{[ [[[1, 25]], 1/431926726801489920000], [[[2, 25]], 1/431926726801489920000], [[[1, 1], [2, 24]], 59/143975575600496640000], [[[1, 2], [2, 23]], 551/17996946950062080000], [[[1, 3], [2, 22]], 9773/7712977264312320000], [[[1, 4], [2, 21]], 99017/3085190905724928000], [[[1, 5], [2, 20]], 1604189/3085190905724928000], [[[1, 6], [2, 19]], 295831/53936903946240000], [[[1, 7], [2, 18]], 97121393/2570992421437440000], [[[1, 7], [7, 3]], 1/10976], [[[1, 8], [2, 17]], 24320357549/143975575600496640000], [[[1, 9], [2, 16]], 209744691991/431926726801489920000], [[[1, 9], [5, 4]], 1/720000], [[[1, 10], [2, 15]], 1603829273/1799694695006208000], [[[1, 11], [2, 14]], 21170251/19776864780288000], [[[1, 11], [3, 7]], 1/33592320], [[[1, 12], [2, 13]], 3544939/3595793596416000], [[[1, 13], [2, 12]], 3544939/3595793596416000], [[[1, 13], [3, 6]], 13/671846400], [[[1, 13], [5, 3]], 449/15482880000], [[[1, 13], [7, 2]], 53/7283146752], [[[1, 13], [13, 1]], 1/1610219520], [[[1, 14], [2, 11]], 21170251/19776864780288000], [[[1, 15], [2, 10]], 1603829273/1799694695006208000], [[[1, 15], [3, 5]], 307/200658124800], [[[1, 15], [11, 1]], 1/27249868800], [[[1, 16], [2, 9]], 209744691991/431926726801489920000], [[[1, 17], [2, 8]], 24320357549/143975575600496640000], [[[1, 17], [3, 4]], 197/4815794995200], [[[1, 17], [4, 4]], 1/257099242143744000], [[[1, 17], [5, 2]], 23/3503554560000], [[[1, 17], [8, 2]], 1/5356234211328000], [[[1, 18], [2, 7]], 97121393/2570992421437440000], [[[1, 19], [2, 6]], 295831/53936903946240000], [[[1, 19], [3, 3]], 5279/12051526975488000], [[[1, 19], [7, 1]], 83/4165959942144000], [[[1, 20], [2, 5]], 1604189/3085190905724928000], [[[1, 21], [2, 4]], 99017/3085190905724928000], [[[1, 21], [3, 2]], 1/514198484287488], [[[1, 21], [4, 2]], 1/514198484287488000], [[[1, 21], [5, 1]], 47/160687026339840000], [[[1, 22], [2, 3]], 9773/7712977264312320000], [[[1, 23], [2, 2]], 551/17996946950062080000], [[[1, 23], [3, 1]], 1/275463473725440000], [[[1, 24], [2, 1]], 59/143975575600496640000], [[[2, 7], [14, 3]], 1/10976], [[[2, 9], [10, 4]], 1/720000], [[[2, 11], [6, 7]], 1/33592320], [[[2, 13], [6, 6]], 13/671846400], [[[2, 13], [10, 3]], 449/15482880000], [[[2, 13], [14, 2]], 53/7283146752], [[[2, 13], [26, 1]], 1/1610219520], [[[2, 15], [6, 5]], 307/200658124800], [[[2, 15], [22, 1]], 1/27249868800], [[[2, 17], [4, 4]], 1/257099242143744000], [[[2, 17], [6, 4]], 197/4815794995200], [[[2, 17], [8, 2]], 1/5356234211328000], [[[2, 17], [10, 2]], 23/3503554560000], [[[2, 19], [6, 3]], 5279/12051526975488000], [[[2, 19], [14, 1]], 83/4165959942144000], [[[2, 21], [4, 2]], 1/514198484287488000], [[[2, 21], [6, 2]], 1/514198484287488], [[[2, 21], [10, 1]], 47/160687026339840000], [[[2, 23], [6, 1]], 1/275463473725440000], [[[1, 1], [2, 6], [14, 3]], 1/5488], [[[1, 1], [2, 8], [10, 4]], 7/720000], [[[1, 1], [2, 10], [6, 7]], 1/11197440], [[[1, 1], [2, 12], [6, 6]], 41/223948800], [[[1, 1], [2, 12], [10, 3]], 9913/15482880000], [[[1, 1], [2, 12], [14, 2]], 4997/18207866880], [[[1, 1], [2, 12], [26, 1]], 1/26836992], [[[1, 1], [2, 14], [4, 5]], 1/23543886643200], [[[1, 1], [2, 14], [6, 5]], 851/22295347200], [[[1, 1], [2, 14], [22, 1]], 67/27249868800], [[[1, 1], [2, 16], [4, 4]], 11/23372658376704000], [[[1, 1], [2, 16], [6, 4]], 2921/1605264998400], [[[1, 1], [2, 16], [8, 2]], 11/486930382848000], [[[1, 1], [2, 16], [10, 2]], 1289/3065610240000], [[[1, 1], [2, 18], [4, 3]], 7/327932706816000], [[[1, 1], [2, 18], [6, 3]], 60899/2008587829248000], [[[1, 1], [2, 18], [14, 1]], 6397/3408512679936000], [[[1, 1], [2, 20], [4, 2]], 19/73456926326784000], [[[1, 1], [2, 20], [6, 2]], 233/1190274269184000], [[[1, 1], [2, 20], [8, 1]], 1/32137405267968000], [[[1, 1], [2, 20], [10, 1]], 673/20085878292480000], [[[1, 1], [2, 22], [4, 1]], 29/856997473812480000], [[[1, 1], [2, 22], [6, 1]], 29/58431645941760000], [[[1, 2], [2, 5], [14, 3]], 1/10976], [[[1, 2], [2, 7], [10, 4]], 1/80000], [[[1, 2], [2, 9], [6, 7]], 1/11197440], [[[1, 2], [2, 11], [4, 6]], 1/15854469120], [[[1, 2], [2, 11], [6, 6]], 23/44789760], [[[1, 2], [2, 11], [10, 3]], 859/184320000], [[[1, 2], [2, 11], [14, 2]], 12757/4046192640], [[[1, 2], [2, 11], [26, 1]], 73/107347968], [[[1, 2], [2, 13], [4, 5]], 67/23543886643200], [[[1, 2], [2, 13], [6, 5]], 4769/16721510400], [[[1, 2], [2, 13], [22, 1]], 503/9083289600], [[[1, 2], [2, 15], [4, 4]], 35081/1071246842265600], [[[1, 2], [2, 15], [6, 4]], 9127/321052999680], [[[1, 2], [2, 15], [8, 2]], 31/29756856729600], [[[1, 2], [2, 15], [10, 2]], 7417/766402560000], [[[1, 2], [2, 17], [4, 3]], 1109/655865413632000], [[[1, 2], [2, 17], [6, 3]], 45677/57388223692800], [[[1, 2], [2, 17], [7, 1]], 1/1171676233728000], [[[1, 2], [2, 17], [14, 1]], 85889/1249787982643200], [[[1, 2], [2, 19], [3, 2]], 1/24103053950976000], [[[1, 2], [2, 19], [4, 2]], 4973/34279898952499200], [[[1, 2], [2, 19], [5, 1]], 1/6695292764160000], [[[1, 2], [2, 19], [6, 2]], 167017/21424936845312000], [[[1, 2], [2, 19], [8, 1]], 127/32137405267968000], [[[1, 2], [2, 19], [10, 1]], 27487/17854114037760000], [[[1, 2], [2, 21], [3, 1]], 1/192824431607808000], [[[1, 2], [2, 21], [4, 1]], 10937/2570992421437440000], [[[1, 2], [2, 21], [6, 1]], 3581/128549621071872000], [[[1, 3], [2, 6], [10, 4]], 1/240000], [[[1, 3], [2, 8], [4, 7]], 1/113246208], [[[1, 3], [2, 8], [6, 7]], 1/33592320], [[[1, 3], [2, 10], [4, 6]], 29/15854469120], [[[1, 3], [2, 10], [6, 6]], 83/134369280], [[[1, 3], [2, 10], [7, 2]], 1/4046192640], [[[1, 3], [2, 10], [10, 3]], 7669/552960000], [[[1, 3], [2, 10], [13, 1]], 1/536739840], [[[1, 3], [2, 10], [14, 2]], 313/24084480], [[[1, 3], [2, 10], [26, 1]], 7/1437696], [[[1, 3], [2, 12], [4, 5]], 4457/713451110400], [[[1, 3], [2, 12], [6, 5]], 43339/50164531200], [[[1, 3], [2, 12], [22, 1]], 15163/27249868800], [[[1, 3], [2, 14], [4, 4]], 3233/2354388664320], [[[1, 3], [2, 14], [6, 4]], 939419/4815794995200], [[[1, 3], [2, 14], [8, 2]], 23/980995276800], [[[1, 3], [2, 14], [10, 2]], 212299/2043740160000], [[[1, 3], [2, 16], [4, 3]], 81251/408094035148800], [[[1, 3], [2, 16], [6, 3]], 1747481/172164671078400], [[[1, 3], [2, 16], [7, 1]], 11/106516021248000], [[[1, 3], [2, 16], [14, 1]], 52453/41201801625600], [[[1, 3], [2, 18], [3, 2]], 41/8034351316992000], [[[1, 3], [2, 18], [4, 2]], 1896541/171399494762496000], [[[1, 3], [2, 18], [5, 1]], 41/2231764254720000], [[[1, 3], [2, 18], [6, 2]], 2567381/16068702633984000], [[[1, 3], [2, 18], [8, 1]], 901/4591057895424000], [[[1, 3], [2, 18], [10, 1]], 246919/6695292764160000], [[[1, 3], [2, 20], [3, 1]], 19/27546347372544000], [[[1, 3], [2, 20], [4, 1]], 5153/23732237736345600], [[[1, 3], [2, 20], [6, 1]], 323429/385648863215616000], [[[1, 4], [2, 5], [4, 8]], 1/37748736], [[[1, 4], [2, 7], [4, 7]], 7/113246208], [[[1, 4], [2, 9], [4, 6]], 13/47185920], [[[1, 4], [2, 9], [5, 3]], 1/15482880000], [[[1, 4], [2, 9], [6, 6]], 11/33592320], [[[1, 4], [2, 9], [7, 2]], 29/2023096320], [[[1, 4], [2, 9], [10, 3]], 3709/221184000], [[[1, 4], [2, 9], [13, 1]], 43/402554880], [[[1, 4], [2, 9], [14, 2]], 5627/289013760], [[[1, 4], [2, 9], [26, 1]], 1871/115015680], [[[1, 4], [2, 11], [4, 5]], 6457/47563407360], [[[1, 4], [2, 11], [6, 5]], 3523/2866544640], [[[1, 4], [2, 11], [11, 1]], 1/1816657920], [[[1, 4], [2, 11], [22, 1]], 1079/389283840], [[[1, 4], [2, 13], [4, 4]], 12413/267544166400], [[[1, 4], [2, 13], [6, 4]], 547/849346560], [[[1, 4], [2, 13], [8, 2]], 7/25480396800], [[[1, 4], [2, 13], [10, 2]], 84001/148635648000], [[[1, 4], [2, 15], [4, 3]], 673843/94175546572800], [[[1, 4], [2, 15], [6, 3]], 255781/3783838924800], [[[1, 4], [2, 15], [7, 1]], 31/6509312409600], [[[1, 4], [2, 15], [14, 1]], 97333/7491236659200], [[[1, 4], [2, 17], [3, 2]], 647/2678117105664000], [[[1, 4], [2, 17], [4, 2]], 173411501/514198484287488000], [[[1, 4], [2, 17], [5, 1]], 17467/20085878292480000], [[[1, 4], [2, 17], [6, 2]], 23632309/12854962107187200], [[[1, 4], [2, 17], [8, 1]], 14471/2921582297088000], [[[1, 4], [2, 17], [10, 1]], 1799771/3570822807552000], [[[1, 4], [2, 19], [3, 1]], 271/7416324292608000], [[[1, 4], [2, 19], [4, 1]], 1292617/220370778980352000], [[[1, 4], [2, 19], [6, 1]], 638107/42849873690624000], [[[1, 5], [2, 2], [7, 3]], 1/10976], [[[1, 5], [2, 4], [4, 8]], 1/37748736], [[[1, 5], [2, 6], [4, 7]], 1/1179648], [[[1, 5], [2, 8], [4, 6]], 55/28311552], [[[1, 5], [2, 8], [5, 3]], 19/5160960000], [[[1, 5], [2, 8], [6, 6]], 1/16796160], [[[1, 5], [2, 8], [7, 2]], 109/449576960], [[[1, 5], [2, 8], [10, 3]], 377/44236800], [[[1, 5], [2, 8], [13, 1]], 943/536739840], [[[1, 5], [2, 8], [14, 2]], 349/28901376], [[[1, 5], [2, 8], [26, 1]], 157/5750784], [[[1, 5], [2, 10], [4, 5]], 12451/6794772480], [[[1, 5], [2, 10], [6, 5]], 793/955514880], [[[1, 5], [2, 10], [11, 1]], 173/5449973760], [[[1, 5], [2, 10], [22, 1]], 2813/389283840], [[[1, 5], [2, 12], [4, 4]], 41903/59454259200], [[[1, 5], [2, 12], [5, 2]], 1/49545216000], [[[1, 5], [2, 12], [6, 4]], 173521/160526499840], [[[1, 5], [2, 12], [8, 2]], 11/6606028800], [[[1, 5], [2, 12], [10, 2]], 7387/4644864000], [[[1, 5], [2, 14], [4, 3]], 313133/2942985830400], [[[1, 5], [2, 14], [6, 3]], 5837/24078974976], [[[1, 5], [2, 14], [7, 1]], 23/214592716800], [[[1, 5], [2, 14], [14, 1]], 562801/7491236659200], [[[1, 5], [2, 16], [3, 2]], 136861/24103053950976000], [[[1, 5], [2, 16], [4, 2]], 378155663/73456926326784000], [[[1, 5], [2, 16], [5, 1]], 410341/20085878292480000], [[[1, 5], [2, 16], [6, 2]], 3743437/306070526361600], [[[1, 5], [2, 16], [8, 1]], 74351/1071246842265600], [[[1, 5], [2, 16], [10, 1]], 14957/3678732288000], [[[1, 5], [2, 18], [3, 1]], 109/108206751744000], [[[1, 5], [2, 18], [4, 1]], 33808441/367284631633920000], [[[1, 5], [2, 18], [6, 1]], 2975501/18364231581696000], [[[1, 5], [4, 4], [5, 3]], 1/9216000], [[[1, 5], [4, 4], [7, 2]], 1/2408448], [[[1, 5], [4, 4], [13, 1]], 1/958464], [[[1, 5], [5, 3], [8, 2]], 1/192000], [[[1, 5], [7, 2], [8, 2]], 1/50176], [[[1, 5], [8, 2], [13, 1]], 1/19968], [[[1, 6], [2, 1], [7, 3]], 1/5488], [[[1, 6], [2, 3], [5, 4]], 1/240000], [[[1, 6], [2, 5], [4, 7]], 1/1179648], [[[1, 6], [2, 7], [4, 6]], 449/75497472], [[[1, 6], [2, 7], [5, 3]], 11/184320000], [[[1, 6], [2, 7], [7, 2]], 107/72253440], [[[1, 6], [2, 7], [10, 3]], 901/552960000], [[[1, 6], [2, 7], [13, 1]], 1/99840], [[[1, 6], [2, 7], [14, 2]], 1147/289013760], [[[1, 6], [2, 7], [26, 1]], 209/8847360], [[[1, 6], [2, 9], [3, 5]], 1/601974374400], [[[1, 6], [2, 9], [4, 5]], 20723/2264924160], [[[1, 6], [2, 9], [6, 5]], 4831/21499084800], [[[1, 6], [2, 9], [11, 1]], 14431/27249868800], [[[1, 6], [2, 9], [22, 1]], 1817/176947200], [[[1, 6], [2, 11], [3, 4]], 1/321052999680], [[[1, 6], [2, 11], [4, 4]], 171707/39636172800], [[[1, 6], [2, 11], [5, 2]], 1/825753600], [[[1, 6], [2, 11], [6, 4]], 63491/68797071360], [[[1, 6], [2, 11], [8, 2]], 7/1415577600], [[[1, 6], [2, 11], [10, 2]], 30503/13271040000], [[[1, 6], [2, 13], [4, 3]], 2192947/2942985830400], [[[1, 6], [2, 13], [6, 3]], 57263/120394874880], [[[1, 6], [2, 13], [7, 1]], 3181/2497078886400], [[[1, 6], [2, 13], [14, 1]], 464257/1872809164800], [[[1, 6], [2, 15], [3, 2]], 5237/73039557427200], [[[1, 6], [2, 15], [4, 2]], 910182187/21424936845312000], [[[1, 6], [2, 15], [5, 1]], 2129/8265793536000], [[[1, 6], [2, 15], [6, 2]], 100545239/2118949797888000], [[[1, 6], [2, 15], [8, 1]], 6547/11771943321600], [[[1, 6], [2, 15], [10, 1]], 1643417/84085309440000], [[[1, 6], [2, 17], [3, 1]], 463187/29215822970880000], [[[1, 6], [2, 17], [4, 1]], 2237011457/2570992421437440000], [[[1, 6], [2, 17], [6, 1]], 421463527/385648863215616000], [[[1, 7], [2, 2], [5, 4]], 1/80000], [[[1, 7], [2, 4], [4, 7]], 7/113246208], [[[1, 7], [2, 6], [4, 6]], 449/75497472], [[[1, 7], [2, 6], [5, 3]], 901/552960000], [[[1, 7], [2, 6], [7, 2]], 1147/289013760], [[[1, 7], [2, 6], [10, 3]], 11/184320000], [[[1, 7], [2, 6], [13, 1]], 209/8847360], [[[1, 7], [2, 6], [14, 2]], 107/72253440], [[[1, 7], [2, 6], [26, 1]], 1/99840], [[[1, 7], [2, 8], [3, 5]], 19/200658124800], [[[1, 7], [2, 8], [4, 5]], 271/17694720], [[[1, 7], [2, 8], [6, 5]], 61/7166361600], [[[1, 7], [2, 8], [11, 1]], 28439/9083289600], [[[1, 7], [2, 8], [22, 1]], 15461/1946419200], [[[1, 7], [2, 10], [3, 4]], 59/321052999680], [[[1, 7], [2, 10], [4, 4]], 9859/880803840], [[[1, 7], [2, 10], [5, 2]], 137/6193152000], [[[1, 7], [2, 10], [6, 4]], 1663/4586471424], [[[1, 7], [2, 10], [8, 2]], 13/1981808640], [[[1, 7], [2, 10], [10, 2]], 2581/1474560000], [[[1, 7], [2, 12], [3, 3]], 1/160526499840], [[[1, 7], [2, 12], [4, 3]], 7310977/2853804441600], [[[1, 7], [2, 12], [6, 3]], 101833/200658124800], [[[1, 7], [2, 12], [7, 1]], 7211/832359628800], [[[1, 7], [2, 12], [14, 1]], 292223/624269721600], [[[1, 7], [2, 14], [3, 2]], 14071/28252663971840], [[[1, 7], [2, 14], [4, 2]], 211319/1089994752000], [[[1, 7], [2, 14], [5, 1]], 209593/117719433216000], [[[1, 7], [2, 14], [6, 2]], 861443/8026324992000], [[[1, 7], [2, 14], [8, 1]], 2713/1070176665600], [[[1, 7], [2, 14], [10, 1]], 186707/3344302080000], [[[1, 7], [2, 16], [3, 1]], 141785071/964122158039040000], [[[1, 7], [2, 16], [4, 1]], 28576657/5713316492083200], [[[1, 7], [2, 16], [6, 1]], 83828113/18364231581696000], [[[1, 7], [3, 1], [5, 4]], 1/90000], [[[1, 7], [3, 3], [5, 3]], 1/108000], [[[1, 7], [3, 3], [7, 2]], 1/63504], [[[1, 7], [3, 3], [13, 1]], 1/44928], [[[1, 7], [3, 5], [4, 4]], 1/358318080], [[[1, 7], [3, 5], [8, 2]], 1/7464960], [[[1, 7], [4, 4], [11, 1]], 1/16220160], [[[1, 7], [5, 2], [11, 1]], 1/52800], [[[1, 7], [5, 3], [7, 1]], 1/42000], [[[1, 7], [7, 1], [13, 1]], 1/4368], [[[1, 7], [8, 2], [11, 1]], 1/337920], [[[1, 8], [2, 1], [5, 4]], 7/720000], [[[1, 8], [2, 3], [3, 7]], 1/33592320], [[[1, 8], [2, 3], [4, 7]], 1/113246208], [[[1, 8], [2, 5], [3, 6]], 1/16796160], [[[1, 8], [2, 5], [4, 6]], 55/28311552], [[[1, 8], [2, 5], [5, 3]], 377/44236800], [[[1, 8], [2, 5], [7, 2]], 349/28901376], [[[1, 8], [2, 5], [10, 3]], 19/5160960000], [[[1, 8], [2, 5], [13, 1]], 157/5750784], [[[1, 8], [2, 5], [14, 2]], 109/449576960], [[[1, 8], [2, 5], [26, 1]], 943/536739840], [[[1, 8], [2, 7], [3, 5]], 61/7166361600], [[[1, 8], [2, 7], [4, 5]], 271/17694720], [[[1, 8], [2, 7], [6, 5]], 19/200658124800], [[[1, 8], [2, 7], [11, 1]], 15461/1946419200], [[[1, 8], [2, 7], [22, 1]], 28439/9083289600], [[[1, 8], [2, 9], [3, 4]], 89/27518828544], [[[1, 8], [2, 9], [4, 4]], 948659/63417876480], [[[1, 8], [2, 9], [5, 2]], 14807/92897280000], [[[1, 8], [2, 9], [6, 4]], 5149/107017666560], [[[1, 8], [2, 9], [8, 2]], 1/264241152], [[[1, 8], [2, 9], [10, 2]], 58643/82575360000], [[[1, 8], [2, 11], [3, 3]], 29/80263249920], [[[1, 8], [2, 11], [4, 3]], 4476373/951268147200], [[[1, 8], [2, 11], [6, 3]], 1576937/5618427494400], [[[1, 8], [2, 11], [7, 1]], 1879/46242201600], [[[1, 8], [2, 11], [14, 1]], 361189/699182088192], [[[1, 8], [2, 13], [3, 2]], 12479/6421059993600], [[[1, 8], [2, 13], [4, 2]], 42517793/85614133248000], [[[1, 8], [2, 13], [5, 1]], 143/20901888000], [[[1, 8], [2, 13], [6, 2]], 63055249/449474199552000], [[[1, 8], [2, 13], [8, 1]], 751/118908518400], [[[1, 8], [2, 13], [10, 1]], 43112563/457797795840000], [[[1, 8], [2, 15], [3, 1]], 103123309/128549621071872000], [[[1, 8], [2, 15], [4, 1]], 498131/28538044416000], [[[1, 8], [2, 15], [6, 1]], 167457737/14283291230208000], [[[1, 9], [2, 2], [3, 7]], 1/11197440], [[[1, 9], [2, 4], [3, 6]], 11/33592320], [[[1, 9], [2, 4], [4, 6]], 13/47185920], [[[1, 9], [2, 4], [5, 3]], 3709/221184000], [[[1, 9], [2, 4], [7, 2]], 5627/289013760], [[[1, 9], [2, 4], [10, 3]], 1/15482880000], [[[1, 9], [2, 4], [13, 1]], 1871/115015680], [[[1, 9], [2, 4], [14, 2]], 29/2023096320], [[[1, 9], [2, 4], [26, 1]], 43/402554880], [[[1, 9], [2, 6], [3, 5]], 4831/21499084800], [[[1, 9], [2, 6], [4, 5]], 20723/2264924160], [[[1, 9], [2, 6], [6, 5]], 1/601974374400], [[[1, 9], [2, 6], [11, 1]], 1817/176947200], [[[1, 9], [2, 6], [22, 1]], 14431/27249868800], [[[1, 9], [2, 8], [3, 4]], 5149/107017666560], [[[1, 9], [2, 8], [4, 4]], 948659/63417876480], [[[1, 9], [2, 8], [5, 2]], 58643/82575360000], [[[1, 9], [2, 8], [6, 4]], 89/27518828544], [[[1, 9], [2, 8], [8, 2]], 1/264241152], [[[1, 9], [2, 8], [10, 2]], 14807/92897280000], [[[1, 9], [2, 10], [3, 3]], 3083/401316249600], [[[1, 9], [2, 10], [4, 3]], 63319/11324620800], [[[1, 9], [2, 10], [6, 3]], 606239/8427641241600], [[[1, 9], [2, 10], [7, 1]], 419309/2913258700800], [[[1, 9], [2, 10], [14, 1]], 3605951/10487731322880], [[[1, 9], [2, 12], [3, 2]], 20869/4280706662400], [[[1, 9], [2, 12], [4, 2]], 288629/380507258880], [[[1, 9], [2, 12], [5, 1]], 3847/237817036800], [[[1, 9], [2, 12], [6, 2]], 70162493/674211299328000], [[[1, 9], [2, 12], [8, 1]], 953/118908518400], [[[1, 9], [2, 12], [10, 1]], 436841/4598415360000], [[[1, 9], [2, 14], [3, 1]], 3573149/1412633198592000], [[[1, 9], [2, 14], [4, 1]], 30530429/824036032512000], [[[1, 9], [2, 14], [6, 1]], 7080267637/385648863215616000], [[[1, 9], [3, 2], [5, 3]], 1/86400], [[[1, 9], [3, 2], [7, 2]], 19/677376], [[[1, 9], [3, 2], [13, 1]], 7/599040], [[[1, 9], [3, 3], [11, 1]], 1/76032], [[[1, 9], [3, 4], [4, 4]], 1/573308928], [[[1, 9], [3, 4], [5, 2]], 19/3110400], [[[1, 9], [3, 4], [8, 2]], 1/11943936], [[[1, 9], [3, 5], [7, 1]], 1/725760], [[[1, 9], [3, 5], [9, 1]], 1/186624], [[[1, 9], [3, 6], [4, 2]], 1/22394880], [[[1, 9], [3, 6], [5, 1]], 1/3499200], [[[1, 9], [4, 2], [5, 3]], 1/18432000], [[[1, 9], [4, 2], [7, 2]], 1/4816896], [[[1, 9], [4, 2], [13, 1]], 1/1916928], [[[1, 9], [4, 4], [5, 2]], 1/442368000], [[[1, 9], [5, 1], [7, 2]], 1/37632], [[[1, 9], [5, 1], [13, 1]], 1/74880], [[[1, 9], [5, 2], [8, 2]], 1/9216000], [[[1, 9], [7, 1], [11, 1]], 1/73920], [[[1, 10], [2, 1], [3, 7]], 1/11197440], [[[1, 10], [2, 3], [3, 6]], 83/134369280], [[[1, 10], [2, 3], [4, 6]], 29/15854469120], [[[1, 10], [2, 3], [5, 3]], 7669/552960000], [[[1, 10], [2, 3], [7, 2]], 313/24084480], [[[1, 10], [2, 3], [13, 1]], 7/1437696], [[[1, 10], [2, 3], [14, 2]], 1/4046192640], [[[1, 10], [2, 3], [26, 1]], 1/536739840], [[[1, 10], [2, 5], [3, 5]], 793/955514880], [[[1, 10], [2, 5], [4, 5]], 12451/6794772480], [[[1, 10], [2, 5], [11, 1]], 2813/389283840], [[[1, 10], [2, 5], [22, 1]], 173/5449973760], [[[1, 10], [2, 7], [3, 4]], 1663/4586471424], [[[1, 10], [2, 7], [4, 4]], 9859/880803840], [[[1, 10], [2, 7], [5, 2]], 2581/1474560000], [[[1, 10], [2, 7], [6, 4]], 59/321052999680], [[[1, 10], [2, 7], [8, 2]], 13/1981808640], [[[1, 10], [2, 7], [10, 2]], 137/6193152000], [[[1, 10], [2, 9], [3, 3]], 606239/8427641241600], [[[1, 10], [2, 9], [4, 3]], 63319/11324620800], [[[1, 10], [2, 9], [6, 3]], 3083/401316249600], [[[1, 10], [2, 9], [7, 1]], 3605951/10487731322880], [[[1, 10], [2, 9], [14, 1]], 419309/2913258700800], [[[1, 10], [2, 11], [3, 2]], 2689/214035333120], [[[1, 10], [2, 11], [4, 2]], 10939783/13317754060800], [[[1, 10], [2, 11], [5, 1]], 4111/130056192000], [[[1, 10], [2, 11], [6, 2]], 1300489/29964946636800], [[[1, 10], [2, 11], [8, 1]], 131/23781703680], [[[1, 10], [2, 11], [10, 1]], 4602421/74912366592000], [[[1, 10], [2, 13], [3, 1]], 611971/128421199872000], [[[1, 10], [2, 13], [4, 1]], 123037231/2472108097536000], [[[1, 10], [2, 13], [6, 1]], 174465887/9888432390144000], [[[1, 11], [2, 2], [3, 6]], 23/44789760], [[[1, 11], [2, 2], [4, 6]], 1/15854469120], [[[1, 11], [2, 2], [5, 3]], 859/184320000], [[[1, 11], [2, 2], [7, 2]], 12757/4046192640], [[[1, 11], [2, 2], [13, 1]], 73/107347968], [[[1, 11], [2, 4], [3, 5]], 3523/2866544640], [[[1, 11], [2, 4], [4, 5]], 6457/47563407360], [[[1, 11], [2, 4], [11, 1]], 1079/389283840], [[[1, 11], [2, 4], [22, 1]], 1/1816657920], [[[1, 11], [2, 6], [3, 4]], 63491/68797071360], [[[1, 11], [2, 6], [4, 4]], 171707/39636172800], [[[1, 11], [2, 6], [5, 2]], 30503/13271040000], [[[1, 11], [2, 6], [6, 4]], 1/321052999680], [[[1, 11], [2, 6], [8, 2]], 7/1415577600], [[[1, 11], [2, 6], [10, 2]], 1/825753600], [[[1, 11], [2, 8], [3, 3]], 1576937/5618427494400], [[[1, 11], [2, 8], [4, 3]], 4476373/951268147200], [[[1, 11], [2, 8], [6, 3]], 29/80263249920], [[[1, 11], [2, 8], [7, 1]], 361189/699182088192], [[[1, 11], [2, 8], [14, 1]], 1879/46242201600], [[[1, 11], [2, 10], [3, 2]], 1300489/29964946636800], [[[1, 11], [2, 10], [4, 2]], 10939783/13317754060800], [[[1, 11], [2, 10], [5, 1]], 4602421/74912366592000], [[[1, 11], [2, 10], [6, 2]], 2689/214035333120], [[[1, 11], [2, 10], [8, 1]], 131/23781703680], [[[1, 11], [2, 10], [10, 1]], 4111/130056192000], [[[1, 11], [2, 12], [3, 1]], 2073497/299649466368000], [[[1, 11], [2, 12], [4, 1]], 1862149/37456183296000], [[[1, 11], [2, 12], [6, 1]], 10249871/898948399104000], [[[1, 11], [3, 1], [5, 3]], 49/34560000], [[[1, 11], [3, 1], [7, 2]], 1/774144], [[[1, 11], [3, 1], [13, 1]], 5/17891328], [[[1, 11], [3, 2], [11, 1]], 1/1013760], [[[1, 11], [3, 3], [4, 4]], 1/10032906240], [[[1, 11], [3, 3], [5, 2]], 299/124416000], [[[1, 11], [3, 3], [8, 2]], 1/209018880], [[[1, 11], [3, 4], [7, 1]], 1/645120], [[[1, 11], [3, 4], [9, 1]], 11/7464960], [[[1, 11], [3, 5], [4, 2]], 7/238878720], [[[1, 11], [3, 5], [5, 1]], 7/9331200], [[[1, 11], [4, 2], [11, 1]], 1/32440320], [[[1, 11], [4, 4], [7, 1]], 1/31213486080], [[[1, 11], [5, 1], [11, 1]], 299/378470400], [[[1, 11], [5, 2], [7, 1]], 1/576000], [[[1, 11], [7, 1], [8, 2]], 1/650280960], [[[1, 12], [2, 1], [3, 6]], 41/223948800], [[[1, 12], [2, 1], [5, 3]], 9913/15482880000], [[[1, 12], [2, 1], [7, 2]], 4997/18207866880], [[[1, 12], [2, 1], [13, 1]], 1/26836992], [[[1, 12], [2, 3], [3, 5]], 43339/50164531200], [[[1, 12], [2, 3], [4, 5]], 4457/713451110400], [[[1, 12], [2, 3], [11, 1]], 15163/27249868800], [[[1, 12], [2, 5], [3, 4]], 173521/160526499840], [[[1, 12], [2, 5], [4, 4]], 41903/59454259200], [[[1, 12], [2, 5], [5, 2]], 7387/4644864000], [[[1, 12], [2, 5], [8, 2]], 11/6606028800], [[[1, 12], [2, 5], [10, 2]], 1/49545216000], [[[1, 12], [2, 7], [3, 3]], 101833/200658124800], [[[1, 12], [2, 7], [4, 3]], 7310977/2853804441600], [[[1, 12], [2, 7], [6, 3]], 1/160526499840], [[[1, 12], [2, 7], [7, 1]], 292223/624269721600], [[[1, 12], [2, 7], [14, 1]], 7211/832359628800], [[[1, 12], [2, 9], [3, 2]], 70162493/674211299328000], [[[1, 12], [2, 9], [4, 2]], 288629/380507258880], [[[1, 12], [2, 9], [5, 1]], 436841/4598415360000], [[[1, 12], [2, 9], [6, 2]], 20869/4280706662400], [[[1, 12], [2, 9], [8, 1]], 953/118908518400], [[[1, 12], [2, 9], [10, 1]], 3847/237817036800], [[[1, 12], [2, 11], [3, 1]], 10249871/898948399104000], [[[1, 12], [2, 11], [4, 1]], 1862149/37456183296000], [[[1, 12], [2, 11], [6, 1]], 2073497/299649466368000], [[[1, 13], [2, 2], [3, 5]], 4769/16721510400], [[[1, 13], [2, 2], [4, 5]], 67/23543886643200], [[[1, 13], [2, 2], [11, 1]], 503/9083289600], [[[1, 13], [2, 4], [3, 4]], 547/849346560], [[[1, 13], [2, 4], [4, 4]], 12413/267544166400], [[[1, 13], [2, 4], [5, 2]], 84001/148635648000], [[[1, 13], [2, 4], [8, 2]], 7/25480396800], [[[1, 13], [2, 6], [3, 3]], 57263/120394874880], [[[1, 13], [2, 6], [4, 3]], 2192947/2942985830400], [[[1, 13], [2, 6], [7, 1]], 464257/1872809164800], [[[1, 13], [2, 6], [14, 1]], 3181/2497078886400], [[[1, 13], [2, 8], [3, 2]], 63055249/449474199552000], [[[1, 13], [2, 8], [4, 2]], 42517793/85614133248000], [[[1, 13], [2, 8], [5, 1]], 43112563/457797795840000], [[[1, 13], [2, 8], [6, 2]], 12479/6421059993600], [[[1, 13], [2, 8], [8, 1]], 751/118908518400], [[[1, 13], [2, 8], [10, 1]], 143/20901888000], [[[1, 13], [2, 10], [3, 1]], 174465887/9888432390144000], [[[1, 13], [2, 10], [4, 1]], 123037231/2472108097536000], [[[1, 13], [2, 10], [6, 1]], 611971/128421199872000], [[[1, 13], [3, 1], [11, 1]], 13/756940800], [[[1, 13], [3, 2], [4, 4]], 1/802632499200], [[[1, 13], [3, 2], [5, 2]], 589/3715891200], [[[1, 13], [3, 2], [8, 2]], 1/16721510400], [[[1, 13], [3, 3], [7, 1]], 281/2601123840], [[[1, 13], [3, 3], [9, 1]], 59/1114767360], [[[1, 13], [3, 4], [4, 2]], 11/4459069440], [[[1, 13], [3, 4], [5, 1]], 11/87091200], [[[1, 13], [4, 2], [5, 2]], 1/884736000], [[[1, 13], [4, 4], [5, 1]], 1/2452488192000], [[[1, 13], [5, 1], [8, 2]], 1/51093504000], [[[1, 14], [2, 1], [3, 5]], 851/22295347200], [[[1, 14], [2, 1], [4, 5]], 1/23543886643200], [[[1, 14], [2, 1], [11, 1]], 67/27249868800], [[[1, 14], [2, 3], [3, 4]], 939419/4815794995200], [[[1, 14], [2, 3], [4, 4]], 3233/2354388664320], [[[1, 14], [2, 3], [5, 2]], 212299/2043740160000], [[[1, 14], [2, 3], [8, 2]], 23/980995276800], [[[1, 14], [2, 5], [3, 3]], 5837/24078974976], [[[1, 14], [2, 5], [4, 3]], 313133/2942985830400], [[[1, 14], [2, 5], [7, 1]], 562801/7491236659200], [[[1, 14], [2, 5], [14, 1]], 23/214592716800], [[[1, 14], [2, 7], [3, 2]], 861443/8026324992000], [[[1, 14], [2, 7], [4, 2]], 211319/1089994752000], [[[1, 14], [2, 7], [5, 1]], 186707/3344302080000], [[[1, 14], [2, 7], [6, 2]], 14071/28252663971840], [[[1, 14], [2, 7], [8, 1]], 2713/1070176665600], [[[1, 14], [2, 7], [10, 1]], 209593/117719433216000], [[[1, 14], [2, 9], [3, 1]], 7080267637/385648863215616000], [[[1, 14], [2, 9], [4, 1]], 30530429/824036032512000], [[[1, 14], [2, 9], [6, 1]], 3573149/1412633198592000], [[[1, 15], [2, 2], [3, 4]], 9127/321052999680], [[[1, 15], [2, 2], [4, 4]], 35081/1071246842265600], [[[1, 15], [2, 2], [5, 2]], 7417/766402560000], [[[1, 15], [2, 2], [8, 2]], 31/29756856729600], [[[1, 15], [2, 4], [3, 3]], 255781/3783838924800], [[[1, 15], [2, 4], [4, 3]], 673843/94175546572800], [[[1, 15], [2, 4], [7, 1]], 97333/7491236659200], [[[1, 15], [2, 4], [14, 1]], 31/6509312409600], [[[1, 15], [2, 6], [3, 2]], 100545239/2118949797888000], [[[1, 15], [2, 6], [4, 2]], 910182187/21424936845312000], [[[1, 15], [2, 6], [5, 1]], 1643417/84085309440000], [[[1, 15], [2, 6], [6, 2]], 5237/73039557427200], [[[1, 15], [2, 6], [8, 1]], 6547/11771943321600], [[[1, 15], [2, 6], [10, 1]], 2129/8265793536000], [[[1, 15], [2, 8], [3, 1]], 167457737/14283291230208000], [[[1, 15], [2, 8], [4, 1]], 498131/28538044416000], [[[1, 15], [2, 8], [6, 1]], 103123309/128549621071872000], [[[1, 15], [3, 1], [4, 4]], 1/229552894771200], [[[1, 15], [3, 1], [5, 2]], 7421/3065610240000], [[[1, 15], [3, 1], [8, 2]], 1/4782351974400], [[[1, 15], [3, 2], [7, 1]], 11/5202247680], [[[1, 15], [3, 2], [9, 1]], 37/66886041600], [[[1, 15], [3, 3], [4, 2]], 1/14332723200], [[[1, 15], [3, 3], [5, 1]], 2447/501645312000], [[[1, 15], [4, 2], [7, 1]], 1/62426972160], [[[1, 15], [5, 1], [7, 1]], 4783/8583708672000], [[[1, 16], [2, 1], [3, 4]], 2921/1605264998400], [[[1, 16], [2, 1], [4, 4]], 11/23372658376704000], [[[1, 16], [2, 1], [5, 2]], 1289/3065610240000], [[[1, 16], [2, 1], [8, 2]], 11/486930382848000], [[[1, 16], [2, 3], [3, 3]], 1747481/172164671078400], [[[1, 16], [2, 3], [4, 3]], 81251/408094035148800], [[[1, 16], [2, 3], [7, 1]], 52453/41201801625600], [[[1, 16], [2, 3], [14, 1]], 11/106516021248000], [[[1, 16], [2, 5], [3, 2]], 3743437/306070526361600], [[[1, 16], [2, 5], [4, 2]], 378155663/73456926326784000], [[[1, 16], [2, 5], [5, 1]], 14957/3678732288000], [[[1, 16], [2, 5], [6, 2]], 136861/24103053950976000], [[[1, 16], [2, 5], [8, 1]], 74351/1071246842265600], [[[1, 16], [2, 5], [10, 1]], 410341/20085878292480000], [[[1, 16], [2, 7], [3, 1]], 83828113/18364231581696000], [[[1, 16], [2, 7], [4, 1]], 28576657/5713316492083200], [[[1, 16], [2, 7], [6, 1]], 141785071/964122158039040000], [[[1, 17], [2, 2], [3, 3]], 45677/57388223692800], [[[1, 17], [2, 2], [4, 3]], 1109/655865413632000], [[[1, 17], [2, 2], [7, 1]], 85889/1249787982643200], [[[1, 17], [2, 2], [14, 1]], 1/1171676233728000], [[[1, 17], [2, 4], [3, 2]], 23632309/12854962107187200], [[[1, 17], [2, 4], [4, 2]], 173411501/514198484287488000], [[[1, 17], [2, 4], [5, 1]], 1799771/3570822807552000], [[[1, 17], [2, 4], [6, 2]], 647/2678117105664000], [[[1, 17], [2, 4], [8, 1]], 14471/2921582297088000], [[[1, 17], [2, 4], [10, 1]], 17467/20085878292480000], [[[1, 17], [2, 6], [3, 1]], 421463527/385648863215616000], [[[1, 17], [2, 6], [4, 1]], 2237011457/2570992421437440000], [[[1, 17], [2, 6], [6, 1]], 463187/29215822970880000], [[[1, 17], [3, 1], [7, 1]], 1/78721843200], [[[1, 17], [3, 1], [9, 1]], 1/936404582400], [[[1, 17], [3, 2], [4, 2]], 53/76517631590400], [[[1, 17], [3, 2], [5, 1]], 167/2732772556800], [[[1, 17], [4, 2], [5, 1]], 1/4904976384000], [[[1, 17], [4, 2], [12, 1]], 1/2008587829248000], [[[1, 18], [2, 1], [3, 3]], 60899/2008587829248000], [[[1, 18], [2, 1], [4, 3]], 7/327932706816000], [[[1, 18], [2, 1], [7, 1]], 6397/3408512679936000], [[[1, 18], [2, 3], [3, 2]], 2567381/16068702633984000], [[[1, 18], [2, 3], [4, 2]], 1896541/171399494762496000], [[[1, 18], [2, 3], [5, 1]], 246919/6695292764160000], [[[1, 18], [2, 3], [6, 2]], 41/8034351316992000], [[[1, 18], [2, 3], [8, 1]], 901/4591057895424000], [[[1, 18], [2, 3], [10, 1]], 41/2231764254720000], [[[1, 18], [2, 5], [3, 1]], 2975501/18364231581696000], [[[1, 18], [2, 5], [4, 1]], 33808441/367284631633920000], [[[1, 18], [2, 5], [6, 1]], 109/108206751744000], [[[1, 19], [2, 2], [3, 2]], 167017/21424936845312000], [[[1, 19], [2, 2], [4, 2]], 4973/34279898952499200], [[[1, 19], [2, 2], [5, 1]], 27487/17854114037760000], [[[1, 19], [2, 2], [6, 2]], 1/24103053950976000], [[[1, 19], [2, 2], [8, 1]], 127/32137405267968000], [[[1, 19], [2, 2], [10, 1]], 1/6695292764160000], [[[1, 19], [2, 4], [3, 1]], 638107/42849873690624000], [[[1, 19], [2, 4], [4, 1]], 1292617/220370778980352000], [[[1, 19], [2, 4], [6, 1]], 271/7416324292608000], [[[1, 19], [3, 1], [4, 2]], 1/446352850944000], [[[1, 19], [3, 1], [5, 1]], 9/36736860160000], [[[1, 19], [4, 1], [8, 1]], 1/10712468422656000], [[[1, 20], [2, 1], [3, 2]], 233/1190274269184000], [[[1, 20], [2, 1], [4, 2]], 19/73456926326784000], [[[1, 20], [2, 1], [5, 1]], 673/20085878292480000], [[[1, 20], [2, 1], [8, 1]], 1/32137405267968000], [[[1, 20], [2, 3], [3, 1]], 323429/385648863215616000], [[[1, 20], [2, 3], [4, 1]], 5153/23732237736345600], [[[1, 20], [2, 3], [6, 1]], 19/27546347372544000], [[[1, 21], [2, 2], [3, 1]], 3581/128549621071872000], [[[1, 21], [2, 2], [4, 1]], 10937/2570992421437440000], [[[1, 21], [2, 2], [6, 1]], 1/192824431607808000], [[[1, 22], [2, 1], [3, 1]], 29/58431645941760000], [[[1, 22], [2, 1], [4, 1]], 29/856997473812480000], [[[2, 5], [4, 4], [10, 3]], 1/9216000], [[[2, 5], [4, 4], [14, 2]], 1/2408448], [[[2, 5], [4, 4], [26, 1]], 1/958464], [[[2, 5], [8, 2], [10, 3]], 1/192000], [[[2, 5], [8, 2], [14, 2]], 1/50176], [[[2, 5], [8, 2], [26, 1]], 1/19968], [[[2, 7], [4, 4], [6, 5]], 1/358318080], [[[2, 7], [4, 4], [22, 1]], 1/16220160], [[[2, 7], [6, 1], [10, 4]], 1/90000], [[[2, 7], [6, 3], [10, 3]], 1/108000], [[[2, 7], [6, 3], [14, 2]], 1/63504], [[[2, 7], [6, 3], [26, 1]], 1/44928], [[[2, 7], [6, 5], [8, 2]], 1/7464960], [[[2, 7], [8, 2], [22, 1]], 1/337920], [[[2, 7], [10, 2], [22, 1]], 1/52800], [[[2, 7], [10, 3], [14, 1]], 1/42000], [[[2, 7], [14, 1], [26, 1]], 1/4368], [[[2, 9], [4, 2], [6, 6]], 1/22394880], [[[2, 9], [4, 2], [10, 3]], 1/18432000], [[[2, 9], [4, 2], [14, 2]], 1/4816896], [[[2, 9], [4, 2], [26, 1]], 1/1916928], [[[2, 9], [4, 4], [6, 4]], 1/573308928], [[[2, 9], [4, 4], [10, 2]], 1/442368000], [[[2, 9], [6, 2], [10, 3]], 1/86400], [[[2, 9], [6, 2], [14, 2]], 19/677376], [[[2, 9], [6, 2], [26, 1]], 7/599040], [[[2, 9], [6, 3], [22, 1]], 1/76032], [[[2, 9], [6, 4], [8, 2]], 1/11943936], [[[2, 9], [6, 4], [10, 2]], 19/3110400], [[[2, 9], [6, 5], [14, 1]], 1/725760], [[[2, 9], [6, 5], [18, 1]], 1/186624], [[[2, 9], [6, 6], [10, 1]], 1/3499200], [[[2, 9], [8, 2], [10, 2]], 1/9216000], [[[2, 9], [10, 1], [14, 2]], 1/37632], [[[2, 9], [10, 1], [26, 1]], 1/74880], [[[2, 9], [14, 1], [22, 1]], 1/73920], [[[2, 11], [4, 2], [6, 5]], 7/238878720], [[[2, 11], [4, 2], [22, 1]], 1/32440320], [[[2, 11], [4, 4], [6, 3]], 1/10032906240], [[[2, 11], [4, 4], [14, 1]], 1/31213486080], [[[2, 11], [6, 1], [10, 3]], 49/34560000], [[[2, 11], [6, 1], [14, 2]], 1/774144], [[[2, 11], [6, 1], [26, 1]], 5/17891328], [[[2, 11], [6, 2], [22, 1]], 1/1013760], [[[2, 11], [6, 3], [8, 2]], 1/209018880], [[[2, 11], [6, 3], [10, 2]], 299/124416000], [[[2, 11], [6, 4], [14, 1]], 1/645120], [[[2, 11], [6, 4], [18, 1]], 11/7464960], [[[2, 11], [6, 5], [10, 1]], 7/9331200], [[[2, 11], [8, 2], [14, 1]], 1/650280960], [[[2, 11], [10, 1], [22, 1]], 299/378470400], [[[2, 11], [10, 2], [14, 1]], 1/576000], [[[2, 13], [4, 2], [6, 4]], 11/4459069440], [[[2, 13], [4, 2], [10, 2]], 1/884736000], [[[2, 13], [4, 4], [6, 2]], 1/802632499200], [[[2, 13], [4, 4], [10, 1]], 1/2452488192000], [[[2, 13], [6, 1], [22, 1]], 13/756940800], [[[2, 13], [6, 2], [8, 2]], 1/16721510400], [[[2, 13], [6, 2], [10, 2]], 589/3715891200], [[[2, 13], [6, 3], [14, 1]], 281/2601123840], [[[2, 13], [6, 3], [18, 1]], 59/1114767360], [[[2, 13], [6, 4], [10, 1]], 11/87091200], [[[2, 13], [8, 2], [10, 1]], 1/51093504000], [[[2, 15], [4, 2], [6, 3]], 1/14332723200], [[[2, 15], [4, 2], [14, 1]], 1/62426972160], [[[2, 15], [4, 4], [6, 1]], 1/229552894771200], [[[2, 15], [6, 1], [8, 2]], 1/4782351974400], [[[2, 15], [6, 1], [10, 2]], 7421/3065610240000], [[[2, 15], [6, 2], [14, 1]], 11/5202247680], [[[2, 15], [6, 2], [18, 1]], 37/66886041600], [[[2, 15], [6, 3], [10, 1]], 2447/501645312000], [[[2, 15], [10, 1], [14, 1]], 4783/8583708672000], [[[2, 17], [4, 2], [6, 2]], 53/76517631590400], [[[2, 17], [4, 2], [10, 1]], 1/4904976384000], [[[2, 17], [4, 2], [12, 1]], 1/2008587829248000], [[[2, 17], [6, 1], [14, 1]], 1/78721843200], [[[2, 17], [6, 1], [18, 1]], 1/936404582400], [[[2, 17], [6, 2], [10, 1]], 167/2732772556800], [[[2, 19], [4, 1], [8, 1]], 1/10712468422656000], [[[2, 19], [4, 2], [6, 1]], 1/446352850944000], [[[2, 19], [6, 1], [10, 1]], 9/36736860160000], [[[1, 1], [2, 4], [4, 4], [10, 3]], 1/9216000], [[[1, 1], [2, 4], [4, 4], [14, 2]], 1/1204224], [[[1, 1], [2, 4], [4, 4], [26, 1]], 1/239616], [[[1, 1], [2, 4], [4, 5], [22, 1]], 1/540672], [[[1, 1], [2, 4], [8, 2], [10, 3]], 1/192000], [[[1, 1], [2, 4], [8, 2], [14, 2]], 1/25088], [[[1, 1], [2, 4], [8, 2], [26, 1]], 1/4992], [[[1, 1], [2, 6], [4, 1], [10, 4]], 1/120000], [[[1, 1], [2, 6], [4, 3], [10, 3]], 7/2304000], [[[1, 1], [2, 6], [4, 3], [14, 2]], 1/86016], [[[1, 1], [2, 6], [4, 3], [26, 1]], 7/239616], [[[1, 1], [2, 6], [4, 4], [6, 5]], 1/358318080], [[[1, 1], [2, 6], [4, 4], [22, 1]], 1/1474560], [[[1, 1], [2, 6], [4, 5], [6, 4]], 1/95551488], [[[1, 1], [2, 6], [4, 5], [10, 2]], 1/4915200], [[[1, 1], [2, 6], [6, 1], [10, 4]], 1/90000], [[[1, 1], [2, 6], [6, 3], [10, 3]], 1/108000], [[[1, 1], [2, 6], [6, 3], [14, 2]], 1/63504], [[[1, 1], [2, 6], [6, 3], [26, 1]], 1/14976], [[[1, 1], [2, 6], [6, 5], [8, 2]], 1/7464960], [[[1, 1], [2, 6], [7, 1], [14, 2]], 1/1568], [[[1, 1], [2, 6], [8, 2], [22, 1]], 1/30720], [[[1, 1], [2, 6], [10, 2], [22, 1]], 7/52800], [[[1, 1], [2, 6], [10, 3], [14, 1]], 1/42000], [[[1, 1], [2, 6], [14, 1], [26, 1]], 1/1092], [[[1, 1], [2, 8], [4, 2], [6, 6]], 1/22394880], [[[1, 1], [2, 8], [4, 2], [10, 3]], 13/18432000], [[[1, 1], [2, 8], [4, 2], [14, 2]], 1/344064], [[[1, 1], [2, 8], [4, 2], [26, 1]], 1/119808], [[[1, 1], [2, 8], [4, 3], [6, 5]], 11/44789760], [[[1, 1], [2, 8], [4, 3], [22, 1]], 43/16220160], [[[1, 1], [2, 8], [4, 4], [6, 4]], 7/573308928], [[[1, 1], [2, 8], [4, 4], [10, 2]], 1/27648000], [[[1, 1], [2, 8], [4, 5], [6, 3]], 1/47775744], [[[1, 1], [2, 8], [4, 5], [14, 1]], 1/41287680], [[[1, 1], [2, 8], [5, 1], [10, 3]], 1/48000], [[[1, 1], [2, 8], [6, 2], [10, 3]], 7/144000], [[[1, 1], [2, 8], [6, 2], [14, 2]], 19/169344], [[[1, 1], [2, 8], [6, 2], [26, 1]], 47/599040], [[[1, 1], [2, 8], [6, 3], [22, 1]], 1/19008], [[[1, 1], [2, 8], [6, 4], [8, 2]], 7/11943936], [[[1, 1], [2, 8], [6, 4], [10, 2]], 41/3110400], [[[1, 1], [2, 8], [6, 5], [14, 1]], 19/6531840], [[[1, 1], [2, 8], [6, 5], [18, 1]], 1/62208], [[[1, 1], [2, 8], [6, 6], [8, 1]], 1/5598720], [[[1, 1], [2, 8], [6, 6], [10, 1]], 1/3499200], [[[1, 1], [2, 8], [8, 1], [10, 3]], 1/1152000], [[[1, 1], [2, 8], [8, 1], [14, 2]], 1/301056], [[[1, 1], [2, 8], [8, 1], [26, 1]], 1/119808], [[[1, 1], [2, 8], [8, 2], [10, 2]], 1/576000], [[[1, 1], [2, 8], [10, 1], [14, 2]], 3/15680], [[[1, 1], [2, 8], [10, 1], [26, 1]], 1/7488], [[[1, 1], [2, 8], [14, 1], [22, 1]], 1/6720], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/933120], [[[1, 1], [2, 10], [4, 1], [6, 6]], 1/2985984], [[[1, 1], [2, 10], [4, 1], [8, 3]], 1/82575360], [[[1, 1], [2, 10], [4, 1], [10, 3]], 139/46080000], [[[1, 1], [2, 10], [4, 1], [14, 2]], 5/802816], [[[1, 1], [2, 10], [4, 1], [26, 1]], 11/4792320], [[[1, 1], [2, 10], [4, 2], [6, 5]], 17/79626240], [[[1, 1], [2, 10], [4, 2], [22, 1]], 23/32440320], [[[1, 1], [2, 10], [4, 3], [6, 4]], 223/573308928], [[[1, 1], [2, 10], [4, 3], [10, 2]], 73/442368000], [[[1, 1], [2, 10], [4, 4], [6, 3]], 11/5016453120], [[[1, 1], [2, 10], [4, 4], [14, 1]], 37/31213486080], [[[1, 1], [2, 10], [4, 5], [6, 2]], 1/637009920], [[[1, 1], [2, 10], [4, 5], [8, 1]], 1/3963617280], [[[1, 1], [2, 10], [4, 5], [10, 1]], 1/1238630400], [[[1, 1], [2, 10], [6, 1], [10, 3]], 61/3840000], [[[1, 1], [2, 10], [6, 1], [14, 2]], 289/13547520], [[[1, 1], [2, 10], [6, 1], [26, 1]], 1811/268369920], [[[1, 1], [2, 10], [6, 2], [22, 1]], 1/63360], [[[1, 1], [2, 10], [6, 3], [8, 2]], 11/104509440], [[[1, 1], [2, 10], [6, 3], [10, 2]], 2479/124416000], [[[1, 1], [2, 10], [6, 4], [14, 1]], 521/52254720], [[[1, 1], [2, 10], [6, 4], [18, 1]], 37/2488320], [[[1, 1], [2, 10], [6, 5], [8, 1]], 1/7464960], [[[1, 1], [2, 10], [6, 5], [10, 1]], 17/4665600], [[[1, 1], [2, 10], [8, 1], [22, 1]], 1/2027520], [[[1, 1], [2, 10], [8, 2], [14, 1]], 37/650280960], [[[1, 1], [2, 10], [10, 1], [22, 1]], 15289/1135411200], [[[1, 1], [2, 10], [10, 2], [14, 1]], 97/4032000], [[[1, 1], [2, 12], [3, 1], [6, 5]], 7/14929920], [[[1, 1], [2, 12], [4, 1], [6, 5]], 37/99532800], [[[1, 1], [2, 12], [4, 1], [22, 1]], 69/504627200], [[[1, 1], [2, 12], [4, 2], [6, 4]], 691/13377208320], [[[1, 1], [2, 12], [4, 2], [8, 2]], 1/165150720], [[[1, 1], [2, 12], [4, 2], [10, 2]], 7/221184000], [[[1, 1], [2, 12], [4, 3], [6, 3]], 11/286654464], [[[1, 1], [2, 12], [4, 3], [14, 1]], 29/2229534720], [[[1, 1], [2, 12], [4, 4], [6, 2]], 23/401316249600], [[[1, 1], [2, 12], [4, 4], [10, 1]], 1/43794432000], [[[1, 1], [2, 12], [4, 5], [6, 1]], 1/53508833280], [[[1, 1], [2, 12], [5, 1], [10, 2]], 451/3096576000], [[[1, 1], [2, 12], [6, 1], [22, 1]], 19/34406400], [[[1, 1], [2, 12], [6, 2], [8, 2]], 23/8360755200], [[[1, 1], [2, 12], [6, 2], [10, 2]], 56761/18579456000], [[[1, 1], [2, 12], [6, 3], [14, 1]], 51641/23410114560], [[[1, 1], [2, 12], [6, 3], [18, 1]], 19/13762560], [[[1, 1], [2, 12], [6, 4], [8, 1]], 17/836075520], [[[1, 1], [2, 12], [6, 4], [10, 1]], 323/174182400], [[[1, 1], [2, 12], [7, 1], [14, 1]], 1/578027520], [[[1, 1], [2, 12], [8, 1], [10, 2]], 1/55296000], [[[1, 1], [2, 12], [8, 2], [10, 1]], 1/912384000], [[[1, 1], [2, 14], [3, 1], [6, 4]], 163/6688604160], [[[1, 1], [2, 14], [4, 1], [6, 4]], 29/849346560], [[[1, 1], [2, 14], [4, 1], [8, 2]], 1/490497638400], [[[1, 1], [2, 14], [4, 1], [10, 2]], 63191/4087480320000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 131/50164531200], [[[1, 1], [2, 14], [4, 2], [14, 1]], 1/1274019840], [[[1, 1], [2, 14], [4, 3], [6, 2]], 449/401316249600], [[[1, 1], [2, 14], [4, 3], [8, 1]], 1/7927234560], [[[1, 1], [2, 14], [4, 3], [10, 1]], 509/1226244096000], [[[1, 1], [2, 14], [4, 3], [12, 1]], 1/183936614400], [[[1, 1], [2, 14], [4, 4], [6, 1]], 79/229552894771200], [[[1, 1], [2, 14], [6, 1], [8, 2]], 79/4782351974400], [[[1, 1], [2, 14], [6, 1], [10, 2]], 67099/766402560000], [[[1, 1], [2, 14], [6, 2], [14, 1]], 953/11705057280], [[[1, 1], [2, 14], [6, 2], [18, 1]], 79/3185049600], [[[1, 1], [2, 14], [6, 3], [8, 1]], 11/12541132800], [[[1, 1], [2, 14], [6, 3], [10, 1]], 37651/250822656000], [[[1, 1], [2, 14], [8, 1], [14, 1]], 1/3901685760], [[[1, 1], [2, 14], [10, 1], [14, 1]], 225553/8583708672000], [[[1, 1], [2, 16], [3, 1], [6, 3]], 101/267544166400], [[[1, 1], [2, 16], [4, 1], [6, 3]], 127/133772083200], [[[1, 1], [2, 16], [4, 1], [14, 1]], 647/6866966937600], [[[1, 1], [2, 16], [4, 2], [6, 2]], 59/1416993177600], [[[1, 1], [2, 16], [4, 2], [8, 1]], 1/980995276800], [[[1, 1], [2, 16], [4, 2], [10, 1]], 17/1226244096000], [[[1, 1], [2, 16], [4, 2], [12, 1]], 11/182598893568000], [[[1, 1], [2, 16], [4, 3], [6, 1]], 2329/229552894771200], [[[1, 1], [2, 16], [5, 1], [10, 1]], 1/148635648000], [[[1, 1], [2, 16], [6, 1], [14, 1]], 3319/4184557977600], [[[1, 1], [2, 16], [6, 1], [18, 1]], 13/156067430400], [[[1, 1], [2, 16], [6, 2], [8, 1]], 7/683193139200], [[[1, 1], [2, 16], [6, 2], [10, 1]], 303727/95647039488000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 1/306561024000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 2423/1339058552832000], [[[1, 1], [2, 18], [3, 1], [8, 1]], 1/4017175658496000], [[[1, 1], [2, 18], [4, 1], [5, 1]], 1/3347646382080000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 2413/255058771968000], [[[1, 1], [2, 18], [4, 1], [8, 1]], 6991/42849873690624000], [[[1, 1], [2, 18], [4, 1], [10, 1]], 953/495947612160000], [[[1, 1], [2, 18], [4, 1], [12, 1]], 1/2008587829248000], [[[1, 1], [2, 18], [4, 2], [6, 1]], 551/2678117105664000], [[[1, 1], [2, 18], [6, 1], [8, 1]], 47/1339058552832000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 16117/811550638080000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 1/48206107901952000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 53/21424936845312000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 1/30916214784000], [[[1, 2], [2, 3], [4, 2], [8, 4]], 1/16384], [[[1, 2], [2, 3], [4, 4], [14, 2]], 1/2408448], [[[1, 2], [2, 3], [4, 4], [26, 1]], 1/319488], [[[1, 2], [2, 3], [4, 5], [22, 1]], 1/540672], [[[1, 2], [2, 3], [4, 6], [8, 2]], 1/786432], [[[1, 2], [2, 3], [8, 2], [14, 2]], 1/50176], [[[1, 2], [2, 3], [8, 2], [26, 1]], 1/6656], [[[1, 2], [2, 5], [4, 1], [10, 4]], 1/120000], [[[1, 2], [2, 5], [4, 3], [8, 3]], 1/32768], [[[1, 2], [2, 5], [4, 3], [10, 3]], 7/2304000], [[[1, 2], [2, 5], [4, 3], [14, 2]], 1/43008], [[[1, 2], [2, 5], [4, 3], [26, 1]], 7/59904], [[[1, 2], [2, 5], [4, 4], [22, 1]], 173/3244032], [[[1, 2], [2, 5], [4, 5], [6, 4]], 1/95551488], [[[1, 2], [2, 5], [4, 5], [10, 2]], 1/2457600], [[[1, 2], [2, 5], [4, 6], [14, 1]], 1/2752512], [[[1, 2], [2, 5], [6, 3], [26, 1]], 1/14976], [[[1, 2], [2, 5], [7, 1], [10, 3]], 1/42000], [[[1, 2], [2, 5], [7, 1], [14, 2]], 11/5488], [[[1, 2], [2, 5], [7, 1], [26, 1]], 1/4368], [[[1, 2], [2, 5], [8, 2], [22, 1]], 5/67584], [[[1, 2], [2, 5], [10, 2], [22, 1]], 3/17600], [[[1, 2], [2, 5], [14, 1], [26, 1]], 1/1456], [[[1, 2], [2, 7], [3, 2], [10, 3]], 1/864000], [[[1, 2], [2, 7], [3, 2], [14, 2]], 1/225792], [[[1, 2], [2, 7], [3, 2], [26, 1]], 1/89856], [[[1, 2], [2, 7], [4, 2], [8, 3]], 1/196608], [[[1, 2], [2, 7], [4, 2], [10, 3]], 17/614400], [[[1, 2], [2, 7], [4, 2], [14, 2]], 619/4816896], [[[1, 2], [2, 7], [4, 2], [26, 1]], 29/212992], [[[1, 2], [2, 7], [4, 3], [6, 5]], 11/44789760], [[[1, 2], [2, 7], [4, 3], [22, 1]], 503/16220160], [[[1, 2], [2, 7], [4, 4], [6, 4]], 59/191102976], [[[1, 2], [2, 7], [4, 4], [8, 2]], 1/1572864], [[[1, 2], [2, 7], [4, 4], [10, 2]], 43/7372800], [[[1, 2], [2, 7], [4, 5], [6, 3]], 1/11943936], [[[1, 2], [2, 7], [4, 5], [14, 1]], 11/41287680], [[[1, 2], [2, 7], [4, 6], [6, 2]], 1/14155776], [[[1, 2], [2, 7], [4, 6], [8, 1]], 1/9437184], [[[1, 2], [2, 7], [4, 6], [10, 1]], 1/11796480], [[[1, 2], [2, 7], [5, 1], [10, 3]], 3/20000], [[[1, 2], [2, 7], [5, 1], [14, 2]], 1/62720], [[[1, 2], [2, 7], [5, 1], [26, 1]], 1/24960], [[[1, 2], [2, 7], [6, 2], [10, 3]], 1/24000], [[[1, 2], [2, 7], [6, 2], [14, 2]], 11/112896], [[[1, 2], [2, 7], [6, 2], [26, 1]], 11/59904], [[[1, 2], [2, 7], [6, 3], [22, 1]], 1/12672], [[[1, 2], [2, 7], [6, 4], [8, 2]], 1/1327104], [[[1, 2], [2, 7], [6, 4], [10, 2]], 1/124416], [[[1, 2], [2, 7], [6, 5], [7, 1]], 1/1632960], [[[1, 2], [2, 7], [6, 5], [14, 1]], 1/435456], [[[1, 2], [2, 7], [6, 5], [18, 1]], 1/62208], [[[1, 2], [2, 7], [6, 6], [8, 1]], 1/5598720], [[[1, 2], [2, 7], [7, 1], [22, 1]], 1/73920], [[[1, 2], [2, 7], [8, 1], [10, 3]], 7/1152000], [[[1, 2], [2, 7], [8, 1], [14, 2]], 1/37632], [[[1, 2], [2, 7], [8, 1], [26, 1]], 5/59904], [[[1, 2], [2, 7], [8, 2], [10, 2]], 1/153600], [[[1, 2], [2, 7], [10, 1], [14, 2]], 13/47040], [[[1, 2], [2, 7], [10, 1], [26, 1]], 1/2496], [[[1, 2], [2, 7], [14, 1], [22, 1]], 5/14784], [[[1, 2], [2, 9], [3, 1], [6, 6]], 7/2099520], [[[1, 2], [2, 9], [3, 1], [10, 3]], 1/6912000], [[[1, 2], [2, 9], [3, 1], [13, 1]], 1/805109760], [[[1, 2], [2, 9], [3, 1], [14, 2]], 1/1806336], [[[1, 2], [2, 9], [3, 1], [26, 1]], 1/718848], [[[1, 2], [2, 9], [3, 2], [6, 5]], 79/8398080], [[[1, 2], [2, 9], [3, 2], [22, 1]], 1/1520640], [[[1, 2], [2, 9], [4, 1], [6, 6]], 29/44789760], [[[1, 2], [2, 9], [4, 1], [8, 3]], 29/82575360], [[[1, 2], [2, 9], [4, 1], [10, 3]], 413/15360000], [[[1, 2], [2, 9], [4, 1], [14, 2]], 433/6021120], [[[1, 2], [2, 9], [4, 1], [26, 1]], 23/599040], [[[1, 2], [2, 9], [4, 2], [6, 5]], 167/119439360], [[[1, 2], [2, 9], [4, 2], [22, 1]], 499/32440320], [[[1, 2], [2, 9], [4, 3], [6, 4]], 1003/573308928], [[[1, 2], [2, 9], [4, 3], [8, 2]], 1/393216], [[[1, 2], [2, 9], [4, 3], [10, 2]], 539/221184000], [[[1, 2], [2, 9], [4, 4], [6, 3]], 413/238878720], [[[1, 2], [2, 9], [4, 4], [14, 1]], 757/867041280], [[[1, 2], [2, 9], [4, 5], [6, 2]], 1/39813120], [[[1, 2], [2, 9], [4, 5], [8, 1]], 29/3963617280], [[[1, 2], [2, 9], [4, 5], [10, 1]], 11/619315200], [[[1, 2], [2, 9], [4, 6], [6, 1]], 1/141557760], [[[1, 2], [2, 9], [5, 1], [6, 5]], 1/9331200], [[[1, 2], [2, 9], [5, 1], [11, 1]], 1/1135411200], [[[1, 2], [2, 9], [5, 1], [22, 1]], 1/422400], [[[1, 2], [2, 9], [6, 1], [10, 3]], 59/1152000], [[[1, 2], [2, 9], [6, 1], [14, 2]], 751/9031680], [[[1, 2], [2, 9], [6, 1], [26, 1]], 419/9584640], [[[1, 2], [2, 9], [6, 2], [22, 1]], 23/337920], [[[1, 2], [2, 9], [6, 3], [8, 2]], 1/1658880], [[[1, 2], [2, 9], [6, 3], [10, 2]], 539/12441600], [[[1, 2], [2, 9], [6, 4], [7, 1]], 1/2612736], [[[1, 2], [2, 9], [6, 4], [14, 1]], 11/580608], [[[1, 2], [2, 9], [6, 4], [18, 1]], 11/248832], [[[1, 2], [2, 9], [6, 5], [8, 1]], 7/7464960], [[[1, 2], [2, 9], [6, 5], [10, 1]], 1/194400], [[[1, 2], [2, 9], [7, 1], [10, 2]], 1/2016000], [[[1, 2], [2, 9], [8, 1], [22, 1]], 17/2027520], [[[1, 2], [2, 9], [8, 2], [14, 1]], 23/36126720], [[[1, 2], [2, 9], [10, 1], [22, 1]], 3041/40550400], [[[1, 2], [2, 9], [10, 2], [14, 1]], 13/134400], [[[1, 2], [2, 11], [3, 1], [6, 5]], 409/89579520], [[[1, 2], [2, 11], [3, 1], [22, 1]], 1/12165120], [[[1, 2], [2, 11], [3, 2], [6, 4]], 707/268738560], [[[1, 2], [2, 11], [3, 2], [10, 2]], 1/41472000], [[[1, 2], [2, 11], [4, 1], [6, 5]], 751/298598400], [[[1, 2], [2, 11], [4, 1], [22, 1]], 4967/1513881600], [[[1, 2], [2, 11], [4, 2], [6, 4]], 5573/1911029760], [[[1, 2], [2, 11], [4, 2], [8, 2]], 127/440401920], [[[1, 2], [2, 11], [4, 2], [10, 2]], 437/206438400], [[[1, 2], [2, 11], [4, 3], [6, 3]], 113/179159040], [[[1, 2], [2, 11], [4, 3], [14, 1]], 139/445906944], [[[1, 2], [2, 11], [4, 4], [6, 2]], 689/3567255552], [[[1, 2], [2, 11], [4, 4], [8, 1]], 17/283115520], [[[1, 2], [2, 11], [4, 4], [10, 1]], 2917/44590694400], [[[1, 2], [2, 11], [4, 4], [12, 1]], 1/123863040], [[[1, 2], [2, 11], [4, 5], [6, 1]], 37/53508833280], [[[1, 2], [2, 11], [5, 1], [6, 4]], 1/14929920], [[[1, 2], [2, 11], [5, 1], [10, 2]], 51479/15482880000], [[[1, 2], [2, 11], [6, 1], [22, 1]], 893/151388160], [[[1, 2], [2, 11], [6, 2], [8, 2]], 1/24772608], [[[1, 2], [2, 11], [6, 2], [10, 2]], 12161/663552000], [[[1, 2], [2, 11], [6, 3], [7, 1]], 1/45722880], [[[1, 2], [2, 11], [6, 3], [14, 1]], 3491/278691840], [[[1, 2], [2, 11], [6, 3], [18, 1]], 337/30965760], [[[1, 2], [2, 11], [6, 4], [8, 1]], 269/836075520], [[[1, 2], [2, 11], [6, 4], [10, 1]], 13/1658880], [[[1, 2], [2, 11], [7, 1], [14, 1]], 3973/36415733760], [[[1, 2], [2, 11], [8, 1], [10, 2]], 11/27648000], [[[1, 2], [2, 11], [8, 2], [10, 1]], 19/928972800], [[[1, 2], [2, 13], [3, 1], [6, 4]], 827/1337720832], [[[1, 2], [2, 13], [3, 1], [10, 2]], 1/331776000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 8579/120394874880], [[[1, 2], [2, 13], [3, 2], [14, 1]], 1/2926264320], [[[1, 2], [2, 13], [4, 1], [6, 4]], 36923/53508833280], [[[1, 2], [2, 13], [4, 1], [8, 2]], 151/70071091200], [[[1, 2], [2, 13], [4, 1], [10, 2]], 901283/2043740160000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 517/1672151040], [[[1, 2], [2, 13], [4, 2], [14, 1]], 17573/208089907200], [[[1, 2], [2, 13], [4, 3], [6, 2]], 869/25082265600], [[[1, 2], [2, 13], [4, 3], [8, 1]], 53/7927234560], [[[1, 2], [2, 13], [4, 3], [10, 1]], 8807/613122048000], [[[1, 2], [2, 13], [4, 3], [12, 1]], 67/183936614400], [[[1, 2], [2, 13], [4, 4], [6, 1]], 29867/5885971660800], [[[1, 2], [2, 13], [5, 1], [6, 3]], 1/261273600], [[[1, 2], [2, 13], [5, 1], [14, 1]], 1/812851200], [[[1, 2], [2, 13], [6, 1], [8, 2]], 19/40874803200], [[[1, 2], [2, 13], [6, 1], [10, 2]], 60677/55738368000], [[[1, 2], [2, 13], [6, 2], [7, 1]], 1/3657830400], [[[1, 2], [2, 13], [6, 2], [14, 1]], 16663/15606743040], [[[1, 2], [2, 13], [6, 2], [18, 1]], 8899/22295347200], [[[1, 2], [2, 13], [6, 3], [8, 1]], 163/6270566400], [[[1, 2], [2, 13], [6, 3], [10, 1]], 2401/1592524800], [[[1, 2], [2, 13], [7, 1], [10, 1]], 1/11176704000], [[[1, 2], [2, 13], [8, 1], [14, 1]], 43/3901685760], [[[1, 2], [2, 13], [10, 1], [14, 1]], 22303/52022476800], [[[1, 2], [2, 15], [3, 1], [6, 3]], 41299/2407897497600], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/23410114560], [[[1, 2], [2, 15], [3, 2], [6, 2]], 193/687970713600], [[[1, 2], [2, 15], [3, 2], [10, 1]], 1/229920768000], [[[1, 2], [2, 15], [4, 1], [6, 3]], 719/20065812480], [[[1, 2], [2, 15], [4, 1], [14, 1]], 11663/2288988979200], [[[1, 2], [2, 15], [4, 2], [5, 1]], 1/306561024000], [[[1, 2], [2, 15], [4, 2], [6, 2]], 101209/11771943321600], [[[1, 2], [2, 15], [4, 2], [8, 1]], 5531/7847962214400], [[[1, 2], [2, 15], [4, 2], [10, 1]], 1189/392398110720], [[[1, 2], [2, 15], [4, 2], [12, 1]], 1/121732595712], [[[1, 2], [2, 15], [4, 3], [6, 1]], 117769/229552894771200], [[[1, 2], [2, 15], [5, 1], [6, 2]], 1/20901888000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 73/145981440000], [[[1, 2], [2, 15], [6, 1], [7, 1]], 1/1046139494400], [[[1, 2], [2, 15], [6, 1], [14, 1]], 659/35765452800], [[[1, 2], [2, 15], [6, 1], [18, 1]], 53/22295347200], [[[1, 2], [2, 15], [6, 2], [8, 1]], 323/597793996800], [[[1, 2], [2, 15], [6, 2], [10, 1]], 1907/31850496000], [[[1, 2], [2, 15], [8, 1], [10, 1]], 31/153280512000], [[[1, 2], [2, 17], [3, 1], [4, 2]], 331/1460791148544000], [[[1, 2], [2, 17], [3, 1], [5, 1]], 1/2510734786560000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 264857/2008587829248000], [[[1, 2], [2, 17], [3, 1], [8, 1]], 11/365197787136000], [[[1, 2], [2, 17], [3, 1], [10, 1]], 1/1839366144000], [[[1, 2], [2, 17], [3, 2], [6, 1]], 1/21520583884800], [[[1, 2], [2, 17], [4, 1], [5, 1]], 11/304331489280000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 27319/47823519744000], [[[1, 2], [2, 17], [4, 1], [8, 1]], 84653/6121410527232000], [[[1, 2], [2, 17], [4, 1], [10, 1]], 309901/2231764254720000], [[[1, 2], [2, 17], [4, 1], [12, 1]], 11/182598893568000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 31387/428498736906240], [[[1, 2], [2, 17], [5, 1], [6, 1]], 1/5977939968000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 4007/1339058552832000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 60947/99189522432000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 127/48206107901952000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 941/3570822807552000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 62921/21424936845312000], [[[1, 3], [2, 2], [4, 2], [8, 4]], 1/16384], [[[1, 3], [2, 2], [4, 4], [7, 2]], 1/2408448], [[[1, 3], [2, 2], [4, 4], [13, 1]], 1/319488], [[[1, 3], [2, 2], [4, 5], [11, 1]], 1/540672], [[[1, 3], [2, 2], [4, 6], [8, 2]], 1/786432], [[[1, 3], [2, 2], [7, 2], [8, 2]], 1/50176], [[[1, 3], [2, 2], [8, 2], [13, 1]], 1/6656], [[[1, 3], [2, 4], [4, 3], [8, 3]], 5/8192], [[[1, 3], [2, 4], [4, 3], [14, 2]], 1/86016], [[[1, 3], [2, 4], [4, 3], [26, 1]], 7/79872], [[[1, 3], [2, 4], [4, 4], [22, 1]], 19/360448], [[[1, 3], [2, 4], [4, 5], [8, 2]], 7/196608], [[[1, 3], [2, 4], [4, 5], [10, 2]], 1/4915200], [[[1, 3], [2, 4], [4, 6], [14, 1]], 1/2752512], [[[1, 3], [2, 4], [4, 7], [8, 1]], 1/1572864], [[[1, 3], [2, 4], [6, 3], [26, 1]], 1/44928], [[[1, 3], [2, 4], [7, 1], [10, 3]], 1/42000], [[[1, 3], [2, 4], [7, 1], [14, 2]], 23/10976], [[[1, 3], [2, 4], [7, 1], [26, 1]], 1/1092], [[[1, 3], [2, 4], [7, 2], [14, 1]], 1/1372], [[[1, 3], [2, 4], [8, 2], [22, 1]], 1/22528], [[[1, 3], [2, 4], [10, 2], [22, 1]], 1/17600], [[[1, 3], [2, 4], [13, 1], [14, 1]], 1/1456], [[[1, 3], [2, 6], [3, 2], [10, 3]], 1/288000], [[[1, 3], [2, 6], [3, 2], [14, 2]], 1/56448], [[[1, 3], [2, 6], [3, 2], [26, 1]], 1/14976], [[[1, 3], [2, 6], [4, 2], [7, 2]], 1/4816896], [[[1, 3], [2, 6], [4, 2], [8, 3]], 3/65536], [[[1, 3], [2, 6], [4, 2], [10, 3]], 133/3072000], [[[1, 3], [2, 6], [4, 2], [13, 1]], 1/638976], [[[1, 3], [2, 6], [4, 2], [14, 2]], 69/401408], [[[1, 3], [2, 6], [4, 2], [26, 1]], 37/79872], [[[1, 3], [2, 6], [4, 3], [11, 1]], 1/1081344], [[[1, 3], [2, 6], [4, 3], [22, 1]], 403/1622016], [[[1, 3], [2, 6], [4, 4], [6, 4]], 19/63700992], [[[1, 3], [2, 6], [4, 4], [8, 2]], 37/1572864], [[[1, 3], [2, 6], [4, 4], [10, 2]], 17/1474560], [[[1, 3], [2, 6], [4, 5], [6, 3]], 1/15925248], [[[1, 3], [2, 6], [4, 5], [14, 1]], 89/8257536], [[[1, 3], [2, 6], [4, 6], [6, 2]], 1/7077888], [[[1, 3], [2, 6], [4, 6], [8, 1]], 7/9437184], [[[1, 3], [2, 6], [4, 6], [10, 1]], 1/2949120], [[[1, 3], [2, 6], [4, 7], [6, 1]], 1/14155776], [[[1, 3], [2, 6], [5, 1], [10, 3]], 1/5000], [[[1, 3], [2, 6], [5, 1], [14, 2]], 1/15680], [[[1, 3], [2, 6], [5, 1], [26, 1]], 1/4160], [[[1, 3], [2, 6], [5, 2], [10, 2]], 1/12000], [[[1, 3], [2, 6], [6, 2], [7, 2]], 1/225792], [[[1, 3], [2, 6], [6, 2], [10, 3]], 1/216000], [[[1, 3], [2, 6], [6, 2], [13, 1]], 1/29952], [[[1, 3], [2, 6], [6, 2], [14, 2]], 1/56448], [[[1, 3], [2, 6], [6, 2], [26, 1]], 11/59904], [[[1, 3], [2, 6], [6, 3], [22, 1]], 1/19008], [[[1, 3], [2, 6], [6, 4], [8, 2]], 1/3981312], [[[1, 3], [2, 6], [6, 4], [10, 2]], 1/1036800], [[[1, 3], [2, 6], [6, 5], [7, 1]], 1/1632960], [[[1, 3], [2, 6], [6, 5], [14, 1]], 1/1306368], [[[1, 3], [2, 6], [6, 5], [18, 1]], 1/186624], [[[1, 3], [2, 6], [7, 1], [22, 1]], 1/6720], [[[1, 3], [2, 6], [7, 2], [10, 1]], 1/188160], [[[1, 3], [2, 6], [8, 1], [10, 3]], 7/1152000], [[[1, 3], [2, 6], [8, 1], [14, 2]], 1/21504], [[[1, 3], [2, 6], [8, 1], [26, 1]], 7/29952], [[[1, 3], [2, 6], [8, 2], [10, 2]], 1/153600], [[[1, 3], [2, 6], [10, 1], [13, 1]], 1/24960], [[[1, 3], [2, 6], [10, 1], [14, 2]], 1/7840], [[[1, 3], [2, 6], [10, 1], [26, 1]], 1/2496], [[[1, 3], [2, 6], [14, 1], [22, 1]], 1/4928], [[[1, 3], [2, 8], [3, 1], [6, 6]], 7/2099520], [[[1, 3], [2, 8], [3, 1], [10, 3]], 13/6912000], [[[1, 3], [2, 8], [3, 1], [13, 1]], 19/268369920], [[[1, 3], [2, 8], [3, 1], [14, 2]], 1/129024], [[[1, 3], [2, 8], [3, 1], [26, 1]], 1/44928], [[[1, 3], [2, 8], [3, 2], [6, 5]], 89/2799360], [[[1, 3], [2, 8], [3, 2], [22, 1]], 13/1520640], [[[1, 3], [2, 8], [3, 3], [6, 4]], 7/279936], [[[1, 3], [2, 8], [4, 1], [6, 6]], 59/134369280], [[[1, 3], [2, 8], [4, 1], [8, 3]], 17/5898240], [[[1, 3], [2, 8], [4, 1], [10, 3]], 167/2764800], [[[1, 3], [2, 8], [4, 1], [14, 2]], 6403/36126720], [[[1, 3], [2, 8], [4, 1], [26, 1]], 193/1105920], [[[1, 3], [2, 8], [4, 2], [6, 5]], 187/119439360], [[[1, 3], [2, 8], [4, 2], [22, 1]], 1483/10813440], [[[1, 3], [2, 8], [4, 3], [6, 4]], 83/31850496], [[[1, 3], [2, 8], [4, 3], [8, 2]], 197/2949120], [[[1, 3], [2, 8], [4, 3], [10, 2]], 1009/29491200], [[[1, 3], [2, 8], [4, 4], [6, 3]], 221/47775744], [[[1, 3], [2, 8], [4, 4], [14, 1]], 1223/123863040], [[[1, 3], [2, 8], [4, 5], [6, 2]], 17/5308416], [[[1, 3], [2, 8], [4, 5], [8, 1]], 947/283115520], [[[1, 3], [2, 8], [4, 5], [10, 1]], 73/29491200], [[[1, 3], [2, 8], [4, 5], [12, 1]], 1/884736], [[[1, 3], [2, 8], [4, 6], [6, 1]], 11/141557760], [[[1, 3], [2, 8], [5, 1], [6, 5]], 1/3110400], [[[1, 3], [2, 8], [5, 1], [11, 1]], 19/378470400], [[[1, 3], [2, 8], [5, 1], [22, 1]], 13/422400], [[[1, 3], [2, 8], [6, 1], [7, 2]], 1/9031680], [[[1, 3], [2, 8], [6, 1], [10, 3]], 181/3456000], [[[1, 3], [2, 8], [6, 1], [13, 1]], 1/1198080], [[[1, 3], [2, 8], [6, 1], [14, 2]], 43/451584], [[[1, 3], [2, 8], [6, 1], [26, 1]], 1127/9584640], [[[1, 3], [2, 8], [6, 2], [22, 1]], 31/253440], [[[1, 3], [2, 8], [6, 3], [8, 2]], 1/995328], [[[1, 3], [2, 8], [6, 3], [10, 2]], 133/4147200], [[[1, 3], [2, 8], [6, 4], [7, 1]], 1/373248], [[[1, 3], [2, 8], [6, 4], [14, 1]], 79/5225472], [[[1, 3], [2, 8], [6, 4], [18, 1]], 41/746496], [[[1, 3], [2, 8], [6, 5], [8, 1]], 13/11197440], [[[1, 3], [2, 8], [6, 5], [10, 1]], 13/4665600], [[[1, 3], [2, 8], [7, 1], [10, 2]], 1/126000], [[[1, 3], [2, 8], [8, 1], [22, 1]], 23/506880], [[[1, 3], [2, 8], [8, 2], [14, 1]], 13/5160960], [[[1, 3], [2, 8], [10, 1], [22, 1]], 6517/40550400], [[[1, 3], [2, 8], [10, 2], [14, 1]], 17/134400], [[[1, 3], [2, 10], [3, 1], [6, 5]], 397/29859840], [[[1, 3], [2, 10], [3, 1], [11, 1]], 1/1362493440], [[[1, 3], [2, 10], [3, 1], [22, 1]], 23/12165120], [[[1, 3], [2, 10], [3, 2], [6, 4]], 2359/89579520], [[[1, 3], [2, 10], [3, 2], [10, 2]], 1/2304000], [[[1, 3], [2, 10], [3, 3], [6, 3]], 5/1492992], [[[1, 3], [2, 10], [4, 1], [6, 5]], 43/8957952], [[[1, 3], [2, 10], [4, 1], [11, 1]], 1/908328960], [[[1, 3], [2, 10], [4, 1], [22, 1]], 2569/97320960], [[[1, 3], [2, 10], [4, 2], [6, 4]], 7913/637009920], [[[1, 3], [2, 10], [4, 2], [8, 2]], 7381/1321205760], [[[1, 3], [2, 10], [4, 2], [10, 2]], 379/16128000], [[[1, 3], [2, 10], [4, 3], [6, 3]], 1751/159252480], [[[1, 3], [2, 10], [4, 3], [14, 1]], 1871/247726080], [[[1, 3], [2, 10], [4, 4], [6, 2]], 779/318504960], [[[1, 3], [2, 10], [4, 4], [8, 1]], 403/283115520], [[[1, 3], [2, 10], [4, 4], [10, 1]], 73/61931520], [[[1, 3], [2, 10], [4, 4], [12, 1]], 29/123863040], [[[1, 3], [2, 10], [4, 5], [6, 1]], 71/185794560], [[[1, 3], [2, 10], [5, 1], [6, 4]], 1/1658880], [[[1, 3], [2, 10], [5, 1], [10, 2]], 4693/184320000], [[[1, 3], [2, 10], [5, 2], [10, 1]], 449/1032192000], [[[1, 3], [2, 10], [6, 1], [22, 1]], 43/1622016], [[[1, 3], [2, 10], [6, 2], [8, 2]], 1/4423680], [[[1, 3], [2, 10], [6, 2], [10, 2]], 9383/221184000], [[[1, 3], [2, 10], [6, 3], [7, 1]], 11/22861440], [[[1, 3], [2, 10], [6, 3], [14, 1]], 23029/836075520], [[[1, 3], [2, 10], [6, 3], [18, 1]], 1969/55738368], [[[1, 3], [2, 10], [6, 4], [8, 1]], 137/89579520], [[[1, 3], [2, 10], [6, 4], [10, 1]], 161/12441600], [[[1, 3], [2, 10], [7, 1], [14, 1]], 74929/36415733760], [[[1, 3], [2, 10], [8, 1], [10, 2]], 157/55296000], [[[1, 3], [2, 10], [8, 2], [10, 1]], 1/6451200], [[[1, 3], [2, 12], [3, 1], [6, 4]], 85/17915904], [[[1, 3], [2, 12], [3, 1], [10, 2]], 7/82944000], [[[1, 3], [2, 12], [3, 2], [6, 3]], 73657/40131624960], [[[1, 3], [2, 12], [3, 2], [14, 1]], 13/975421440], [[[1, 3], [2, 12], [3, 3], [6, 2]], 1/104509440], [[[1, 3], [2, 12], [4, 1], [6, 4]], 22667/5733089280], [[[1, 3], [2, 12], [4, 1], [8, 2]], 1097/14863564800], [[[1, 3], [2, 12], [4, 1], [10, 2]], 4231/990904320], [[[1, 3], [2, 12], [4, 2], [6, 3]], 15437/3344302080], [[[1, 3], [2, 12], [4, 2], [14, 1]], 397133/208089907200], [[[1, 3], [2, 12], [4, 3], [5, 1]], 1/206438400], [[[1, 3], [2, 12], [4, 3], [6, 2]], 1997/1486356480], [[[1, 3], [2, 12], [4, 3], [8, 1]], 3211/7927234560], [[[1, 3], [2, 12], [4, 3], [10, 1]], 3113/5573836800], [[[1, 3], [2, 12], [4, 3], [12, 1]], 23/1393459200], [[[1, 3], [2, 12], [4, 4], [6, 1]], 4637/35672555520], [[[1, 3], [2, 12], [5, 1], [6, 3]], 1/10886400], [[[1, 3], [2, 12], [5, 1], [14, 1]], 13/270950400], [[[1, 3], [2, 12], [6, 1], [8, 2]], 13/2229534720], [[[1, 3], [2, 12], [6, 1], [10, 2]], 859/145152000], [[[1, 3], [2, 12], [6, 2], [7, 1]], 23/1828915200], [[[1, 3], [2, 12], [6, 2], [14, 1]], 3449/585252864], [[[1, 3], [2, 12], [6, 2], [18, 1]], 7699/2675441664], [[[1, 3], [2, 12], [6, 3], [8, 1]], 653/2508226560], [[[1, 3], [2, 12], [6, 3], [10, 1]], 26377/4180377600], [[[1, 3], [2, 12], [7, 1], [10, 1]], 1/199584000], [[[1, 3], [2, 12], [8, 1], [14, 1]], 13/79626240], [[[1, 3], [2, 12], [10, 1], [14, 1]], 159517/52022476800], [[[1, 3], [2, 14], [3, 1], [4, 3]], 31/91968307200], [[[1, 3], [2, 14], [3, 1], [6, 3]], 661393/2407897497600], [[[1, 3], [2, 14], [3, 1], [14, 1]], 1/477757440], [[[1, 3], [2, 14], [3, 2], [6, 2]], 24467/1605264998400], [[[1, 3], [2, 14], [3, 2], [10, 1]], 29/114960384000], [[[1, 3], [2, 14], [3, 3], [6, 1]], 1/25082265600], [[[1, 3], [2, 14], [4, 1], [6, 3]], 22273/48157949952], [[[1, 3], [2, 14], [4, 1], [7, 1]], 1/107296358400], [[[1, 3], [2, 14], [4, 1], [14, 1]], 187543/1872809164800], [[[1, 3], [2, 14], [4, 2], [5, 1]], 67/306561024000], [[[1, 3], [2, 14], [4, 2], [6, 2]], 26989/107017666560], [[[1, 3], [2, 14], [4, 2], [8, 1]], 34139/1121137459200], [[[1, 3], [2, 14], [4, 2], [10, 1]], 244649/2452488192000], [[[1, 3], [2, 14], [4, 2], [12, 1]], 157/367873228800], [[[1, 3], [2, 14], [4, 3], [6, 1]], 134549/3923981107200], [[[1, 3], [2, 14], [5, 1], [6, 2]], 1/435456000], [[[1, 3], [2, 14], [5, 1], [10, 1]], 481/36495360000], [[[1, 3], [2, 14], [6, 1], [7, 1]], 79/1046139494400], [[[1, 3], [2, 14], [6, 1], [14, 1]], 47507/234101145600], [[[1, 3], [2, 14], [6, 1], [18, 1]], 2183/66886041600], [[[1, 3], [2, 14], [6, 2], [8, 1]], 2789/275904921600], [[[1, 3], [2, 14], [6, 2], [10, 1]], 3823643/7357464576000], [[[1, 3], [2, 14], [8, 1], [10, 1]], 691/153280512000], [[[1, 3], [2, 16], [3, 1], [4, 2]], 265841/16068702633984000], [[[1, 3], [2, 16], [3, 1], [5, 1]], 11/228248616960000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 6301/1739037081600], [[[1, 3], [2, 16], [3, 1], [8, 1]], 31/22317642547200], [[[1, 3], [2, 16], [3, 1], [10, 1]], 17/459841536000], [[[1, 3], [2, 16], [3, 2], [4, 1]], 1/2207239372800], [[[1, 3], [2, 16], [3, 2], [6, 1]], 251/28694111846400], [[[1, 3], [2, 16], [4, 1], [5, 1]], 23/6974263296000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 1477109/114776447385600], [[[1, 3], [2, 16], [4, 1], [8, 1]], 9767497/21424936845312000], [[[1, 3], [2, 16], [4, 1], [10, 1]], 90847/24346519142400], [[[1, 3], [2, 16], [4, 1], [12, 1]], 31/11158821273600], [[[1, 3], [2, 16], [4, 2], [6, 1]], 361393/102023508787200], [[[1, 3], [2, 16], [5, 1], [6, 1]], 1/73801728000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 3833/40171756584960], [[[1, 3], [2, 16], [6, 1], [10, 1]], 57077/6072827904000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 431/2295528947712000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 717449/64274810535936000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 3334321/32137405267968000], [[[1, 3], [3, 1], [4, 4], [13, 1]], 1/479232], [[[1, 3], [3, 1], [8, 2], [13, 1]], 1/9984], [[[1, 3], [4, 4], [5, 1], [11, 1]], 1/675840], [[[1, 3], [5, 1], [8, 2], [11, 1]], 1/14080], [[[1, 4], [2, 1], [4, 4], [5, 3]], 1/9216000], [[[1, 4], [2, 1], [4, 4], [7, 2]], 1/1204224], [[[1, 4], [2, 1], [4, 4], [13, 1]], 1/239616], [[[1, 4], [2, 1], [4, 5], [11, 1]], 1/540672], [[[1, 4], [2, 1], [5, 3], [8, 2]], 1/192000], [[[1, 4], [2, 1], [7, 2], [8, 2]], 1/25088], [[[1, 4], [2, 1], [8, 2], [13, 1]], 1/4992], [[[1, 4], [2, 3], [3, 3], [13, 1]], 1/44928], [[[1, 4], [2, 3], [4, 3], [7, 2]], 1/86016], [[[1, 4], [2, 3], [4, 3], [8, 3]], 5/8192], [[[1, 4], [2, 3], [4, 3], [13, 1]], 7/79872], [[[1, 4], [2, 3], [4, 4], [11, 1]], 19/360448], [[[1, 4], [2, 3], [4, 5], [5, 2]], 1/4915200], [[[1, 4], [2, 3], [4, 5], [8, 2]], 7/196608], [[[1, 4], [2, 3], [4, 6], [7, 1]], 1/2752512], [[[1, 4], [2, 3], [4, 7], [8, 1]], 1/1572864], [[[1, 4], [2, 3], [5, 2], [11, 1]], 1/17600], [[[1, 4], [2, 3], [5, 3], [14, 1]], 1/42000], [[[1, 4], [2, 3], [7, 1], [14, 2]], 1/1372], [[[1, 4], [2, 3], [7, 1], [26, 1]], 1/1456], [[[1, 4], [2, 3], [7, 2], [14, 1]], 23/10976], [[[1, 4], [2, 3], [8, 2], [11, 1]], 1/22528], [[[1, 4], [2, 3], [13, 1], [14, 1]], 1/1092], [[[1, 4], [2, 5], [3, 2], [10, 3]], 1/288000], [[[1, 4], [2, 5], [3, 2], [13, 1]], 1/359424], [[[1, 4], [2, 5], [3, 2], [14, 2]], 1/37632], [[[1, 4], [2, 5], [3, 2], [26, 1]], 1/7488], [[[1, 4], [2, 5], [4, 2], [5, 3]], 1/18432000], [[[1, 4], [2, 5], [4, 2], [7, 2]], 1/344064], [[[1, 4], [2, 5], [4, 2], [8, 3]], 13/98304], [[[1, 4], [2, 5], [4, 2], [10, 3]], 301/18432000], [[[1, 4], [2, 5], [4, 2], [13, 1]], 5/239616], [[[1, 4], [2, 5], [4, 2], [14, 2]], 235/4816896], [[[1, 4], [2, 5], [4, 2], [26, 1]], 679/1916928], [[[1, 4], [2, 5], [4, 3], [11, 1]], 13/1081344], [[[1, 4], [2, 5], [4, 3], [22, 1]], 125/540672], [[[1, 4], [2, 5], [4, 4], [8, 2]], 85/196608], [[[1, 4], [2, 5], [4, 4], [10, 2]], 169/29491200], [[[1, 4], [2, 5], [4, 5], [14, 1]], 29/2752512], [[[1, 4], [2, 5], [4, 6], [6, 2]], 1/14155776], [[[1, 4], [2, 5], [4, 6], [8, 1]], 5/262144], [[[1, 4], [2, 5], [4, 6], [10, 1]], 1/3932160], [[[1, 4], [2, 5], [4, 6], [12, 1]], 1/294912], [[[1, 4], [2, 5], [4, 7], [6, 1]], 1/14155776], [[[1, 4], [2, 5], [5, 1], [10, 3]], 13/180000], [[[1, 4], [2, 5], [5, 1], [14, 2]], 1/11760], [[[1, 4], [2, 5], [5, 1], [26, 1]], 17/37440], [[[1, 4], [2, 5], [5, 2], [10, 2]], 1/3000], [[[1, 4], [2, 5], [5, 3], [6, 2]], 1/864000], [[[1, 4], [2, 5], [5, 3], [10, 1]], 1/720000], [[[1, 4], [2, 5], [6, 2], [7, 2]], 1/56448], [[[1, 4], [2, 5], [6, 2], [13, 1]], 5/44928], [[[1, 4], [2, 5], [6, 2], [14, 2]], 1/225792], [[[1, 4], [2, 5], [6, 2], [26, 1]], 25/359424], [[[1, 4], [2, 5], [6, 3], [22, 1]], 1/76032], [[[1, 4], [2, 5], [7, 1], [22, 1]], 5/14784], [[[1, 4], [2, 5], [7, 2], [8, 1]], 1/301056], [[[1, 4], [2, 5], [7, 2], [10, 1]], 1/23520], [[[1, 4], [2, 5], [8, 1], [10, 3]], 1/1152000], [[[1, 4], [2, 5], [8, 1], [13, 1]], 1/39936], [[[1, 4], [2, 5], [8, 1], [14, 2]], 1/37632], [[[1, 4], [2, 5], [8, 1], [26, 1]], 11/59904], [[[1, 4], [2, 5], [8, 2], [10, 2]], 1/614400], [[[1, 4], [2, 5], [10, 1], [13, 1]], 11/37440], [[[1, 4], [2, 5], [10, 1], [14, 2]], 1/62720], [[[1, 4], [2, 5], [10, 1], [26, 1]], 1/8320], [[[1, 4], [2, 5], [11, 1], [14, 1]], 1/4928], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/933120], [[[1, 4], [2, 7], [3, 1], [10, 3]], 13/3456000], [[[1, 4], [2, 7], [3, 1], [13, 1]], 11/9584640], [[[1, 4], [2, 7], [3, 1], [14, 2]], 13/602112], [[[1, 4], [2, 7], [3, 1], [26, 1]], 5/55296], [[[1, 4], [2, 7], [3, 2], [6, 5]], 89/2799360], [[[1, 4], [2, 7], [3, 2], [22, 1]], 1/31680], [[[1, 4], [2, 7], [3, 3], [6, 4]], 71/746496], [[[1, 4], [2, 7], [3, 4], [6, 3]], 1/248832], [[[1, 4], [2, 7], [4, 1], [6, 6]], 17/134369280], [[[1, 4], [2, 7], [4, 1], [7, 2]], 11/12042240], [[[1, 4], [2, 7], [4, 1], [8, 3]], 1/131072], [[[1, 4], [2, 7], [4, 1], [10, 3]], 691/13824000], [[[1, 4], [2, 7], [4, 1], [13, 1]], 11/1597440], [[[1, 4], [2, 7], [4, 1], [14, 2]], 37/258048], [[[1, 4], [2, 7], [4, 1], [26, 1]], 115/359424], [[[1, 4], [2, 7], [4, 2], [6, 5]], 293/716636160], [[[1, 4], [2, 7], [4, 2], [11, 1]], 49/10813440], [[[1, 4], [2, 7], [4, 2], [22, 1]], 10163/32440320], [[[1, 4], [2, 7], [4, 3], [5, 2]], 1/9830400], [[[1, 4], [2, 7], [4, 3], [6, 4]], 125/95551488], [[[1, 4], [2, 7], [4, 3], [8, 2]], 2359/5898240], [[[1, 4], [2, 7], [4, 3], [10, 2]], 553/7372800], [[[1, 4], [2, 7], [4, 4], [6, 3]], 277/95551488], [[[1, 4], [2, 7], [4, 4], [7, 1]], 1/5505024], [[[1, 4], [2, 7], [4, 4], [14, 1]], 6259/99090432], [[[1, 4], [2, 7], [4, 5], [6, 2]], 55/10616832], [[[1, 4], [2, 7], [4, 5], [8, 1]], 485/18874368], [[[1, 4], [2, 7], [4, 5], [10, 1]], 19/1966080], [[[1, 4], [2, 7], [4, 5], [12, 1]], 7/884736], [[[1, 4], [2, 7], [4, 6], [6, 1]], 73/28311552], [[[1, 4], [2, 7], [5, 1], [6, 5]], 7/27993600], [[[1, 4], [2, 7], [5, 1], [11, 1]], 1/1228800], [[[1, 4], [2, 7], [5, 1], [22, 1]], 71/633600], [[[1, 4], [2, 7], [5, 3], [6, 1]], 1/34560000], [[[1, 4], [2, 7], [6, 1], [7, 2]], 11/4515840], [[[1, 4], [2, 7], [6, 1], [10, 3]], 109/6912000], [[[1, 4], [2, 7], [6, 1], [13, 1]], 1/56160], [[[1, 4], [2, 7], [6, 1], [14, 2]], 71/1806336], [[[1, 4], [2, 7], [6, 1], [26, 1]], 1613/11501568], [[[1, 4], [2, 7], [6, 2], [11, 1]], 1/101376], [[[1, 4], [2, 7], [6, 2], [22, 1]], 61/608256], [[[1, 4], [2, 7], [6, 3], [8, 2]], 1/1990656], [[[1, 4], [2, 7], [6, 3], [10, 2]], 53/8294400], [[[1, 4], [2, 7], [6, 4], [7, 1]], 1/290304], [[[1, 4], [2, 7], [6, 4], [14, 1]], 7/1492992], [[[1, 4], [2, 7], [6, 4], [18, 1]], 43/1492992], [[[1, 4], [2, 7], [6, 5], [8, 1]], 1/2799360], [[[1, 4], [2, 7], [6, 5], [10, 1]], 1/1866240], [[[1, 4], [2, 7], [7, 1], [10, 2]], 1/33600], [[[1, 4], [2, 7], [8, 1], [22, 1]], 1/11520], [[[1, 4], [2, 7], [8, 2], [14, 1]], 1/294912], [[[1, 4], [2, 7], [10, 1], [11, 1]], 1/84480], [[[1, 4], [2, 7], [10, 1], [22, 1]], 2269/16220160], [[[1, 4], [2, 7], [10, 2], [14, 1]], 17/268800], [[[1, 4], [2, 9], [3, 1], [6, 5]], 2173/134369280], [[[1, 4], [2, 9], [3, 1], [11, 1]], 29/681246720], [[[1, 4], [2, 9], [3, 1], [22, 1]], 19/1351680], [[[1, 4], [2, 9], [3, 2], [5, 2]], 1/18579456000], [[[1, 4], [2, 9], [3, 2], [6, 4]], 1471/17915904], [[[1, 4], [2, 9], [3, 2], [10, 2]], 31/13824000], [[[1, 4], [2, 9], [3, 3], [6, 3]], 163/4976640], [[[1, 4], [2, 9], [3, 3], [7, 1]], 1/23410114560], [[[1, 4], [2, 9], [3, 3], [9, 1]], 1/3344302080], [[[1, 4], [2, 9], [3, 4], [6, 2]], 1/1990656], [[[1, 4], [2, 9], [4, 1], [6, 5]], 17/4478976], [[[1, 4], [2, 9], [4, 1], [11, 1]], 19/302776320], [[[1, 4], [2, 9], [4, 1], [22, 1]], 8321/97320960], [[[1, 4], [2, 9], [4, 2], [6, 4]], 17267/1146617856], [[[1, 4], [2, 9], [4, 2], [8, 2]], 311/7340032], [[[1, 4], [2, 9], [4, 2], [10, 2]], 17119/221184000], [[[1, 4], [2, 9], [4, 3], [6, 3]], 325/11943936], [[[1, 4], [2, 9], [4, 3], [14, 1]], 14353/247726080], [[[1, 4], [2, 9], [4, 4], [5, 1]], 1/1474560], [[[1, 4], [2, 9], [4, 4], [6, 2]], 10043/509607936], [[[1, 4], [2, 9], [4, 4], [8, 1]], 3481/141557760], [[[1, 4], [2, 9], [4, 4], [10, 1]], 10573/707788800], [[[1, 4], [2, 9], [4, 4], [12, 1]], 1/327680], [[[1, 4], [2, 9], [4, 5], [6, 1]], 97/26542080], [[[1, 4], [2, 9], [5, 1], [6, 4]], 7/4478976], [[[1, 4], [2, 9], [5, 1], [10, 2]], 45787/552960000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 2707/344064000], [[[1, 4], [2, 9], [6, 1], [11, 1]], 1/4055040], [[[1, 4], [2, 9], [6, 1], [22, 1]], 5491/97320960], [[[1, 4], [2, 9], [6, 2], [8, 2]], 5/10616832], [[[1, 4], [2, 9], [6, 2], [10, 2]], 3487/88473600], [[[1, 4], [2, 9], [6, 3], [7, 1]], 1/362880], [[[1, 4], [2, 9], [6, 3], [14, 1]], 1291/47775744], [[[1, 4], [2, 9], [6, 3], [18, 1]], 1409/26542080], [[[1, 4], [2, 9], [6, 4], [8, 1]], 5/2239488], [[[1, 4], [2, 9], [6, 4], [10, 1]], 17/1866240], [[[1, 4], [2, 9], [7, 1], [14, 1]], 60587/4046192640], [[[1, 4], [2, 9], [8, 1], [10, 2]], 109/13824000], [[[1, 4], [2, 9], [8, 2], [10, 1]], 7/14745600], [[[1, 4], [2, 11], [3, 1], [4, 4]], 143/2972712960], [[[1, 4], [2, 11], [3, 1], [6, 4]], 1751/117573120], [[[1, 4], [2, 11], [3, 1], [10, 2]], 133/165888000], [[[1, 4], [2, 11], [3, 2], [6, 3]], 5437/371589120], [[[1, 4], [2, 11], [3, 2], [9, 1]], 1/4459069440], [[[1, 4], [2, 11], [3, 2], [14, 1]], 163/975421440], [[[1, 4], [2, 11], [3, 3], [6, 2]], 29/99090432], [[[1, 4], [2, 11], [4, 1], [5, 2]], 1/8257536000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 70057/8026324992], [[[1, 4], [2, 11], [4, 1], [8, 2]], 857/990904320], [[[1, 4], [2, 11], [4, 1], [10, 2]], 163109/9289728000], [[[1, 4], [2, 11], [4, 2], [6, 3]], 192391/10032906240], [[[1, 4], [2, 11], [4, 2], [7, 1]], 13/924844032], [[[1, 4], [2, 11], [4, 2], [14, 1]], 29681/1950842880], [[[1, 4], [2, 11], [4, 3], [5, 1]], 29/206438400], [[[1, 4], [2, 11], [4, 3], [6, 2]], 1471/106168320], [[[1, 4], [2, 11], [4, 3], [8, 1]], 55907/7927234560], [[[1, 4], [2, 11], [4, 3], [10, 1]], 3049/412876800], [[[1, 4], [2, 11], [4, 3], [12, 1]], 59/185794560], [[[1, 4], [2, 11], [4, 4], [6, 1]], 93559/35672555520], [[[1, 4], [2, 11], [5, 1], [6, 3]], 73/111974400], [[[1, 4], [2, 11], [5, 1], [7, 1]], 1/5780275200], [[[1, 4], [2, 11], [5, 1], [14, 1]], 293/487710720], [[[1, 4], [2, 11], [6, 1], [8, 2]], 5/148635648], [[[1, 4], [2, 11], [6, 1], [10, 2]], 733/49152000], [[[1, 4], [2, 11], [6, 2], [7, 1]], 1/5419008], [[[1, 4], [2, 11], [6, 2], [14, 1]], 117073/7803371520], [[[1, 4], [2, 11], [6, 2], [18, 1]], 4555/445906944], [[[1, 4], [2, 11], [6, 3], [8, 1]], 683/627056640], [[[1, 4], [2, 11], [6, 3], [10, 1]], 3203/265420800], [[[1, 4], [2, 11], [7, 1], [10, 1]], 19/203212800], [[[1, 4], [2, 11], [8, 1], [14, 1]], 4159/3901685760], [[[1, 4], [2, 11], [10, 1], [14, 1]], 3263/321126400], [[[1, 4], [2, 13], [3, 1], [4, 3]], 1087/91968307200], [[[1, 4], [2, 13], [3, 1], [6, 3]], 4685683/2407897497600], [[[1, 4], [2, 13], [3, 1], [14, 1]], 109/2926264320], [[[1, 4], [2, 13], [3, 2], [4, 2]], 1/1486356480], [[[1, 4], [2, 13], [3, 2], [6, 2]], 7957/28665446400], [[[1, 4], [2, 13], [3, 2], [10, 1]], 193/38320128000], [[[1, 4], [2, 13], [3, 3], [6, 1]], 1/522547200], [[[1, 4], [2, 13], [4, 1], [6, 3]], 95159/37623398400], [[[1, 4], [2, 13], [4, 1], [7, 1]], 67/107296358400], [[[1, 4], [2, 13], [4, 1], [14, 1]], 242671/267544166400], [[[1, 4], [2, 13], [4, 2], [5, 1]], 139/18579456000], [[[1, 4], [2, 13], [4, 2], [6, 2]], 8333191/3210529996800], [[[1, 4], [2, 13], [4, 2], [8, 1]], 240983/490497638400], [[[1, 4], [2, 13], [4, 2], [10, 1]], 12016877/9809952768000], [[[1, 4], [2, 13], [4, 2], [12, 1]], 613/66886041600], [[[1, 4], [2, 13], [4, 3], [6, 1]], 111811/152882380800], [[[1, 4], [2, 13], [5, 1], [6, 2]], 1151/31352832000], [[[1, 4], [2, 13], [5, 1], [10, 1]], 3995711/24524881920000], [[[1, 4], [2, 13], [6, 1], [7, 1]], 19/8941363200], [[[1, 4], [2, 13], [6, 1], [14, 1]], 212339/187280916480], [[[1, 4], [2, 13], [6, 1], [18, 1]], 31489/133772083200], [[[1, 4], [2, 13], [6, 2], [8, 1]], 541/6270566400], [[[1, 4], [2, 13], [6, 2], [10, 1]], 149851/66886041600], [[[1, 4], [2, 13], [8, 1], [10, 1]], 7123/153280512000], [[[1, 4], [2, 15], [3, 1], [4, 2]], 56803/107124684226560], [[[1, 4], [2, 15], [3, 1], [5, 1]], 31/13948526592000], [[[1, 4], [2, 15], [3, 1], [6, 2]], 8319359/172164671078400], [[[1, 4], [2, 15], [3, 1], [8, 1]], 23/735746457600], [[[1, 4], [2, 15], [3, 1], [10, 1]], 577/613122048000], [[[1, 4], [2, 15], [3, 2], [4, 1]], 23/735746457600], [[[1, 4], [2, 15], [3, 2], [6, 1]], 1147/2869411184640], [[[1, 4], [2, 15], [4, 1], [5, 1]], 23/153280512000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 1438687/10434222489600], [[[1, 4], [2, 15], [4, 1], [8, 1]], 1288915/171399494762496], [[[1, 4], [2, 15], [4, 1], [10, 1]], 712109/14714929152000], [[[1, 4], [2, 15], [4, 1], [12, 1]], 23/367873228800], [[[1, 4], [2, 15], [4, 2], [6, 1]], 934097/14126331985920], [[[1, 4], [2, 15], [5, 1], [6, 1]], 893/2241727488000], [[[1, 4], [2, 15], [6, 1], [8, 1]], 42199/28694111846400], [[[1, 4], [2, 15], [6, 1], [10, 1]], 4541093/58859716608000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 1931/247210809753600], [[[1, 4], [2, 17], [3, 1], [6, 1]], 336313/1377317368627200], [[[1, 4], [2, 17], [4, 1], [6, 1]], 59585809/32137405267968000], [[[1, 5], [2, 2], [3, 3], [13, 1]], 1/14976], [[[1, 5], [2, 2], [3, 4], [4, 5]], 1/95551488], [[[1, 5], [2, 2], [4, 1], [5, 4]], 1/120000], [[[1, 5], [2, 2], [4, 3], [5, 3]], 7/2304000], [[[1, 5], [2, 2], [4, 3], [7, 2]], 1/43008], [[[1, 5], [2, 2], [4, 3], [8, 3]], 1/32768], [[[1, 5], [2, 2], [4, 3], [13, 1]], 7/59904], [[[1, 5], [2, 2], [4, 4], [11, 1]], 173/3244032], [[[1, 5], [2, 2], [4, 5], [5, 2]], 1/2457600], [[[1, 5], [2, 2], [4, 6], [7, 1]], 1/2752512], [[[1, 5], [2, 2], [5, 2], [11, 1]], 3/17600], [[[1, 5], [2, 2], [5, 3], [14, 1]], 1/42000], [[[1, 5], [2, 2], [7, 1], [13, 1]], 1/1456], [[[1, 5], [2, 2], [7, 2], [14, 1]], 11/5488], [[[1, 5], [2, 2], [8, 2], [11, 1]], 5/67584], [[[1, 5], [2, 2], [13, 1], [14, 1]], 1/4368], [[[1, 5], [2, 4], [3, 1], [4, 7]], 1/14155776], [[[1, 5], [2, 4], [3, 2], [4, 6]], 1/14155776], [[[1, 5], [2, 4], [3, 2], [7, 2]], 1/225792], [[[1, 5], [2, 4], [3, 2], [10, 3]], 1/864000], [[[1, 5], [2, 4], [3, 2], [13, 1]], 25/359424], [[[1, 5], [2, 4], [3, 2], [14, 2]], 1/56448], [[[1, 5], [2, 4], [3, 2], [26, 1]], 5/44928], [[[1, 5], [2, 4], [3, 3], [11, 1]], 1/76032], [[[1, 5], [2, 4], [4, 2], [5, 3]], 301/18432000], [[[1, 5], [2, 4], [4, 2], [7, 2]], 235/4816896], [[[1, 5], [2, 4], [4, 2], [8, 3]], 13/98304], [[[1, 5], [2, 4], [4, 2], [10, 3]], 1/18432000], [[[1, 5], [2, 4], [4, 2], [13, 1]], 679/1916928], [[[1, 5], [2, 4], [4, 2], [14, 2]], 1/344064], [[[1, 5], [2, 4], [4, 2], [26, 1]], 5/239616], [[[1, 5], [2, 4], [4, 3], [11, 1]], 125/540672], [[[1, 5], [2, 4], [4, 3], [22, 1]], 13/1081344], [[[1, 5], [2, 4], [4, 4], [5, 2]], 169/29491200], [[[1, 5], [2, 4], [4, 4], [8, 2]], 85/196608], [[[1, 5], [2, 4], [4, 5], [7, 1]], 29/2752512], [[[1, 5], [2, 4], [4, 6], [5, 1]], 1/3932160], [[[1, 5], [2, 4], [4, 6], [8, 1]], 5/262144], [[[1, 5], [2, 4], [4, 6], [12, 1]], 1/294912], [[[1, 5], [2, 4], [5, 1], [7, 2]], 1/62720], [[[1, 5], [2, 4], [5, 1], [10, 3]], 1/720000], [[[1, 5], [2, 4], [5, 1], [13, 1]], 1/8320], [[[1, 5], [2, 4], [5, 1], [14, 2]], 1/23520], [[[1, 5], [2, 4], [5, 1], [26, 1]], 11/37440], [[[1, 5], [2, 4], [5, 2], [8, 2]], 1/614400], [[[1, 5], [2, 4], [5, 2], [10, 2]], 1/3000], [[[1, 5], [2, 4], [5, 3], [6, 2]], 1/288000], [[[1, 5], [2, 4], [5, 3], [8, 1]], 1/1152000], [[[1, 5], [2, 4], [5, 3], [10, 1]], 13/180000], [[[1, 5], [2, 4], [6, 2], [7, 2]], 1/37632], [[[1, 5], [2, 4], [6, 2], [13, 1]], 1/7488], [[[1, 5], [2, 4], [6, 2], [26, 1]], 1/359424], [[[1, 5], [2, 4], [7, 1], [22, 1]], 1/4928], [[[1, 5], [2, 4], [7, 2], [8, 1]], 1/37632], [[[1, 5], [2, 4], [7, 2], [10, 1]], 1/11760], [[[1, 5], [2, 4], [8, 1], [13, 1]], 11/59904], [[[1, 5], [2, 4], [8, 1], [14, 2]], 1/301056], [[[1, 5], [2, 4], [8, 1], [26, 1]], 1/39936], [[[1, 5], [2, 4], [10, 1], [13, 1]], 17/37440], [[[1, 5], [2, 4], [11, 1], [14, 1]], 5/14784], [[[1, 5], [2, 6], [3, 1], [7, 2]], 1/1806336], [[[1, 5], [2, 6], [3, 1], [10, 3]], 1/384000], [[[1, 5], [2, 6], [3, 1], [13, 1]], 301/28753920], [[[1, 5], [2, 6], [3, 1], [14, 2]], 11/451584], [[[1, 5], [2, 6], [3, 1], [26, 1]], 1/7488], [[[1, 5], [2, 6], [3, 2], [6, 5]], 79/8398080], [[[1, 5], [2, 6], [3, 2], [11, 1]], 1/608256], [[[1, 5], [2, 6], [3, 2], [22, 1]], 19/380160], [[[1, 5], [2, 6], [3, 3], [6, 4]], 77/746496], [[[1, 5], [2, 6], [3, 4], [4, 3]], 1/191102976], [[[1, 5], [2, 6], [3, 4], [6, 3]], 83/2239488], [[[1, 5], [2, 6], [4, 1], [5, 3]], 11/46080000], [[[1, 5], [2, 6], [4, 1], [7, 2]], 27/2007040], [[[1, 5], [2, 6], [4, 1], [8, 3]], 1/131072], [[[1, 5], [2, 6], [4, 1], [10, 3]], 631/46080000], [[[1, 5], [2, 6], [4, 1], [13, 1]], 29/299520], [[[1, 5], [2, 6], [4, 1], [14, 2]], 229/5160960], [[[1, 5], [2, 6], [4, 1], [26, 1]], 1301/4792320], [[[1, 5], [2, 6], [4, 2], [6, 5]], 41/716636160], [[[1, 5], [2, 6], [4, 2], [11, 1]], 2017/32440320], [[[1, 5], [2, 6], [4, 2], [22, 1]], 2687/10813440], [[[1, 5], [2, 6], [4, 3], [5, 2]], 7/4915200], [[[1, 5], [2, 6], [4, 3], [6, 4]], 13/191102976], [[[1, 5], [2, 6], [4, 3], [8, 2]], 217/294912], [[[1, 5], [2, 6], [4, 3], [10, 2]], 1309/29491200], [[[1, 5], [2, 6], [4, 4], [7, 1]], 13/5505024], [[[1, 5], [2, 6], [4, 4], [14, 1]], 1861/33030144], [[[1, 5], [2, 6], [4, 5], [5, 1]], 1/491520], [[[1, 5], [2, 6], [4, 5], [6, 2]], 85/42467328], [[[1, 5], [2, 6], [4, 5], [8, 1]], 745/6291456], [[[1, 5], [2, 6], [4, 5], [10, 1]], 109/11796480], [[[1, 5], [2, 6], [4, 5], [12, 1]], 5/294912], [[[1, 5], [2, 6], [4, 6], [6, 1]], 71/28311552], [[[1, 5], [2, 6], [5, 1], [6, 5]], 1/27993600], [[[1, 5], [2, 6], [5, 1], [11, 1]], 181/40550400], [[[1, 5], [2, 6], [5, 1], [22, 1]], 103/633600], [[[1, 5], [2, 6], [5, 2], [14, 1]], 1/134400], [[[1, 5], [2, 6], [5, 3], [6, 1]], 7/11520000], [[[1, 5], [2, 6], [6, 1], [7, 2]], 37/3010560], [[[1, 5], [2, 6], [6, 1], [10, 3]], 1/6912000], [[[1, 5], [2, 6], [6, 1], [13, 1]], 97/1198080], [[[1, 5], [2, 6], [6, 1], [14, 2]], 1/129024], [[[1, 5], [2, 6], [6, 1], [26, 1]], 797/11501568], [[[1, 5], [2, 6], [6, 2], [11, 1]], 1/27648], [[[1, 5], [2, 6], [6, 2], [22, 1]], 5/152064], [[[1, 5], [2, 6], [6, 3], [10, 2]], 1/8294400], [[[1, 5], [2, 6], [6, 4], [7, 1]], 1/870912], [[[1, 5], [2, 6], [6, 4], [14, 1]], 1/10450944], [[[1, 5], [2, 6], [6, 4], [18, 1]], 7/1492992], [[[1, 5], [2, 6], [7, 1], [10, 2]], 1/33600], [[[1, 5], [2, 6], [8, 1], [11, 1]], 1/135168], [[[1, 5], [2, 6], [8, 1], [22, 1]], 23/405504], [[[1, 5], [2, 6], [8, 2], [14, 1]], 1/688128], [[[1, 5], [2, 6], [10, 1], [11, 1]], 23/253440], [[[1, 5], [2, 6], [10, 1], [22, 1]], 733/16220160], [[[1, 5], [2, 6], [10, 2], [14, 1]], 1/89600], [[[1, 5], [2, 8], [3, 1], [4, 5]], 1/3145728], [[[1, 5], [2, 8], [3, 1], [6, 5]], 7/829440], [[[1, 5], [2, 8], [3, 1], [11, 1]], 109/151388160], [[[1, 5], [2, 8], [3, 1], [22, 1]], 43/1105920], [[[1, 5], [2, 8], [3, 2], [4, 4]], 1/28311552], [[[1, 5], [2, 8], [3, 2], [5, 2]], 19/6193152000], [[[1, 5], [2, 8], [3, 2], [6, 4]], 5719/53747712], [[[1, 5], [2, 8], [3, 2], [10, 2]], 49/10368000], [[[1, 5], [2, 8], [3, 3], [6, 3]], 563/4976640], [[[1, 5], [2, 8], [3, 3], [7, 1]], 19/7803371520], [[[1, 5], [2, 8], [3, 3], [9, 1]], 19/1114767360], [[[1, 5], [2, 8], [3, 4], [6, 2]], 407/89579520], [[[1, 5], [2, 8], [4, 1], [6, 5]], 1063/895795200], [[[1, 5], [2, 8], [4, 1], [11, 1]], 1/327680], [[[1, 5], [2, 8], [4, 1], [22, 1]], 128587/973209600], [[[1, 5], [2, 8], [4, 2], [5, 2]], 137/294912000], [[[1, 5], [2, 8], [4, 2], [6, 4]], 7937/1146617856], [[[1, 5], [2, 8], [4, 2], [8, 2]], 5959/47185920], [[[1, 5], [2, 8], [4, 2], [10, 2]], 20359/221184000], [[[1, 5], [2, 8], [4, 3], [6, 3]], 1967/95551488], [[[1, 5], [2, 8], [4, 3], [7, 1]], 241/82575360], [[[1, 5], [2, 8], [4, 3], [14, 1]], 29839/247726080], [[[1, 5], [2, 8], [4, 4], [5, 1]], 23/4718592], [[[1, 5], [2, 8], [4, 4], [6, 2]], 12223/424673280], [[[1, 5], [2, 8], [4, 4], [8, 1]], 6611/47185920], [[[1, 5], [2, 8], [4, 4], [10, 1]], 4381/88473600], [[[1, 5], [2, 8], [4, 4], [12, 1]], 23/1769472], [[[1, 5], [2, 8], [4, 5], [6, 1]], 2827/169869312], [[[1, 5], [2, 8], [5, 1], [6, 4]], 7/4478976], [[[1, 5], [2, 8], [5, 1], [10, 2]], 142367/1105920000], [[[1, 5], [2, 8], [5, 2], [6, 2]], 1/2764800], [[[1, 5], [2, 8], [5, 2], [10, 1]], 4579/110592000], [[[1, 5], [2, 8], [6, 1], [11, 1]], 13/2433024], [[[1, 5], [2, 8], [6, 1], [22, 1]], 2869/48660480], [[[1, 5], [2, 8], [6, 2], [8, 2]], 1/2949120], [[[1, 5], [2, 8], [6, 2], [10, 2]], 1183/88473600], [[[1, 5], [2, 8], [6, 3], [7, 1]], 1/217728], [[[1, 5], [2, 8], [6, 3], [14, 1]], 3805/334430208], [[[1, 5], [2, 8], [6, 3], [18, 1]], 599/15925248], [[[1, 5], [2, 8], [6, 4], [8, 1]], 25/23887872], [[[1, 5], [2, 8], [6, 4], [10, 1]], 7/2985984], [[[1, 5], [2, 8], [7, 1], [14, 1]], 14353/289013760], [[[1, 5], [2, 8], [8, 1], [10, 2]], 29/3686400], [[[1, 5], [2, 8], [8, 2], [10, 1]], 1/1843200], [[[1, 5], [2, 10], [3, 1], [4, 4]], 1907/2972712960], [[[1, 5], [2, 10], [3, 1], [5, 2]], 1/6193152000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 2069/95551488], [[[1, 5], [2, 10], [3, 1], [10, 2]], 7/2304000], [[[1, 5], [2, 10], [3, 2], [4, 3]], 1/10616832], [[[1, 5], [2, 10], [3, 2], [6, 3]], 1469177/30098718720], [[[1, 5], [2, 10], [3, 2], [7, 1]], 1/5202247680], [[[1, 5], [2, 10], [3, 2], [9, 1]], 59/4459069440], [[[1, 5], [2, 10], [3, 2], [14, 1]], 2503/2926264320], [[[1, 5], [2, 10], [3, 3], [5, 1]], 1/33443020800], [[[1, 5], [2, 10], [3, 3], [6, 2]], 2557/891813888], [[[1, 5], [2, 10], [3, 4], [4, 1]], 1/160526499840], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1/20065812480], [[[1, 5], [2, 10], [4, 1], [5, 2]], 29/4128768000], [[[1, 