{[
[[[1, 23]], 1/16197252255055872000],
[[[2, 23]], 1/16197252255055872000],
[[[1, 1], [2, 22]], 163/16197252255055872000],
[[[1, 2], [2, 21]], 3701/5399084085018624000],
[[[1, 3], [2, 20]], 199/7790886125568000],
[[[1, 4], [2, 19]], 13409/23372658376704000],
[[[1, 5], [2, 18]], 53311/6592288260096000],
[[[1, 5], [7, 3]], 1/10976],
[[[1, 6], [2, 17]], 614077/8475799191552000],
[[[1, 7], [2, 16]], 316886113/771297726431232000],
[[[1, 8], [2, 15]], 261268817/179969469500620800],
[[[1, 9], [2, 14]], 30922667/9888432390144000],
[[[1, 9], [3, 7]], 1/5038848],
[[[1, 10], [2, 13]], 134087/33294385152000],
[[[1, 11], [2, 12]], 499/147975045120],
[[[1, 11], [3, 6]], 23/201553920],
[[[1, 11], [5, 3]], 1/4608000],
[[[1, 11], [7, 2]], 4609/18207866880],
[[[1, 11], [13, 1]], 1/2415329280],
[[[1, 12], [2, 11]], 499/147975045120],
[[[1, 13], [2, 10]], 134087/33294385152000],
[[[1, 13], [3, 5]], 127/7524679680],
[[[1, 13], [11, 1]], 1/12262440960],
[[[1, 14], [2, 9]], 30922667/9888432390144000],
[[[1, 15], [2, 8]], 261268817/179969469500620800],
[[[1, 15], [3, 4]], 23543/39730308710400],
[[[1, 15], [4, 4]], 1/1071246842265600],
[[[1, 15], [5, 2]], 11/74317824000],
[[[1, 15], [8, 2]], 1/22317642547200],
[[[1, 16], [2, 7]], 316886113/771297726431232000],
[[[1, 17], [2, 6]], 614077/8475799191552000],
[[[1, 17], [3, 3]], 27787/3615458092646400],
[[[1, 17], [7, 1]], 239/937340986982400],
[[[1, 18], [2, 5]], 53311/6592288260096000],
[[[1, 19], [2, 4]], 13409/23372658376704000],
[[[1, 19], [3, 2]], 3947/96412215803904000],
[[[1, 19], [4, 2]], 1/10712468422656000],
[[[1, 19], [5, 1]], 41/6886586843136000],
[[[1, 20], [2, 3]], 199/7790886125568000],
[[[1, 21], [2, 2]], 3701/5399084085018624000],
[[[1, 21], [3, 1]], 1/11569465896468480],
[[[1, 22], [2, 1]], 163/16197252255055872000],
[[[2, 5], [14, 3]], 1/10976],
[[[2, 9], [6, 7]], 1/5038848],
[[[2, 11], [6, 6]], 23/201553920],
[[[2, 11], [10, 3]], 1/4608000],
[[[2, 11], [14, 2]], 4609/18207866880],
[[[2, 11], [26, 1]], 1/2415329280],
[[[2, 13], [6, 5]], 127/7524679680],
[[[2, 13], [22, 1]], 1/12262440960],
[[[2, 15], [4, 4]], 1/1071246842265600],
[[[2, 15], [6, 4]], 23543/39730308710400],
[[[2, 15], [8, 2]], 1/22317642547200],
[[[2, 15], [10, 2]], 11/74317824000],
[[[2, 17], [6, 3]], 27787/3615458092646400],
[[[2, 17], [14, 1]], 239/937340986982400],
[[[2, 19], [4, 2]], 1/10712468422656000],
[[[2, 19], [6, 2]], 3947/96412215803904000],
[[[2, 19], [10, 1]], 41/6886586843136000],
[[[2, 21], [6, 1]], 1/11569465896468480],
[[[1, 1], [2, 4], [14, 3]], 1/5488],
[[[1, 1], [2, 8], [6, 7]], 1/5038848],
[[[1, 1], [2, 10], [6, 6]], 37/40310784],
[[[1, 1], [2, 10], [10, 3]], 1/256000],
[[[1, 1], [2, 10], [14, 2]], 491/84295680],
[[[1, 1], [2, 10], [26, 1]], 1/33546240],
[[[1, 1], [2, 12], [4, 5]], 1/178362777600],
[[[1, 1], [2, 12], [6, 5]], 319/1074954240],
[[[1, 1], [2, 12], [22, 1]], 5/817496064],
[[[1, 1], [2, 14], [4, 4]], 1/11771943321600],
[[[1, 1], [2, 14], [6, 4]], 15497/722369249280],
[[[1, 1], [2, 14], [8, 2]], 1/245248819200],
[[[1, 1], [2, 14], [10, 2]], 269/37158912000],
[[[1, 1], [2, 14], [16, 1]], 1/2789705318400],
[[[1, 1], [2, 16], [4, 3]], 241/412018016256000],
[[[1, 1], [2, 16], [6, 3]], 9137/19865154355200],
[[[1, 1], [2, 16], [14, 1]], 7409/312446995660800],
[[[1, 1], [2, 18], [4, 2]], 37/3570822807552000],
[[[1, 1], [2, 18], [6, 2]], 17503/4820610790195200],
[[[1, 1], [2, 18], [8, 1]], 1/535623421132800],
[[[1, 1], [2, 18], [10, 1]], 841/1339058552832000],
[[[1, 1], [2, 20], [4, 1]], 23/29665297170432000],
[[[1, 1], [2, 20], [6, 1]], 3103/289236647411712000],
[[[1, 2], [2, 3], [14, 3]], 1/10976],
[[[1, 2], [2, 9], [4, 6]], 1/283115520],
[[[1, 2], [2, 9], [6, 6]], 17/13436928],
[[[1, 2], [2, 9], [10, 3]], 31/1536000],
[[[1, 2], [2, 9], [14, 2]], 6329/168591360],
[[[1, 2], [2, 9], [26, 1]], 43/67092480],
[[[1, 2], [2, 11], [4, 5]], 1/3963617280],
[[[1, 2], [2, 11], [6, 5]], 571/358318080],
[[[1, 2], [2, 11], [22, 1]], 7/48660480],
[[[1, 2], [2, 13], [4, 4]], 179/356725555200],
[[[1, 2], [2, 13], [6, 4]], 1025/4013162496],
[[[1, 2], [2, 13], [8, 2]], 1/7431782400],
[[[1, 2], [2, 13], [10, 2]], 9493/74317824000],
[[[1, 2], [2, 13], [16, 1]], 1/30656102400],
[[[1, 2], [2, 15], [4, 3]], 4601/119027426918400],
[[[1, 2], [2, 15], [6, 3]], 133229/13243436236800],
[[[1, 2], [2, 15], [7, 1]], 1/4881984307200],
[[[1, 2], [2, 15], [14, 1]], 252817/312446995660800],
[[[1, 2], [2, 17], [3, 2]], 1/301288174387200],
[[[1, 2], [2, 17], [4, 2]], 281/88168464384000],
[[[1, 2], [2, 17], [5, 1]], 1/83691159552000],
[[[1, 2], [2, 17], [6, 2]], 403019/3213740526796800],
[[[1, 2], [2, 17], [8, 1]], 103/535623421132800],
[[[1, 2], [2, 17], [10, 1]], 68797/2678117105664000],
[[[1, 2], [2, 19], [3, 1]], 1/4017175658496000],
[[[1, 2], [2, 19], [4, 1]], 1627/18364231581696000],
[[[1, 2], [2, 19], [6, 1]], 19/35315829964800],
[[[1, 3], [2, 2], [7, 3]], 1/10976],
[[[1, 3], [2, 6], [4, 7]], 1/9437184],
[[[1, 3], [2, 8], [4, 6]], 1/18874368],
[[[1, 3], [2, 8], [6, 6]], 1/4478976],
[[[1, 3], [2, 8], [7, 2]], 1/2023096320],
[[[1, 3], [2, 8], [10, 3]], 13/384000],
[[[1, 3], [2, 8], [13, 1]], 1/268369920],
[[[1, 3], [2, 8], [14, 2]], 619/7225344],
[[[1, 3], [2, 8], [26, 1]], 23/4792320],
[[[1, 3], [2, 10], [4, 5]], 1/9437184],
[[[1, 3], [2, 10], [6, 5]], 193/71663616],
[[[1, 3], [2, 10], [22, 1]], 41/30965760],
[[[1, 3], [2, 12], [4, 4]], 6773/356725555200],
[[[1, 3], [2, 12], [6, 4]], 25453/20065812480],
[[[1, 3], [2, 12], [8, 2]], 1/495452160],
[[[1, 3], [2, 12], [10, 2]], 9487/9289728000],
[[[1, 3], [2, 12], [16, 1]], 1/928972800],
[[[1, 3], [2, 14], [4, 3]], 18713881/6427481053593600],
[[[1, 3], [2, 14], [6, 3]], 5111/50164531200],
[[[1, 3], [2, 14], [7, 1]], 1/53648179200],
[[[1, 3], [2, 14], [14, 1]], 5011/381498163200],
[[[1, 3], [2, 16], [3, 2]], 97/301288174387200],
[[[1, 3], [2, 16], [4, 2]], 168557/856997473812480],
[[[1, 3], [2, 16], [5, 1]], 97/83691159552000],
[[[1, 3], [2, 16], [6, 2]], 3487/1605264998400],
[[[1, 3], [2, 16], [8, 1]], 587/76517631590400],
[[[1, 3], [2, 16], [10, 1]], 21559/40577531904000],
[[[1, 3], [2, 18], [3, 1]], 37/1339058552832000],
[[[1, 3], [2, 18], [4, 1]], 258397/64274810535936000],
[[[1, 3], [2, 18], [6, 1]], 228467/16068702633984000],
[[[1, 3], [4, 4], [7, 2]], 1/1204224],
[[[1, 3], [4, 4], [13, 1]], 1/159744],
[[[1, 3], [7, 2], [8, 2]], 1/25088],
[[[1, 3], [8, 2], [13, 1]], 1/3328],
[[[1, 4], [2, 1], [7, 3]], 1/5488],
[[[1, 4], [2, 5], [4, 7]], 1/9437184],
[[[1, 4], [2, 7], [4, 6]], 169/56623104],
[[[1, 4], [2, 7], [7, 2]], 1/36126720],
[[[1, 4], [2, 7], [10, 3]], 127/4608000],
[[[1, 4], [2, 7], [13, 1]], 1/4792320],
[[[1, 4], [2, 7], [14, 2]], 11761/144506880],
[[[1, 4], [2, 7], [26, 1]], 241/19169280],
[[[1, 4], [2, 9], [4, 5]], 77/47185920],
[[[1, 4], [2, 9], [6, 5]], 89/71663616],
[[[1, 4], [2, 9], [11, 1]], 1/454164480],
[[[1, 4], [2, 9], [22, 1]], 47/8847360],
[[[1, 4], [2, 11], [4, 4]], 82627/152882380800],
[[[1, 4], [2, 11], [6, 4]], 14941/5733089280],
[[[1, 4], [2, 11], [8, 2]], 1/70778880],
[[[1, 4], [2, 11], [10, 2]], 425113/111476736000],
[[[1, 4], [2, 11], [16, 1]], 1/61931520],
[[[1, 4], [2, 13], [4, 3]], 1206791/14126331985920],
[[[1, 4], [2, 13], [6, 3]], 102227/200658124800],
[[[1, 4], [2, 13], [7, 1]], 1/1625702400],
[[[1, 4], [2, 13], [14, 1]], 5699/52022476800],
[[[1, 4], [2, 15], [3, 2]], 37/3138418483200],
[[[1, 4], [2, 15], [4, 2]], 643633/129848102092800],
[[[1, 4], [2, 15], [5, 1]], 71/1673823191040],
[[[1, 4], [2, 15], [6, 2]], 57577/2825266397184],
[[[1, 4], [2, 15], [8, 1]], 9151/59513713459200],
[[[1, 4], [2, 15], [10, 1]], 32442881/5356234211328000],
[[[1, 4], [2, 17], [3, 1]], 14659/12051526975488000],
[[[1, 4], [2, 17], [4, 1]], 6073801/64274810535936000],
[[[1, 4], [2, 17], [6, 1]], 535679/2472108097536000],
[[[1, 5], [2, 4], [4, 7]], 1/9437184],
[[[1, 5], [2, 6], [4, 6]], 211/56623104],
[[[1, 5], [2, 6], [5, 3]], 1/1536000],
[[[1, 5], [2, 6], [7, 2]], 13/30965760],
[[[1, 5], [2, 6], [10, 3]], 7/768000],
[[[1, 5], [2, 6], [13, 1]], 7/2211840],
[[[1, 5], [2, 6], [14, 2]], 205/7225344],
[[[1, 5], [2, 6], [26, 1]], 1/73728],
[[[1, 5], [2, 8], [4, 5]], 23599/1698693120],
[[[1, 5], [2, 8], [6, 5]], 5/23887872],
[[[1, 5], [2, 8], [11, 1]], 169/1362493440],
[[[1, 5], [2, 8], [22, 1]], 983/97320960],
[[[1, 5], [2, 10], [4, 4]], 147331/23781703680],
[[[1, 5], [2, 10], [5, 2]], 1/8257536000],
[[[1, 5], [2, 10], [6, 4]], 4039/1911029760],
[[[1, 5], [2, 10], [8, 2]], 1/23592960],
[[[1, 5], [2, 10], [10, 2]], 13747/2064384000],
[[[1, 5], [2, 10], [16, 1]], 1/8847360],
[[[1, 5], [2, 12], [4, 3]], 2175811/2140353331200],
[[[1, 5], [2, 12], [6, 3]], 8303/6688604160],
[[[1, 5], [2, 12], [7, 1]], 1/108380160],
[[[1, 5], [2, 12], [14, 1]], 24911/52022476800],
[[[1, 5], [2, 14], [3, 2]], 29/137952460800],
[[[1, 5], [2, 14], [4, 2]], 2885257/47087773286400],
[[[1, 5], [2, 14], [5, 1]], 347/459841536000],
[[[1, 5], [2, 14], [6, 2]], 310397/2942985830400],
[[[1, 5], [2, 14], [8, 1]], 249517/148784283648000],
[[[1, 5], [2, 14], [10, 1]], 95609/2452488192000],
[[[1, 5], [2, 16], [3, 1]], 66533/2410305395097600],
[[[1, 5], [2, 16], [4, 1]], 53840041/42849873690624000],
[[[1, 5], [2, 16], [6, 1]], 4210603/2142493684531200],
[[[1, 5], [3, 3], [7, 2]], 1/127008],
[[[1, 5], [3, 3], [9, 2]], 1/972],
[[[1, 5], [3, 3], [13, 1]], 1/16848],
[[[1, 5], [3, 4], [11, 1]], 1/42768],
[[[1, 5], [4, 4], [11, 1]], 1/811008],
[[[1, 5], [7, 1], [13, 1]], 1/1456],
[[[1, 5], [8, 2], [11, 1]], 1/16896],
[[[1, 6], [2, 3], [4, 7]], 1/9437184],
[[[1, 6], [2, 5], [4, 6]], 211/56623104],
[[[1, 6], [2, 5], [5, 3]], 7/768000],
[[[1, 6], [2, 5], [7, 2]], 205/7225344],
[[[1, 6], [2, 5], [10, 3]], 1/1536000],
[[[1, 6], [2, 5], [13, 1]], 1/73728],
[[[1, 6], [2, 5], [14, 2]], 13/30965760],
[[[1, 6], [2, 5], [26, 1]], 7/2211840],
[[[1, 6], [2, 7], [3, 5]], 1/1074954240],
[[[1, 6], [2, 7], [4, 5]], 13073/566231040],
[[[1, 6], [2, 7], [6, 5]], 31/1074954240],
[[[1, 6], [2, 7], [11, 1]], 31/16220160],
[[[1, 6], [2, 7], [22, 1]], 1261/145981440],
[[[1, 6], [2, 9], [3, 4]], 1/80263249920],
[[[1, 6], [2, 9], [4, 4]], 74063/3397386240],
[[[1, 6], [2, 9], [5, 2]], 29/4128768000],
[[[1, 6], [2, 9], [6, 4]], 33613/42998169600],
[[[1, 6], [2, 9], [8, 2]], 1/23592960],
[[[1, 6], [2, 9], [10, 2]], 31799/5308416000],
[[[1, 6], [2, 9], [16, 1]], 1/2949120],
[[[1, 6], [2, 11], [4, 3]], 3668873/713451110400],
[[[1, 6], [2, 11], [6, 3]], 867947/601974374400],
[[[1, 6], [2, 11], [7, 1]], 449/6936330240],
[[[1, 6], [2, 11], [14, 1]], 24551/22295347200],
[[[1, 6], [2, 13], [3, 2]], 11/5573836800],
[[[1, 6], [2, 13], [4, 2]], 397897/1019215872000],
[[[1, 6], [2, 13], [5, 1]], 7/995328000],
[[[1, 6], [2, 13], [6, 2]], 78589673/264868724736000],
[[[1, 6], [2, 13], [8, 1]], 147593/14714929152000],
[[[1, 6], [2, 13], [10, 1]], 564049/4013162496000],
[[[1, 6], [2, 15], [3, 1]], 704113/2008587829248000],
[[[1, 6], [2, 15], [4, 1]], 138751919/14283291230208000],
[[[1, 6], [2, 15], [6, 1]], 256332077/24103053950976000],
[[[1, 7], [2, 4], [4, 6]], 169/56623104],
[[[1, 7], [2, 4], [5, 3]], 127/4608000],
[[[1, 7], [2, 4], [7, 2]], 11761/144506880],
[[[1, 7], [2, 4], [13, 1]], 241/19169280],
[[[1, 7], [2, 4], [14, 2]], 1/36126720],
[[[1, 7], [2, 4], [26, 1]], 1/4792320],
[[[1, 7], [2, 6], [3, 5]], 31/1074954240],
[[[1, 7], [2, 6], [4, 5]], 13073/566231040],
[[[1, 7], [2, 6], [6, 5]], 1/1074954240],
[[[1, 7], [2, 6], [11, 1]], 1261/145981440],
[[[1, 7], [2, 6], [22, 1]], 31/16220160],
[[[1, 7], [2, 8], [3, 4]], 281/80263249920],
[[[1, 7], [2, 8], [4, 4]], 133835/4756340736],
[[[1, 7], [2, 8], [5, 2]], 1249/4954521600],
[[[1, 7], [2, 8], [6, 4]], 833/8599633920],
[[[1, 7], [2, 8], [8, 2]], 1/165150720],
[[[1, 7], [2, 8], [10, 2]], 1087/442368000],
[[[1, 7], [2, 8], [16, 1]], 1/2580480],
[[[1, 7], [2, 10], [3, 3]], 1/1783627776],
[[[1, 7], [2, 10], [4, 3]], 1005139/89181388800],
[[[1, 7], [2, 10], [6, 3]], 124997/150493593600],
[[[1, 7], [2, 10], [7, 1]], 467/2312110080],
[[[1, 7], [2, 10], [14, 1]], 7747/5780275200],
[[[1, 7], [2, 12], [3, 2]], 1409/142690222080],
[[[1, 7], [2, 12], [4, 2]], 9155693/7134511104000],
[[[1, 7], [2, 12], [5, 1]], 4099/118908518400],
[[[1, 7], [2, 12], [6, 2]], 214229/481579499520],
[[[1, 7], [2, 12], [8, 1]], 28171/891813888000],
[[[1, 7], [2, 12], [10, 1]], 187387/668860416000],
[[[1, 7], [2, 14], [3, 1]], 7979/3153199104000],
[[[1, 7], [2, 14], [4, 1]], 13072923289/299949115834368000],
[[[1, 7], [2, 14], [6, 1]], 8956097/264868724736000],
[[[1, 7], [3, 2], [5, 3]], 1/18000],
[[[1, 7], [3, 2], [7, 2]], 25/338688],
[[[1, 7], [3, 2], [9, 2]], 1/19440],
[[[1, 7], [3, 2], [13, 1]], 1/44928],
[[[1, 7], [3, 3], [11, 1]], 7/342144],
[[[1, 7], [3, 4], [4, 4]], 1/47775744],
[[[1, 7], [3, 4], [5, 2]], 1/64800],
[[[1, 7], [3, 4], [8, 2]], 1/995328],
[[[1, 7], [3, 5], [7, 1]], 1/163296],
[[[1, 7], [3, 5], [9, 1]], 1/34992],
[[[1, 7], [3, 6], [5, 1]], 1/1049760],
[[[1, 7], [4, 2], [5, 3]], 1/384000],
[[[1, 7], [4, 2], [7, 2]], 1/12042240],
[[[1, 7], [4, 2], [13, 1]], 1/1597440],
[[[1, 7], [4, 4], [5, 2]], 1/14745600],
[[[1, 7], [5, 1], [7, 2]], 1/7680],
[[[1, 7], [5, 1], [13, 1]], 1/49920],
[[[1, 7], [5, 2], [8, 2]], 1/307200],
[[[1, 7], [7, 1], [11, 1]], 1/7392],
[[[1, 8], [2, 1], [3, 7]], 1/5038848],
[[[1, 8], [2, 3], [3, 6]], 1/4478976],
[[[1, 8], [2, 3], [4, 6]], 1/18874368],
[[[1, 8], [2, 3], [5, 3]], 13/384000],
[[[1, 8], [2, 3], [7, 2]], 619/7225344],
[[[1, 8], [2, 3], [13, 1]], 23/4792320],
[[[1, 8], [2, 3], [14, 2]], 1/2023096320],
[[[1, 8], [2, 3], [26, 1]], 1/268369920],
[[[1, 8], [2, 5], [3, 5]], 5/23887872],
[[[1, 8], [2, 5], [4, 5]], 23599/1698693120],
[[[1, 8], [2, 5], [11, 1]], 983/97320960],
[[[1, 8], [2, 5], [22, 1]], 169/1362493440],
[[[1, 8], [2, 7], [3, 4]], 833/8599633920],
[[[1, 8], [2, 7], [4, 4]], 133835/4756340736],
[[[1, 8], [2, 7], [5, 2]], 1087/442368000],
[[[1, 8], [2, 7], [6, 4]], 281/80263249920],
[[[1, 8], [2, 7], [8, 2]], 1/165150720],
[[[1, 8], [2, 7], [10, 2]], 1249/4954521600],
[[[1, 8], [2, 7], [16, 1]], 1/2580480],
[[[1, 8], [2, 9], [3, 3]], 799/40131624960],
[[[1, 8], [2, 9], [4, 3]], 365429/29727129600],
[[[1, 8], [2, 9], [6, 3]], 79871/401316249600],
[[[1, 8], [2, 9], [7, 1]], 35183/104044953600],
[[[1, 8], [2, 9], [14, 1]], 194479/242771558400],
[[[1, 8], [2, 11], [3, 2]], 1537/59454259200],
[[[1, 8], [2, 11], [4, 2]], 322729579/149824733184000],
[[[1, 8], [2, 11], [5, 1]], 2519/29727129600],
[[[1, 8], [2, 11], [6, 2]], 5299127/14982473318400],
[[[1, 8], [2, 11], [8, 1]], 989/19818086400],
[[[1, 8], [2, 11], [10, 1]], 2310059/7491236659200],
[[[1, 8], [2, 13], [3, 1]], 5173/509607936000],
[[[1, 8], [2, 13], [4, 1]], 1102546141/9888432390144000],
[[[1, 8], [2, 13], [6, 1]], 152881499/2472108097536000],
[[[1, 9], [2, 2], [3, 6]], 17/13436928],
[[[1, 9], [2, 2], [4, 6]], 1/283115520],
[[[1, 9], [2, 2], [5, 3]], 31/1536000],
[[[1, 9], [2, 2], [7, 2]], 6329/168591360],
[[[1, 9], [2, 2], [13, 1]], 43/67092480],
[[[1, 9], [2, 4], [3, 5]], 89/71663616],
[[[1, 9], [2, 4], [4, 5]], 77/47185920],
[[[1, 9], [2, 4], [11, 1]], 47/8847360],
[[[1, 9], [2, 4], [22, 1]], 1/454164480],