5], [2, 10], [4, 1], [6, 4]], 99797/11466178560], [[[1, 5], [2, 10], [4, 1], [8, 2]], 4307/990904320], [[[1, 5], [2, 10], [4, 1], [10, 2]], 31661/983040000], [[[1, 5], [2, 10], [4, 2], [6, 3]], 295201/10032906240], [[[1, 5], [2, 10], [4, 2], [7, 1]], 1913/4624220160], [[[1, 5], [2, 10], [4, 2], [14, 1]], 6583/139345920], [[[1, 5], [2, 10], [4, 3], [5, 1]], 11/7372800], [[[1, 5], [2, 10], [4, 3], [6, 2]], 2123/53084160], [[[1, 5], [2, 10], [4, 3], [8, 1]], 355583/7927234560], [[[1, 5], [2, 10], [4, 3], [10, 1]], 41989/1238630400], [[[1, 5], [2, 10], [4, 3], [12, 1]], 121/53084160], [[[1, 5], [2, 10], [4, 4], [6, 1]], 31117/1698693120], [[[1, 5], [2, 10], [5, 1], [6, 3]], 11/6123600], [[[1, 5], [2, 10], [5, 1], [7, 1]], 59/5780275200], [[[1, 5], [2, 10], [5, 1], [14, 1]], 1487/487710720], [[[1, 5], [2, 10], [5, 2], [6, 1]], 1/110592000], [[[1, 5], [2, 10], [6, 1], [8, 2]], 1/11796480], [[[1, 5], [2, 10], [6, 1], [10, 2]], 383/22118400], [[[1, 5], [2, 10], [6, 2], [7, 1]], 1/967680], [[[1, 5], [2, 10], [6, 2], [14, 1]], 1031/55738368], [[[1, 5], [2, 10], [6, 2], [18, 1]], 13819/743178240], [[[1, 5], [2, 10], [6, 3], [8, 1]], 217/119439360], [[[1, 5], [2, 10], [6, 3], [10, 1]], 12881/1194393600], [[[1, 5], [2, 10], [7, 1], [10, 1]], 1/1411200], [[[1, 5], [2, 10], [8, 1], [14, 1]], 461/144506880], [[[1, 5], [2, 10], [10, 1], [14, 1]], 19349/1238630400], [[[1, 5], [2, 12], [3, 1], [4, 3]], 55831/356725555200], [[[1, 5], [2, 12], [3, 1], [6, 3]], 11915/1783627776], [[[1, 5], [2, 12], [3, 1], [7, 1]], 1/20808990720], [[[1, 5], [2, 12], [3, 1], [9, 1]], 1/8918138880], [[[1, 5], [2, 12], [3, 1], [14, 1]], 11/36126720], [[[1, 5], [2, 12], [3, 2], [4, 2]], 71/3397386240], [[[1, 5], [2, 12], [3, 2], [6, 2]], 94813/42998169600], [[[1, 5], [2, 12], [3, 2], [10, 1]], 719/16422912000], [[[1, 5], [2, 12], [3, 3], [6, 1]], 8207/267544166400], [[[1, 5], [2, 12], [4, 1], [6, 3]], 1283069/200658124800], [[[1, 5], [2, 12], [4, 1], [7, 1]], 3053/208089907200], [[[1, 5], [2, 12], [4, 1], [14, 1]], 178631/44590694400], [[[1, 5], [2, 12], [4, 2], [5, 1]], 2483/19818086400], [[[1, 5], [2, 12], [4, 2], [6, 2]], 2197327/200658124800], [[[1, 5], [2, 12], [4, 2], [8, 1]], 36109/9909043200], [[[1, 5], [2, 12], [4, 2], [10, 1]], 4103227/613122048000], [[[1, 5], [2, 12], [4, 2], [12, 1]], 653/7431782400], [[[1, 5], [2, 12], [4, 3], [6, 1]], 155569/26754416640], [[[1, 5], [2, 12], [5, 1], [6, 2]], 3859/15676416000], [[[1, 5], [2, 12], [5, 1], [10, 1]], 25357933/24524881920000], [[[1, 5], [2, 12], [6, 1], [7, 1]], 13/487710720], [[[1, 5], [2, 12], [6, 1], [14, 1]], 1105/334430208], [[[1, 5], [2, 12], [6, 1], [18, 1]], 6221/6688604160], [[[1, 5], [2, 12], [6, 2], [8, 1]], 397/1114767360], [[[1, 5], [2, 12], [6, 2], [10, 1]], 22007/4459069440], [[[1, 5], [2, 12], [8, 1], [10, 1]], 331/1393459200], [[[1, 5], [2, 14], [3, 1], [4, 2]], 551/59454259200], [[[1, 5], [2, 14], [3, 1], [5, 1]], 23/459841536000], [[[1, 5], [2, 14], [3, 1], [6, 2]], 9467/28028436480], [[[1, 5], [2, 14], [3, 1], [8, 1]], 7/19110297600], [[[1, 5], [2, 14], [3, 1], [10, 1]], 83/7185024000], [[[1, 5], [2, 14], [3, 2], [4, 1]], 281/367873228800], [[[1, 5], [2, 14], [3, 2], [6, 1]], 662029/86082335539200], [[[1, 5], [2, 14], [4, 1], [5, 1]], 11729/3678732288000], [[[1, 5], [2, 14], [4, 1], [6, 2]], 132636769/176579149824000], [[[1, 5], [2, 14], [4, 1], [8, 1]], 1587881/23543886643200], [[[1, 5], [2, 14], [4, 1], [10, 1]], 6901321/21021327360000], [[[1, 5], [2, 14], [4, 1], [12, 1]], 7/9555148800], [[[1, 5], [2, 14], [4, 2], [6, 1]], 106594907/183642315816960], [[[1, 5], [2, 14], [5, 1], [6, 1]], 6067/1120863744000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 17483/1471492915200], [[[1, 5], [2, 14], [6, 1], [10, 1]], 20593033/58859716608000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 13297/73039557427200], [[[1, 5], [2, 16], [3, 1], [6, 1]], 12903557/4284987369062400], [[[1, 5], [2, 16], [4, 1], [6, 1]], 106586891/5843164594176000], [[[1, 5], [3, 1], [4, 4], [11, 1]], 1/811008], [[[1, 5], [3, 1], [5, 2], [11, 1]], 1/6600], [[[1, 5], [3, 1], [7, 1], [13, 1]], 1/2184], [[[1, 5], [3, 1], [7, 2], [9, 1]], 1/3528], [[[1, 5], [3, 1], [8, 2], [11, 1]], 1/16896], [[[1, 5], [3, 2], [4, 2], [13, 1]], 1/29952], [[[1, 5], [3, 2], [4, 4], [5, 2]], 1/11059200], [[[1, 5], [3, 2], [5, 1], [13, 1]], 1/4680], [[[1, 5], [3, 2], [5, 2], [8, 2]], 1/230400], [[[1, 5], [3, 2], [5, 2], [15, 1]], 1/1800], [[[1, 5], [3, 3], [4, 4], [7, 1]], 1/13934592], [[[1, 5], [3, 3], [4, 4], [9, 1]], 1/1990656], [[[1, 5], [3, 3], [7, 1], [8, 2]], 1/290304], [[[1, 5], [3, 3], [8, 2], [9, 1]], 1/41472], [[[1, 5], [4, 2], [5, 3], [12, 1]], 1/72000], [[[1, 5], [4, 2], [7, 2], [12, 1]], 1/18816], [[[1, 5], [4, 2], [12, 1], [13, 1]], 1/7488], [[[1, 5], [5, 1], [7, 1], [11, 1]], 1/3080], [[[1, 6], [2, 1], [3, 1], [5, 4]], 1/90000], [[[1, 6], [2, 1], [3, 3], [5, 3]], 1/108000], [[[1, 6], [2, 1], [3, 3], [7, 2]], 1/63504], [[[1, 6], [2, 1], [3, 3], [13, 1]], 1/14976], [[[1, 6], [2, 1], [3, 4], [4, 5]], 1/95551488], [[[1, 6], [2, 1], [3, 5], [4, 4]], 1/358318080], [[[1, 6], [2, 1], [3, 5], [8, 2]], 1/7464960], [[[1, 6], [2, 1], [4, 1], [5, 4]], 1/120000], [[[1, 6], [2, 1], [4, 3], [5, 3]], 7/2304000], [[[1, 6], [2, 1], [4, 3], [7, 2]], 1/86016], [[[1, 6], [2, 1], [4, 3], [13, 1]], 7/239616], [[[1, 6], [2, 1], [4, 4], [11, 1]], 1/1474560], [[[1, 6], [2, 1], [4, 5], [5, 2]], 1/4915200], [[[1, 6], [2, 1], [5, 2], [11, 1]], 7/52800], [[[1, 6], [2, 1], [5, 3], [7, 1]], 1/42000], [[[1, 6], [2, 1], [7, 1], [13, 1]], 1/1092], [[[1, 6], [2, 1], [7, 2], [14, 1]], 1/1568], [[[1, 6], [2, 1], [8, 2], [11, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 7]], 1/14155776], [[[1, 6], [2, 3], [3, 2], [4, 6]], 1/7077888], [[[1, 6], [2, 3], [3, 2], [5, 3]], 1/216000], [[[1, 6], [2, 3], [3, 2], [7, 2]], 1/56448], [[[1, 6], [2, 3], [3, 2], [13, 1]], 11/59904], [[[1, 6], [2, 3], [3, 2], [14, 2]], 1/225792], [[[1, 6], [2, 3], [3, 2], [26, 1]], 1/29952], [[[1, 6], [2, 3], [3, 3], [4, 5]], 1/15925248], [[[1, 6], [2, 3], [3, 3], [11, 1]], 1/19008], [[[1, 6], [2, 3], [3, 4], [4, 4]], 19/63700992], [[[1, 6], [2, 3], [3, 4], [5, 2]], 1/1036800], [[[1, 6], [2, 3], [3, 4], [8, 2]], 1/3981312], [[[1, 6], [2, 3], [3, 5], [7, 1]], 1/1306368], [[[1, 6], [2, 3], [3, 5], [9, 1]], 1/186624], [[[1, 6], [2, 3], [3, 5], [14, 1]], 1/1632960], [[[1, 6], [2, 3], [4, 2], [5, 3]], 133/3072000], [[[1, 6], [2, 3], [4, 2], [7, 2]], 69/401408], [[[1, 6], [2, 3], [4, 2], [8, 3]], 3/65536], [[[1, 6], [2, 3], [4, 2], [13, 1]], 37/79872], [[[1, 6], [2, 3], [4, 2], [14, 2]], 1/4816896], [[[1, 6], [2, 3], [4, 2], [26, 1]], 1/638976], [[[1, 6], [2, 3], [4, 3], [11, 1]], 403/1622016], [[[1, 6], [2, 3], [4, 3], [22, 1]], 1/1081344], [[[1, 6], [2, 3], [4, 4], [5, 2]], 17/1474560], [[[1, 6], [2, 3], [4, 4], [8, 2]], 37/1572864], [[[1, 6], [2, 3], [4, 5], [7, 1]], 89/8257536], [[[1, 6], [2, 3], [4, 6], [5, 1]], 1/2949120], [[[1, 6], [2, 3], [4, 6], [8, 1]], 7/9437184], [[[1, 6], [2, 3], [5, 1], [7, 2]], 1/7840], [[[1, 6], [2, 3], [5, 1], [13, 1]], 1/2496], [[[1, 6], [2, 3], [5, 1], [14, 2]], 1/188160], [[[1, 6], [2, 3], [5, 1], [26, 1]], 1/24960], [[[1, 6], [2, 3], [5, 2], [8, 2]], 1/153600], [[[1, 6], [2, 3], [5, 2], [10, 2]], 1/12000], [[[1, 6], [2, 3], [5, 3], [6, 2]], 1/288000], [[[1, 6], [2, 3], [5, 3], [8, 1]], 7/1152000], [[[1, 6], [2, 3], [5, 3], [10, 1]], 1/5000], [[[1, 6], [2, 3], [6, 2], [7, 2]], 1/56448], [[[1, 6], [2, 3], [6, 2], [13, 1]], 1/14976], [[[1, 6], [2, 3], [7, 1], [11, 1]], 1/4928], [[[1, 6], [2, 3], [7, 2], [8, 1]], 1/21504], [[[1, 6], [2, 3], [7, 2], [10, 1]], 1/15680], [[[1, 6], [2, 3], [8, 1], [13, 1]], 7/29952], [[[1, 6], [2, 3], [10, 1], [13, 1]], 1/4160], [[[1, 6], [2, 3], [11, 1], [14, 1]], 1/6720], [[[1, 6], [2, 5], [3, 1], [4, 6]], 71/28311552], [[[1, 6], [2, 5], [3, 1], [5, 3]], 1/6912000], [[[1, 6], [2, 5], [3, 1], [7, 2]], 1/129024], [[[1, 6], [2, 5], [3, 1], [10, 3]], 7/11520000], [[[1, 6], [2, 5], [3, 1], [13, 1]], 797/11501568], [[[1, 6], [2, 5], [3, 1], [14, 2]], 37/3010560], [[[1, 6], [2, 5], [3, 1], [26, 1]], 97/1198080], [[[1, 6], [2, 5], [3, 2], [4, 5]], 85/42467328], [[[1, 6], [2, 5], [3, 2], [11, 1]], 5/152064], [[[1, 6], [2, 5], [3, 2], [22, 1]], 1/27648], [[[1, 6], [2, 5], [3, 3], [5, 2]], 1/8294400], [[[1, 6], [2, 5], [3, 3], [6, 4]], 83/2239488], [[[1, 6], [2, 5], [3, 4], [4, 3]], 13/191102976], [[[1, 6], [2, 5], [3, 4], [6, 3]], 77/746496], [[[1, 6], [2, 5], [3, 4], [7, 1]], 1/10450944], [[[1, 6], [2, 5], [3, 4], [9, 1]], 7/1492992], [[[1, 6], [2, 5], [3, 4], [14, 1]], 1/870912], [[[1, 6], [2, 5], [3, 5], [4, 2]], 41/716636160], [[[1, 6], [2, 5], [3, 5], [6, 2]], 79/8398080], [[[1, 6], [2, 5], [3, 5], [10, 1]], 1/27993600], [[[1, 6], [2, 5], [4, 1], [5, 3]], 631/46080000], [[[1, 6], [2, 5], [4, 1], [7, 2]], 229/5160960], [[[1, 6], [2, 5], [4, 1], [8, 3]], 1/131072], [[[1, 6], [2, 5], [4, 1], [10, 3]], 11/46080000], [[[1, 6], [2, 5], [4, 1], [13, 1]], 1301/4792320], [[[1, 6], [2, 5], [4, 1], [14, 2]], 27/2007040], [[[1, 6], [2, 5], [4, 1], [26, 1]], 29/299520], [[[1, 6], [2, 5], [4, 2], [11, 1]], 2687/10813440], [[[1, 6], [2, 5], [4, 2], [22, 1]], 2017/32440320], [[[1, 6], [2, 5], [4, 3], [5, 2]], 1309/29491200], [[[1, 6], [2, 5], [4, 3], [6, 4]], 1/191102976], [[[1, 6], [2, 5], [4, 3], [8, 2]], 217/294912], [[[1, 6], [2, 5], [4, 3], [10, 2]], 7/4915200], [[[1, 6], [2, 5], [4, 4], [7, 1]], 1861/33030144], [[[1, 6], [2, 5], [4, 4], [14, 1]], 13/5505024], [[[1, 6], [2, 5], [4, 5], [5, 1]], 109/11796480], [[[1, 6], [2, 5], [4, 5], [8, 1]], 745/6291456], [[[1, 6], [2, 5], [4, 5], [10, 1]], 1/491520], [[[1, 6], [2, 5], [4, 5], [12, 1]], 5/294912], [[[1, 6], [2, 5], [5, 1], [11, 1]], 733/16220160], [[[1, 6], [2, 5], [5, 1], [22, 1]], 23/253440], [[[1, 6], [2, 5], [5, 2], [7, 1]], 1/89600], [[[1, 6], [2, 5], [5, 2], [14, 1]], 1/33600], [[[1, 6], [2, 5], [5, 3], [6, 1]], 1/384000], [[[1, 6], [2, 5], [6, 1], [7, 2]], 11/451584], [[[1, 6], [2, 5], [6, 1], [13, 1]], 1/7488], [[[1, 6], [2, 5], [6, 1], [14, 2]], 1/1806336], [[[1, 6], [2, 5], [6, 1], [26, 1]], 301/28753920], [[[1, 6], [2, 5], [6, 2], [11, 1]], 19/380160], [[[1, 6], [2, 5], [6, 2], [22, 1]], 1/608256], [[[1, 6], [2, 5], [7, 1], [8, 2]], 1/688128], [[[1, 6], [2, 5], [7, 1], [10, 2]], 1/134400], [[[1, 6], [2, 5], [8, 1], [11, 1]], 23/405504], [[[1, 6], [2, 5], [8, 1], [22, 1]], 1/135168], [[[1, 6], [2, 5], [10, 1], [11, 1]], 103/633600], [[[1, 6], [2, 5], [10, 1], [22, 1]], 181/40550400], [[[1, 6], [2, 7], [3, 1], [4, 5]], 23/9437184], [[[1, 6], [2, 7], [3, 1], [6, 5]], 73/49766400], [[[1, 6], [2, 7], [3, 1], [11, 1]], 137/24330240], [[[1, 6], [2, 7], [3, 1], [22, 1]], 29/614400], [[[1, 6], [2, 7], [3, 2], [4, 4]], 49/42467328], [[[1, 6], [2, 7], [3, 2], [5, 2]], 11/221184000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 1157/17915904], [[[1, 6], [2, 7], [3, 2], [10, 2]], 13/2764800], [[[1, 6], [2, 7], [3, 3], [4, 3]], 13/31850496], [[[1, 6], [2, 7], [3, 3], [6, 3]], 71/373248], [[[1, 6], [2, 7], [3, 3], [7, 1]], 11/278691840], [[[1, 6], [2, 7], [3, 3], [9, 1]], 31/39813120], [[[1, 6], [2, 7], [3, 4], [4, 2]], 49/1911029760], [[[1, 6], [2, 7], [3, 4], [6, 2]], 1847/89579520], [[[1, 6], [2, 7], [3, 4], [10, 1]], 1/14929920], [[[1, 6], [2, 7], [3, 5], [6, 1]], 1/1343692800], [[[1, 6], [2, 7], [4, 1], [6, 5]], 43/895795200], [[[1, 6], [2, 7], [4, 1], [11, 1]], 377/10813440], [[[1, 6], [2, 7], [4, 1], [22, 1]], 11003/108134400], [[[1, 6], [2, 7], [4, 2], [5, 2]], 253/36864000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 2759/1911029760], [[[1, 6], [2, 7], [4, 2], [8, 2]], 3089/18874368], [[[1, 6], [2, 7], [4, 2], [10, 2]], 2087/49152000], [[[1, 6], [2, 7], [4, 3], [6, 3]], 25/5971968], [[[1, 6], [2, 7], [4, 3], [7, 1]], 2231/82575360], [[[1, 6], [2, 7], [4, 3], [14, 1]], 7751/82575360], [[[1, 6], [2, 7], [4, 4], [5, 1]], 1/92160], [[[1, 6], [2, 7], [4, 4], [6, 2]], 10571/849346560], [[[1, 6], [2, 7], [4, 4], [8, 1]], 197/786432], [[[1, 6], [2, 7], [4, 4], [10, 1]], 9991/235929600], [[[1, 6], [2, 7], [4, 4], [12, 1]], 11/589824], [[[1, 6], [2, 7], [4, 5], [6, 1]], 877/56623104], [[[1, 6], [2, 7], [5, 1], [6, 4]], 1/1658880], [[[1, 6], [2, 7], [5, 1], [10, 2]], 9617/73728000], [[[1, 6], [2, 7], [5, 2], [6, 2]], 1/460800], [[[1, 6], [2, 7], [5, 2], [8, 1]], 1/3686400], [[[1, 6], [2, 7], [5, 2], [10, 1]], 10639/110592000], [[[1, 6], [2, 7], [6, 1], [11, 1]], 1561/60825600], [[[1, 6], [2, 7], [6, 1], [22, 1]], 929/32440320], [[[1, 6], [2, 7], [6, 2], [8, 2]], 1/17694720], [[[1, 6], [2, 7], [6, 2], [10, 2]], 661/663552000], [[[1, 6], [2, 7], [6, 3], [7, 1]], 1/435456], [[[1, 6], [2, 7], [6, 3], [14, 1]], 1261/836075520], [[[1, 6], [2, 7], [6, 3], [18, 1]], 1321/119439360], [[[1, 6], [2, 7], [6, 4], [8, 1]], 1/23887872], [[[1, 6], [2, 7], [6, 4], [10, 1]], 1/14929920], [[[1, 6], [2, 7], [7, 1], [14, 1]], 8473/96337920], [[[1, 6], [2, 7], [8, 1], [10, 2]], 1/368640], [[[1, 6], [2, 7], [8, 2], [10, 1]], 1/4915200], [[[1, 6], [2, 9], [3, 1], [4, 4]], 1057/283115520], [[[1, 6], [2, 9], [3, 1], [5, 2]], 43/4644864000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 21079/1433272320], [[[1, 6], [2, 9], [3, 1], [10, 2]], 683/138240000], [[[1, 6], [2, 9], [3, 2], [4, 3]], 431/424673280], [[[1, 6], [2, 9], [3, 2], [6, 3]], 222097/2866544640], [[[1, 6], [2, 9], [3, 2], [7, 1]], 43/3901685760], [[[1, 6], [2, 9], [3, 2], [9, 1]], 89/382205952], [[[1, 6], [2, 9], [3, 2], [14, 1]], 131/65028096], [[[1, 6], [2, 9], [3, 3], [5, 1]], 29/16721510400], [[[1, 6], [2, 9], [3, 3], [6, 2]], 41213/3344302080], [[[1, 6], [2, 9], [3, 4], [4, 1]], 19/53508833280], [[[1, 6], [2, 9], [3, 4], [6, 1]], 17/4013162496], [[[1, 6], [2, 9], [4, 1], [5, 2]], 1597/8257536000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 1639/424673280], [[[1, 6], [2, 9], [4, 1], [8, 2]], 1361/141557760], [[[1, 6], [2, 9], [4, 1], [10, 2]], 123767/4423680000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 4757/238878720], [[[1, 6], [2, 9], [4, 2], [7, 1]], 1423/330301440], [[[1, 6], [2, 9], [4, 2], [14, 1]], 2294893/34681651200], [[[1, 6], [2, 9], [4, 3], [5, 1]], 791/117964800], [[[1, 6], [2, 9], [4, 3], [6, 2]], 3421/79626240], [[[1, 6], [2, 9], [4, 3], [8, 1]], 316657/2642411520], [[[1, 6], [2, 9], [4, 3], [10, 1]], 74519/1238630400], [[[1, 6], [2, 9], [4, 3], [12, 1]], 101/17694720], [[[1, 6], [2, 9], [4, 4], [6, 1]], 64541/1698693120], [[[1, 6], [2, 9], [5, 1], [6, 3]], 1/460800], [[[1, 6], [2, 9], [5, 1], [7, 1]], 89/495452160], [[[1, 6], [2, 9], [5, 1], [14, 1]], 1873/270950400], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/4608000], [[[1, 6], [2, 9], [6, 1], [8, 2]], 1/11796480], [[[1, 6], [2, 9], [6, 1], [10, 2]], 12293/1327104000], [[[1, 6], [2, 9], [6, 2], [7, 1]], 23/9289728], [[[1, 6], [2, 9], [6, 2], [14, 1]], 2497/222953472], [[[1, 6], [2, 9], [6, 2], [18, 1]], 3367/191102976], [[[1, 6], [2, 9], [6, 3], [8, 1]], 67/59719680], [[[1, 6], [2, 9], [6, 3], [10, 1]], 1967/477757440], [[[1, 6], [2, 9], [7, 1], [10, 1]], 11/4300800], [[[1, 6], [2, 9], [8, 1], [14, 1]], 251/61931520], [[[1, 6], [2, 9], [10, 1], [14, 1]], 2117/176947200], [[[1, 6], [2, 11], [3, 1], [4, 3]], 947/880803840], [[[1, 6], [2, 11], [3, 1], [6, 3]], 4671629/401316249600], [[[1, 6], [2, 11], [3, 1], [7, 1]], 1/346816512], [[[1, 6], [2, 11], [3, 1], [9, 1]], 29/4459069440], [[[1, 6], [2, 11], [3, 1], [14, 1]], 23171/19508428800], [[[1, 6], [2, 11], [3, 2], [4, 2]], 481/2378170368], [[[1, 6], [2, 11], [3, 2], [5, 1]], 1/14863564800], [[[1, 6], [2, 11], [3, 2], [6, 2]], 180947/21403533312], [[[1, 6], [2, 11], [3, 2], [10, 1]], 187/1045094400], [[[1, 6], [2, 11], [3, 3], [4, 1]], 1/26754416640], [[[1, 6], [2, 11], [3, 3], [6, 1]], 24041/114661785600], [[[1, 6], [2, 11], [4, 1], [6, 3]], 398227/50164531200], [[[1, 6], [2, 11], [4, 1], [7, 1]], 719/4624220160], [[[1, 6], [2, 11], [4, 1], [14, 1]], 2770819/312134860800], [[[1, 6], [2, 11], [4, 2], [5, 1]], 4663/4954521600], [[[1, 6], [2, 11], [4, 2], [6, 2]], 3682981/178362777600], [[[1, 6], [2, 11], [4, 2], [8, 1]], 3163807/237817036800], [[[1, 6], [2, 11], [4, 2], [10, 1]], 1094681/63700992000], [[[1, 6], [2, 11], [4, 2], [12, 1]], 197/530841600], [[[1, 6], [2, 11], [4, 3], [6, 1]], 496897/26754416640], [[[1, 6], [2, 11], [5, 1], [6, 2]], 29/38707200], [[[1, 6], [2, 11], [5, 1], [10, 1]], 28303/7962624000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 421/2601123840], [[[1, 6], [2, 11], [6, 1], [14, 1]], 198881/39016857600], [[[1, 6], [2, 11], [6, 1], [18, 1]], 68641/33443020800], [[[1, 6], [2, 11], [6, 2], [8, 1]], 1/1474560], [[[1, 6], [2, 11], [6, 2], [10, 1]], 29489/5308416000], [[[1, 6], [2, 11], [8, 1], [10, 1]], 61/103219200], [[[1, 6], [2, 13], [3, 1], [4, 2]], 196171/2140353331200], [[[1, 6], [2, 13], [3, 1], [5, 1]], 3181/5350883328000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 213667/167215104000], [[[1, 6], [2, 13], [3, 1], [8, 1]], 11/4954521600], [[[1, 6], [2, 13], [3, 1], [10, 1]], 111791/1532805120000], [[[1, 6], [2, 13], [3, 2], [4, 1]], 296719/35315829964800], [[[1, 6], [2, 13], [3, 2], [6, 1]], 641519/8828957491200], [[[1, 6], [2, 13], [4, 1], [5, 1]], 966421/29429858304000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 2143919/1003290624000], [[[1, 6], [2, 13], [4, 1], [8, 1]], 16153/47563407360], [[[1, 6], [2, 13], [4, 1], [10, 1]], 443707/371589120000], [[[1, 6], [2, 13], [4, 1], [12, 1]], 11/2477260800], [[[1, 6], [2, 13], [4, 2], [6, 1]], 29733211/11771943321600], [[[1, 6], [2, 13], [5, 1], [6, 1]], 929/25546752000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 6817/133772083200], [[[1, 6], [2, 13], [6, 1], [10, 1]], 1180027/1337720832000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 1403/588597166080], [[[1, 6], [2, 15], [3, 1], [6, 1]], 198297739/9182115790848000], [[[1, 6], [2, 15], [4, 1], [6, 1]], 310569089/3060705263616000], [[[1, 7], [2, 2], [3, 2], [4, 6]], 1/14155776], [[[1, 7], [2, 2], [3, 2], [5, 3]], 1/24000], [[[1, 7], [2, 2], [3, 2], [7, 2]], 11/112896], [[[1, 7], [2, 2], [3, 2], [13, 1]], 11/59904], [[[1, 7], [2, 2], [3, 3], [4, 5]], 1/11943936], [[[1, 7], [2, 2], [3, 3], [11, 1]], 1/12672], [[[1, 7], [2, 2], [3, 4], [4, 4]], 59/191102976], [[[1, 7], [2, 2], [3, 4], [5, 2]], 1/124416], [[[1, 7], [2, 2], [3, 4], [8, 2]], 1/1327104], [[[1, 7], [2, 2], [3, 5], [4, 3]], 11/44789760], [[[1, 7], [2, 2], [3, 5], [7, 1]], 1/435456], [[[1, 7], [2, 2], [3, 5], [9, 1]], 1/62208], [[[1, 7], [2, 2], [3, 5], [14, 1]], 1/1632960], [[[1, 7], [2, 2], [3, 6], [8, 1]], 1/5598720], [[[1, 7], [2, 2], [4, 2], [5, 3]], 17/614400], [[[1, 7], [2, 2], [4, 2], [7, 2]], 619/4816896], [[[1, 7], [2, 2], [4, 2], [8, 3]], 1/196608], [[[1, 7], [2, 2], [4, 2], [13, 1]], 29/212992], [[[1, 7], [2, 2], [4, 3], [11, 1]], 503/16220160], [[[1, 7], [2, 2], [4, 4], [5, 2]], 43/7372800], [[[1, 7], [2, 2], [4, 4], [8, 2]], 1/1572864], [[[1, 7], [2, 2], [4, 5], [7, 1]], 11/41287680], [[[1, 7], [2, 2], [4, 6], [5, 1]], 1/11796480], [[[1, 7], [2, 2], [4, 6], [8, 1]], 1/9437184], [[[1, 7], [2, 2], [5, 1], [7, 2]], 13/47040], [[[1, 7], [2, 2], [5, 1], [13, 1]], 1/2496], [[[1, 7], [2, 2], [5, 2], [8, 2]], 1/153600], [[[1, 7], [2, 2], [5, 3], [6, 2]], 1/864000], [[[1, 7], [2, 2], [5, 3], [8, 1]], 7/1152000], [[[1, 7], [2, 2], [5, 3], [10, 1]], 3/20000], [[[1, 7], [2, 2], [6, 2], [7, 2]], 1/225792], [[[1, 7], [2, 2], [6, 2], [13, 1]], 1/89856], [[[1, 7], [2, 2], [7, 1], [11, 1]], 5/14784], [[[1, 7], [2, 2], [7, 2], [8, 1]], 1/37632], [[[1, 7], [2, 2], [7, 2], [10, 1]], 1/62720], [[[1, 7], [2, 2], [8, 1], [13, 1]], 5/59904], [[[1, 7], [2, 2], [10, 1], [13, 1]], 1/24960], [[[1, 7], [2, 2], [11, 1], [14, 1]], 1/73920], [[[1, 7], [2, 4], [3, 1], [4, 6]], 73/28311552], [[[1, 7], [2, 4], [3, 1], [5, 3]], 109/6912000], [[[1, 7], [2, 4], [3, 1], [7, 2]], 71/1806336], [[[1, 7], [2, 4], [3, 1], [10, 3]], 1/34560000], [[[1, 7], [2, 4], [3, 1], [13, 1]], 1613/11501568], [[[1, 7], [2, 4], [3, 1], [14, 2]], 11/4515840], [[[1, 7], [2, 4], [3, 1], [26, 1]], 1/56160], [[[1, 7], [2, 4], [3, 2], [4, 5]], 55/10616832], [[[1, 7], [2, 4], [3, 2], [11, 1]], 61/608256], [[[1, 7], [2, 4], [3, 2], [22, 1]], 1/101376], [[[1, 7], [2, 4], [3, 3], [4, 4]], 277/95551488], [[[1, 7], [2, 4], [3, 3], [5, 2]], 53/8294400], [[[1, 7], [2, 4], [3, 3], [6, 4]], 1/248832], [[[1, 7], [2, 4], [3, 3], [8, 2]], 1/1990656], [[[1, 7], [2, 4], [3, 4], [4, 3]], 125/95551488], [[[1, 7], [2, 4], [3, 4], [6, 3]], 71/746496], [[[1, 7], [2, 4], [3, 4], [7, 1]], 7/1492992], [[[1, 7], [2, 4], [3, 4], [9, 1]], 43/1492992], [[[1, 7], [2, 4], [3, 4], [14, 1]], 1/290304], [[[1, 7], [2, 4], [3, 5], [4, 2]], 293/716636160], [[[1, 7], [2, 4], [3, 5], [5, 1]], 1/1866240], [[[1, 7], [2, 4], [3, 5], [6, 2]], 89/2799360], [[[1, 7], [2, 4], [3, 5], [8, 1]], 1/2799360], [[[1, 7], [2, 4], [3, 5], [10, 1]], 7/27993600], [[[1, 7], [2, 4], [3, 6], [4, 1]], 17/134369280], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/933120], [[[1, 7], [2, 4], [4, 1], [5, 3]], 691/13824000], [[[1, 7], [2, 4], [4, 1], [7, 2]], 37/258048], [[[1, 7], [2, 4], [4, 1], [8, 3]], 1/131072], [[[1, 7], [2, 4], [4, 1], [13, 1]], 115/359424], [[[1, 7], [2, 4], [4, 1], [14, 2]], 11/12042240], [[[1, 7], [2, 4], [4, 1], [26, 1]], 11/1597440], [[[1, 7], [2, 4], [4, 2], [11, 1]], 10163/32440320], [[[1, 7], [2, 4], [4, 2], [22, 1]], 49/10813440], [[[1, 7], [2, 4], [4, 3], [5, 2]], 553/7372800], [[[1, 7], [2, 4], [4, 3], [8, 2]], 2359/5898240], [[[1, 7], [2, 4], [4, 3], [10, 2]], 1/9830400], [[[1, 7], [2, 4], [4, 4], [7, 1]], 6259/99090432], [[[1, 7], [2, 4], [4, 4], [14, 1]], 1/5505024], [[[1, 7], [2, 4], [4, 5], [5, 1]], 19/1966080], [[[1, 7], [2, 4], [4, 5], [8, 1]], 485/18874368], [[[1, 7], [2, 4], [4, 5], [12, 1]], 7/884736], [[[1, 7], [2, 4], [5, 1], [11, 1]], 2269/16220160], [[[1, 7], [2, 4], [5, 1], [22, 1]], 1/84480], [[[1, 7], [2, 4], [5, 2], [7, 1]], 17/268800], [[[1, 7], [2, 4], [5, 2], [14, 1]], 1/33600], [[[1, 7], [2, 4], [5, 3], [6, 1]], 13/3456000], [[[1, 7], [2, 4], [6, 1], [7, 2]], 13/602112], [[[1, 7], [2, 4], [6, 1], [13, 1]], 5/55296], [[[1, 7], [2, 4], [6, 1], [26, 1]], 11/9584640], [[[1, 7], [2, 4], [6, 2], [11, 1]], 1/31680], [[[1, 7], [2, 4], [7, 1], [8, 2]], 1/294912], [[[1, 7], [2, 4], [8, 1], [11, 1]], 1/11520], [[[1, 7], [2, 4], [10, 1], [11, 1]], 71/633600], [[[1, 7], [2, 4], [10, 1], [22, 1]], 1/1228800], [[[1, 7], [2, 6], [3, 1], [4, 5]], 877/56623104], [[[1, 7], [2, 6], [3, 1], [6, 5]], 1/1343692800], [[[1, 7], [2, 6], [3, 1], [11, 1]], 929/32440320], [[[1, 7], [2, 6], [3, 1], [22, 1]], 1561/60825600], [[[1, 7], [2, 6], [3, 2], [4, 4]], 10571/849346560], [[[1, 7], [2, 6], [3, 2], [5, 2]], 661/663552000], [[[1, 7], [2, 6], [3, 2], [6, 4]], 1847/89579520], [[[1, 7], [2, 6], [3, 2], [8, 2]], 1/17694720], [[[1, 7], [2, 6], [3, 2], [10, 2]], 1/460800], [[[1, 7], [2, 6], [3, 3], [4, 3]], 25/5971968], [[[1, 7], [2, 6], [3, 3], [6, 3]], 71/373248], [[[1, 7], [2, 6], [3, 3], [7, 1]], 1261/836075520], [[[1, 7], [2, 6], [3, 3], [9, 1]], 1321/119439360], [[[1, 7], [2, 6], [3, 3], [14, 1]], 1/435456], [[[1, 7], [2, 6], [3, 4], [4, 2]], 2759/1911029760], [[[1, 7], [2, 6], [3, 4], [5, 1]], 1/14929920], [[[1, 7], [2, 6], [3, 4], [6, 2]], 1157/17915904], [[[1, 7], [2, 6], [3, 4], [8, 1]], 1/23887872], [[[1, 7], [2, 6], [3, 4], [10, 1]], 1/1658880], [[[1, 7], [2, 6], [3, 5], [4, 1]], 43/895795200], [[[1, 7], [2, 6], [3, 5], [6, 1]], 73/49766400], [[[1, 7], [2, 6], [4, 1], [11, 1]], 11003/108134400], [[[1, 7], [2, 6], [4, 1], [22, 1]], 377/10813440], [[[1, 7], [2, 6], [4, 2], [5, 2]], 2087/49152000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 49/1911029760], [[[1, 7], [2, 6], [4, 2], [8, 2]], 3089/18874368], [[[1, 7], [2, 6], [4, 2], [10, 2]], 253/36864000], [[[1, 7], [2, 6], [4, 3], [6, 3]], 13/31850496], [[[1, 7], [2, 6], [4, 3], [7, 1]], 7751/82575360], [[[1, 7], [2, 6], [4, 3], [14, 1]], 2231/82575360], [[[1, 7], [2, 6], [4, 4], [5, 1]], 9991/235929600], [[[1, 7], [2, 6], [4, 4], [6, 2]], 49/42467328], [[[1, 7], [2, 6], [4, 4], [8, 1]], 197/786432], [[[1, 7], [2, 6], [4, 4], [10, 1]], 1/92160], [[[1, 7], [2, 6], [4, 4], [12, 1]], 11/589824], [[[1, 7], [2, 6], [4, 5], [6, 1]], 23/9437184], [[[1, 7], [2, 6], [5, 1], [6, 4]], 1/14929920], [[[1, 7], [2, 6], [5, 1], [8, 2]], 1/4915200], [[[1, 7], [2, 6], [5, 1], [10, 2]], 10639/110592000], [[[1, 7], [2, 6], [5, 2], [6, 2]], 13/2764800], [[[1, 7], [2, 6], [5, 2], [8, 1]], 1/368640], [[[1, 7], [2, 6], [5, 2], [10, 1]], 9617/73728000], [[[1, 7], [2, 6], [6, 1], [11, 1]], 29/614400], [[[1, 7], [2, 6], [6, 1], [22, 1]], 137/24330240], [[[1, 7], [2, 6], [6, 2], [10, 2]], 11/221184000], [[[1, 7], [2, 6], [6, 3], [14, 1]], 11/278691840], [[[1, 7], [2, 6], [6, 3], [18, 1]], 31/39813120], [[[1, 7], [2, 6], [7, 1], [14, 1]], 8473/96337920], [[[1, 7], [2, 6], [8, 1], [10, 2]], 1/3686400], [[[1, 7], [2, 8], [3, 1], [4, 4]], 1213/94371840], [[[1, 7], [2, 8], [3, 1], [5, 2]], 1223/6193152000], [[[1, 7], [2, 8], [3, 1], [6, 4]], 859/214990848], [[[1, 7], [2, 8], [3, 1], [10, 2]], 1579/414720000], [[[1, 7], [2, 8], [3, 2], [4, 3]], 67/11796480], [[[1, 7], [2, 8], [3, 2], [6, 3]], 37165/573308928], [[[1, 7], [2, 8], [3, 2], [7, 1]], 167/578027520], [[[1, 7], [2, 8], [3, 2], [9, 1]], 179/99090432], [[[1, 7], [2, 8], [3, 2], [14, 1]], 41/15482880], [[[1, 7], [2, 8], [3, 3], [4, 2]], 347/955514880], [[[1, 7], [2, 8], [3, 3], [5, 1]], 109/3715891200], [[[1, 7], [2, 8], [3, 3], [6, 2]], 47341/1433272320], [[[1, 7], [2, 8], [3, 3], [10, 1]], 1/7464960], [[[1, 7], [2, 8], [3, 4], [4, 1]], 11/637009920], [[[1, 7], [2, 8], [3, 4], [6, 1]], 73/358318080], [[[1, 7], [2, 8], [4, 1], [5, 2]], 97/49152000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 1153/1911029760], [[[1, 7], [2, 8], [4, 1], [8, 2]], 61/5898240], [[[1, 7], [2, 8], [4, 1], [10, 2]], 3989/353894400], [[[1, 7], [2, 8], [4, 2], [6, 3]], 911/159252480], [[[1, 7], [2, 8], [4, 2], [7, 1]], 21341/990904320], [[[1, 7], [2, 8], [4, 2], [14, 1]], 247459/4954521600], [[[1, 7], [2, 8], [4, 3], [5, 1]], 3617/176947200], [[[1, 7], [2, 8], [4, 3], [6, 2]], 287/14155776], [[[1, 7], [2, 8], [4, 3], [8, 1]], 31801/188743680], [[[1, 7], [2, 8], [4, 3], [10, 1]], 533/11059200], [[[1, 7], [2, 8], [4, 3], [12, 1]], 49/8847360], [[[1, 7], [2, 8], [4, 4], [6, 1]], 54167/1698693120], [[[1, 7], [2, 8], [5, 1], [6, 3]], 1/933120], [[[1, 7], [2, 8], [5, 1], [7, 1]], 1387/1156055040], [[[1, 7], [2, 8], [5, 1], [14, 1]], 317/38707200], [[[1, 7], [2, 8], [5, 2], [6, 1]], 77/55296000], [[[1, 7], [2, 8], [6, 1], [8, 2]], 1/35389440], [[[1, 7], [2, 8], [6, 1], [10, 2]], 59/27648000], [[[1, 7], [2, 8], [6, 2], [7, 1]], 137/46448640], [[[1, 7], [2, 8], [6, 2], [14, 1]], 143/46448640], [[[1, 7], [2, 8], [6, 2], [18, 1]], 2651/318504960], [[[1, 7], [2, 8], [6, 3], [8, 1]], 19/119439360], [[[1, 7], [2, 8], [6, 3], [10, 1]], 287/597196800], [[[1, 7], [2, 8], [7, 1], [8, 1]], 1/4128768], [[[1, 7], [2, 8], [7, 1], [10, 1]], 221/38707200], [[[1, 7], [2, 8], [8, 1], [14, 1]], 25/12386304], [[[1, 7], [2, 8], [10, 1], [14, 1]], 2011/412876800], [[[1, 7], [2, 10], [3, 1], [4, 3]], 7313/1698693120], [[[1, 7], [2, 10], [3, 1], [6, 3]], 12648689/1203948748800], [[[1, 7], [2, 10], [3, 1], [7, 1]], 137/2601123840], [[[1, 7], [2, 10], [3, 1], [9, 1]], 2453/22295347200], [[[1, 7], [2, 10], [3, 1], [14, 1]], 130001/58525286400], [[[1, 7], [2, 10], [3, 2], [4, 2]], 20387/23781703680], [[[1, 7], [2, 10], [3, 2], [5, 1]], 173/44590694400], [[[1, 7], [2, 10], [3, 2], [6, 2]], 9059653/535088332800], [[[1, 7], [2, 10], [3, 2], [10, 1]], 59/154828800], [[[1, 7], [2, 10], [3, 3], [4, 1]], 43/20065812480], [[[1, 7], [2, 10], [3, 3], [6, 1]], 112897/160526499840], [[[1, 7], [2, 10], [4, 1], [6, 3]], 15473/3185049600], [[[1, 7], [2, 10], [4, 1], [7, 1]], 20537/23121100800], [[[1, 7], [2, 10], [4, 1], [14, 1]], 1102183/104044953600], [[[1, 7], [2, 10], [4, 2], [5, 1]], 67511/19818086400], [[[1, 7], [2, 10], [4, 2], [6, 2]], 244319/12740198400], [[[1, 7], [2, 10], [4, 2], [8, 1]], 293893/11324620800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 13249/589824000], [[[1, 7], [2, 10], [4, 2], [12, 1]], 95/148635648], [[[1, 7], [2, 10], [4, 3], [6, 1]], 535733/19818086400], [[[1, 7], [2, 10], [5, 1], [6, 2]], 1/884736], [[[1, 7], [2, 10], [5, 1], [10, 1]], 469/66355200], [[[1, 7], [2, 10], [6, 1], [7, 1]], 211/371589120], [[[1, 7], [2, 10], [6, 1], [14, 1]], 1129/265420800], [[[1, 7], [2, 10], [6, 1], [18, 1]], 28753/11147673600], [[[1, 7], [2, 10], [6, 2], [8, 1]], 43/79626240], [[[1, 7], [2, 10], [6, 2], [10, 1]], 49541/15925248000], [[[1, 7], [2, 10], [8, 1], [10, 1]], 29/44236800], [[[1, 7], [2, 12], [3, 1], [4, 2]], 118757/237817036800], [[[1, 7], [2, 12], [3, 1], [5, 1]], 2417/594542592000], [[[1, 7], [2, 12], [3, 1], [6, 2]], 8011261/3009871872000], [[[1, 7], [2, 12], [3, 1], [8, 1]], 7/1061683200], [[[1, 7], [2, 12], [3, 1], [10, 1]], 271157/1149603840000], [[[1, 7], [2, 12], [3, 2], [4, 1]], 12113/267544166400], [[[1, 7], [2, 12], [3, 2], [6, 1]], 706247/2006581248000], [[[1, 7], [2, 12], [4, 1], [5, 1]], 75409/445906944000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 7223/2229534720], [[[1, 7], [2, 12], [4, 1], [8, 1]], 154247/158544691200], [[[1, 7], [2, 12], [4, 1], [10, 1]], 105037/44590694400], [[[1, 7], [2, 12], [4, 1], [12, 1]], 7/530841600], [[[1, 7], [2, 12], [4, 2], [6, 1]], 6014143/1070176665600], [[[1, 7], [2, 12], [5, 1], [6, 1]], 20789/167215104000], [[[1, 7], [2, 12], [6, 1], [8, 1]], 2477/22295347200], [[[1, 7], [2, 12], [6, 1], [10, 1]], 548341/445906944000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 1375697/78479622144000], [[[1, 7], [2, 14], [3, 1], [6, 1]], 227292049/2504213397504000], [[[1, 7], [2, 14], [4, 1], [6, 1]], 1718819/5350883328000], [[[1, 7], [3, 1], [4, 2], [5, 3]], 1/576000], [[[1, 7], [3, 1], [4, 2], [7, 2]], 1/150528], [[[1, 7], [3, 1], [4, 2], [13, 1]], 17/958464], [[[1, 7], [3, 1], [4, 4], [5, 2]], 1/11059200], [[[1, 7], [3, 1], [5, 1], [7, 2]], 1/4704], [[[1, 7], [3, 1], [5, 1], [13, 1]], 1/7488], [[[1, 7], [3, 1], [5, 2], [8, 2]], 1/230400], [[[1, 7], [3, 1], [5, 2], [15, 1]], 1/14400], [[[1, 7], [3, 1], [7, 1], [11, 1]], 1/3696], [[[1, 7], [3, 2], [4, 2], [11, 1]], 1/50688], [[[1, 7], [3, 2], [4, 4], [7, 1]], 1/9289728], [[[1, 7], [3, 2], [4, 4], [9, 1]], 1/7962624], [[[1, 7], [3, 2], [5, 1], [11, 1]], 1/7040], [[[1, 7], [3, 2], [5, 2], [7, 1]], 1/10080], [[[1, 7], [3, 2], [5, 2], [9, 1]], 1/10800], [[[1, 7], [3, 2], [7, 1], [8, 2]], 1/193536], [[[1, 7], [3, 2], [8, 2], [9, 1]], 1/165888], [[[1, 7], [3, 3], [4, 2], [5, 2]], 1/691200], [[[1, 7], [3, 3], [4, 4], [5, 1]], 1/19906560], [[[1, 7], [3, 3], [5, 1], [8, 2]], 1/414720], [[[1, 7], [3, 3], [5, 1], [15, 1]], 1/17280], [[[1, 7], [3, 3], [7, 1], [9, 1]], 1/8064], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/870912], [[[1, 7], [3, 4], [4, 2], [9, 1]], 1/124416], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/136080], [[[1, 7], [3, 4], [5, 1], [9, 1]], 1/19440], [[[1, 7], [3, 5], [4, 2], [12, 1]], 1/2799360], [[[1, 7], [4, 1], [5, 3], [8, 1]], 1/384000], [[[1, 7], [4, 1], [7, 2], [8, 1]], 1/100352], [[[1, 7], [4, 1], [8, 1], [13, 1]], 1/39936], [[[1, 7], [4, 2], [5, 1], [11, 1]], 1/1351680], [[[1, 7], [4, 2], [11, 1], [12, 1]], 1/126720], [[[1, 7], [4, 4], [5, 1], [7, 1]], 1/10321920], [[[1, 7], [5, 1], [7, 1], [8, 2]], 1/215040], [[[1, 8], [2, 1], [3, 2], [5, 3]], 7/144000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 19/169344], [[[1, 8], [2, 1], [3, 2], [13, 1]], 47/599040], [[[1, 8], [2, 1], [3, 3], [4, 5]], 1/47775744], [[[1, 8], [2, 1], [3, 3], [11, 1]], 1/19008], [[[1, 8], [2, 1], [3, 4], [4, 4]], 7/573308928], [[[1, 8], [2, 1], [3, 4], [5, 2]], 41/3110400], [[[1, 8], [2, 1], [3, 4], [8, 2]], 7/11943936], [[[1, 8], [2, 1], [3, 5], [4, 3]], 11/44789760], [[[1, 8], [2, 1], [3, 5], [7, 1]], 19/6531840], [[[1, 8], [2, 1], [3, 5], [9, 1]], 1/62208], [[[1, 8], [2, 1], [3, 6], [4, 2]], 1/22394880], [[[1, 8], [2, 1], [3, 6], [5, 1]], 1/3499200], [[[1, 8], [2, 1], [3, 6], [8, 1]], 1/5598720], [[[1, 8], [2, 1], [4, 2], [5, 3]], 13/18432000], [[[1, 8], [2, 1], [4, 2], [7, 2]], 1/344064], [[[1, 8], [2, 1], [4, 2], [13, 1]], 1/119808], [[[1, 8], [2, 1], [4, 3], [11, 1]], 43/16220160], [[[1, 8], [2, 1], [4, 4], [5, 2]], 1/27648000], [[[1, 8], [2, 1], [4, 5], [7, 1]], 1/41287680], [[[1, 8], [2, 1], [5, 1], [7, 2]], 3/15680], [[[1, 8], [2, 1], [5, 1], [13, 1]], 1/7488], [[[1, 8], [2, 1], [5, 2], [8, 2]], 1/576000], [[[1, 8], [2, 1], [5, 3], [8, 1]], 1/1152000], [[[1, 8], [2, 1], [5, 3], [10, 1]], 1/48000], [[[1, 8], [2, 1], [7, 1], [11, 1]], 1/6720], [[[1, 8], [2, 1], [7, 2], [8, 1]], 1/301056], [[[1, 8], [2, 1], [8, 1], [13, 1]], 1/119808], [[[1, 8], [2, 3], [3, 1], [4, 6]], 11/141557760], [[[1, 8], [2, 3], [3, 1], [5, 3]], 181/3456000], [[[1, 8], [2, 3], [3, 1], [7, 2]], 43/451584], [[[1, 8], [2, 3], [3, 1], [13, 1]], 1127/9584640], [[[1, 8], [2, 3], [3, 1], [14, 2]], 1/9031680], [[[1, 8], [2, 3], [3, 1], [26, 1]], 1/1198080], [[[1, 8], [2, 3], [3, 2], [4, 5]], 17/5308416], [[[1, 8], [2, 3], [3, 2], [11, 1]], 31/253440], [[[1, 8], [2, 3], [3, 3], [4, 4]], 221/47775744], [[[1, 8], [2, 3], [3, 3], [5, 2]], 133/4147200], [[[1, 8], [2, 3], [3, 3], [8, 2]], 1/995328], [[[1, 8], [2, 3], [3, 4], [4, 3]], 83/31850496], [[[1, 8], [2, 3], [3, 4], [6, 3]], 7/279936], [[[1, 8], [2, 3], [3, 4], [7, 1]], 79/5225472], [[[1, 8], [2, 3], [3, 4], [9, 1]], 41/746496], [[[1, 8], [2, 3], [3, 4], [14, 1]], 1/373248], [[[1, 8], [2, 3], [3, 5], [4, 2]], 187/119439360], [[[1, 8], [2, 3], [3, 5], [5, 1]], 13/4665600], [[[1, 8], [2, 3], [3, 5], [6, 2]], 89/2799360], [[[1, 8], [2, 3], [3, 5], [8, 1]], 13/11197440], [[[1, 8], [2, 3], [3, 5], [10, 1]], 1/3110400], [[[1, 8], [2, 3], [3, 6], [4, 1]], 59/134369280], [[[1, 8], [2, 3], [3, 6], [6, 1]], 7/2099520], [[[1, 8], [2, 3], [4, 1], [5, 3]], 167/2764800], [[[1, 8], [2, 3], [4, 1], [7, 2]], 6403/36126720], [[[1, 8], [2, 3], [4, 1], [8, 3]], 17/5898240], [[[1, 8], [2, 3], [4, 1], [13, 1]], 193/1105920], [[[1, 8], [2, 3], [4, 2], [11, 1]], 1483/10813440], [[[1, 8], [2, 3], [4, 3], [5, 2]], 1009/29491200], [[[1, 8], [2, 3], [4, 3], [8, 2]], 197/2949120], [[[1, 8], [2, 3], [4, 4], [7, 1]], 1223/123863040], [[[1, 8], [2, 3], [4, 5], [5, 1]], 73/29491200], [[[1, 8], [2, 3], [4, 5], [8, 1]], 947/283115520], [[[1, 8], [2, 3], [4, 5], [12, 1]], 1/884736], [[[1, 8], [2, 3], [5, 1], [11, 1]], 6517/40550400], [[[1, 8], [2, 3], [5, 2], [7, 1]], 17/134400], [[[1, 8], [2, 3], [5, 2], [14, 1]], 1/126000], [[[1, 8], [2, 3], [5, 3], [6, 1]], 13/6912000], [[[1, 8], [2, 3], [6, 1], [7, 2]], 1/129024], [[[1, 8], [2, 3], [6, 1], [13, 1]], 1/44928], [[[1, 8], [2, 3], [6, 1], [26, 1]], 19/268369920], [[[1, 8], [2, 3], [6, 2], [11, 1]], 13/1520640], [[[1, 8], [2, 3], [7, 1], [8, 2]], 13/5160960], [[[1, 8], [2, 3], [8, 1], [11, 1]], 23/506880], [[[1, 8], [2, 3], [10, 1], [11, 1]], 13/422400], [[[1, 8], [2, 3], [10, 1], [22, 1]], 19/378470400], [[[1, 8], [2, 5], [3, 1], [4, 5]], 2827/169869312], [[[1, 8], [2, 5], [3, 1], [11, 1]], 2869/48660480], [[[1, 8], [2, 5], [3, 1], [22, 1]], 13/2433024], [[[1, 8], [2, 5], [3, 2], [4, 4]], 12223/424673280], [[[1, 8], [2, 5], [3, 2], [5, 2]], 1183/88473600], [[[1, 8], [2, 5], [3, 2], [6, 4]], 407/89579520], [[[1, 8], [2, 5], [3, 2], [8, 2]], 1/2949120], [[[1, 8], [2, 5], [3, 2], [10, 2]], 1/2764800], [[[1, 8], [2, 5], [3, 3], [4, 3]], 1967/95551488], [[[1, 8], [2, 5], [3, 3], [6, 3]], 563/4976640], [[[1, 8], [2, 5], [3, 3], [7, 1]], 3805/334430208], [[[1, 8], [2, 5], [3, 3], [9, 1]], 599/15925248], [[[1, 8], [2, 5], [3, 3], [14, 1]], 1/217728], [[[1, 8], [2, 5], [3, 4], [4, 2]], 7937/1146617856], [[[1, 8], [2, 5], [3, 4], [5, 1]], 7/2985984], [[[1, 8], [2, 5], [3, 4], [6, 2]], 5719/53747712], [[[1, 8], [2, 5], [3, 4], [8, 1]], 25/23887872], [[[1, 8], [2, 5], [3, 4], [10, 1]], 7/4478976], [[[1, 8], [2, 5], [3, 5], [4, 1]], 1063/895795200], [[[1, 8], [2, 5], [3, 5], [6, 1]], 7/829440], [[[1, 8], [2, 5], [4, 1], [11, 1]], 128587/973209600], [[[1, 8], [2, 5], [4, 1], [22, 1]], 1/327680], [[[1, 8], [2, 5], [4, 2], [5, 2]], 20359/221184000], [[[1, 8], [2, 5], [4, 2], [8, 2]], 5959/47185920], [[[1, 8], [2, 5], [4, 2], [10, 2]], 137/294912000], [[[1, 8], [2, 5], [4, 3], [7, 1]], 29839/247726080], [[[1, 8], [2, 5], [4, 3], [14, 1]], 241/82575360], [[[1, 8], [2, 5], [4, 4], [5, 1]], 4381/88473600], [[[1, 8], [2, 5], [4, 4], [6, 2]], 1/28311552], [[[1, 8], [2, 5], [4, 4], [8, 1]], 6611/47185920], [[[1, 8], [2, 5], [4, 4], [10, 1]], 23/4718592], [[[1, 8], [2, 5], [4, 4], [12, 1]], 23/1769472], [[[1, 8], [2, 5], [4, 5], [6, 1]], 1/3145728], [[[1, 8], [2, 5], [5, 1], [8, 2]], 1/1843200], [[[1, 8], [2, 5], [5, 1], [10, 2]], 4579/110592000], [[[1, 8], [2, 5], [5, 2], [6, 2]], 49/10368000], [[[1, 8], [2, 5], [5, 2], [8, 1]], 29/3686400], [[[1, 8], [2, 5], [5, 2], [10, 1]], 142367/1105920000], [[[1, 8], [2, 5], [6, 1], [11, 1]], 43/1105920], [[[1, 8], [2, 5], [6, 1], [22, 1]], 109/151388160], [[[1, 8], [2, 5], [6, 2], [10, 2]], 19/6193152000], [[[1, 8], [2, 5], [6, 3], [14, 1]], 19/7803371520], [[[1, 8], [2, 5], [6, 3], [18, 1]], 19/1114767360], [[[1, 8], [2, 5], [7, 1], [14, 1]], 14353/289013760], [[[1, 8], [2, 7], [3, 1], [4, 4]], 54167/1698693120], [[[1, 8], [2, 7], [3, 1], [5, 2]], 59/27648000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 73/358318080], [[[1, 8], [2, 7], [3, 1], [8, 2]], 1/35389440], [[[1, 8], [2, 7], [3, 1], [10, 2]], 77/55296000], [[[1, 8], [2, 7], [3, 2], [4, 3]], 287/14155776], [[[1, 8], [2, 7], [3, 2], [6, 3]], 47341/1433272320], [[[1, 8], [2, 7], [3, 2], [7, 1]], 143/46448640], [[[1, 8], [2, 7], [3, 2], [9, 1]], 2651/318504960], [[[1, 8], [2, 7], [3, 2], [14, 1]], 137/46448640], [[[1, 8], [2, 7], [3, 3], [4, 2]], 911/159252480], [[[1, 8], [2, 7], [3, 3], [5, 1]], 287/597196800], [[[1, 8], [2, 7], [3, 3], [6, 2]], 37165/573308928], [[[1, 8], [2, 7], [3, 3], [8, 1]], 19/119439360], [[[1, 8], [2, 7], [3, 3], [10, 1]], 1/933120], [[[1, 8], [2, 7], [3, 4], [4, 1]], 1153/1911029760], [[[1, 8], [2, 7], [3, 4], [6, 1]], 859/214990848], [[[1, 8], [2, 7], [4, 1], [5, 2]], 3989/353894400], [[[1, 8], [2, 7], [4, 1], [6, 4]], 11/637009920], [[[1, 8], [2, 7], [4, 1], [8, 2]], 61/5898240], [[[1, 8], [2, 7], [4, 1], [10, 2]], 97/49152000], [[[1, 8], [2, 7], [4, 2], [6, 3]], 347/955514880], [[[1, 8], [2, 7], [4, 2], [7, 1]], 247459/4954521600], [[[1, 8], [2, 7], [4, 2], [14, 1]], 21341/990904320], [[[1, 8], [2, 7], [4, 3], [5, 1]], 533/11059200], [[[1, 8], [2, 7], [4, 3], [6, 2]], 67/11796480], [[[1, 8], [2, 7], [4, 3], [8, 1]], 31801/188743680], [[[1, 8], [2, 7], [4, 3], [10, 1]], 3617/176947200], [[[1, 8], [2, 7], [4, 3], [12, 1]], 49/8847360], [[[1, 8], [2, 7], [4, 4], [6, 1]], 1213/94371840], [[[1, 8], [2, 7], [5, 1], [6, 3]], 1/7464960], [[[1, 8], [2, 7], [5, 1], [7, 1]], 2011/412876800], [[[1, 8], [2, 7], [5, 1], [14, 1]], 221/38707200], [[[1, 8], [2, 7], [5, 2], [6, 1]], 1579/414720000], [[[1, 8], [2, 7], [6, 1], [10, 2]], 1223/6193152000], [[[1, 8], [2, 7], [6, 2], [7, 1]], 41/15482880], [[[1, 8], [2, 7], [6, 2], [14, 1]], 167/578027520], [[[1, 8], [2, 7], [6, 2], [18, 1]], 179/99090432], [[[1, 8], [2, 7], [6, 3], [10, 1]], 109/3715891200], [[[1, 8], [2, 7], [7, 1], [8, 1]], 25/12386304], [[[1, 8], [2, 7], [7, 1], [10, 1]], 317/38707200], [[[1, 8], [2, 7], [8, 1], [14, 1]], 1/4128768], [[[1, 8], [2, 7], [10, 1], [14, 1]], 1387/1156055040], [[[1, 8], [2, 9], [3, 1], [4, 3]], 19489/1698693120], [[[1, 8], [2, 9], [3, 1], [6, 3]], 288287/57330892800], [[[1, 8], [2, 9], [3, 1], [7, 1]], 8191/19508428800], [[[1, 8], [2, 9], [3, 1], [9, 1]], 315179/468202291200], [[[1, 8], [2, 9], [3, 1], [14, 1]], 1801/812851200], [[[1, 8], [2, 9], [3, 2], [4, 2]], 475/169869312], [[[1, 8], [2, 9], [3, 2], [5, 1]], 18631/222953472000], [[[1, 8], [2, 9], [3, 2], [6, 2]], 1417733/66886041600], [[[1, 8], [2, 9], [3, 2], [8, 1]], 1/106168320], [[[1, 8], [2, 9], [3, 2], [10, 1]], 19/33177600], [[[1, 8], [2, 9], [3, 3], [4, 1]], 2567/26754416640], [[[1, 8], [2, 9], [3, 3], [6, 1]], 54371/32105299968], [[[1, 8], [2, 9], [4, 1], [6, 3]], 13/9953280], [[[1, 8], [2, 9], [4, 1], [7, 1]], 228817/69363302400], [[[1, 8], [2, 9], [4, 1], [14, 1]], 36973/4954521600], [[[1, 8], [2, 9], [4, 2], [5, 1]], 611/70778880], [[[1, 8], [2, 9], [4, 2], [6, 2]], 5891/637009920], [[[1, 8], [2, 9], [4, 2], [8, 1]], 22651/707788800], [[[1, 8], [2, 9], [4, 2], [10, 1]], 59777/3538944000], [[[1, 8], [2, 9], [4, 2], [12, 1]], 229/495452160], [[[1, 8], [2, 9], [4, 3], [6, 1]], 184097/8493465600], [[[1, 8], [2, 9], [5, 1], [6, 2]], 23/24883200], [[[1, 8], [2, 9], [5, 1], [8, 1]], 1/29491200], [[[1, 8], [2, 9], [5, 1], [10, 1]], 153899/16515072000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 13/9676800], [[[1, 8], [2, 9], [6, 1], [14, 1]], 195809/104044953600], [[[1, 8], [2, 9], [6, 1], [18, 1]], 568517/312134860800], [[[1, 8], [2, 9], [6, 2], [8, 1]], 1/6635520], [[[1, 8], [2, 9], [6, 2], [10, 1]], 6551/8257536000], [[[1, 8], [2, 9], [8, 1], [10, 1]], 13/44236800], [[[1, 8], [2, 11], [3, 1], [4, 2]], 117179/79272345600], [[[1, 8], [2, 11], [3, 1], [5, 1]], 223/11010048000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 13219/4180377600], [[[1, 8], [2, 11], [3, 1], [8, 1]], 13/1486356480], [[[1, 8], [2, 11], [3, 1], [10, 1]], 33107/83607552000], [[[1, 8], [2, 11], [3, 2], [4, 1]], 12161/89181388800], [[[1, 8], [2, 11], [3, 2], [6, 1]], 1822607/2006581248000], [[[1, 8], [2, 11], [4, 1], [5, 1]], 14237/29727129600], [[[1, 8], [2, 11], [4, 1], [6, 2]], 209/78643200], [[[1, 8], [2, 11], [4, 1], [8, 1]], 51631/31708938240], [[[1, 8], [2, 11], [4, 1], [10, 1]], 195227/74317824000], [[[1, 8], [2, 11], [4, 1], [12, 1]], 13/743178240], [[[1, 8], [2, 11], [4, 2], [6, 1]], 608651/89181388800], [[[1, 8], [2, 11], [5, 1], [6, 1]], 3317/13934592000], [[[1, 8], [2, 11], [6, 1], [8, 1]], 167/1486356480], [[[1, 8], [2, 11], [6, 1], [10, 1]], 1309151/1387266048000], [[[1, 8], [2, 13], [3, 1], [4, 1]], 50253101/706316599296000], [[[1, 8], [2, 13], [3, 1], [6, 1]], 158039011/706316599296000], [[[1, 8], [2, 13], [4, 1], [6, 1]], 207833/356725555200], [[[1, 9], [2, 2], [3, 1], [4, 6]], 1/141557760], [[[1, 9], [2, 2], [3, 1], [5, 3]], 59/1152000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 751/9031680], [[[1, 9], [2, 2], [3, 1], [13, 1]], 419/9584640], [[[1, 9], [2, 2], [3, 2], [4, 5]], 1/39813120], [[[1, 9], [2, 2], [3, 2], [11, 1]], 23/337920], [[[1, 9], [2, 2], [3, 3], [4, 4]], 413/238878720], [[[1, 9], [2, 2], [3, 3], [5, 2]], 539/12441600], [[[1, 9], [2, 2], [3, 3], [8, 2]], 1/1658880], [[[1, 9], [2, 2], [3, 4], [4, 3]], 1003/573308928], [[[1, 9], [2, 2], [3, 4], [7, 1]], 11/580608], [[[1, 9], [2, 2], [3, 4], [9, 1]], 11/248832], [[[1, 9], [2, 2], [3, 4], [14, 1]], 1/2612736], [[[1, 9], [2, 2], [3, 5], [4, 2]], 167/119439360], [[[1, 9], [2, 2], [3, 5], [5, 1]], 1/194400], [[[1, 9], [2, 2], [3, 5], [6, 2]], 79/8398080], [[[1, 9], [2, 2], [3, 5], [8, 1]], 7/7464960], [[[1, 9], [2, 2], [3, 5], [10, 1]], 1/9331200], [[[1, 9], [2, 2], [3, 6], [4, 1]], 29/44789760], [[[1, 9], [2, 2], [3, 6], [6, 1]], 7/2099520], [[[1, 9], [2, 2], [4, 1], [5, 3]], 413/15360000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 433/6021120], [[[1, 9], [2, 2], [4, 1], [8, 3]], 29/82575360], [[[1, 9], [2, 2], [4, 1], [13, 1]], 23/599040], [[[1, 9], [2, 2], [4, 2], [11, 1]], 499/32440320], [[[1, 9], [2, 2], [4, 3], [5, 2]], 539/221184000], [[[1, 9], [2, 2], [4, 3], [8, 2]], 1/393216], [[[1, 9], [2, 2], [4, 4], [7, 1]], 757/867041280], [[[1, 9], [2, 2], [4, 5], [5, 1]], 11/619315200], [[[1, 9], [2, 2], [4, 5], [8, 1]], 29/3963617280], [[[1, 9], [2, 2], [5, 1], [11, 1]], 3041/40550400], [[[1, 9], [2, 2], [5, 2], [7, 1]], 13/134400], [[[1, 9], [2, 2], [5, 2], [14, 1]], 1/2016000], [[[1, 9], [2, 2], [5, 3], [6, 1]], 1/6912000], [[[1, 9], [2, 2], [6, 1], [7, 2]], 1/1806336], [[[1, 9], [2, 2], [6, 1], [13, 1]], 1/718848], [[[1, 9], [2, 2], [6, 1], [26, 1]], 1/805109760], [[[1, 9], [2, 2], [6, 2], [11, 1]], 1/1520640], [[[1, 9], [2, 2], [7, 1], [8, 2]], 23/36126720], [[[1, 9], [2, 2], [8, 1], [11, 1]], 17/2027520], [[[1, 9], [2, 2], [10, 1], [11, 1]], 1/422400], [[[1, 9], [2, 2], [10, 1], [22, 1]], 1/1135411200], [[[1, 9], [2, 4], [3, 1], [4, 5]], 97/26542080], [[[1, 9], [2, 4], [3, 1], [11, 1]], 5491/97320960], [[[1, 9], [2, 4], [3, 1], [22, 1]], 1/4055040], [[[1, 9], [2, 4], [3, 2], [4, 4]], 10043/509607936], [[[1, 9], [2, 4], [3, 2], [5, 2]], 3487/88473600], [[[1, 9], [2, 4], [3, 2], [6, 4]], 1/1990656], [[[1, 9], [2, 4], [3, 2], [8, 2]], 5/10616832], [[[1, 9], [2, 4], [3, 3], [4, 3]], 325/11943936], [[[1, 9], [2, 4], [3, 3], [6, 3]], 163/4976640], [[[1, 9], [2, 4], [3, 3], [7, 1]], 1291/47775744], [[[1, 9], [2, 4], [3, 3], [9, 1]], 1409/26542080], [[[1, 9], [2, 4], [3, 3], [14, 1]], 1/362880], [[[1, 9], [2, 4], [3, 4], [4, 2]], 17267/1146617856], [[[1, 9], [2, 4], [3, 4], [5, 1]], 17/1866240], [[[1, 9], [2, 4], [3, 4], [6, 2]], 1471/17915904], [[[1, 9], [2, 4], [3, 4], [8, 1]], 5/2239488], [[[1, 9], [2, 4], [3, 4], [10, 1]], 7/4478976], [[[1, 9], [2, 4], [3, 5], [4, 1]], 17/4478976], [[[1, 9], [2, 4], [3, 5], [6, 1]], 2173/134369280], [[[1, 9], [2, 4], [4, 1], [11, 1]], 8321/97320960], [[[1, 9], [2, 4], [4, 1], [22, 1]], 19/302776320], [[[1, 9], [2, 4], [4, 2], [5, 2]], 17119/221184000], [[[1, 9], [2, 4], [4, 2], [8, 2]], 311/7340032], [[[1, 9], [2, 4], [4, 3], [7, 1]], 14353/247726080], [[[1, 9], [2, 4], [4, 4], [5, 1]], 10573/707788800], [[[1, 9], [2, 4], [4, 4], [8, 1]], 3481/141557760], [[[1, 9], [2, 4], [4, 4], [10, 1]], 1/1474560], [[[1, 9], [2, 4], [4, 4], [12, 1]], 1/327680], [[[1, 9], [2, 4], [5, 1], [8, 2]], 7/14745600], [[[1, 9], [2, 4], [5, 1], [10, 2]], 2707/344064000], [[[1, 9], [2, 4], [5, 2], [6, 2]], 31/13824000], [[[1, 9], [2, 4], [5, 2], [8, 1]], 109/13824000], [[[1, 9], [2, 4], [5, 2], [10, 1]], 45787/552960000], [[[1, 9], [2, 4], [6, 1], [11, 1]], 19/1351680], [[[1, 9], [2, 4], [6, 1], [22, 1]], 29/681246720], [[[1, 9], [2, 4], [6, 2], [10, 2]], 1/18579456000], [[[1, 9], [2, 4], [6, 3], [14, 1]], 1/23410114560], [[[1, 9], [2, 4], [6, 3], [18, 1]], 1/3344302080], [[[1, 9], [2, 4], [7, 1], [14, 1]], 60587/4046192640], [[[1, 9], [2, 6], [3, 1], [4, 4]], 64541/1698693120], [[[1, 9], [2, 6], [3, 1], [5, 2]], 12293/1327104000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 17/4013162496], [[[1, 9], [2, 6], [3, 1], [8, 2]], 1/11796480], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/4608000], [[[1, 9], [2, 6], [3, 2], [4, 3]], 3421/79626240], [[[1, 9], [2, 6], [3, 2], [6, 3]], 41213/3344302080], [[[1, 9], [2, 6], [3, 2], [7, 1]], 2497/222953472], [[[1, 9], [2, 6], [3, 2], [9, 1]], 3367/191102976], [[[1, 9], [2, 6], [3, 2], [14, 1]], 23/9289728], [[[1, 9], [2, 6], [3, 3], [4, 2]], 4757/238878720], [[[1, 9], [2, 6], [3, 3], [5, 1]], 1967/477757440], [[[1, 9], [2, 6], [3, 3], [6, 2]], 222097/2866544640], [[[1, 9], [2, 6], [3, 3], [8, 1]], 67/59719680], [[[1, 9], [2, 6], [3, 3], [10, 1]], 1/460800], [[[1, 9], [2, 6], [3, 4], [4, 1]], 1639/424673280], [[[1, 9], [2, 6], [3, 4], [6, 1]], 21079/1433272320], [[[1, 9], [2, 6], [4, 1], [5, 2]], 123767/4423680000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 19/53508833280], [[[1, 9], [2, 6], [4, 1], [8, 2]], 1361/141557760], [[[1, 9], [2, 6], [4, 1], [10, 2]], 1597/8257536000], [[[1, 9], [2, 6], [4, 2], [7, 1]], 2294893/34681651200], [[[1, 9], [2, 6], [4, 2], [14, 1]], 1423/330301440], [[[1, 9], [2, 6], [4, 3], [5, 1]], 74519/1238630400], [[[1, 9], [2, 6], [4, 3], [6, 2]], 431/424673280], [[[1, 9], [2, 6], [4, 3], [8, 1]], 316657/2642411520], [[[1, 9], [2, 6], [4, 3], [10, 1]], 791/117964800], [[[1, 9], [2, 6], [4, 3], [12, 1]], 101/17694720], [[[1, 9], [2, 6], [4, 4], [6, 1]], 1057/283115520], [[[1, 9], [2, 6], [5, 1], [7, 1]], 2117/176947200], [[[1, 9], [2, 6], [5, 1], [14, 1]], 11/4300800], [[[1, 9], [2, 6], [5, 2], [6, 1]], 683/138240000], [[[1, 9], [2, 6], [6, 1], [10, 2]], 43/4644864000], [[[1, 9], [2, 6], [6, 2], [7, 1]], 131/65028096], [[[1, 9], [2, 6], [6, 2], [14, 1]], 43/3901685760], [[[1, 9], [2, 6], [6, 2], [18, 1]], 89/382205952], [[[1, 9], [2, 6], [6, 3], [10, 1]], 29/16721510400], [[[1, 9], [2, 6], [7, 1], [8, 1]], 251/61931520], [[[1, 9], [2, 6], [7, 1], [10, 1]], 1873/270950400], [[[1, 9], [2, 6], [10, 1], [14, 1]], 89/495452160], [[[1, 9], [2, 8], [3, 1], [4, 3]], 184097/8493465600], [[[1, 9], [2, 8], [3, 1], [6, 3]], 54371/32105299968], [[[1, 9], [2, 8], [3, 1], [7, 1]], 195809/104044953600], [[[1, 9], [2, 8], [3, 1], [9, 1]], 568517/312134860800], [[[1, 9], [2, 8], [3, 1], [14, 1]], 13/9676800], [[[1, 9], [2, 8], [3, 2], [4, 2]], 5891/637009920], [[[1, 9], [2, 8], [3, 2], [5, 1]], 6551/8257536000], [[[1, 9], [2, 8], [3, 2], [6, 2]], 1417733/66886041600], [[[1, 9], [2, 8], [3, 2], [8, 1]], 1/6635520], [[[1, 9], [2, 8], [3, 2], [10, 1]], 23/24883200], [[[1, 9], [2, 8], [3, 3], [4, 1]], 13/9953280], [[[1, 9], [2, 8], [3, 3], [6, 1]], 288287/57330892800], [[[1, 9], [2, 8], [4, 1], [6, 3]], 2567/26754416640], [[[1, 9], [2, 8], [4, 1], [7, 1]], 36973/4954521600], [[[1, 9], [2, 8], [4, 1], [14, 1]], 228817/69363302400], [[[1, 9], [2, 8], [4, 2], [5, 1]], 59777/3538944000], [[[1, 9], [2, 8], [4, 2], [6, 2]], 475/169869312], [[[1, 9], [2, 8], [4, 2], [8, 1]], 22651/707788800], [[[1, 9], [2, 8], [4, 2], [10, 1]], 611/70778880], [[[1, 9], [2, 8], [4, 2], [12, 1]], 229/495452160], [[[1, 9], [2, 8], [4, 3], [6, 1]], 19489/1698693120], [[[1, 9], [2, 8], [5, 1], [6, 2]], 19/33177600], [[[1, 9], [2, 8], [5, 1], [8, 1]], 13/44236800], [[[1, 9], [2, 8], [5, 1], [10, 1]], 153899/16515072000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 1801/812851200], [[[1, 9], [2, 8], [6, 1], [14, 1]], 8191/19508428800], [[[1, 9], [2, 8], [6, 1], [18, 1]], 315179/468202291200], [[[1, 9], [2, 8], [6, 2], [8, 1]], 1/106168320], [[[1, 9], [2, 8], [6, 2], [10, 1]], 18631/222953472000], [[[1, 9], [2, 8], [8, 1], [10, 1]], 1/29491200], [[[1, 9], [2, 10], [3, 1], [4, 2]], 101309/33973862400], [[[1, 9], [2, 10], [3, 1], [5, 1]], 84107/891813888000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 4526579/1872809164800], [[[1, 9], [2, 10], [3, 1], [8, 1]], 29/2972712960], [[[1, 9], [2, 10], [3, 1], [10, 1]], 1859/4644864000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 11939/33443020800], [[[1, 9], [2, 10], [3, 2], [6, 1]], 1454569/936404582400], [[[1, 9], [2, 10], [4, 1], [5, 1]], 345757/346816512000], [[[1, 9], [2, 10], [4, 1], [6, 2]], 423589/356725555200], [[[1, 9], [2, 10], [4, 1], [8, 1]], 6087593/3329438515200], [[[1, 9], [2, 10], [4, 1], [10, 1]], 1275769/693633024000], [[[1, 9], [2, 10], [4, 1], [12, 1]], 1/99090432], [[[1, 9], [2, 10], [4, 2], [6, 1]], 152599/29727129600], [[[1, 9], [2, 10], [5, 1], [6, 1]], 857/2654208000], [[[1, 9], [2, 10], [6, 1], [8, 1]], 47/990904320], [[[1, 9], [2, 10], [6, 1], [10, 1]], 4896067/12485394432000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 1743893/10701766656000], [[[1, 9], [2, 12], [3, 1], [6, 1]], 150808687/449474199552000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 18680317/29964946636800], [[[1, 9], [3, 1], [4, 2], [11, 1]], 13/8110080], [[[1, 9], [3, 1], [4, 4], [7, 1]], 1/185794560], [[[1, 9], [3, 1], [4, 4], [9, 1]], 1/557383680], [[[1, 9], [3, 1], [5, 1], [11, 1]], 19/844800], [[[1, 9], [3, 1], [5, 2], [7, 1]], 1/25200], [[[1, 9], [3, 1], [5, 2], [9, 1]], 1/86400], [[[1, 9], [3, 1], [7, 1], [8, 2]], 1/3870720], [[[1, 9], [3, 1], [8, 2], [9, 1]], 1/11612160], [[[1, 9], [3, 2], [4, 2], [5, 2]], 11/7372800], [[[1, 9], [3, 2], [4, 4], [5, 1]], 1/132710400], [[[1, 9], [3, 2], [5, 1], [8, 2]], 1/2764800], [[[1, 9], [3, 2], [5, 1], [15, 1]], 1/691200], [[[1, 9], [3, 2], [7, 1], [9, 1]], 1/35840], [[[1, 9], [3, 3], [4, 2], [7, 1]], 7/3981312], [[[1, 9], [3, 3], [4, 2], [9, 1]], 1/442368], [[[1, 9], [3, 3], [5, 1], [7, 1]], 17/544320], [[[1, 9], [3, 3], [5, 1], [9, 1]], 1/34560], [[[1, 9], [3, 4], [4, 2], [5, 1]], 1/1244160], [[[1, 9], [3, 4], [4, 2], [12, 1]], 1/4478976], [[[1, 9], [3, 5], [4, 1], [8, 1]], 1/14929920], [[[1, 9], [4, 1], [8, 1], [11, 1]], 1/675840], [[[1, 9], [4, 2], [5, 2], [12, 1]], 1/3456000], [[[1, 10], [2, 1], [3, 1], [5, 3]], 61/3840000], [[[1, 10], [2, 1], [3, 1], [7, 2]], 289/13547520], [[[1, 10], [2, 1], [3, 1], [13, 1]], 1811/268369920], [[[1, 10], [2, 1], [3, 2], [4, 5]], 1/637009920], [[[1, 10], [2, 1], [3, 2], [11, 1]], 1/63360], [[[1, 10], [2, 1], [3, 3], [4, 4]], 11/5016453120], [[[1, 10], [2, 1], [3, 3], [5, 2]], 2479/124416000], [[[1, 10], [2, 1], [3, 3], [8, 2]], 11/104509440], [[[1, 10], [2, 1], [3, 4], [4, 3]], 223/573308928], [[[1, 10], [2, 1], [3, 4], [7, 1]], 521/52254720], [[[1, 10], [2, 1], [3, 4], [9, 1]], 37/2488320], [[[1, 10], [2, 1], [3, 5], [4, 2]], 17/79626240], [[[1, 10], [2, 1], [3, 5], [5, 1]], 17/4665600], [[[1, 10], [2, 1], [3, 5], [8, 1]], 1/7464960], [[[1, 10], [2, 1], [3, 6], [4, 1]], 1/2985984], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/933120], [[[1, 10], [2, 1], [4, 1], [5, 3]], 139/46080000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 5/802816], [[[1, 10], [2, 1], [4, 1], [8, 3]], 1/82575360], [[[1, 10], [2, 1], [4, 1], [13, 1]], 11/4792320], [[[1, 10], [2, 1], [4, 2], [11, 1]], 23/32440320], [[[1, 10], [2, 1], [4, 3], [5, 2]], 73/442368000], [[[1, 10], [2, 1], [4, 4], [7, 1]], 37/31213486080], [[[1, 10], [2, 1], [4, 5], [5, 1]], 1/1238630400], [[[1, 10], [2, 1], [4, 5], [8, 1]], 1/3963617280], [[[1, 10], [2, 1], [5, 1], [11, 1]], 15289/1135411200], [[[1, 10], [2, 1], [5, 2], [7, 1]], 97/4032000], [[[1, 10], [2, 1], [7, 1], [8, 2]], 37/650280960], [[[1, 10], [2, 1], [8, 1], [11, 1]], 1/2027520], [[[1, 10], [2, 3], [3, 1], [4, 5]], 71/185794560], [[[1, 10], [2, 3], [3, 1], [11, 1]], 43/1622016], [[[1, 10], [2, 3], [3, 2], [4, 4]], 779/318504960], [[[1, 10], [2, 3], [3, 2], [5, 2]], 9383/221184000], [[[1, 10], [2, 3], [3, 2], [8, 2]], 1/4423680], [[[1, 10], [2, 3], [3, 3], [4, 3]], 1751/159252480], [[[1, 10], [2, 3], [3, 3], [6, 3]], 5/1492992], [[[1, 10], [2, 3], [3, 3], [7, 1]], 23029/836075520], [[[1, 10], [2, 3], [3, 3], [9, 1]], 1969/55738368], [[[1, 10], [2, 3], [3, 3], [14, 1]], 11/22861440], [[[1, 10], [2, 3], [3, 4], [4, 2]], 7913/637009920], [[[1, 10], [2, 3], [3, 4], [5, 1]], 161/12441600], [[[1, 10], [2, 3], [3, 4], [6, 2]], 2359/89579520], [[[1, 10], [2, 3], [3, 4], [8, 1]], 137/89579520], [[[1, 10], [2, 3], [3, 4], [10, 1]], 1/1658880], [[[1, 10], [2, 3], [3, 5], [4, 1]], 43/8957952], [[[1, 10], [2, 3], [3, 5], [6, 1]], 397/29859840], [[[1, 10], [2, 3], [4, 1], [11, 1]], 2569/97320960], [[[1, 10], [2, 3], [4, 1], [22, 1]], 1/908328960], [[[1, 10], [2, 3], [4, 2], [5, 2]], 379/16128000], [[[1, 10], [2, 3], [4, 2], [8, 2]], 7381/1321205760], [[[1, 10], [2, 3], [4, 3], [7, 1]], 1871/247726080], [[[1, 10], [2, 3], [4, 4], [5, 1]], 73/61931520], [[[1, 10], [2, 3], [4, 4], [8, 1]], 403/283115520], [[[1, 10], [2, 3], [4, 4], [12, 1]], 29/123863040], [[[1, 10], [2, 3], [5, 1], [8, 2]], 1/6451200], [[[1, 10], [2, 3], [5, 1], [10, 2]], 449/1032192000], [[[1, 10], [2, 3], [5, 2], [6, 2]], 1/2304000], [[[1, 10], [2, 3], [5, 2], [8, 1]], 157/55296000], [[[1, 10], [2, 3], [5, 2], [10, 1]], 4693/184320000], [[[1, 10], [2, 3], [6, 1], [11, 1]], 23/12165120], [[[1, 10], [2, 3], [6, 1], [22, 1]], 1/1362493440], [[[1, 10], [2, 3], [7, 1], [14, 1]], 74929/36415733760], [[[1, 10], [2, 5], [3, 1], [4, 4]], 31117/1698693120], [[[1, 10], [2, 5], [3, 1], [5, 2]], 383/22118400], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1/20065812480], [[[1, 10], [2, 5], [3, 1], [8, 2]], 1/11796480], [[[1, 10], [2, 5], [3, 1], [10, 2]], 1/110592000], [[[1, 10], [2, 5], [3, 2], [4, 3]], 2123/53084160], [[[1, 10], [2, 5], [3, 2], [6, 3]], 2557/891813888], [[[1, 10], [2, 5], [3, 2], [7, 1]], 1031/55738368], [[[1, 10], [2, 5], [3, 2], [9, 1]], 13819/743178240], [[[1, 10], [2, 5], [3, 2], [14, 1]], 1/967680], [[[1, 10], [2, 5], [3, 3], [4, 2]], 295201/10032906240], [[[1, 10], [2, 5], [3, 3], [5, 1]], 12881/1194393600], [[[1, 10], [2, 5], [3, 3], [6, 2]], 1469177/30098718720], [[[1, 10], [2, 5], [3, 3], [8, 1]], 217/119439360], [[[1, 10], [2, 5], [3, 3], [10, 1]], 11/6123600], [[[1, 10], [2, 5], [3, 4], [4, 1]], 99797/11466178560], [[[1, 10], [2, 5], [3, 4], [6, 1]], 2069/95551488], [[[1, 10], [2, 5], [4, 1], [5, 2]], 31661/983040000], [[[1, 10], [2, 5], [4, 1], [6, 4]], 1/160526499840], [[[1, 10], [2, 5], [4, 1], [8, 2]], 4307/990904320], [[[1, 10], [2, 5], [4, 1], [10, 2]], 29/4128768000], [[[1, 10], [2, 5], [4, 2], [7, 1]], 6583/139345920], [[[1, 10], [2, 5], [4, 2], [14, 1]], 1913/4624220160], [[[1, 10], [2, 5], [4, 3], [5, 1]], 41989/1238630400], [[[1, 10], [2, 5], [4, 3], [6, 2]], 1/10616832], [[[1, 10], [2, 5], [4, 3], [8, 1]], 355583/7927234560], [[[1, 10], [2, 5], [4, 3], [10, 1]], 11/7372800], [[[1, 10], [2, 5], [4, 3], [12, 1]], 121/53084160], [[[1, 10], [2, 5], [4, 4], [6, 1]], 1907/2972712960], [[[1, 10], [2, 5], [5, 1], [7, 1]], 19349/1238630400], [[[1, 10], [2, 5], [5, 1], [14, 1]], 1/1411200], [[[1, 10], [2, 5], [5, 2], [6, 1]], 7/2304000], [[[1, 10], [2, 5], [6, 1], [10, 2]], 1/6193152000], [[[1, 10], [2, 5], [6, 2], [7, 1]], 2503/2926264320], [[[1, 10], [2, 5], [6, 2], [14, 1]], 1/5202247680], [[[1, 10], [2, 5], [6, 2], [18, 1]], 59/4459069440], [[[1, 10], [2, 5], [6, 3], [10, 1]], 1/33443020800], [[[1, 10], [2, 5], [7, 1], [8, 1]], 461/144506880], [[[1, 10], [2, 5], [7, 1], [10, 1]], 1487/487710720], [[[1, 10], [2, 5], [10, 1], [14, 1]], 59/5780275200], [[[1, 10], [2, 7], [3, 1], [4, 3]], 535733/19818086400], [[[1, 10], [2, 7], [3, 1], [6, 3]], 112897/160526499840], [[[1, 10], [2, 7], [3, 1], [7, 1]], 1129/265420800], [[[1, 10], [2, 7], [3, 1], [9, 1]], 28753/11147673600], [[[1, 10], [2, 7], [3, 1], [14, 1]], 211/371589120], [[[1, 10], [2, 7], [3, 2], [4, 2]], 244319/12740198400], [[[1, 10], [2, 7], [3, 2], [5, 1]], 49541/15925248000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 9059653/535088332800], [[[1, 10], [2, 7], [3, 2], [8, 1]], 43/79626240], [[[1, 10], [2, 7], [3, 2], [10, 1]], 1/884736], [[[1, 10], [2, 7], [3, 3], [4, 1]], 15473/3185049600], [[[1, 10], [2, 7], [3, 3], [6, 1]], 12648689/1203948748800], [[[1, 10], [2, 7], [4, 1], [6, 3]], 43/20065812480], [[[1, 10], [2, 7], [4, 1], [7, 1]], 1102183/104044953600], [[[1, 10], [2, 7], [4, 1], [14, 1]], 20537/23121100800], [[[1, 10], [2, 7], [4, 2], [5, 1]], 13249/589824000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 20387/23781703680], [[[1, 10], [2, 7], [4, 2], [8, 1]], 293893/11324620800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 67511/19818086400], [[[1, 10], [2, 7], [4, 2], [12, 1]], 95/148635648], [[[1, 10], [2, 7], [4, 3], [6, 1]], 7313/1698693120], [[[1, 10], [2, 7], [5, 1], [6, 2]], 59/154828800], [[[1, 10], [2, 7], [5, 1], [8, 1]], 29/44236800], [[[1, 10], [2, 7], [5, 1], [10, 1]], 469/66355200], [[[1, 10], [2, 7], [6, 1], [7, 1]], 130001/58525286400], [[[1, 10], [2, 7], [6, 1], [14, 1]], 137/2601123840], [[[1, 10], [2, 7], [6, 1], [18, 1]], 2453/22295347200], [[[1, 10], [2, 7], [6, 2], [10, 1]], 173/44590694400], [[[1, 10], [2, 9], [3, 1], [4, 2]], 152599/29727129600], [[[1, 10], [2, 9], [3, 1], [5, 1]], 4896067/12485394432000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 1454569/936404582400], [[[1, 10], [2, 9], [3, 1], [8, 1]], 47/990904320], [[[1, 10], [2, 9], [3, 1], [10, 1]], 857/2654208000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 423589/356725555200], [[[1, 10], [2, 9], [3, 2], [6, 1]], 4526579/1872809164800], [[[1, 10], [2, 9], [4, 1], [5, 1]], 1275769/693633024000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 11939/33443020800], [[[1, 10], [2, 9], [4, 1], [8, 1]], 6087593/3329438515200], [[[1, 10], [2, 9], [4, 1], [10, 1]], 345757/346816512000], [[[1, 10], [2, 9], [4, 1], [12, 1]], 1/99090432], [[[1, 10], [2, 9], [4, 2], [6, 1]], 101309/33973862400], [[[1, 10], [2, 9], [5, 1], [6, 1]], 1859/4644864000], [[[1, 10], [2, 9], [6, 1], [8, 1]], 29/2972712960], [[[1, 10], [2, 9], [6, 1], [10, 1]], 84107/891813888000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 1336841/4994157772800], [[[1, 10], [2, 11], [3, 1], [6, 1]], 23020153/64210599936000], [[[1, 10], [2, 11], [4, 1], [6, 1]], 39336859/89894839910400], [[[1, 11], [2, 2], [3, 1], [4, 5]], 37/53508833280], [[[1, 11], [2, 2], [3, 1], [11, 1]], 893/151388160], [[[1, 11], [2, 2], [3, 2], [4, 4]], 689/3567255552], [[[1, 11], [2, 2], [3, 2], [5, 2]], 12161/663552000], [[[1, 11], [2, 2], [3, 2], [8, 2]], 1/24772608], [[[1, 11], [2, 2], [3, 3], [4, 3]], 113/179159040], [[[1, 11], [2, 2], [3, 3], [7, 1]], 3491/278691840], [[[1, 11], [2, 2], [3, 3], [9, 1]], 337/30965760], [[[1, 11], [2, 2], [3, 3], [14, 1]], 1/45722880], [[[1, 11], [2, 2], [3, 4], [4, 2]], 5573/1911029760], [[[1, 11], [2, 2], [3, 4], [5, 1]], 13/1658880], [[[1, 11], [2, 2], [3, 4], [6, 2]], 707/268738560], [[[1, 11], [2, 2], [3, 4], [8, 1]], 269/836075520], [[[1, 11], [2, 2], [3, 4], [10, 1]], 1/14929920], [[[1, 11], [2, 2], [3, 5], [4, 1]], 751/298598400], [[[1, 11], [2, 2], [3, 5], [6, 1]], 409/89579520], [[[1, 11], [2, 2], [4, 1], [11, 1]], 4967/1513881600], [[[1, 11], [2, 2], [4, 2], [5, 2]], 437/206438400], [[[1, 11], [2, 2], [4, 2], [8, 2]], 127/440401920], [[[1, 11], [2, 2], [4, 3], [7, 1]], 139/445906944], [[[1, 11], [2, 2], [4, 4], [5, 1]], 2917/44590694400], [[[1, 11], [2, 2], [4, 4], [8, 1]], 17/283115520], [[[1, 11], [2, 2], [4, 4], [12, 1]], 1/123863040], [[[1, 11], [2, 2], [5, 1], [8, 2]], 19/928972800], [[[1, 11], [2, 2], [5, 2], [6, 2]], 1/41472000], [[[1, 11], [2, 2], [5, 2], [8, 1]], 11/27648000], [[[1, 11], [2, 2], [5, 2], [10, 1]], 51479/15482880000], [[[1, 11], [2, 2], [6, 1], [11, 1]], 1/12165120], [[[1, 11], [2, 2], [7, 1], [14, 1]], 3973/36415733760], [[[1, 11], [2, 4], [3, 1], [4, 4]], 93559/35672555520], [[[1, 11], [2, 4], [3, 1], [5, 2]], 733/49152000], [[[1, 11], [2, 4], [3, 1], [8, 2]], 5/148635648], [[[1, 11], [2, 4], [3, 2], [4, 3]], 1471/106168320], [[[1, 11], [2, 4], [3, 2], [6, 3]], 29/99090432], [[[1, 11], [2, 4], [3, 2], [7, 1]], 117073/7803371520], [[[1, 11], [2, 4], [3, 2], [9, 1]], 4555/445906944], [[[1, 11], [2, 4], [3, 2], [14, 1]], 1/5419008], [[[1, 11], [2, 4], [3, 3], [4, 2]], 192391/10032906240], [[[1, 11], [2, 4], [3, 3], [5, 1]], 3203/265420800], [[[1, 11], [2, 4], [3, 3], [6, 2]], 5437/371589120], [[[1, 11], [2, 4], [3, 3], [8, 1]], 683/627056640], [[[1, 11], [2, 4], [3, 3], [10, 1]], 73/111974400], [[[1, 11], [2, 4], [3, 4], [4, 1]], 70057/8026324992], [[[1, 11], [2, 4], [3, 4], [6, 1]], 1751/117573120], [[[1, 11], [2, 4], [4, 1], [5, 2]], 163109/9289728000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 857/990904320], [[[1, 11], [2, 4], [4, 1], [10, 2]], 1/8257536000], [[[1, 11], [2, 4], [4, 2], [7, 1]], 29681/1950842880], [[[1, 11], [2, 4], [4, 2], [14, 1]], 13/924844032], [[[1, 11], [2, 4], [4, 3], [5, 1]], 3049/412876800], [[[1, 11], [2, 4], [4, 3], [8, 1]], 55907/7927234560], [[[1, 11], [2, 4], [4, 3], [10, 1]], 29/206438400], [[[1, 11], [2, 4], [4, 3], [12, 1]], 59/185794560], [[[1, 11], [2, 4], [4, 4], [6, 1]], 143/2972712960], [[[1, 11], [2, 4], [5, 1], [7, 1]], 3263/321126400], [[[1, 11], [2, 4], [5, 1], [14, 1]], 19/203212800], [[[1, 11], [2, 4], [5, 2], [6, 1]], 133/165888000], [[[1, 11], [2, 4], [6, 2], [7, 1]], 163/975421440], [[[1, 11], [2, 4], [6, 2], [18, 1]], 1/4459069440], [[[1, 11], [2, 4], [7, 1], [8, 1]], 4159/3901685760], [[[1, 11], [2, 4], [7, 1], [10, 1]], 293/487710720], [[[1, 11], [2, 4], [10, 1], [14, 1]], 1/5780275200], [[[1, 11], [2, 6], [3, 1], [4, 3]], 496897/26754416640], [[[1, 11], [2, 6], [3, 1], [6, 3]], 24041/114661785600], [[[1, 11], [2, 6], [3, 1], [7, 1]], 198881/39016857600], [[[1, 11], [2, 6], [3, 1], [9, 1]], 68641/33443020800], [[[1, 11], [2, 6], [3, 1], [14, 1]], 421/2601123840], [[[1, 11], [2, 6], [3, 2], [4, 2]], 3682981/178362777600], [[[1, 11], [2, 6], [3, 2], [5, 1]], 29489/5308416000], [[[1, 11], [2, 6], [3, 2], [6, 2]], 180947/21403533312], [[[1, 11], [2, 6], [3, 2], [8, 1]], 1/1474560], [[[1, 11], [2, 6], [3, 2], [10, 1]], 29/38707200], [[[1, 11], [2, 6], [3, 3], [4, 1]], 398227/50164531200], [[[1, 11], [2, 6], [3, 3], [6, 1]], 4671629/401316249600], [[[1, 11], [2, 6], [4, 1], [6, 3]], 1/26754416640], [[[1, 11], [2, 6], [4, 1], [7, 1]], 2770819/312134860800], [[[1, 11], [2, 6], [4, 1], [14, 1]], 719/4624220160], [[[1, 11], [2, 6], [4, 2], [5, 1]], 1094681/63700992000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 481/2378170368], [[[1, 11], [2, 6], [4, 2], [8, 1]], 3163807/237817036800], [[[1, 11], [2, 6], [4, 2], [10, 1]], 4663/4954521600], [[[1, 11], [2, 6], [4, 2], [12, 1]], 197/530841600], [[[1, 11], [2, 6], [4, 3], [6, 1]], 947/880803840], [[[1, 11], [2, 6], [5, 1], [6, 2]], 187/1045094400], [[[1, 11], [2, 6], [5, 1], [8, 1]], 61/103219200], [[[1, 11], [2, 6], [5, 1], [10, 1]], 28303/7962624000], [[[1, 11], [2, 6], [6, 1], [7, 1]], 23171/19508428800], [[[1, 11], [2, 6], [6, 1], [14, 1]], 1/346816512], [[[1, 11], [2, 6], [6, 1], [18, 1]], 29/4459069440], [[[1, 11], [2, 6], [6, 2], [10, 1]], 1/14863564800], [[[1, 11], [2, 8], [3, 1], [4, 2]], 608651/89181388800], [[[1, 11], [2, 8], [3, 1], [5, 1]], 1309151/1387266048000], [[[1, 11], [2, 8], [3, 1], [6, 2]], 1822607/2006581248000], [[[1, 11], [2, 8], [3, 1], [8, 1]], 167/1486356480], [[[1, 11], [2, 8], [3, 1], [10, 1]], 3317/13934592000], [[[1, 11], [2, 8], [3, 2], [4, 1]], 209/78643200], [[[1, 11], [2, 8], [3, 2], [6, 1]], 13219/4180377600], [[[1, 11], [2, 8], [4, 1], [5, 1]], 195227/74317824000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 12161/89181388800], [[[1, 11], [2, 8], [4, 1], [8, 1]], 51631/31708938240], [[[1, 11], [2, 8], [4, 1], [10, 1]], 14237/29727129600], [[[1, 11], [2, 8], [4, 1], [12, 1]], 13/743178240], [[[1, 11], [2, 8], [4, 2], [6, 1]], 117179/79272345600], [[[1, 11], [2, 8], [5, 1], [6, 1]], 33107/83607552000], [[[1, 11], [2, 8], [6, 1], [8, 1]], 13/1486356480], [[[1, 11], [2, 8], [6, 1], [10, 1]], 223/11010048000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 39336859/89894839910400], [[[1, 11], [2, 10], [3, 1], [6, 1]], 23020153/64210599936000], [[[1, 11], [2, 10], [4, 1], [6, 1]], 1336841/4994157772800], [[[1, 11], [3, 1], [4, 2], [5, 2]], 1/12288000], [[[1, 11], [3, 1], [4, 4], [5, 1]], 1/7431782400], [[[1, 11], [3, 1], [5, 1], [8, 2]], 1/154828800], [[[1, 11], [3, 1], [5, 1], [15, 1]], 1/309657600], [[[1, 11], [3, 1], [7, 1], [9, 1]], 19/48168960], [[[1, 11], [3, 2], [4, 2], [7, 1]], 13/92897280], [[[1, 11], [3, 2], [4, 2], [9, 1]], 17/185794560], [[[1, 11], [3, 2], [5, 1], [7, 1]], 1/207360], [[[1, 11], [3, 2], [5, 1], [9, 1]], 59/29030400], [[[1, 11], [3, 3], [4, 2], [5, 1]], 29/199065600], [[[1, 11], [3, 3], [4, 2], [12, 1]], 1/78382080], [[[1, 11], [3, 4], [4, 1], [8, 1]], 1/23887872], [[[1, 11], [4, 1], [5, 2], [8, 1]], 1/18432000], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/20643840], [[[1, 11], [4, 2], [7, 1], [12, 1]], 1/243855360], [[[1, 12], [2, 1], [3, 1], [4, 5]], 1/53508833280], [[[1, 12], [2, 1], [3, 1], [11, 1]], 19/34406400], [[[1, 12], [2, 1], [3, 2], [4, 4]], 23/401316249600], [[[1, 12], [2, 1], [3, 2], [5, 2]], 56761/18579456000], [[[1, 12], [2, 1], [3, 2], [8, 2]], 23/8360755200], [[[1, 12], [2, 1], [3, 3], [4, 3]], 11/286654464], [[[1, 12], [2, 1], [3, 3], [7, 1]], 51641/23410114560], [[[1, 12], [2, 1], [3, 3], [9, 1]], 19/13762560], [[[1, 12], [2, 1], [3, 4], [4, 2]], 691/13377208320], [[[1, 12], [2, 1], [3, 4], [5, 1]], 323/174182400], [[[1, 12], [2, 1], [3, 4], [8, 1]], 17/836075520], [[[1, 12], [2, 1], [3, 5], [4, 1]], 37/99532800], [[[1, 12], [2, 1], [3, 5], [6, 1]], 7/14929920], [[[1, 12], [2, 1], [4, 1], [11, 1]], 69/504627200], [[[1, 12], [2, 1], [4, 2], [5, 2]], 7/221184000], [[[1, 12], [2, 1], [4, 2], [8, 2]], 1/165150720], [[[1, 12], [2, 1], [4, 3], [7, 1]], 29/2229534720], [[[1, 12], [2, 1], [4, 4], [5, 1]], 1/43794432000], [[[1, 12], [2, 1], [5, 1], [8, 2]], 1/912384000], [[[1, 12], [2, 1], [5, 2], [8, 1]], 1/55296000], [[[1, 12], [2, 1], [5, 2], [10, 1]], 451/3096576000], [[[1, 12], [2, 1], [7, 1], [14, 1]], 1/578027520], [[[1, 12], [2, 3], [3, 1], [4, 4]], 4637/35672555520], [[[1, 12], [2, 3], [3, 1], [5, 2]], 859/145152000], [[[1, 12], [2, 3], [3, 1], [8, 2]], 13/2229534720], [[[1, 12], [2, 3], [3, 2], [4, 3]], 1997/1486356480], [[[1, 12], [2, 3], [3, 2], [6, 3]], 1/104509440], [[[1, 12], [2, 3], [3, 2], [7, 1]], 3449/585252864], [[[1, 12], [2, 3], [3, 2], [9, 1]], 7699/2675441664], [[[1, 12], [2, 3], [3, 2], [14, 1]], 23/1828915200], [[[1, 12], [2, 3], [3, 3], [4, 2]], 15437/3344302080], [[[1, 12], [2, 3], [3, 3], [5, 1]], 26377/4180377600], [[[1, 12], [2, 3], [3, 3], [6, 2]], 73657/40131624960], [[[1, 12], [2, 3], [3, 3], [8, 1]], 653/2508226560], [[[1, 12], [2, 3], [3, 3], [10, 1]], 1/10886400], [[[1, 12], [2, 3], [3, 4], [4, 1]], 22667/5733089280], [[[1, 12], [2, 3], [3, 4], [6, 1]], 85/17915904], [[[1, 12], [2, 3], [4, 1], [5, 2]], 4231/990904320], [[[1, 12], [2, 3], [4, 1], [8, 2]], 1097/14863564800], [[[1, 12], [2, 3], [4, 2], [7, 1]], 397133/208089907200], [[[1, 12], [2, 3], [4, 3], [5, 1]], 3113/5573836800], [[[1, 12], [2, 3], [4, 3], [8, 1]], 3211/7927234560], [[[1, 12], [2, 3], [4, 3], [10, 1]], 1/206438400], [[[1, 12], [2, 3], [4, 3], [12, 1]], 23/1393459200], [[[1, 12], [2, 3], [5, 1], [7, 1]], 159517/52022476800], [[[1, 12], [2, 3], [5, 1], [14, 1]], 1/199584000], [[[1, 12], [2, 3], [5, 2], [6, 1]], 7/82944000], [[[1, 12], [2, 3], [6, 2], [7, 1]], 13/975421440], [[[1, 12], [2, 3], [7, 1], [8, 1]], 13/79626240], [[[1, 12], [2, 3], [7, 1], [10, 1]], 13/270950400], [[[1, 12], [2, 5], [3, 1], [4, 3]], 155569/26754416640], [[[1, 12], [2, 5], [3, 1], [6, 3]], 8207/267544166400], [[[1, 12], [2, 5], [3, 1], [7, 1]], 1105/334430208], [[[1, 12], [2, 5], [3, 1], [9, 1]], 6221/6688604160], [[[1, 12], [2, 5], [3, 1], [14, 1]], 13/487710720], [[[1, 12], [2, 5], [3, 2], [4, 2]], 2197327/200658124800], [[[1, 12], [2, 5], [3, 2], [5, 1]], 22007/4459069440], [[[1, 12], [2, 5], [3, 2], [6, 2]], 94813/42998169600], [[[1, 12], [2, 5], [3, 2], [8, 1]], 397/1114767360], [[[1, 12], [2, 5], [3, 2], [10, 1]], 3859/15676416000], [[[1, 12], [2, 5], [3, 3], [4, 1]], 1283069/200658124800], [[[1, 12], [2, 5], [3, 3], [6, 1]], 11915/1783627776], [[[1, 12], [2, 5], [4, 1], [7, 1]], 178631/44590694400], [[[1, 12], [2, 5], [4, 1], [14, 1]], 3053/208089907200], [[[1, 12], [2, 5], [4, 2], [5, 1]], 4103227/613122048000], [[[1, 12], [2, 5], [4, 2], [6, 2]], 71/3397386240], [[[1, 12], [2, 5], [4, 2], [8, 1]], 36109/9909043200], [[[1, 12], [2, 5], [4, 2], [10, 1]], 2483/19818086400], [[[1, 12], [2, 5], [4, 2], [12, 1]], 653/7431782400], [[[1, 12], [2, 5], [4, 3], [6, 1]], 55831/356725555200], [[[1, 12], [2, 5], [5, 1], [6, 2]], 719/16422912000], [[[1, 12], [2, 5], [5, 1], [8, 1]], 331/1393459200], [[[1, 12], [2, 5], [5, 1], [10, 1]], 25357933/24524881920000], [[[1, 12], [2, 5], [6, 1], [7, 1]], 11/36126720], [[[1, 12], [2, 5], [6, 1], [14, 1]], 1/20808990720], [[[1, 12], [2, 5], [6, 1], [18, 1]], 1/8918138880], [[[1, 12], [2, 7], [3, 1], [4, 2]], 6014143/1070176665600], [[[1, 12], [2, 7], [3, 1], [5, 1]], 548341/445906944000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 706247/2006581248000], [[[1, 12], [2, 7], [3, 1], [8, 1]], 2477/22295347200], [[[1, 12], [2, 7], [3, 1], [10, 1]], 20789/167215104000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 7223/2229534720], [[[1, 12], [2, 7], [3, 2], [6, 1]], 8011261/3009871872000], [[[1, 12], [2, 7], [4, 1], [5, 1]], 105037/44590694400], [[[1, 12], [2, 7], [4, 1], [6, 2]], 12113/267544166400], [[[1, 12], [2, 7], [4, 1], [8, 1]], 154247/158544691200], [[[1, 12], [2, 7], [4, 1], [10, 1]], 75409/445906944000], [[[1, 12], [2, 7], [4, 1], [12, 1]], 7/530841600], [[[1, 12], [2, 7], [4, 2], [6, 1]], 118757/237817036800], [[[1, 12], [2, 7], [5, 1], [6, 1]], 271157/1149603840000], [[[1, 12], [2, 7], [6, 1], [8, 1]], 7/1061683200], [[[1, 12], [2, 7], [6, 1], [10, 1]], 2417/594542592000], [[[1, 12], [2, 9], [3, 1], [4, 1]], 18680317/29964946636800], [[[1, 12], [2, 9], [3, 1], [6, 1]], 150808687/449474199552000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 1743893/10701766656000], [[[1, 13], [2, 2], [3, 1], [4, 4]], 29867/5885971660800], [[[1, 13], [2, 2], [3, 1], [5, 2]], 60677/55738368000], [[[1, 13], [2, 2], [3, 1], [8, 2]], 19/40874803200], [[[1, 13], [2, 2], [3, 2], [4, 3]], 869/25082265600], [[[1, 13], [2, 2], [3, 2], [7, 1]], 16663/15606743040], [[[1, 13], [2, 2], [3, 2], [9, 1]], 8899/22295347200], [[[1, 13], [2, 2], [3, 2], [14, 1]], 1/3657830400], [[[1, 13], [2, 2], [3, 3], [4, 2]], 517/1672151040], [[[1, 13], [2, 2], [3, 3], [5, 1]], 2401/1592524800], [[[1, 13], [2, 2], [3, 3], [6, 2]], 8579/120394874880], [[[1, 13], [2, 2], [3, 3], [8, 1]], 163/6270566400], [[[1, 13], [2, 2], [3, 3], [10, 1]], 1/261273600], [[[1, 13], [2, 2], [3, 4], [4, 1]], 36923/53508833280], [[[1, 13], [2, 2], [3, 4], [6, 1]], 827/1337720832], [[[1, 13], [2, 2], [4, 1], [5, 2]], 901283/2043740160000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 151/70071091200], [[[1, 13], [2, 2], [4, 2], [7, 1]], 17573/208089907200], [[[1, 13], [2, 2], [4, 3], [5, 1]], 8807/613122048000], [[[1, 13], [2, 2], [4, 3], [8, 1]], 53/7927234560], [[[1, 13], [2, 2], [4, 3], [12, 1]], 67/183936614400], [[[1, 13], [2, 2], [5, 1], [7, 1]], 22303/52022476800], [[[1, 13], [2, 2], [5, 1], [14, 1]], 1/11176704000], [[[1, 13], [2, 2], [5, 2], [6, 1]], 1/331776000], [[[1, 13], [2, 2], [6, 2], [7, 1]], 1/2926264320], [[[1, 13], [2, 2], [7, 1], [8, 1]], 43/3901685760], [[[1, 13], [2, 2], [7, 1], [10, 1]], 1/812851200], [[[1, 13], [2, 4], [3, 1], [4, 3]], 111811/152882380800], [[[1, 13], [2, 4], [3, 1], [6, 3]], 1/522547200], [[[1, 13], [2, 4], [3, 1], [7, 1]], 212339/187280916480], [[[1, 13], [2, 4], [3, 1], [9, 1]], 31489/133772083200], [[[1, 13], [2, 4], [3, 1], [14, 1]], 19/8941363200], [[[1, 13], [2, 4], [3, 2], [4, 2]], 8333191/3210529996800], [[[1, 13], [2, 4], [3, 2], [5, 1]], 149851/66886041600], [[[1, 13], [2, 4], [3, 2], [6, 2]], 7957/28665446400], [[[1, 13], [2, 4], [3, 2], [8, 1]], 541/6270566400], [[[1, 13], [2, 4], [3, 2], [10, 1]], 1151/31352832000], [[[1, 13], [2, 4], [3, 3], [4, 1]], 95159/37623398400], [[[1, 13], [2, 4], [3, 3], [6, 1]], 4685683/2407897497600], [[[1, 13], [2, 4], [4, 1], [7, 1]], 242671/267544166400], [[[1, 13], [2, 4], [4, 1], [14, 1]], 67/107296358400], [[[1, 13], [2, 4], [4, 2], [5, 1]], 12016877/9809952768000], [[[1, 13], [2, 4], [4, 2], [6, 2]], 1/1486356480], [[[1, 13], [2, 4], [4, 2], [8, 1]], 240983/490497638400], [[[1, 13], [2, 4], [4, 2], [10, 1]], 139/18579456000], [[[1, 13], [2, 4], [4, 2], [12, 1]], 613/66886041600], [[[1, 13], [2, 4], [4, 3], [6, 1]], 1087/91968307200], [[[1, 13], [2, 4], [5, 1], [6, 2]], 193/38320128000], [[[1, 13], [2, 4], [5, 1], [8, 1]], 7123/153280512000], [[[1, 13], [2, 4], [5, 1], [10, 1]], 3995711/24524881920000], [[[1, 13], [2, 4], [6, 1], [7, 1]], 109/2926264320], [[[1, 13], [2, 6], [3, 1], [4, 2]], 29733211/11771943321600], [[[1, 13], [2, 6], [3, 1], [5, 1]], 1180027/1337720832000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 641519/8828957491200], [[[1, 13], [2, 6], [3, 1], [8, 1]], 6817/133772083200], [[[1, 13], [2, 6], [3, 1], [10, 1]], 929/25546752000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 2143919/1003290624000], [[[1, 13], [2, 6], [3, 2], [6, 1]], 213667/167215104000], [[[1, 13], [2, 6], [4, 1], [5, 1]], 443707/371589120000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 296719/35315829964800], [[[1, 13], [2, 6], [4, 1], [8, 1]], 16153/47563407360], [[[1, 13], [2, 6], [4, 1], [10, 1]], 966421/29429858304000], [[[1, 13], [2, 6], [4, 1], [12, 1]], 11/2477260800], [[[1, 13], [2, 6], [4, 2], [6, 1]], 196171/2140353331200], [[[1, 13], [2, 6], [5, 1], [6, 1]], 111791/1532805120000], [[[1, 13], [2, 6], [6, 1], [8, 1]], 11/4954521600], [[[1, 13], [2, 6], [6, 1], [10, 1]], 3181/5350883328000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 207833/356725555200], [[[1, 13], [2, 8], [3, 1], [6, 1]], 158039011/706316599296000], [[[1, 13], [2, 8], [4, 1], [6, 1]], 50253101/706316599296000], [[[1, 13], [3, 1], [4, 2], [7, 1]], 5/1560674304], [[[1, 13], [3, 1], [4, 2], [9, 1]], 1/1114767360], [[[1, 13], [3, 1], [5, 1], [7, 1]], 2497/19508428800], [[[1, 13], [3, 1], [5, 1], [9, 1]], 131/5573836800], [[[1, 13], [3, 2], [4, 2], [5, 1]], 11/1857945600], [[[1, 13], [3, 2], [4, 2], [12, 1]], 1/6270566400], [[[1, 13], [3, 3], [4, 1], [8, 1]], 1/418037760], [[[1, 13], [4, 1], [7, 1], [8, 1]], 1/1300561920], [[[1, 13], [4, 2], [5, 1], [12, 1]], 1/19160064000], [[[1, 14], [2, 1], [3, 1], [4, 4]], 79/229552894771200], [[[1, 14], [2, 1], [3, 1], [5, 2]], 67099/766402560000], [[[1, 14], [2, 1], [3, 1], [8, 2]], 79/4782351974400], [[[1, 14], [2, 1], [3, 2], [4, 3]], 449/401316249600], [[[1, 14], [2, 1], [3, 2], [7, 1]], 953/11705057280], [[[1, 14], [2, 1], [3, 2], [9, 1]], 79/3185049600], [[[1, 14], [2, 1], [3, 3], [4, 2]], 131/50164531200], [[[1, 14], [2, 1], [3, 3], [5, 1]], 37651/250822656000], [[[1, 14], [2, 1], [3, 3], [8, 1]], 11/12541132800], [[[1, 14], [2, 1], [3, 4], [4, 1]], 29/849346560], [[[1, 14], [2, 1], [3, 4], [6, 1]], 163/6688604160], [[[1, 14], [2, 1], [4, 1], [5, 2]], 63191/4087480320000], [[[1, 14], [2, 1], [4, 1], [8, 2]], 1/490497638400], [[[1, 14], [2, 1], [4, 2], [7, 1]], 1/1274019840], [[[1, 14], [2, 1], [4, 3], [5, 1]], 509/1226244096000], [[[1, 14], [2, 1], [4, 3], [8, 1]], 1/7927234560], [[[1, 14], [2, 1], [4, 3], [12, 1]], 1/183936614400], [[[1, 14], [2, 1], [5, 1], [7, 1]], 225553/8583708672000], [[[1, 14], [2, 1], [7, 1], [8, 1]], 1/3901685760], [[[1, 14], [2, 3], [3, 1], [4, 3]], 134549/3923981107200], [[[1, 14], [2, 3], [3, 1], [6, 3]], 1/25082265600], [[[1, 14], [2, 3], [3, 1], [7, 1]], 47507/234101145600], [[[1, 14], [2, 3], [3, 1], [9, 1]], 2183/66886041600], [[[1, 14], [2, 3], [3, 1], [14, 1]], 79/1046139494400], [[[1, 14], [2, 3], [3, 2], [4, 2]], 26989/107017666560], [[[1, 14], [2, 3], [3, 2], [5, 1]], 3823643/7357464576000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 24467/1605264998400], [[[1, 14], [2, 3], [3, 2], [8, 1]], 2789/275904921600], [[[1, 14], [2, 3], [3, 2], [10, 1]], 1/435456000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 22273/48157949952], [[[1, 14], [2, 3], [3, 3], [6, 1]], 661393/2407897497600], [[[1, 14], [2, 3], [4, 1], [7, 1]], 187543/1872809164800], [[[1, 14], [2, 3], [4, 1], [14, 1]], 1/107296358400], [[[1, 14], [2, 3], [4, 2], [5, 1]], 244649/2452488192000], [[[1, 14], [2, 3], [4, 2], [8, 1]], 34139/1121137459200], [[[1, 14], [2, 3], [4, 2], [10, 1]], 67/306561024000], [[[1, 14], [2, 3], [4, 2], [12, 1]], 157/367873228800], [[[1, 14], [2, 3], [4, 3], [6, 1]], 31/91968307200], [[[1, 14], [2, 3], [5, 1], [6, 2]], 29/114960384000], [[[1, 14], [2, 3], [5, 1], [8, 1]], 691/153280512000], [[[1, 14], [2, 3], [5, 1], [10, 1]], 481/36495360000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 1/477757440], [[[1, 14], [2, 5], [3, 1], [4, 2]], 106594907/183642315816960], [[[1, 14], [2, 5], [3, 1], [5, 1]], 20593033/58859716608000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 662029/86082335539200], [[[1, 14], [2, 5], [3, 1], [8, 1]], 17483/1471492915200], [[[1, 14], [2, 5], [3, 1], [10, 1]], 6067/1120863744000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 132636769/176579149824000], [[[1, 14], [2, 5], [3, 2], [6, 1]], 9467/28028436480], [[[1, 14], [2, 5], [4, 1], [5, 1]], 6901321/21021327360000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 281/367873228800], [[[1, 14], [2, 5], [4, 1], [8, 1]], 1587881/23543886643200], [[[1, 14], [2, 5], [4, 1], [10, 1]], 11729/3678732288000], [[[1, 14], [2, 5], [4, 1], [12, 1]], 7/9555148800], [[[1, 14], [2, 5], [4, 2], [6, 1]], 551/59454259200], [[[1, 14], [2, 5], [5, 1], [6, 1]], 83/7185024000], [[[1, 14], [2, 5], [6, 1], [8, 1]], 7/19110297600], [[[1, 14], [2, 5], [6, 1], [10, 1]], 23/459841536000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 1718819/5350883328000], [[[1, 14], [2, 7], [3, 1], [6, 1]], 227292049/2504213397504000], [[[1, 14], [2, 7], [4, 1], [6, 1]], 1375697/78479622144000], [[[1, 15], [2, 2], [3, 1], [4, 3]], 117769/229552894771200], [[[1, 15], [2, 2], [3, 1], [7, 1]], 659/35765452800], [[[1, 15], [2, 2], [3, 1], [9, 1]], 53/22295347200], [[[1, 15], [2, 2], [3, 1], [14, 1]], 1/1046139494400], [[[1, 15], [2, 2], [3, 2], [4, 2]], 101209/11771943321600], [[[1, 15], [2, 2], [3, 2], [5, 1]], 1907/31850496000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 193/687970713600], [[[1, 15], [2, 2], [3, 2], [8, 1]], 323/597793996800], [[[1, 15], [2, 2], [3, 2], [10, 1]], 1/20901888000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 719/20065812480], [[[1, 15], [2, 2], [3, 3], [6, 1]], 41299/2407897497600], [[[1, 15], [2, 2], [4, 1], [7, 1]], 11663/2288988979200], [[[1, 15], [2, 2], [4, 2], [5, 1]], 1189/392398110720], [[[1, 15], [2, 2], [4, 2], [8, 1]], 5531/7847962214400], [[[1, 15], [2, 2], [4, 2], [10, 1]], 1/306561024000], [[[1, 15], [2, 2], [4, 2], [12, 1]], 1/121732595712], [[[1, 15], [2, 2], [5, 1], [6, 2]], 1/229920768000], [[[1, 15], [2, 2], [5, 1], [8, 1]], 31/153280512000], [[[1, 15], [2, 2], [5, 1], [10, 1]], 73/145981440000], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/23410114560], [[[1, 15], [2, 4], [3, 1], [4, 2]], 934097/14126331985920], [[[1, 15], [2, 4], [3, 1], [5, 1]], 4541093/58859716608000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 1147/2869411184640], [[[1, 15], [2, 4], [3, 1], [8, 1]], 42199/28694111846400], [[[1, 15], [2, 4], [3, 1], [10, 1]], 893/2241727488000], [[[1, 15], [2, 4], [3, 2], [4, 1]], 1438687/10434222489600], [[[1, 15], [2, 4], [3, 2], [6, 1]], 8319359/172164671078400], [[[1, 15], [2, 4], [4, 1], [5, 1]], 712109/14714929152000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 23/735746457600], [[[1, 15], [2, 4], [4, 1], [8, 1]], 1288915/171399494762496], [[[1, 15], [2, 4], [4, 1], [10, 1]], 23/153280512000], [[[1, 15], [2, 4], [4, 1], [12, 1]], 23/367873228800], [[[1, 15], [2, 4], [4, 2], [6, 1]], 56803/107124684226560], [[[1, 15], [2, 4], [5, 1], [6, 1]], 577/613122048000], [[[1, 15], [2, 4], [6, 1], [8, 1]], 23/735746457600], [[[1, 15], [2, 4], [6, 1], [10, 1]], 31/13948526592000], [[[1, 15], [2, 6], [3, 1], [4, 1]], 310569089/3060705263616000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 198297739/9182115790848000], [[[1, 15], [2, 6], [4, 1], [6, 1]], 1403/588597166080], [[[1, 15], [3, 1], [4, 2], [5, 1]], 181/2452488192000], [[[1, 15], [3, 1], [4, 2], [12, 1]], 1/1793381990400], [[[1, 15], [3, 2], [4, 1], [8, 1]], 1/33443020800], [[[1, 15], [4, 1], [5, 1], [8, 1]], 1/102187008000], [[[1, 16], [2, 1], [3, 1], [4, 3]], 2329/229552894771200], [[[1, 16], [2, 1], [3, 1], [7, 1]], 3319/4184557977600], [[[1, 16], [2, 1], [3, 1], [9, 1]], 13/156067430400], [[[1, 16], [2, 1], [3, 2], [4, 2]], 59/1416993177600], [[[1, 16], [2, 1], [3, 2], [5, 1]], 303727/95647039488000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 7/683193139200], [[[1, 16], [2, 1], [3, 3], [4, 1]], 127/133772083200], [[[1, 16], [2, 1], [3, 3], [6, 1]], 101/267544166400], [[[1, 16], [2, 1], [4, 1], [7, 1]], 647/6866966937600], [[[1, 16], [2, 1], [4, 2], [5, 1]], 17/1226244096000], [[[1, 16], [2, 1], [4, 2], [8, 1]], 1/980995276800], [[[1, 16], [2, 1], [4, 2], [12, 1]], 11/182598893568000], [[[1, 16], [2, 1], [5, 1], [8, 1]], 1/306561024000], [[[1, 16], [2, 1], [5, 1], [10, 1]], 1/148635648000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 361393/102023508787200], [[[1, 16], [2, 3], [3, 1], [5, 1]], 57077/6072827904000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 251/28694111846400], [[[1, 16], [2, 3], [3, 1], [8, 1]], 3833/40171756584960], [[[1, 16], [2, 3], [3, 1], [10, 1]], 1/73801728000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 1477109/114776447385600], [[[1, 