[[[1, 9], [2, 6], [3, 4]], 33613/42998169600],
[[[1, 9], [2, 6], [4, 4]], 74063/3397386240],
[[[1, 9], [2, 6], [5, 2]], 31799/5308416000],
[[[1, 9], [2, 6], [6, 4]], 1/80263249920],
[[[1, 9], [2, 6], [8, 2]], 1/23592960],
[[[1, 9], [2, 6], [10, 2]], 29/4128768000],
[[[1, 9], [2, 6], [16, 1]], 1/2949120],
[[[1, 9], [2, 8], [3, 3]], 79871/401316249600],
[[[1, 9], [2, 8], [4, 3]], 365429/29727129600],
[[[1, 9], [2, 8], [6, 3]], 799/40131624960],
[[[1, 9], [2, 8], [7, 1]], 194479/242771558400],
[[[1, 9], [2, 8], [14, 1]], 35183/104044953600],
[[[1, 9], [2, 10], [3, 2]], 659/14269022208],
[[[1, 9], [2, 10], [4, 2]], 6905441/3329438515200],
[[[1, 9], [2, 10], [5, 1]], 11071/99090432000],
[[[1, 9], [2, 10], [6, 2]], 75283/535088332800],
[[[1, 9], [2, 10], [8, 1]], 341/7431782400],
[[[1, 9], [2, 10], [10, 1]], 580457/3121348608000],
[[[1, 9], [2, 12], [3, 1]], 15473/713451110400],
[[[1, 9], [2, 12], [4, 1]], 9625057/59929893273600],
[[[1, 9], [2, 12], [6, 1]], 2873179/44947419955200],
[[[1, 9], [3, 1], [5, 3]], 1/115200],
[[[1, 9], [3, 1], [7, 2]], 481/27095040],
[[[1, 9], [3, 1], [13, 1]], 1/3594240],
[[[1, 9], [3, 2], [11, 1]], 41/9123840],
[[[1, 9], [3, 3], [4, 4]], 1/238878720],
[[[1, 9], [3, 3], [5, 2]], 19/1036800],
[[[1, 9], [3, 3], [8, 2]], 1/4976640],
[[[1, 9], [3, 4], [7, 1]], 1/163296],
[[[1, 9], [3, 4], [9, 1]], 5/559872],
[[[1, 9], [3, 5], [4, 2]], 1/5971968],
[[[1, 9], [3, 5], [5, 1]], 11/2799360],
[[[1, 9], [4, 2], [11, 1]], 1/8110080],
[[[1, 9], [4, 4], [7, 1]], 1/433520640],
[[[1, 9], [5, 1], [11, 1]], 1/253440],
[[[1, 9], [5, 2], [7, 1]], 1/89600],
[[[1, 9], [7, 1], [8, 2]], 1/9031680],
[[[1, 10], [2, 1], [3, 6]], 37/40310784],
[[[1, 10], [2, 1], [5, 3]], 1/256000],
[[[1, 10], [2, 1], [7, 2]], 491/84295680],
[[[1, 10], [2, 1], [13, 1]], 1/33546240],
[[[1, 10], [2, 3], [3, 5]], 193/71663616],
[[[1, 10], [2, 3], [4, 5]], 1/9437184],
[[[1, 10], [2, 3], [11, 1]], 41/30965760],
[[[1, 10], [2, 5], [3, 4]], 4039/1911029760],
[[[1, 10], [2, 5], [4, 4]], 147331/23781703680],
[[[1, 10], [2, 5], [5, 2]], 13747/2064384000],
[[[1, 10], [2, 5], [8, 2]], 1/23592960],
[[[1, 10], [2, 5], [10, 2]], 1/8257536000],
[[[1, 10], [2, 5], [16, 1]], 1/8847360],
[[[1, 10], [2, 7], [3, 3]], 124997/150493593600],
[[[1, 10], [2, 7], [4, 3]], 1005139/89181388800],
[[[1, 10], [2, 7], [6, 3]], 1/1783627776],
[[[1, 10], [2, 7], [7, 1]], 7747/5780275200],
[[[1, 10], [2, 7], [14, 1]], 467/2312110080],
[[[1, 10], [2, 9], [3, 2]], 75283/535088332800],
[[[1, 10], [2, 9], [4, 2]], 6905441/3329438515200],
[[[1, 10], [2, 9], [5, 1]], 580457/3121348608000],
[[[1, 10], [2, 9], [6, 2]], 659/14269022208],
[[[1, 10], [2, 9], [8, 1]], 341/7431782400],
[[[1, 10], [2, 9], [10, 1]], 11071/99090432000],
[[[1, 10], [2, 11], [3, 1]], 3169/118908518400],
[[[1, 10], [2, 11], [4, 1]], 137563/951268147200],
[[[1, 10], [2, 11], [6, 1]], 97427/2497078886400],
[[[1, 11], [2, 2], [3, 5]], 571/358318080],
[[[1, 11], [2, 2], [4, 5]], 1/3963617280],
[[[1, 11], [2, 2], [11, 1]], 7/48660480],
[[[1, 11], [2, 4], [3, 4]], 14941/5733089280],
[[[1, 11], [2, 4], [4, 4]], 82627/152882380800],
[[[1, 11], [2, 4], [5, 2]], 425113/111476736000],
[[[1, 11], [2, 4], [8, 2]], 1/70778880],
[[[1, 11], [2, 4], [16, 1]], 1/61931520],
[[[1, 11], [2, 6], [3, 3]], 867947/601974374400],
[[[1, 11], [2, 6], [4, 3]], 3668873/713451110400],
[[[1, 11], [2, 6], [7, 1]], 24551/22295347200],
[[[1, 11], [2, 6], [14, 1]], 449/6936330240],
[[[1, 11], [2, 8], [3, 2]], 5299127/14982473318400],
[[[1, 11], [2, 8], [4, 2]], 322729579/149824733184000],
[[[1, 11], [2, 8], [5, 1]], 2310059/7491236659200],
[[[1, 11], [2, 8], [6, 2]], 1537/59454259200],
[[[1, 11], [2, 8], [8, 1]], 989/19818086400],
[[[1, 11], [2, 8], [10, 1]], 2519/29727129600],
[[[1, 11], [2, 10], [3, 1]], 97427/2497078886400],
[[[1, 11], [2, 10], [4, 1]], 137563/951268147200],
[[[1, 11], [2, 10], [6, 1]], 3169/118908518400],
[[[1, 11], [3, 1], [11, 1]], 337/6131220480],
[[[1, 11], [3, 2], [4, 4]], 1/8918138880],
[[[1, 11], [3, 2], [5, 2]], 7/4608000],
[[[1, 11], [3, 2], [8, 2]], 1/185794560],
[[[1, 11], [3, 3], [7, 1]], 793/731566080],
[[[1, 11], [3, 3], [9, 1]], 43/104509440],
[[[1, 11], [3, 4], [4, 2]], 17/477757440],
[[[1, 11], [3, 4], [5, 1]], 31/27993600],
[[[1, 11], [4, 2], [5, 2]], 79/9289728000],
[[[1, 11], [4, 4], [5, 1]], 1/22295347200],
[[[1, 11], [5, 1], [8, 2]], 1/464486400],
[[[1, 12], [2, 1], [3, 5]], 319/1074954240],
[[[1, 12], [2, 1], [4, 5]], 1/178362777600],
[[[1, 12], [2, 1], [11, 1]], 5/817496064],
[[[1, 12], [2, 3], [3, 4]], 25453/20065812480],
[[[1, 12], [2, 3], [4, 4]], 6773/356725555200],
[[[1, 12], [2, 3], [5, 2]], 9487/9289728000],
[[[1, 12], [2, 3], [8, 2]], 1/495452160],
[[[1, 12], [2, 3], [16, 1]], 1/928972800],
[[[1, 12], [2, 5], [3, 3]], 8303/6688604160],
[[[1, 12], [2, 5], [4, 3]], 2175811/2140353331200],
[[[1, 12], [2, 5], [7, 1]], 24911/52022476800],
[[[1, 12], [2, 5], [14, 1]], 1/108380160],
[[[1, 12], [2, 7], [3, 2]], 214229/481579499520],
[[[1, 12], [2, 7], [4, 2]], 9155693/7134511104000],
[[[1, 12], [2, 7], [5, 1]], 187387/668860416000],
[[[1, 12], [2, 7], [6, 2]], 1409/142690222080],
[[[1, 12], [2, 7], [8, 1]], 28171/891813888000],
[[[1, 12], [2, 7], [10, 1]], 4099/118908518400],
[[[1, 12], [2, 9], [3, 1]], 2873179/44947419955200],
[[[1, 12], [2, 9], [4, 1]], 9625057/59929893273600],
[[[1, 12], [2, 9], [6, 1]], 15473/713451110400],
[[[1, 13], [2, 2], [3, 4]], 1025/4013162496],
[[[1, 13], [2, 2], [4, 4]], 179/356725555200],
[[[1, 13], [2, 2], [5, 2]], 9493/74317824000],
[[[1, 13], [2, 2], [8, 2]], 1/7431782400],
[[[1, 13], [2, 2], [16, 1]], 1/30656102400],
[[[1, 13], [2, 4], [3, 3]], 102227/200658124800],
[[[1, 13], [2, 4], [4, 3]], 1206791/14126331985920],
[[[1, 13], [2, 4], [7, 1]], 5699/52022476800],
[[[1, 13], [2, 4], [14, 1]], 1/1625702400],
[[[1, 13], [2, 6], [3, 2]], 78589673/264868724736000],
[[[1, 13], [2, 6], [4, 2]], 397897/1019215872000],
[[[1, 13], [2, 6], [5, 1]], 564049/4013162496000],
[[[1, 13], [2, 6], [6, 2]], 11/5573836800],
[[[1, 13], [2, 6], [8, 1]], 147593/14714929152000],
[[[1, 13], [2, 6], [10, 1]], 7/995328000],
[[[1, 13], [2, 8], [3, 1]], 152881499/2472108097536000],
[[[1, 13], [2, 8], [4, 1]], 1102546141/9888432390144000],
[[[1, 13], [2, 8], [6, 1]], 5173/509607936000],
[[[1, 13], [3, 1], [4, 4]], 1/1471492915200],
[[[1, 13], [3, 1], [5, 2]], 59/1857945600],
[[[1, 13], [3, 1], [8, 2]], 1/30656102400],
[[[1, 13], [3, 2], [7, 1]], 649/23410114560],
[[[1, 13], [3, 2], [9, 1]], 2159/551809843200],
[[[1, 13], [3, 3], [4, 2]], 11/8360755200],
[[[1, 13], [3, 3], [5, 1]], 8849/150493593600],
[[[1, 13], [4, 2], [7, 1]], 1/4335206400],
[[[1, 13], [5, 1], [7, 1]], 23/1857945600],
[[[1, 14], [2, 1], [3, 4]], 15497/722369249280],
[[[1, 14], [2, 1], [4, 4]], 1/11771943321600],
[[[1, 14], [2, 1], [5, 2]], 269/37158912000],
[[[1, 14], [2, 1], [8, 2]], 1/245248819200],
[[[1, 14], [2, 1], [16, 1]], 1/2789705318400],
[[[1, 14], [2, 3], [3, 3]], 5111/50164531200],
[[[1, 14], [2, 3], [4, 3]], 18713881/6427481053593600],
[[[1, 14], [2, 3], [7, 1]], 5011/381498163200],
[[[1, 14], [2, 3], [14, 1]], 1/53648179200],
[[[1, 14], [2, 5], [3, 2]], 310397/2942985830400],
[[[1, 14], [2, 5], [4, 2]], 2885257/47087773286400],
[[[1, 14], [2, 5], [5, 1]], 95609/2452488192000],
[[[1, 14], [2, 5], [6, 2]], 29/137952460800],
[[[1, 14], [2, 5], [8, 1]], 249517/148784283648000],
[[[1, 14], [2, 5], [10, 1]], 347/459841536000],
[[[1, 14], [2, 7], [3, 1]], 8956097/264868724736000],
[[[1, 14], [2, 7], [4, 1]], 13072923289/299949115834368000],
[[[1, 14], [2, 7], [6, 1]], 7979/3153199104000],
[[[1, 15], [2, 2], [3, 3]], 133229/13243436236800],
[[[1, 15], [2, 2], [4, 3]], 4601/119027426918400],
[[[1, 15], [2, 2], [7, 1]], 252817/312446995660800],
[[[1, 15], [2, 2], [14, 1]], 1/4881984307200],
[[[1, 15], [2, 4], [3, 2]], 57577/2825266397184],
[[[1, 15], [2, 4], [4, 2]], 643633/129848102092800],
[[[1, 15], [2, 4], [5, 1]], 32442881/5356234211328000],
[[[1, 15], [2, 4], [6, 2]], 37/3138418483200],
[[[1, 15], [2, 4], [8, 1]], 9151/59513713459200],
[[[1, 15], [2, 4], [10, 1]], 71/1673823191040],
[[[1, 15], [2, 6], [3, 1]], 256332077/24103053950976000],
[[[1, 15], [2, 6], [4, 1]], 138751919/14283291230208000],
[[[1, 15], [2, 6], [6, 1]], 704113/2008587829248000],
[[[1, 15], [3, 1], [7, 1]], 967/5150225203200],
[[[1, 15], [3, 1], [9, 1]], 1129/200858782924800],
[[[1, 15], [3, 2], [4, 2]], 7/420426547200],
[[[1, 15], [3, 2], [5, 1]], 5147/5518098432000],
[[[1, 15], [4, 2], [5, 1]], 1009/223176425472000],
[[[1, 15], [4, 2], [12, 1]], 1/8369115955200],
[[[1, 16], [2, 1], [3, 3]], 9137/19865154355200],
[[[1, 16], [2, 1], [4, 3]], 241/412018016256000],
[[[1, 16], [2, 1], [7, 1]], 7409/312446995660800],
[[[1, 16], [2, 3], [3, 2]], 3487/1605264998400],
[[[1, 16], [2, 3], [4, 2]], 168557/856997473812480],
[[[1, 16], [2, 3], [5, 1]], 21559/40577531904000],
[[[1, 16], [2, 3], [6, 2]], 97/301288174387200],
[[[1, 16], [2, 3], [8, 1]], 587/76517631590400],
[[[1, 16], [2, 3], [10, 1]], 97/83691159552000],
[[[1, 16], [2, 5], [3, 1]], 4210603/2142493684531200],
[[[1, 16], [2, 5], [4, 1]], 53840041/42849873690624000],
[[[1, 16], [2, 5], [6, 1]], 66533/2410305395097600],
[[[1, 17], [2, 2], [3, 2]], 403019/3213740526796800],
[[[1, 17], [2, 2], [4, 2]], 281/88168464384000],
[[[1, 17], [2, 2], [5, 1]], 68797/2678117105664000],
[[[1, 17], [2, 2], [6, 2]], 1/301288174387200],
[[[1, 17], [2, 2], [8, 1]], 103/535623421132800],
[[[1, 17], [2, 2], [10, 1]], 1/83691159552000],
[[[1, 17], [2, 4], [3, 1]], 535679/2472108097536000],
[[[1, 17], [2, 4], [4, 1]], 6073801/64274810535936000],
[[[1, 17], [2, 4], [6, 1]], 14659/12051526975488000],
[[[1, 17], [3, 1], [4, 2]], 101/1339058552832000],
[[[1, 17], [3, 1], [5, 1]], 1913/401717565849600],
[[[1, 17], [4, 1], [8, 1]], 1/133905855283200],
[[[1, 18], [2, 1], [3, 2]], 17503/4820610790195200],
[[[1, 18], [2, 1], [4, 2]], 37/3570822807552000],
[[[1, 18], [2, 1], [5, 1]], 841/1339058552832000],
[[[1, 18], [2, 1], [8, 1]], 1/535623421132800],
[[[1, 18], [2, 3], [3, 1]], 228467/16068702633984000],
[[[1, 18], [2, 3], [4, 1]], 258397/64274810535936000],
[[[1, 18], [2, 3], [6, 1]], 37/1339058552832000],
[[[1, 19], [2, 2], [3, 1]], 19/35315829964800],
[[[1, 19], [2, 2], [4, 1]], 1627/18364231581696000],
[[[1, 19], [2, 2], [6, 1]], 1/4017175658496000],
[[[1, 20], [2, 1], [3, 1]], 3103/289236647411712000],
[[[1, 20], [2, 1], [4, 1]], 23/29665297170432000],
[[[2, 3], [4, 4], [14, 2]], 1/1204224],
[[[2, 3], [4, 4], [26, 1]], 1/159744],
[[[2, 3], [8, 2], [14, 2]], 1/25088],
[[[2, 3], [8, 2], [26, 1]], 1/3328],
[[[2, 5], [4, 4], [22, 1]], 1/811008],
[[[2, 5], [6, 3], [14, 2]], 1/127008],
[[[2, 5], [6, 3], [18, 2]], 1/972],
[[[2, 5], [6, 3], [26, 1]], 1/16848],
[[[2, 5], [6, 4], [22, 1]], 1/42768],
[[[2, 5], [8, 2], [22, 1]], 1/16896],
[[[2, 5], [14, 1], [26, 1]], 1/1456],
[[[2, 7], [4, 2], [10, 3]], 1/384000],
[[[2, 7], [4, 2], [14, 2]], 1/12042240],
[[[2, 7], [4, 2], [26, 1]], 1/1597440],
[[[2, 7], [4, 4], [6, 4]], 1/47775744],
[[[2, 7], [4, 4], [10, 2]], 1/14745600],
[[[2, 7], [6, 2], [10, 3]], 1/18000],
[[[2, 7], [6, 2], [14, 2]], 25/338688],
[[[2, 7], [6, 2], [18, 2]], 1/19440],
[[[2, 7], [6, 2], [26, 1]], 1/44928],
[[[2, 7], [6, 3], [22, 1]], 7/342144],
[[[2, 7], [6, 4], [8, 2]], 1/995328],
[[[2, 7], [6, 4], [10, 2]], 1/64800],
[[[2, 7], [6, 5], [14, 1]], 1/163296],
[[[2, 7], [6, 5], [18, 1]], 1/34992],
[[[2, 7], [6, 6], [10, 1]], 1/1049760],
[[[2, 7], [8, 2], [10, 2]], 1/307200],
[[[2, 7], [10, 1], [14, 2]], 1/7680],
[[[2, 7], [10, 1], [26, 1]], 1/49920],
[[[2, 7], [14, 1], [22, 1]], 1/7392],
[[[2, 9], [4, 2], [6, 5]], 1/5971968],
[[[2, 9], [4, 2], [22, 1]], 1/8110080],
[[[2, 9], [4, 4], [6, 3]], 1/238878720],
[[[2, 9], [4, 4], [14, 1]], 1/433520640],
[[[2, 9], [6, 1], [10, 3]], 1/115200],
[[[2, 9], [6, 1], [14, 2]], 481/27095040],
[[[2, 9], [6, 1], [26, 1]], 1/3594240],
[[[2, 9], [6, 2], [22, 1]], 41/9123840],
[[[2, 9], [6, 3], [8, 2]], 1/4976640],
[[[2, 9], [6, 3], [10, 2]], 19/1036800],
[[[2, 9], [6, 4], [14, 1]], 1/163296],
[[[2, 9], [6, 4], [18, 1]], 5/559872],
[[[2, 9], [6, 5], [10, 1]], 11/2799360],
[[[2, 9], [8, 2], [14, 1]], 1/9031680],
[[[2, 9], [10, 1], [22, 1]], 1/253440],
[[[2, 9], [10, 2], [14, 1]], 1/89600],
[[[2, 11], [4, 2], [6, 4]], 17/477757440],
[[[2, 11], [4, 2], [10, 2]], 79/9289728000],
[[[2, 11], [4, 4], [6, 2]], 1/8918138880],
[[[2, 11], [4, 4], [10, 1]], 1/22295347200],
[[[2, 11], [6, 1], [22, 1]], 337/6131220480],
[[[2, 11], [6, 2], [8, 2]], 1/185794560],
[[[2, 11], [6, 2], [10, 2]], 7/4608000],
[[[2, 11], [6, 3], [14, 1]], 793/731566080],
[[[2, 11], [6, 3], [18, 1]], 43/104509440],
[[[2, 11], [6, 4], [10, 1]], 31/27993600],
[[[2, 11], [8, 2], [10, 1]], 1/464486400],
[[[2, 13], [4, 2], [6, 3]], 11/8360755200],
[[[2, 13], [4, 2], [14, 1]], 1/4335206400],
[[[2, 13], [4, 4], [6, 1]], 1/1471492915200],
[[[2, 13], [6, 1], [8, 2]], 1/30656102400],
[[[2, 13], [6, 1], [10, 2]], 59/1857945600],
[[[2, 13], [6, 2], [14, 1]], 649/23410114560],
[[[2, 13], [6, 2], [18, 1]], 2159/551809843200],
[[[2, 13], [6, 3], [10, 1]], 8849/150493593600],
[[[2, 13], [10, 1], [14, 1]], 23/1857945600],
[[[2, 15], [4, 2], [6, 2]], 7/420426547200],
[[[2, 15], [4, 2], [10, 1]], 1009/223176425472000],
[[[2, 15], [4, 2], [12, 1]], 1/8369115955200],
[[[2, 15], [6, 1], [14, 1]], 967/5150225203200],
[[[2, 15], [6, 1], [18, 1]], 1129/200858782924800],
[[[2, 15], [6, 2], [10, 1]], 5147/5518098432000],
[[[2, 17], [4, 1], [8, 1]], 1/133905855283200],
[[[2, 17], [4, 2], [6, 1]], 101/1339058552832000],
[[[2, 17], [6, 1], [10, 1]], 1913/401717565849600],
[[[1, 1], [2, 2], [14, 2], [16, 1]], 1/3136],
[[[1, 1], [2, 2], [16, 1], [26, 1]], 1/416],
[[[1, 1], [2, 4], [4, 3], [10, 3]], 1/64000],
[[[1, 1], [2, 4], [4, 3], [14, 2]], 13/602112],
[[[1, 1], [2, 4], [4, 3], [26, 1]], 1/6144],
[[[1, 1], [2, 4], [4, 4], [22, 1]], 1/270336],
[[[1, 1], [2, 4], [4, 5], [10, 2]], 1/2457600],
[[[1, 1], [2, 4], [6, 3], [18, 2]], 1/972],
[[[1, 1], [2, 4], [7, 1], [14, 2]], 1/1568],
[[[1, 1], [2, 4], [8, 2], [22, 1]], 1/5632],
[[[1, 1], [2, 4], [14, 1], [26, 1]], 1/728],
[[[1, 1], [2, 4], [16, 1], [22, 1]], 1/2112],
[[[1, 1], [2, 6], [4, 2], [10, 3]], 1/64000],
[[[1, 1], [2, 6], [4, 2], [14, 2]], 1/602112],
[[[1, 1], [2, 6], [4, 2], [26, 1]], 1/79872],
[[[1, 1], [2, 6], [4, 3], [22, 1]], 13/405504],
[[[1, 1], [2, 6], [4, 4], [6, 4]], 1/47775744],
[[[1, 1], [2, 6], [4, 4], [10, 2]], 1/2457600],
[[[1, 1], [2, 6], [4, 5], [6, 3]], 1/7962624],
[[[1, 1], [2, 6], [4, 5], [14, 1]], 1/2064384],
[[[1, 1], [2, 6], [6, 2], [14, 2]], 1/6272],
[[[1, 1], [2, 6], [6, 2], [18, 2]], 1/1944],
[[[1, 1], [2, 6], [6, 2], [26, 1]], 1/7488],
[[[1, 1], [2, 6], [6, 3], [22, 1]], 5/57024],
[[[1, 1], [2, 6], [6, 4], [8, 2]], 1/995328],
[[[1, 1], [2, 6], [6, 4], [16, 1]], 1/124416],
[[[1, 1], [2, 6], [6, 5], [18, 1]], 1/34992],
[[[1, 1], [2, 6], [8, 1], [14, 2]], 1/602112],
[[[1, 1], [2, 6], [8, 1], [26, 1]], 1/79872],
[[[1, 1], [2, 6], [8, 2], [10, 2]], 1/51200],
[[[1, 1], [2, 6], [10, 1], [14, 2]], 13/31360],
[[[1, 1], [2, 6], [10, 1], [26, 1]], 1/4160],
[[[1, 1], [2, 6], [10, 2], [16, 1]], 1/38400],