16], [2, 3], [3, 2], [6, 1]], 6301/1739037081600], [[[1, 16], [2, 3], [4, 1], [5, 1]], 90847/24346519142400], [[[1, 16], [2, 3], [4, 1], [6, 2]], 1/2207239372800], [[[1, 16], [2, 3], [4, 1], [8, 1]], 9767497/21424936845312000], [[[1, 16], [2, 3], [4, 1], [10, 1]], 23/6974263296000], [[[1, 16], [2, 3], [4, 1], [12, 1]], 31/11158821273600], [[[1, 16], [2, 3], [4, 2], [6, 1]], 265841/16068702633984000], [[[1, 16], [2, 3], [5, 1], [6, 1]], 17/459841536000], [[[1, 16], [2, 3], [6, 1], [8, 1]], 31/22317642547200], [[[1, 16], [2, 3], [6, 1], [10, 1]], 11/228248616960000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 106586891/5843164594176000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 12903557/4284987369062400], [[[1, 16], [2, 5], [4, 1], [6, 1]], 13297/73039557427200], [[[1, 17], [2, 2], [3, 1], [4, 2]], 31387/428498736906240], [[[1, 17], [2, 2], [3, 1], [5, 1]], 60947/99189522432000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 1/21520583884800], [[[1, 17], [2, 2], [3, 1], [8, 1]], 4007/1339058552832000], [[[1, 17], [2, 2], [3, 1], [10, 1]], 1/5977939968000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 27319/47823519744000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 264857/2008587829248000], [[[1, 17], [2, 2], [4, 1], [5, 1]], 309901/2231764254720000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 84653/6121410527232000], [[[1, 17], [2, 2], [4, 1], [10, 1]], 11/304331489280000], [[[1, 17], [2, 2], [4, 1], [12, 1]], 11/182598893568000], [[[1, 17], [2, 2], [4, 2], [6, 1]], 331/1460791148544000], [[[1, 17], [2, 2], [5, 1], [6, 1]], 1/1839366144000], [[[1, 17], [2, 2], [6, 1], [8, 1]], 11/365197787136000], [[[1, 17], [2, 2], [6, 1], [10, 1]], 1/2510734786560000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 59585809/32137405267968000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 336313/1377317368627200], [[[1, 17], [2, 4], [4, 1], [6, 1]], 1931/247210809753600], [[[1, 17], [3, 1], [4, 1], [8, 1]], 1/9564703948800], [[[1, 18], [2, 1], [3, 1], [4, 2]], 551/2678117105664000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 16117/811550638080000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 47/1339058552832000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 2413/255058771968000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 2423/1339058552832000], [[[1, 18], [2, 1], [4, 1], [5, 1]], 953/495947612160000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 6991/42849873690624000], [[[1, 18], [2, 1], [4, 1], [10, 1]], 1/3347646382080000], [[[1, 18], [2, 1], [4, 1], [12, 1]], 1/2008587829248000], [[[1, 18], [2, 1], [6, 1], [8, 1]], 1/4017175658496000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 3334321/32137405267968000], [[[1, 18], [2, 3], [3, 1], [6, 1]], 717449/64274810535936000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 431/2295528947712000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 62921/21424936845312000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 941/3570822807552000], [[[1, 19], [2, 2], [4, 1], [6, 1]], 127/48206107901952000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 1/30916214784000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 53/21424936845312000], [[[1, 20], [2, 1], [4, 1], [6, 1]], 1/48206107901952000], [[[2, 3], [4, 4], [6, 1], [26, 1]], 1/479232], [[[2, 3], [4, 4], [10, 1], [22, 1]], 1/675840], [[[2, 3], [6, 1], [8, 2], [26, 1]], 1/9984], [[[2, 3], [8, 2], [10, 1], [22, 1]], 1/14080], [[[2, 5], [4, 2], [6, 2], [26, 1]], 1/29952], [[[2, 5], [4, 2], [10, 3], [12, 1]], 1/72000], [[[2, 5], [4, 2], [12, 1], [14, 2]], 1/18816], [[[2, 5], [4, 2], [12, 1], [26, 1]], 1/7488], [[[2, 5], [4, 4], [6, 1], [22, 1]], 1/811008], [[[2, 5], [4, 4], [6, 2], [10, 2]], 1/11059200], [[[2, 5], [4, 4], [6, 3], [14, 1]], 1/13934592], [[[2, 5], [4, 4], [6, 3], [18, 1]], 1/1990656], [[[2, 5], [6, 1], [8, 2], [22, 1]], 1/16896], [[[2, 5], [6, 1], [10, 2], [22, 1]], 1/6600], [[[2, 5], [6, 1], [14, 1], [26, 1]], 1/2184], [[[2, 5], [6, 1], [14, 2], [18, 1]], 1/3528], [[[2, 5], [6, 2], [8, 2], [10, 2]], 1/230400], [[[2, 5], [6, 2], [10, 1], [26, 1]], 1/4680], [[[2, 5], [6, 2], [10, 2], [30, 1]], 1/1800], [[[2, 5], [6, 3], [8, 2], [14, 1]], 1/290304], [[[2, 5], [6, 3], [8, 2], [18, 1]], 1/41472], [[[2, 5], [10, 1], [14, 1], [22, 1]], 1/3080], [[[2, 7], [4, 1], [8, 1], [10, 3]], 1/384000], [[[2, 7], [4, 1], [8, 1], [14, 2]], 1/100352], [[[2, 7], [4, 1], [8, 1], [26, 1]], 1/39936], [[[2, 7], [4, 2], [6, 1], [10, 3]], 1/576000], [[[2, 7], [4, 2], [6, 1], [14, 2]], 1/150528], [[[2, 7], [4, 2], [6, 1], [26, 1]], 17/958464], [[[2, 7], [4, 2], [6, 2], [22, 1]], 1/50688], [[[2, 7], [4, 2], [6, 3], [10, 2]], 1/691200], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/870912], [[[2, 7], [4, 2], [6, 4], [18, 1]], 1/124416], [[[2, 7], [4, 2], [6, 5], [12, 1]], 1/2799360], [[[2, 7], [4, 2], [10, 1], [22, 1]], 1/1351680], [[[2, 7], [4, 2], [12, 1], [22, 1]], 1/126720], [[[2, 7], [4, 4], [6, 1], [10, 2]], 1/11059200], [[[2, 7], [4, 4], [6, 2], [14, 1]], 1/9289728], [[[2, 7], [4, 4], [6, 2], [18, 1]], 1/7962624], [[[2, 7], [4, 4], [6, 3], [10, 1]], 1/19906560], [[[2, 7], [4, 4], [10, 1], [14, 1]], 1/10321920], [[[2, 7], [6, 1], [8, 2], [10, 2]], 1/230400], [[[2, 7], [6, 1], [10, 1], [14, 2]], 1/4704], [[[2, 7], [6, 1], [10, 1], [26, 1]], 1/7488], [[[2, 7], [6, 1], [10, 2], [30, 1]], 1/14400], [[[2, 7], [6, 1], [14, 1], [22, 1]], 1/3696], [[[2, 7], [6, 2], [8, 2], [14, 1]], 1/193536], [[[2, 7], [6, 2], [8, 2], [18, 1]], 1/165888], [[[2, 7], [6, 2], [10, 1], [22, 1]], 1/7040], [[[2, 7], [6, 2], [10, 2], [14, 1]], 1/10080], [[[2, 7], [6, 2], [10, 2], [18, 1]], 1/10800], [[[2, 7], [6, 3], [8, 2], [10, 1]], 1/414720], [[[2, 7], [6, 3], [10, 1], [30, 1]], 1/17280], [[[2, 7], [6, 3], [14, 1], [18, 1]], 1/8064], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/136080], [[[2, 7], [6, 4], [10, 1], [18, 1]], 1/19440], [[[2, 7], [8, 2], [10, 1], [14, 1]], 1/215040], [[[2, 9], [4, 1], [6, 5], [8, 1]], 1/14929920], [[[2, 9], [4, 1], [8, 1], [22, 1]], 1/675840], [[[2, 9], [4, 2], [6, 1], [22, 1]], 13/8110080], [[[2, 9], [4, 2], [6, 2], [10, 2]], 11/7372800], [[[2, 9], [4, 2], [6, 3], [14, 1]], 7/3981312], [[[2, 9], [4, 2], [6, 3], [18, 1]], 1/442368], [[[2, 9], [4, 2], [6, 4], [10, 1]], 1/1244160], [[[2, 9], [4, 2], [6, 4], [12, 1]], 1/4478976], [[[2, 9], [4, 2], [10, 2], [12, 1]], 1/3456000], [[[2, 9], [4, 4], [6, 1], [14, 1]], 1/185794560], [[[2, 9], [4, 4], [6, 1], [18, 1]], 1/557383680], [[[2, 9], [4, 4], [6, 2], [10, 1]], 1/132710400], [[[2, 9], [6, 1], [8, 2], [14, 1]], 1/3870720], [[[2, 9], [6, 1], [8, 2], [18, 1]], 1/11612160], [[[2, 9], [6, 1], [10, 1], [22, 1]], 19/844800], [[[2, 9], [6, 1], [10, 2], [14, 1]], 1/25200], [[[2, 9], [6, 1], [10, 2], [18, 1]], 1/86400], [[[2, 9], [6, 2], [8, 2], [10, 1]], 1/2764800], [[[2, 9], [6, 2], [10, 1], [30, 1]], 1/691200], [[[2, 9], [6, 2], [14, 1], [18, 1]], 1/35840], [[[2, 9], [6, 3], [10, 1], [14, 1]], 17/544320], [[[2, 9], [6, 3], [10, 1], [18, 1]], 1/34560], [[[2, 11], [4, 1], [6, 4], [8, 1]], 1/23887872], [[[2, 11], [4, 1], [8, 1], [10, 2]], 1/18432000], [[[2, 11], [4, 2], [6, 1], [10, 2]], 1/12288000], [[[2, 11], [4, 2], [6, 2], [14, 1]], 13/92897280], [[[2, 11], [4, 2], [6, 2], [18, 1]], 17/185794560], [[[2, 11], [4, 2], [6, 3], [10, 1]], 29/199065600], [[[2, 11], [4, 2], [6, 3], [12, 1]], 1/78382080], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/20643840], [[[2, 11], [4, 2], [12, 1], [14, 1]], 1/243855360], [[[2, 11], [4, 4], [6, 1], [10, 1]], 1/7431782400], [[[2, 11], [6, 1], [8, 2], [10, 1]], 1/154828800], [[[2, 11], [6, 1], [10, 1], [30, 1]], 1/309657600], [[[2, 11], [6, 1], [14, 1], [18, 1]], 19/48168960], [[[2, 11], [6, 2], [10, 1], [14, 1]], 1/207360], [[[2, 11], [6, 2], [10, 1], [18, 1]], 59/29030400], [[[2, 13], [4, 1], [6, 3], [8, 1]], 1/418037760], [[[2, 13], [4, 1], [8, 1], [14, 1]], 1/1300561920], [[[2, 13], [4, 2], [6, 1], [14, 1]], 5/1560674304], [[[2, 13], [4, 2], [6, 1], [18, 1]], 1/1114767360], [[[2, 13], [4, 2], [6, 2], [10, 1]], 11/1857945600], [[[2, 13], [4, 2], [6, 2], [12, 1]], 1/6270566400], [[[2, 13], [4, 2], [10, 1], [12, 1]], 1/19160064000], [[[2, 13], [6, 1], [10, 1], [14, 1]], 2497/19508428800], [[[2, 13], [6, 1], [10, 1], [18, 1]], 131/5573836800], [[[2, 15], [4, 1], [6, 2], [8, 1]], 1/33443020800], [[[2, 15], [4, 1], [8, 1], [10, 1]], 1/102187008000], [[[2, 15], [4, 2], [6, 1], [10, 1]], 181/2452488192000], [[[2, 15], [4, 2], [6, 1], [12, 1]], 1/1793381990400], [[[2, 17], [4, 1], [6, 1], [8, 1]], 1/9564703948800], [[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 1/2048], [[[1, 1], [2, 2], [4, 4], [6, 1], [26, 1]], 1/479232], [[[1, 1], [2, 2], [4, 4], [10, 1], [22, 1]], 1/675840], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 1/98304], [[[1, 1], [2, 2], [6, 1], [8, 2], [26, 1]], 1/9984], [[[1, 1], [2, 2], [8, 2], [10, 1], [22, 1]], 1/14080], [[[1, 1], [2, 4], [4, 1], [8, 2], [22, 1]], 1/11264], [[[1, 1], [2, 4], [4, 1], [8, 3], [14, 1]], 1/14336], [[[1, 1], [2, 4], [4, 1], [10, 2], [22, 1]], 1/8800], [[[1, 1], [2, 4], [4, 2], [6, 2], [26, 1]], 1/29952], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 1/4096], [[[1, 1], [2, 4], [4, 2], [10, 3], [12, 1]], 1/72000], [[[1, 1], [2, 4], [4, 2], [12, 1], [14, 2]], 1/9408], [[[1, 1], [2, 4], [4, 2], [12, 1], [26, 1]], 1/1872], [[[1, 1], [2, 4], [4, 3], [6, 1], [26, 1]], 7/119808], [[[1, 1], [2, 4], [4, 3], [10, 1], [22, 1]], 7/168960], [[[1, 1], [2, 4], [4, 3], [12, 1], [22, 1]], 1/4224], [[[1, 1], [2, 4], [4, 4], [5, 1], [10, 2]], 1/614400], [[[1, 1], [2, 4], [4, 4], [6, 1], [22, 1]], 1/405504], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 2]], 1/11059200], [[[1, 1], [2, 4], [4, 4], [6, 3], [14, 1]], 1/13934592], [[[1, 1], [2, 4], [4, 4], [6, 3], [18, 1]], 1/1990656], [[[1, 1], [2, 4], [4, 4], [7, 1], [14, 1]], 1/344064], [[[1, 1], [2, 4], [4, 5], [6, 2], [18, 1]], 1/1327104], [[[1, 1], [2, 4], [4, 5], [8, 1], [14, 1]], 1/688128], [[[1, 1], [2, 4], [4, 5], [10, 1], [14, 1]], 1/1720320], [[[1, 1], [2, 4], [5, 1], [8, 2], [10, 2]], 1/12800], [[[1, 1], [2, 4], [6, 1], [8, 2], [22, 1]], 1/8448], [[[1, 1], [2, 4], [6, 1], [10, 2], [22, 1]], 1/6600], [[[1, 1], [2, 4], [6, 1], [14, 1], [26, 1]], 1/2184], [[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/3528], [[[1, 1], [2, 4], [6, 2], [8, 1], [26, 1]], 1/7488], [[[1, 1], [2, 4], [6, 2], [8, 2], [10, 2]], 1/230400], [[[1, 1], [2, 4], [6, 2], [10, 1], [26, 1]], 1/4680], [[[1, 1], [2, 4], [6, 2], [10, 2], [30, 1]], 1/1800], [[[1, 1], [2, 4], [6, 3], [8, 2], [14, 1]], 1/290304], [[[1, 1], [2, 4], [6, 3], [8, 2], [18, 1]], 1/41472], [[[1, 1], [2, 4], [7, 1], [8, 2], [14, 1]], 1/7168], [[[1, 1], [2, 4], [10, 1], [14, 1], [22, 1]], 1/3080], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 4]], 1/11943936], [[[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, 2], [26, 1]], 1/7488], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 2]], 1/248832], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 3]], 1/144000], [[[1, 1], [2, 6], [3, 1], [8, 1], [14, 2]], 1/37632], [[[1, 1], [2, 6], [3, 1], [8, 1], [26, 1]], 1/14976], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 3]], 1/120000], [[[1, 1], [2, 6], [4, 1], [5, 1], [14, 2]], 1/31360], [[[1, 1], [2, 6], [4, 1], [5, 1], [26, 1]], 1/12480], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 1/73728], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/144000], [[[1, 1], [2, 6], [4, 1], [6, 2], [26, 1]], 5/29952], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 1/1990656], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 19/384000], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 13/25088], [[[1, 1], [2, 6], [4, 1], [8, 1], [26, 1]], 11/19968], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 1/102400], [[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 1/61440], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/6272], [[[1, 1], [2, 6], [4, 1], [10, 1], [26, 1]], 1/12480], [[[1, 1], [2, 6], [4, 1], [10, 3], [12, 1]], 1/72000], [[[1, 1], [2, 6], [4, 1], [12, 1], [14, 2]], 1/18816], [[[1, 1], [2, 6], [4, 1], [12, 1], [26, 1]], 1/7488], [[[1, 1], [2, 6], [4, 1], [14, 1], [22, 1]], 1/2464], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/576000], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [4, 2], [6, 1], [26, 1]], 77/958464], [[[1, 1], [2, 6], [4, 2], [6, 2], [22, 1]], 1/25344], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/691200], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/870912], [[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/124416], [[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 1/2799360], [[[1, 1], [2, 6], [4, 2], [8, 1], [22, 1]], 1/22528], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1/28672], [[[1, 1], [2, 6], [4, 2], [10, 1], [22, 1]], 13/1351680], [[[1, 1], [2, 6], [4, 2], [12, 1], [22, 1]], 1/11520], [[[1, 1], [2, 6], [4, 3], [6, 1], [22, 1]], 13/202752], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 7/2764800], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/497664], [[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 13/497664], [[[1, 1], [2, 6], [4, 3], [6, 4], [12, 1]], 1/746496], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 1/196608], [[[1, 1], [2, 6], [4, 3], [10, 2], [12, 1]], 1/38400], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 1/2764800], [[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 1/2322432], [[[1, 1], [2, 6], [4, 4], [6, 2], [18, 1]], 7/7962624], [[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 1/9953280], [[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 1/1474560], [[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 1/2064384], [[[1, 1], [2, 6], [4, 5], [6, 1], [18, 1]], 1/2654208], [[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 1/3538944], [[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 1/4423680], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 1/2949120], [[[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]], 1/144000], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/37632], [[[1, 1], [2, 6], [6, 1], [8, 1], [26, 1]], 5/59904], [[[1, 1], [2, 6], [6, 1], [8, 2], [10, 2]], 1/57600], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/3920], [[[1, 1], [2, 6], [6, 1], [10, 1], [26, 1]], 23/37440], [[[1, 1], [2, 6], [6, 1], [10, 2], [30, 1]], 7/14400], [[[1, 1], [2, 6], [6, 1], [14, 1], [22, 1]], 1/1848], [[[1, 1], [2, 6], [6, 2], [8, 1], [22, 1]], 1/12672], [[[1, 1], [2, 6], [6, 2], [8, 2], [14, 1]], 1/48384], [[[1, 1], [2, 6], [6, 2], [8, 2], [18, 1]], 7/165888], [[[1, 1], [2, 6], [6, 2], [10, 1], [22, 1]], 19/63360], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/10080], [[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 1/5400], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/172800], [[[1, 1], [2, 6], [6, 3], [8, 2], [10, 1]], 1/207360], [[[1, 1], [2, 6], [6, 3], [10, 1], [30, 1]], 1/5760], [[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 11/72576], [[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 1/217728], [[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/31104], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/136080], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/19440], [[[1, 1], [2, 6], [8, 1], [10, 1], [22, 1]], 1/84480], [[[1, 1], [2, 6], [8, 2], [10, 1], [14, 1]], 1/30720], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/8398080], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/1728000], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/451584], [[[1, 1], [2, 8], [3, 1], [4, 1], [26, 1]], 1/179712], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/746496], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/31850496], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/96000], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 11/112896], [[[1, 1], [2, 8], [3, 1], [6, 1], [26, 1]], 1/14976], [[[1, 1], [2, 8], [3, 1], [6, 2], [22, 1]], 1/12672], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 2]], 1/663552], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 19/345600], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 13/435456], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/20736], [[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 1/5598720], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/116640], [[[1, 1], [2, 8], [3, 1], [8, 1], [22, 1]], 1/253440], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 1/4665600], [[[1, 1], [2, 8], [4, 1], [5, 1], [22, 1]], 1/211200], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 1/737280], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 7/192000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 1/7168], [[[1, 1], [2, 8], [4, 1], [6, 1], [26, 1]], 211/2396160], [[[1, 1], [2, 8], [4, 1], [6, 2], [22, 1]], 1/8448], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 1/995328], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 71/2073600], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/124416], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1/20736], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 19/14929920], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/777600], [[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 1/2799360], [[[1, 1], [2, 8], [4, 1], [8, 1], [22, 1]], 29/675840], [[[1, 1], [2, 8], [4, 1], [8, 2], [14, 1]], 1/860160], [[[1, 1], [2, 8], [4, 1], [10, 1], [22, 1]], 107/3379200], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/16800], [[[1, 1], [2, 8], [4, 1], [12, 1], [22, 1]], 1/126720], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 1/1228800], [[[1, 1], [2, 8], [4, 2], [6, 1], [22, 1]], 79/4055040], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 1/147456], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 47/7372800], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 205/27869184], [[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 23/1327104], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 1/3981312], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/622080], [[[1, 1], [2, 8], [4, 2], [6, 4], [12, 1]], 7/4478976], [[[1, 1], [2, 8], [4, 2], [7, 1], [14, 1]], 1/688128], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 1/204800], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/122880], [[[1, 1], [2, 8], [4, 2], [10, 2], [12, 1]], 1/216000], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/172800], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 25/2322432], [[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 79/7962624], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/221184], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 5/995328], [[[1, 1], [2, 8], [4, 3], [6, 3], [12, 1]], 1/373248], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/1376256], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 31/10321920], [[[1, 1], [2, 8], [4, 3], [12, 1], [14, 1]], 1/322560], [[[1, 1], [2, 8], [4, 4], [5, 1], [10, 1]], 1/88473600], [[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 1/11612160], [[[1, 1], [2, 8], [4, 4], [6, 1], [18, 1]], 11/278691840], [[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 11/132710400], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 1/35389440], [[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/17694720], [[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 1/14400], [[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 1/207360], [[[1, 1], [2, 8], [5, 1], [8, 2], [10, 1]], 1/1843200], [[[1, 1], [2, 8], [6, 1], [8, 1], [22, 1]], 7/506880], [[[1, 1], [2, 8], [6, 1], [8, 2], [14, 1]], 1/241920], [[[1, 1], [2, 8], [6, 1], [8, 2], [18, 1]], 11/5806080], [[[1, 1], [2, 8], [6, 1], [10, 1], [22, 1]], 47/230400], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 11/50400], [[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 1/10800], [[[1, 1], [2, 8], [6, 2], [7, 1], [14, 1]], 1/32256], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 1/153600], [[[1, 1], [2, 8], [6, 2], [8, 2], [10, 1]], 11/2764800], [[[1, 1], [2, 8], [6, 2], [10, 1], [30, 1]], 7/230400], [[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 83/414720], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 13/1741824], [[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 1/82944], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 53/544320], [[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 1/5760], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 1], [2, 8], [7, 1], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/11197440], [[[1, 1], [2, 10], [3, 1], [4, 1], [22, 1]], 1/3041280], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 13/23887872], [[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 1/1114767360], [[[1, 1], [2, 10], [3, 1], [6, 1], [22, 1]], 1/253440], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 2]], 1/23224320], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 193/13824000], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 101/5806080], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 7/829440], [[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 1/8957952], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 23/1866240], [[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 1/6912000], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 1/7464960], [[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 1/5760000], [[[1, 1], [2, 10], [4, 1], [6, 1], [22, 1]], 1/122880], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 1/13271040], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1043/55296000], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 1291/69672960], [[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 17/1105920], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 97/23887872], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 11/1244160], [[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 1/4478976], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 19/3072000], [[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/165150720], [[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 1/25804800], [[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 1/3456000], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 1/1474560], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 1/768000], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 13/5806080], [[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 113/61931520], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 1/1990656], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 167/99532800], [[[1, 1], [2, 10], [4, 2], [6, 3], [12, 1]], 11/39191040], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 1/1720320], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 19/20643840], [[[1, 1], [2, 10], [4, 2], [12, 1], [14, 1]], 37/243855360], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 29/37158912], [[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 19/79626240], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 7/11796480], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 163/132710400], [[[1, 1], [2, 10], [4, 3], [6, 2], [12, 1]], 1/4976640], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/5898240], [[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 1/30965760], [[[1, 1], [2, 10], [4, 3], [10, 1], [12, 1]], 1/9676800], [[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 29/7431782400], [[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 17/2304000], [[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 41/8294400], [[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/403200], [[[1, 1], [2, 10], [6, 1], [7, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/1152000], [[[1, 1], [2, 10], [6, 1], [8, 2], [10, 1]], 29/154828800], [[[1, 1], [2, 10], [6, 1], [10, 1], [30, 1]], 19/103219200], [[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 11321/1300561920], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 1/829440], [[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 13/11612160], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 79/1451520], [[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 439/14515200], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 11/12441600], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 17/1254113280], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/82944000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 67/2229534720], [[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 1/267544166400], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 2]], 1/5573836800], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 2689/6193152000], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1633/2601123840], [[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 43/371589120], [[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 1/156764160], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 233/174182400], [[[1, 1], [2, 12], [3, 1], [8, 1], [14, 1]], 1/487710720], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 1/130636800], [[[1, 1], [2, 12], [4, 1], [5, 1], [14, 1]], 1/406425600], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 1/1114767360], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 121/96768000], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 13/9289728], [[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 43/82575360], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 79/167215104], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 421/232243200], [[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 1/78382080], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 205/2080899072], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 18289/26011238400], [[[1, 1], [2, 12], [4, 1], [12, 1], [14, 1]], 1/243855360], [[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 1/176947200], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 23/243855360], [[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 17/557383680], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 1/26542080], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 277/1857945600], [[[1, 1], [2, 12], [4, 2], [6, 2], [12, 1]], 23/3135283200], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 1/51609600], [[[1, 1], [2, 12], [4, 2], [10, 1], [12, 1]], 1/342144000], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/55050240], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 167/3715891200], [[[1, 1], [2, 12], [4, 3], [6, 1], [12, 1]], 1/418037760], [[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 299/1238630400], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 11/243855360], [[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 1/69672960], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 62761/19508428800], [[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 1879/2786918400], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 1/14515200], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 11/18811699200], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/5852528640], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 17/33443020800], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 239/78033715200], [[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 1/12541132800], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 4477/167215104000], [[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 1/38320128000], [[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 1/10450944000], [[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 1/31933440000], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 563/22295347200], [[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 31/7431782400], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 3293/267544166400], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 8167/111476736000], [[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 1/6270566400], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 3397/817496064000], [[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 1/19160064000], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 1/2229534720], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 7661/2452488192000], [[[1, 1], [2, 14], [4, 2], [6, 1], [12, 1]], 79/1793381990400], [[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 61/18579456000], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 169/153280512000], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 7/1024789708800], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/459841536000], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/535088332800], [[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 1/3586763980800], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 643/7357464576000], [[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 1/2988969984000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 7211/76517631590400], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 7483/9109241856000], [[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 1/1793381990400], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 47/2008587829248000], [[[1, 2], [2, 1], [3, 1], [4, 4], [13, 1]], 1/479232], [[[1, 2], [2, 1], [3, 1], [8, 2], [13, 1]], 1/9984], [[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 1/2048], [[[1, 2], [2, 1], [4, 4], [5, 1], [11, 1]], 1/675840], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 1/98304], [[[1, 2], [2, 1], [5, 1], [8, 2], [11, 1]], 1/14080], [[[1, 2], [2, 3], [3, 1], [13, 1], [14, 1]], 1/2184], [[[1, 2], [2, 3], [4, 1], [8, 2], [22, 1]], 1/11264], [[[1, 2], [2, 3], [4, 1], [8, 3], [14, 1]], 1/14336], [[[1, 2], [2, 3], [4, 1], [10, 2], [22, 1]], 1/8800], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 19/4096], [[[1, 2], [2, 3], [4, 2], [12, 1], [14, 2]], 1/18816], [[[1, 2], [2, 3], [4, 2], [12, 1], [26, 1]], 1/2496], [[[1, 2], [2, 3], [4, 3], [6, 1], [26, 1]], 7/119808], [[[1, 2], [2, 3], [4, 3], [10, 1], [22, 1]], 7/168960], [[[1, 2], [2, 3], [4, 3], [12, 1], [22, 1]], 1/4224], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 2]], 1/614400], [[[1, 2], [2, 3], [4, 4], [6, 1], [22, 1]], 1/811008], [[[1, 2], [2, 3], [4, 4], [7, 1], [14, 1]], 1/114688], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 7/24576], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1/6144], [[[1, 2], [2, 3], [4, 5], [6, 2], [18, 1]], 1/1327104], [[[1, 2], [2, 3], [4, 5], [8, 1], [14, 1]], 1/688128], [[[1, 2], [2, 3], [4, 5], [10, 1], [14, 1]], 1/1720320], [[[1, 2], [2, 3], [5, 1], [8, 2], [10, 2]], 1/12800], [[[1, 2], [2, 3], [5, 1], [11, 1], [14, 1]], 1/3080], [[[1, 2], [2, 3], [6, 1], [7, 1], [26, 1]], 1/2184], [[[1, 2], [2, 3], [6, 1], [8, 2], [22, 1]], 1/16896], [[[1, 2], [2, 3], [6, 2], [8, 1], [26, 1]], 1/7488], [[[1, 2], [2, 3], [7, 1], [8, 2], [14, 1]], 3/7168], [[[1, 2], [2, 3], [7, 1], [10, 1], [22, 1]], 1/3080], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 3]], 1/576000], [[[1, 2], [2, 5], [3, 1], [4, 2], [13, 1]], 1/958464], [[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 1/150528], [[[1, 2], [2, 5], [3, 1], [4, 2], [26, 1]], 1/59904], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 4]], 1/11943936], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 3]], 1/5308416], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 3]], 1/90000], [[[1, 2], [2, 5], [3, 1], [5, 1], [14, 2]], 1/23520], [[[1, 2], [2, 5], [3, 1], [5, 1], [26, 1]], 1/9360], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 1/36000], [[[1, 2], [2, 5], [3, 1], [6, 2], [13, 1]], 1/44928], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/7056], [[[1, 2], [2, 5], [3, 1], [6, 2], [26, 1]], 11/22464], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 2]], 1/248832], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 3]], 1/144000], [[[1, 2], [2, 5], [3, 1], [8, 1], [14, 2]], 1/18816], [[[1, 2], [2, 5], [3, 1], [8, 1], [26, 1]], 1/3744], [[[1, 2], [2, 5], [3, 1], [10, 1], [13, 1]], 1/37440], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 1/2654208], [[[1, 2], [2, 5], [3, 2], [6, 1], [26, 1]], 1/44928], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 2]], 1/55296], [[[1, 2], [2, 5], [3, 2], [10, 1], [22, 1]], 1/63360], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 1/7500], [[[1, 2], [2, 5], [4, 1], [5, 1], [14, 2]], 1/15680], [[[1, 2], [2, 5], [4, 1], [5, 1], [26, 1]], 1/3120], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 1/8000], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 1/36864], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/144000], [[[1, 2], [2, 5], [4, 1], [6, 2], [26, 1]], 7/29952], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 1/1990656], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 19/384000], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 5/7168], [[[1, 2], [2, 5], [4, 1], [8, 1], [26, 1]], 19/9984], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/51200], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 1/12288], [[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 1/15360], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 3/15680], [[[1, 2], [2, 5], [4, 1], [10, 1], [26, 1]], 1/3120], [[[1, 2], [2, 5], [4, 1], [10, 3], [12, 1]], 1/72000], [[[1, 2], [2, 5], [4, 1], [12, 1], [14, 2]], 1/9408], [[[1, 2], [2, 5], [4, 1], [12, 1], [26, 1]], 1/1872], [[[1, 2], [2, 5], [4, 1], [14, 1], [22, 1]], 1/2464], [[[1, 2], [2, 5], [4, 2], [5, 1], [11, 1]], 1/1351680], [[[1, 2], [2, 5], [4, 2], [5, 1], [22, 1]], 1/7040], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 1/24576], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/150528], [[[1, 2], [2, 5], [4, 2], [6, 1], [26, 1]], 15/53248], [[[1, 2], [2, 5], [4, 2], [6, 2], [22, 1]], 1/50688], [[[1, 2], [2, 5], [4, 2], [8, 1], [22, 1]], 19/22528], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 55/57344], [[[1, 2], [2, 5], [4, 2], [10, 1], [22, 1]], 69/225280], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/22400], [[[1, 2], [2, 5], [4, 2], [12, 1], [22, 1]], 1/2304], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 7/153600], [[[1, 2], [2, 5], [4, 3], [6, 1], [22, 1]], 5/50688], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 7/2764800], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 1/497664], [[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 13/497664], [[[1, 2], [2, 5], [4, 3], [6, 4], [12, 1]], 1/746496], [[[1, 2], [2, 5], [4, 3], [7, 1], [14, 1]], 1/12288], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 13/196608], [[[1, 2], [2, 5], [4, 3], [10, 2], [12, 1]], 1/19200], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 1/49152], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 1/3686400], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/3096576], [[[1, 2], [2, 5], [4, 4], [6, 2], [18, 1]], 59/2654208], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 1/19906560], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 1/24576], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 59/3440640], [[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [4, 5], [5, 1], [10, 1]], 1/983040], [[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 1/1032192], [[[1, 2], [2, 5], [4, 5], [6, 1], [18, 1]], 1/663552], [[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 1/1769472], [[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 1/4423680], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 1/737280], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 1/1179648], [[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 1/5898240], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 1/6000], [[[1, 2], [2, 5], [5, 1], [6, 1], [26, 1]], 1/12480], [[[1, 2], [2, 5], [5, 1], [6, 2], [11, 1]], 1/63360], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/21600], [[[1, 2], [2, 5], [5, 1], [10, 1], [11, 1]], 1/52800], [[[1, 2], [2, 5], [5, 1], [10, 1], [22, 1]], 1/17600], [[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/2800], [[[1, 2], [2, 5], [6, 1], [7, 1], [22, 1]], 1/3696], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/144000], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/18816], [[[1, 2], [2, 5], [6, 1], [8, 1], [26, 1]], 23/59904], [[[1, 2], [2, 5], [6, 1], [8, 2], [10, 2]], 1/76800], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/23520], [[[1, 2], [2, 5], [6, 1], [10, 1], [26, 1]], 7/12480], [[[1, 2], [2, 5], [6, 1], [10, 2], [30, 1]], 1/1600], [[[1, 2], [2, 5], [6, 1], [14, 1], [22, 1]], 1/3696], [[[1, 2], [2, 5], [6, 2], [7, 1], [10, 2]], 1/50400], [[[1, 2], [2, 5], [6, 2], [8, 1], [22, 1]], 1/6336], [[[1, 2], [2, 5], [6, 2], [8, 2], [14, 1]], 1/64512], [[[1, 2], [2, 5], [6, 2], [8, 2], [18, 1]], 1/18432], [[[1, 2], [2, 5], [6, 2], [10, 1], [22, 1]], 1/5760], [[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 1/63504], [[[1, 2], [2, 5], [6, 3], [7, 1], [18, 1]], 1/9072], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/172800], [[[1, 2], [2, 5], [6, 3], [8, 2], [10, 1]], 1/414720], [[[1, 2], [2, 5], [6, 3], [10, 1], [30, 1]], 1/5760], [[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 1/24192], [[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 1/217728], [[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/31104], [[[1, 2], [2, 5], [8, 1], [10, 1], [22, 1]], 7/84480], [[[1, 2], [2, 5], [8, 2], [10, 1], [14, 1]], 3/71680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 1/8398080], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 7/1728000], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/56448], [[[1, 2], [2, 7], [3, 1], [4, 1], [26, 1]], 5/89856], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 41/22394880], [[[1, 2], [2, 7], [3, 1], [4, 2], [22, 1]], 1/92160], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/186624], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 7/31850496], [[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 1/5308416], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 5]], 1/3499200], [[[1, 2], [2, 7], [3, 1], [5, 1], [22, 1]], 1/158400], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 43/864000], [[[1, 2], [2, 7], [3, 1], [6, 1], [13, 1]], 1/1797120], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 23/56448], [[[1, 2], [2, 7], [3, 1], [6, 1], [26, 1]], 161/359424], [[[1, 2], [2, 7], [3, 1], [6, 2], [22, 1]], 7/19008], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 7/663552], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 127/1036800], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 73/1306368], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 31/186624], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 31/5598720], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/116640], [[[1, 2], [2, 7], [3, 1], [8, 1], [22, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [10, 1], [22, 1]], 1/506880], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 1/279936], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/165888], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 1/21233664], [[[1, 2], [2, 7], [3, 2], [6, 1], [22, 1]], 1/76032], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 1/442368], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 19/1036800], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 163/1306368], [[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 19/186624], [[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 1/186624], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 1/25920], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 1/4665600], [[[1, 2], [2, 7], [4, 1], [5, 1], [22, 1]], 1/19200], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 11/737280], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 47/576000], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 11/37632], [[[1, 2], [2, 7], [4, 1], [6, 1], [26, 1]], 1031/2396160], [[[1, 2], [2, 7], [4, 1], [6, 2], [22, 1]], 5/16896], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 11/497664], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 17/414720], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 1/96768], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 5/62208], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 29/14929920], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/777600], [[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 1/2799360], [[[1, 2], [2, 7], [4, 1], [8, 1], [22, 1]], 39/112640], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 1/40960], [[[1, 2], [2, 7], [4, 1], [10, 1], [22, 1]], 887/3379200], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 13/67200], [[[1, 2], [2, 7], [4, 1], [12, 1], [22, 1]], 1/11520], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 1/1244160], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 161/6144000], [[[1, 2], [2, 7], [4, 2], [6, 1], [22, 1]], 515/1622016], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 5/32768], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 181/3686400], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 61/4644864], [[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 89/663552], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 19/3981312], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/622080], [[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 5/1492992], [[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 5/229376], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 19/153600], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 11/491520], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 49/245760], [[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 1/23040], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 1/49152], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 23/1382400], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/36288], [[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 427/7962624], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/155520], [[[1, 2], [2, 7], [4, 3], [6, 3], [12, 1]], 1/93312], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 25/1376256], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 47/2064384], [[[1, 2], [2, 7], [4, 3], [12, 1], [14, 1]], 11/322560], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/5529600], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 61/3096576], [[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 143/13271040], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 19/884736], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 49/5308416], [[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 1/110592], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 7/737280], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 1/73728], [[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 1/92160], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 11/35389440], [[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 7/17694720], [[[1, 2], [2, 7], [5, 1], [6, 1], [11, 1]], 1/2534400], [[[1, 2], [2, 7], [5, 1], [6, 1], [22, 1]], 1/21120], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 9/32000], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/362880], [[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/51840], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1/69120], [[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 1/115200], [[[1, 2], [2, 7], [6, 1], [7, 1], [10, 2]], 1/50400], [[[1, 2], [2, 7], [6, 1], [8, 1], [22, 1]], 31/253440], [[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 1/64512], [[[1, 2], [2, 7], [6, 1], [8, 2], [18, 1]], 1/92160], [[[1, 2], [2, 7], [6, 1], [10, 1], [22, 1]], 113/253440], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1/4200], [[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1/5400], [[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 121/677376], [[[1, 2], [2, 7], [6, 2], [7, 1], [18, 1]], 1/36288], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 13/460800], [[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 1/110592], [[[1, 2], [2, 7], [6, 2], [10, 1], [30, 1]], 1/7680], [[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 1/3584], [[[1, 2], [2, 7], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 55/1741824], [[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 7/82944], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 1/12960], [[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 1/4320], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 2], [2, 7], [7, 1], [8, 1], [14, 1]], 1/43008], [[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 67/188160], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7/699840], [[[1, 2], [2, 9], [3, 1], [4, 1], [22, 1]], 17/3041280], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 361/71663616], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 31/27648000], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 127/31850496], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 11/557383680], [[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 1/212336640], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 4]], 1/5598720], [[[1, 2], [2, 9], [3, 1], [5, 1], [10, 2]], 1/4320000], [[[1, 2], [2, 9], [3, 1], [5, 1], [15, 1]], 1/309657600], [[[1, 2], [2, 9], [3, 1], [6, 1], [22, 1]], 169/3041280], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 11/11612160], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 43/384000], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 3097/26127360], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 1/11520], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 31/8957952], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 1/15552], [[[1, 2], [2, 9], [3, 1], [7, 1], [9, 1]], 1/1300561920], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 1/432000], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/559872], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 5/5308416], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 1/1036800], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1/31104], [[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/746496], [[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 1/497664], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 73/1866240], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/967680], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 7/7464960], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 311/15360000], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 1/1152000], [[[1, 2], [2, 9], [4, 1], [6, 1], [22, 1]], 3/28160], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 7/1327104], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 6103/55296000], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 1837/23224320], [[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 391/3317760], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 229/11943936], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 17/622080], [[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 7/4478976], [[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 11/1720320], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 131/2048000], [[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 19/55050240], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 23/6451200], [[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 1/216000], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 1/622080], [[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 1/537600], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/49152], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 67/1474560], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 479/6193152], [[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 289/5308416], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 85/1990656], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 1499/39813120], [[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 1/233280], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 149/3440640], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 471/11468800], [[[1, 2], [2, 9], [4, 2], [12, 1], [14, 1]], 13/2709504], [[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 73/88473600], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 187/18579456], [[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 41/9953280], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 17/1966080], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 1343/132710400], [[[1, 2], [2, 9], [4, 3], [6, 2], [12, 1]], 1/311040], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 7/1474560], [[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 29/30965760], [[[1, 2], [2, 9], [4, 3], [10, 1], [12, 1]], 11/4838400], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 103/35389440], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 811/265420800], [[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 1/1105920], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 41/460800], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 1/241920], [[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 1/207360], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 277/8294400], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 1/23040], [[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 103/5419008], [[[1, 2], [2, 9], [6, 1], [7, 1], [18, 1]], 1/2540160], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 11/1152000], [[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 17/11059200], [[[1, 2], [2, 9], [6, 1], [10, 1], [30, 1]], 11/3686400], [[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 779/15482880], [[[1, 2], [2, 9], [6, 2], [7, 1], [10, 1]], 1/604800], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 41/2903040], [[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 181/11612160], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 11/69120], [[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 7/51200], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 53/6220800], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 13/1290240], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 7913/1254113280], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 1/61931520], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 11/41472000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 15937/20065812480], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 253/1950842880], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 31/159252480], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 23/133772083200], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 3]], 1/97977600], [[[1, 2], [2, 11], [3, 1], [5, 1], [14, 1]], 1/304819200], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 23/2786918400], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 47993/6193152000], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 101387/7803371520], [[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 3401/1114767360], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 563/1254113280], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 10289/522547200], [[[1, 2], [2, 11], [3, 1], [8, 1], [14, 1]], 37/487710720], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/7741440], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 43/209018880], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/42467328], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 1/17418240], [[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 1/52254720], [[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 1/17418240], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 53/24883200], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 11/65318400], [[[1, 2], [2, 11], [4, 1], [5, 1], [14, 1]], 37/406425600], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 307/1114767360], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 3679/193536000], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 11/483840], [[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 8251/743178240], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 1483/209018880], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 359/17418240], [[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 11/39191040], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 569/212336640], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 350713/26011238400], [[[1, 2], [2, 11], [4, 1], [12, 1], [14, 1]], 37/243855360], [[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 1/8294400], [[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 1/51609600], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 341/1548288000], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 2647/433520640], [[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 127/92897280], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 293/53084160], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 2551/265420800], [[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 43/139345920], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 299/103219200], [[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/30965760], [[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 11/69672960], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 101/165150720], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 3457/3715891200], [[[1, 2], [2, 11], [4, 3], [6, 1], [12, 1]], 37/418037760], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 1/4838400], [[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1/14515200], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 33247/6193152000], [[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 2], [2, 11], [6, 1], [7, 1], [10, 1]], 1/33868800], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 499/487710720], [[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 13777/541900800], [[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 577/88473600], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 37/29030400], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 432479/1203948748800], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 43/5852528640], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 341/12541132800], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/743178240], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 661/153280512000], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 47/19110297600], [[[1, 2], [2, 13], [3, 1], [5, 1], [6, 2]], 1/7838208000], [[[1, 2], [2, 13], [3, 1], [5, 1], [10, 1]], 1/23950080000], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 8063/58525286400], [[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 1/418037760], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 139/12541132800], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 68921/83607552000], [[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 1/684288000], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 31/6270566400], [[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 1/4180377600], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 1/696729600], [[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 23/5225472000], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 111283/4087480320000], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 6977/8670412800], [[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 839/5573836800], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 7367/19110297600], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 206047/111476736000], [[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 23/3135283200], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 4429/29196288000], [[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 1/342144000], [[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1/696729600], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 12109/89181388800], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 1321/3567255552], [[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 167/45984153600], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 67/516096000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 857/21897216000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 8521/1639663534080], [[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1/367873228800], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 31/229920768000], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 24097/114776447385600], [[[1, 2], [2, 15], [3, 1], [5, 1], [6, 1]], 1/2241727488000], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 149/2869411184640], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 379/74317824000], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/50164531200], [[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 79/2988969984000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 379297/76517631590400], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 2292827/63764692992000], [[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 79/1793381990400], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 252913/16068702633984000], [[[1, 3], [2, 2], [3, 1], [4, 3], [13, 1]], 7/119808], [[[1, 3], [2, 2], [3, 1], [4, 4], [11, 1]], 1/811008], [[[1, 3], [2, 2], [3, 1], [8, 2], [11, 1]], 1/16896], [[[1, 3], [2, 2], [3, 1], [13, 1], [14, 1]], 1/2184], [[[1, 3], [2, 2], [3, 2], [4, 5], [9, 1]], 1/1327104], [[[1, 3], [2, 2], [3, 2], [8, 1], [13, 1]], 1/7488], [[[1, 3], [2, 2], [4, 1], [5, 2], [11, 1]], 1/8800], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 3]], 1/14336], [[[1, 3], [2, 2], [4, 1], [8, 2], [11, 1]], 1/11264], [[[1, 3], [2, 2], [4, 2], [7, 2], [12, 1]], 1/18816], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 19/4096], [[[1, 3], [2, 2], [4, 2], [12, 1], [13, 1]], 1/2496], [[[1, 3], [2, 2], [4, 3], [5, 1], [11, 1]], 7/168960], [[[1, 3], [2, 2], [4, 3], [11, 1], [12, 1]], 1/4224], [[[1, 3], [2, 2], [4, 4], [5, 2], [10, 1]], 1/614400], [[[1, 3], [2, 2], [4, 4], [7, 1], [14, 1]], 1/114688], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 7/24576], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1/6144], [[[1, 3], [2, 2], [4, 5], [5, 1], [7, 1]], 1/1720320], [[[1, 3], [2, 2], [4, 5], [7, 1], [8, 1]], 1/688128], [[[1, 3], [2, 2], [5, 1], [11, 1], [14, 1]], 1/3080], [[[1, 3], [2, 2], [5, 2], [8, 2], [10, 1]], 1/12800], [[[1, 3], [2, 2], [6, 1], [7, 1], [26, 1]], 1/2184], [[[1, 3], [2, 2], [7, 1], [8, 2], [14, 1]], 3/7168], [[[1, 3], [2, 2], [7, 1], [10, 1], [22, 1]], 1/3080], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 1/12288], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 3]], 1/576000], [[[1, 3], [2, 4], [3, 1], [4, 2], [13, 1]], 1/73728], [[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 1/75264], [[[1, 3], [2, 4], [3, 1], [4, 2], [26, 1]], 1/14976], [[[1, 3], [2, 4], [3, 1], [4, 3], [22, 1]], 1/33792], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 1/5308416], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 3]], 1/90000], [[[1, 3], [2, 4], [3, 1], [5, 1], [14, 2]], 1/11760], [[[1, 3], [2, 4], [3, 1], [5, 1], [26, 1]], 1/2340], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 1/6000], [[[1, 3], [2, 4], [3, 1], [6, 2], [13, 1]], 1/14976], [[[1, 3], [2, 4], [3, 1], [6, 2], [26, 1]], 11/22464], [[[1, 3], [2, 4], [3, 1], [8, 1], [13, 1]], 1/59904], [[[1, 3], [2, 4], [3, 1], [8, 1], [14, 2]], 1/37632], [[[1, 3], [2, 4], [3, 1], [8, 1], [26, 1]], 1/4992], [[[1, 3], [2, 4], [3, 1], [10, 1], [13, 1]], 7/37440], [[[1, 3], [2, 4], [3, 1], [11, 1], [14, 1]], 1/3696], [[[1, 3], [2, 4], [3, 2], [4, 1], [13, 1]], 1/89856], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 1/2654208], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/1769472], [[[1, 3], [2, 4], [3, 2], [6, 1], [13, 1]], 1/7488], [[[1, 3], [2, 4], [3, 2], [6, 1], [26, 1]], 1/14976], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 2]], 1/55296], [[[1, 3], [2, 4], [3, 2], [10, 1], [22, 1]], 1/21120], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 1/8000], [[[1, 3], [2, 4], [4, 1], [5, 1], [14, 2]], 1/31360], [[[1, 3], [2, 4], [4, 1], [5, 1], [26, 1]], 1/4160], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 1/8000], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 1/73728], [[[1, 3], [2, 4], [4, 1], [6, 2], [26, 1]], 7/89856], [[[1, 3], [2, 4], [4, 1], [7, 1], [22, 1]], 1/2464], [[[1, 3], [2, 4], [4, 1], [7, 2], [8, 1]], 1/100352], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/384000], [[[1, 3], [2, 4], [4, 1], [8, 1], [13, 1]], 1/13312], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 5/25088], [[[1, 3], [2, 4], [4, 1], [8, 1], [26, 1]], 29/19968], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/102400], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 7/12288], [[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 1/20480], [[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 1/31360], [[[1, 3], [2, 4], [4, 1], [10, 1], [26, 1]], 1/4160], [[[1, 3], [2, 4], [4, 1], [11, 1], [14, 1]], 1/2464], [[[1, 3], [2, 4], [4, 1], [12, 1], [14, 2]], 1/18816], [[[1, 3], [2, 4], [4, 1], [12, 1], [26, 1]], 1/2496], [[[1, 3], [2, 4], [4, 2], [5, 1], [11, 1]], 13/1351680], [[[1, 3], [2, 4], [4, 2], [5, 1], [22, 1]], 1/7040], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 2]], 1/150528], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 1/8192], [[[1, 3], [2, 4], [4, 2], [6, 1], [13, 1]], 1/19968], [[[1, 3], [2, 4], [4, 2], [6, 1], [26, 1]], 37/159744], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 1/28672], [[[1, 3], [2, 4], [4, 2], [8, 1], [11, 1]], 1/22528], [[[1, 3], [2, 4], [4, 2], [8, 1], [22, 1]], 19/22528], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 55/57344], [[[1, 3], [2, 4], [4, 2], [10, 1], [22, 1]], 69/225280], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/22400], [[[1, 3], [2, 4], [4, 2], [12, 1], [22, 1]], 1/2816], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 7/153600], [[[1, 3], [2, 4], [4, 3], [6, 1], [11, 1]], 1/33792], [[[1, 3], [2, 4], [4, 3], [6, 1], [22, 1]], 7/202752], [[[1, 3], [2, 4], [4, 3], [7, 1], [14, 1]], 1/4096], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 37/32768], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1/6144], [[[1, 3], [2, 4], [4, 3], [10, 2], [12, 1]], 1/38400], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 1/49152], [[[1, 3], [2, 4], [4, 4], [6, 2], [18, 1]], 19/884736], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 1/24576], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 19/1146880], [[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 1/21504], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1/327680], [[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 1/2064384], [[[1, 3], [2, 4], [4, 5], [6, 1], [18, 1]], 1/884736], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 1/3538944], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 1/983040], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 1/1179648], [[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 1/5898240], [[[1, 3], [2, 4], [5, 1], [6, 1], [26, 1]], 1/4160], [[[1, 3], [2, 4], [5, 1], [6, 2], [11, 1]], 1/21120], [[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/2800], [[[1, 3], [2, 4], [5, 1], [8, 1], [11, 1]], 1/84480], [[[1, 3], [2, 4], [5, 1], [10, 1], [11, 1]], 7/52800], [[[1, 3], [2, 4], [5, 1], [10, 1], [22, 1]], 3/17600], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 1/6000], [[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/2800], [[[1, 3], [2, 4], [6, 1], [7, 1], [22, 1]], 1/1848], [[[1, 3], [2, 4], [6, 1], [7, 2], [10, 1]], 1/23520], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/37632], [[[1, 3], [2, 4], [6, 1], [8, 1], [26, 1]], 19/59904], [[[1, 3], [2, 4], [6, 1], [10, 1], [13, 1]], 1/3120], [[[1, 3], [2, 4], [6, 1], [10, 1], [26, 1]], 1/12480], [[[1, 3], [2, 4], [6, 1], [10, 2], [30, 1]], 1/4800], [[[1, 3], [2, 4], [6, 2], [7, 1], [10, 2]], 1/50400], [[[1, 3], [2, 4], [6, 2], [8, 1], [22, 1]], 1/12672], [[[1, 3], [2, 4], [6, 2], [8, 2], [18, 1]], 1/55296], [[[1, 3], [2, 4], [6, 2], [10, 1], [22, 1]], 1/63360], [[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 1/63504], [[[1, 3], [2, 4], [6, 3], [7, 1], [18, 1]], 1/9072], [[[1, 3], [2, 4], [6, 3], [10, 1], [30, 1]], 1/17280], [[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 1/72576], [[[1, 3], [2, 4], [8, 1], [10, 1], [22, 1]], 7/84480], [[[1, 3], [2, 4], [8, 2], [10, 1], [14, 1]], 1/71680], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 7/576000], [[[1, 3], [2, 6], [3, 1], [4, 1], [13, 1]], 11/2396160], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [26, 1]], 7/29952], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 11/22394880], [[[1, 3], [2, 6], [3, 1], [4, 2], [11, 1]], 1/1622016], [[[1, 3], [2, 6], [3, 1], [4, 2], [22, 1]], 9/112640], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 11/1990656], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 1/147456], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/307200], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 59/10616832], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 1/1327104], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 1/4718592], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 1/3499200], [[[1, 3], [2, 6], [3, 1], [5, 1], [22, 1]], 1/14400], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/345600], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 49/864000], [[[1, 3], [2, 6], [3, 1], [6, 1], [13, 1]], 7/599040], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 23/56448], [[[1, 3], [2, 6], [3, 1], [6, 1], [26, 1]], 365/359424], [[[1, 3], [2, 6], [3, 1], [6, 2], [11, 1]], 1/76032], [[[1, 3], [2, 6], [3, 1], [6, 2], [22, 1]], 1/1728], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 1/73728], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 79/1036800], [[[1, 3], [2, 6], [3, 1], [6, 4], [7, 1]], 1/54432], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 7/186624], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 31/186624], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 1/186624], [[[1, 3], [2, 6], [3, 1], [8, 1], [22, 1]], 5/50688], [[[1, 3], [2, 6], [3, 1], [10, 1], [11, 1]], 1/63360], [[[1, 3], [2, 6], [3, 1], [10, 1], [22, 1]], 13/506880], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/279936], [[[1, 3], [2, 6], [3, 2], [4, 1], [22, 1]], 1/50688], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 23/1492992], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 13/663552], [[[1, 3], [2, 6], [3, 2], [4, 3], [9, 1]], 1/2654208], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 7/21233664], [[[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, 1], [22, 1]], 1/19008], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 7/442368], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 23/345600], [[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/145152], [[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/62208], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 103/435456], [[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 23/62208], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 11/373248], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1/25920], [[[1, 3], [2, 6], [3, 2], [7, 1], [14, 1]], 1/32256], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/62208], [[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/345600], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 1/145152], [[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 1/62208], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 3], [2, 6], [4, 1], [5, 1], [11, 1]], 1/307200], [[[1, 3], [2, 6], [4, 1], [5, 1], [22, 1]], 1/5280], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 5/147456], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 79/1728000], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 19/112896], [[[1, 3], [2, 6], [4, 1], [6, 1], [26, 1]], 395/718848], [[[1, 3], [2, 6], [4, 1], [6, 2], [11, 1]], 1/50688], [[[1, 3], [2, 6], [4, 1], [6, 2], [22, 1]], 37/152064], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 13/331776], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 1/138240], [[[1, 3], [2, 6], [4, 1], [6, 4], [7, 1]], 1/435456], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 1/373248], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 1/23328], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 11/14929920], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 2]], 1/22400], [[[1, 3], [2, 6], [4, 1], [8, 1], [22, 1]], 91/112640], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 19/172032], [[[1, 3], [2, 6], [4, 1], [10, 1], [11, 1]], 1/42240], [[[1, 3], [2, 6], [4, 1], [10, 1], [22, 1]], 41/92160], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 1/5600], [[[1, 3], [2, 6], [4, 1], [12, 1], [22, 1]], 5/25344], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 1/1244160], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 297/1024000], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 97/1228800], [[[1, 3], [2, 6], [4, 2], [6, 1], [22, 1]], 67/135168], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 53/147456], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 11/245760], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 37/4644864], [[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 97/663552], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 19/3981312], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/1244160], [[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 1/497664], [[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 83/229376], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 89/307200], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 151/491520], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 23/30720], [[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 1/14400], [[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 1/3440640], [[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 1/35840], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 145/294912], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 11/460800], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 13/774144], [[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 59/442368], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 1/221184], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 7/4976640], [[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 1/124416], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 1/1376256], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 107/229376], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 67/573440], [[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 43/1474560], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 103/3096576], [[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 113/2654208], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 13/442368], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 3/327680], [[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 1/55296], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 7/184320], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 7/73728], [[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 245/7077888], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 31/5898240], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1/110592], [[[1, 3], [2, 6], [5, 1], [6, 1], [11, 1]], 7/844800], [[[1, 3], [2, 6], [5, 1], [6, 1], [22, 1]], 1/5280], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 73/288000], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 1/120960], [[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 1/17280], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1/69120], [[[1, 3], [2, 6], [5, 1], [7, 1], [14, 1]], 1/8960], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 7/76800], [[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 1/30720], [[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 3], [2, 6], [6, 1], [7, 1], [10, 2]], 1/12600], [[[1, 3], [2, 6], [6, 1], [8, 1], [22, 1]], 1/4224], [[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 1/64512], [[[1, 3], [2, 6], [6, 1], [8, 2], [18, 1]], 1/55296], [[[1, 3], [2, 6], [6, 1], [10, 1], [22, 1]], 17/50688], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 1/16800], [[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 1/7200], [[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 137/338688], [[[1, 3], [2, 6], [6, 2], [7, 1], [18, 1]], 1/5184], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 31/1382400], [[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 1/184320], [[[1, 3], [2, 6], [6, 2], [10, 1], [30, 1]], 13/69120], [[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 37/290304], [[[1, 3], [2, 6], [6, 3], [7, 1], [10, 1]], 1/45360], [[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 43/1741824], [[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 25/248832], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/90720], [[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1/10368], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 3/14336], [[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 1/960], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 211/11197440], [[[1, 3], [2, 8], [3, 1], [4, 1], [22, 1]], 227/6082560], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 37/1119744], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 1/147456], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 1/108000], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 2177/95551488], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 1/430080], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 233/26542080], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1/13271040], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 5/1119744], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 203/34560000], [[[1, 3], [2, 8], [3, 1], [5, 1], [15, 1]], 19/103219200], [[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 1/13824000], [[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/864000], [[[1, 3], [2, 8], [3, 1], [6, 1], [11, 1]], 1/3041280], [[[1, 3], [2, 8], [3, 1], [6, 1], [22, 1]], 367/1520640], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 1/184320], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 673/2764800], [[[1, 3], [2, 8], [3, 1], [6, 3], [7, 1]], 1/145152], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 2311/10450944], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 137/497664], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 59/2985984], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 17/186624], [[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 19/433520640], [[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 1/258048], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 1/115200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 545/8957952], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/460800], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 275/15925248], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 17/10616832], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 1/311040], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 17/2764800], [[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 1/5806080], [[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 1/2488320], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 253/1161216], [[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 7/497664], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 5/248832], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 191/933120], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 1/107520], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/248832], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/290304], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 1/331776], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 1/207360], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 1/622080], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1829/9216000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1/72000], [[[1, 3], [2, 8], [4, 1], [6, 1], [11, 1]], 1/2027520], [[[1, 3], [2, 8], [4, 1], [6, 1], [22, 1]], 3911/12165120], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 47/1105920], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 809/5529600], [[[1, 3], [2, 8], [4, 1], [6, 3], [7, 1]], 1/217728], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 1891/20901888], [[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 223/995328], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 373/11943936], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 11/466560], [[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 1/497664], [[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 85/802816], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 949/4608000], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 11/1966080], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 59/1843200], [[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 1/57600], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 1/155520], [[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 11/537600], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 13/73728], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 149/921600], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 73/387072], [[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 257/983040], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 247/1990656], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 643/9953280], [[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 5/373248], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 167/491520], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 7643/34406400], [[[1, 3], [2, 8], [4, 2], [12, 1], [14, 1]], 79/1935360], [[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 1/184320], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 1/122880], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 1699/88473600], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 1489/12386304], [[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 491/8847360], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 361/2359296], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 859/13271040], [[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 7/331776], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 69/655360], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 47/2211840], [[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 11/460800], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 983/35389440], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 313/17694720], [[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 11/1105920], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 349/1152000], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 1/40320], [[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 1/23040], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 317/4147200], [[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 1/403200], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 7/38400], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 41/2304000], [[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 661/5419008], [[[1, 3], [2, 8], [6, 1], [7, 1], [18, 1]], 11/1270080], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 1/34560], [[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 1/245760], [[[1, 3], [2, 8], [6, 1], [10, 1], [30, 1]], 181/11059200], [[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 4021/46448640], [[[1, 3], [2, 8], [6, 2], [7, 1], [10, 1]], 11/604800], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 13/290304], [[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 83/1244160], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 5/32256], [[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 1/4608], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 11/622080], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 13/322560], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 15881/358318080], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 29/61931520], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 43/18432000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 623137/20065812480], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 4321/1950842880], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 79/19906560], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 47/82575360], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1/2150400], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 1429/5945425920], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 1121/783820800], [[[1, 3], [2, 10], [3, 1], [5, 1], [9, 1]], 1/1857945600], [[[1, 3], [2, 10], [3, 1], [5, 1], [14, 1]], 37/304819200], [[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/6193152000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 1/8257536], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 9793/221184000], [[[1, 3], [2, 10], [3, 1], [6, 2], [7, 1]], 1/5080320], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 4255/55738368], [[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 2353/92897280], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 743/139345920], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 6409/74649600], [[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 23/27095040], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 19/7741440], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 50279/2508226560], [[[1, 3], [2, 10], [3, 2], [4, 1], [9, 1]], 1/2229534720], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 1/3870720], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 1487/891813888], [[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 1/10886400], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 449/3715891200], [[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/2601123840], [[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/1114767360], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 17/11612160], [[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 1/2177280], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 457/278691840], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 91/3110400], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 1/3981312], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/4147200], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 11/6220800], [[[1, 3], [2, 10], [4, 1], [5, 1], [7, 1]], 1/2890137600], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 11/5644800], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 29/6193152], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 2353/27648000], [[[1, 3], [2, 10], [4, 1], [6, 2], [7, 1]], 1/2903040], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 13103/139345920], [[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 5443/79626240], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 26833/836075520], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 3683/59719680], [[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 1/622080], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 13/231211008], [[[1, 3], [2, 10], [4, 1], [7, 1], [10, 1]], 1/5644800], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 63173/2601123840], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 169991/2167603200], [[[1, 3], [2, 10], [4, 1], [12, 1], [14, 1]], 23/13547520], [[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 1/518400], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 29/51609600], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 6413/1032192000], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 79/1146880], [[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 727/37158912], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 1699/26542080], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 797/10616832], [[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 19/4976640], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 2141/51609600], [[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 29/30965760], [[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 13/4838400], [[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 1/1843200], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 509/23592960], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 10931/530841600], [[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 11/5806080], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 1/268800], [[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 1/604800], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 7447/221184000], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 11/5529600], [[[1, 3], [2, 10], [6, 1], [7, 1], [10, 1]], 29/33868800], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 1237/162570240], [[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 37/9953280], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 857/11059200], [[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 6253/232243200], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 7/921600], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 115109/16052649984], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 1/6967296], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 11437/6270566400], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 19/371589120], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 331/2737152000], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 23/206438400], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 79/1959552000], [[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 953/54743040000], [[[1, 3], [2, 12], [3, 1], [6, 1], [7, 1]], 1/1219276800], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 18899/9364045824], [[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 17/209018880], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 1111/4180377600], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 93343/11147673600], [[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 19/696729600], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 226099/401316249600], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 1/371589120], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 1/116121600], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 421/16721510400], [[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 1/2612736000], [[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 23/2090188800], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 13/174182400], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 29/232243200], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 1/103219200], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 60479/74317824000], [[[1, 3], [2, 12], [4, 1], [6, 1], [7, 1]], 1/243855360], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 795751/93640458240], [[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 129449/66886041600], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 1106593/267544166400], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 82151/5573836800], [[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 1/9289728], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 1638403/817496064000], [[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 19/348364800], [[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 37/696729600], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 43387/12740198400], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 617321/89181388800], [[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 29/278691840], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 3739/2064384000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 263/557383680], [[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 1/229920768000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 210479/1103619686400], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 109/210213273600], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 1891/459841536000], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 1985369/91821157908480], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 229/1280987136000], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 1/459841536], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 69893/668860416000], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 31/25082265600], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 1/684288000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 7563187/76517631590400], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 1179389/2102132736000], [[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 19/15328051200], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 120889/125536739328000], [[[1, 3], [3, 1], [4, 2], [12, 1], [13, 1]], 1/3744], [[[1, 3], [3, 1], [4, 4], [5, 1], [15, 1]], 1/184320], [[[1, 3], [3, 1], [4, 4], [7, 1], [9, 1]], 1/774144], [[[1, 3], [3, 1], [5, 1], [8, 2], [15, 1]], 1/3840], [[[1, 3], [3, 1], [7, 1], [8, 2], [9, 1]], 1/16128], [[[1, 3], [4, 2], [5, 1], [11, 1], [12, 1]], 1/5280], [[[1, 4], [2, 1], [3, 1], [4, 3], [13, 1]], 7/119808], [[[1, 4], [2, 1], [3, 1], [4, 4], [11, 1]], 1/405504], [[[1, 4], [2, 1], [3, 1], [5, 2], [11, 1]], 1/6600], [[[1, 4], [2, 1], [3, 1], [7, 1], [13, 1]], 1/2184], [[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/3528], [[[1, 4], [2, 1], [3, 1], [8, 2], [11, 1]], 1/8448], [[[1, 4], [2, 1], [3, 2], [4, 2], [13, 1]], 1/29952], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 2]], 1/11059200], [[[1, 4], [2, 1], [3, 2], [4, 5], [9, 1]], 1/1327104], [[[1, 4], [2, 1], [3, 2], [5, 1], [13, 1]], 1/4680], [[[1, 4], [2, 1], [3, 2], [5, 2], [8, 2]], 1/230400], [[[1, 4], [2, 1], [3, 2], [5, 2], [15, 1]], 1/1800], [[[1, 4], [2, 1], [3, 2], [8, 1], [13, 1]], 1/7488], [[[1, 4], [2, 1], [3, 3], [4, 4], [7, 1]], 1/13934592], [[[1, 4], [2, 1], [3, 3], [4, 4], [9, 1]], 1/1990656], [[[1, 4], [2, 1], [3, 3], [7, 1], [8, 2]], 1/290304], [[[1, 4], [2, 1], [3, 3], [8, 2], [9, 1]], 1/41472], [[[1, 4], [2, 1], [4, 1], [5, 2], [11, 1]], 1/8800], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 3]], 1/14336], [[[1, 4], [2, 1], [4, 1], [8, 2], [11, 1]], 1/11264], [[[1, 4], [2, 1], [4, 2], [5, 3], [12, 1]], 1/72000], [[[1, 4], [2, 1], [4, 2], [7, 2], [12, 1]], 1/9408], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 1/4096], [[[1, 4], [2, 1], [4, 2], [12, 1], [13, 1]], 1/1872], [[[1, 4], [2, 1], [4, 3], [5, 1], [11, 1]], 7/168960], [[[1, 4], [2, 1], [4, 3], [11, 1], [12, 1]], 1/4224], [[[1, 4], [2, 1], [4, 4], [5, 2], [10, 1]], 1/614400], [[[1, 4], [2, 1], [4, 4], [7, 1], [14, 1]], 1/344064], [[[1, 4], [2, 1], [4, 5], [5, 1], [7, 1]], 1/1720320], [[[1, 4], [2, 1], [4, 5], [7, 1], [8, 1]], 1/688128], [[[1, 4], [2, 1], [5, 1], [7, 1], [11, 1]], 1/3080], [[[1, 4], [2, 1], [5, 2], [8, 2], [10, 1]], 1/12800], [[[1, 4], [2, 1], [7, 1], [8, 2], [14, 1]], 1/7168], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 1/8192], [[[1, 4], [2, 3], [3, 1], [4, 2], [13, 1]], 37/159744], [[[1, 4], [2, 3], [3, 1], [4, 2], [14, 2]], 1/150528], [[[1, 4], [2, 3], [3, 1], [4, 2], [26, 1]], 1/19968], [[[1, 4], [2, 3], [3, 1], [4, 3], [11, 1]], 7/202752], [[[1, 4], [2, 3], [3, 1], [4, 3], [22, 1]], 1/33792], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 1/49152], [[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 1/2064384], [[[1, 4], [2, 3], [3, 1], [4, 5], [9, 1]], 1/884736], [[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 1/5898240], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 1/1179648], [[[1, 4], [2, 3], [3, 1], [5, 1], [13, 1]], 1/12480], [[[1, 4], [2, 3], [3, 1], [5, 1], [14, 2]], 1/23520], [[[1, 4], [2, 3], [3, 1], [5, 1], [26, 1]], 1/3120], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 1/6000], [[[1, 4], [2, 3], [3, 1], [5, 2], [15, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [6, 2], [13, 1]], 1/14976], [[[1, 4], [2, 3], [3, 1], [6, 2], [26, 1]], 1/7488], [[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/37632], [[[1, 4], [2, 3], [3, 1], [8, 1], [13, 1]], 19/59904], [[[1, 4], [2, 3], [3, 1], [10, 1], [13, 1]], 1/4160], [[[1, 4], [2, 3], [3, 1], [11, 1], [14, 1]], 1/1848], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 1/73728], [[[1, 4], [2, 3], [3, 2], [4, 1], [13, 1]], 7/89856], [[[1, 4], [2, 3], [3, 2], [4, 4], [9, 1]], 19/884736], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/1769472], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 1/3538944], [[[1, 4], [2, 3], [3, 2], [5, 1], [11, 1]], 1/63360], [[[1, 4], [2, 3], [3, 2], [5, 2], [14, 1]], 1/50400], [[[1, 4], [2, 3], [3, 2], [6, 1], [13, 1]], 11/22464], [[[1, 4], [2, 3], [3, 2], [6, 1], [26, 1]], 1/14976], [[[1, 4], [2, 3], [3, 2], [8, 1], [11, 1]], 1/12672], [[[1, 4], [2, 3], [3, 2], [8, 2], [9, 1]], 1/55296], [[[1, 4], [2, 3], [3, 2], [10, 1], [22, 1]], 1/21120], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 1/2654208], [[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 1/5308416], [[[1, 4], [2, 3], [3, 3], [5, 1], [15, 1]], 1/17280], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 2]], 1/55296], [[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 1/72576], [[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 1/63504], [[[1, 4], [2, 3], [3, 3], [9, 1], [14, 1]], 1/9072], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 1/31360], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 1/20480], [[[1, 4], [2, 3], [4, 1], [5, 1], [13, 1]], 1/4160], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/102400], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 1/8000], [[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/384000], [[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 1/8000], [[[1, 4], [2, 3], [4, 1], [6, 2], [26, 1]], 1/89856], [[[1, 4], [2, 3], [4, 1], [7, 1], [22, 1]], 1/2464], [[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 5/25088], [[[1, 4], [2, 3], [4, 1], [7, 2], [10, 1]], 1/31360], [[[1, 4], [2, 3], [4, 1], [7, 2], [12, 1]], 1/18816], [[[1, 4], [2, 3], [4, 1], [8, 1], [13, 1]], 29/19968], [[[1, 4], [2, 3], [4, 1], [8, 1], [14, 2]], 1/100352], [[[1, 4], [2, 3], [4, 1], [8, 1], [26, 1]], 1/13312], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 7/12288], [[[1, 4], [2, 3], [4, 1], [10, 1], [13, 1]], 1/4160], [[[1, 4], [2, 3], [4, 1], [11, 1], [14, 1]], 1/2464], [[[1, 4], [2, 3], [4, 1], [12, 1], [13, 1]], 1/2496], [[[1, 4], [2, 3], [4, 2], [5, 1], [11, 1]], 69/225280], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/22400], [[[1, 4], [2, 3], [4, 2], [5, 3], [6, 1]], 1/576000], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 1/75264], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 1/12288], [[[1, 4], [2, 3], [4, 2], [6, 1], [13, 1]], 1/14976], [[[1, 4], [2, 3], [4, 2], [6, 1], [26, 1]], 1/73728], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 55/57344], [[[1, 4], [2, 3], [4, 2], [8, 1], [11, 1]], 19/22528], [[[1, 4], [2, 3], [4, 2], [8, 1], [22, 1]], 1/22528], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 1/28672], [[[1, 4], [2, 3], [4, 2], [10, 1], [11, 1]], 1/7040], [[[1, 4], [2, 3], [4, 2], [10, 1], [22, 1]], 13/1351680], [[[1, 4], [2, 3], [4, 2], [11, 1], [12, 1]], 1/2816], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 7/153600], [[[1, 4], [2, 3], [4, 3], [5, 2], [12, 1]], 1/38400], [[[1, 4], [2, 3], [4, 3], [6, 1], [11, 1]], 1/33792], [[[1, 4], [2, 3], [4, 3], [7, 1], [14, 1]], 1/4096], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 37/32768], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1/6144], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 19/1146880], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 1/24576], [[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 1/21504], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 1/983040], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1/327680], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1/12288], [[[1, 4], [2, 3], [5, 1], [6, 1], [26, 1]], 7/37440], [[[1, 4], [2, 3], [5, 1], [6, 2], [11, 1]], 1/21120], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 2]], 1/71680], [[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/2800], [[[1, 4], [2, 3], [5, 1], [8, 1], [11, 1]], 7/84480], [[[1, 4], [2, 3], [5, 1], [10, 1], [11, 1]], 3/17600], [[[1, 4], [2, 3], [5, 1], [10, 1], [22, 1]], 7/52800], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 1/6000], [[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/2800], [[[1, 4], [2, 3], [5, 3], [6, 1], [10, 1]], 1/90000], [[[1, 4], [2, 3], [6, 1], [7, 1], [22, 1]], 1/3696], [[[1, 4], [2, 3], [6, 1], [7, 2], [8, 1]], 1/37632], [[[1, 4], [2, 3], [6, 1], [7, 2], [10, 1]], 1/11760], [[[1, 4], [2, 3], [6, 1], [8, 1], [13, 1]], 1/4992], [[[1, 4], [2, 3], [6, 1], [8, 1], [26, 1]], 1/59904], [[[1, 4], [2, 3], [6, 1], [10, 1], [13, 1]], 1/2340], [[[1, 4], [2, 3], [8, 1], [10, 1], [22, 1]], 1/84480], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/451584], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/115200], [[[1, 4], [2, 5], [3, 1], [4, 1], [13, 1]], 191/2396160], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/12544], [[[1, 4], [2, 5], [3, 1], [4, 1], [26, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [11, 1]], 5/270336], [[[1, 4], [2, 5], [3, 1], [4, 2], [22, 1]], 47/202752], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/5971968], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/9216], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1/153600], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 19/3538944], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 1/172032], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 1/1769472], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 1/1572864], [[[1, 4], [2, 5], [3, 1], [5, 1], [11, 1]], 1/506880], [[[1, 4], [2, 5], [3, 1], [5, 1], [22, 1]], 1/6336], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/115200], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/37632], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/57600], [[[1, 4], [2, 5], [3, 1], [6, 1], [13, 1]], 5/19968], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/8064], [[[1, 4], [2, 5], [3, 1], [6, 1], [26, 1]], 157/179712], [[[1, 4], [2, 5], [3, 1], [6, 2], [11, 1]], 1/19008], [[[1, 4], [2, 5], [3, 1], [6, 2], [22, 1]], 7/19008], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 1/221184], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/115200], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 1/54432], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 5/435456], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/20736], [[[1, 4], [2, 5], [3, 1], [8, 1], [11, 1]], 1/101376], [[[1, 4], [2, 5], [3, 1], [8, 1], [22, 1]], 1/16896], [[[1, 4], [2, 5], [3, 1], [10, 1], [11, 1]], 1/7920], [[[1, 4], [2, 5], [3, 1], [10, 1], [22, 1]], 13/253440], [[[1, 4], [2, 5], [3, 2], [4, 1], [11, 1]], 1/152064], [[[1, 4], [2, 5], [3, 2], [4, 1], [22, 1]], 1/16896], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 1/22118400], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 7/746496], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 1/49152], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 5/221184], [[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 13/2654208], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 29/1769472], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 1/116640], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/10800], [[[1, 4], [2, 5], [3, 2], [5, 1], [15, 1]], 1/138240], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 19/1036800], [[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 1/864000], [[[1, 4], [2, 5], [3, 2], [6, 1], [11, 1]], 1/12672], [[[1, 4], [2, 5], [3, 2], [6, 1], [22, 1]], 1/12672], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 1/36864], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 23/345600], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 5/48384], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/20736], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 67/435456], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 23/62208], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/41472], [[[1, 4], [2, 5], [3, 2], [7, 1], [9, 1]], 1/580608], [[[1, 4], [2, 5], [3, 2], [7, 1], [14, 1]], 5/32256], [[[1, 4], [2, 5], [3, 2], [9, 1], [14, 1]], 1/12096], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 1/62208], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1/27648], [[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 1/27869184], [[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 17/3981312], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 1/331776], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/25920], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 1/115200], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 55/1306368], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 19/186624], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 5/48384], [[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 1/20736], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/25920], [[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/1088640], [[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 1/155520], [[[1, 4], [2, 5], [4, 1], [5, 1], [11, 1]], 151/3379200], [[[1, 4], [2, 5], [4, 1], [5, 1], [22, 1]], 1/3520], [[[1, 4], [2, 5], [4, 1], [5, 2], [14, 1]], 1/22400], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 2]], 5/150528], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 1/49152], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 1/1728000], [[[1, 4], [2, 5], [4, 1], [6, 1], [13, 1]], 5/19968], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/56448], [[[1, 4], [2, 5], [4, 1], [6, 1], [26, 1]], 203/718848], [[[1, 4], [2, 5], [4, 1], [6, 2], [11, 1]], 1/16896], [[[1, 4], [2, 5], [4, 1], [6, 2], [22, 1]], 1/13824], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/55296], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 1/2073600], [[[1, 4], [2, 5], [4, 1], [6, 4], [7, 1]], 1/435456], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 1/2612736], [[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 1/93312], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 1/86016], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 2]], 1/11200], [[[1, 4], [2, 5], [4, 1], [8, 1], [11, 1]], 5/135168], [[[1, 4], [2, 5], [4, 1], [8, 1], [22, 1]], 73/135168], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 17/172032], [[[1, 4], [2, 5], [4, 1], [10, 1], [11, 1]], 7/42240], [[[1, 4], [2, 5], [4, 1], [10, 1], [22, 1]], 259/1013760], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/22400], [[[1, 4], [2, 5], [4, 1], [12, 1], [22, 1]], 1/8448], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 3/40960], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 441/1024000], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 1/204800], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 301/1228800], [[[1, 4], [2, 5], [4, 2], [6, 1], [11, 1]], 1/6144], [[[1, 4], [2, 5], [4, 2], [6, 1], [22, 1]], 347/1622016], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 23/98304], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 13/22118400], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 13/27869184], [[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 125/3981312], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 1/3981312], [[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 5521/4816896], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 9/51200], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 115/147456], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 31/49152], [[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 7/230400], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 13/3440640], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/35840], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/307200], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 169/294912], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/76800], [[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 125/1327104], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 25/1376256], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 107/229376], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 173/1720320], [[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 1/10752], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 1/20480], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 509/5898240], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 1/172032], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 169/12386304], [[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 169/5308416], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 7/884736], [[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 1/110592], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 19/245760], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 1/4096], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1/30720], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 9/262144], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 29/5898240], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 1/110592], [[[1, 4], [2, 5], [5, 1], [6, 1], [11, 1]], 1/28160], [[[1, 4], [2, 5], [5, 1], [6, 1], [22, 1]], 1/3960], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 37/864000], [[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 1/155520], [[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 7/155520], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 1/207360], [[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 39/62720], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 7/76800], [[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 1/24576], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/9600], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 1/76800], [[[1, 4], [2, 5], [6, 1], [7, 1], [10, 2]], 1/16800], [[[1, 4], [2, 5], [6, 1], [8, 1], [22, 1]], 7/50688], [[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 1/258048], [[[1, 4], [2, 5], [6, 1], [8, 2], [18, 1]], 1/110592], [[[1, 4], [2, 5], [6, 1], [10, 1], [11, 1]], 1/10560], [[[1, 4], [2, 5], [6, 1], [10, 1], [22, 1]], 37/506880], [[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 1/28800], [[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 43/112896], [[[1, 4], [2, 5], [6, 2], [7, 1], [18, 1]], 1/4032], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 1/1382400], [[[1, 4], [2, 5], [6, 2], [10, 1], [30, 1]], 13/138240], [[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 13/580608], [[[1, 4], [2, 5], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/1741824], [[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 7/248832], [[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 1/103680], [[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 11/21504], [[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 29/23520], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 1/82944], [[[1, 4], [2, 7], [3, 1], [4, 1], [11, 1]], 1/368640], [[[1, 4], [2, 7], [3, 1], [4, 1], [22, 1]], 19/135168], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 215/5971968], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 29/589824], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 1/30720], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 2161/47775744], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 1/4128768], [[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 1/1769472], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 23/1290240], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 1/11796480], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 7/196608], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 13/2359296], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1/737280], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 11/1769472], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 7/622080], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 137/2304000], [[[1, 4], [2, 7], [3, 1], [5, 1], [15, 1]], 11/3686400], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 7/4608000], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 1/54000], [[[1, 4], [2, 7], [3, 1], [6, 1], [11, 1]], 1/138240], [[[1, 4], [2, 7], [3, 1], [6, 1], [22, 1]], 1307/3041280], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 1/110592], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 193/1036800], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 17/290304], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 425/2612736], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 1/2916], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 23/995328], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 11/233280], [[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 11/15482880], [[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 5/86016], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 1/115200], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 377/2985984], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 1/115200], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 1105/7962624], [[[1, 4], [2, 7], [3, 2], [4, 2], [9, 1]], 49/26542080], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1/258048], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 265/10616832], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 1/7077888], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 13/311040], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 1/41472000], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 1/61440], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 1/71680], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 31/2488320], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 25/55296], [[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 29/497664], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 5/82944], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 197/622080], [[[1, 4], [2, 7], [3, 2], [9, 1], [10, 1]], 1/207360], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 17/248832], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 7/1769472], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 1/10616832], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 1/207360], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 1/52254720], [[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 1/7464960], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 1/48384], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 7/331776], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 1/41472], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 1/622080], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 2447/4608000], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/460800], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 299/3072000], [[[1, 4], [2, 7], [4, 1], [6, 1], [11, 1]], 7/675840], [[[1, 4], [2, 7], [4, 1], [6, 1], [22, 1]], 289/760320], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1/12288], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 337/5529600], [[[1, 4], [2, 7], [4, 1], [6, 3], [7, 1]], 1/54432], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 811/20901888], [[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 175/995328], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 461/23887872], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 1/186624], [[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 1/1492992], [[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 3347/7225344], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 53/245760], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 181/5898240], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 31/368640], [[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 1/57600], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 1/207360], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 7/4915200], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 13/215040], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 449/983040], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 647/4423680], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 5/258048], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 2551/18579456], [[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 5219/15925248], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 107/995328], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 1267/39813120], [[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 7/746496], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 13/491520], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 1/43008], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 887/1290240], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 1969/6881280], [[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 67/774144], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/92160], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 113/1966080], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 5063/29491200], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 79/442368], [[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 59/331776], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 449/1769472], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 301/4423680], [[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 5/165888], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 103/245760], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 17/147456], [[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 1/15360], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 1/184320], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 769/3538944], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 3209/70778880], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 7/221184], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1231/3456000], [[[1, 4], [2, 7], [5, 1], [6, 2], [7, 1]], 1/322560], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 17/362880], [[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 7/62208], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 923/12441600], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/23040], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 11/40320], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 29/256000], [[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 2957/9031680], [[[1, 4], [2, 7], [6, 1], [7, 1], [18, 1]], 1/20160], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 17/691200], [[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 1/294912], [[[1, 4], [2, 7], [6, 1], [10, 1], [30, 1]], 157/4423680], [[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 925/18579456], [[[1, 4], [2, 7], [6, 2], [7, 1], [10, 1]], 1/24192], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 23/580608], [[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 11/124416], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 1/20160], [[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 23/165888], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 13/1244160], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 6241/71663616], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 17/4423680], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 13/1105920], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 135043/955514880], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 3119/216760320], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 9631/159252480], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 221/27525120], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 31/6451200], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 389/84934656], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 151/12441600], [[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1/2167603200], [[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 29/928972800], [[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 23/16934400], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 19/2064384000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 1/1474560], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 13283/132710400], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 373/81285120], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 46919/278691840], [[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 73309/836075520], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 323/14929920], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 3553/24883200], [[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 13/3870720], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 107/7741440], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 16753/119439360], [[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 19/743178240], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 13/3870720], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 81029/2229534720], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1/884736], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 1/1105920], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 1/829440], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 43/10886400], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 2707/1238630400], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 19/867041280], [[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 169/1114767360], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 71/5806080], [[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 19/5806080], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 161/13271040], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 1051/8294400], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 53/9953280], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 13/4147200], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 1/155520], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 19/963379200], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 13/806400], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 1/18432000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 77/2949120], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 1871/13824000], [[[1, 4], [2, 9], [4, 1], [6, 2], [7, 1]], 1/181440], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 241/1741824], [[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 17705/111476736], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 3571/59719680], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 2509/37324800], [[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 1/373248], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 1913/1156055040], [[[1, 4], [2, 9], [4, 1], [7, 1], [10, 1]], 11/2822400], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 23633/289013760], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 51137/309657600], [[[1, 4], [2, 9], [4, 1], [12, 1], [14, 1]], 13/1935360], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 11/1105920], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 1/115200], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 6863/98304000], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 17/10321920], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 1801/9289728], [[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 49801/557383680], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 2131/10616832], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 39223/265420800], [[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 53/3981312], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 60031/309657600], [[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 17/2211840], [[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 79/5529600], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 11/1843200], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 12089/70778880], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 18347/176947200], [[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 23/1658880], [[[1, 4], [2, 9], [5, 1], [6, 1], [7, 1]], 1/12902400], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 277/14515200], [[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 73/6220800], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 58873/663552000], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 157/11059200], [[[1, 4], [2, 9], [6, 1], [7, 1], [10, 1]], 17/2419200], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 257/11612160], [[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 247/17418240], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 979/10321920], [[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 2153/44236800], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 133/8294400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 846677/20065812480], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/3468165120], [[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/1486356480], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 47/30481920], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 13/1981808640], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 14233/557383680], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 991/1189085184], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 361/278691840], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 7811/2675441664], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 53/58060800], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 25997/55738368000], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 61/1592524800], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 851/69672960], [[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 101/104509440], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 647/278691840], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 49991/1393459200], [[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 1/4838400], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 86111/8918138880], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 71/849346560], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 1/4838400], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 5273/8360755200], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 427/23887872000], [[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 1/6193152], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 13/11612160], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 449/8918138880], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 1/691200], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 71/235929600], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 648563/74317824000], [[[1, 4], [2, 11], [4, 1], [6, 1], [7, 1]], 37/243855360], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 419687/11705057280], [[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 9103/836075520], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 6037/318504960], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 258583/5573836800], [[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 1/1658880], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 2197/185794560], [[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 1/2419200], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 67/77414400], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 127451/4459069440], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 779/18579456], [[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 43/39813120], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 407/36864000], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 2279/928972800], [[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 67/229920768000], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 331081/133772083200], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 803/44590694400], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 59/851558400], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 6479999/11771943321600], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 151/19160064000], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 101/2786918400], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 1432861/1471492915200], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 557/16721510400], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 13/348364800], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 5457841/5885971660800], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 57867457/14714929152000], [[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 13/836075520], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 518591/22955289477120], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/150528], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 1/24576], [[[1, 5], [2, 2], [3, 1], [4, 2], [13, 1]], 15/53248], [[[1, 5], [2, 2], [3, 1], [4, 3], [11, 1]], 5/50688], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 1/3686400], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 1/49152], [[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 1/1032192], [[[1, 5], [2, 2], [3, 1], [4, 5], [9, 1]], 1/663552], [[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 1/5898240], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 1/1179648], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/23520], [[[1, 5], [2, 2], [3, 1], [5, 1], [13, 1]], 7/12480], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 2]], 1/76800], [[[1, 5], [2, 2], [3, 1], [5, 2], [15, 1]], 1/1600], [[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/144000], [[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 1/6000], [[[1, 5], [2, 2], [3, 1], [6, 2], [13, 1]], 1/44928], [[[1, 5], [2, 2], [3, 1], [7, 1], [11, 1]], 1/3696], [[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/18816], [[[1, 5], [2, 2], [3, 1], [8, 1], [13, 1]], 23/59904], [[[1, 5], [2, 2], [3, 1], [10, 1], [13, 1]], 1/12480], [[[1, 5], [2, 2], [3, 1], [11, 1], [14, 1]], 1/3696], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/144000], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 1/36864], [[[1, 5], [2, 2], [3, 2], [4, 1], [13, 1]], 7/29952], [[[1, 5], [2, 2], [3, 2], [4, 2], [11, 1]], 1/50688], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 7/2764800], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/3096576], [[[1, 5], [2, 2], [3, 2], [4, 4], [9, 1]], 59/2654208], [[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 1/4423680], [[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 1/1769472], [[[1, 5], [2, 2], [3, 2], [5, 1], [11, 1]], 1/5760], [[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 1/10800], [[[1, 5], [2, 2], [3, 2], [5, 2], [14, 1]], 1/50400], [[[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], [13, 1]], 11/22464], [[[1, 5], [2, 2], [3, 2], [6, 1], [26, 1]], 1/44928], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 2]], 1/64512], [[[1, 5], [2, 2], [3, 2], [8, 1], [11, 1]], 1/6336], [[[1, 5], [2, 2], [3, 2], [8, 2], [9, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [10, 1], [22, 1]], 1/63360], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 1/497664], [[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 13/497664], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 1/19906560], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 1/2654208], [[[1, 5], [2, 2], [3, 3], [4, 5], [6, 1]], 1/5308416], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 2]], 1/414720], [[[1, 5], [2, 2], [3, 3], [5, 1], [15, 1]], 1/5760], [[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/172800], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/21600], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 2]], 1/55296], [[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 1/24192], [[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 1/63504], [[[1, 5], [2, 2], [3, 3], [9, 1], [14, 1]], 1/9072], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 1/1990656], [[[1, 5], [2, 2], [3, 4], [4, 3], [12, 1]], 1/746496], [[[1, 5], [2, 2], [3, 4], [4, 4], [6, 1]], 1/11943936], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 2]], 1/248832], [[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 1/217728], [[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/31104], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 3/15680], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 1/15360], [[[1, 5], [2, 2], [4, 1], [5, 1], [13, 1]], 1/3120], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/51200], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 1/8000], [[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 19/384000], [[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 1/7500], [[[1, 5], [2, 2], [4, 1], [5, 3], [12, 1]], 1/72000], [[[1, 5], [2, 2], [4, 1], [7, 1], [11, 1]], 1/2464], [[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 5/7168], [[[1, 5], [2, 2], [4, 1], [7, 2], [10, 1]], 1/15680], [[[1, 5], [2, 2], [4, 1], [7, 2], [12, 1]], 1/9408], [[[1, 5], [2, 2], [4, 1], [8, 1], [13, 1]], 19/9984], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 1/12288], [[[1, 5], [2, 2], [4, 1], [10, 1], [13, 1]], 1/3120], [[[1, 5], [2, 2], [4, 1], [12, 1], [13, 1]], 1/1872], [[[1, 5], [2, 2], [4, 2], [5, 1], [11, 1]], 69/225280], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/22400], [[[1, 5], [2, 2], [4, 2], [5, 3], [6, 1]], 1/576000], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 1/150528], [[[1, 5], [2, 2], [4, 2], [6, 1], [13, 1]], 1/59904], [[[1, 5], [2, 2], [4, 2], [6, 1], [26, 1]], 1/958464], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 55/57344], [[[1, 5], [2, 2], [4, 2], [8, 1], [11, 1]], 19/22528], [[[1, 5], [2, 2], [4, 2], [10, 1], [11, 1]], 1/7040], [[[1, 5], [2, 2], [4, 2], [10, 1], [22, 1]], 1/1351680], [[[1, 5], [2, 2], [4, 2], [11, 1], [12, 1]], 1/2304], [[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 7/153600], [[[1, 5], [2, 2], [4, 3], [5, 2], [12, 1]], 1/19200], [[[1, 5], [2, 2], [4, 3], [7, 1], [14, 1]], 1/12288], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 13/196608], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 59/3440640], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 1/24576], [[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 1/21504], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 1/737280], [[[1, 5], [2, 2], [4, 5], [5, 1], [10, 1]], 1/983040], [[[1, 5], [2, 2], [5, 1], [6, 1], [26, 1]], 1/37440], [[[1, 5], [2, 2], [5, 1], [6, 2], [11, 1]], 1/63360], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 2]], 3/71680], [[[1, 5], [2, 2], [5, 1], [8, 1], [11, 1]], 7/84480], [[[1, 5], [2, 2], [5, 1], [10, 1], [11, 1]], 1/17600], [[[1, 5], [2, 2], [5, 1], [10, 1], [22, 1]], 1/52800], [[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/2800], [[[1, 5], [2, 2], [5, 3], [6, 1], [8, 1]], 1/144000], [[[1, 5], [2, 2], [5, 3], [6, 1], [10, 1]], 1/90000], [[[1, 5], [2, 2], [6, 1], [7, 2], [8, 1]], 1/18816], [[[1, 5], [2, 2], [6, 1], [7, 2], [10, 1]], 1/23520], [[[1, 5], [2, 2], [6, 1], [8, 1], [13, 1]], 1/3744], [[[1, 5], [2, 2], [6, 1], [10, 1], [13, 1]], 1/9360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 1/1728000], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/56448], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 1/49152], [[[1, 5], [2, 4], [3, 1], [4, 1], [13, 1]], 203/718848], [[[1, 5], [2, 4], [3, 1], [4, 1], [14, 2]], 5/150528], [[[1, 5], [2, 4], [3, 1], [4, 1], [26, 1]], 5/19968], [[[1, 5], [2, 4], [3, 1], [4, 2], [11, 1]], 347/1622016], [[[1, 5], [2, 4], [3, 1], [4, 2], [22, 1]], 1/6144], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/76800], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 169/294912], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/307200], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 169/12386304], [[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 169/5308416], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 1/172032], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 29/5898240], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 9/262144], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 1/110592], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 1/1572864], [[[1, 5], [2, 4], [3, 1], [5, 1], [11, 1]], 37/506880], [[[1, 5], [2, 4], [3, 1], [5, 1], [22, 1]], 1/10560], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 1/115200], [[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 1/28800], [[[1, 5], [2, 4], [3, 1], [5, 2], [14, 1]], 1/16800], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/57600], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/8064], [[[1, 5], [2, 4], [3, 1], [6, 1], [13, 1]], 157/179712], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/37632], [[[1, 5], [2, 4], [3, 1], [6, 1], [26, 1]], 5/19968], [[[1, 5], [2, 4], [3, 1], [6, 2], [11, 1]], 1/12672], [[[1, 5], [2, 4], [3, 1], [6, 2], [22, 1]], 1/12672], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 1/258048], [[[1, 5], [2, 4], [3, 1], [8, 1], [11, 1]], 7/50688], [[[1, 5], [2, 4], [3, 1], [8, 2], [9, 1]], 1/110592], [[[1, 5], [2, 4], [3, 1], [10, 1], [11, 1]], 1/3960], [[[1, 5], [2, 4], [3, 1], [10, 1], [22, 1]], 1/28160], [[[1, 5], [2, 4], [3, 2], [4, 1], [11, 1]], 1/13824], [[[1, 5], [2, 4], [3, 2], [4, 1], [22, 1]], 1/16896], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 13/22118400], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 23/98304], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 1/331776], [[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 125/1327104], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 29/1769472], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 7/884736], [[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 1/110592], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 1/1769472], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/9600], [[[1, 5], [2, 4], [3, 2], [5, 1], [15, 1]], 13/138240], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 23/345600], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 1/1382400], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 37/864000], [[[1, 5], [2, 4], [3, 2], [6, 1], [11, 1]], 7/19008], [[[1, 5], [2, 4], [3, 2], [6, 1], [22, 1]], 1/19008], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 1/36864], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 19/1036800], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 5/48384], [[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 1/20736], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 55/1306368], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 19/186624], [[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 13/580608], [[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 43/112896], [[[1, 5], [2, 4], [3, 2], [9, 1], [14, 1]], 1/4032], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 1/2073600], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/55296], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1/27648], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 13/27869184], [[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 125/3981312], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 5/221184], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 19/3538944], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/25920], [[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 1/103680], [[[1, 5], [2, 4], [3, 3], [5, 1], [14, 1]], 1/90720], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/115200], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 1/221184], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/115200], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 67/435456], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 23/62208], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 5/48384], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/20736], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/1741824], [[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 1/155520], [[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 7/248832], [[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 7/155520], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 1/62208], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 1/2612736], [[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 1/93312], [[[1, 5], [2, 4], [3, 4], [4, 1], [14, 1]], 1/435456], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 7/746496], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 1/3981312], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/5971968], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 1/207360], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 5/435456], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/20736], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 1/54432], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/41472], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 1/116640], [[[1, 5], [2, 4], [4, 1], [5, 1], [11, 1]], 259/1013760], [[[1, 5], [2, 4], [4, 1], [5, 1], [22, 1]], 7/42240], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/22400], [[[1, 5], [2, 4], [4, 1], [5, 2], [14, 1]], 1/11200], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/115200], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/12544], [[[1, 5], [2, 4], [4, 1], [6, 1], [13, 1]], 1/2304], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/451584], [[[1, 5], [2, 4], [4, 1], [6, 1], [26, 1]], 191/2396160], [[[1, 5], [2, 4], [4, 1], [6, 2], [11, 1]], 1/16896], [[[1, 5], [2, 4], [4, 1], [6, 2], [22, 1]], 1/152064], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 17/172032], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 2]], 1/22400], [[[1, 5], [2, 4], [4, 1], [8, 1], [11, 1]], 73/135168], [[[1, 5], [2, 4], [4, 1], [8, 1], [22, 1]], 5/135168], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 1/86016], [[[1, 5], [2, 4], [4, 1], [10, 1], [11, 1]], 1/3520], [[[1, 5], [2, 4], [4, 1], [10, 1], [22, 1]], 151/3379200], [[[1, 5], [2, 4], [4, 1], [11, 1], [12, 1]], 1/8448], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 31/49152], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 301/1228800], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 9/51200], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 441/1024000], [[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 7/230400], [[[1, 5], [2, 4], [4, 2], [6, 1], [11, 1]], 47/202752], [[[1, 5], [2, 4], [4, 2], [6, 1], [22, 1]], 5/270336], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 1/49152], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 1/22118400], [[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 1/27869184], [[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 17/3981312], [[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 5521/4816896], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 1/204800], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 115/147456], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 3/40960], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 173/1720320], [[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1/153600], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/9216], [[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 13/2654208], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 107/229376], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/35840], [[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 1/10752], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 25/1376256], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 13/3440640], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 19/245760], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 509/5898240], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1/30720], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 1/172032], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 1/20480], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 1/4096], [[[1, 5], [2, 4], [5, 1], [6, 1], [11, 1]], 13/253440], [[[1, 5], [2, 4], [5, 1], [6, 1], [22, 1]], 1/7920], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 1/864000], [[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/1088640], [[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 1/155520], [[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 29/23520], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 1/76800], [[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 1/24576], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/10800], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 7/76800], [[[1, 5], [2, 4], [6, 1], [8, 1], [11, 1]], 1/16896], [[[1, 5], [2, 4], [6, 1], [8, 1], [22, 1]], 1/101376], [[[1, 5], [2, 4], [6, 1], [10, 1], [11, 1]], 1/6336], [[[1, 5], [2, 4], [6, 1], [10, 1], [22, 1]], 1/506880], [[[1, 5], [2, 4], [6, 2], [7, 1], [14, 1]], 5/32256], [[[1, 5], [2, 4], [6, 2], [7, 1], [18, 1]], 1/12096], [[[1, 5], [2, 4], [6, 2], [10, 1], [30, 1]], 1/138240], [[[1, 5], [2, 4], [6, 2], [14, 1], [18, 1]], 1/580608], [[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 11/21504], [[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 39/62720], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 7/2239488], [[[1, 5], [2, 6], [3, 1], [4, 1], [11, 1]], 1/21120], [[[1, 5], [2, 6], [3, 1], [4, 1], [22, 1]], 1/4608], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 1/819200], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 203/23887872], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 71/589824], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 19/460800], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 439/15925248], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 11/2064384], [[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 5/663552], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 17/258048], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 13/11796480], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 37/1179648], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 35/786432], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1/184320], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 305/14155776], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/124416], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 683/3456000], [[[1, 5], [2, 6], [3, 1], [5, 1], [15, 1]], 181/11059200], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 13/1382400], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 173/2304000], [[[1, 5], [2, 6], [3, 1], [6, 1], [11, 1]], 97/1013760], [[[1, 5], [2, 6], [3, 1], [6, 1], [22, 1]], 25/76032], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 1/221184], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 23/552960], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 1/10368], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 17/387072], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 29/165888], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 5/746496], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/124416], [[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 181/46448640], [[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 403/1806336], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 1/460800], [[[1, 5], [2, 6], [3, 1], [9, 1], [14, 1]], 1/24192], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 11/55296000], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 29/331776], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/442368], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/76800], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 145/884736], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 17/6193152], [[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 839/26542080], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 1/36864], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 1/983040], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 673/5308416], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 53/3538944], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1/221184], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 19/207360], [[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 1/829440], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 1/1152000], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 79/4147200], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 89/580608], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 7/124416], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 101/248832], [[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 67/746496], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 7/110592], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 391/1866240], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/241920], [[[1, 5], [2, 6], [3, 2], [8, 1], [9, 1]], 1/331776], [[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 1/23040], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 1/34560], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 5/20736], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 11/69672960], [[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 41/9953280], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1/39813120], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 241/5308416], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 1/663552], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 13/10616832], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 59/933120], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 31/24883200], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 11/8709120], [[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 1/34560], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 1/16128], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 13/331776], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 1/13824], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 181/8957952], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 1/7464960], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 25/23887872], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/933120], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 7/7464960], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 1/122880], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 2759/4608000], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/115200], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 1/409600], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 203/614400], [[[1, 5], [2, 6], [4, 1], [6, 1], [11, 1]], 1/8448], [[[1, 5], [2, 6], [4, 1], [6, 1], [22, 1]], 223/1105920], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 41/884736], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 13/2048000], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 1/72576], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 631/69672960], [[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 581/9953280], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 77/23887872], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 1/3732480], [[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 3889/4014080], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 43/614400], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 157/2359296], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 47/737280], [[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 1/230400], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 97/4915200], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 9/71680], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 31/1843200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 223/589824], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 83/2764800], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 11/258048], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 31/1161216], [[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 2369/15925248], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 1/36864], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 67/19906560], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 751/3440640], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 23/215040], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 601/1032192], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 281/2293760], [[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 13/258048], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 1/184320], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 199/1474560], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 11461/29491200], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 13/258048], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 901/12386304], [[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 707/5308416], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 875/7077888], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 13/983040], [[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 1/82944], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 2383/5898240], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 3/16384], [[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 1/23040], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 7/737280], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 91/393216], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 449/14155776], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 5/221184], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1331/6912000], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/64512], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 11/362880], [[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 7/62208], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 683/24883200], [[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 1/430080], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 7/38400], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 11/40320], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 827/3456000], [[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 709/1806336], [[[1, 5], [2, 6], [6, 1], [7, 1], [18, 1]], 1/12096], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 1/230400], [[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 1/1474560], [[[1, 5], [2, 6], [6, 1], [10, 1], [30, 1]], 157/4423680], [[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 157/18579456], [[[1, 5], [2, 6], [6, 2], [7, 1], [10, 1]], 1/40320], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 1/129024], [[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 13/331776], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/241920], [[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 13/414720], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 1/2488320], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 3/143360], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 619/8957952], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 1/98304], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 287/11059200], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 11891/63700992], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 137/123863040], [[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 137/53084160], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 1541/30965760], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 241/176947200], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 251/1327104], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 221/4718592], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 119/5529600], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 36131/849346560], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 253/7464960], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 19/722534400], [[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 109/206438400], [[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 13/2419200], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 49/221184000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 5/3538944], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 8413/88473600], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 181/5806080], [[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 1/497664], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 281/1769472], [[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 3619/26542080], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 43/1492992], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 295/2985984], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/967680], [[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 1/221184], [[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/414720], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 71/2580480], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 3851/11943936], [[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 11/8847360], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 1/80640], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 20419/106168320], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 191/17694720], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 7/1105920], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 659/53084160], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 253/8294400], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 169/14745600], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 41/92897280], [[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 25/7962624], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 1367/34836480], [[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 121/13063680], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 29/884736], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 353/1555200], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 85/2654208], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 289/106168320], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1/74649600], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 53/4147200], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 1/358318080], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 37/3732480], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 11/11468800], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 319/6451200], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 11/9216000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 919/17694720], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 17/192000], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 19/774144], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 4231/46448640], [[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 26981/159252480], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1099/23887872], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 8533/298598400], [[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 1/746496], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 577/41287680], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 29/1075200], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 611/5505024], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 4387/29491200], [[[1, 5], [2, 8], [4, 1], [12, 1], [14, 1]], 1/110592], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 23/1105920], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 251/4915200], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 11293/44236800], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 197/10321920], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 9143/46448640], [[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 87847/557383680], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 2143/8847360], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 28241/265420800], [[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 43/3317760], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 7859/22118400], [[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 1/49152], [[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 1/43200], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 1/61440], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 5323/14155776], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 4861/35389440], [[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 37/1327104], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 23/12902400], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 139/3628800], [[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 11/340200], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 148693/1327104000], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 451/11059200], [[[1, 5], [2, 8], [6, 1], [7, 1], [10, 1]], 1/53760], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 71/3317760], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 1553/30965760], [[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 541/13271040], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 19/1658880], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 1954853/20065812480], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 29/1734082560], [[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 43/1114767360], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 2809/325140480], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 1913/9909043200], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 123679/1114767360], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 4643/660602880], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 1/134400], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 1023/36700160], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 641/99532800], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 20371/4644864000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 113/185794560], [[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 1/19906560], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 9553/289013760], [[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 113/23224320], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 89/10321920], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 11069/159252480], [[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 7/11059200], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1/7431782400], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 25351/445906944], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 481/594542592], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 19/12902400], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 2087/371589120], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 509/1857945600], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 1/1105920], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 2363/348364800], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 2707/2972712960], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 629/99532800], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 3599/1238630400], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 2990081/74317824000], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 389/216760320], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 1715923/26011238400], [[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 322709/11147673600], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 52033/1274019840], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 503387/7962624000], [[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 5/3981312], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 5423/165150720], [[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 7/5529600], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 263/44236800], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 48101/495452160], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 22283/232243200], [[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 11/2654208], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 307757/9289728000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 733/132710400], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 3053/445906944000], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 698281/50164531200], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 2899/11890851840], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 871/1393459200], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 5828941/1070176665600], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 27373/222953472000], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 293/1045094400], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 100003/22295347200], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 113/254803968], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 169/418037760], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 33713/7644119040], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 8833253/668860416000], [[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 5/55738368], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 815611/3210529996800], [[[1, 5], [3, 1], [4, 1], [8, 1], [13, 1]], 1/19968], [[[1, 5], [3, 1], [4, 2], [5, 1], [11, 1]], 1/42240], [[[1, 5], [3, 1], [4, 2], [11, 1], [12, 1]], 1/6336], [[[1, 5], [3, 1], [4, 4], [5, 1], [7, 1]], 1/1290240], [[[1, 5], [3, 1], [4, 4], [5, 1], [9, 1]], 1/1105920], [[[1, 5], [3, 1], [5, 1], [7, 1], [8, 2]], 1/26880], [[[1, 5], [3, 1], [5, 1], [7, 1], [15, 1]], 1/840], [[[1, 5], [3, 1], [5, 1], [8, 2], [9, 1]], 1/23040], [[[1, 5], [3, 2], [4, 2], [5, 1], [15, 1]], 1/11520], [[[1, 5], [3, 2], [4, 2], [5, 2], [12, 1]], 1/86400], [[[1, 5], [3, 2], [4, 2], [7, 1], [9, 1]], 1/48384], [[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560], [[[1, 5], [3, 3], [4, 2], [7, 1], [12, 1]], 1/108864], [[[1, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 1/15552], [[[1, 5], [4, 1], [5, 1], [8, 1], [11, 1]], 1/28160], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/576000], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/75264], [[[1, 6], [2, 1], [3, 1], [4, 2], [13, 1]], 77/958464], [[[1, 6], [2, 1], [3, 1], [4, 3], [11, 1]], 13/202752], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 1/2764800], [[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 1/2064384], [[[1, 6], [2, 1], [3, 1], [4, 5], [9, 1]], 1/2654208], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/3920], [[[1, 6], [2, 1], [3, 1], [5, 1], [13, 1]], 23/37440], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 2]], 1/57600], [[[1, 6], [2, 1], [3, 1], [5, 2], [15, 1]], 7/14400], [[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/144000], [[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 1/6000], [[[1, 6], [2, 1], [3, 1], [7, 1], [11, 1]], 1/1848], [[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/37632], [[[1, 6], [2, 1], [3, 1], [8, 1], [13, 1]], 5/59904], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/144000], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 1/73728], [[[1, 6], [2, 1], [3, 2], [4, 1], [13, 1]], 5/29952], [[[1, 6], [2, 1], [3, 2], [4, 2], [11, 1]], 1/25344], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 7/2764800], [[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 1/2322432], [[[1, 6], [2, 1], [3, 2], [4, 4], [9, 1]], 7/7962624], [[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 1/4423680], [[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 1/3538944], [[[1, 6], [2, 1], [3, 2], [5, 1], [11, 1]], 19/63360], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/10080], [[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 1/5400], [[[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], [13, 1]], 1/7488], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 2]], 1/48384], [[[1, 6], [2, 1], [3, 2], [8, 1], [11, 1]], 1/12672], [[[1, 6], [2, 1], [3, 2], [8, 2], [9, 1]], 7/165888], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/691200], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/497664], [[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 13/497664], [[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 1/9953280], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 2]], 1/207360], [[[1, 6], [2, 1], [3, 3], [5, 1], [15, 1]], 1/5760], [[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/172800], [[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/21600], [[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 11/72576], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 1/1990656], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/870912], [[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/124416], [[[1, 6], [2, 1], [3, 4], [4, 3], [12, 1]], 1/746496], [[[1, 6], [2, 1], [3, 4], [4, 4], [6, 1]], 1/11943936], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/136080], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/19440], [[[1, 6], [2, 1], [3, 4], [6, 1], [8, 2]], 1/248832], [[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 1/217728], [[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/31104], [[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 1/2799360], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/6272], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 1/61440], [[[1, 6], [2, 1], [4, 1], [5, 1], [13, 1]], 1/12480], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 1/102400], [[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 19/384000], [[[1, 6], [2, 1], [4, 1], [5, 3], [10, 1]], 1/120000], [[[1, 6], [2, 1], [4, 1], [5, 3], [12, 1]], 1/72000], [[[1, 6], [2, 1], [4, 1], [7, 1], [11, 1]], 1/2464], [[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 13/25088], [[[1, 6], [2, 1], [4, 