[[[1, 1], [2, 6], [14, 1], [22, 1]], 5/7392],
[[[1, 1], [2, 8], [3, 1], [6, 6]], 1/139968],
[[[1, 1], [2, 8], [4, 1], [6, 6]], 11/6718464],
[[[1, 1], [2, 8], [4, 1], [8, 3]], 1/1474560],
[[[1, 1], [2, 8], [4, 1], [10, 3]], 13/768000],
[[[1, 1], [2, 8], [4, 1], [14, 2]], 1933/36126720],
[[[1, 1], [2, 8], [4, 1], [26, 1]], 1/368640],
[[[1, 1], [2, 8], [4, 2], [6, 5]], 1/1990656],
[[[1, 1], [2, 8], [4, 2], [22, 1]], 23/8110080],
[[[1, 1], [2, 8], [4, 3], [6, 4]], 37/23887872],
[[[1, 1], [2, 8], [4, 3], [10, 2]], 229/73728000],
[[[1, 1], [2, 8], [4, 4], [6, 3]], 1/23887872],
[[[1, 1], [2, 8], [4, 4], [14, 1]], 1/20643840],
[[[1, 1], [2, 8], [4, 5], [6, 2]], 1/21233664],
[[[1, 1], [2, 8], [4, 5], [8, 1]], 1/70778880],
[[[1, 1], [2, 8], [4, 5], [10, 1]], 1/29491200],
[[[1, 1], [2, 8], [6, 1], [10, 3]], 1/16000],
[[[1, 1], [2, 8], [6, 1], [14, 2]], 43/301056],
[[[1, 1], [2, 8], [6, 1], [26, 1]], 1/119808],
[[[1, 1], [2, 8], [6, 2], [22, 1]], 13/304128],
[[[1, 1], [2, 8], [6, 3], [8, 2]], 1/497664],
[[[1, 1], [2, 8], [6, 3], [10, 2]], 17/259200],
[[[1, 1], [2, 8], [6, 3], [16, 1]], 1/622080],
[[[1, 1], [2, 8], [6, 4], [14, 1]], 13/435456],
[[[1, 1], [2, 8], [6, 4], [18, 1]], 41/559872],
[[[1, 1], [2, 8], [6, 5], [8, 1]], 1/746496],
[[[1, 1], [2, 8], [6, 5], [10, 1]], 1/116640],
[[[1, 1], [2, 8], [8, 1], [22, 1]], 1/405504],
[[[1, 1], [2, 8], [8, 2], [14, 1]], 1/430080],
[[[1, 1], [2, 8], [10, 1], [22, 1]], 1/16896],
[[[1, 1], [2, 8], [10, 2], [14, 1]], 29/268800],
[[[1, 1], [2, 8], [14, 1], [16, 1]], 1/1128960],
[[[1, 1], [2, 10], [3, 1], [6, 5]], 1/349920],
[[[1, 1], [2, 10], [4, 1], [6, 5]], 79/44789760],
[[[1, 1], [2, 10], [4, 1], [22, 1]], 13/24330240],
[[[1, 1], [2, 10], [4, 2], [6, 4]], 71/159252480],
[[[1, 1], [2, 10], [4, 2], [8, 2]], 1/8847360],
[[[1, 1], [2, 10], [4, 2], [10, 2]], 41/172032000],
[[[1, 1], [2, 10], [4, 3], [6, 3]], 119/238878720],
[[[1, 1], [2, 10], [4, 3], [14, 1]], 47/433520640],
[[[1, 1], [2, 10], [4, 4], [6, 2]], 1/318504960],
[[[1, 1], [2, 10], [4, 4], [10, 1]], 1/619315200],
[[[1, 1], [2, 10], [4, 5], [6, 1]], 1/743178240],
[[[1, 1], [2, 10], [5, 1], [10, 2]], 1/921600],
[[[1, 1], [2, 10], [6, 1], [22, 1]], 31/17031168],
[[[1, 1], [2, 10], [6, 2], [8, 2]], 1/6635520],
[[[1, 1], [2, 10], [6, 2], [10, 2]], 31/1382400],
[[[1, 1], [2, 10], [6, 2], [16, 1]], 1/23224320],
[[[1, 1], [2, 10], [6, 3], [14, 1]], 239/17418240],
[[[1, 1], [2, 10], [6, 3], [18, 1]], 127/14929920],
[[[1, 1], [2, 10], [6, 4], [8, 1]], 37/119439360],
[[[1, 1], [2, 10], [6, 4], [10, 1]], 167/14929920],
[[[1, 1], [2, 10], [7, 1], [14, 1]], 1/2601123840],
[[[1, 1], [2, 10], [8, 1], [10, 2]], 1/7372800],
[[[1, 1], [2, 10], [8, 2], [10, 1]], 1/12902400],
[[[1, 1], [2, 10], [10, 1], [16, 1]], 1/58060800],
[[[1, 1], [2, 12], [3, 1], [6, 4]], 47/179159040],
[[[1, 1], [2, 12], [4, 1], [6, 4]], 3547/10032906240],
[[[1, 1], [2, 12], [4, 1], [8, 2]], 1/3715891200],
[[[1, 1], [2, 12], [4, 1], [10, 2]], 787/5308416000],
[[[1, 1], [2, 12], [4, 2], [6, 3]], 11/278691840],
[[[1, 1], [2, 12], [4, 2], [14, 1]], 41/4335206400],
[[[1, 1], [2, 12], [4, 3], [6, 2]], 41/2229534720],
[[[1, 1], [2, 12], [4, 3], [8, 1]], 1/707788800],
[[[1, 1], [2, 12], [4, 3], [10, 1]], 19/3981312000],
[[[1, 1], [2, 12], [4, 3], [12, 1]], 1/1393459200],
[[[1, 1], [2, 12], [4, 4], [6, 1]], 1/26754416640],
[[[1, 1], [2, 12], [6, 1], [8, 2]], 1/557383680],
[[[1, 1], [2, 12], [6, 1], [10, 2]], 359/387072000],
[[[1, 1], [2, 12], [6, 1], [16, 1]], 1/3832012800],
[[[1, 1], [2, 12], [6, 2], [14, 1]], 277/325140480],
[[[1, 1], [2, 12], [6, 2], [18, 1]], 239/1433272320],
[[[1, 1], [2, 12], [6, 3], [8, 1]], 13/836075520],
[[[1, 1], [2, 12], [6, 3], [10, 1]], 2959/2090188800],
[[[1, 1], [2, 12], [8, 1], [14, 1]], 1/216760320],
[[[1, 1], [2, 12], [10, 1], [14, 1]], 1891/4335206400],
[[[1, 1], [2, 14], [3, 1], [4, 3]], 1/200858782924800],
[[[1, 1], [2, 14], [3, 1], [6, 3]], 11927/2207239372800],
[[[1, 1], [2, 14], [4, 1], [6, 3]], 3431/264868724736],
[[[1, 1], [2, 14], [4, 1], [7, 1]], 1/4881984307200],
[[[1, 1], [2, 14], [4, 1], [14, 1]], 257/156067430400],
[[[1, 1], [2, 14], [4, 2], [6, 2]], 13/15328051200],
[[[1, 1], [2, 14], [4, 2], [8, 1]], 2003/44635285094400],
[[[1, 1], [2, 14], [4, 2], [10, 1]], 13/51093504000],
[[[1, 1], [2, 14], [4, 2], [12, 1]], 1/91968307200],
[[[1, 1], [2, 14], [4, 3], [6, 1]], 29/147149291520],
[[[1, 1], [2, 14], [5, 1], [8, 1]], 1/6974263296000],
[[[1, 1], [2, 14], [5, 1], [10, 1]], 1/44590694400],
[[[1, 1], [2, 14], [6, 1], [14, 1]], 8851/858370867200],
[[[1, 1], [2, 14], [6, 1], [18, 1]], 103/220723937280],
[[[1, 1], [2, 14], [6, 2], [8, 1]], 197/735746457600],
[[[1, 1], [2, 14], [6, 2], [10, 1]], 1361/33443020800],
[[[1, 1], [2, 14], [8, 1], [10, 1]], 1/11147673600],
[[[1, 1], [2, 16], [3, 1], [6, 2]], 2579/80343513169920],
[[[1, 1], [2, 16], [3, 1], [8, 1]], 1/33476463820800],
[[[1, 1], [2, 16], [4, 1], [5, 1]], 1/27897053184000],
[[[1, 1], [2, 16], [4, 1], [6, 2]], 252011/1606870263398400],
[[[1, 1], [2, 16], [4, 1], [8, 1]], 2161/1071246842265600],
[[[1, 1], [2, 16], [4, 1], [10, 1]], 53341/1339058552832000],
[[[1, 1], [2, 16], [4, 1], [12, 1]], 1/16738231910400],
[[[1, 1], [2, 16], [4, 2], [6, 1]], 47/8115506380800],
[[[1, 1], [2, 16], [6, 1], [8, 1]], 19/13390585528320],
[[[1, 1], [2, 16], [6, 1], [10, 1]], 2423/7357464576000],
[[[1, 1], [2, 18], [3, 1], [4, 1]], 1/803435131699200],
[[[1, 1], [2, 18], [3, 1], [6, 1]], 271/6427481053593600],
[[[1, 1], [2, 18], [4, 1], [6, 1]], 5363/8034351316992000],
[[[1, 2], [2, 1], [7, 2], [16, 1]], 1/3136],
[[[1, 2], [2, 1], [13, 1], [16, 1]], 1/416],
[[[1, 2], [2, 3], [4, 3], [7, 2]], 1/1806336],
[[[1, 2], [2, 3], [4, 3], [13, 1]], 1/239616],
[[[1, 2], [2, 3], [4, 3], [14, 2]], 1/301056],
[[[1, 2], [2, 3], [4, 3], [26, 1]], 1/39936],
[[[1, 2], [2, 3], [7, 1], [14, 2]], 15/5488],
[[[1, 2], [2, 3], [7, 1], [26, 1]], 1/728],
[[[1, 2], [2, 3], [7, 2], [14, 1]], 1/1568],
[[[1, 2], [2, 3], [14, 1], [26, 1]], 1/1456],
[[[1, 2], [2, 3], [16, 1], [22, 1]], 1/704],
[[[1, 2], [2, 5], [3, 2], [14, 2]], 1/338688],
[[[1, 2], [2, 5], [3, 2], [26, 1]], 1/44928],
[[[1, 2], [2, 5], [4, 2], [8, 3]], 1/16384],
[[[1, 2], [2, 5], [4, 2], [10, 3]], 13/128000],
[[[1, 2], [2, 5], [4, 2], [14, 2]], 79/1204224],
[[[1, 2], [2, 5], [4, 2], [26, 1]], 79/159744],
[[[1, 2], [2, 5], [4, 3], [22, 1]], 41/405504],
[[[1, 2], [2, 5], [4, 4], [10, 2]], 149/4915200],
[[[1, 2], [2, 5], [4, 5], [14, 1]], 1/688128],
[[[1, 2], [2, 5], [4, 6], [6, 2]], 1/7077888],
[[[1, 2], [2, 5], [4, 6], [8, 1]], 1/786432],
[[[1, 2], [2, 5], [4, 6], [10, 1]], 1/1966080],
[[[1, 2], [2, 5], [5, 1], [14, 2]], 1/94080],
[[[1, 2], [2, 5], [5, 1], [26, 1]], 1/12480],
[[[1, 2], [2, 5], [6, 2], [14, 2]], 1/12544],
[[[1, 2], [2, 5], [6, 2], [18, 2]], 1/1296],
[[[1, 2], [2, 5], [6, 2], [26, 1]], 1/14976],
[[[1, 2], [2, 5], [6, 3], [22, 1]], 1/38016],
[[[1, 2], [2, 5], [6, 4], [16, 1]], 1/124416],
[[[1, 2], [2, 5], [7, 1], [22, 1]], 1/3696],
[[[1, 2], [2, 5], [7, 2], [8, 1]], 1/3010560],
[[[1, 2], [2, 5], [8, 1], [13, 1]], 1/399360],
[[[1, 2], [2, 5], [8, 1], [14, 2]], 1/50176],
[[[1, 2], [2, 5], [8, 1], [26, 1]], 1/6656],
[[[1, 2], [2, 5], [8, 2], [10, 2]], 1/102400],
[[[1, 2], [2, 5], [10, 1], [14, 2]], 27/62720],
[[[1, 2], [2, 5], [10, 1], [26, 1]], 3/8320],
[[[1, 2], [2, 5], [10, 2], [16, 1]], 1/6400],
[[[1, 2], [2, 5], [14, 1], [22, 1]], 1/1056],
[[[1, 2], [2, 7], [3, 1], [6, 6]], 1/139968],
[[[1, 2], [2, 7], [3, 1], [10, 3]], 1/144000],
[[[1, 2], [2, 7], [3, 1], [14, 2]], 1/4515840],
[[[1, 2], [2, 7], [3, 1], [26, 1]], 1/599040],
[[[1, 2], [2, 7], [3, 2], [6, 5]], 59/839808],
[[[1, 2], [2, 7], [3, 2], [22, 1]], 1/228096],
[[[1, 2], [2, 7], [4, 1], [6, 6]], 1/2239488],
[[[1, 2], [2, 7], [4, 1], [7, 2]], 1/252887040],
[[[1, 2], [2, 7], [4, 1], [8, 3]], 1/98304],
[[[1, 2], [2, 7], [4, 1], [10, 3]], 7/64000],
[[[1, 2], [2, 7], [4, 1], [13, 1]], 1/33546240],
[[[1, 2], [2, 7], [4, 1], [14, 2]], 47/172032],
[[[1, 2], [2, 7], [4, 1], [26, 1]], 3/53248],
[[[1, 2], [2, 7], [4, 2], [6, 5]], 1/221184],
[[[1, 2], [2, 7], [4, 2], [22, 1]], 85/811008],
[[[1, 2], [2, 7], [4, 3], [6, 4]], 7/2654208],
[[[1, 2], [2, 7], [4, 3], [8, 2]], 31/2949120],
[[[1, 2], [2, 7], [4, 3], [10, 2]], 91/3686400],
[[[1, 2], [2, 7], [4, 4], [6, 3]], 71/15925248],
[[[1, 2], [2, 7], [4, 4], [14, 1]], 53/4128768],
[[[1, 2], [2, 7], [4, 5], [6, 2]], 1/3538944],
[[[1, 2], [2, 7], [4, 5], [8, 1]], 1/4718592],
[[[1, 2], [2, 7], [4, 5], [10, 1]], 1/2949120],
[[[1, 2], [2, 7], [4, 6], [6, 1]], 1/7077888],
[[[1, 2], [2, 7], [5, 1], [6, 5]], 1/466560],
[[[1, 2], [2, 7], [5, 1], [22, 1]], 1/63360],
[[[1, 2], [2, 7], [6, 1], [10, 3]], 1/19200],
[[[1, 2], [2, 7], [6, 1], [14, 2]], 25/86016],
[[[1, 2], [2, 7], [6, 1], [26, 1]], 1/18432],
[[[1, 2], [2, 7], [6, 2], [22, 1]], 23/202752],
[[[1, 2], [2, 7], [6, 3], [8, 2]], 1/331776],
[[[1, 2], [2, 7], [6, 3], [10, 2]], 7/518400],
[[[1, 2], [2, 7], [6, 3], [16, 1]], 1/62208],
[[[1, 2], [2, 7], [6, 4], [7, 1]], 1/217728],
[[[1, 2], [2, 7], [6, 4], [14, 1]], 1/54432],
[[[1, 2], [2, 7], [6, 4], [18, 1]], 19/186624],
[[[1, 2], [2, 7], [6, 5], [8, 1]], 1/746496],
[[[1, 2], [2, 7], [6, 5], [10, 1]], 1/933120],
[[[1, 2], [2, 7], [7, 1], [10, 2]], 1/67200],
[[[1, 2], [2, 7], [8, 1], [22, 1]], 5/135168],
[[[1, 2], [2, 7], [8, 2], [14, 1]], 1/86016],
[[[1, 2], [2, 7], [10, 1], [22, 1]], 3/14080],
[[[1, 2], [2, 7], [10, 2], [14, 1]], 31/134400],
[[[1, 2], [2, 7], [14, 1], [16, 1]], 1/53760],
[[[1, 2], [2, 9], [3, 1], [6, 5]], 53/2239488],
[[[1, 2], [2, 9], [3, 1], [22, 1]], 1/3041280],
[[[1, 2], [2, 9], [3, 2], [6, 4]], 7/419904],
[[[1, 2], [2, 9], [3, 2], [10, 2]], 1/4147200],
[[[1, 2], [2, 9], [4, 1], [6, 5]], 1/110592],
[[[1, 2], [2, 9], [4, 1], [22, 1]], 103/8110080],
[[[1, 2], [2, 9], [4, 2], [6, 4]], 277/26542080],
[[[1, 2], [2, 9], [4, 2], [8, 2]], 47/5898240],
[[[1, 2], [2, 9], [4, 2], [10, 2]], 809/49152000],
[[[1, 2], [2, 9], [4, 3], [6, 3]], 29/6635520],
[[[1, 2], [2, 9], [4, 3], [14, 1]], 1033/433520640],
[[[1, 2], [2, 9], [4, 4], [6, 2]], 127/53084160],
[[[1, 2], [2, 9], [4, 4], [8, 1]], 7/14155776],
[[[1, 2], [2, 9], [4, 4], [10, 1]], 1/921600],
[[[1, 2], [2, 9], [4, 4], [12, 1]], 1/2211840],
[[[1, 2], [2, 9], [4, 5], [6, 1]], 1/35389440],
[[[1, 2], [2, 9], [5, 1], [6, 4]], 13/18662400],
[[[1, 2], [2, 9], [5, 1], [10, 2]], 47/2304000],
[[[1, 2], [2, 9], [6, 1], [22, 1]], 901/56770560],
[[[1, 2], [2, 9], [6, 2], [8, 2]], 1/884736],
[[[1, 2], [2, 9], [6, 2], [10, 2]], 209/2764800],
[[[1, 2], [2, 9], [6, 2], [16, 1]], 1/829440],
[[[1, 2], [2, 9], [6, 3], [7, 1]], 1/1088640],
[[[1, 2], [2, 9], [6, 3], [14, 1]], 1691/34836480],
[[[1, 2], [2, 9], [6, 3], [18, 1]], 259/4976640],
[[[1, 2], [2, 9], [6, 4], [8, 1]], 77/23887872],
[[[1, 2], [2, 9], [6, 4], [10, 1]], 71/2985984],
[[[1, 2], [2, 9], [7, 1], [14, 1]], 1087/2023096320],
[[[1, 2], [2, 9], [8, 1], [10, 2]], 1/409600],
[[[1, 2], [2, 9], [8, 2], [10, 1]], 1/1228800],
[[[1, 2], [2, 9], [10, 1], [16, 1]], 1/1612800],
[[[1, 2], [2, 11], [3, 1], [4, 4]], 1/33443020800],
[[[1, 2], [2, 11], [3, 1], [6, 4]], 431/89579520],
[[[1, 2], [2, 11], [3, 1], [10, 2]], 79/3483648000],
[[[1, 2], [2, 11], [3, 2], [6, 3]], 1361/1504935936],
[[[1, 2], [2, 11], [3, 2], [14, 1]], 1/121927680],
[[[1, 2], [2, 11], [4, 1], [6, 4]], 2233/477757440],
[[[1, 2], [2, 11], [4, 1], [8, 2]], 1/24772608],
[[[1, 2], [2, 11], [4, 1], [10, 2]], 1831/516096000],
[[[1, 2], [2, 11], [4, 1], [16, 1]], 1/464486400],
[[[1, 2], [2, 11], [4, 2], [6, 3]], 377/123863040],
[[[1, 2], [2, 11], [4, 2], [7, 1]], 1/812851200],
[[[1, 2], [2, 11], [4, 2], [14, 1]], 781/867041280],
[[[1, 2], [2, 11], [4, 3], [6, 2]], 1/2211840],
[[[1, 2], [2, 11], [4, 3], [8, 1]], 1157/14863564800],
[[[1, 2], [2, 11], [4, 3], [10, 1]], 107/696729600],
[[[1, 2], [2, 11], [4, 3], [12, 1]], 1/30965760],
[[[1, 2], [2, 11], [4, 4], [6, 1]], 29/371589120],
[[[1, 2], [2, 11], [5, 1], [6, 3]], 17/261273600],
[[[1, 2], [2, 11], [5, 1], [14, 1]], 1/33868800],
[[[1, 2], [2, 11], [6, 1], [8, 2]], 1/30965760],
[[[1, 2], [2, 11], [6, 1], [10, 2]], 1361/154828800],
[[[1, 2], [2, 11], [6, 1], [16, 1]], 1/69672960],
[[[1, 2], [2, 11], [6, 2], [7, 1]], 1/40642560],
[[[1, 2], [2, 11], [6, 2], [14, 1]], 5191/650280960],
[[[1, 2], [2, 11], [6, 2], [18, 1]], 649/278691840],
[[[1, 2], [2, 11], [6, 3], [8, 1]], 23/59719680],
[[[1, 2], [2, 11], [6, 3], [10, 1]], 42799/4180377600],
[[[1, 2], [2, 11], [7, 1], [10, 1]], 1/101606400],
[[[1, 2], [2, 11], [8, 1], [14, 1]], 11/72253440],
[[[1, 2], [2, 11], [10, 1], [14, 1]], 16621/3251404800],
[[[1, 2], [2, 13], [3, 1], [4, 3]], 1/2207239372800],
[[[1, 2], [2, 13], [3, 1], [6, 3]], 13423/66886041600],
[[[1, 2], [2, 13], [3, 1], [14, 1]], 1/1625702400],
[[[1, 2], [2, 13], [3, 2], [6, 2]], 101071/13243436236800],
[[[1, 2], [2, 13], [3, 2], [10, 1]], 1/6270566400],
[[[1, 2], [2, 13], [4, 1], [6, 3]], 281/716636160],
[[[1, 2], [2, 13], [4, 1], [7, 1]], 1/53648179200],
[[[1, 2], [2, 13], [4, 1], [14, 1]], 181/2477260800],
[[[1, 2], [2, 13], [4, 2], [5, 1]], 1/4644864000],
[[[1, 2], [2, 13], [4, 2], [6, 2]], 24653/217998950400],
[[[1, 2], [2, 13], [4, 2], [8, 1]], 20893/1961990553600],
[[[1, 2], [2, 13], [4, 2], [10, 1]], 16007/445906944000],
[[[1, 2], [2, 13], [4, 2], [12, 1]], 1/1393459200],
[[[1, 2], [2, 13], [4, 3], [6, 1]], 703/81749606400],
[[[1, 2], [2, 13], [5, 1], [6, 2]], 173/114960384000],
[[[1, 2], [2, 13], [5, 1], [8, 1]], 1/76640256000],
[[[1, 2], [2, 13], [5, 1], [10, 1]], 37/15925248000],
[[[1, 2], [2, 13], [6, 1], [7, 1]], 1/6706022400],
[[[1, 2], [2, 13], [6, 1], [14, 1]], 48709/245248819200],
[[[1, 2], [2, 13], [6, 1], [18, 1]], 127/9555148800],
[[[1, 2], [2, 13], [6, 2], [8, 1]], 19/1672151040],
[[[1, 2], [2, 13], [6, 2], [10, 1]], 5143/8360755200],
[[[1, 2], [2, 13], [8, 1], [10, 1]], 1/232243200],
[[[1, 2], [2, 15], [3, 1], [4, 2]], 337/44635285094400],
[[[1, 2], [2, 15], [3, 1], [5, 1]], 1/10461394944000],
[[[1, 2], [2, 15], [3, 1], [6, 2]], 4447/2207239372800],
[[[1, 2], [2, 15], [3, 1], [8, 1]], 31/11158821273600],
[[[1, 2], [2, 15], [3, 1], [10, 1]], 1009/83691159552000],
[[[1, 2], [2, 15], [3, 2], [6, 1]], 23/9415255449600],
[[[1, 2], [2, 15], [4, 1], [5, 1]], 31/9299017728000],
[[[1, 2], [2, 15], [4, 1], [6, 2]], 1141/140142182400],
[[[1, 2], [2, 15], [4, 1], [8, 1]], 10837/71416456151040],
[[[1, 2], [2, 15], [4, 1], [10, 1]], 5713/2452488192000],
[[[1, 2], [2, 15], [4, 1], [12, 1]], 31/5579410636800],
[[[1, 2], [2, 15], [4, 2], [6, 1]], 70121/59513713459200],
[[[1, 2], [2, 15], [5, 1], [6, 1]], 23/2615348736000],
[[[1, 2], [2, 15], [6, 1], [8, 1]], 71/735746457600],
[[[1, 2], [2, 15], [6, 1], [10, 1]], 12569/1471492915200],
[[[1, 2], [2, 17], [3, 1], [4, 1]], 103/803435131699200],
[[[1, 2], [2, 17], [3, 1], [6, 1]], 35011/8034351316992000],
[[[1, 2], [2, 17], [4, 1], [6, 1]], 28141/535623421132800],
[[[1, 3], [2, 2], [4, 3], [7, 2]], 1/301056],
[[[1, 3], [2, 2], [4, 3], [13, 1]], 1/39936],
[[[1, 3], [2, 2], [4, 3], [14, 2]], 1/1806336],
[[[1, 3], [2, 2], [4, 3], [26, 1]], 1/239616],
[[[1, 3], [2, 2], [7, 1], [13, 1]], 1/1456],
[[[1, 3], [2, 2], [7, 1], [14, 2]], 1/1568],