1], [7, 2], [10, 1]], 1/31360], [[[1, 6], [2, 1], [4, 1], [7, 2], [12, 1]], 1/18816], [[[1, 6], [2, 1], [4, 1], [8, 1], [13, 1]], 11/19968], [[[1, 6], [2, 1], [4, 1], [10, 1], [13, 1]], 1/12480], [[[1, 6], [2, 1], [4, 1], [12, 1], [13, 1]], 1/7488], [[[1, 6], [2, 1], [4, 2], [5, 1], [11, 1]], 13/1351680], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1/28672], [[[1, 6], [2, 1], [4, 2], [8, 1], [11, 1]], 1/22528], [[[1, 6], [2, 1], [4, 2], [11, 1], [12, 1]], 1/11520], [[[1, 6], [2, 1], [4, 3], [5, 2], [12, 1]], 1/38400], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 1/196608], [[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 1/1474560], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 1/2949120], [[[1, 6], [2, 1], [5, 1], [7, 1], [8, 2]], 1/30720], [[[1, 6], [2, 1], [5, 1], [8, 1], [11, 1]], 1/84480], [[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/2800], [[[1, 6], [2, 1], [5, 3], [6, 1], [8, 1]], 1/144000], [[[1, 6], [2, 1], [6, 1], [7, 2], [8, 1]], 1/37632], [[[1, 6], [2, 1], [6, 1], [8, 1], [13, 1]], 1/14976], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 79/1728000], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 19/112896], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 5/147456], [[[1, 6], [2, 3], [3, 1], [4, 1], [13, 1]], 395/718848], [[[1, 6], [2, 3], [3, 1], [4, 2], [11, 1]], 67/135168], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 11/460800], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 145/294912], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 103/3096576], [[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 113/2654208], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 31/5898240], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 245/7077888], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1/110592], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 1/4718592], [[[1, 6], [2, 3], [3, 1], [5, 1], [11, 1]], 17/50688], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/345600], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 1/16800], [[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 1/7200], [[[1, 6], [2, 3], [3, 1], [5, 2], [14, 1]], 1/12600], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 49/864000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 23/56448], [[[1, 6], [2, 3], [3, 1], [6, 1], [13, 1]], 365/359424], [[[1, 6], [2, 3], [3, 1], [6, 1], [26, 1]], 7/599040], [[[1, 6], [2, 3], [3, 1], [6, 2], [11, 1]], 1/19008], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 1/64512], [[[1, 6], [2, 3], [3, 1], [8, 1], [11, 1]], 1/4224], [[[1, 6], [2, 3], [3, 1], [8, 2], [9, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [10, 1], [11, 1]], 1/5280], [[[1, 6], [2, 3], [3, 1], [10, 1], [22, 1]], 7/844800], [[[1, 6], [2, 3], [3, 2], [4, 1], [11, 1]], 37/152064], [[[1, 6], [2, 3], [3, 2], [4, 1], [22, 1]], 1/50688], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 11/245760], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 53/147456], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 13/774144], [[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 59/442368], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 3/327680], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 7/21233664], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 13/442368], [[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 1/55296], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 1/1327104], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 1/184320], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/28800], [[[1, 6], [2, 3], [3, 2], [5, 1], [15, 1]], 13/69120], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 23/345600], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 31/1382400], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 73/288000], [[[1, 6], [2, 3], [3, 2], [6, 1], [11, 1]], 1/1728], [[[1, 6], [2, 3], [3, 2], [6, 1], [22, 1]], 1/76032], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 7/442368], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 1/145152], [[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 1/62208], [[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 37/290304], [[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 137/338688], [[[1, 6], [2, 3], [3, 2], [9, 1], [14, 1]], 1/5184], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 1/138240], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 13/331776], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 37/4644864], [[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 97/663552], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 7/4976640], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 13/663552], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 1/221184], [[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 1/124416], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 59/10616832], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/90720], [[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1/10368], [[[1, 6], [2, 3], [3, 3], [5, 1], [14, 1]], 1/45360], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 79/1036800], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 1/73728], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/345600], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 103/435456], [[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 23/62208], [[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/145152], [[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/62208], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 43/1741824], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 1/120960], [[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 25/248832], [[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/62208], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 1/373248], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 1/23328], [[[1, 6], [2, 3], [3, 4], [4, 1], [14, 1]], 1/435456], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/1244160], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 23/1492992], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 19/3981312], [[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 1/1244160], [[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 1/497664], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 11/1990656], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1/25920], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/311040], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 7/186624], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 31/186624], [[[1, 6], [2, 3], [3, 4], [6, 1], [14, 1]], 1/54432], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 11/373248], [[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 1/116640], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/279936], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 11/14929920], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 11/22394880], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 1/186624], [[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 1/3499200], [[[1, 6], [2, 3], [4, 1], [5, 1], [11, 1]], 41/92160], [[[1, 6], [2, 3], [4, 1], [5, 1], [22, 1]], 1/42240], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 1/5600], [[[1, 6], [2, 3], [4, 1], [5, 2], [14, 1]], 1/22400], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 7/576000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 1/16128], [[[1, 6], [2, 3], [4, 1], [6, 1], [13, 1]], 7/29952], [[[1, 6], [2, 3], [4, 1], [6, 1], [26, 1]], 11/2396160], [[[1, 6], [2, 3], [4, 1], [6, 2], [11, 1]], 1/50688], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 19/172032], [[[1, 6], [2, 3], [4, 1], [8, 1], [11, 1]], 91/112640], [[[1, 6], [2, 3], [4, 1], [10, 1], [11, 1]], 1/5280], [[[1, 6], [2, 3], [4, 1], [10, 1], [22, 1]], 1/307200], [[[1, 6], [2, 3], [4, 1], [11, 1], [12, 1]], 5/25344], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 23/30720], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 97/1228800], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 89/307200], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 297/1024000], [[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 1/14400], [[[1, 6], [2, 3], [4, 2], [6, 1], [11, 1]], 9/112640], [[[1, 6], [2, 3], [4, 2], [6, 1], [22, 1]], 1/1622016], [[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 83/229376], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 151/491520], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 67/573440], [[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/307200], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 1/147456], [[[1, 6], [2, 3], [4, 3], [6, 2], [18, 1]], 1/2654208], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 107/229376], [[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 1/35840], [[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 1/8064], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 1/1376256], [[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 1/3440640], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 7/184320], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 43/1474560], [[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 1/23040], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 7/73728], [[[1, 6], [2, 3], [5, 1], [6, 1], [11, 1]], 13/506880], [[[1, 6], [2, 3], [5, 1], [6, 1], [22, 1]], 1/63360], [[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 1/960], [[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 1/30720], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/43200], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 7/76800], [[[1, 6], [2, 3], [6, 1], [8, 1], [11, 1]], 5/50688], [[[1, 6], [2, 3], [6, 1], [10, 1], [11, 1]], 1/14400], [[[1, 6], [2, 3], [6, 2], [7, 1], [14, 1]], 1/32256], [[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 3/14336], [[[1, 6], [2, 3], [7, 1], [10, 1], [14, 1]], 1/8960], [[[1, 6], [2, 5], [3, 1], [4, 1], [11, 1]], 223/1105920], [[[1, 6], [2, 5], [3, 1], [4, 1], [22, 1]], 1/8448], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 83/2764800], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 25/23887872], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 223/589824], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 31/1843200], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 13/10616832], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 901/12386304], [[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 707/5308416], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 13/258048], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 449/14155776], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1/221184], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 91/393216], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 7/737280], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 5/221184], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 305/14155776], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/933120], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 1/1474560], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 827/3456000], [[[1, 6], [2, 5], [3, 1], [5, 1], [15, 1]], 157/4423680], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 79/4147200], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 1/230400], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1331/6912000], [[[1, 6], [2, 5], [3, 1], [6, 1], [11, 1]], 25/76032], [[[1, 6], [2, 5], [3, 1], [6, 1], [22, 1]], 97/1013760], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 1/1152000], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 1/16128], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 11/8709120], [[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 1/34560], [[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 157/18579456], [[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 709/1806336], [[[1, 6], [2, 5], [3, 1], [9, 1], [14, 1]], 1/12096], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 13/2048000], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 181/8957952], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 41/884736], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/115200], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 241/5308416], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 31/1161216], [[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 2369/15925248], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 11/258048], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 13/983040], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 673/5308416], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 875/7077888], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 1/184320], [[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 1/82944], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 37/1179648], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 1/13824], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/241920], [[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 13/414720], [[[1, 6], [2, 5], [3, 2], [5, 1], [14, 1]], 1/40320], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 23/552960], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 1/221184], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 13/1382400], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 101/248832], [[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 67/746496], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 89/580608], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 7/124416], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 13/331776], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 59/933120], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 1/129024], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 11/362880], [[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 13/331776], [[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 7/62208], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/64512], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 5/20736], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 631/69672960], [[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 581/9953280], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 1/72576], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 67/19906560], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 145/884736], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 1/36864], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 439/15925248], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 391/1866240], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 1/2488320], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 683/24883200], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 17/387072], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 29/165888], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 1/10368], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 7/110592], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 19/207360], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 1/3732480], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 29/331776], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 77/23887872], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 7/7464960], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 203/23887872], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/124416], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 5/746496], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/124416], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 7/2239488], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 1/7464960], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 47/737280], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 203/614400], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/76800], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 43/614400], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 2759/4608000], [[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 1/230400], [[[1, 6], [2, 5], [4, 1], [6, 1], [11, 1]], 1/4608], [[[1, 6], [2, 5], [4, 1], [6, 1], [22, 1]], 1/21120], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/442368], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 11/55296000], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 11/69672960], [[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 41/9953280], [[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 3889/4014080], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 1/409600], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 157/2359296], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 1/122880], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 281/2293760], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 23/215040], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 19/460800], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 71/589824], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 1/819200], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 1/36864], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 17/6193152], [[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 839/26542080], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 1/663552], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1/39813120], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 601/1032192], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 9/71680], [[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 13/258048], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 751/3440640], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 97/4915200], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 2383/5898240], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 11461/29491200], [[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 1/23040], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 17/258048], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 11/2064384], [[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 5/663552], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 53/3538944], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 1/983040], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 199/1474560], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 3/16384], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1/184320], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 35/786432], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 13/11796480], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 173/2304000], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 1/34560], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/241920], [[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 1/23040], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 31/24883200], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 3/143360], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 11/40320], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 7/38400], [[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 1/460800], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 683/3456000], [[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 403/1806336], [[[1, 6], [2, 5], [6, 1], [7, 1], [18, 1]], 1/24192], [[[1, 6], [2, 5], [6, 1], [10, 1], [30, 1]], 181/11059200], [[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 181/46448640], [[[1, 6], [2, 5], [6, 2], [8, 1], [18, 1]], 1/331776], [[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 1/829440], [[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 1/430080], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 29/27648000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 157/7464960], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1/73728], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 11/460800], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 18755/191102976], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 83/4423680], [[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 107/2949120], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 601/6193152], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 2491/176947200], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 1943/10616832], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 11237/70778880], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 49/1105920], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 31337/283115520], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 317/7464960], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 1/1228800], [[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 107/33177600], [[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 1/96768], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 3007/663552000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 7/5898240], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 16049/442368000], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 277/3870720], [[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 1/124416], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 3979/61931520], [[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 7801/79626240], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 17/1327104], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 607/24883200], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 1/1548288], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 1/96768], [[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 1/663552], [[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 1/516096], [[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 1/51840], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 317/12902400], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 2837/8957952], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 83/46448640], [[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 473/26542080], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 1/40320], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 149/88473600], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 4477/10616832], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 391/8847360], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 1/55296], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 41/663552], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 107/1036800], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 3989/132710400], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 571/55738368], [[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 3571/119439360], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 85/1161216], [[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 31/2488320], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 107/2654208], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 203/995328], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 11/99532800], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 16919/119439360], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 1/2654208], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 1/1244160], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 893/35389440], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 67/74649600], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1/1327104], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 121/4147200], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 119/119439360], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 11/1866240], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 1219/103219200], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 547/6451200], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 161/18432000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 131/3538944], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 199/9216000], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 1/28672], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 79/2903040], [[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 4511/53084160], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 1/82944], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 1/230400], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 253/5898240], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 47/645120], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 1345/16515072], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 12413/206438400], [[[1, 6], [2, 7], [4, 1], [12, 1], [14, 1]], 1/258048], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 7/276480], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 571/3686400], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 38093/88473600], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 53/688128], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 5171/61931520], [[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 319/2654208], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 2381/17694720], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 6877/265420800], [[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 7/2211840], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 4601/14745600], [[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 1/49152], [[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 7/614400], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 7/184320], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 24461/70778880], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 2339/35389440], [[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 7/442368], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 397/38707200], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 31/967680], [[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 1/25600], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 19249/265420800], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 13/245760], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 1/53760], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 13/1548288], [[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 1/82944], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 871/77414400], [[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 2107/132710400], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 1/552960], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 39667/382205952], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 1597/3468165120], [[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 1559/1486356480], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 113/5160960], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 1423/707788800], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 72421/371589120], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 713/23592960], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 253/11059200], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 127/1310720], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 2239/116121600], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 107587/6193152000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 481/115605504], [[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 11/9953280], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 19969/464486400], [[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 533/49766400], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 173/13271040], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 41653/663552000], [[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 1/1382400], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 19/2477260800], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 144943/955514880], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 19141/5945425920], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 173/38707200], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 2839/106168320], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 6469/3715891200], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 5/2654208], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 457/24883200], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 4777/955514880], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 157/12441600], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 56381/4954521600], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 1158719/12386304000], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 13/1474560], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 12223/206438400], [[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 111157/2786918400], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 2939/70778880], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 104849/2654208000], [[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 1/1105920], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 3899/88473600], [[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 1/691200], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 193/11059200], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 4007/26214400], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 201919/2123366400], [[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 73/13271040], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 17611/331776000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 217/44236800], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 2161/29727129600], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 825589/22295347200], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 511/339738624], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 41/14515200], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 25540037/1070176665600], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 552257/668860416000], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 389/371589120], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 388543/37158912000], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 60313/20065812480], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 16193/8360755200], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 21803/1981808640], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 1623443/74317824000], [[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 1/4423680], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 7857359/5350883328000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 47/576000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 11/37632], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 11/737280], [[[1, 7], [2, 2], [3, 1], [4, 1], [13, 1]], 1031/2396160], [[[1, 7], [2, 2], [3, 1], [4, 2], [11, 1]], 515/1622016], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 23/1382400], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 1/49152], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 61/3096576], [[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 143/13271040], [[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 7/17694720], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 11/35389440], [[[1, 7], [2, 2], [3, 1], [5, 1], [11, 1]], 113/253440], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1/4200], [[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1/5400], [[[1, 7], [2, 2], [3, 1], [5, 2], [14, 1]], 1/50400], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 43/864000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 23/56448], [[[1, 7], [2, 2], [3, 1], [6, 1], [13, 1]], 161/359424], [[[1, 7], [2, 2], [3, 1], [6, 1], [26, 1]], 1/1797120], [[[1, 7], [2, 2], [3, 1], [6, 2], [11, 1]], 1/76032], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 1/64512], [[[1, 7], [2, 2], [3, 1], [8, 1], [11, 1]], 31/253440], [[[1, 7], [2, 2], [3, 1], [8, 2], [9, 1]], 1/92160], [[[1, 7], [2, 2], [3, 1], [10, 1], [11, 1]], 1/21120], [[[1, 7], [2, 2], [3, 1], [10, 1], [22, 1]], 1/2534400], [[[1, 7], [2, 2], [3, 2], [4, 1], [11, 1]], 5/16896], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 181/3686400], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 5/32768], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/36288], [[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 427/7962624], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 49/5308416], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 1/21233664], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 19/884736], [[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 1/110592], [[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 1/5308416], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 1/110592], [[[1, 7], [2, 2], [3, 2], [5, 1], [15, 1]], 1/7680], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 19/1036800], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 13/460800], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 9/32000], [[[1, 7], [2, 2], [3, 2], [6, 1], [11, 1]], 7/19008], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 1/442368], [[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 1/3584], [[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 121/677376], [[[1, 7], [2, 2], [3, 2], [9, 1], [14, 1]], 1/36288], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 17/414720], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 11/497664], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 61/4644864], [[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 89/663552], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/155520], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1/110592], [[[1, 7], [2, 2], [3, 3], [4, 3], [12, 1]], 1/93312], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 7/31850496], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 1/12960], [[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 1/4320], [[[1, 7], [2, 2], [3, 3], [5, 1], [14, 1]], 1/90720], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 127/1036800], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 7/663552], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 163/1306368], [[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 19/186624], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 55/1741824], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/362880], [[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 7/82944], [[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/51840], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 1/96768], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 5/62208], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/622080], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/165888], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 19/3981312], [[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 1/1244160], [[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 5/1492992], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/186624], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 1/25920], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/155520], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1/69120], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 73/1306368], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 31/186624], [[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 1/186624], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/777600], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 1/279936], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 29/14929920], [[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 1/4665600], [[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 1/2799360], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 41/22394880], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/116640], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 31/5598720], [[[1, 7], [2, 2], [3, 5], [6, 1], [10, 1]], 1/3499200], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 1/8398080], [[[1, 7], [2, 2], [4, 1], [5, 1], [11, 1]], 887/3379200], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 13/67200], [[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 7/1728000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/56448], [[[1, 7], [2, 2], [4, 1], [6, 1], [13, 1]], 5/89856], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 1/40960], [[[1, 7], [2, 2], [4, 1], [8, 1], [11, 1]], 39/112640], [[[1, 7], [2, 2], [4, 1], [10, 1], [11, 1]], 1/19200], [[[1, 7], [2, 2], [4, 1], [11, 1], [12, 1]], 1/11520], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 49/245760], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 19/153600], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 161/6144000], [[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 1/23040], [[[1, 7], [2, 2], [4, 2], [6, 1], [11, 1]], 1/92160], [[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 5/229376], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 11/491520], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 47/2064384], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 25/1376256], [[[1, 7], [2, 2], [4, 3], [7, 1], [12, 1]], 11/322560], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 7/737280], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/5529600], [[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 1/73728], [[[1, 7], [2, 2], [5, 1], [6, 1], [11, 1]], 1/506880], [[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 67/188160], [[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 1/115200], [[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 1/76800], [[[1, 7], [2, 2], [6, 1], [8, 1], [11, 1]], 1/23040], [[[1, 7], [2, 2], [6, 1], [10, 1], [11, 1]], 1/158400], [[[1, 7], [2, 2], [7, 1], [8, 1], [14, 1]], 1/43008], [[[1, 7], [2, 4], [3, 1], [4, 1], [11, 1]], 289/760320], [[[1, 7], [2, 4], [3, 1], [4, 1], [22, 1]], 7/675840], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 647/4423680], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 449/983040], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 1/10616832], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 79/442368], [[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 59/331776], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 3209/70778880], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 769/3538944], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 1/184320], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 7/221184], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 11/1769472], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 1/294912], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 29/256000], [[[1, 7], [2, 4], [3, 1], [5, 1], [15, 1]], 157/4423680], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 1/61440], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 17/691200], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1231/3456000], [[[1, 7], [2, 4], [3, 1], [6, 1], [11, 1]], 1307/3041280], [[[1, 7], [2, 4], [3, 1], [6, 1], [22, 1]], 1/138240], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 1/41472000], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 1/48384], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 1/52254720], [[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 1/7464960], [[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 925/18579456], [[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 2957/9031680], [[[1, 7], [2, 4], [3, 1], [9, 1], [14, 1]], 1/20160], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 337/5529600], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1/12288], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/460800], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 7/1769472], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 2551/18579456], [[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 5219/15925248], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 5/258048], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 301/4423680], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 265/10616832], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 449/1769472], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/92160], [[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 5/165888], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 7/196608], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 1/41472], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 1/20160], [[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 23/165888], [[[1, 7], [2, 4], [3, 2], [5, 1], [14, 1]], 1/24192], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 193/1036800], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 1/110592], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 7/4608000], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 25/55296], [[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 29/497664], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 1/71680], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 31/2488320], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 7/331776], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 1/207360], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 23/580608], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 17/362880], [[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 11/124416], [[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 7/62208], [[[1, 7], [2, 4], [3, 2], [10, 1], [14, 1]], 1/322560], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 17/248832], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 811/20901888], [[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 175/995328], [[[1, 7], [2, 4], [3, 3], [4, 1], [14, 1]], 1/54432], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 1267/39813120], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 1105/7962624], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 107/995328], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 1/207360], [[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 7/746496], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 2161/47775744], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 197/622080], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 13/1244160], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 923/12441600], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 425/2612736], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 1/2916], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 17/290304], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 5/82944], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 13/311040], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 1/186624], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 377/2985984], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 461/23887872], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 1/622080], [[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 1/1492992], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 215/5971968], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 11/233280], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 23/995328], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 7/622080], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 1/82944], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 31/368640], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 299/3072000], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 1/115200], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 53/245760], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 2447/4608000], [[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 7], [2, 4], [4, 1], [6, 1], [11, 1]], 19/135168], [[[1, 7], [2, 4], [4, 1], [6, 1], [22, 1]], 1/368640], [[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 3347/7225344], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 181/5898240], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 1969/6881280], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 1/43008], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 1/30720], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 29/589824], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1/258048], [[[1, 7], [2, 4], [4, 2], [6, 2], [18, 1]], 49/26542080], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 887/1290240], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 13/215040], [[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 67/774144], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 13/491520], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 7/4915200], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 103/245760], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 5063/29491200], [[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 1/15360], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 23/1290240], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 1/4128768], [[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 1/1769472], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 1/7077888], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 113/1966080], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 17/147456], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1/737280], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 13/2359296], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 1/11796480], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 1/54000], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 1/40320], [[[1, 7], [2, 4], [5, 1], [6, 2], [18, 1]], 1/207360], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 1/20160], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 11/40320], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/23040], [[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 137/2304000], [[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 5/86016], [[[1, 7], [2, 4], [6, 1], [10, 1], [30, 1]], 11/3686400], [[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 11/15482880], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 199/9216000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 119/119439360], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 131/3538944], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 161/18432000], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 893/35389440], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 5171/61931520], [[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 319/2654208], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 53/688128], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 2339/35389440], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 41/663552], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 24461/70778880], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 7/184320], [[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 7/442368], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 31337/283115520], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 121/4147200], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 871/77414400], [[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 2107/132710400], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 1/53760], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 16049/442368000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 7/5898240], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 3007/663552000], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 85/1161216], [[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 31/2488320], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 571/55738368], [[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 3571/119439360], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1/1327104], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 67/74649600], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 13/1548288], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 31/967680], [[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 1/82944], [[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 1/25600], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 397/38707200], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 16919/119439360], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 79/2903040], [[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 4511/53084160], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 1/28672], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 6877/265420800], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 4477/10616832], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 2381/17694720], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 7/276480], [[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 7/2211840], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 1943/10616832], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 203/995328], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 1/552960], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 19249/265420800], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 3979/61931520], [[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 7801/79626240], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 277/3870720], [[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 1/124416], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 107/2654208], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 107/1036800], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 1/230400], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 2837/8957952], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 1/82944], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 11/1866240], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 18755/191102976], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 607/24883200], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 17/1327104], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 317/7464960], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 157/7464960], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 1/1244160], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 12413/206438400], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 47/645120], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 11/460800], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1/73728], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 29/27648000], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 1/40320], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 83/46448640], [[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 473/26542080], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 1/2654208], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 11/99532800], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 1345/16515072], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 547/6451200], [[[1, 7], [2, 6], [4, 1], [7, 1], [12, 1]], 1/258048], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 253/5898240], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 1219/103219200], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 1/55296], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 4601/14745600], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 38093/88473600], [[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 7/614400], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 601/6193152], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 83/4423680], [[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 107/2949120], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 391/8847360], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 149/88473600], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 571/3686400], [[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 1/49152], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 49/1105920], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 11237/70778880], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 2491/176947200], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 317/12902400], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 1/96768], [[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 1/51840], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 3989/132710400], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 13/245760], [[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 1/516096], [[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 1/96768], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 1/1548288], [[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 1/663552], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 1/1228800], [[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 107/33177600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 11711/212336640], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 331/61931520], [[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 43/4423680], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 281/9676800], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 8039/707788800], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 4561/26542080], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 589/7864320], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 139/3686400], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 33659/212336640], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 637/20736000], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/8847360], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 11/307200], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 43/2903040], [[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 139/24883200], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 175523/5573836800], [[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 11771/1045094400], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 17/2211840], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 106373/3981312000], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 1/3686400], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 179/265420800], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 145387/637009920], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 133/17694720], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 143/16588800], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 4559/53084160], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 1321/199065600], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 31/13271040], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 1229/41472000], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 50299/2866544640], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 433/33177600], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 409/17694720], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 79913/589824000], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 139/6451200], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 19529/743178240], [[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 15259/530841600], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 1775/84934656], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 551/53084160], [[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 1/6635520], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 12581/353894400], [[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 1/1843200], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 739/22118400], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 10381/78643200], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 31181/707788800], [[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 31/13271040], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 13717/265420800], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 67/44236800], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 1793/4246732800], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 141983/2786918400], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 10627/2378170368], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 43/6912000], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 3098051/59454259200], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 201911/74317824000], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 13/7077888], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 1432183/111476736000], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 18689/1783627776], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 2167/464486400], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 62347/4246732800], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 65101/3538944000], [[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 1/4423680], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 6030541/1337720832000], [[[1, 7], [3, 1], [4, 1], [8, 1], [11, 1]], 1/33792], [[[1, 7], [3, 1], [4, 2], [5, 1], [15, 1]], 1/368640], [[[1, 7], [3, 1], [4, 2], [5, 2], [12, 1]], 1/86400], [[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 1/1548288], [[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 13/60480], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 1/460800], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640], [[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/69120], [[[1, 7], [3, 2], [4, 2], [7, 1], [12, 1]], 1/72576], [[[1, 7], [3, 2], [4, 2], [9, 1], [12, 1]], 1/62208], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/580608], [[[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], [4, 2], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 7/192000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 1/7168], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 1/737280], [[[1, 8], [2, 1], [3, 1], [4, 1], [13, 1]], 211/2396160], [[[1, 8], [2, 1], [3, 1], [4, 2], [11, 1]], 79/4055040], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/172800], [[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 1/11612160], [[[1, 8], [2, 1], [3, 1], [4, 4], [9, 1]], 11/278691840], [[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/17694720], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 1/35389440], [[[1, 8], [2, 1], [3, 1], [5, 1], [11, 1]], 47/230400], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 11/50400], [[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 1/10800], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/96000], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 11/112896], [[[1, 8], [2, 1], [3, 1], [6, 1], [13, 1]], 1/14976], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 2]], 1/241920], [[[1, 8], [2, 1], [3, 1], [8, 1], [11, 1]], 7/506880], [[[1, 8], [2, 1], [3, 1], [8, 2], [9, 1]], 11/5806080], [[[1, 8], [2, 1], [3, 2], [4, 1], [11, 1]], 1/8448], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 47/7372800], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 1/147456], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 25/2322432], [[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 79/7962624], [[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 11/132710400], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 2]], 11/2764800], [[[1, 8], [2, 1], [3, 2], [5, 1], [15, 1]], 7/230400], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 1/153600], [[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 1/14400], [[[1, 8], [2, 1], [3, 2], [6, 1], [11, 1]], 1/12672], [[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 83/414720], [[[1, 8], [2, 1], [3, 2], [7, 1], [14, 1]], 1/32256], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 71/2073600], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 1/995328], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 205/27869184], [[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 23/1327104], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 5/995328], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/221184], [[[1, 8], [2, 1], [3, 3], [4, 3], [12, 1]], 1/373248], [[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/31850496], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 53/544320], [[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 1/5760], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 19/345600], [[[1, 8], [2, 1], [3, 3], [6, 1], [8, 2]], 1/663552], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 13/1741824], [[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 1/82944], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/124416], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1/20736], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/622080], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 1/3981312], [[[1, 8], [2, 1], [3, 4], [4, 2], [12, 1]], 7/4478976], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/311040], [[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 1/207360], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 13/435456], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/20736], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/777600], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 19/14929920], [[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 1/4665600], [[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 1/2799360], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/746496], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/116640], [[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 1/5598720], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/8398080], [[[1, 8], [2, 1], [4, 1], [5, 1], [11, 1]], 107/3379200], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/16800], [[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/1728000], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/451584], [[[1, 8], [2, 1], [4, 1], [6, 1], [13, 1]], 1/179712], [[[1, 8], [2, 1], [4, 1], [7, 1], [8, 2]], 1/860160], [[[1, 8], [2, 1], [4, 1], [8, 1], [11, 1]], 29/675840], [[[1, 8], [2, 1], [4, 1], [10, 1], [11, 1]], 1/211200], [[[1, 8], [2, 1], [4, 1], [11, 1], [12, 1]], 1/126720], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/122880], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 1/204800], [[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 1/1228800], [[[1, 8], [2, 1], [4, 2], [5, 2], [12, 1]], 1/216000], [[[1, 8], [2, 1], [4, 2], [7, 1], [14, 1]], 1/688128], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 31/10321920], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/1376256], [[[1, 8], [2, 1], [4, 3], [7, 1], [12, 1]], 1/322560], [[[1, 8], [2, 1], [4, 4], [5, 1], [10, 1]], 1/88473600], [[[1, 8], [2, 1], [5, 1], [7, 1], [14, 1]], 1/26880], [[[1, 8], [2, 1], [5, 1], [8, 2], [10, 1]], 1/1843200], [[[1, 8], [2, 1], [6, 1], [8, 1], [11, 1]], 1/253440], [[[1, 8], [2, 3], [3, 1], [4, 1], [11, 1]], 3911/12165120], [[[1, 8], [2, 3], [3, 1], [4, 1], [22, 1]], 1/2027520], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 149/921600], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 13/73728], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 1489/12386304], [[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 491/8847360], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 313/17694720], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 983/35389440], [[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 11/1105920], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1/13271040], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 1/245760], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 41/2304000], [[[1, 8], [2, 3], [3, 1], [5, 1], [15, 1]], 181/11059200], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 17/2764800], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 1/34560], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 349/1152000], [[[1, 8], [2, 3], [3, 1], [6, 1], [11, 1]], 367/1520640], [[[1, 8], [2, 3], [3, 1], [6, 1], [22, 1]], 1/3041280], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/290304], [[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 4021/46448640], [[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 661/5419008], [[[1, 8], [2, 3], [3, 1], [9, 1], [14, 1]], 11/1270080], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 809/5529600], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 47/1105920], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 73/387072], [[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 257/983040], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 859/13271040], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 17/10616832], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 361/2359296], [[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 1/184320], [[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 7/331776], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 233/26542080], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 1/207360], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 5/32256], [[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 1/4608], [[[1, 8], [2, 3], [3, 2], [5, 1], [14, 1]], 11/604800], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 673/2764800], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 1/184320], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 1/13824000], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 253/1161216], [[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 7/497664], [[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 1/5806080], [[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 1/2488320], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 1/331776], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 13/290304], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 1/40320], [[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 83/1244160], [[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 1/23040], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/248832], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 1891/20901888], [[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 223/995328], [[[1, 8], [2, 3], [3, 3], [4, 1], [14, 1]], 1/217728], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 643/9953280], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 275/15925248], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 247/1990656], [[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 1/155520], [[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 5/373248], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 2177/95551488], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 191/933120], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 11/622080], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 317/4147200], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 2311/10450944], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 137/497664], [[[1, 8], [2, 3], [3, 3], [6, 1], [14, 1]], 1/145152], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 5/248832], [[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 1/311040], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 11/466560], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 545/8957952], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 373/11943936], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 1/622080], [[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 1/497664], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 37/1119744], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 17/186624], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 59/2985984], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 5/1119744], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 211/11197440], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 59/1843200], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1/72000], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/460800], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 949/4608000], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1829/9216000], [[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 8], [2, 3], [4, 1], [6, 1], [11, 1]], 227/6082560], [[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 85/802816], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 11/1966080], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 7643/34406400], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 1/108000], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 1/147456], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 167/491520], [[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 11/537600], [[[1, 8], [2, 3], [4, 2], [7, 1], [12, 1]], 79/1935360], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 69/655360], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 1699/88473600], [[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 11/460800], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 1/430080], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 1/122880], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 47/2211840], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/864000], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 1/107520], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 13/322560], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 7/38400], [[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 1/403200], [[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 203/34560000], [[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 1/258048], [[[1, 8], [2, 3], [6, 1], [10, 1], [30, 1]], 19/103219200], [[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 19/433520640], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 17/192000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 1/358318080], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 919/17694720], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 11/9216000], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 289/106168320], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 9143/46448640], [[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 87847/557383680], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 197/10321920], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 4861/35389440], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 659/53084160], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 5323/14155776], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 1/61440], [[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 37/1327104], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 36131/849346560], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 53/4147200], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 1553/30965760], [[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 541/13271040], [[[1, 8], [2, 5], [3, 1], [5, 1], [14, 1]], 1/53760], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 8413/88473600], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 5/3538944], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 49/221184000], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 1367/34836480], [[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 121/13063680], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 41/92897280], [[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 25/7962624], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1/74649600], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 1/43008], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 139/3628800], [[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 71/3317760], [[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 11/340200], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 23/12902400], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 85/2654208], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 4231/46448640], [[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 26981/159252480], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 19/774144], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 28241/265420800], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 20419/106168320], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 2143/8847360], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 23/1105920], [[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 43/3317760], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 251/1327104], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 353/1555200], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 19/1658880], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 148693/1327104000], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 281/1769472], [[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 3619/26542080], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 181/5806080], [[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 1/497664], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 29/884736], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 253/8294400], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 8533/298598400], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 3851/11943936], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1099/23887872], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 37/3732480], [[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 1/746496], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 11891/63700992], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 295/2985984], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 43/1492992], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 253/7464960], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 619/8957952], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 4387/29491200], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 29/1075200], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 287/11059200], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 1/98304], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 1/80640], [[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 11/8847360], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 611/5505024], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 319/6451200], [[[1, 8], [2, 5], [4, 1], [7, 1], [12, 1]], 1/110592], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 577/41287680], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 11/11468800], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 7/1105920], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 7859/22118400], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 11293/44236800], [[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 1/43200], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 1541/30965760], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 137/123863040], [[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 137/53084160], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 191/17694720], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 251/4915200], [[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 1/49152], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 119/5529600], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 221/4718592], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 241/176947200], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 71/2580480], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/967680], [[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/414720], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 169/14745600], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 451/11059200], [[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 1/221184], [[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 13/2419200], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 19/722534400], [[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 109/206438400], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 50299/2866544640], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 19529/743178240], [[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 15259/530841600], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 139/6451200], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 31181/707788800], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 4559/53084160], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 10381/78643200], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 739/22118400], [[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 31/13271040], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 33659/212336640], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 1229/41472000], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 67/44236800], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 13717/265420800], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 175523/5573836800], [[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 11771/1045094400], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 43/2903040], [[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 139/24883200], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 31/13271040], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 1321/199065600], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 551/53084160], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 145387/637009920], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 1775/84934656], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 433/33177600], [[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 1/6635520], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 4561/26542080], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 106373/3981312000], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 17/2211840], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 637/20736000], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 11711/212336640], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 143/16588800], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 12581/353894400], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 79913/589824000], [[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 1/1843200], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 281/9676800], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 331/61931520], [[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 43/4423680], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 133/17694720], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 179/265420800], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 409/17694720], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 139/3686400], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 589/7864320], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 8039/707788800], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 1/3686400], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 11/307200], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/8847360], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 18667/9909043200], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 393547/9555148800], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 467353/59454259200], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 6187/774144000], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 11755/169869312], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 420197/74317824000], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 11/6635520], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 153679/15925248000], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 18731/796262400], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 4733/663552000], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 16883/1415577600], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 16729/2123366400], [[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 1/13271040], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 49097/6270566400], [[[1, 9], [2, 2], [3, 1], [4, 1], [11, 1]], 3/28160], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 67/1474560], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/49152], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 187/18579456], [[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 41/9953280], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 811/265420800], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 103/35389440], [[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 1/1105920], [[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 1/212336640], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 17/11059200], [[[1, 9], [2, 2], [3, 1], [5, 1], [15, 1]], 11/3686400], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 1/1036800], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 11/1152000], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 41/460800], [[[1, 9], [2, 2], [3, 1], [6, 1], [11, 1]], 169/3041280], [[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 779/15482880], [[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 103/5419008], [[[1, 9], [2, 2], [3, 1], [9, 1], [14, 1]], 1/2540160], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 6103/55296000], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 7/1327104], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 479/6193152], [[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 289/5308416], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 1343/132710400], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 17/1966080], [[[1, 9], [2, 2], [3, 2], [4, 3], [12, 1]], 1/311040], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 11/557383680], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 11/69120], [[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 7/51200], [[[1, 9], [2, 2], [3, 2], [5, 1], [14, 1]], 1/604800], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 43/384000], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 11/11612160], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1/31104], [[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/746496], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 41/2903040], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 1/241920], [[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 181/11612160], [[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 1/207360], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 1837/23224320], [[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 391/3317760], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 1499/39813120], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 5/5308416], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 85/1990656], [[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 1/622080], [[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 1/233280], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 