[[[1, 3], [2, 2], [7, 2], [14, 1]], 15/5488],
[[[1, 3], [2, 2], [11, 1], [16, 1]], 1/704],
[[[1, 3], [2, 2], [13, 1], [14, 1]], 1/728],
[[[1, 3], [2, 4], [3, 2], [14, 2]], 1/56448],
[[[1, 3], [2, 4], [3, 2], [26, 1]], 1/7488],
[[[1, 3], [2, 4], [4, 2], [7, 2]], 17/2408448],
[[[1, 3], [2, 4], [4, 2], [8, 3]], 1/16384],
[[[1, 3], [2, 4], [4, 2], [13, 1]], 17/319488],
[[[1, 3], [2, 4], [4, 2], [14, 2]], 9/200704],
[[[1, 3], [2, 4], [4, 2], [26, 1]], 9/26624],
[[[1, 3], [2, 4], [4, 3], [11, 1]], 1/405504],
[[[1, 3], [2, 4], [4, 3], [22, 1]], 19/1216512],
[[[1, 3], [2, 4], [4, 4], [5, 2]], 1/3686400],
[[[1, 3], [2, 4], [4, 4], [8, 2]], 1/16384],
[[[1, 3], [2, 4], [4, 4], [10, 2]], 1/614400],
[[[1, 3], [2, 4], [4, 6], [8, 1]], 1/786432],
[[[1, 3], [2, 4], [5, 1], [7, 2]], 1/376320],
[[[1, 3], [2, 4], [5, 1], [13, 1]], 1/49920],
[[[1, 3], [2, 4], [5, 1], [14, 2]], 1/15680],
[[[1, 3], [2, 4], [5, 1], [26, 1]], 1/2080],
[[[1, 3], [2, 4], [6, 2], [7, 2]], 1/112896],
[[[1, 3], [2, 4], [6, 2], [13, 1]], 1/14976],
[[[1, 3], [2, 4], [7, 1], [22, 1]], 1/1232],
[[[1, 3], [2, 4], [7, 2], [8, 1]], 1/150528],
[[[1, 3], [2, 4], [7, 2], [10, 1]], 1/94080],
[[[1, 3], [2, 4], [8, 1], [13, 1]], 1/19968],
[[[1, 3], [2, 4], [8, 1], [14, 2]], 1/43008],
[[[1, 3], [2, 4], [8, 1], [26, 1]], 7/39936],
[[[1, 3], [2, 4], [10, 1], [13, 1]], 1/12480],
[[[1, 3], [2, 4], [10, 1], [14, 2]], 1/6272],
[[[1, 3], [2, 4], [10, 1], [26, 1]], 1/4160],
[[[1, 3], [2, 4], [10, 2], [16, 1]], 1/12800],
[[[1, 3], [2, 4], [14, 1], [22, 1]], 1/2464],
[[[1, 3], [2, 6], [3, 1], [7, 2]], 1/27095040],
[[[1, 3], [2, 6], [3, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 6], [3, 1], [13, 1]], 1/3594240],
[[[1, 3], [2, 6], [3, 1], [14, 2]], 1/225792],
[[[1, 3], [2, 6], [3, 1], [26, 1]], 1/29952],
[[[1, 3], [2, 6], [3, 2], [6, 5]], 59/839808],
[[[1, 3], [2, 6], [3, 2], [11, 1]], 1/9123840],
[[[1, 3], [2, 6], [3, 2], [22, 1]], 1/25344],
[[[1, 3], [2, 6], [3, 3], [6, 4]], 5/46656],
[[[1, 3], [2, 6], [4, 1], [7, 2]], 1/6021120],
[[[1, 3], [2, 6], [4, 1], [8, 3]], 1/32768],
[[[1, 3], [2, 6], [4, 1], [10, 3]], 9/128000],
[[[1, 3], [2, 6], [4, 1], [13, 1]], 1/798720],
[[[1, 3], [2, 6], [4, 1], [14, 2]], 2893/7225344],
[[[1, 3], [2, 6], [4, 1], [26, 1]], 205/958464],
[[[1, 3], [2, 6], [4, 2], [6, 5]], 1/5971968],
[[[1, 3], [2, 6], [4, 2], [22, 1]], 97/270336],
[[[1, 3], [2, 6], [4, 3], [6, 4]], 295/71663616],
[[[1, 3], [2, 6], [4, 3], [8, 2]], 7/12288],
[[[1, 3], [2, 6], [4, 3], [10, 2]], 3889/22118400],
[[[1, 3], [2, 6], [4, 4], [6, 3]], 11/3981312],
[[[1, 3], [2, 6], [4, 4], [14, 1]], 55/1376256],
[[[1, 3], [2, 6], [4, 5], [6, 2]], 1/262144],
[[[1, 3], [2, 6], [4, 5], [8, 1]], 163/4718592],
[[[1, 3], [2, 6], [4, 5], [10, 1]], 7/393216],
[[[1, 3], [2, 6], [4, 5], [12, 1]], 1/73728],
[[[1, 3], [2, 6], [4, 6], [6, 1]], 1/2359296],
[[[1, 3], [2, 6], [5, 1], [6, 5]], 1/466560],
[[[1, 3], [2, 6], [5, 1], [22, 1]], 1/7040],
[[[1, 3], [2, 6], [6, 1], [7, 2]], 1/4515840],
[[[1, 3], [2, 6], [6, 1], [10, 3]], 1/48000],
[[[1, 3], [2, 6], [6, 1], [13, 1]], 1/599040],
[[[1, 3], [2, 6], [6, 1], [14, 2]], 101/451584],
[[[1, 3], [2, 6], [6, 1], [26, 1]], 5/59904],
[[[1, 3], [2, 6], [6, 2], [22, 1]], 1/13824],
[[[1, 3], [2, 6], [6, 3], [10, 2]], 1/259200],
[[[1, 3], [2, 6], [6, 3], [16, 1]], 1/41472],
[[[1, 3], [2, 6], [6, 4], [7, 1]], 1/217728],
[[[1, 3], [2, 6], [6, 4], [14, 1]], 1/435456],
[[[1, 3], [2, 6], [6, 4], [18, 1]], 1/62208],
[[[1, 3], [2, 6], [7, 1], [10, 2]], 1/11200],
[[[1, 3], [2, 6], [8, 1], [11, 1]], 1/675840],
[[[1, 3], [2, 6], [8, 1], [22, 1]], 25/202752],
[[[1, 3], [2, 6], [8, 2], [14, 1]], 1/86016],
[[[1, 3], [2, 6], [10, 1], [22, 1]], 1/3840],
[[[1, 3], [2, 6], [10, 2], [14, 1]], 9/44800],
[[[1, 3], [2, 6], [14, 1], [16, 1]], 1/10752],
[[[1, 3], [2, 8], [3, 1], [4, 5]], 1/53084160],
[[[1, 3], [2, 8], [3, 1], [6, 5]], 25/746496],
[[[1, 3], [2, 8], [3, 1], [11, 1]], 1/681246720],
[[[1, 3], [2, 8], [3, 1], [22, 1]], 23/3041280],
[[[1, 3], [2, 8], [3, 2], [6, 4]], 485/3359232],
[[[1, 3], [2, 8], [3, 2], [10, 2]], 1/345600],
[[[1, 3], [2, 8], [3, 3], [6, 3]], 1/69120],
[[[1, 3], [2, 8], [4, 1], [6, 5]], 61/8957952],
[[[1, 3], [2, 8], [4, 1], [11, 1]], 1/56770560],
[[[1, 3], [2, 8], [4, 1], [22, 1]], 367/4866048],
[[[1, 3], [2, 8], [4, 2], [5, 2]], 1/516096000],
[[[1, 3], [2, 8], [4, 2], [6, 4]], 1397/47775744],
[[[1, 3], [2, 8], [4, 2], [8, 2]], 613/5898240],
[[[1, 3], [2, 8], [4, 2], [10, 2]], 103/737280],
[[[1, 3], [2, 8], [4, 2], [16, 1]], 1/737280],
[[[1, 3], [2, 8], [4, 3], [6, 3]], 9691/358318080],
[[[1, 3], [2, 8], [4, 3], [7, 1]], 1/1290240],
[[[1, 3], [2, 8], [4, 3], [14, 1]], 38557/650280960],
[[[1, 3], [2, 8], [4, 4], [6, 2]], 287/21233664],
[[[1, 3], [2, 8], [4, 4], [8, 1]], 649/70778880],
[[[1, 3], [2, 8], [4, 4], [10, 1]], 1067/88473600],
[[[1, 3], [2, 8], [4, 4], [12, 1]], 1/147456],
[[[1, 3], [2, 8], [4, 5], [6, 1]], 11/2359296],
[[[1, 3], [2, 8], [5, 1], [6, 4]], 23/3732480],
[[[1, 3], [2, 8], [5, 1], [10, 2]], 57/512000],
[[[1, 3], [2, 8], [5, 2], [10, 1]], 1/230400],
[[[1, 3], [2, 8], [6, 1], [22, 1]], 613/12165120],
[[[1, 3], [2, 8], [6, 2], [8, 2]], 1/442368],
[[[1, 3], [2, 8], [6, 2], [10, 2]], 41/691200],
[[[1, 3], [2, 8], [6, 2], [16, 1]], 1/110592],
[[[1, 3], [2, 8], [6, 3], [7, 1]], 1/108864],
[[[1, 3], [2, 8], [6, 3], [14, 1]], 29/580608],
[[[1, 3], [2, 8], [6, 3], [18, 1]], 97/995328],
[[[1, 3], [2, 8], [6, 4], [8, 1]], 61/11943936],
[[[1, 3], [2, 8], [6, 4], [10, 1]], 23/2488320],
[[[1, 3], [2, 8], [7, 1], [14, 1]], 55/4816896],
[[[1, 3], [2, 8], [8, 1], [10, 2]], 89/7372800],
[[[1, 3], [2, 8], [8, 2], [10, 1]], 1/368640],
[[[1, 3], [2, 8], [10, 1], [16, 1]], 1/153600],
[[[1, 3], [2, 10], [3, 1], [4, 4]], 1/743178240],
[[[1, 3], [2, 10], [3, 1], [6, 4]], 101/3732480],
[[[1, 3], [2, 10], [3, 1], [10, 2]], 41/64512000],
[[[1, 3], [2, 10], [3, 2], [6, 3]], 17713/1074954240],
[[[1, 3], [2, 10], [3, 2], [14, 1]], 1/4515840],
[[[1, 3], [2, 10], [3, 3], [6, 2]], 1/6967296],
[[[1, 3], [2, 10], [4, 1], [6, 4]], 24919/1433272320],
[[[1, 3], [2, 10], [4, 1], [8, 2]], 11/11796480],
[[[1, 3], [2, 10], [4, 1], [10, 2]], 82421/3096576000],
[[[1, 3], [2, 10], [4, 1], [16, 1]], 1/10321920],
[[[1, 3], [2, 10], [4, 2], [6, 3]], 6319/238878720],
[[[1, 3], [2, 10], [4, 2], [7, 1]], 1/18063360],
[[[1, 3], [2, 10], [4, 2], [14, 1]], 103/6422528],
[[[1, 3], [2, 10], [4, 3], [5, 1]], 1/7372800],
[[[1, 3], [2, 10], [4, 3], [6, 2]], 164617/13377208320],
[[[1, 3], [2, 10], [4, 3], [8, 1]], 4079/990904320],
[[[1, 3], [2, 10], [4, 3], [10, 1]], 25627/4777574400],
[[[1, 3], [2, 10], [4, 3], [12, 1]], 1/1474560],
[[[1, 3], [2, 10], [4, 4], [6, 1]], 1/645120],
[[[1, 3], [2, 10], [5, 1], [6, 3]], 11/9331200],
[[[1, 3], [2, 10], [5, 1], [14, 1]], 1/1254400],
[[[1, 3], [2, 10], [6, 1], [8, 2]], 1/4423680],
[[[1, 3], [2, 10], [6, 1], [10, 2]], 191/6144000],
[[[1, 3], [2, 10], [6, 1], [16, 1]], 1/3870720],
[[[1, 3], [2, 10], [6, 2], [7, 1]], 1/1451520],
[[[1, 3], [2, 10], [6, 2], [14, 1]], 1343/46448640],
[[[1, 3], [2, 10], [6, 2], [18, 1]], 3781/278691840],
[[[1, 3], [2, 10], [6, 3], [8, 1]], 329/119439360],
[[[1, 3], [2, 10], [6, 3], [10, 1]], 2507/99532800],
[[[1, 3], [2, 10], [7, 1], [10, 1]], 1/2822400],
[[[1, 3], [2, 10], [8, 1], [14, 1]], 53/30965760],
[[[1, 3], [2, 10], [10, 1], [14, 1]], 8693/361267200],
[[[1, 3], [2, 12], [3, 1], [4, 3]], 173/33443020800],
[[[1, 3], [2, 12], [3, 1], [6, 3]], 8299/3344302080],
[[[1, 3], [2, 12], [3, 1], [14, 1]], 41/1625702400],
[[[1, 3], [2, 12], [3, 2], [6, 2]], 335381/1203948748800],
[[[1, 3], [2, 12], [3, 2], [10, 1]], 1/149299200],
[[[1, 3], [2, 12], [3, 3], [6, 1]], 1/836075520],
[[[1, 3], [2, 12], [4, 1], [6, 3]], 37153/10032906240],
[[[1, 3], [2, 12], [4, 1], [7, 1]], 1/541900800],
[[[1, 3], [2, 12], [4, 1], [14, 1]], 14563/13005619200],
[[[1, 3], [2, 12], [4, 2], [5, 1]], 47/4644864000],
[[[1, 3], [2, 12], [4, 2], [6, 2]], 34273/13377208320],
[[[1, 3], [2, 12], [4, 2], [8, 1]], 22009/59454259200],
[[[1, 3], [2, 12], [4, 2], [10, 1]], 7/7077888],
[[[1, 3], [2, 12], [4, 2], [12, 1]], 31/1393459200],
[[[1, 3], [2, 12], [4, 3], [6, 1]], 187493/441447874560],
[[[1, 3], [2, 12], [5, 1], [6, 2]], 11/209018880],
[[[1, 3], [2, 12], [5, 1], [8, 1]], 1/2322432000],
[[[1, 3], [2, 12], [5, 1], [10, 1]], 1699/24772608000],
[[[1, 3], [2, 12], [6, 1], [7, 1]], 1/121927680],
[[[1, 3], [2, 12], [6, 1], [14, 1]], 6547/3901685760],
[[[1, 3], [2, 12], [6, 1], [18, 1]], 157/928972800],
[[[1, 3], [2, 12], [6, 2], [8, 1]], 47/278691840],
[[[1, 3], [2, 12], [6, 2], [10, 1]], 59/14745600],
[[[1, 3], [2, 12], [8, 1], [10, 1]], 103/1393459200],
[[[1, 3], [2, 14], [3, 1], [4, 2]], 91/210213273600],
[[[1, 3], [2, 14], [3, 1], [5, 1]], 1/114960384000],
[[[1, 3], [2, 14], [3, 1], [6, 2]], 68017/1471492915200],
[[[1, 3], [2, 14], [3, 1], [8, 1]], 59/619934515200],
[[[1, 3], [2, 14], [3, 1], [10, 1]], 13/19160064000],
[[[1, 3], [2, 14], [3, 2], [4, 1]], 167/8369115955200],
[[[1, 3], [2, 14], [3, 2], [6, 1]], 793/3310859059200],
[[[1, 3], [2, 14], [4, 1], [5, 1]], 1297/6974263296000],
[[[1, 3], [2, 14], [4, 1], [6, 2]], 106567/706316599296],
[[[1, 3], [2, 14], [4, 1], [8, 1]], 18421/3923981107200],
[[[1, 3], [2, 14], [4, 1], [10, 1]], 9649/191102976000],
[[[1, 3], [2, 14], [4, 1], [12, 1]], 2389/12553673932800],
[[[1, 3], [2, 14], [4, 2], [6, 1]], 3613/76441190400],
[[[1, 3], [2, 14], [5, 1], [6, 1]], 31/57480192000],
[[[1, 3], [2, 14], [6, 1], [8, 1]], 449/183936614400],
[[[1, 3], [2, 14], [6, 1], [10, 1]], 260137/2452488192000],
[[[1, 3], [2, 16], [3, 1], [4, 1]], 331/49594761216000],
[[[1, 3], [2, 16], [3, 1], [6, 1]], 182267/1071246842265600],
[[[1, 3], [2, 16], [4, 1], [6, 1]], 2551111/1606870263398400],
[[[1, 3], [3, 1], [4, 4], [11, 1]], 1/405504],
[[[1, 3], [3, 1], [7, 2], [9, 1]], 1/1764],
[[[1, 3], [3, 1], [8, 2], [11, 1]], 1/8448],
[[[1, 3], [3, 1], [9, 1], [13, 1]], 1/234],
[[[1, 3], [3, 2], [5, 1], [9, 2]], 1/810],
[[[1, 3], [3, 2], [9, 1], [11, 1]], 1/594],
[[[1, 3], [4, 2], [5, 1], [7, 2]], 1/31360],
[[[1, 3], [4, 2], [5, 1], [13, 1]], 1/4160],
[[[1, 3], [4, 2], [7, 2], [12, 1]], 1/9408],
[[[1, 3], [4, 2], [12, 1], [13, 1]], 1/1248],
[[[1, 4], [2, 1], [3, 3], [9, 2]], 1/972],
[[[1, 4], [2, 1], [4, 3], [5, 3]], 1/64000],
[[[1, 4], [2, 1], [4, 3], [7, 2]], 13/602112],
[[[1, 4], [2, 1], [4, 3], [13, 1]], 1/6144],
[[[1, 4], [2, 1], [4, 4], [11, 1]], 1/270336],
[[[1, 4], [2, 1], [4, 5], [5, 2]], 1/2457600],
[[[1, 4], [2, 1], [7, 1], [13, 1]], 1/728],
[[[1, 4], [2, 1], [7, 2], [14, 1]], 1/1568],
[[[1, 4], [2, 1], [8, 2], [11, 1]], 1/5632],
[[[1, 4], [2, 1], [11, 1], [16, 1]], 1/2112],
[[[1, 4], [2, 3], [3, 2], [14, 2]], 1/112896],
[[[1, 4], [2, 3], [3, 2], [26, 1]], 1/14976],
[[[1, 4], [2, 3], [4, 2], [7, 2]], 9/200704],
[[[1, 4], [2, 3], [4, 2], [8, 3]], 1/16384],
[[[1, 4], [2, 3], [4, 2], [13, 1]], 9/26624],
[[[1, 4], [2, 3], [4, 2], [14, 2]], 17/2408448],
[[[1, 4], [2, 3], [4, 2], [26, 1]], 17/319488],
[[[1, 4], [2, 3], [4, 3], [11, 1]], 19/1216512],
[[[1, 4], [2, 3], [4, 3], [22, 1]], 1/405504],
[[[1, 4], [2, 3], [4, 4], [5, 2]], 1/614400],
[[[1, 4], [2, 3], [4, 4], [8, 2]], 1/16384],
[[[1, 4], [2, 3], [4, 4], [10, 2]], 1/3686400],
[[[1, 4], [2, 3], [4, 6], [8, 1]], 1/786432],
[[[1, 4], [2, 3], [5, 1], [7, 2]], 1/6272],
[[[1, 4], [2, 3], [5, 1], [13, 1]], 1/4160],
[[[1, 4], [2, 3], [5, 1], [14, 2]], 1/94080],
[[[1, 4], [2, 3], [5, 1], [26, 1]], 1/12480],
[[[1, 4], [2, 3], [5, 2], [16, 1]], 1/12800],
[[[1, 4], [2, 3], [6, 2], [7, 2]], 1/56448],
[[[1, 4], [2, 3], [6, 2], [13, 1]], 1/7488],
[[[1, 4], [2, 3], [7, 1], [11, 1]], 1/2464],
[[[1, 4], [2, 3], [7, 2], [8, 1]], 1/43008],
[[[1, 4], [2, 3], [7, 2], [10, 1]], 1/15680],
[[[1, 4], [2, 3], [8, 1], [13, 1]], 7/39936],
[[[1, 4], [2, 3], [8, 1], [14, 2]], 1/150528],
[[[1, 4], [2, 3], [8, 1], [26, 1]], 1/19968],
[[[1, 4], [2, 3], [10, 1], [13, 1]], 1/2080],
[[[1, 4], [2, 3], [10, 1], [14, 2]], 1/376320],
[[[1, 4], [2, 3], [10, 1], [26, 1]], 1/49920],
[[[1, 4], [2, 3], [11, 1], [14, 1]], 1/1232],
[[[1, 4], [2, 5], [3, 1], [4, 6]], 1/1769472],
[[[1, 4], [2, 5], [3, 1], [7, 2]], 1/903168],
[[[1, 4], [2, 5], [3, 1], [10, 3]], 1/48000],
[[[1, 4], [2, 5], [3, 1], [13, 1]], 1/119808],
[[[1, 4], [2, 5], [3, 1], [14, 2]], 19/1354752],
[[[1, 4], [2, 5], [3, 1], [26, 1]], 19/179712],
[[[1, 4], [2, 5], [3, 2], [4, 5]], 1/10616832],
[[[1, 4], [2, 5], [3, 2], [11, 1]], 1/304128],
[[[1, 4], [2, 5], [3, 2], [22, 1]], 7/76032],
[[[1, 4], [2, 5], [3, 3], [6, 4]], 23/186624],
[[[1, 4], [2, 5], [3, 4], [6, 3]], 1/62208],
[[[1, 4], [2, 5], [4, 1], [5, 3]], 1/768000],
[[[1, 4], [2, 5], [4, 1], [7, 2]], 41/12042240],
[[[1, 4], [2, 5], [4, 1], [8, 3]], 1/98304],
[[[1, 4], [2, 5], [4, 1], [10, 3]], 1/64000],
[[[1, 4], [2, 5], [4, 1], [13, 1]], 41/1597440],
[[[1, 4], [2, 5], [4, 1], [14, 2]], 37/200704],
[[[1, 4], [2, 5], [4, 1], [26, 1]], 5/26624],
[[[1, 4], [2, 5], [4, 2], [11, 1]], 17/540672],
[[[1, 4], [2, 5], [4, 2], [22, 1]], 31/147456],
[[[1, 4], [2, 5], [4, 3], [5, 2]], 53/14745600],
[[[1, 4], [2, 5], [4, 3], [6, 4]], 1/71663616],
[[[1, 4], [2, 5], [4, 3], [8, 2]], 173/196608],
[[[1, 4], [2, 5], [4, 3], [10, 2]], 17/737280],
[[[1, 4], [2, 5], [4, 3], [16, 1]], 1/12288],
[[[1, 4], [2, 5], [4, 4], [6, 3]], 29/23887872],
[[[1, 4], [2, 5], [4, 4], [7, 1]], 25/1032192],
[[[1, 4], [2, 5], [4, 4], [14, 1]], 13/442368],
[[[1, 4], [2, 5], [4, 5], [5, 1]], 1/2949120],
[[[1, 4], [2, 5], [4, 5], [6, 2]], 1/1769472],
[[[1, 4], [2, 5], [4, 5], [8, 1]], 233/4718592],
[[[1, 4], [2, 5], [4, 5], [10, 1]], 1/163840],
[[[1, 4], [2, 5], [4, 5], [12, 1]], 1/73728],
[[[1, 4], [2, 5], [4, 6], [6, 1]], 1/1769472],
[[[1, 4], [2, 5], [5, 1], [11, 1]], 1/84480],
[[[1, 4], [2, 5], [5, 1], [22, 1]], 19/63360],
[[[1, 4], [2, 5], [5, 2], [7, 1]], 1/268800],
[[[1, 4], [2, 5], [6, 1], [7, 2]], 1/225792],
[[[1, 4], [2, 5], [6, 1], [10, 3]], 1/576000],
[[[1, 4], [2, 5], [6, 1], [13, 1]], 1/29952],
[[[1, 4], [2, 5], [6, 1], [14, 2]], 109/1806336],
[[[1, 4], [2, 5], [6, 1], [26, 1]], 1/18432],
[[[1, 4], [2, 5], [6, 2], [11, 1]], 1/25344],
[[[1, 4], [2, 5], [6, 2], [22, 1]], 13/608256],
[[[1, 4], [2, 5], [6, 3], [10, 2]], 1/3110400],
[[[1, 4], [2, 5], [7, 1], [10, 2]], 1/22400],
[[[1, 4], [2, 5], [8, 1], [11, 1]], 61/2027520],
[[[1, 4], [2, 5], [8, 1], [22, 1]], 23/202752],
[[[1, 4], [2, 5], [10, 1], [11, 1]], 1/21120],
[[[1, 4], [2, 5], [10, 1], [22, 1]], 37/253440],
[[[1, 4], [2, 5], [10, 2], [14, 1]], 19/268800],
[[[1, 4], [2, 5], [14, 1], [16, 1]], 1/10752],
[[[1, 4], [2, 7], [3, 1], [4, 5]], 1/3538944],
[[[1, 4], [2, 7], [3, 1], [6, 5]], 43/6718464],
[[[1, 4], [2, 7], [3, 1], [11, 1]], 1/4055040],
[[[1, 4], [2, 7], [3, 1], [22, 1]], 37/912384],
[[[1, 4], [2, 7], [3, 2], [6, 4]], 983/4478976],
[[[1, 4], [2, 7], [3, 2], [10, 2]], 7/691200],
[[[1, 4], [2, 7], [3, 3], [6, 3]], 5/41472],
[[[1, 4], [2, 7], [3, 3], [9, 1]], 1/14929920],
[[[1, 4], [2, 7], [3, 4], [6, 2]], 1/497664],
[[[1, 4], [2, 7], [4, 1], [6, 5]], 7/8957952],
[[[1, 4], [2, 7], [4, 1], [11, 1]], 127/170311680],
[[[1, 4], [2, 7], [4, 1], [22, 1]], 265/1622016],
[[[1, 4], [2, 7], [4, 2], [5, 2]], 1/12288000],