127/31850496], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 73/1866240], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 53/6220800], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 277/8294400], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 3097/26127360], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 1/11520], [[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 1/497664], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 17/622080], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/559872], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 229/11943936], [[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 7/7464960], [[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 7/4478976], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 361/71663616], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 1/15552], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 31/8957952], [[[1, 9], [2, 2], [3, 4], [6, 1], [10, 1]], 1/5598720], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7/699840], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 23/6451200], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 1/1152000], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 131/2048000], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 311/15360000], [[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 1/216000], [[[1, 9], [2, 2], [4, 1], [6, 1], [11, 1]], 17/3041280], [[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 11/1720320], [[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 19/55050240], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 471/11468800], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 31/27648000], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 149/3440640], [[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 1/537600], [[[1, 9], [2, 2], [4, 2], [7, 1], [12, 1]], 13/2709504], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 7/1474560], [[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 73/88473600], [[[1, 9], [2, 2], [4, 3], [5, 1], [12, 1]], 11/4838400], [[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 29/30965760], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/967680], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 13/1290240], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 1/23040], [[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 1/432000], [[[1, 9], [2, 2], [5, 2], [6, 1], [10, 1]], 1/4320000], [[[1, 9], [2, 2], [6, 1], [10, 1], [30, 1]], 1/309657600], [[[1, 9], [2, 2], [6, 1], [14, 1], [18, 1]], 1/1300561920], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 1871/13824000], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 77/2949120], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 1/18432000], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 1801/9289728], [[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 49801/557383680], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 17/10321920], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 18347/176947200], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 1/829440], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 12089/70778880], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 11/1843200], [[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 23/1658880], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 389/84934656], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 13/4147200], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 979/10321920], [[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 2153/44236800], [[[1, 9], [2, 4], [3, 1], [5, 1], [14, 1]], 17/2419200], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 13283/132710400], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 1/1474560], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 19/2064384000], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 71/5806080], [[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 19/5806080], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 19/867041280], [[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 169/1114767360], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 257/11612160], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 277/14515200], [[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 247/17418240], [[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 73/6220800], [[[1, 9], [2, 4], [3, 1], [10, 1], [14, 1]], 1/12902400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 53/9953280], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 241/1741824], [[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 17705/111476736], [[[1, 9], [2, 4], [3, 2], [4, 1], [14, 1]], 1/181440], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 39223/265420800], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 81029/2229534720], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 2131/10616832], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 11/1105920], [[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 53/3981312], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 9631/159252480], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 1051/8294400], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 133/8294400], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 58873/663552000], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 46919/278691840], [[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 73309/836075520], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 373/81285120], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 161/13271040], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 43/10886400], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 2509/37324800], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 16753/119439360], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 3571/59719680], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 1/155520], [[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 1/373248], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 135043/955514880], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 3553/24883200], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 323/14929920], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 151/12441600], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 6241/71663616], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 51137/309657600], [[[1, 9], [2, 4], [4, 1], [5, 1], [14, 1]], 11/2822400], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 13/1105920], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 17/4423680], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 13/3870720], [[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 19/743178240], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 23633/289013760], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 13/806400], [[[1, 9], [2, 4], [4, 1], [7, 1], [12, 1]], 13/1935360], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 1913/1156055040], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 19/963379200], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 1/1105920], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 60031/309657600], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 6863/98304000], [[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 79/5529600], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 3119/216760320], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1/884736], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 1/115200], [[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 17/2211840], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 31/6451200], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 221/27525120], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 107/7741440], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 2707/1238630400], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 157/11059200], [[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 13/3870720], [[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 23/16934400], [[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1/2167603200], [[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 29/928972800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 4777/955514880], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 12223/206438400], [[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 111157/2786918400], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 13/1474560], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 201919/2123366400], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 2839/106168320], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 4007/26214400], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 193/11059200], [[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 73/13271040], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 127/1310720], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 457/24883200], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 217/44236800], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 17611/331776000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 19969/464486400], [[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 533/49766400], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 481/115605504], [[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 11/9953280], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 5/2654208], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 6469/3715891200], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 104849/2654208000], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 144943/955514880], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 2939/70778880], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 157/12441600], [[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 1/1105920], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 72421/371589120], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 41653/663552000], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 173/13271040], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 2239/116121600], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 39667/382205952], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 173/38707200], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 3899/88473600], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 1158719/12386304000], [[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 1/691200], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 113/5160960], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 1597/3468165120], [[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 1559/1486356480], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 19141/5945425920], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 19/2477260800], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 56381/4954521600], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 253/11059200], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 713/23592960], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 1423/707788800], [[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 1/1382400], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 107587/6193152000], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 16729/2123366400], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 18731/796262400], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 16883/1415577600], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 4733/663552000], [[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 1/13271040], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 11755/169869312], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 153679/15925248000], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 11/6635520], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 420197/74317824000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 393547/9555148800], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 6187/774144000], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 467353/59454259200], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 18667/9909043200], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 3262327/356725555200], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 1/460800], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 1/516096], [[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 1/2211840], [[[1, 9], [3, 1], [4, 2], [7, 1], [12, 1]], 1/1451520], [[[1, 9], [3, 1], [4, 2], [9, 1], [12, 1]], 1/4354560], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 1/387072], [[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 1/331776], [[[1, 9], [3, 2], [4, 2], [5, 1], [12, 1]], 1/1036800], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 1/829440], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/430080], [[[1, 10], [2, 1], [3, 1], [4, 1], [11, 1]], 1/122880], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 1/768000], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 1/1474560], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 29/37158912], [[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 19/79626240], [[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 29/7431782400], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 2]], 29/154828800], [[[1, 10], [2, 1], [3, 1], [5, 1], [15, 1]], 19/103219200], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/1152000], [[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 17/2304000], [[[1, 10], [2, 1], [3, 1], [6, 1], [11, 1]], 1/253440], [[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 11321/1300561920], [[[1, 10], [2, 1], [3, 1], [7, 1], [14, 1]], 1/1290240], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1043/55296000], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 1/13271040], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 13/5806080], [[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 113/61931520], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 163/132710400], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 7/11796480], [[[1, 10], [2, 1], [3, 2], [4, 3], [12, 1]], 1/4976640], [[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 1/1114767360], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 79/1451520], [[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 439/14515200], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 193/13824000], [[[1, 10], [2, 1], [3, 2], [6, 1], [8, 2]], 1/23224320], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 1/829440], [[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 13/11612160], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 1291/69672960], [[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 17/1105920], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 167/99532800], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 1/1990656], [[[1, 10], [2, 1], [3, 3], [4, 2], [12, 1]], 11/39191040], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 11/12441600], [[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 41/8294400], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 101/5806080], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 7/829440], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 11/1244160], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 97/23887872], [[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 1/7464960], [[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 1/4478976], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 13/23887872], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 23/1866240], [[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 1/8957952], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/11197440], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 1/25804800], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 19/3072000], [[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 1/5760000], [[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 1/3456000], [[[1, 10], [2, 1], [4, 1], [6, 1], [11, 1]], 1/3041280], [[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/165150720], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 19/20643840], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 1/1720320], [[[1, 10], [2, 1], [4, 2], [7, 1], [12, 1]], 37/243855360], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/5898240], [[[1, 10], [2, 1], [4, 3], [5, 1], [12, 1]], 1/9676800], [[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 1/30965760], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/1290240], [[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/403200], [[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 1/6912000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 2353/27648000], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 29/6193152], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 79/1146880], [[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 727/37158912], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 10931/530841600], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 509/23592960], [[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 1/1843200], [[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 11/5806080], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 1429/5945425920], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/4147200], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 857/11059200], [[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 6253/232243200], [[[1, 10], [2, 3], [3, 1], [5, 1], [14, 1]], 29/33868800], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 9793/221184000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 1/8257536], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/6193152000], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 17/11612160], [[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 1/2177280], [[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/2601123840], [[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/1114767360], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 1237/162570240], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 1/268800], [[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 37/9953280], [[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 1/604800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 1/3981312], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 13103/139345920], [[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 5443/79626240], [[[1, 10], [2, 3], [3, 2], [4, 1], [14, 1]], 1/2903040], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 797/10616832], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 1487/891813888], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 1699/26542080], [[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 1/518400], [[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 19/4976640], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 79/19906560], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 91/3110400], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 7/921600], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 7447/221184000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 4255/55738368], [[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 2353/92897280], [[[1, 10], [2, 3], [3, 2], [6, 1], [14, 1]], 1/5080320], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 457/278691840], [[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 1/10886400], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 3683/59719680], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 50279/2508226560], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 26833/836075520], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 11/6220800], [[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 1/622080], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 623137/20065812480], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 6409/74649600], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 743/139345920], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 1121/783820800], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 15881/358318080], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 169991/2167603200], [[[1, 10], [2, 3], [4, 1], [5, 1], [14, 1]], 1/5644800], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 43/18432000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 29/61931520], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 1/3870720], [[[1, 10], [2, 3], [4, 1], [6, 2], [18, 1]], 1/2229534720], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 63173/2601123840], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 11/5644800], [[[1, 10], [2, 3], [4, 1], [7, 1], [12, 1]], 23/13547520], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 13/231211008], [[[1, 10], [2, 3], [4, 1], [10, 1], [14, 1]], 1/2890137600], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 2141/51609600], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 6413/1032192000], [[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 13/4838400], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 4321/1950842880], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 29/51609600], [[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 29/30965760], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1/2150400], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 47/82575360], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 19/7741440], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 449/3715891200], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 11/5529600], [[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 23/27095040], [[[1, 10], [2, 3], [6, 1], [7, 1], [10, 1]], 37/304819200], [[[1, 10], [2, 3], [6, 1], [10, 1], [18, 1]], 1/1857945600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 2707/2972712960], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 1715923/26011238400], [[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 322709/11147673600], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 389/216760320], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 22283/232243200], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 2087/371589120], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 48101/495452160], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 263/44236800], [[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 11/2654208], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 1023/36700160], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 2363/348364800], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 733/132710400], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 307757/9289728000], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 9553/289013760], [[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 113/23224320], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 113/185794560], [[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 1/19906560], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 1/1105920], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 509/1857945600], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 503387/7962624000], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 25351/445906944], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 52033/1274019840], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 629/99532800], [[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 5/3981312], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 123679/1114767360], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 11069/159252480], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 89/10321920], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 641/99532800], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 1954853/20065812480], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 19/12902400], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 5423/165150720], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 2990081/74317824000], [[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 7/5529600], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 2809/325140480], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 29/1734082560], [[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 43/1114767360], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 481/594542592], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1/7431782400], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 3599/1238630400], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 1/134400], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 4643/660602880], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 1913/9909043200], [[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 7/11059200], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 20371/4644864000], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 65101/3538944000], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 18689/1783627776], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 62347/4246732800], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 2167/464486400], [[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 1/4423680], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 3098051/59454259200], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 1432183/111476736000], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 13/7077888], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 201911/74317824000], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 141983/2786918400], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 43/6912000], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 10627/2378170368], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 1793/4246732800], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 3262327/356725555200], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 3679/193536000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 307/1114767360], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 2647/433520640], [[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 127/92897280], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 3457/3715891200], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 101/165150720], [[[1, 11], [2, 2], [3, 1], [4, 3], [12, 1]], 37/418037760], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 23/133772083200], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 13777/541900800], [[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 577/88473600], [[[1, 11], [2, 2], [3, 1], [5, 1], [14, 1]], 1/33868800], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 47993/6193152000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 23/2786918400], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 1/17418240], [[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 1/52254720], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 499/487710720], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 1/4838400], [[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 1/2488320], [[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1/14515200], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 11/483840], [[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 8251/743178240], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 2551/265420800], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/42467328], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 293/53084160], [[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 1/8294400], [[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 43/139345920], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 31/159252480], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 53/24883200], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 37/29030400], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 33247/6193152000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 101387/7803371520], [[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 3401/1114767360], [[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 1/17418240], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 359/17418240], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 43/209018880], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 1483/209018880], [[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 11/65318400], [[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 11/39191040], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 15937/20065812480], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 10289/522547200], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 563/1254113280], [[[1, 11], [2, 2], [3, 3], [6, 1], [10, 1]], 1/97977600], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 7913/1254113280], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 350713/26011238400], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 11/41472000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 1/61931520], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 569/212336640], [[[1, 11], [2, 2], [4, 1], [7, 1], [10, 1]], 37/406425600], [[[1, 11], [2, 2], [4, 1], [7, 1], [12, 1]], 37/243855360], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 299/103219200], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 341/1548288000], [[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 11/69672960], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 253/1950842880], [[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 1/51609600], [[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/30965760], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/7741440], [[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 11], [2, 2], [6, 1], [7, 1], [8, 1]], 37/487710720], [[[1, 11], [2, 2], [6, 1], [7, 1], [10, 1]], 1/304819200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 449/8918138880], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 419687/11705057280], [[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 9103/836075520], [[[1, 11], [2, 4], [3, 1], [4, 1], [14, 1]], 37/243855360], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 779/18579456], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 5273/8360755200], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 127451/4459069440], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 67/77414400], [[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 43/39813120], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 7811/2675441664], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 13/11612160], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 2279/928972800], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 407/36864000], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 851/69672960], [[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 101/104509440], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 61/1592524800], [[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 1/6193152], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 427/23887872000], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 258583/5573836800], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 86111/8918138880], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 6037/318504960], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 1/691200], [[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 1/1658880], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 14233/557383680], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 49991/1393459200], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 647/278691840], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 53/58060800], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 846677/20065812480], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 1/4838400], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 2197/185794560], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 648563/74317824000], [[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 1/2419200], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 47/30481920], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/3468165120], [[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/1486356480], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 71/849346560], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 71/235929600], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 361/278691840], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 991/1189085184], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 13/1981808640], [[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 1/4838400], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 25997/55738368000], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 1623443/74317824000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 60313/20065812480], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 21803/1981808640], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 16193/8360755200], [[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 1/4423680], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 25540037/1070176665600], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 388543/37158912000], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 389/371589120], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 552257/668860416000], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 825589/22295347200], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 41/14515200], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 511/339738624], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 2161/29727129600], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 49097/6270566400], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 1/7741440], [[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/23224320], [[[1, 11], [3, 1], [4, 2], [5, 1], [12, 1]], 1/58060800], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 1/5529600], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 121/96768000], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 1/1114767360], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 23/243855360], [[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 17/557383680], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 167/3715891200], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/55050240], [[[1, 12], [2, 1], [3, 1], [4, 3], [12, 1]], 1/418037760], [[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 1/267544166400], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 62761/19508428800], [[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 1879/2786918400], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 2689/6193152000], [[[1, 12], [2, 1], [3, 1], [6, 1], [8, 2]], 1/5573836800], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 11/243855360], [[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 1/69672960], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 13/9289728], [[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 43/82575360], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 277/1857945600], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 1/26542080], [[[1, 12], [2, 1], [3, 2], [4, 2], [12, 1]], 23/3135283200], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 1/14515200], [[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 299/1238630400], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1633/2601123840], [[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 43/371589120], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 421/232243200], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 79/167215104], [[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 1/130636800], [[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 1/78382080], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 67/2229534720], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 233/174182400], [[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 1/156764160], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 17/1254113280], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 18289/26011238400], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/82944000], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 205/2080899072], [[[1, 12], [2, 1], [4, 1], [7, 1], [10, 1]], 1/406425600], [[[1, 12], [2, 1], [4, 1], [7, 1], [12, 1]], 1/243855360], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 1/51609600], [[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 1/176947200], [[[1, 12], [2, 1], [4, 2], [5, 1], [12, 1]], 1/342144000], [[[1, 12], [2, 1], [6, 1], [7, 1], [8, 1]], 1/487710720], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 795751/93640458240], [[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 129449/66886041600], [[[1, 12], [2, 3], [3, 1], [4, 1], [14, 1]], 1/243855360], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 617321/89181388800], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 421/16721510400], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 43387/12740198400], [[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 37/696729600], [[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 29/278691840], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 23/206438400], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 13/174182400], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 263/557383680], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 3739/2064384000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 18899/9364045824], [[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 17/209018880], [[[1, 12], [2, 3], [3, 1], [6, 1], [14, 1]], 1/1219276800], [[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 23/2090188800], [[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 1/2612736000], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 82151/5573836800], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 226099/401316249600], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 1106593/267544166400], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 29/232243200], [[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 1/9289728], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 11437/6270566400], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 93343/11147673600], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 1111/4180377600], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 79/1959552000], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 115109/16052649984], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 1/116121600], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 1638403/817496064000], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 60479/74317824000], [[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 19/348364800], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 1/6967296], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 1/371589120], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 1/103219200], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 331/2737152000], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 19/371589120], [[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 19/696729600], [[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 953/54743040000], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 8833253/668860416000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 113/254803968], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 33713/7644119040], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 169/418037760], [[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 5/55738368], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 5828941/1070176665600], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 100003/22295347200], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 293/1045094400], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 27373/222953472000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 698281/50164531200], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 871/1393459200], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 2899/11890851840], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 3053/445906944000], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 6030541/1337720832000], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 6977/8670412800], [[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 839/5573836800], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 1321/3567255552], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 12109/89181388800], [[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1/696729600], [[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 167/45984153600], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 47/19110297600], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 1/696729600], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 857/21897216000], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 67/516096000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 8063/58525286400], [[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 1/418037760], [[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 1/4180377600], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 206047/111476736000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 31/6270566400], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 7367/19110297600], [[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 23/5225472000], [[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 23/3135283200], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 341/12541132800], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 68921/83607552000], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 139/12541132800], [[[1, 13], [2, 2], [3, 2], [6, 1], [10, 1]], 1/7838208000], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 432479/1203948748800], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 4429/29196288000], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 111283/4087480320000], [[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 1/342144000], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 43/5852528640], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 661/153280512000], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/743178240], [[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 1/684288000], [[[1, 13], [2, 2], [5, 1], [6, 1], [10, 1]], 1/23950080000], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 57867457/14714929152000], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 557/16721510400], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 5457841/5885971660800], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 13/348364800], [[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 13/836075520], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 6479999/11771943321600], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 1432861/1471492915200], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 101/2786918400], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 151/19160064000], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 331081/133772083200], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 59/851558400], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 803/44590694400], [[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 67/229920768000], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 7857359/5350883328000], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 1/309657600], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 563/22295347200], [[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 31/7431782400], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 7661/2452488192000], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 1/2229534720], [[[1, 14], [2, 1], [3, 1], [4, 2], [12, 1]], 79/1793381990400], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 169/153280512000], [[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 61/18579456000], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 239/78033715200], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 8167/111476736000], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 3293/267544166400], [[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 1/10450944000], [[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 1/6270566400], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 17/33443020800], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 4477/167215104000], [[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 1/12541132800], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 11/18811699200], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 3397/817496064000], [[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 1/31933440000], [[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 1/19160064000], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/5852528640], [[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 1/38320128000], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 1179389/2102132736000], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 31/25082265600], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 7563187/76517631590400], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 1/684288000], [[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 19/15328051200], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 1985369/91821157908480], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 69893/668860416000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 1/459841536], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 229/1280987136000], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 210479/1103619686400], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 1891/459841536000], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 109/210213273600], [[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 1/229920768000], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 815611/3210529996800], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 2292827/63764692992000], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/50164531200], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 379297/76517631590400], [[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 79/2988969984000], [[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 79/1793381990400], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 24097/114776447385600], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 379/74317824000], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 149/2869411184640], [[[1, 15], [2, 2], [3, 1], [6, 1], [10, 1]], 1/2241727488000], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 8521/1639663534080], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 31/229920768000], [[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1/367873228800], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 518591/22955289477120], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 7483/9109241856000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 7211/76517631590400], [[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 1/2988969984000], [[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 1/1793381990400], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/535088332800], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 643/7357464576000], [[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 1/3586763980800], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 7/1024789708800], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/459841536000], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 120889/125536739328000], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 252913/16068702633984000], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 47/2008587829248000], [[[2, 3], [4, 2], [6, 1], [12, 1], [26, 1]], 1/3744], [[[2, 3], [4, 2], [10, 1], [12, 1], [22, 1]], 1/5280], [[[2, 3], [4, 4], [6, 1], [10, 1], [30, 1]], 1/184320], [[[2, 3], [4, 4], [6, 1], [14, 1], [18, 1]], 1/774144], [[[2, 3], [6, 1], [8, 2], [10, 1], [30, 1]], 1/3840], [[[2, 3], [6, 1], [8, 2], [14, 1], [18, 1]], 1/16128], [[[2, 5], [4, 1], [6, 1], [8, 1], [26, 1]], 1/19968], [[[2, 5], [4, 1], [8, 1], [10, 1], [22, 1]], 1/28160], [[[2, 5], [4, 2], [6, 1], [10, 1], [22, 1]], 1/42240], [[[2, 5], [4, 2], [6, 1], [12, 1], [22, 1]], 1/6336], [[[2, 5], [4, 2], [6, 2], [10, 1], [30, 1]], 1/11520], [[[2, 5], [4, 2], [6, 2], [10, 2], [12, 1]], 1/86400], [[[2, 5], [4, 2], [6, 2], [14, 1], [18, 1]], 1/48384], [[[2, 5], [4, 2], [6, 3], [12, 1], [14, 1]], 1/108864], [[[2, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 1/15552], [[[2, 5], [4, 4], [6, 1], [10, 1], [14, 1]], 1/1290240], [[[2, 5], [4, 4], [6, 1], [10, 1], [18, 1]], 1/1105920], [[[2, 5], [6, 1], [8, 2], [10, 1], [14, 1]], 1/26880], [[[2, 5], [6, 1], [8, 2], [10, 1], [18, 1]], 1/23040], [[[2, 5], [6, 1], [10, 1], [14, 1], [30, 1]], 1/840], [[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560], [[[2, 7], [4, 1], [6, 1], [8, 1], [22, 1]], 1/33792], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 1/460800], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/580608], [[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/82944], [[[2, 7], [4, 2], [6, 1], [10, 1], [30, 1]], 1/368640], [[[2, 7], [4, 2], [6, 1], [10, 2], [12, 1]], 1/86400], [[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 1/1548288], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/69120], [[[2, 7], [4, 2], [6, 2], [12, 1], [14, 1]], 1/72576], [[[2, 7], [4, 2], [6, 2], [12, 1], [18, 1]], 1/62208], [[[2, 7], [4, 2], [6, 3], [10, 1], [12, 1]], 1/155520], [[[2, 7], [4, 2], [10, 1], [12, 1], [14, 1]], 1/80640], [[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 13/60480], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 1/387072], [[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 1/331776], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 1/829440], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/430080], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 1/516096], [[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 1/2211840], [[[2, 9], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1451520], [[[2, 9], [4, 2], [6, 1], [12, 1], [18, 1]], 1/4354560], [[[2, 9], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1036800], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 1/7741440], [[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/23224320], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5529600], [[[2, 11], [4, 2], [6, 1], [10, 1], [12, 1]], 1/58060800], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 1/309657600], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [26, 1]], 1/3744], [[[1, 1], [2, 2], [4, 2], [10, 1], [12, 1], [22, 1]], 1/5280], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/768], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [30, 1]], 1/184320], [[[1, 1], [2, 2], [4, 4], [6, 1], [14, 1], [18, 1]], 1/774144], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [30, 1]], 1/3840], [[[1, 1], [2, 2], [6, 1], [8, 2], [14, 1], [18, 1]], 1/16128], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [26, 1]], 1/11232], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/3456], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 2]], 1/3686400], [[[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, 5], [6, 2], [12, 1]], 1/442368], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [26, 1]], 1/7488], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [10, 2]], 1/76800], [[[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], [3, 1], [8, 1], [10, 1], [22, 1]], 1/10560], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [26, 1]], 1/6240], [[[1, 1], [2, 4], [4, 1], [5, 1], [10, 1], [22, 1]], 1/8800], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [26, 1]], 19/19968], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [26, 1]], 1/6240], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [30, 1]], 1/2400], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [26, 1]], 1/3744], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 2], [18, 1]], 1/27648], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 1], [22, 1]], 19/28160], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 1/448], [[[1, 1], [2, 4], [4, 1], [8, 2], [10, 1], [14, 1]], 1/35840], [[[1, 1], [2, 4], [4, 1], [10, 1], [12, 1], [22, 1]], 1/5280], [[[1, 1], [2, 4], [4, 2], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [22, 1]], 1/42240], [[[1, 1], [2, 4], [4, 2], [6, 1], [12, 1], [22, 1]], 1/3168], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [30, 1]], 1/11520], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 2], [12, 1]], 1/86400], [[[1, 1], [2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/48384], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [14, 1]], 1/108864], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 1/15552], [[[1, 1], [2, 4], [4, 2], [7, 1], [12, 1], [14, 1]], 1/2688], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 1/6144], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [30, 1]], 7/46080], [[[1, 1], [2, 4], [4, 3], [6, 1], [14, 1], [18, 1]], 1/27648], [[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [18, 1]], 1/10368], [[[1, 1], [2, 4], [4, 3], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 1], [2, 4], [4, 3], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 1], [2, 4], [4, 4], [5, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [18, 1]], 1/552960], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [10, 1]], 1/1474560], [[[1, 1], [2, 4], [5, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 4], [6, 1], [8, 1], [10, 1], [22, 1]], 1/10560], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [18, 1]], 1/11520], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [30, 1]], 1/840], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 4], [6, 2], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/216000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/56448], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [26, 1]], 5/89856], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [22, 1]], 1/19008], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/259200], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 1/326592], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/46656], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 1], [22, 1]], 1/126720], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/230400], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/96768], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/41472], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 1/93312], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [14, 1]], 1/3096576], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 1/2211840], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/3538944], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [22, 1]], 1/12672], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [14, 1]], 1/64512], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [22, 1]], 1/10560], [[[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]], 1/172800], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 5/12096], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [14, 1]], 1/217728], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [18, 1]], 1/31104], [[[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], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 2]], 1/144000], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [14, 1]], 1/181440], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [18, 1]], 1/25920], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/25600], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [22, 1]], 5/8448], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [18, 1]], 1/55296], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [22, 1]], 17/42240], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 1/14400], [[[1, 1], [2, 6], [4, 1], [6, 1], [12, 1], [22, 1]], 1/6336], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 17/153600], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [30, 1]], 1/2304], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 1/86400], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 13/48384], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 19/580608], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 19/82944], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/181440], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 1/108864], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 1/15552], [[[1, 1], [2, 6], [4, 1], [7, 1], [8, 1], [14, 1]], 1/14336], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [10, 1]], 1/138240], [[[1, 1], [2, 6], [4, 2], [6, 1], [7, 1], [14, 1]], 1/21504], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [30, 1]], 13/368640], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 1/21600], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 13/1548288], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 1/55296], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 1/34560], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [14, 1]], 1/18144], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [18, 1]], 7/62208], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 1/77760], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/71680], [[[1, 1], [2, 6], [4, 2], [10, 1], [12, 1], [14, 1]], 1/11520], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/32256], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 7/276480], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [10, 1]], 1/2211840], [[[1, 1], [2, 6], [5, 1], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [30, 1]], 1/23040], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/96768], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 31/60480], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [22, 1]], 7/760320], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 1/230400], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 13/2612736], [[[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]], 1/497664], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/466560], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 1/41472], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/7372800], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 17/3096576], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 1/1327104], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [12, 1]], 1/248832], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 5/884736], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/44236800], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 1/172800], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 2], [10, 1]], 1/921600], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [14, 1]], 1/145152], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [18, 1]], 1/124416], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 23/120960], [[[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]], 1/311040], [[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [14, 1]], 1/161280], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 1/144000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [18, 1]], 1/103680], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 1/259200], [[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 7/76800], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 1/368640], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 1/368640], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [30, 1]], 11/921600], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 1/86400], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 331/3870720], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 13/96768], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 25/331776], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 17/96768], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 1/7680], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 1/72576], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [18, 1]], 1/62208], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 5/82944], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 1/155520], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 13/86016], [[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 11/1474560], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 1], [12, 1]], 1/691200], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 1/86016], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 1/110592], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 41/2580480], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 7/1105920], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [14, 1]], 1/90720], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [18, 1]], 11/2177280], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 1/184320], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 11/1036800], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 17/2949120], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/276480], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 1], [12, 1]], 1/138240], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/138240], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1728000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1244160], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 13/17418240], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 1/1327104], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 11/18662400], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 1/276480], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/6193152], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 13/22118400], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [12, 1]], 1/8709120], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/7077888], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [14, 1]], 1/2903040], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [18, 1]], 1/8709120], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 37/2419200], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 1/2073600], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2419200], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [18, 1]], 1/7257600], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1728000], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3686400], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 17/1548288], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 1/580608], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 43/1382400], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 269/38707200], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1451520], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [18, 1]], 1/4354560], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 43/2764800], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1036800], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2457600], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 1/737280], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 29/58060800], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 11/365783040], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 1/104509440], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 1/46448640], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 1/21772800], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [12, 1]], 19/247726080], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/88473600], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [12, 1]], 1/2090188800], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 1/116121600], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 1/96768000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 223/353894400], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 1/58060800], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/11147673600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 169/229920768000], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [12, 1]], 1/5945425920], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 1], [13, 1]], 1/3744], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [15, 1]], 1/184320], [[[1, 2], [2, 1], [3, 1], [4, 4], [7, 1], [9, 1]], 1/774144], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [15, 1]], 1/3840], [[[1, 2], [2, 1], [3, 1], [7, 1], [8, 2], [9, 1]], 1/16128], [[[1, 2], [2, 1], [4, 2], [5, 1], [11, 1], [12, 1]], 1/5280], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/768], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [26, 1]], 1/11232], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [13, 1]], 1/19968], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/1536], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [13, 1]], 1/29952], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [26, 1]], 1/29952], [[[1, 2], [2, 3], [3, 1], [4, 2], [10, 1], [22, 1]], 1/42240], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 1/3456], [[[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]], 1/2304], [[[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, 5], [6, 2], [12, 1]], 1/442368], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 1/294912], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [26, 1]], 1/4680], [[[1, 2], [2, 3], [3, 1], [5, 1], [10, 1], [22, 1]], 1/6600], [[[1, 2], [2, 3], [3, 1], [5, 1], [14, 1], [15, 1]], 1/840], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [26, 1]], 1/7488], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [10, 2]], 1/76800], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [13, 1]], 1/4680], [[[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], [9, 1], [14, 1]], 1/3528], [[[1, 2], [2, 3], [3, 1], [8, 1], [10, 1], [22, 1]], 1/10560], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [26, 1]], 1/6240], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [11, 1]], 1/28160], [[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [22, 1]], 1/8800], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [26, 1]], 19/19968], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [26, 1]], 1/6240], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [30, 1]], 1/2400], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [26, 1]], 1/3744], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 2], [18, 1]], 1/27648], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [22, 1]], 19/28160], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 1/448], [[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 1/35840], [[[1, 2], [2, 3], [4, 1], [10, 1], [12, 1], [22, 1]], 1/5280], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [11, 1]], 1/42240], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 2], [2, 3], [4, 2], [6, 1], [12, 1], [22, 1]], 1/6336], [[[1, 2], [2, 3], [4, 2], [7, 1], [12, 1], [14, 1]], 1/896], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1280], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/768], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 1/6144], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [30, 1]], 7/46080], [[[1, 2], [2, 3], [4, 3], [6, 1], [14, 1], [18, 1]], 1/27648], [[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [18, 1]], 1/10368], [[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [4, 3], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [18, 1]], 1/1105920], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 1], [11, 1]], 1/6600], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [30, 1]], 1/840], [[[1, 2], [2, 3], [6, 1], [7, 1], [14, 1], [18, 1]], 1/3528], [[[1, 2], [2, 3], [6, 1], [8, 1], [10, 1], [22, 1]], 1/10560], [[[1, 2], [2, 3], [6, 1], [8, 2], [10, 1], [18, 1]], 1/23040], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [30, 1]], 1/2880], [[[1, 2], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 1/24576], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 11/432000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [26, 1]], 23/89856], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [22, 1]], 1/9504], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/110592], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/259200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 1/326592], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 1/46656], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [22, 1]], 1/8448], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [14, 1]], 1/10752], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [22, 1]], 7/126720], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [15, 1]], 1/368640], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [22, 1]], 5/50688], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 1/172800], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 5/435456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 1/15552], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 1/93312], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [9, 1]], 1/1548288], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 1/18432], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 7/921600], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 7/27648], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/55296], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 7/165888], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 5/82944], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 1/774144], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 13/110592], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/1179648], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 7/3538944], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [22, 1]], 1/7920], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 31/108000], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [15, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [14, 1]], 1/136080], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [18, 1]], 1/19440], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [15, 1]], 1/14400], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [22, 1]], 1/6336], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [14, 1]], 1/16128], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [22, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [9, 1]], 1/72576], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 1/43200], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [30, 1]], 11/8640], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 23/36288], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 5/108864], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/7776], [[[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], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 5], [3, 1], [7, 1], [9, 1], [10, 1]], 1/60480], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/86400], [[[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, 2], [6, 3], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [10, 2]], 1/57600], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [30, 1]], 1/17280], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 1/24192], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [18, 1]], 1/10368], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [22, 1]], 1/5280], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 1/24000], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 1/181440], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [18, 1]], 1/25920], [[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [14, 1]], 1/4480], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 19/25600], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 1/20480], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 7/5632], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/7168], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1/13824], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [22, 1]], 23/42240], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/7200], [[[1, 2], [2, 5], [4, 1], [6, 1], [12, 1], [22, 1]], 1/3168], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 17/153600], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/3072], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/18432], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [30, 1]], 7/11520], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 1/86400], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 5/16128], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 19/580608], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 23/82944], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/181440], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 1/108864], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 1/15552], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 3/2048], [[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/4480], [[[1, 2], [2, 5], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2688], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 7/7680], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [18, 1]], 1/17280], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/138240], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [14, 1]], 1/8960], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/22400], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 1/7168], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 5/6144], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 11/24576], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [30, 1]], 37/61440], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 37/258048], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 19/55296], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 1/24192], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 5/20736], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/155520], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 27/71680], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 7/552960], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/43008], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/32256], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 7/138240], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [14, 1]], 1/8064], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [18, 1]], 1/5184], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/552960], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 7/368640], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [10, 1]], 1/11520], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [30, 1]], 1/4800], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/20160], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 5/4704], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [30, 1]], 7/23040], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2880], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160], [[[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]], 1/155520], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 1/115200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [22, 1]], 19/95040], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 1/36864], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1/6912], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 149/1306368], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 7/31104], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 29/746496], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 7/233280], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 31/373248], [[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [14, 1]], 1/64512], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/49152], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 263/22118400], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 439/9289728], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 127/3981312], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 11/663552], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 31/1244160], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 61/248832], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/129024], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/215040], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/110592], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/73728], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 13/552960], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 187/2654208], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 11/44236800], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 17/1769472], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/6750], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [15, 1]], 1/691200], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [14, 1]], 1/90720], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [18, 1]], 1/77760], [[[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]], 1/100800], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [9, 1]], 1/2903040], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/5376], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 7/276480], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 11/921600], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [30, 1]], 1/138240], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 1/580608], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 31/580608], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 17/248832], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 23/40320], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 7/17280], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 11/311040], [[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 1/23040], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/691200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 5/290304], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/124416], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/110592], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/51840], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 1/6912], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 5/165888], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 1/48384], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 19/64000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 1/30240], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [18, 1]], 7/103680], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 91/2073600], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 37/134400], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/28800], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 5/21504], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 29/76800], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 7/122880], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 17/368640], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [30, 1]], 151/921600], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 1/21600], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 53/143360], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 11/27648], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 73/165888], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 139/483840], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 1/18144], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 7/62208], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 29/207360], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 1/77760], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 23/30720], [[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 1/11520], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [18, 1]], 1/34560], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 121/2457600], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 31/614400], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 23/43008], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 11/55296], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 37/143360], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 299/2211840], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 5/48384], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [18, 1]], 1/12960], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 49/184320], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 11/207360], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 1/34560], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 89/2949120], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 11/276480], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 7/138240], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 43/100800], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 1/28800], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 1/30720], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 1/11520], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 1/414720], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 1/491520], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1681/55296000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 217/1990656], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 527/13934592], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 565/11943936], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 409/4665600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 109/2488320], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 1/645120], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 13/1935360], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 73/11612160], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 71/34836480], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 1/138240], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 361/33177600], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 4321/139345920], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/552960], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2359296], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 43/44236800], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 349/106168320], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [14, 1]], 1/1814400], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [18, 1]], 1/5443200], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 631/20736000], [[[1, 2], [2, 9], [3, 1], [5, 1], [8, 1], [10, 1]], 1/1382400], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 47/5806080], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [18, 1]], 11/4354560], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 253/1612800], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 