[[[1, 4], [2, 7], [4, 2], [6, 4]], 13/1179648],
[[[1, 4], [2, 7], [4, 2], [8, 2]], 2083/5898240],
[[[1, 4], [2, 7], [4, 2], [10, 2]], 5917/29491200],
[[[1, 4], [2, 7], [4, 2], [16, 1]], 1/49152],
[[[1, 4], [2, 7], [4, 3], [6, 3]], 1261/35831808],
[[[1, 4], [2, 7], [4, 3], [7, 1]], 1/86016],
[[[1, 4], [2, 7], [4, 3], [14, 1]], 5671/30965760],
[[[1, 4], [2, 7], [4, 4], [5, 1]], 1/245760],
[[[1, 4], [2, 7], [4, 4], [6, 2]], 7247/254803968],
[[[1, 4], [2, 7], [4, 4], [8, 1]], 38057/212336640],
[[[1, 4], [2, 7], [4, 4], [10, 1]], 31643/353894400],
[[[1, 4], [2, 7], [4, 4], [12, 1]], 13/442368],
[[[1, 4], [2, 7], [4, 5], [6, 1]], 101/7077888],
[[[1, 4], [2, 7], [5, 1], [6, 4]], 31/3732480],
[[[1, 4], [2, 7], [5, 1], [10, 2]], 1/4608],
[[[1, 4], [2, 7], [5, 2], [8, 1]], 1/12288000],
[[[1, 4], [2, 7], [5, 2], [10, 1]], 17/307200],
[[[1, 4], [2, 7], [6, 1], [11, 1]], 1/1013760],
[[[1, 4], [2, 7], [6, 1], [22, 1]], 3161/48660480],
[[[1, 4], [2, 7], [6, 2], [8, 2]], 1/1769472],
[[[1, 4], [2, 7], [6, 2], [10, 2]], 41/1658880],
[[[1, 4], [2, 7], [6, 2], [16, 1]], 1/55296],
[[[1, 4], [2, 7], [6, 3], [7, 1]], 1/72576],
[[[1, 4], [2, 7], [6, 3], [14, 1]], 41/2322432],
[[[1, 4], [2, 7], [6, 3], [18, 1]], 53/995328],
[[[1, 4], [2, 7], [6, 4], [8, 1]], 1/1327104],
[[[1, 4], [2, 7], [6, 4], [10, 1]], 13/7464960],
[[[1, 4], [2, 7], [7, 1], [14, 1]], 13123/216760320],
[[[1, 4], [2, 7], [8, 1], [10, 2]], 31/1843200],
[[[1, 4], [2, 7], [8, 2], [10, 1]], 1/491520],
[[[1, 4], [2, 7], [10, 1], [16, 1]], 1/46080],
[[[1, 4], [2, 9], [3, 1], [4, 4]], 47/106168320],
[[[1, 4], [2, 9], [3, 1], [6, 4]], 25841/537477120],
[[[1, 4], [2, 9], [3, 1], [10, 2]], 847/165888000],
[[[1, 4], [2, 9], [3, 2], [4, 3]], 1/1486356480],
[[[1, 4], [2, 9], [3, 2], [6, 3]], 33731/358318080],
[[[1, 4], [2, 9], [3, 2], [9, 1]], 1/1114767360],
[[[1, 4], [2, 9], [3, 2], [14, 1]], 13/6773760],
[[[1, 4], [2, 9], [3, 3], [6, 2]], 103/39813120],
[[[1, 4], [2, 9], [4, 1], [5, 2]], 1/825753600],
[[[1, 4], [2, 9], [4, 1], [6, 4]], 5441/286654464],
[[[1, 4], [2, 9], [4, 1], [8, 2]], 17/2211840],
[[[1, 4], [2, 9], [4, 1], [10, 2]], 5269/73728000],
[[[1, 4], [2, 9], [4, 1], [16, 1]], 1/737280],
[[[1, 4], [2, 9], [4, 2], [6, 3]], 10039/159252480],
[[[1, 4], [2, 9], [4, 2], [7, 1]], 5/3211264],
[[[1, 4], [2, 9], [4, 2], [14, 1]], 23507/289013760],
[[[1, 4], [2, 9], [4, 3], [5, 1]], 953/412876800],
[[[1, 4], [2, 9], [4, 3], [6, 2]], 61643/955514880],
[[[1, 4], [2, 9], [4, 3], [8, 1]], 6163/110100480],
[[[1, 4], [2, 9], [4, 3], [10, 1]], 19711/371589120],
[[[1, 4], [2, 9], [4, 3], [12, 1]], 1/163840],
[[[1, 4], [2, 9], [4, 4], [6, 1]], 196673/8918138880],
[[[1, 4], [2, 9], [5, 1], [6, 3]], 121/18662400],
[[[1, 4], [2, 9], [5, 1], [7, 1]], 1/1445068800],
[[[1, 4], [2, 9], [5, 1], [14, 1]], 29/4233600],
[[[1, 4], [2, 9], [6, 1], [8, 2]], 1/1769472],
[[[1, 4], [2, 9], [6, 1], [10, 2]], 27499/663552000],
[[[1, 4], [2, 9], [6, 1], [16, 1]], 1/552960],
[[[1, 4], [2, 9], [6, 2], [7, 1]], 1/193536],
[[[1, 4], [2, 9], [6, 2], [14, 1]], 2587/61931520],
[[[1, 4], [2, 9], [6, 2], [18, 1]], 521/15925248],
[[[1, 4], [2, 9], [6, 3], [8, 1]], 19/3317760],
[[[1, 4], [2, 9], [6, 3], [10, 1]], 24377/1194393600],
[[[1, 4], [2, 9], [7, 1], [10, 1]], 1/268800],
[[[1, 4], [2, 9], [8, 1], [14, 1]], 1663/216760320],
[[[1, 4], [2, 9], [10, 1], [14, 1]], 102433/2167603200],
[[[1, 4], [2, 11], [3, 1], [4, 3]], 47/318504960],
[[[1, 4], [2, 11], [3, 1], [6, 3]], 389167/30098718720],
[[[1, 4], [2, 11], [3, 1], [14, 1]], 353/975421440],
[[[1, 4], [2, 11], [3, 2], [4, 2]], 53/4180377600],
[[[1, 4], [2, 11], [3, 2], [6, 2]], 93181/26754416640],
[[[1, 4], [2, 11], [3, 2], [10, 1]], 199/2090188800],
[[[1, 4], [2, 11], [3, 3], [6, 1]], 17/418037760],
[[[1, 4], [2, 11], [4, 1], [6, 3]], 9821/716636160],
[[[1, 4], [2, 11], [4, 1], [7, 1]], 1/15482880],
[[[1, 4], [2, 11], [4, 1], [14, 1]], 2101/289013760],
[[[1, 4], [2, 11], [4, 2], [5, 1]], 133/663552000],
[[[1, 4], [2, 11], [4, 2], [6, 2]], 3857/212336640],
[[[1, 4], [2, 11], [4, 2], [8, 1]], 55801/11890851840],
[[[1, 4], [2, 11], [4, 2], [10, 1]], 107003/11147673600],
[[[1, 4], [2, 11], [4, 2], [12, 1]], 619/2090188800],
[[[1, 4], [2, 11], [4, 3], [6, 1]], 274699/40131624960],
[[[1, 4], [2, 11], [5, 1], [6, 2]], 61/99532800],
[[[1, 4], [2, 11], [5, 1], [8, 1]], 1/154828800],
[[[1, 4], [2, 11], [5, 1], [10, 1]], 7271/8918138880],
[[[1, 4], [2, 11], [6, 1], [7, 1]], 1/6773760],
[[[1, 4], [2, 11], [6, 1], [14, 1]], 3817/578027520],
[[[1, 4], [2, 11], [6, 1], [18, 1]], 11657/11147673600],
[[[1, 4], [2, 11], [6, 2], [8, 1]], 13/12386304],
[[[1, 4], [2, 11], [6, 2], [10, 1]], 12683/1114767360],
[[[1, 4], [2, 11], [8, 1], [10, 1]], 197/348364800],
[[[1, 4], [2, 13], [3, 1], [4, 2]], 29/2786918400],
[[[1, 4], [2, 13], [3, 1], [5, 1]], 1/3483648000],
[[[1, 4], [2, 13], [3, 1], [6, 2]], 163477/331085905920],
[[[1, 4], [2, 13], [3, 1], [8, 1]], 281/183936614400],
[[[1, 4], [2, 13], [3, 1], [10, 1]], 127/8957952000],
[[[1, 4], [2, 13], [3, 2], [4, 1]], 281/275904921600],
[[[1, 4], [2, 13], [3, 2], [6, 1]], 523/68976230400],
[[[1, 4], [2, 13], [4, 1], [5, 1]], 421/76640256000],
[[[1, 4], [2, 13], [4, 1], [6, 2]], 50153/40131624960],
[[[1, 4], [2, 13], [4, 1], [8, 1]], 4973/71345111040],
[[[1, 4], [2, 13], [4, 1], [10, 1]], 3179/6193152000],
[[[1, 4], [2, 13], [4, 1], [12, 1]], 421/137952460800],
[[[1, 4], [2, 13], [4, 2], [6, 1]], 58159/81749606400],
[[[1, 4], [2, 13], [5, 1], [6, 1]], 677/57480192000],
[[[1, 4], [2, 13], [6, 1], [8, 1]], 599/20437401600],
[[[1, 4], [2, 13], [6, 1], [10, 1]], 2472049/3678732288000],
[[[1, 4], [2, 15], [3, 1], [4, 1]], 18353/89270570188800],
[[[1, 4], [2, 15], [3, 1], [6, 1]], 15825751/4820610790195200],
[[[1, 4], [2, 15], [4, 1], [6, 1]], 59527/2522559283200],
[[[1, 5], [2, 2], [3, 2], [4, 6]], 1/7077888],
[[[1, 5], [2, 2], [3, 2], [7, 2]], 1/12544],
[[[1, 5], [2, 2], [3, 2], [9, 2]], 1/1296],
[[[1, 5], [2, 2], [3, 2], [13, 1]], 1/14976],
[[[1, 5], [2, 2], [3, 3], [11, 1]], 1/38016],
[[[1, 5], [2, 2], [3, 4], [16, 1]], 1/124416],
[[[1, 5], [2, 2], [4, 2], [5, 3]], 13/128000],
[[[1, 5], [2, 2], [4, 2], [7, 2]], 79/1204224],
[[[1, 5], [2, 2], [4, 2], [8, 3]], 1/16384],
[[[1, 5], [2, 2], [4, 2], [13, 1]], 79/159744],
[[[1, 5], [2, 2], [4, 3], [11, 1]], 41/405504],
[[[1, 5], [2, 2], [4, 4], [5, 2]], 149/4915200],
[[[1, 5], [2, 2], [4, 5], [7, 1]], 1/688128],
[[[1, 5], [2, 2], [4, 6], [5, 1]], 1/1966080],
[[[1, 5], [2, 2], [4, 6], [8, 1]], 1/786432],
[[[1, 5], [2, 2], [5, 1], [7, 2]], 27/62720],
[[[1, 5], [2, 2], [5, 1], [13, 1]], 3/8320],
[[[1, 5], [2, 2], [5, 2], [8, 2]], 1/102400],
[[[1, 5], [2, 2], [5, 2], [16, 1]], 1/6400],
[[[1, 5], [2, 2], [6, 2], [7, 2]], 1/338688],
[[[1, 5], [2, 2], [6, 2], [13, 1]], 1/44928],
[[[1, 5], [2, 2], [7, 1], [11, 1]], 1/1056],
[[[1, 5], [2, 2], [7, 2], [8, 1]], 1/50176],
[[[1, 5], [2, 2], [7, 2], [10, 1]], 1/94080],
[[[1, 5], [2, 2], [8, 1], [13, 1]], 1/6656],
[[[1, 5], [2, 2], [8, 1], [14, 2]], 1/3010560],
[[[1, 5], [2, 2], [8, 1], [26, 1]], 1/399360],
[[[1, 5], [2, 2], [10, 1], [13, 1]], 1/12480],
[[[1, 5], [2, 2], [11, 1], [14, 1]], 1/3696],
[[[1, 5], [2, 4], [3, 1], [4, 6]], 1/1769472],
[[[1, 5], [2, 4], [3, 1], [5, 3]], 1/576000],
[[[1, 5], [2, 4], [3, 1], [7, 2]], 109/1806336],
[[[1, 5], [2, 4], [3, 1], [13, 1]], 1/18432],
[[[1, 5], [2, 4], [3, 1], [14, 2]], 1/225792],
[[[1, 5], [2, 4], [3, 1], [26, 1]], 1/29952],
[[[1, 5], [2, 4], [3, 2], [4, 5]], 1/1769472],
[[[1, 5], [2, 4], [3, 2], [11, 1]], 13/608256],
[[[1, 5], [2, 4], [3, 2], [22, 1]], 1/25344],
[[[1, 5], [2, 4], [3, 3], [4, 4]], 29/23887872],
[[[1, 5], [2, 4], [3, 3], [5, 2]], 1/3110400],
[[[1, 5], [2, 4], [3, 3], [6, 4]], 1/62208],
[[[1, 5], [2, 4], [3, 4], [4, 3]], 1/71663616],
[[[1, 5], [2, 4], [3, 4], [6, 3]], 23/186624],
[[[1, 5], [2, 4], [4, 1], [5, 3]], 1/64000],
[[[1, 5], [2, 4], [4, 1], [7, 2]], 37/200704],
[[[1, 5], [2, 4], [4, 1], [8, 3]], 1/98304],
[[[1, 5], [2, 4], [4, 1], [10, 3]], 1/768000],
[[[1, 5], [2, 4], [4, 1], [13, 1]], 5/26624],
[[[1, 5], [2, 4], [4, 1], [14, 2]], 41/12042240],
[[[1, 5], [2, 4], [4, 1], [26, 1]], 41/1597440],
[[[1, 5], [2, 4], [4, 2], [11, 1]], 31/147456],
[[[1, 5], [2, 4], [4, 2], [22, 1]], 17/540672],
[[[1, 5], [2, 4], [4, 3], [5, 2]], 17/737280],
[[[1, 5], [2, 4], [4, 3], [8, 2]], 173/196608],
[[[1, 5], [2, 4], [4, 3], [10, 2]], 53/14745600],
[[[1, 5], [2, 4], [4, 3], [16, 1]], 1/12288],
[[[1, 5], [2, 4], [4, 4], [7, 1]], 13/442368],
[[[1, 5], [2, 4], [4, 4], [14, 1]], 25/1032192],
[[[1, 5], [2, 4], [4, 5], [5, 1]], 1/163840],
[[[1, 5], [2, 4], [4, 5], [6, 2]], 1/10616832],
[[[1, 5], [2, 4], [4, 5], [8, 1]], 233/4718592],
[[[1, 5], [2, 4], [4, 5], [10, 1]], 1/2949120],
[[[1, 5], [2, 4], [4, 5], [12, 1]], 1/73728],
[[[1, 5], [2, 4], [4, 6], [6, 1]], 1/1769472],
[[[1, 5], [2, 4], [5, 1], [11, 1]], 37/253440],
[[[1, 5], [2, 4], [5, 1], [22, 1]], 1/21120],
[[[1, 5], [2, 4], [5, 2], [7, 1]], 19/268800],
[[[1, 5], [2, 4], [5, 2], [14, 1]], 1/22400],
[[[1, 5], [2, 4], [5, 3], [6, 1]], 1/48000],
[[[1, 5], [2, 4], [6, 1], [7, 2]], 19/1354752],
[[[1, 5], [2, 4], [6, 1], [13, 1]], 19/179712],
[[[1, 5], [2, 4], [6, 1], [14, 2]], 1/903168],
[[[1, 5], [2, 4], [6, 1], [26, 1]], 1/119808],
[[[1, 5], [2, 4], [6, 2], [11, 1]], 7/76032],
[[[1, 5], [2, 4], [6, 2], [22, 1]], 1/304128],
[[[1, 5], [2, 4], [7, 1], [16, 1]], 1/10752],
[[[1, 5], [2, 4], [8, 1], [11, 1]], 23/202752],
[[[1, 5], [2, 4], [8, 1], [22, 1]], 61/2027520],
[[[1, 5], [2, 4], [10, 1], [11, 1]], 19/63360],
[[[1, 5], [2, 4], [10, 1], [22, 1]], 1/84480],
[[[1, 5], [2, 4], [10, 2], [14, 1]], 1/268800],
[[[1, 5], [2, 6], [3, 1], [4, 5]], 37/3538944],
[[[1, 5], [2, 6], [3, 1], [6, 5]], 1/6718464],
[[[1, 5], [2, 6], [3, 1], [11, 1]], 91/14598144],
[[[1, 5], [2, 6], [3, 1], [22, 1]], 7/101376],
[[[1, 5], [2, 6], [3, 2], [4, 4]], 55/42467328],
[[[1, 5], [2, 6], [3, 2], [5, 2]], 1/41472000],
[[[1, 5], [2, 6], [3, 2], [6, 4]], 301/4478976],
[[[1, 5], [2, 6], [3, 2], [10, 2]], 1/115200],
[[[1, 5], [2, 6], [3, 3], [6, 3]], 5/20736],
[[[1, 5], [2, 6], [3, 3], [7, 1]], 1/34836480],
[[[1, 5], [2, 6], [3, 3], [9, 1]], 31/14929920],
[[[1, 5], [2, 6], [3, 4], [5, 1]], 1/223948800],
[[[1, 5], [2, 6], [3, 4], [6, 2]], 25/1492992],
[[[1, 5], [2, 6], [3, 4], [8, 1]], 1/119439360],
[[[1, 5], [2, 6], [4, 1], [11, 1]], 25/1622016],
[[[1, 5], [2, 6], [4, 1], [22, 1]], 941/8110080],
[[[1, 5], [2, 6], [4, 2], [5, 2]], 247/49152000],
[[[1, 5], [2, 6], [4, 2], [6, 4]], 17/95551488],
[[[1, 5], [2, 6], [4, 2], [8, 2]], 121/393216],
[[[1, 5], [2, 6], [4, 2], [10, 2]], 227/4915200],
[[[1, 5], [2, 6], [4, 2], [16, 1]], 1/12288],
[[[1, 5], [2, 6], [4, 3], [6, 3]], 359/47775744],
[[[1, 5], [2, 6], [4, 3], [7, 1]], 1019/12386304],
[[[1, 5], [2, 6], [4, 3], [14, 1]], 1901/12386304],
[[[1, 5], [2, 6], [4, 4], [5, 1]], 199/11796480],
[[[1, 5], [2, 6], [4, 4], [6, 2]], 173/10616832],
[[[1, 5], [2, 6], [4, 4], [8, 1]], 4733/14155776],
[[[1, 5], [2, 6], [4, 4], [10, 1]], 121/1769472],
[[[1, 5], [2, 6], [4, 4], [12, 1]], 19/442368],
[[[1, 5], [2, 6], [4, 5], [6, 1]], 139/10616832],
[[[1, 5], [2, 6], [5, 1], [6, 4]], 1/3732480],
[[[1, 5], [2, 6], [5, 1], [10, 2]], 1211/4608000],
[[[1, 5], [2, 6], [5, 2], [6, 2]], 1/460800],
[[[1, 5], [2, 6], [5, 2], [8, 1]], 11/6144000],
[[[1, 5], [2, 6], [5, 2], [10, 1]], 511/2304000],
[[[1, 5], [2, 6], [6, 1], [11, 1]], 61/3041280],
[[[1, 5], [2, 6], [6, 1], [22, 1]], 95/2433024],
[[[1, 5], [2, 6], [6, 2], [10, 2]], 1/460800],
[[[1, 5], [2, 6], [6, 2], [16, 1]], 1/221184],
[[[1, 5], [2, 6], [6, 3], [14, 1]], 1/1161216],
[[[1, 5], [2, 6], [6, 3], [18, 1]], 5/331776],
[[[1, 5], [2, 6], [6, 4], [8, 1]], 7/39813120],
[[[1, 5], [2, 6], [6, 4], [10, 1]], 1/4976640],
[[[1, 5], [2, 6], [7, 1], [14, 1]], 1243/16056320],
[[[1, 5], [2, 6], [8, 1], [10, 2]], 331/36864000],
[[[1, 5], [2, 6], [10, 1], [16, 1]], 1/61440],
[[[1, 5], [2, 8], [3, 1], [4, 4]], 131/21233664],
[[[1, 5], [2, 8], [3, 1], [5, 2]], 29/3096576000],
[[[1, 5], [2, 8], [3, 1], [6, 4]], 2593/107495424],
[[[1, 5], [2, 8], [3, 1], [10, 2]], 13/921600],
[[[1, 5], [2, 8], [3, 2], [4, 3]], 17/35389440],
[[[1, 5], [2, 8], [3, 2], [6, 3]], 12617/71663616],
[[[1, 5], [2, 8], [3, 2], [7, 1]], 19/867041280],
[[[1, 5], [2, 8], [3, 2], [9, 1]], 113/1114767360],
[[[1, 5], [2, 8], [3, 2], [14, 1]], 19/2903040],
[[[1, 5], [2, 8], [3, 3], [4, 2]], 23/3344302080],
[[[1, 5], [2, 8], [3, 3], [5, 1]], 1/16721510400],
[[[1, 5], [2, 8], [3, 3], [6, 2]], 73/4423680],
[[[1, 5], [2, 8], [3, 4], [4, 1]], 1/10032906240],
[[[1, 5], [2, 8], [3, 4], [6, 1]], 1/59719680],
[[[1, 5], [2, 8], [4, 1], [5, 2]], 29/516096000],
[[[1, 5], [2, 8], [4, 1], [6, 4]], 2821/477757440],
[[[1, 5], [2, 8], [4, 1], [8, 2]], 883/35389440],
[[[1, 5], [2, 8], [4, 1], [10, 2]], 4273/58982400],
[[[1, 5], [2, 8], [4, 1], [16, 1]], 1/147456],
[[[1, 5], [2, 8], [4, 2], [6, 3]], 503/11943936],
[[[1, 5], [2, 8], [4, 2], [7, 1]], 6847/433520640],
[[[1, 5], [2, 8], [4, 2], [14, 1]], 5917/41287680],
[[[1, 5], [2, 8], [4, 3], [5, 1]], 119/9830400],
[[[1, 5], [2, 8], [4, 3], [6, 2]], 11537/127401984],
[[[1, 5], [2, 8], [4, 3], [8, 1]], 14431/70778880],
[[[1, 5], [2, 8], [4, 3], [10, 1]], 7591/58982400],
[[[1, 5], [2, 8], [4, 3], [12, 1]], 143/6635520],
[[[1, 5], [2, 8], [4, 4], [6, 1]], 27491/424673280],
[[[1, 5], [2, 8], [5, 1], [6, 3]], 19/1866240],
[[[1, 5], [2, 8], [5, 1], [7, 1]], 19/481689600],
[[[1, 5], [2, 8], [5, 1], [14, 1]], 1/44800],
[[[1, 5], [2, 8], [5, 2], [6, 1]], 1/18432000],
[[[1, 5], [2, 8], [6, 1], [8, 2]], 1/2949120],
[[[1, 5], [2, 8], [6, 1], [10, 2]], 101/3686400],
[[[1, 5], [2, 8], [6, 1], [16, 1]], 1/221184],
[[[1, 5], [2, 8], [6, 2], [7, 1]], 1/96768],
[[[1, 5], [2, 8], [6, 2], [14, 1]], 83/3096576],
[[[1, 5], [2, 8], [6, 2], [18, 1]], 871/26542080],
[[[1, 5], [2, 8], [6, 3], [8, 1]], 7/2457600],
[[[1, 5], [2, 8], [6, 3], [10, 1]], 161/19906560],
[[[1, 5], [2, 8], [7, 1], [8, 1]], 1/10321920],
[[[1, 5], [2, 8], [7, 1], [10, 1]], 1/80640],
[[[1, 5], [2, 8], [8, 1], [14, 1]], 14071/1083801600],
[[[1, 5], [2, 8], [10, 1], [14, 1]], 4517/103219200],
[[[1, 5], [2, 10], [3, 1], [4, 3]], 3767/2229534720],
[[[1, 5], [2, 10], [3, 1], [6, 3]], 241463/8599633920],
[[[1, 5], [2, 10], [3, 1], [7, 1]], 1/3468165120],
[[[1, 5], [2, 10], [3, 1], [9, 1]], 1/1486356480],
[[[1, 5], [2, 10], [3, 1], [14, 1]], 79/36126720],
[[[1, 5], [2, 10], [3, 2], [4, 2]], 3209/11890851840],
[[[1, 5], [2, 10], [3, 2], [6, 2]], 500693/26754416640],
[[[1, 5], [2, 10], [3, 2], [10, 1]], 101/174182400],
[[[1, 5], [2, 10], [3, 3], [6, 1]], 2033/4459069440],
[[[1, 5], [2, 10], [4, 1], [6, 3]], 95237/4777574400],
[[[1, 5], [2, 10], [4, 1], [7, 1]], 139/165150720],
[[[1, 5], [2, 10], [4, 1], [14, 1]], 183587/8670412800],
[[[1, 5], [2, 10], [4, 2], [5, 1]], 6313/3303014400],
[[[1, 5], [2, 10], [4, 2], [6, 2]], 30413/637009920],
[[[1, 5], [2, 10], [4, 2], [8, 1]], 32573/1321205760],
[[[1, 5], [2, 10], [4, 2], [10, 1]], 45349/1238630400],
[[[1, 5], [2, 10], [4, 2], [12, 1]], 79/46448640],
[[[1, 5], [2, 10], [4, 3], [6, 1]], 19387/557383680],
[[[1, 5], [2, 10], [5, 1], [6, 2]], 73/24883200],