1/829440], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 43/4147200], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/580608], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 1/884736], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 7/2073600], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 1/55296], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/663552], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 1/691200], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 1/151200], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [18, 1]], 11/3628800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 3007/55296000], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 17/1843200], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 1], [12, 1]], 1/691200], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 491/3870720], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 593/23224320], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 2461/9676800], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 1559/19353600], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 1/90720], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [18, 1]], 11/2177280], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 731/5529600], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 11/1036800], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 1/460800], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/92160], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 637/7372800], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/276480], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 47/4147200], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 1/230400], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 1/14515200], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 1/16588800], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 2327/585252864], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 1/3732480], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 167/55738368], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 1451/139345920], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 709/318504960], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 1/19353600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 17/61931520], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 1111/1857945600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 43187/66886041600], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 6863/9289728000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/2322432], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/8294400], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 239/96768000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 29857/2477260800], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 29/58060800], [[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 1/3483648000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 6311/267544166400], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 693317/3678732288000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 2963/267544166400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [13, 1]], 1/6240], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [15, 1]], 1/2400], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [13, 1]], 19/19968], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [13, 1]], 1/6240], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [13, 1]], 1/3744], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [13, 1]], 1/29952], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [26, 1]], 1/29952], [[[1, 3], [2, 2], [3, 1], [4, 2], [10, 1], [22, 1]], 1/42240], [[[1, 3], [2, 2], [3, 1], [4, 2], [11, 1], [12, 1]], 1/6336], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [15, 1]], 7/46080], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [9, 1]], 1/27648], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 1/6144], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [9, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 2], [6, 1]], 1/3686400], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 1/1474560], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/294912], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [26, 1]], 1/4680], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [11, 1]], 1/10560], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 2], [9, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [5, 1], [10, 1], [22, 1]], 1/6600], [[[1, 3], [2, 2], [3, 1], [5, 1], [14, 1], [15, 1]], 1/840], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 2]], 1/76800], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [13, 1]], 1/7488], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [13, 1]], 1/4680], [[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [14, 1]], 1/3528], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [13, 1]], 1/11232], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [9, 1]], 1/27648], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 1/3456], [[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [12, 1]], 1/10368], [[[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, 5], [6, 1], [12, 1]], 1/442368], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [15, 1]], 1/2880], [[[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], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 1/35840], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [11, 1]], 19/28160], [[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [11, 1]], 1/8800], [[[1, 3], [2, 2], [4, 1], [5, 1], [11, 1], [12, 1]], 1/5280], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [26, 1]], 1/19968], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/1536], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 1/448], [[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [22, 1]], 1/28160], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [11, 1]], 1/42240], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 3], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 1/896], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1280], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/768], [[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [11, 1]], 1/10560], [[[1, 3], [2, 2], [5, 1], [6, 1], [10, 1], [11, 1]], 1/6600], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [30, 1]], 1/840], [[[1, 3], [2, 2], [6, 1], [7, 1], [14, 1], [18, 1]], 1/3528], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [11, 1]], 1/126720], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [22, 1]], 1/5280], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 1/8192], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/48000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [13, 1]], 5/29952], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/56448], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [26, 1]], 11/29952], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 1/19008], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/110592], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [11, 1]], 1/33792], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [22, 1]], 1/8448], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [22, 1]], 7/42240], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/61440], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/38400], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [15, 1]], 13/368640], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/230400], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [11, 1]], 1/50688], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [22, 1]], 1/8448], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/691200], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 1/870912], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 5/124416], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 13/1548288], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 1/21504], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 7/18432], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 7/921600], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/55296], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/41472], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 1/43008], [[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 1/107520], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 1/1032192], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 1/2211840], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 13/110592], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1/393216], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 1/1474560], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 29/294912], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [11, 1]], 1/10560], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [22, 1]], 1/3960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 31/108000], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [15, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [14, 1]], 1/136080], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/19440], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [15, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [5, 1], [9, 1], [14, 1]], 1/5040], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [15, 1]], 7/14400], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [14, 1]], 1/16800], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/13500], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [10, 2]], 1/16800], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [22, 1]], 1/12672], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [11, 1]], 1/7920], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [22, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 1/7056], [[[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]], 1/57600], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 11/8640], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 11/36288], [[[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], [7, 1], [8, 1], [9, 1]], 1/96768], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [14, 1]], 1/1792], [[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [15, 1]], 1/34560], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/36864], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/86400], [[[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], [7, 1], [9, 1]], 1/145152], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/230400], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 1/96768], [[[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]], 1/96768], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/6912], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 1/55296], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 1/82944], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 1/3456], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/13500], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2880], [[[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], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 1/12096], [[[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]], 1/57600], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [14, 1]], 1/3024], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [30, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/24192], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 1/15120], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 1/24192], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 1/10368], [[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/6480], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [11, 1]], 1/8448], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/28800], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 5/6272], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 19/25600], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/2560], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 3/20480], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 1/4800], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 1/25600], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 1/1408], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 5/43008], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/18432], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [11, 1]], 1/5280], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 19/126720], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/14400], [[[1, 3], [2, 4], [4, 1], [6, 1], [12, 1], [22, 1]], 1/6336], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [18, 1]], 1/6048], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/460800], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 1/3072], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 1/23040], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 7/34560], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/20736], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/580608], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 5/82944], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 235/50176], [[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 5/6272], [[[1, 3], [2, 4], [4, 1], [7, 1], [12, 1], [14, 1]], 1/896], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 3/2560], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [18, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 1/71680], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/8960], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/22400], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 1/38400], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/7168], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 7/6144], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 11/24576], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [30, 1]], 37/61440], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 37/258048], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 19/55296], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 1/6912], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 27/71680], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 1/5376], [[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 1/8960], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [7, 1]], 1/107520], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 7/552960], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 1/2560], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 7/276480], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 1/6912], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/737280], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 7/368640], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [30, 1]], 1/1600], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/6720], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1792], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 5/4704], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [18, 1]], 1/2520], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [30, 1]], 7/23040], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 1/20160], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 7/933120], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 47/576000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [15, 1]], 11/921600], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 13/19008], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 7/55296], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 11/57600], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 59/435456], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 7/15552], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 19/373248], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 13/466560], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 31/373248], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [9, 1]], 11/3870720], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 1/7168], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/38400], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 1/73728], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [9, 1]], 1/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/7372800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 169/294912], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 233/2211840], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 7/27648], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 629/4644864], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 545/1990656], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 73/663552], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 41/1244160], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 35/82944], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 5/64512], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/30720], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 1/2949120], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 23/387072], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 1/165888], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/12288], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 13/276480], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 893/1327104], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/184320], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 7/294912], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 173/8847360], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 185/1769472], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 581/864000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [15, 1]], 7/230400], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [9, 1]], 1/103680], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 5/72576], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 23/155520], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 79/388800], [[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 1/86400], [[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 1/14400], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 43/864000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 1/138240], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 127/112896], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/30720], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/36864], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 13/138240], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 13/580608], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/7168], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 13/82944], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 11/24192], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 31/51840], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 19/311040], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/17920], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/34560], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 1/18432], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 7/691200], [[[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]], 59/290304], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 1/15552], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 61/331776], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 13/103680], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 25/41472], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/64512], [[[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]], 1/161280], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 1/4423680], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 1/3096576], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 1/1327104], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 1/193536], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 11/221184], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 1/27648], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 71/165888], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 7/294912], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 1/30240], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 119/518400], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/120960], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 1/12096], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/51840], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 1/25920], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 1/41472], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 377/576000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/40320], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 113/2073600], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/134400], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/17920], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 17/22400], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 45/50176], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [18, 1]], 1/12096], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 77/230400], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4096], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 11/73728], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [30, 1]], 23/55296], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 403/1161216], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 5/64512], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 31/96768], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 109/165888], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 59/483840], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 11/25920], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 1/24192], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 1/6912], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 37/414720], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 1/155520], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/10752], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 59/71680], [[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/8960], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [18, 1]], 1/8640], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 329/3686400], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 379/614400], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 1/4608], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 5/6144], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 19/27648], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 131/430080], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 35/110592], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 1/6048], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 5/20736], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 59/184320], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 311/2764800], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 49/163840], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 11/55296], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 13/33600], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 1/7200], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 13/92160], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 7/69120], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 71/3732480], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 1/403200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 67/2211840], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 3223/18432000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 11173/23224320], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 2599/9953280], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1499/5971968], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 215/746496], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 163/995328], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 7/368640], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 1/28672], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/69120], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 31/5529600], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 13499/92897280], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 361/17418240], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 139/552960], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 12613/66355200], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 389/1327104], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 13/552960], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 247/11796480], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 743/44236800], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 3203/53084160], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [9, 1]], 1/4147200], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 11/518400], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [18, 1]], 11/2721600], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 9727/41472000], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 1/86400], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [10, 1]], 1/201600], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 1/21504], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 1/69120], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 85/193536], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 7/414720], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 59/1036800], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 1/276480], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 1/4976640], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 13/580608], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 1/248832], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 259/2654208], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 359/4147200], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 17/92160], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/276480], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/221184], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 11/2764800], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 13/663552], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 301/41472000], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 11/691200], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 1/331776], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6451200], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/23040], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 11/345600], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 2767/11059200], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 427/3686400], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 17/2580480], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1499/3870720], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 5/36288], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 1/2160], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 4291/16588800], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 1/24192], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 1/34560], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 217/691200], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 1/41472], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 11/460800], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 1339/7372800], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 3737/7372800], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 11/276480], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 17/276480], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 11/230400], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 73/43545600], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 13/495452160], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 409/290304000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 9059/162570240], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 31/9953280], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 3133/69672960], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 39469/348364800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 2285/111476736], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 41/25804800], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1/2764800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 653/41287680], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1403/74317824], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 565/42467328], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 143671/9289728000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 17/3317760], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1658880], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 11/4147200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 281/743178240], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 1/921600], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 2341/55296000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 47893/619315200], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 17/4147200], [[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 79/5225472000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 212861/267544166400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1410263/334430208000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 7891/33443020800], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/1440], [[[1, 3], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/6048], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [13, 1]], 1/6240], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [15, 1]], 1/2400], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [13, 1]], 19/19968], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [13, 1]], 1/6240], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 1], [13, 1]], 1/3744], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [11, 1]], 1/42240], [[[1, 4], [2, 1], [3, 1], [4, 2], [11, 1], [12, 1]], 1/3168], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [15, 1]], 7/46080], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [9, 1]], 1/27648], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/6144], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [7, 1]], 1/1290240], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [9, 1]], 1/552960], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 2], [6, 1]], 1/3686400], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 1/1474560], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [8, 2]], 1/26880], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [15, 1]], 1/840], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 1], [11, 1]], 1/10560], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [9, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 2]], 1/76800], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [13, 1]], 1/7488], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [13, 1]], 1/11232], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 2], [9, 1]], 1/27648], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [15, 1]], 1/11520], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [12, 1]], 1/86400], [[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/48384], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/3456], [[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [12, 1]], 1/10368], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [10, 1]], 1/2211840], [[[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, 5], [6, 1], [12, 1]], 1/442368], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [15, 1]], 1/2880], [[[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, 2], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [12, 1]], 1/108864], [[[1, 4], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 1/15552], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 2]], 1/35840], [[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 19/28160], [[[1, 4], [2, 1], [4, 1], [5, 1], [10, 1], [11, 1]], 1/8800], [[[1, 4], [2, 1], [4, 1], [5, 1], [11, 1], [12, 1]], 1/5280], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 1/448], [[[1, 4], [2, 1], [4, 2], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 4], [2, 1], [4, 2], [7, 1], [12, 1], [14, 1]], 1/2688], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 4], [2, 1], [5, 1], [6, 1], [8, 1], [11, 1]], 1/10560], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [11, 1]], 19/126720], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [22, 1]], 1/5280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/14400], [[[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]], 1/56448], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 1/8192], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [13, 1]], 11/29952], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [26, 1]], 5/29952], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 5/43008], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [11, 1]], 1/1408], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [11, 1]], 1/10560], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [22, 1]], 1/8448], [[[1, 4], [2, 3], [3, 1], [4, 1], [11, 1], [12, 1]], 1/6336], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 11/24576], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 1/38400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [15, 1]], 37/61440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/230400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/19200], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [11, 1]], 1/8448], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 1/50688], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 37/258048], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/7168], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 7/6144], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 7/276480], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 7/921600], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/82944], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 1/16128], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 1/43008], [[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [12, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 1/107520], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 7/368640], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/737280], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/46080], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 1/1032192], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 1/1474560], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1/393216], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 29/294912], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [11, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [22, 1]], 1/7920], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [15, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 1/20160], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 5/4704], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [15, 1]], 7/23040], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [14, 1]], 1/2520], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [15, 1]], 1/1600], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [14, 1]], 1/16800], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 1/57600], [[[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]], 1/9600], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 1/21504], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 2]], 1/16800], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [11, 1]], 1/12672], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [11, 1]], 1/3960], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 1/10560], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/24192], [[[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], [10, 1], [30, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/12096], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 1/1792], [[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/6720], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [15, 1]], 7/34560], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/86400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 1/460800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 1/28800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [11, 1]], 1/19008], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/36864], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/20736], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 1/3072], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/691200], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/230400], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/96768], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 1/41472], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 1/96768], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/41472], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 19/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 1/6912], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 7/552960], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/55296], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 1/3456], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 1/2211840], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 13/110592], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/13500], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 11/8640], [[[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], [8, 1], [9, 1]], 1/17280], [[[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]], 1/57600], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 31/108000], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 11/36288], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/7056], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [14, 1]], 1/3024], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [30, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/24192], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/24192], [[[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]], 1/10368], [[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 1/6480], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 1/110592], [[[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], [7, 1], [8, 1]], 1/580608], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 5/82944], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 1/870912], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 5/124416], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/41472], [[[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]], 1/136080], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/19440], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [11, 1]], 7/42240], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 5/6272], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/25600], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 3/2560], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 3/20480], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 19/25600], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 1/4800], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/10752], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [11, 1]], 1/8448], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [22, 1]], 1/33792], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [11, 1]], 1/5280], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [22, 1]], 1/126720], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [18, 1]], 1/6048], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 1/34560], [[[1, 4], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/145152], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 235/50176], [[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 5/6272], [[[1, 4], [2, 3], [4, 1], [7, 1], [12, 1], [14, 1]], 1/896], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2560], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 27/71680], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/22400], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 1/8960], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/38400], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/21504], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 7/18432], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [30, 1]], 13/368640], [[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 13/1548288], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/55296], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/71680], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 1/107520], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/7680], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 1/2560], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [30, 1]], 7/14400], [[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/8640], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1792], [[[1, 4], [2, 3], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 4], [2, 3], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [30, 1]], 1/23040], [[[1, 4], [2, 3], [6, 1], [8, 1], [14, 1], [18, 1]], 1/96768], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/933120], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/184320], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 43/192000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [15, 1]], 151/921600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/46080], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 13/115200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 1/4608], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 1/1408], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 23/110592], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/19200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/24192], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 13/435456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 7/497664], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/41472], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 151/3870720], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 25/37632], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/76800], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 13/73728], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [14, 1]], 1/4032], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 1/286720], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 7/1105920], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/13440], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 13/7372800], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 461/294912], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 39/409600], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 1/64512], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 151/1548288], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 211/663552], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 65/663552], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 19/1244160], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 19/82944], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 5/258048], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/36864], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1/2688], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 17/215040], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 1/92160], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 5/589824], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/61440], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/129024], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 1/55296], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 5/86016], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 1/41472], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 19/221184], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 13/552960], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 335/442368], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/46080], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/368640], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 37/294912], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 13/589824], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 163/294912], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 257/288000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [15, 1]], 1/7680], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/120960], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/25920], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 13/120960], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 77/388800], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/100800], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [9, 1]], 1/138240], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 1/10800], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 13/33600], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/460800], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 361/864000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 1/32256], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 11/4032], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 7/460800], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 1/61440], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 13/69120], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 13/290304], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/3360], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 19/193536], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 1/9216], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/13440], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 17/51840], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/20736], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 1/207360], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 1/691200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6144], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 7/230400], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 5/96768], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 1/6912], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 23/96768], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 1/5184], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 73/331776], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 11/103680], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/1536], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 5/331776], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 1/9216], [[[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]], 1/53760], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 7/138240], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/276480], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 13/4423680], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 13/3096576], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 101/1327104], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1/48384], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 3/8192], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 7/4608], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/55296], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/92160], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 17/98304], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/4320], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 139/172800], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/276480], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/193536], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/40320], [[[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]], 1/34560], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1/414720], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 1/290304], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 7/124416], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/24192], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 5/110592], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1/51840], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 1/4608], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/221184], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/20736], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 11/23040], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/53760], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 1/8640], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 7/414720], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 1/86016], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 37/134400], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2560], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 17/22400], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 49/192000], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 17/14112], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [18, 1]], 1/3024], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 7/153600], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 13/36864], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 41/368640], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [30, 1]], 23/55296], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 115/1161216], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 11/64512], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 1/18432], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 101/331776], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/96768], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 1/10368], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 1/20736], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 7/829440], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 23/53760], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 101/430080], [[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 11/215040], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 1/11520], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 37/737280], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 153/102400], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 23/46080], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 13/43008], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 5/16128], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 29/55296], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 11/172032], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 427/2211840], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 1/13824], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 7/41472], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 7/110592], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/12288], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 23/230400], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 139/491520], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/6144], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/23040], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 43/100800], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/14400], [[[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]], 31/276480], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 167/3732480], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 11/5529600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 11/403200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 11/18432000], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 53/442368], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 311/1105920], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 1/21504], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/82944], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 449/774144], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 151/248832], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 827/1990656], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 107/414720], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/4096], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 1/161280], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 11/172032], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1/69120], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 121/1290240], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 37/552960], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 91/7372800], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 1399/22118400], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 1/2064384], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 365/774144], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 73/829440], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 97/110592], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 1309/3317760], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 59/82944], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 1/9216], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 49/2949120], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 11531/35389440], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 119/884736], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 7027/17694720], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/4838400], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 11/2073600], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 13/120960], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 1/43200], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 4981/8294400], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 1/23040], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 3/44800], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 1/10752], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 1/41472], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 211/483840], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 13/276480], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 13/138240], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 37/829440], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 131/11059200], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 11/7741440], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 5/663552], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1/10752], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 1/41472], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 157/294912], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 277/829440], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 553/829440], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 7/276480], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/4423680], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 7/110592], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 43/1382400], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 251/2211840], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 917/13824000], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/27648], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1/110592], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/103680], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 1/36864], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/307200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 1/8640], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/18432], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 71/204800], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1777/3686400], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11520], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 197/2580480], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 1/11520], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 199/516096], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 853/3317760], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 149/483840], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 259/829440], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 1/24192], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 1/20736], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 271/1105920], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 989/1843200], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 401/552960], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 5/55296], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 41/552960], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/6912], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 929/49766400], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 1913/2477260800], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 5219/387072000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 1/860160], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 1/3317760], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 10777/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 89/4354560], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 19987/92897280], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 11689/33177600], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 241/2949120], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 19/1382400], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 29/4423680], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 949/5898240], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 37591/265420800], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1591/17694720], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 33527/331776000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 61/2764800], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1/2073600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 11/1105920], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 317/16588800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 5377/743178240], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 53/3686400], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 547/2764800], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 1919/9830400], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 29819/66886041600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 825443/89181388800], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 12043/371589120], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 23/10616832], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [11, 1]], 23/42240], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 1/7200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 11/432000], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 1/24576], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [13, 1]], 23/89856], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/7168], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [11, 1]], 7/5632], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1]], 1/5280], [[[1, 5], [2, 2], [3, 1], [4, 1], [11, 1], [12, 1]], 1/3168], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 11/24576], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [15, 1]], 37/61440], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/19200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/38400], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 1/28800], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [11, 1]], 5/50688], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 37/258048], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 1/7168], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 5/6144], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/32256], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 7/138240], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 7/921600], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 7/27648], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [12, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [12, 1]], 1/5184], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 7/368640], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/552960], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 1/774144], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 1/1474560], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/1179648], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 7/3538944], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [15, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 5/4704], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [15, 1]], 7/23040], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [14, 1]], 1/5040], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [15, 1]], 1/4800], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800], [[[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]], 1/9600], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/16128], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1]], 1/6336], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [11, 1]], 1/7920], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/72576], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 7/11520], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/86400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 17/153600], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/24000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 1/86400], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 1/9504], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 5/16128], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/3072], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 1/13824], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 1/172800], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 1/24192], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 19/55296], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 1/17280], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 5/20736], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 7/552960], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 1/34560], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/55296], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 7/165888], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 1/13824], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1105920], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 13/110592], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/23040], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 11/8640], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/10080], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/43200], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 31/108000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 23/36288], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [30, 1]], 1/17280], [[[1, 5], [2, 2], [3, 2], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 1/24192], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 1/10368], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/181440], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/8640], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/259200], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/110592], [[[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]], 19/580608], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 1/181440], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 1/108864], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 23/82944], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 1/25920], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/15552], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/138240], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1/155520], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 5/435456], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/15552], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 5/82944], [[[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], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 5/108864], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [10, 1]], 1/136080], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/7776], [[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [10, 1]], 1/19440], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 1/326592], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 1/46656], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/93312], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [11, 1]], 7/126720], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/4480], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 7/7680], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 1/20480], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 19/25600], [[[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]], 1/10752], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [11, 1]], 1/8448], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 3/2048], [[[1, 5], [2, 2], [4, 1], [7, 1], [10, 1], [14, 1]], 1/4480], [[[1, 5], [2, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2688], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 27/71680], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/22400], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/5376], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [30, 1]], 1/368640], [[[1, 5], [2, 2], [4, 2], [6, 1], [14, 1], [18, 1]], 1/1548288], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 1/5376], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 1/5760], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 1/7680], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [30, 1]], 1/14400], [[[1, 5], [2, 2], [5, 1], [6, 1], [14, 1], [18, 1]], 1/60480], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 5], [2, 2], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 41/368640], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 49/192000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [15, 1]], 23/55296], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 7/230400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 7/153600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 11/23040], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 1/1408], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 1/4608], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6144], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/691200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/24192], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/290304], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 7/124416], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 115/1161216], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 17/14112], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 13/36864], [[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [14, 1]], 1/3024], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 11/172032], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 427/2211840], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/13440], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 39/409600], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 461/294912], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 13/7372800], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/48384], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 13/3096576], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 101/1327104], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/221184], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/20736], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 5/16128], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 29/55296], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 13/43008], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 7/41472], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 11/215040], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/92160], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 139/491520], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 23/230400], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/23040], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 5/86016], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 1/41472], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/129024], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 17/98304], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/12288], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/6144], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 13/589824], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 37/294912], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/368640], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 163/294912], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 1/61440], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 361/864000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [15, 1]], 13/69120], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/40320], [[[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]], 1/17280], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/14400], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[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]], 43/100800], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 7/460800], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 257/288000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 13/290304], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 11/4032], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/460800], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 1/32256], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/4320], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/193536], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 1/82944], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/51840], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/96768], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 1/10368], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [14, 1]], 1/20160], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/19200], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 23/110592], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/46080], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 23/96768], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/5184], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 5/96768], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 5/110592], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/4608], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 1/18432], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 101/331776], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 11/64512], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 1/20736], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/53760], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/11520], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 7/110592], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 37/737280], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 151/1548288], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 211/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 1/64512], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 3/8192], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 7/138240], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 7/4608], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 13/552960], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 19/221184], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/92160], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 335/442368], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/13440], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 17/51840], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/3360], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 139/172800], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 31/276480], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 19/193536], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 13/120960], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 1/9216], [[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 1/3456], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/25920], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 11/103680], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 7/829440], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 7/414720], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 13/435456], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 1/3456], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/24192], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 73/331776], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/20736], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 1/1536], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 19/1244160], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 65/663552], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 19/82944], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 77/388800], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 7/497664], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/933120], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/41472], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/15360], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 13/115200], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/53760], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 7/103680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/414720], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 101/430080], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 17/22400], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 23/53760], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 37/134400], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 43/192000], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 25/37632], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 1/4032], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 13/73728], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/184320], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [30, 1]], 151/921600], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 151/3870720], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 1/9216], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 5/331776], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 1/207360], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/2560], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 1/86016], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 17/215040], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 13/4423680], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 153/102400], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/7680], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 23/46080], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 5/258048], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/36864], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/286720], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 7/1105920], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/61440], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 5/589824], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 13/33600], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/100800], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 1/138240], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 71/1244160], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 13/3225600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 3/102400], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 391/18432000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 19/98304], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 289/1843200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 17/64512], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 5/124416], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 607/2322432], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 539/995328], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 119/442368], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 37/622080], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 5/27648], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/129024], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1/20160], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 1/73728], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 43/258048], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 11/103680], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 1/10080], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 17/138240], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 791/7372800], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 733/2764800], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 5/43008], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 31/331776], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 925/2064384], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 1/6144], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 11/12288], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 1123/4423680], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 127/165888], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 43/184320], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 679/8847360], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 6877/7077888], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 791/4423680], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1373/1769472], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 37/1612800], [[[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]], 1/4032], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 1/25920], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 2671/4147200], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/129024], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/4480], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 1/82944], [[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 1/51840], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 13/80640], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 11/207360], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 7/138240], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 31/138240], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/1105920], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 863/11059200], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 431/7741440], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 551/3317760], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 1/3456], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 1/20736], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 2693/2654208], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 1/2304], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 187/165888], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/13824], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 29/737280], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 71/221184], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 1/10240], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 911/2211840], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/276480], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 53/172800], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/414720], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 89/1327104], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/25920], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 7/82944], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 17/161280], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 37/207360], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 13/138240], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 133/614400], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 3041/3686400], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 1/9216], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 7/36864], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8192], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 13/82944], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 233/3225600], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 2563/16588800], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 1/96768], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 1/41472], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1/20480], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 13/61440], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 12671/22118400], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 881/2211840], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 13/552960], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 37/276480], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 1213/16588800], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 577/88473600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 353/4608000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 37/1720320], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 1/155520], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 8941/23224320], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 127/1990656], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 2749/6635520], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 1147/2764800], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 8113/53084160], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 101/2211840], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 143/3538944], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 2009/3538944], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 30223/88473600], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 4543/17694720], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 96467/331776000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 67/1843200], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 97/11059200], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 679/13271040], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 3/40960], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 1133/26542080], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 79/1382400], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 4147/11059200], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 2291/11796480], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 1/110592], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 