[[[1, 5], [2, 10], [5, 1], [8, 1]], 1/22118400],
[[[1, 5], [2, 10], [5, 1], [10, 1]], 979/221184000],
[[[1, 5], [2, 10], [6, 1], [7, 1]], 1/967680],
[[[1, 5], [2, 10], [6, 1], [14, 1]], 3553/289013760],
[[[1, 5], [2, 10], [6, 1], [18, 1]], 167/53084160],
[[[1, 5], [2, 10], [6, 2], [8, 1]], 9631/3715891200],
[[[1, 5], [2, 10], [6, 2], [10, 1]], 149/10616832],
[[[1, 5], [2, 10], [8, 1], [10, 1]], 7679/3981312000],
[[[1, 5], [2, 12], [3, 1], [4, 2]], 773/5573836800],
[[[1, 5], [2, 12], [3, 1], [5, 1]], 1/232243200],
[[[1, 5], [2, 12], [3, 1], [6, 2]], 1578109/601974374400],
[[[1, 5], [2, 12], [3, 1], [8, 1]], 17/1393459200],
[[[1, 5], [2, 12], [3, 1], [10, 1]], 41/298598400],
[[[1, 5], [2, 12], [3, 2], [4, 1]], 151/8360755200],
[[[1, 5], [2, 12], [3, 2], [6, 1]], 77/716636160],
[[[1, 5], [2, 12], [4, 1], [5, 1]], 221/2786918400],
[[[1, 5], [2, 12], [4, 1], [6, 2]], 435811/89181388800],
[[[1, 5], [2, 12], [4, 1], [8, 1]], 186763/356725555200],
[[[1, 5], [2, 12], [4, 1], [10, 1]], 63887/24772608000],
[[[1, 5], [2, 12], [4, 1], [12, 1]], 29/1194393600],
[[[1, 5], [2, 12], [4, 2], [6, 1]], 44563/9555148800],
[[[1, 5], [2, 12], [5, 1], [6, 1]], 61/522547200],
[[[1, 5], [2, 12], [6, 1], [8, 1]], 107021/613122048000],
[[[1, 5], [2, 12], [6, 1], [10, 1]], 48239/22295347200],
[[[1, 5], [2, 14], [3, 1], [4, 1]], 494843/133905855283200],
[[[1, 5], [2, 14], [3, 1], [6, 1]], 7234441/211894979788800],
[[[1, 5], [2, 14], [4, 1], [6, 1]], 2721991/14714929152000],
[[[1, 5], [3, 1], [4, 2], [5, 3]], 1/48000],
[[[1, 5], [3, 1], [4, 2], [7, 2]], 1/150528],
[[[1, 5], [3, 1], [4, 2], [13, 1]], 1/19968],
[[[1, 5], [3, 1], [4, 4], [5, 2]], 1/1843200],
[[[1, 5], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 5], [3, 1], [5, 1], [13, 1]], 1/1560],
[[[1, 5], [3, 1], [5, 2], [8, 2]], 1/38400],
[[[1, 5], [3, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 5], [3, 1], [9, 1], [11, 1]], 1/1188],
[[[1, 5], [3, 2], [4, 2], [11, 1]], 1/50688],
[[[1, 5], [3, 2], [4, 4], [7, 1]], 1/1548288],
[[[1, 5], [3, 2], [4, 4], [9, 1]], 1/663552],
[[[1, 5], [3, 2], [5, 1], [11, 1]], 1/3960],
[[[1, 5], [3, 2], [5, 2], [9, 1]], 1/1800],
[[[1, 5], [3, 2], [7, 1], [8, 2]], 1/32256],
[[[1, 5], [3, 2], [8, 2], [9, 1]], 1/13824],
[[[1, 5], [3, 3], [4, 2], [5, 2]], 1/259200],
[[[1, 5], [3, 3], [4, 4], [5, 1]], 1/9953280],
[[[1, 5], [3, 3], [5, 1], [8, 2]], 1/207360],
[[[1, 5], [3, 3], [7, 1], [9, 1]], 1/2268],
[[[1, 5], [3, 4], [5, 1], [9, 1]], 1/11664],
[[[1, 5], [4, 1], [7, 2], [8, 1]], 1/150528],
[[[1, 5], [4, 1], [8, 1], [13, 1]], 1/19968],
[[[1, 5], [4, 2], [5, 1], [11, 1]], 1/21120],
[[[1, 5], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 5], [4, 2], [11, 1], [12, 1]], 1/6336],
[[[1, 5], [4, 4], [5, 1], [7, 1]], 1/860160],
[[[1, 5], [5, 1], [7, 1], [8, 2]], 1/17920],
[[[1, 6], [2, 1], [3, 2], [7, 2]], 1/6272],
[[[1, 6], [2, 1], [3, 2], [9, 2]], 1/1944],
[[[1, 6], [2, 1], [3, 2], [13, 1]], 1/7488],
[[[1, 6], [2, 1], [3, 3], [4, 5]], 1/7962624],
[[[1, 6], [2, 1], [3, 3], [11, 1]], 5/57024],
[[[1, 6], [2, 1], [3, 4], [4, 4]], 1/47775744],
[[[1, 6], [2, 1], [3, 4], [8, 2]], 1/995328],
[[[1, 6], [2, 1], [3, 4], [16, 1]], 1/124416],
[[[1, 6], [2, 1], [3, 5], [9, 1]], 1/34992],
[[[1, 6], [2, 1], [4, 2], [5, 3]], 1/64000],
[[[1, 6], [2, 1], [4, 2], [7, 2]], 1/602112],
[[[1, 6], [2, 1], [4, 2], [13, 1]], 1/79872],
[[[1, 6], [2, 1], [4, 3], [11, 1]], 13/405504],
[[[1, 6], [2, 1], [4, 4], [5, 2]], 1/2457600],
[[[1, 6], [2, 1], [4, 5], [7, 1]], 1/2064384],
[[[1, 6], [2, 1], [5, 1], [7, 2]], 13/31360],
[[[1, 6], [2, 1], [5, 1], [13, 1]], 1/4160],
[[[1, 6], [2, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 6], [2, 1], [5, 2], [16, 1]], 1/38400],
[[[1, 6], [2, 1], [7, 1], [11, 1]], 5/7392],
[[[1, 6], [2, 1], [7, 2], [8, 1]], 1/602112],
[[[1, 6], [2, 1], [8, 1], [13, 1]], 1/79872],
[[[1, 6], [2, 3], [3, 1], [4, 6]], 1/2359296],
[[[1, 6], [2, 3], [3, 1], [5, 3]], 1/48000],
[[[1, 6], [2, 3], [3, 1], [7, 2]], 101/451584],
[[[1, 6], [2, 3], [3, 1], [13, 1]], 5/59904],
[[[1, 6], [2, 3], [3, 1], [14, 2]], 1/4515840],
[[[1, 6], [2, 3], [3, 1], [26, 1]], 1/599040],
[[[1, 6], [2, 3], [3, 2], [4, 5]], 1/262144],
[[[1, 6], [2, 3], [3, 2], [11, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [4, 4]], 11/3981312],
[[[1, 6], [2, 3], [3, 3], [5, 2]], 1/259200],
[[[1, 6], [2, 3], [3, 3], [16, 1]], 1/41472],
[[[1, 6], [2, 3], [3, 4], [4, 3]], 295/71663616],
[[[1, 6], [2, 3], [3, 4], [6, 3]], 5/46656],
[[[1, 6], [2, 3], [3, 4], [7, 1]], 1/435456],
[[[1, 6], [2, 3], [3, 4], [9, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 4], [14, 1]], 1/217728],
[[[1, 6], [2, 3], [3, 5], [4, 2]], 1/5971968],
[[[1, 6], [2, 3], [3, 5], [6, 2]], 59/839808],
[[[1, 6], [2, 3], [3, 5], [10, 1]], 1/466560],
[[[1, 6], [2, 3], [4, 1], [5, 3]], 9/128000],
[[[1, 6], [2, 3], [4, 1], [7, 2]], 2893/7225344],
[[[1, 6], [2, 3], [4, 1], [8, 3]], 1/32768],
[[[1, 6], [2, 3], [4, 1], [13, 1]], 205/958464],
[[[1, 6], [2, 3], [4, 1], [14, 2]], 1/6021120],
[[[1, 6], [2, 3], [4, 1], [26, 1]], 1/798720],
[[[1, 6], [2, 3], [4, 2], [11, 1]], 97/270336],
[[[1, 6], [2, 3], [4, 3], [5, 2]], 3889/22118400],
[[[1, 6], [2, 3], [4, 3], [8, 2]], 7/12288],
[[[1, 6], [2, 3], [4, 4], [7, 1]], 55/1376256],
[[[1, 6], [2, 3], [4, 5], [5, 1]], 7/393216],
[[[1, 6], [2, 3], [4, 5], [8, 1]], 163/4718592],
[[[1, 6], [2, 3], [4, 5], [12, 1]], 1/73728],
[[[1, 6], [2, 3], [5, 1], [11, 1]], 1/3840],
[[[1, 6], [2, 3], [5, 2], [7, 1]], 9/44800],
[[[1, 6], [2, 3], [5, 2], [14, 1]], 1/11200],
[[[1, 6], [2, 3], [5, 3], [6, 1]], 1/24000],
[[[1, 6], [2, 3], [6, 1], [7, 2]], 1/225792],
[[[1, 6], [2, 3], [6, 1], [13, 1]], 1/29952],
[[[1, 6], [2, 3], [6, 1], [14, 2]], 1/27095040],
[[[1, 6], [2, 3], [6, 1], [26, 1]], 1/3594240],
[[[1, 6], [2, 3], [6, 2], [11, 1]], 1/25344],
[[[1, 6], [2, 3], [6, 2], [22, 1]], 1/9123840],
[[[1, 6], [2, 3], [7, 1], [8, 2]], 1/86016],
[[[1, 6], [2, 3], [7, 1], [16, 1]], 1/10752],
[[[1, 6], [2, 3], [8, 1], [11, 1]], 25/202752],
[[[1, 6], [2, 3], [8, 1], [22, 1]], 1/675840],
[[[1, 6], [2, 3], [10, 1], [11, 1]], 1/7040],
[[[1, 6], [2, 5], [3, 1], [4, 5]], 139/10616832],
[[[1, 6], [2, 5], [3, 1], [11, 1]], 95/2433024],
[[[1, 6], [2, 5], [3, 1], [22, 1]], 61/3041280],
[[[1, 6], [2, 5], [3, 2], [4, 4]], 173/10616832],
[[[1, 6], [2, 5], [3, 2], [5, 2]], 1/460800],
[[[1, 6], [2, 5], [3, 2], [6, 4]], 25/1492992],
[[[1, 6], [2, 5], [3, 2], [10, 2]], 1/460800],
[[[1, 6], [2, 5], [3, 2], [16, 1]], 1/221184],
[[[1, 6], [2, 5], [3, 3], [4, 3]], 359/47775744],
[[[1, 6], [2, 5], [3, 3], [6, 3]], 5/20736],
[[[1, 6], [2, 5], [3, 3], [7, 1]], 1/1161216],
[[[1, 6], [2, 5], [3, 3], [9, 1]], 5/331776],
[[[1, 6], [2, 5], [3, 4], [4, 2]], 17/95551488],
[[[1, 6], [2, 5], [3, 4], [5, 1]], 1/4976640],
[[[1, 6], [2, 5], [3, 4], [6, 2]], 301/4478976],
[[[1, 6], [2, 5], [3, 4], [8, 1]], 7/39813120],
[[[1, 6], [2, 5], [3, 4], [10, 1]], 1/3732480],
[[[1, 6], [2, 5], [3, 5], [6, 1]], 1/6718464],
[[[1, 6], [2, 5], [4, 1], [11, 1]], 941/8110080],
[[[1, 6], [2, 5], [4, 1], [22, 1]], 25/1622016],
[[[1, 6], [2, 5], [4, 2], [5, 2]], 227/4915200],
[[[1, 6], [2, 5], [4, 2], [8, 2]], 121/393216],
[[[1, 6], [2, 5], [4, 2], [10, 2]], 247/49152000],
[[[1, 6], [2, 5], [4, 2], [16, 1]], 1/12288],
[[[1, 6], [2, 5], [4, 3], [7, 1]], 1901/12386304],
[[[1, 6], [2, 5], [4, 3], [14, 1]], 1019/12386304],
[[[1, 6], [2, 5], [4, 4], [5, 1]], 121/1769472],
[[[1, 6], [2, 5], [4, 4], [6, 2]], 55/42467328],
[[[1, 6], [2, 5], [4, 4], [8, 1]], 4733/14155776],
[[[1, 6], [2, 5], [4, 4], [10, 1]], 199/11796480],
[[[1, 6], [2, 5], [4, 4], [12, 1]], 19/442368],
[[[1, 6], [2, 5], [4, 5], [6, 1]], 37/3538944],
[[[1, 6], [2, 5], [5, 1], [10, 2]], 511/2304000],
[[[1, 6], [2, 5], [5, 1], [16, 1]], 1/61440],
[[[1, 6], [2, 5], [5, 2], [6, 2]], 1/115200],
[[[1, 6], [2, 5], [5, 2], [8, 1]], 331/36864000],
[[[1, 6], [2, 5], [5, 2], [10, 1]], 1211/4608000],
[[[1, 6], [2, 5], [6, 1], [11, 1]], 7/101376],
[[[1, 6], [2, 5], [6, 1], [22, 1]], 91/14598144],
[[[1, 6], [2, 5], [6, 2], [10, 2]], 1/41472000],
[[[1, 6], [2, 5], [6, 3], [14, 1]], 1/34836480],
[[[1, 6], [2, 5], [6, 3], [18, 1]], 31/14929920],
[[[1, 6], [2, 5], [6, 4], [8, 1]], 1/119439360],
[[[1, 6], [2, 5], [6, 4], [10, 1]], 1/223948800],
[[[1, 6], [2, 5], [7, 1], [14, 1]], 1243/16056320],
[[[1, 6], [2, 5], [8, 1], [10, 2]], 11/6144000],
[[[1, 6], [2, 7], [3, 1], [4, 4]], 1357/42467328],
[[[1, 6], [2, 7], [3, 1], [5, 2]], 37/55296000],
[[[1, 6], [2, 7], [3, 1], [6, 4]], 97/22394880],
[[[1, 6], [2, 7], [3, 1], [10, 2]], 551/55296000],
[[[1, 6], [2, 7], [3, 2], [4, 3]], 3539/637009920],
[[[1, 6], [2, 7], [3, 2], [6, 3]], 293/2654208],
[[[1, 6], [2, 7], [3, 2], [7, 1]], 11/15482880],
[[[1, 6], [2, 7], [3, 2], [9, 1]], 281/119439360],
[[[1, 6], [2, 7], [3, 2], [14, 1]], 1/129024],
[[[1, 6], [2, 7], [3, 3], [4, 2]], 17/79626240],
[[[1, 6], [2, 7], [3, 3], [5, 1]], 7/298598400],
[[[1, 6], [2, 7], [3, 3], [6, 2]], 1769/39813120],
[[[1, 6], [2, 7], [3, 3], [8, 1]], 1/39813120],
[[[1, 6], [2, 7], [3, 4], [4, 1]], 11/1114767360],
[[[1, 6], [2, 7], [3, 4], [6, 1]], 47/89579520],
[[[1, 6], [2, 7], [4, 1], [5, 2]], 8513/3096576000],
[[[1, 6], [2, 7], [4, 1], [6, 4]], 41/159252480],
[[[1, 6], [2, 7], [4, 1], [8, 2]], 6361/176947200],
[[[1, 6], [2, 7], [4, 1], [10, 2]], 2159/73728000],
[[[1, 6], [2, 7], [4, 1], [16, 1]], 1/81920],
[[[1, 6], [2, 7], [4, 2], [6, 3]], 1217/159252480],
[[[1, 6], [2, 7], [4, 2], [7, 1]], 451/8257536],
[[[1, 6], [2, 7], [4, 2], [14, 1]], 121/1179648],
[[[1, 6], [2, 7], [4, 3], [5, 1]], 6479/176947200],
[[[1, 6], [2, 7], [4, 3], [6, 2]], 1285/31850496],
[[[1, 6], [2, 7], [4, 3], [8, 1]], 5971/23592960],
[[[1, 6], [2, 7], [4, 3], [10, 1]], 11687/132710400],
[[[1, 6], [2, 7], [4, 3], [12, 1]], 79/2211840],
[[[1, 6], [2, 7], [4, 4], [6, 1]], 11951/212336640],
[[[1, 6], [2, 7], [5, 1], [6, 3]], 1/497664],
[[[1, 6], [2, 7], [5, 1], [7, 1]], 31/22118400],
[[[1, 6], [2, 7], [5, 1], [14, 1]], 1/46080],
[[[1, 6], [2, 7], [5, 2], [6, 1]], 11/9216000],
[[[1, 6], [2, 7], [6, 1], [10, 2]], 2657/331776000],
[[[1, 6], [2, 7], [6, 1], [16, 1]], 1/368640],
[[[1, 6], [2, 7], [6, 2], [7, 1]], 1/193536],
[[[1, 6], [2, 7], [6, 2], [14, 1]], 661/92897280],
[[[1, 6], [2, 7], [6, 2], [18, 1]], 8857/597196800],
[[[1, 6], [2, 7], [6, 3], [8, 1]], 31/59719680],
[[[1, 6], [2, 7], [6, 3], [10, 1]], 1543/1791590400],
[[[1, 6], [2, 7], [7, 1], [8, 1]], 1/491520],
[[[1, 6], [2, 7], [7, 1], [10, 1]], 1/80640],
[[[1, 6], [2, 7], [8, 1], [14, 1]], 451/51609600],
[[[1, 6], [2, 7], [10, 1], [14, 1]], 2761/154828800],
[[[1, 6], [2, 9], [3, 1], [4, 3]], 593/61931520],
[[[1, 6], [2, 9], [3, 1], [6, 3]], 351161/14332723200],
[[[1, 6], [2, 9], [3, 1], [7, 1]], 143/5202247680],
[[[1, 6], [2, 9], [3, 1], [9, 1]], 17/445906944],
[[[1, 6], [2, 9], [3, 1], [14, 1]], 1019/180633600],
[[[1, 6], [2, 9], [3, 2], [4, 2]], 2767/1486356480],
[[[1, 6], [2, 9], [3, 2], [5, 1]], 59/11147673600],
[[[1, 6], [2, 9], [3, 2], [6, 2]], 27353/637009920],
[[[1, 6], [2, 9], [3, 2], [8, 1]], 1/212336640],
[[[1, 6], [2, 9], [3, 2], [10, 1]], 17/11059200],
[[[1, 6], [2, 9], [3, 3], [4, 1]], 89/13377208320],
[[[1, 6], [2, 9], [3, 3], [6, 1]], 9577/4459069440],
[[[1, 6], [2, 9], [4, 1], [6, 3]], 4507/398131200],
[[[1, 6], [2, 9], [4, 1], [7, 1]], 14453/3468165120],
[[[1, 6], [2, 9], [4, 1], [14, 1]], 243121/8670412800],
[[[1, 6], [2, 9], [4, 2], [5, 1]], 11083/1238630400],
[[[1, 6], [2, 9], [4, 2], [6, 2]], 40297/849346560],
[[[1, 6], [2, 9], [4, 2], [8, 1]], 543049/9909043200],
[[[1, 6], [2, 9], [4, 2], [10, 1]], 196447/3538944000],
[[[1, 6], [2, 9], [4, 2], [12, 1]], 113/26542080],
[[[1, 6], [2, 9], [4, 3], [6, 1]], 19681/318504960],
[[[1, 6], [2, 9], [5, 1], [6, 2]], 7/1327104],
[[[1, 6], [2, 9], [5, 1], [8, 1]], 1/6553600],
[[[1, 6], [2, 9], [5, 1], [10, 1]], 93167/8257536000],
[[[1, 6], [2, 9], [6, 1], [7, 1]], 41/15482880],
[[[1, 6], [2, 9], [6, 1], [14, 1]], 296231/26011238400],
[[[1, 6], [2, 9], [6, 1], [18, 1]], 21707/4777574400],
[[[1, 6], [2, 9], [6, 2], [8, 1]], 893/398131200],
[[[1, 6], [2, 9], [6, 2], [10, 1]], 51757/5971968000],
[[[1, 6], [2, 9], [8, 1], [10, 1]], 353/129024000],
[[[1, 6], [2, 11], [3, 1], [4, 2]], 558739/535088332800],
[[[1, 6], [2, 11], [3, 1], [5, 1]], 449/14863564800],
[[[1, 6], [2, 11], [3, 1], [6, 2]], 28477/4180377600],
[[[1, 6], [2, 11], [3, 1], [8, 1]], 1/20643840],
[[[1, 6], [2, 11], [3, 1], [10, 1]], 3809/5971968000],
[[[1, 6], [2, 11], [3, 2], [4, 1]], 241/1698693120],
[[[1, 6], [2, 11], [3, 2], [6, 1]], 19667/26754416640],
[[[1, 6], [2, 11], [4, 1], [5, 1]], 1847/3303014400],
[[[1, 6], [2, 11], [4, 1], [6, 2]], 983/110100480],
[[[1, 6], [2, 11], [4, 1], [8, 1]], 3525409/1783627776000],
[[[1, 6], [2, 11], [4, 1], [10, 1]], 709369/111476736000],
[[[1, 6], [2, 11], [4, 1], [12, 1]], 53/557383680],
[[[1, 6], [2, 11], [4, 2], [6, 1]], 410569/29727129600],
[[[1, 6], [2, 11], [5, 1], [6, 1]], 1/1814400],
[[[1, 6], [2, 11], [6, 1], [8, 1]], 16403/33443020800],
[[[1, 6], [2, 11], [6, 1], [10, 1]], 3520709/1003290624000],
[[[1, 6], [2, 13], [3, 1], [4, 1]], 165413/4414478745600],
[[[1, 6], [2, 13], [3, 1], [6, 1]], 69069449/353158299648000],
[[[1, 6], [2, 13], [4, 1], [6, 1]], 3793589/4904976384000],
[[[1, 7], [2, 2], [3, 1], [4, 6]], 1/7077888],
[[[1, 7], [2, 2], [3, 1], [5, 3]], 1/19200],
[[[1, 7], [2, 2], [3, 1], [7, 2]], 25/86016],
[[[1, 7], [2, 2], [3, 1], [13, 1]], 1/18432],
[[[1, 7], [2, 2], [3, 2], [4, 5]], 1/3538944],
[[[1, 7], [2, 2], [3, 2], [11, 1]], 23/202752],
[[[1, 7], [2, 2], [3, 3], [4, 4]], 71/15925248],
[[[1, 7], [2, 2], [3, 3], [5, 2]], 7/518400],
[[[1, 7], [2, 2], [3, 3], [8, 2]], 1/331776],
[[[1, 7], [2, 2], [3, 3], [16, 1]], 1/62208],
[[[1, 7], [2, 2], [3, 4], [4, 3]], 7/2654208],
[[[1, 7], [2, 2], [3, 4], [7, 1]], 1/54432],
[[[1, 7], [2, 2], [3, 4], [9, 1]], 19/186624],
[[[1, 7], [2, 2], [3, 4], [14, 1]], 1/217728],
[[[1, 7], [2, 2], [3, 5], [4, 2]], 1/221184],
[[[1, 7], [2, 2], [3, 5], [5, 1]], 1/933120],
[[[1, 7], [2, 2], [3, 5], [6, 2]], 59/839808],
[[[1, 7], [2, 2], [3, 5], [8, 1]], 1/746496],
[[[1, 7], [2, 2], [3, 5], [10, 1]], 1/466560],
[[[1, 7], [2, 2], [3, 6], [4, 1]], 1/2239488],
[[[1, 7], [2, 2], [3, 6], [6, 1]], 1/139968],
[[[1, 7], [2, 2], [4, 1], [5, 3]], 7/64000],
[[[1, 7], [2, 2], [4, 1], [7, 2]], 47/172032],
[[[1, 7], [2, 2], [4, 1], [8, 3]], 1/98304],
[[[1, 7], [2, 2], [4, 1], [13, 1]], 3/53248],
[[[1, 7], [2, 2], [4, 1], [14, 2]], 1/252887040],
[[[1, 7], [2, 2], [4, 1], [26, 1]], 1/33546240],
[[[1, 7], [2, 2], [4, 2], [11, 1]], 85/811008],
[[[1, 7], [2, 2], [4, 3], [5, 2]], 91/3686400],
[[[1, 7], [2, 2], [4, 3], [8, 2]], 31/2949120],
[[[1, 7], [2, 2], [4, 4], [7, 1]], 53/4128768],
[[[1, 7], [2, 2], [4, 5], [5, 1]], 1/2949120],
[[[1, 7], [2, 2], [4, 5], [8, 1]], 1/4718592],
[[[1, 7], [2, 2], [5, 1], [11, 1]], 3/14080],
[[[1, 7], [2, 2], [5, 2], [7, 1]], 31/134400],
[[[1, 7], [2, 2], [5, 2], [14, 1]], 1/67200],
[[[1, 7], [2, 2], [5, 3], [6, 1]], 1/144000],
[[[1, 7], [2, 2], [6, 1], [7, 2]], 1/4515840],
[[[1, 7], [2, 2], [6, 1], [13, 1]], 1/599040],
[[[1, 7], [2, 2], [6, 2], [11, 1]], 1/228096],
[[[1, 7], [2, 2], [7, 1], [8, 2]], 1/86016],