38651/7431782400], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 271751/5945425920], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 195151/1857945600], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 8291/849346560], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/7680], [[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/32256], [[[1, 5], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 5], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 17/42240], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/14400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/216000], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/56448], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [13, 1]], 5/89856], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 5/8448], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 1/55296], [[[1, 6], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1]], 1/10560], [[[1, 6], [2, 1], [3, 1], [4, 1], [11, 1], [12, 1]], 1/6336], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/61440], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [15, 1]], 13/368640], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/38400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 1/21600], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 13/1548288], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [14, 1]], 1/21504], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/32256], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 7/276480], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/43008], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 1/16128], [[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 1/20736], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [10, 1]], 1/2211840], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/3096576], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/3538944], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [11, 1]], 1/10560], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 31/60480], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [15, 1]], 1/23040], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 2], [10, 1]], 1/46080], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [8, 2]], 1/64512], [[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1]], 1/12672], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/96768], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/2304], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 17/153600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 1/144000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 1/86400], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [11, 1]], 1/19008], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 13/48384], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/80640], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/34560], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/230400], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [12, 1]], 1/18144], [[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/55296], [[[1, 6], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 7/62208], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/92160], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 1/34560], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/2211840], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2880], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/20160], [[[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]], 1/17280], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 1/172800], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 5/12096], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/181440], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/8640], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/259200], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 19/580608], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 1/181440], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1/108864], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 19/82944], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 1/25920], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/15552], [[[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]], 1/77760], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/96768], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/41472], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/27648], [[[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], [6, 1], [7, 1], [8, 1]], 1/217728], [[[1, 6], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 1/31104], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 1/326592], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/46656], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 1/93312], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/126720], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/7680], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/25600], [[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/14336], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/71680], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/11520], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 11/73728], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/7200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [15, 1]], 23/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 7/691200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 77/230400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 377/576000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 1/28800], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 13/19008], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/18432], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 403/1161216], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 45/50176], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1/4096], [[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [14, 1]], 1/12096], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 131/430080], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 35/110592], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 233/2211840], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 169/294912], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/7372800], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 7/27648], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1/193536], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/3096576], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 1/1327104], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 5/6144], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/13440], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 1/6048], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 19/27648], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 1/8640], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 5/20736], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 49/163840], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 311/2764800], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 23/387072], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 1/165888], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 7/294912], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/15360], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 11/55296], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 173/8847360], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 7/294912], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 185/1769472], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 1/36864], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 43/864000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 13/138240], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/25920], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/120960], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/51840], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 1/10080], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 13/33600], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 7/69120], [[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1/7200], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/10080], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 581/864000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 13/580608], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 127/112896], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [30, 1]], 7/230400], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/138240], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 1/12096], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 59/483840], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 11/25920], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [14, 1]], 1/20160], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 11/57600], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 7/55296], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 59/290304], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/15552], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/124416], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 1/41472], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 31/96768], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 1/24192], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 109/165888], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 5/64512], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 1/8640], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 1/6912], [[[1, 6], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/161280], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/27648], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 59/184320], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 329/3686400], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 1/23040], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 629/4644864], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 545/1990656], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 11/221184], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 71/165888], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/13824], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 13/276480], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/12288], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 893/1327104], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 11/24192], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 31/51840], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/17280], [[[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]], 13/92160], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1/7168], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 5/72576], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 13/82944], [[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 23/155520], [[[1, 6], [2, 3], [3, 2], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 13/103680], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 37/414720], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 113/2073600], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1/155520], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 59/435456], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 7/15552], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 61/331776], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/34560], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 25/41472], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 41/1244160], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 73/663552], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 35/82944], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 19/311040], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 79/388800], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 13/466560], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 19/373248], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 7/933120], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 31/373248], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 1/103680], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 59/71680], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 17/22400], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/8960], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/10752], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 47/576000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 1/7168], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 1/73728], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [30, 1]], 11/921600], [[[1, 6], [2, 3], [4, 1], [6, 1], [14, 1], [18, 1]], 11/3870720], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/17920], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/30720], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4423680], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 379/614400], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/5760], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/4608], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 5/64512], [[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [18, 1]], 1/2211840], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/184320], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/2949120], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/17920], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/14400], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/86400], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/25920], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 233/3225600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 2563/16588800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/6720], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 289/1843200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 19/98304], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 391/18432000], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 1/3456], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 1/20736], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 431/7741440], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 551/3317760], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 89/1327104], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/414720], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 7/82944], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/8192], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 17/161280], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 1/96768], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 13/82944], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 7/36864], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 37/207360], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 1/41472], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 1/26880], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 1/10240], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 881/2211840], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 12671/22118400], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 13/552960], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 925/2064384], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 1/6144], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 5/43008], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 31/331776], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 71/221184], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 29/737280], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 911/2211840], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 13/61440], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 1/18432], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 791/4423680], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 6877/7077888], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 679/8847360], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1373/1769472], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 13/80640], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 11/207360], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/4480], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 1/51840], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 53/172800], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 37/276480], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/4032], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1/129024], [[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 1/25920], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 37/1612800], [[[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]], 1/276480], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 1/2304], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/20480], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 133/614400], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 607/2322432], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 539/995328], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 17/64512], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 5/124416], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 2693/2654208], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 31/138240], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 187/165888], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 13/138240], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1123/4423680], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 11/12288], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 17/138240], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 127/165888], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 7/138240], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 2671/4147200], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 37/622080], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 119/442368], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 71/1244160], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 5/27648], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 11/103680], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/13824], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 863/11059200], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 3041/3686400], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 1/9216], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 43/258048], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1/129024], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 1/73728], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 13/3225600], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 3/102400], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1105920], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 43/184320], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 733/2764800], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 791/7372800], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 251/1658880], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1891/88473600], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 2617/11059200], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 39/286720], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 49/1105920], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 4961/15482880], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 7/82944], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 307/884736], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 7153/33177600], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 8369/53084160], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 5/55296], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 12637/88473600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 16613/17694720], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 28921/88473600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1537/3932160], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/368640], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 100549/221184000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 323/5529600], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 49/331776], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 7/46080], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 2761/26542080], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 223/2211840], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 269/691200], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 2849/35389440], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 1/552960], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 6437/265420800], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 4993/47185920], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 423947/2654208000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 45113/1981808640], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 17/368640], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/28800], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [15, 1]], 151/921600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/691200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 29/76800], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 19/64000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/21600], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 19/95040], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 53/143360], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 5/21504], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 7/122880], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 37/143360], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 299/2211840], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 263/22118400], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/49152], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 23/43008], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 5/48384], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 11/55296], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 1/34560], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 1/12960], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 89/2949120], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/34560], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 7/138240], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/110592], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 11/276480], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 11/44236800], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 17/1769472], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 11/921600], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 1/138240], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/120960], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/103680], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 1/11520], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 43/100800], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 1/28800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 7/276480], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/6750], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 1/580608], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/5376], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [30, 1]], 1/691200], [[[1, 7], [2, 2], [3, 1], [6, 1], [14, 1], [18, 1]], 1/2903040], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 139/483840], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 1/2160], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/6912], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/36864], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 5/290304], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/124416], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 11/27648], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/30240], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/18144], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 73/165888], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 7/103680], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 7/62208], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 49/184320], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 121/2457600], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 11/207360], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 439/9289728], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 127/3981312], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 5/165888], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 13/552960], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/73728], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 187/2654208], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 23/40320], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 7/17280], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1/30720], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 31/580608], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1]], 1/90720], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 17/248832], [[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1]], 1/77760], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/51840], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 29/207360], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 91/2073600], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1/77760], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 149/1306368], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 7/31104], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/110592], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/6912], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 31/1244160], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 11/663552], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 61/248832], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 11/311040], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 49/777600], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 7/233280], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 29/746496], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 1/155520], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 31/373248], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 23/30720], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 37/134400], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/11520], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/115200], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/64512], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/215040], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 31/614400], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/129024], [[[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]], 1/100800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/103680], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 149/483840], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 259/829440], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 1/11520], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 311/1105920], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 53/442368], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 11/18432000], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1/10752], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 1/41472], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 11/7741440], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 5/663552], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 1/110592], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 1/36864], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 199/516096], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 1/10080], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 1/24192], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 853/3317760], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 197/2580480], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 1/8640], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 1/20736], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/307200], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 43/1382400], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 401/552960], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 989/1843200], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 41/552960], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 365/774144], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 73/829440], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 1/2064384], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 7/110592], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/4423680], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 251/2211840], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/11520], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 5/55296], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 119/884736], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 11531/35389440], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 49/2949120], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 7027/17694720], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 211/483840], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 13/276480], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 3/44800], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1/27648], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 917/13824000], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/6912], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 1/10752], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 13/120960], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 1/41472], [[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 1/43200], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/4838400], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 11/2073600], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 277/829440], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 271/1105920], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 71/204800], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 1/69120], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 449/774144], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 151/248832], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 1/21504], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/82944], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 157/294912], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 37/829440], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 553/829440], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/18432], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 1309/3317760], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 97/110592], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 37/552960], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 59/82944], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 13/138240], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 4981/8294400], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 107/414720], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 827/1990656], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 167/3732480], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/4096], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 121/1290240], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/69120], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 7/276480], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 131/11059200], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1777/3686400], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11520], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 11/172032], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 11/403200], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 11/5529600], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 1/9216], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1399/22118400], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 91/7372800], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 7/46080], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 2849/35389440], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 269/691200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 1/552960], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 4961/15482880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 7/82944], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 39/286720], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 49/1105920], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 49/331776], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 323/5529600], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 2761/26542080], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 223/2211840], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 28921/88473600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 16613/17694720], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 12637/88473600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 1537/3932160], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 100549/221184000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/368640], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 7153/33177600], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 307/884736], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 251/1658880], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 8369/53084160], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 5/55296], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 2617/11059200], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1891/88473600], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 5987/88473600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 287107/2123366400], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 116129/884736000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 3341/106168320], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/46080], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/368640], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [15, 1]], 11/921600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 7/76800], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 1/144000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 1/86400], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1]], 7/760320], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 331/3870720], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 1/368640], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 41/2580480], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 7/1105920], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/7372800], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 1/86016], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 1/90720], [[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 1/110592], [[[1, 8], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1]], 11/2177280], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 17/2949120], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 1/138240], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/276480], [[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/44236800], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2]], 1/921600], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/80640], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/10080], [[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/138240], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 1/172800], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 17/96768], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 1/7680], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/230400], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 13/96768], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/120960], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/72576], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 25/331776], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 1/103680], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 1/62208], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1/184320], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 11/1474560], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 11/1036800], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 17/3096576], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 1/1327104], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 5/884736], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 23/120960], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/12960], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/145152], [[[1, 8], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 1/124416], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 5/82944], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 1/259200], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 1/155520], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 13/2612736], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/124416], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/138240], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 1/248832], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 1/311040], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/466560], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/497664], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 1/41472], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 13/86016], [[[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, 2], [5, 1], [10, 1], [12, 1]], 1/691200], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/161280], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 1/2160], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 4291/16588800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 1/80640], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 3223/18432000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 67/2211840], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 13/580608], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/248832], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 1/4976640], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 1/331776], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 1499/3870720], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1/23040], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 1/24192], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 5/36288], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 17/2580480], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 11/345600], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 1/34560], [[[1, 8], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 1/6451200], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 11/2764800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 3737/7372800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 1339/7372800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 17/276480], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 13499/92897280], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 361/17418240], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/221184], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 13/663552], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 11/460800], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 11/276480], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 743/44236800], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 247/11796480], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 3203/53084160], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 85/193536], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 7/414720], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 1/201600], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 11/691200], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 301/41472000], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 11/230400], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 1/21504], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 11/518400], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 1/69120], [[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 11/2721600], [[[1, 8], [2, 3], [3, 1], [6, 1], [10, 1], [18, 1]], 1/4147200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 359/4147200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 217/691200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 2767/11059200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 1/41472], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 11173/23224320], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 2599/9953280], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 259/2654208], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 1/276480], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 17/92160], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/92160], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 12613/66355200], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 139/552960], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 389/1327104], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 59/1036800], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 9727/41472000], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 215/746496], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1499/5971968], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 71/3732480], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 163/995328], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/28672], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/276480], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 427/3686400], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/43200], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 7/368640], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/403200], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 13/552960], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 31/5529600], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/86400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 3/40960], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 2291/11796480], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 4147/11059200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 1/110592], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 8941/23224320], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 127/1990656], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 37/1720320], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 1/155520], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 679/13271040], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 97/11059200], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 1133/26542080], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 79/1382400], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 30223/88473600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 2009/3538944], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 143/3538944], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 4543/17694720], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 67/1843200], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 96467/331776000], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 1147/2764800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 2749/6635520], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 1213/16588800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 8113/53084160], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 101/2211840], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 353/4608000], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 577/88473600], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 116129/884736000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 287107/2123366400], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 5987/88473600], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 3341/106168320], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 2461/9676800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 1559/19353600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1681/55296000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/491520], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/580608], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 491/3870720], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 1/151200], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 1/90720], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 593/23224320], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 11/3628800], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 11/2177280], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 637/7372800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/92160], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 47/4147200], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 73/11612160], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 71/34836480], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/663552], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 1/460800], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/276480], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 43/44236800], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2359296], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 349/106168320], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 253/1612800], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 1/829440], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1/691200], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/230400], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 47/5806080], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1]], 1/1814400], [[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 11/4354560], [[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1]], 1/5443200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 7/2073600], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 731/5529600], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 3007/55296000], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 11/1036800], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 217/1990656], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 527/13934592], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/884736], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/55296], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 361/33177600], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1/138240], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 4321/139345920], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 43/4147200], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 631/20736000], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 409/4665600], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 565/11943936], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 1/414720], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 109/2488320], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 13/1935360], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 17/1843200], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/691200], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/645120], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/552960], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1382400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 317/16588800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 1919/9830400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 547/2764800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 1/92160], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 10777/46448640], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 89/4354560], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 1/860160], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 1/3317760], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 11/1105920], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/2073600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 5377/743178240], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 53/3686400], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 37591/265420800], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 949/5898240], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 29/4423680], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1591/17694720], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 61/2764800], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 33527/331776000], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 11689/33177600], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 19987/92897280], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 929/49766400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 241/2949120], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 19/1382400], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 5219/387072000], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1913/2477260800], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 423947/2654208000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 4993/47185920], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 6437/265420800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 45113/1981808640], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 43/1382400], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 269/38707200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1728000], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 17/1548288], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/2419200], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/1451520], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/580608], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/7257600], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/4354560], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 1/737280], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/2457600], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 29/58060800], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/6193152], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/7077888], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 37/2419200], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/2903040], [[[1, 10], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/8709120], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 43/2764800], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 1/1728000], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 1/1036800], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1244160], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 13/17418240], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 13/22118400], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 1/8709120], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 1/2073600], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 11/18662400], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 1/1327104], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/276480], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1935360], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3686400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 11/4147200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 47893/619315200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 2341/55296000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 17/4147200], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 9059/162570240], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 31/9953280], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1658880], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 281/743178240], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1/921600], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 1403/74317824], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 653/41287680], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/2764800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 565/42467328], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 17/3317760], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 143671/9289728000], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 39469/348364800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 3133/69672960], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 73/43545600], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 2285/111476736], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 41/25804800], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 409/290304000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/495452160], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 195151/1857945600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 271751/5945425920], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 38651/7431782400], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 8291/849346560], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/8294400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 29857/2477260800], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 239/96768000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 29/58060800], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 2327/585252864], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 1/3732480], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 1111/1857945600], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 17/61931520], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 43187/66886041600], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/2322432], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 6863/9289728000], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 1451/139345920], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 167/55738368], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 1/14515200], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 709/318504960], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/19353600], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/16588800], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 12043/371589120], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 825443/89181388800], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 29819/66886041600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 23/10616832], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 223/353894400], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 1/96768000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 1/58060800], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 11/365783040], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/104509440], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/88473600], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 1/2090188800], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 1/116121600], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 1/21772800], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/46448640], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 19/247726080], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1410263/334430208000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 212861/267544166400], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 79/5225472000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 7891/33443020800], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 693317/3678732288000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 6311/267544166400], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/3483648000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 2963/267544166400], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 169/229920768000], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/11147673600], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 1/5945425920], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1440], [[[2, 3], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/6048], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/7680], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/32256], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/10080], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/46080], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1440], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/6048], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [22, 1]], 1/15840], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/9216], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/4320], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/18144], [[[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], [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], [6, 1], [8, 1], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/2400], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/10080], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/960], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 19/7680], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 19/32256], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1440], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/10080], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/6048], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/10080], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/4320], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/73728], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/145152], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/30240], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/2016], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/4320], [[[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], [12, 1]], 1/18432], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280], [[[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]], 1/92160], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1536], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2304], [[[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, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/129024], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/207360], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/147456], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/345600], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1843200], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/276480], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/1440], [[[1, 2], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/6048], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [22, 1]], 1/15840], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/4320], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/18144], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [9, 1]], 1/48384], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/2304], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/6144], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/11520], [[[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], [14, 1], [18, 1]], 1/48384], [[[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, 4], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/1800], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/1800], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/7560], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/7560], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/2880], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/12096], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/2400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/10080], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/960], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 19/7680], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 19/32256], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1440], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/10080], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/6048], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 13/144000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[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], [10, 1]], 1/51840], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 19/153600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 7/92160], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 7/73728], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 7/34560], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/28800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/20736], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 19/64512], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 61/82944], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/12096], [[[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]], 1/1728], [[[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], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/4320], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/69120], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 11/12096], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 19/18432], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 11/17280], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 7/36864], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 17/25200], [[[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]], 1/34560], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/7200], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 19/92160], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 37/53760], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 19/23040], [[[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]], 1/4320], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/19200], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/40320], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 13/230400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 31/64512], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/41472], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 13/48384], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/25920], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 23/48384], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 5/13824], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2160], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/737280], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/46080], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 19/552960], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 25/147456], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 67/691200], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/55296], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/46080], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/216000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 287/5529600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 23/460800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/15840], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/10080], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 19/7680], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/960], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/2400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/1440], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 19/32256], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/10080], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/6048], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/8640], [[[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], [7, 1], [9, 1]], 1/48384], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/6144], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 1/48384], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/1800], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/1800], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/7560], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/7560], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/4320], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/18144], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/9216], [[[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], [12, 1]], 1/12096], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/5184], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/7680], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/32256], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 43/144000], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[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], [10, 1]], 1/51840], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/3360], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/16800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/153600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 5/48384], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2688], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 19/153600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 11/4608], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 7/92160], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 7/11520], [[[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], [14, 1], [18, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 19/64512], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 61/82944], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/6480], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096], [[[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], [12, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/69120], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 7/138240], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/34560], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 23/18432], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1728], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 7/92160], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 23/12288], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/10800], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 17/25200], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5400], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/34560], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/27648], [[[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], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/4320], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/138240], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 5/18432], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[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], [10, 1], [18, 1]], 1/14400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 19/92160], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/17920], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2304], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/19200], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/25920], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 31/76800], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/9216], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 25/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/10368], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 41/80640], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/51840], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/12096], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 41/46080], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 5/6912], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1331/11059200], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 7/46080], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 259/552960], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 53/49152], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 17/27648], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/138240], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/69120], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/138240], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/55296], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 211/230400], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/5529600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 3533/27648000], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/92160], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 81/204800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13/442368], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 329/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/15840], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/10080], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 19/7680], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/960], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/2400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/1440], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 19/32256], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/10080], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/6048], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/10080], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/4320], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/2880], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/12096], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/4320], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/18144], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/9216], [[[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], [12, 1]], 1/12096], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/5184], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 7/92160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 7/11520], [[[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], [7, 1], [8, 1]], 1/17920], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2304], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/3360], [[[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], [9, 1], [12, 1]], 1/8640], [[[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, 2], [6, 1], [8, 1]], 19/153600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 43/144000], [[[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], [9, 1]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 11/4608], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/2304], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 5/48384], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/2016], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/34560], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/138240], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/69120], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 5/18432], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 7/92160], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 23/12288], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/25200], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/5400], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/6480], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8640], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 19/92160], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 19/64512], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/12096], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 61/82944], [[[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], [12, 1], [14, 1]], 1/2016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 7/138240], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 23/18432], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/34560], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/51840], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/16800], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/3360], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/46080], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 13/40320], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/6480], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 11/138240], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 373/691200], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 197/460800], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 13/43008], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5040], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 89/64512], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/80640], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1152], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 47/69120], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 19/55296], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 17/34560], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 13/36864], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 629/1105920], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2560], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 133/184320], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 311/147456], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1280], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/46080], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 13/92160], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 143/691200], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 7/34560], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 13/138240], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 13/55296], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 7/34560], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 29/28800], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 377/5529600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 3869/5529600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/10240], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 5083/5529600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 55/442368], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 25/55296], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 7/92160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 7/34560], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 37/53760], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/16800], [[[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]], 19/23040], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/7200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/4320], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 19/153600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 13/144000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/20736], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 7/73728], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/69120], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/4320], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 11/12096], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 7/36864], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/20160], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/25200], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/8640], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/10800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/12096], [[[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], [8, 1], [10, 1]], 19/92160], [[[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]], 19/64512], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1728], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 61/82944], [[[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]], 1/6912], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 11/17280], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 19/18432], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/4320], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/80640], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5040], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 13/138240], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 143/691200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 7/34560], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 29/28800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 89/64512], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 13/40320], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1152], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 13/43008], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/6480], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 13/92160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 13/55296], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 7/34560], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 133/184320], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 629/1105920], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1280], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 13/36864], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 311/147456], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2560], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/46080], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 47/69120], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 373/691200], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 17/34560], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 11/138240], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 19/55296], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 197/460800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 73/221184], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4303/2764800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 79/276480], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 929/1105920], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 91/442368], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 127/276480], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/34560], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1536], [[[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]], 1/2304], [[[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]], 1/153600], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/145152], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/73728], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/24192], [[[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]], 1/30240], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2016], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/27648], [[[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]], 1/18432], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/4320], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 41/80640], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/51840], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/138240], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 211/230400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/4320], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 25/16128], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/12096], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/25920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 259/552960], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1331/11059200], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 17/27648], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 53/49152], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 7/46080], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/138240], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 41/46080], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 31/76800], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 5/6912], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9216], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 929/1105920], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4303/2764800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 127/276480], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 73/221184], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 91/442368], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 79/276480], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 13/48384], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/46080], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 31/64512], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 23/48384], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/41472], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 19/552960], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/737280], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 67/691200], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 25/147456], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 5/13824], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 13/230400], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2160], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 5083/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 3869/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 25/55296], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 377/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 55/442368], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/10240], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/120960], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/207360], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/129024], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/16128], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/345600], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/147456], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 81/204800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 3533/27648000], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 329/1382400], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/5529600], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 13/442368], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 287/5529600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/216000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 23/460800], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1843200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/276480], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 317/230400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 317/230400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360] ]}