[[[1, 7], [2, 2], [7, 1], [16, 1]], 1/53760],
[[[1, 7], [2, 2], [8, 1], [11, 1]], 5/135168],
[[[1, 7], [2, 2], [10, 1], [11, 1]], 1/63360],
[[[1, 7], [2, 4], [3, 1], [4, 5]], 101/7077888],
[[[1, 7], [2, 4], [3, 1], [11, 1]], 3161/48660480],
[[[1, 7], [2, 4], [3, 1], [22, 1]], 1/1013760],
[[[1, 7], [2, 4], [3, 2], [4, 4]], 7247/254803968],
[[[1, 7], [2, 4], [3, 2], [5, 2]], 41/1658880],
[[[1, 7], [2, 4], [3, 2], [6, 4]], 1/497664],
[[[1, 7], [2, 4], [3, 2], [8, 2]], 1/1769472],
[[[1, 7], [2, 4], [3, 2], [16, 1]], 1/55296],
[[[1, 7], [2, 4], [3, 3], [4, 3]], 1261/35831808],
[[[1, 7], [2, 4], [3, 3], [6, 3]], 5/41472],
[[[1, 7], [2, 4], [3, 3], [7, 1]], 41/2322432],
[[[1, 7], [2, 4], [3, 3], [9, 1]], 53/995328],
[[[1, 7], [2, 4], [3, 3], [14, 1]], 1/72576],
[[[1, 7], [2, 4], [3, 4], [4, 2]], 13/1179648],
[[[1, 7], [2, 4], [3, 4], [5, 1]], 13/7464960],
[[[1, 7], [2, 4], [3, 4], [6, 2]], 983/4478976],
[[[1, 7], [2, 4], [3, 4], [8, 1]], 1/1327104],
[[[1, 7], [2, 4], [3, 4], [10, 1]], 31/3732480],
[[[1, 7], [2, 4], [3, 5], [4, 1]], 7/8957952],
[[[1, 7], [2, 4], [3, 5], [6, 1]], 43/6718464],
[[[1, 7], [2, 4], [4, 1], [11, 1]], 265/1622016],
[[[1, 7], [2, 4], [4, 1], [22, 1]], 127/170311680],
[[[1, 7], [2, 4], [4, 2], [5, 2]], 5917/29491200],
[[[1, 7], [2, 4], [4, 2], [8, 2]], 2083/5898240],
[[[1, 7], [2, 4], [4, 2], [10, 2]], 1/12288000],
[[[1, 7], [2, 4], [4, 2], [16, 1]], 1/49152],
[[[1, 7], [2, 4], [4, 3], [7, 1]], 5671/30965760],
[[[1, 7], [2, 4], [4, 3], [14, 1]], 1/86016],
[[[1, 7], [2, 4], [4, 4], [5, 1]], 31643/353894400],
[[[1, 7], [2, 4], [4, 4], [8, 1]], 38057/212336640],
[[[1, 7], [2, 4], [4, 4], [10, 1]], 1/245760],
[[[1, 7], [2, 4], [4, 4], [12, 1]], 13/442368],
[[[1, 7], [2, 4], [4, 5], [6, 1]], 1/3538944],
[[[1, 7], [2, 4], [5, 1], [8, 2]], 1/491520],
[[[1, 7], [2, 4], [5, 1], [10, 2]], 17/307200],
[[[1, 7], [2, 4], [5, 1], [16, 1]], 1/46080],
[[[1, 7], [2, 4], [5, 2], [6, 2]], 7/691200],
[[[1, 7], [2, 4], [5, 2], [8, 1]], 31/1843200],
[[[1, 7], [2, 4], [5, 2], [10, 1]], 1/4608],
[[[1, 7], [2, 4], [6, 1], [11, 1]], 37/912384],
[[[1, 7], [2, 4], [6, 1], [22, 1]], 1/4055040],
[[[1, 7], [2, 4], [6, 3], [18, 1]], 1/14929920],
[[[1, 7], [2, 4], [7, 1], [14, 1]], 13123/216760320],
[[[1, 7], [2, 4], [8, 1], [10, 2]], 1/12288000],
[[[1, 7], [2, 6], [3, 1], [4, 4]], 11951/212336640],
[[[1, 7], [2, 6], [3, 1], [5, 2]], 2657/331776000],
[[[1, 7], [2, 6], [3, 1], [6, 4]], 47/89579520],
[[[1, 7], [2, 6], [3, 1], [10, 2]], 11/9216000],
[[[1, 7], [2, 6], [3, 1], [16, 1]], 1/368640],
[[[1, 7], [2, 6], [3, 2], [4, 3]], 1285/31850496],
[[[1, 7], [2, 6], [3, 2], [6, 3]], 1769/39813120],
[[[1, 7], [2, 6], [3, 2], [7, 1]], 661/92897280],
[[[1, 7], [2, 6], [3, 2], [9, 1]], 8857/597196800],
[[[1, 7], [2, 6], [3, 2], [14, 1]], 1/193536],
[[[1, 7], [2, 6], [3, 3], [4, 2]], 1217/159252480],
[[[1, 7], [2, 6], [3, 3], [5, 1]], 1543/1791590400],
[[[1, 7], [2, 6], [3, 3], [6, 2]], 293/2654208],
[[[1, 7], [2, 6], [3, 3], [8, 1]], 31/59719680],
[[[1, 7], [2, 6], [3, 3], [10, 1]], 1/497664],
[[[1, 7], [2, 6], [3, 4], [4, 1]], 41/159252480],
[[[1, 7], [2, 6], [3, 4], [6, 1]], 97/22394880],
[[[1, 7], [2, 6], [4, 1], [5, 2]], 2159/73728000],
[[[1, 7], [2, 6], [4, 1], [6, 4]], 11/1114767360],
[[[1, 7], [2, 6], [4, 1], [8, 2]], 6361/176947200],
[[[1, 7], [2, 6], [4, 1], [10, 2]], 8513/3096576000],
[[[1, 7], [2, 6], [4, 1], [16, 1]], 1/81920],
[[[1, 7], [2, 6], [4, 2], [6, 3]], 17/79626240],
[[[1, 7], [2, 6], [4, 2], [7, 1]], 121/1179648],
[[[1, 7], [2, 6], [4, 2], [14, 1]], 451/8257536],
[[[1, 7], [2, 6], [4, 3], [5, 1]], 11687/132710400],
[[[1, 7], [2, 6], [4, 3], [6, 2]], 3539/637009920],
[[[1, 7], [2, 6], [4, 3], [8, 1]], 5971/23592960],
[[[1, 7], [2, 6], [4, 3], [10, 1]], 6479/176947200],
[[[1, 7], [2, 6], [4, 3], [12, 1]], 79/2211840],
[[[1, 7], [2, 6], [4, 4], [6, 1]], 1357/42467328],
[[[1, 7], [2, 6], [5, 1], [7, 1]], 2761/154828800],
[[[1, 7], [2, 6], [5, 1], [14, 1]], 1/80640],
[[[1, 7], [2, 6], [5, 2], [6, 1]], 551/55296000],
[[[1, 7], [2, 6], [6, 1], [10, 2]], 37/55296000],
[[[1, 7], [2, 6], [6, 2], [7, 1]], 1/129024],
[[[1, 7], [2, 6], [6, 2], [14, 1]], 11/15482880],
[[[1, 7], [2, 6], [6, 2], [18, 1]], 281/119439360],
[[[1, 7], [2, 6], [6, 3], [8, 1]], 1/39813120],
[[[1, 7], [2, 6], [6, 3], [10, 1]], 7/298598400],
[[[1, 7], [2, 6], [7, 1], [8, 1]], 451/51609600],
[[[1, 7], [2, 6], [7, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 6], [8, 1], [14, 1]], 1/491520],
[[[1, 7], [2, 6], [10, 1], [14, 1]], 31/22118400],
[[[1, 7], [2, 8], [3, 1], [4, 3]], 5567/212336640],
[[[1, 7], [2, 8], [3, 1], [6, 3]], 78707/7166361600],
[[[1, 7], [2, 8], [3, 1], [7, 1]], 2119/3468165120],
[[[1, 7], [2, 8], [3, 1], [9, 1]], 13301/22295347200],
[[[1, 7], [2, 8], [3, 1], [14, 1]], 179/33177600],
[[[1, 7], [2, 8], [3, 2], [4, 2]], 21047/3567255552],
[[[1, 7], [2, 8], [3, 2], [5, 1]], 2437/11147673600],
[[[1, 7], [2, 8], [3, 2], [6, 2]], 16013/353894400],
[[[1, 7], [2, 8], [3, 2], [8, 1]], 1/8847360],
[[[1, 7], [2, 8], [3, 2], [10, 1]], 11/6635520],
[[[1, 7], [2, 8], [3, 3], [4, 1]], 1093/5016453120],
[[[1, 7], [2, 8], [3, 3], [6, 1]], 791/159252480],
[[[1, 7], [2, 8], [4, 1], [6, 3]], 39667/16721510400],
[[[1, 7], [2, 8], [4, 1], [7, 1]], 36331/4335206400],
[[[1, 7], [2, 8], [4, 1], [14, 1]], 513511/30346444800],
[[[1, 7], [2, 8], [4, 2], [5, 1]], 539879/24772608000],
[[[1, 7], [2, 8], [4, 2], [6, 2]], 4249/212336640],
[[[1, 7], [2, 8], [4, 2], [8, 1]], 1782173/29727129600],
[[[1, 7], [2, 8], [4, 2], [10, 1]], 239087/6193152000],
[[[1, 7], [2, 8], [4, 2], [12, 1]], 997/185794560],
[[[1, 7], [2, 8], [4, 3], [6, 1]], 40903/891813888],
[[[1, 7], [2, 8], [5, 1], [6, 2]], 89/33177600],
[[[1, 7], [2, 8], [5, 1], [8, 1]], 11/22118400],
[[[1, 7], [2, 8], [5, 1], [10, 1]], 611/42467328],
[[[1, 7], [2, 8], [6, 1], [7, 1]], 1/344064],
[[[1, 7], [2, 8], [6, 1], [14, 1]], 1469/309657600],
[[[1, 7], [2, 8], [6, 1], [18, 1]], 24401/8360755200],
[[[1, 7], [2, 8], [6, 2], [8, 1]], 19/26542080],
[[[1, 7], [2, 8], [6, 2], [10, 1]], 181/79626240],
[[[1, 7], [2, 8], [8, 1], [10, 1]], 1289/774144000],
[[[1, 7], [2, 10], [3, 1], [4, 2]], 47669/11890851840],
[[[1, 7], [2, 10], [3, 1], [5, 1]], 53/550502400],
[[[1, 7], [2, 10], [3, 1], [6, 2]], 567911/66886041600],
[[[1, 7], [2, 10], [3, 1], [8, 1]], 103/1061683200],
[[[1, 7], [2, 10], [3, 1], [10, 1]], 593/435456000],
[[[1, 7], [2, 10], [3, 2], [4, 1]], 449/849346560],
[[[1, 7], [2, 10], [3, 2], [6, 1]], 7751/3185049600],
[[[1, 7], [2, 10], [4, 1], [5, 1]], 4027/2123366400],
[[[1, 7], [2, 10], [4, 1], [6, 2]], 4725383/624269721600],
[[[1, 7], [2, 10], [4, 1], [8, 1]], 190837/50960793600],
[[[1, 7], [2, 10], [4, 1], [10, 1]], 35965693/4682022912000],
[[[1, 7], [2, 10], [4, 1], [12, 1]], 199/1114767360],
[[[1, 7], [2, 10], [4, 2], [6, 1]], 183149/9909043200],
[[[1, 7], [2, 10], [5, 1], [6, 1]], 307/265420800],
[[[1, 7], [2, 10], [6, 1], [8, 1]], 2221/3715891200],
[[[1, 7], [2, 10], [6, 1], [10, 1]], 332611/111476736000],
[[[1, 7], [2, 12], [3, 1], [4, 1]], 547109/2675441664000],
[[[1, 7], [2, 12], [3, 1], [6, 1]], 121571/200658124800],
[[[1, 7], [2, 12], [4, 1], [6, 1]], 1618747/953745408000],
[[[1, 7], [3, 1], [4, 2], [11, 1]], 41/4055040],
[[[1, 7], [3, 1], [4, 4], [7, 1]], 1/6193152],
[[[1, 7], [3, 1], [4, 4], [9, 1]], 1/13271040],
[[[1, 7], [3, 1], [5, 1], [11, 1]], 17/126720],
[[[1, 7], [3, 1], [5, 2], [7, 1]], 1/5600],
[[[1, 7], [3, 1], [5, 2], [9, 1]], 1/19200],
[[[1, 7], [3, 1], [7, 1], [8, 2]], 1/129024],
[[[1, 7], [3, 1], [8, 2], [9, 1]], 1/276480],
[[[1, 7], [3, 2], [4, 2], [5, 2]], 7/691200],
[[[1, 7], [3, 2], [4, 4], [5, 1]], 1/6635520],
[[[1, 7], [3, 2], [5, 1], [8, 2]], 1/138240],
[[[1, 7], [3, 2], [7, 1], [9, 1]], 5/18144],
[[[1, 7], [3, 3], [4, 2], [7, 1]], 1/193536],
[[[1, 7], [3, 3], [4, 2], [9, 1]], 1/82944],
[[[1, 7], [3, 3], [5, 1], [7, 1]], 1/11340],
[[[1, 7], [3, 3], [5, 1], [9, 1]], 41/155520],
[[[1, 7], [3, 4], [4, 2], [5, 1]], 1/622080],
[[[1, 7], [3, 4], [4, 2], [12, 1]], 1/373248],
[[[1, 7], [3, 5], [4, 1], [8, 1]], 1/746496],
[[[1, 7], [4, 1], [8, 1], [11, 1]], 1/101376],
[[[1, 7], [4, 2], [5, 2], [12, 1]], 1/115200],
[[[1, 8], [2, 1], [3, 1], [5, 3]], 1/16000],
[[[1, 8], [2, 1], [3, 1], [7, 2]], 43/301056],
[[[1, 8], [2, 1], [3, 1], [13, 1]], 1/119808],
[[[1, 8], [2, 1], [3, 2], [4, 5]], 1/21233664],
[[[1, 8], [2, 1], [3, 2], [11, 1]], 13/304128],
[[[1, 8], [2, 1], [3, 3], [4, 4]], 1/23887872],
[[[1, 8], [2, 1], [3, 3], [5, 2]], 17/259200],
[[[1, 8], [2, 1], [3, 3], [8, 2]], 1/497664],
[[[1, 8], [2, 1], [3, 3], [16, 1]], 1/622080],
[[[1, 8], [2, 1], [3, 4], [4, 3]], 37/23887872],
[[[1, 8], [2, 1], [3, 4], [7, 1]], 13/435456],
[[[1, 8], [2, 1], [3, 4], [9, 1]], 41/559872],
[[[1, 8], [2, 1], [3, 5], [4, 2]], 1/1990656],
[[[1, 8], [2, 1], [3, 5], [5, 1]], 1/116640],
[[[1, 8], [2, 1], [3, 5], [8, 1]], 1/746496],
[[[1, 8], [2, 1], [3, 6], [4, 1]], 11/6718464],
[[[1, 8], [2, 1], [3, 6], [6, 1]], 1/139968],
[[[1, 8], [2, 1], [4, 1], [5, 3]], 13/768000],
[[[1, 8], [2, 1], [4, 1], [7, 2]], 1933/36126720],
[[[1, 8], [2, 1], [4, 1], [8, 3]], 1/1474560],
[[[1, 8], [2, 1], [4, 1], [13, 1]], 1/368640],
[[[1, 8], [2, 1], [4, 2], [11, 1]], 23/8110080],
[[[1, 8], [2, 1], [4, 3], [5, 2]], 229/73728000],
[[[1, 8], [2, 1], [4, 4], [7, 1]], 1/20643840],
[[[1, 8], [2, 1], [4, 5], [5, 1]], 1/29491200],
[[[1, 8], [2, 1], [4, 5], [8, 1]], 1/70778880],
[[[1, 8], [2, 1], [5, 1], [11, 1]], 1/16896],
[[[1, 8], [2, 1], [5, 2], [7, 1]], 29/268800],
[[[1, 8], [2, 1], [7, 1], [8, 2]], 1/430080],
[[[1, 8], [2, 1], [7, 1], [16, 1]], 1/1128960],
[[[1, 8], [2, 1], [8, 1], [11, 1]], 1/405504],
[[[1, 8], [2, 3], [3, 1], [4, 5]], 11/2359296],
[[[1, 8], [2, 3], [3, 1], [11, 1]], 613/12165120],
[[[1, 8], [2, 3], [3, 2], [4, 4]], 287/21233664],
[[[1, 8], [2, 3], [3, 2], [5, 2]], 41/691200],
[[[1, 8], [2, 3], [3, 2], [8, 2]], 1/442368],
[[[1, 8], [2, 3], [3, 2], [16, 1]], 1/110592],
[[[1, 8], [2, 3], [3, 3], [4, 3]], 9691/358318080],
[[[1, 8], [2, 3], [3, 3], [6, 3]], 1/69120],
[[[1, 8], [2, 3], [3, 3], [7, 1]], 29/580608],
[[[1, 8], [2, 3], [3, 3], [9, 1]], 97/995328],
[[[1, 8], [2, 3], [3, 3], [14, 1]], 1/108864],
[[[1, 8], [2, 3], [3, 4], [4, 2]], 1397/47775744],
[[[1, 8], [2, 3], [3, 4], [5, 1]], 23/2488320],
[[[1, 8], [2, 3], [3, 4], [6, 2]], 485/3359232],
[[[1, 8], [2, 3], [3, 4], [8, 1]], 61/11943936],
[[[1, 8], [2, 3], [3, 4], [10, 1]], 23/3732480],
[[[1, 8], [2, 3], [3, 5], [4, 1]], 61/8957952],
[[[1, 8], [2, 3], [3, 5], [6, 1]], 25/746496],
[[[1, 8], [2, 3], [4, 1], [11, 1]], 367/4866048],
[[[1, 8], [2, 3], [4, 1], [22, 1]], 1/56770560],
[[[1, 8], [2, 3], [4, 2], [5, 2]], 103/737280],
[[[1, 8], [2, 3], [4, 2], [8, 2]], 613/5898240],
[[[1, 8], [2, 3], [4, 2], [10, 2]], 1/516096000],
[[[1, 8], [2, 3], [4, 2], [16, 1]], 1/737280],
[[[1, 8], [2, 3], [4, 3], [7, 1]], 38557/650280960],
[[[1, 8], [2, 3], [4, 3], [14, 1]], 1/1290240],
[[[1, 8], [2, 3], [4, 4], [5, 1]], 1067/88473600],
[[[1, 8], [2, 3], [4, 4], [8, 1]], 649/70778880],
[[[1, 8], [2, 3], [4, 4], [12, 1]], 1/147456],
[[[1, 8], [2, 3], [4, 5], [6, 1]], 1/53084160],
[[[1, 8], [2, 3], [5, 1], [8, 2]], 1/368640],
[[[1, 8], [2, 3], [5, 1], [10, 2]], 1/230400],
[[[1, 8], [2, 3], [5, 1], [16, 1]], 1/153600],
[[[1, 8], [2, 3], [5, 2], [6, 2]], 1/345600],
[[[1, 8], [2, 3], [5, 2], [8, 1]], 89/7372800],
[[[1, 8], [2, 3], [5, 2], [10, 1]], 57/512000],
[[[1, 8], [2, 3], [6, 1], [11, 1]], 23/3041280],
[[[1, 8], [2, 3], [6, 1], [22, 1]], 1/681246720],
[[[1, 8], [2, 3], [7, 1], [14, 1]], 55/4816896],
[[[1, 8], [2, 5], [3, 1], [4, 4]], 27491/424673280],
[[[1, 8], [2, 5], [3, 1], [5, 2]], 101/3686400],
[[[1, 8], [2, 5], [3, 1], [6, 4]], 1/59719680],
[[[1, 8], [2, 5], [3, 1], [8, 2]], 1/2949120],
[[[1, 8], [2, 5], [3, 1], [10, 2]], 1/18432000],
[[[1, 8], [2, 5], [3, 1], [16, 1]], 1/221184],
[[[1, 8], [2, 5], [3, 2], [4, 3]], 11537/127401984],
[[[1, 8], [2, 5], [3, 2], [6, 3]], 73/4423680],
[[[1, 8], [2, 5], [3, 2], [7, 1]], 83/3096576],
[[[1, 8], [2, 5], [3, 2], [9, 1]], 871/26542080],
[[[1, 8], [2, 5], [3, 2], [14, 1]], 1/96768],
[[[1, 8], [2, 5], [3, 3], [4, 2]], 503/11943936],
[[[1, 8], [2, 5], [3, 3], [5, 1]], 161/19906560],
[[[1, 8], [2, 5], [3, 3], [6, 2]], 12617/71663616],
[[[1, 8], [2, 5], [3, 3], [8, 1]], 7/2457600],
[[[1, 8], [2, 5], [3, 3], [10, 1]], 19/1866240],
[[[1, 8], [2, 5], [3, 4], [4, 1]], 2821/477757440],
[[[1, 8], [2, 5], [3, 4], [6, 1]], 2593/107495424],
[[[1, 8], [2, 5], [4, 1], [5, 2]], 4273/58982400],
[[[1, 8], [2, 5], [4, 1], [6, 4]], 1/10032906240],
[[[1, 8], [2, 5], [4, 1], [8, 2]], 883/35389440],
[[[1, 8], [2, 5], [4, 1], [10, 2]], 29/516096000],
[[[1, 8], [2, 5], [4, 1], [16, 1]], 1/147456],
[[[1, 8], [2, 5], [4, 2], [6, 3]], 23/3344302080],
[[[1, 8], [2, 5], [4, 2], [7, 1]], 5917/41287680],
[[[1, 8], [2, 5], [4, 2], [14, 1]], 6847/433520640],
[[[1, 8], [2, 5], [4, 3], [5, 1]], 7591/58982400],
[[[1, 8], [2, 5], [4, 3], [6, 2]], 17/35389440],
[[[1, 8], [2, 5], [4, 3], [8, 1]], 14431/70778880],
[[[1, 8], [2, 5], [4, 3], [10, 1]], 119/9830400],
[[[1, 8], [2, 5], [4, 3], [12, 1]], 143/6635520],
[[[1, 8], [2, 5], [4, 4], [6, 1]], 131/21233664],
[[[1, 8], [2, 5], [5, 1], [7, 1]], 4517/103219200],
[[[1, 8], [2, 5], [5, 1], [14, 1]], 1/80640],
[[[1, 8], [2, 5], [5, 2], [6, 1]], 13/921600],
[[[1, 8], [2, 5], [6, 1], [10, 2]], 29/3096576000],
[[[1, 8], [2, 5], [6, 2], [7, 1]], 19/2903040],
[[[1, 8], [2, 5], [6, 2], [14, 1]], 19/867041280],
[[[1, 8], [2, 5], [6, 2], [18, 1]], 113/1114767360],
[[[1, 8], [2, 5], [6, 3], [10, 1]], 1/16721510400],
[[[1, 8], [2, 5], [7, 1], [8, 1]], 14071/1083801600],
[[[1, 8], [2, 5], [7, 1], [10, 1]], 1/44800],
[[[1, 8], [2, 5], [8, 1], [14, 1]], 1/10321920],
[[[1, 8], [2, 5], [10, 1], [14, 1]], 19/481689600],
[[[1, 8], [2, 7], [3, 1], [4, 3]], 40903/891813888],
[[[1, 8], [2, 7], [3, 1], [6, 3]], 791/159252480],
[[[1, 8], [2, 7], [3, 1], [7, 1]], 1469/309657600],
[[[1, 8], [2, 7], [3, 1], [9, 1]], 24401/8360755200],
[[[1, 8], [2, 7], [3, 1], [14, 1]], 1/344064],
[[[1, 8], [2, 7], [3, 2], [4, 2]], 4249/212336640],
[[[1, 8], [2, 7], [3, 2], [5, 1]], 181/79626240],
[[[1, 8], [2, 7], [3, 2], [6, 2]], 16013/353894400],
[[[1, 8], [2, 7], [3, 2], [8, 1]], 19/26542080],
[[[1, 8], [2, 7], [3, 2], [10, 1]], 89/33177600],
[[[1, 8], [2, 7], [3, 3], [4, 1]], 39667/16721510400],
[[[1, 8], [2, 7], [3, 3], [6, 1]], 78707/7166361600],
[[[1, 8], [2, 7], [4, 1], [6, 3]], 1093/5016453120],
[[[1, 8], [2, 7], [4, 1], [7, 1]], 513511/30346444800],
[[[1, 8], [2, 7], [4, 1], [14, 1]], 36331/4335206400],
[[[1, 8], [2, 7], [4, 2], [5, 1]], 239087/6193152000],
[[[1, 8], [2, 7], [4, 2], [6, 2]], 21047/3567255552],
[[[1, 8], [2, 7], [4, 2], [8, 1]], 1782173/29727129600],
[[[1, 8], [2, 7], [4, 2], [10, 1]], 539879/24772608000],
[[[1, 8], [2, 7], [4, 2], [12, 1]], 997/185794560],
[[[1, 8], [2, 7], [4, 3], [6, 1]], 5567/212336640],
[[[1, 8], [2, 7], [5, 1], [6, 2]], 11/6635520],
[[[1, 8], [2, 7], [5, 1], [8, 1]], 1289/774144000],
[[[1, 8], [2, 7], [5, 1], [10, 1]], 611/42467328],
[[[1, 8], [2, 7], [6, 1], [7, 1]], 179/33177600],
[[[1, 8], [2, 7], [6, 1], [14, 1]], 2119/3468165120],
[[[1, 8], [2, 7], [6, 1], [18, 1]], 13301/22295347200],
[[[1, 8], [2, 7], [6, 2], [8, 1]], 1/8847360],
[[[1, 8], [2, 7], [6, 2], [10, 1]], 2437/11147673600],
[[[1, 8], [2, 7], [8, 1], [10, 1]], 11/22118400],
[[[1, 8], [2, 9], [3, 1], [4, 2]], 231377/29727129600],
[[[1, 8], [2, 9], [3, 1], [5, 1]], 10727/44590694400],
[[[1, 8], [2, 9], [3, 1], [6, 2]], 4753/796262400],
[[[1, 8], [2, 9], [3, 1], [8, 1]], 223/1486356480],
[[[1, 8], [2, 9], [3, 1], [10, 1]], 941/774144000],
[[[1, 8], [2, 9], [3, 2], [4, 1]], 8023/7134511104],
[[[1, 8], [2, 9], [3, 2], [6, 1]], 62081/14863564800],
[[[1, 8], [2, 9], [4, 1], [5, 1]], 1499/471859200],
[[[1, 8], [2, 9], [4, 1], [6, 2]], 42179/13377208320],
[[[1, 8], [2, 9], [4, 1], [8, 1]], 14449/3397386240],
[[[1, 8], [2, 9], [4, 1], [10, 1]], 215843/43352064000],
[[[1, 8], [2, 9], [4, 1], [12, 1]], 13/74317824],
[[[1, 8], [2, 9], [4, 2], [6, 1]], 315547/24970788864],
[[[1, 8], [2, 9], [5, 1], [6, 1]], 241/232243200],
[[[1, 8], [2, 9], [6, 1], [8, 1]], 419/1238630400],
[[[1, 8], [2, 9], [6, 1], [10, 1]], 264289/222953472000],
[[[1, 8], [2, 11], [3, 1], [4, 1]], 539/943718400],
[[[1, 8], [2, 11], [3, 1], [6, 1]], 1055951/1070176665600],
[[[1, 8], [2, 11], [4, 1], [6, 1]], 1087777/561842749440],
[[[1, 9], [2, 2], [3, 1], [4, 5]], 1/35389440],
[[[1, 9], [2, 2], [3, 1], [11, 1]], 901/56770560],
[[[1, 9], [2, 2], [3, 2], [4, 4]], 127/53084160],
[[[1, 9], [2, 2], [3, 2], [5, 2]], 209/2764800],
[[[1, 9], [2, 2], [3, 2], [8, 2]], 1/884736],
[[[1, 9], [2, 2], [3, 2], [16, 1]], 1/829440],
[[[1, 9], [2, 2], [3, 3], [4, 3]], 29/6635520],
[[[1, 9], [2, 2], [3, 3], [7, 1]], 1691/34836480],
[[[1, 9], [2, 2], [3, 3], [9, 1]], 259/4976640],
[[[1, 9], [2, 2], [3, 3], [14, 1]], 1/1088640],
[[[1, 9], [2, 2], [3, 4], [4, 2]], 277/26542080],
[[[1, 9], [2, 2], [3, 4], [5, 1]], 71/2985984],
[[[1, 9], [2, 2], [3, 4], [6, 2]], 7/419904],
[[[1, 9], [2, 2], [3, 4], [8, 1]], 77/23887872],
[[[1, 9], [2, 2], [3, 4], [10, 1]], 13/18662400],
[[[1, 9], [2, 2], [3, 5], [4, 1]], 1/110592],
[[[1, 9], [2, 2], [3, 5], [6, 1]], 53/2239488],
[[[1, 9], [2, 2], [4, 1], [11, 1]], 103/8110080],
[[[1, 9], [2, 2], [4, 2], [5, 2]], 809/49152000],
[[[1, 9], [2, 2], [4, 2], [8, 2]], 47/5898240],
[[[1, 9], [2, 2], [4, 3], [7, 1]], 1033/433520640],
[[[1, 9], [2, 2], [4, 4], [5, 1]], 1/921600],
[[[1, 9], [2, 2], [4, 4], [8, 1]], 7/14155776],
[[[1, 9], [2, 2], [4, 4], [12, 1]], 1/2211840],
[[[1, 9], [2, 2], [5, 1], [8, 2]], 1/1228800],
[[[1, 9], [2, 2], [5, 1], [16, 1]], 1/1612800],
[[[1, 9], [2, 2], [5, 2], [6, 2]], 1/4147200],
[[[1, 9], [2, 2], [5, 2], [8, 1]], 1/409600],
[[[1, 9], [2, 2], [5, 2], [10, 1]], 47/2304000],
[[[1, 9], [2, 2], [6, 1], [11, 1]], 1/3041280],
[[[1, 9], [2, 2], [7, 1], [14, 1]], 1087/2023096320],
[[[1, 9], [2, 4], [3, 1], [4, 4]], 196673/8918138880],
[[[1, 9], [2, 4], [3, 1], [5, 2]], 27499/663552000],
[[[1, 9], [2, 4], [3, 1], [8, 2]], 1/1769472],
[[[1, 9], [2, 4], [3, 1], [16, 1]], 1/552960],
[[[1, 9], [2, 4], [3, 2], [4, 3]], 61643/955514880],
[[[1, 9], [2, 4], [3, 2], [6, 3]], 103/39813120],
[[[1, 9], [2, 4], [3, 2], [7, 1]], 2587/61931520],
[[[1, 9], [2, 4], [3, 2], [9, 1]], 521/15925248],
[[[1, 9], [2, 4], [3, 2], [14, 1]], 1/193536],
[[[1, 9], [2, 4], [3, 3], [4, 2]], 10039/159252480],
[[[1, 9], [2, 4], [3, 3], [5, 1]], 24377/1194393600],
[[[1, 9], [2, 4], [3, 3], [6, 2]], 33731/358318080],
[[[1, 9], [2, 4], [3, 3], [8, 1]], 19/3317760],
[[[1, 9], [2, 4], [3, 3], [10, 1]], 121/18662400],
[[[1, 9], [2, 4], [3, 4], [4, 1]], 5441/286654464],
[[[1, 9], [2, 4], [3, 4], [6, 1]], 25841/537477120],
[[[1, 9], [2, 4], [4, 1], [5, 2]], 5269/73728000],
[[[1, 9], [2, 4], [4, 1], [8, 2]], 17/2211840],
[[[1, 9], [2, 4], [4, 1], [10, 2]], 1/825753600],
[[[1, 9], [2, 4], [4, 1], [16, 1]], 1/737280],
[[[1, 9], [2, 4], [4, 2], [7, 1]], 23507/289013760],
[[[1, 9], [2, 4], [4, 2], [14, 1]], 5/3211264],
[[[1, 9], [2, 4], [4, 3], [5, 1]], 19711/371589120],
[[[1, 9], [2, 4], [4, 3], [6, 2]], 1/1486356480],
[[[1, 9], [2, 4], [4, 3], [8, 1]], 6163/110100480],
[[[1, 9], [2, 4], [4, 3], [10, 1]], 953/412876800],
[[[1, 9], [2, 4], [4, 3], [12, 1]], 1/163840],
[[[1, 9], [2, 4], [4, 4], [6, 1]], 47/106168320],
[[[1, 9], [2, 4], [5, 1], [7, 1]], 102433/2167603200],
[[[1, 9], [2, 4], [5, 1], [14, 1]], 1/268800],
[[[1, 9], [2, 4], [5, 2], [6, 1]], 847/165888000],
[[[1, 9], [2, 4], [6, 2], [7, 1]], 13/6773760],
[[[1, 9], [2, 4], [6, 2], [18, 1]], 1/1114767360],
[[[1, 9], [2, 4], [7, 1], [8, 1]], 1663/216760320],
[[[1, 9], [2, 4], [7, 1], [10, 1]], 29/4233600],
[[[1, 9], [2, 4], [10, 1], [14, 1]], 1/1445068800],
[[[1, 9], [2, 6], [3, 1], [4, 3]], 19681/318504960],
[[[1, 9], [2, 6], [3, 1], [6, 3]], 9577/4459069440],
[[[1, 9], [2, 6], [3, 1], [7, 1]], 296231/26011238400],
[[[1, 9], [2, 6], [3, 1], [9, 1]], 21707/4777574400],
[[[1, 9], [2, 6], [3, 1], [14, 1]], 41/15482880],
[[[1, 9], [2, 6], [3, 2], [4, 2]], 40297/849346560],
[[[1, 9], [2, 6], [3, 2], [5, 1]], 51757/5971968000],
[[[1, 9], [2, 6], [3, 2], [6, 2]], 27353/637009920],
[[[1, 9], [2, 6], [3, 2], [8, 1]], 893/398131200],
[[[1, 9], [2, 6], [3, 2], [10, 1]], 7/1327104],
[[[1, 9], [2, 6], [3, 3], [4, 1]], 4507/398131200],
[[[1, 9], [2, 6], [3, 3], [6, 1]], 351161/14332723200],
[[[1, 9], [2, 6], [4, 1], [6, 3]], 89/13377208320],
[[[1, 9], [2, 6], [4, 1], [7, 1]], 243121/8670412800],
[[[1, 9], [2, 6], [4, 1], [14, 1]], 14453/3468165120],
[[[1, 9], [2, 6], [4, 2], [5, 1]], 196447/3538944000],
[[[1, 9], [2, 6], [4, 2], [6, 2]], 2767/1486356480],
[[[1, 9], [2, 6], [4, 2], [8, 1]], 543049/9909043200],
[[[1, 9], [2, 6], [4, 2], [10, 1]], 11083/1238630400],
[[[1, 9], [2, 6], [4, 2], [12, 1]], 113/26542080],
[[[1, 9], [2, 6], [4, 3], [6, 1]], 593/61931520],
[[[1, 9], [2, 6], [5, 1], [6, 2]], 17/11059200],
[[[1, 9], [2, 6], [5, 1], [8, 1]], 353/129024000],
[[[1, 9], [2, 6], [5, 1], [10, 1]], 93167/8257536000],
[[[1, 9], [2, 6], [6, 1], [7, 1]], 1019/180633600],
[[[1, 9], [2, 6], [6, 1], [14, 1]], 143/5202247680],
[[[1, 9], [2, 6], [6, 1], [18, 1]], 17/445906944],
[[[1, 9], [2, 6], [6, 2], [8, 1]], 1/212336640],
[[[1, 9], [2, 6], [6, 2], [10, 1]], 59/11147673600],
[[[1, 9], [2, 6], [8, 1], [10, 1]], 1/6553600],
[[[1, 9], [2, 8], [3, 1], [4, 2]], 315547/24970788864],
[[[1, 9], [2, 8], [3, 1], [5, 1]], 264289/222953472000],
[[[1, 9], [2, 8], [3, 1], [6, 2]], 62081/14863564800],
[[[1, 9], [2, 8], [3, 1], [8, 1]], 419/1238630400],
[[[1, 9], [2, 8], [3, 1], [10, 1]], 241/232243200],
[[[1, 9], [2, 8], [3, 2], [4, 1]], 42179/13377208320],
[[[1, 9], [2, 8], [3, 2], [6, 1]], 4753/796262400],
[[[1, 9], [2, 8], [4, 1], [5, 1]], 215843/43352064000],
[[[1, 9], [2, 8], [4, 1], [6, 2]], 8023/7134511104],
[[[1, 9], [2, 8], [4, 1], [8, 1]], 14449/3397386240],
[[[1, 9], [2, 8], [4, 1], [10, 1]], 1499/471859200],
[[[1, 9], [2, 8], [4, 1], [12, 1]], 13/74317824],
[[[1, 9], [2, 8], [4, 2], [6, 1]], 231377/29727129600],
[[[1, 9], [2, 8], [5, 1], [6, 1]], 941/774144000],
[[[1, 9], [2, 8], [6, 1], [8, 1]], 223/1486356480],
[[[1, 9], [2, 8], [6, 1], [10, 1]], 10727/44590694400],
[[[1, 9], [2, 10], [3, 1], [4, 1]], 17029/19818086400],
[[[1, 9], [2, 10], [3, 1], [6, 1]], 1542553/1664719257600],
[[[1, 9], [2, 10], [4, 1], [6, 1]], 1586303/1248539443200],
[[[1, 9], [3, 1], [4, 2], [5, 2]], 49/55296000],
[[[1, 9], [3, 1], [4, 4], [5, 1]], 1/132710400],
[[[1, 9], [3, 1], [5, 1], [8, 2]], 1/2764800],
[[[1, 9], [3, 1], [7, 1], [9, 1]], 5/508032],
[[[1, 9], [3, 2], [4, 2], [7, 1]], 1/737280],
[[[1, 9], [3, 2], [4, 2], [9, 1]], 1/1327104],
[[[1, 9], [3, 2], [5, 1], [7, 1]], 19/483840],
[[[1, 9], [3, 2], [5, 1], [9, 1]], 221/12441600],
[[[1, 9], [3, 3], [4, 2], [5, 1]], 137/99532800],
[[[1, 9], [3, 3], [4, 2], [12, 1]], 1/1866240],
[[[1, 9], [3, 4], [4, 1], [8, 1]], 13/29859840],
[[[1, 9], [4, 1], [5, 2], [8, 1]], 1/1843200],
[[[1, 9], [4, 2], [5, 1], [7, 1]], 37/180633600],
[[[1, 9], [4, 2], [7, 1], [12, 1]], 1/3386880],
[[[1, 10], [2, 1], [3, 1], [4, 5]], 1/743178240],
[[[1, 10], [2, 1], [3, 1], [11, 1]], 31/17031168],
[[[1, 10], [2, 1], [3, 2], [4, 4]], 1/318504960],
[[[1, 10], [2, 1], [3, 2], [5, 2]], 31/1382400],
[[[1, 10], [2, 1], [3, 2], [8, 2]], 1/6635520],
[[[1, 10], [2, 1], [3, 2], [16, 1]], 1/23224320],
[[[1, 10], [2, 1], [3, 3], [4, 3]], 119/238878720],
[[[1, 10], [2, 1], [3, 3], [7, 1]], 239/17418240],
[[[1, 10], [2, 1], [3, 3], [9, 1]], 127/14929920],
[[[1, 10], [2, 1], [3, 4], [4, 2]], 71/159252480],
[[[1, 10], [2, 1], [3, 4], [5, 1]], 167/14929920],
[[[1, 10], [2, 1], [3, 4], [8, 1]], 37/119439360],
[[[1, 10], [2, 1], [3, 5], [4, 1]], 79/44789760],
[[[1, 10], [2, 1], [3, 5], [6, 1]], 1/349920],
[[[1, 10], [2, 1], [4, 1], [11, 1]], 13/24330240],
[[[1, 10], [2, 1], [4, 2], [5, 2]], 41/172032000],
[[[1, 10], [2, 1], [4, 2], [8, 2]], 1/8847360],
[[[1, 10], [2, 1], [4, 3], [7, 1]], 47/433520640],
[[[1, 10], [2, 1], [4, 4], [5, 1]], 1/619315200],
[[[1, 10], [2, 1], [5, 1], [8, 2]], 1/12902400],
[[[1, 10], [2, 1], [5, 1], [16, 1]], 1/58060800],
[[[1, 10], [2, 1], [5, 2], [8, 1]], 1/7372800],
[[[1, 10], [2, 1], [5, 2], [10, 1]], 1/921600],
[[[1, 10], [2, 1], [7, 1], [14, 1]], 1/2601123840],
[[[1, 10], [2, 3], [3, 1], [4, 4]], 1/645120],
[[[1, 10], [2, 3], [3, 1], [5, 2]], 191/6144000],
[[[1, 10], [2, 3], [3, 1], [8, 2]], 1/4423680],
[[[1, 10], [2, 3], [3, 1], [16, 1]], 1/3870720],
[[[1, 10], [2, 3], [3, 2], [4, 3]], 164617/13377208320],
[[[1, 10], [2, 3], [3, 2], [6, 3]], 1/6967296],
[[[1, 10], [2, 3], [3, 2], [7, 1]], 1343/46448640],
[[[1, 10], [2, 3], [3, 2], [9, 1]], 3781/278691840],
[[[1, 10], [2, 3], [3, 2], [14, 1]], 1/1451520],
[[[1, 10], [2, 3], [3, 3], [4, 2]], 6319/238878720],
[[[1, 10], [2, 3], [3, 3], [5, 1]], 2507/99532800],
[[[1, 10], [2, 3], [3, 3], [6, 2]], 17713/1074954240],
[[[1, 10], [2, 3], [3, 3], [8, 1]], 329/119439360],
[[[1, 10], [2, 3], [3, 3], [10, 1]], 11/9331200],
[[[1, 10], [2, 3], [3, 4], [4, 1]], 24919/1433272320],
[[[1, 10], [2, 3], [3, 4], [6, 1]], 101/3732480],
[[[1, 10], [2, 3], [4, 1], [5, 2]], 82421/3096576000],
[[[1, 10], [2, 3], [4, 1], [8, 2]], 11/11796480],
[[[1, 10], [2, 3], [4, 1], [16, 1]], 1/10321920],
[[[1, 10], [2, 3], [4, 2], [7, 1]], 103/6422528],
[[[1, 10], [2, 3], [4, 2], [14, 1]], 1/18063360],
[[[1, 10], [2, 3], [4, 3], [5, 1]], 25627/4777574400],
[[[1, 10], [2, 3], [4, 3], [8, 1]], 4079/990904320],
[[[1, 10], [2, 3], [4, 3], [10, 1]], 1/7372800],
[[[1, 10], [2, 3], [4, 3], [12, 1]], 1/1474560],
[[[1, 10], [2, 3], [4, 4], [6, 1]], 1/743178240],
[[[1, 10], [2, 3], [5, 1], [7, 1]], 8693/361267200],
[[[1, 10], [2, 3], [5, 1], [14, 1]], 1/2822400],
[[[1, 10], [2, 3], [5, 2], [6, 1]], 41/64512000],
[[[1, 10], [2, 3], [6, 2], [7, 1]], 1/4515840],
[[[1, 10], [2, 3], [7, 1], [8, 1]], 53/30965760],
[[[1, 10], [2, 3], [7, 1], [10, 1]], 1/1254400],
[[[1, 10], [2, 5], [3, 1], [4, 3]], 19387/557383680],
[[[1, 10], [2, 5], [3, 1], [6, 3]], 2033/4459069440],
[[[1, 10], [2, 5], [3, 1], [7, 1]], 3553/289013760],
[[[1, 10], [2, 5], [3, 1], [9, 1]], 167/53084160],
[[[1, 10], [2, 5], [3, 1], [14, 1]], 1/967680],
[[[1, 10], [2, 5], [3, 2], [4, 2]], 30413/637009920],
[[[1, 10], [2, 5], [3, 2], [5, 1]], 149/10616832],
[[[1, 10], [2, 5], [3, 2], [6, 2]], 500693/26754416640],
[[[1, 10], [2, 5], [3, 2], [8, 1]], 9631/3715891200],
[[[1, 10], [2, 5], [3, 2], [10, 1]], 73/24883200],
[[[1, 10], [2, 5], [3, 3], [4, 1]], 95237/4777574400],
[[[1, 10], [2, 5], [3, 3], [6, 1]], 241463/8599633920],
[[[1, 10], [2, 5], [4, 1], [7, 1]], 183587/8670412800],
[[[1, 10], [2, 5], [4, 1], [14, 1]], 139/165150720],
[[[1, 10], [2, 5], [4, 2], [5, 1]], 45349/1238630400],
[[[1, 10], [2, 5], [4, 2], [6, 2]], 3209/11890851840],
[[[1, 10], [2, 5], [4, 2], [8, 1]], 32573/1321205760],
[[[1, 10], [2, 5], [4, 2], [10, 1]], 6313/3303014400],
[[[1, 10], [2, 5], [4, 2], [12, 1]], 79/46448640],
[[[1, 10], [2, 5], [4, 3], [6, 1]], 3767/2229534720],
[[[1, 10], [2, 5], [5, 1], [6, 2]], 101/174182400],
[[[1, 10], [2, 5], [5, 1], [8, 1]], 7679/3981312000],
[[[1, 10], [2, 5], [5, 1], [10, 1]], 979/221184000],
[[[1, 10], [2, 5], [6, 1], [7, 1]], 79/36126720],
[[[1, 10], [2, 5], [6, 1], [14, 1]], 1/3468165120],
[[[1, 10], [2, 5], [6, 1], [18, 1]], 1/1486356480],
[[[1, 10], [2, 5], [8, 1], [10, 1]], 1/22118400],
[[[1, 10], [2, 7], [3, 1], [4, 2]], 183149/9909043200],
[[[1, 10], [2, 7], [3, 1], [5, 1]], 332611/111476736000],
[[[1, 10], [2, 7], [3, 1], [6, 2]], 7751/3185049600],
[[[1, 10], [2, 7], [3, 1], [8, 1]], 2221/3715891200],
[[[1, 10], [2, 7], [3, 1], [10, 1]], 307/265420800],
[[[1, 10], [2, 7], [3, 2], [4, 1]], 4725383/624269721600],
[[[1, 10], [2, 7], [3, 2], [6, 1]], 567911/66886041600],
[[[1, 10], [2, 7], [4, 1], [5, 1]], 35965693/4682022912000],
[[[1, 10], [2, 7], [4, 1], [6, 2]], 449/849346560],
[[[1, 10], [2, 7], [4, 1], [8, 1]], 190837/50960793600],
[[[1, 10], [2, 7], [4, 1], [10, 1]], 4027/2123366400],
[[[1, 10], [2, 7], [4, 1], [12, 1]], 199/1114767360],
[[[1, 10], [2, 7], [4, 2], [6, 1]], 47669/11890851840],
[[[1, 10], [2, 7], [5, 1], [6, 1]], 593/435456000],
[[[1, 10], [2, 7], [6, 1], [8, 1]], 103/1061683200],
[[[1, 10], [2, 7], [6, 1], [10, 1]], 53/550502400],
[[[1, 10], [2, 9], [3, 1], [4, 1]], 1586303/1248539443200],
[[[1, 10], [2, 9], [3, 1], [6, 1]], 1542553/1664719257600],
[[[1, 10], [2, 9], [4, 1], [6, 1]], 17029/19818086400],
[[[1, 11], [2, 2], [3, 1], [4, 4]], 29/371589120],
[[[1, 11], [2, 2], [3, 1], [5, 2]], 1361/154828800],
[[[1, 11], [2, 2], [3, 1], [8, 2]], 1/30965760],
[[[1, 11], [2, 2], [3, 1], [16, 1]], 1/69672960],
[[[1, 11], [2, 2], [3, 2], [4, 3]], 1/2211840],
[[[1, 11], [2, 2], [3, 2], [7, 1]], 5191/650280960],
[[[1, 11], [2, 2], [3, 2], [9, 1]], 649/278691840],
[[[1, 11], [2, 2], [3, 2], [14, 1]], 1/40642560],
[[[1, 11], [2, 2], [3, 3], [4, 2]], 377/123863040],
[[[1, 11], [2, 2], [3, 3], [5, 1]], 42799/4180377600],
[[[1, 11], [2, 2], [3, 3], [6, 2]], 1361/1504935936],
[[[1, 11], [2, 2], [3, 3], [8, 1]], 23/59719680],
[[[1, 11], [2, 2], [3, 3], [10, 1]], 17/261273600],
[[[1, 11], [2, 2], [3, 4], [4, 1]], 2233/477757440],
[[[1, 11], [2, 2], [3, 4], [6, 1]], 431/89579520],
[[[1, 11], [2, 2], [4, 1], [5, 2]], 1831/516096000],
[[[1, 11], [2, 2], [4, 1], [8, 2]], 1/24772608],
[[[1, 11], [2, 2], [4, 1], [16, 1]], 1/464486400],
[[[1, 11], [2, 2], [4, 2], [7, 1]], 781/867041280],
[[[1, 11], [2, 2], [4, 2], [14, 1]], 1/812851200],
[[[1, 11], [2, 2], [4, 3], [5, 1]], 107/696729600],
[[[1, 11], [2, 2], [4, 3], [8, 1]], 1157/14863564800],
[[[1, 11], [2, 2], [4, 3], [12, 1]], 1/30965760],
[[[1, 11], [2, 2], [4, 4], [6, 1]], 1/33443020800],
[[[1, 11], [2, 2], [5, 1], [7, 1]], 16621/3251404800],
[[[1, 11], [2, 2], [5, 1], [14, 1]], 1/101606400],
[[[1, 11], [2, 2], [5, 2], [6, 1]], 79/3483648000],
[[[1, 11], [2, 2], [6, 2], [7, 1]], 1/121927680],
[[[1, 11], [2, 2], [7, 1], [8, 1]], 11/72253440],
[[[1, 11], [2, 2], [7, 1], [10, 1]], 1/33868800],
[[[1, 11], [2, 4], [3, 1], [4, 3]], 274699/40131624960],
[[[1, 11], [2, 4], [3, 1], [6, 3]], 17/418037760],
[[[1, 11], [2, 4], [3, 1], [7, 1]], 3817/578027520],
[[[1, 11], [2, 4], [3, 1], [9, 1]], 11657/11147673600],
[[[1, 11], [2, 4], [3, 1], [14, 1]], 1/6773760],
[[[1, 11], [2, 4], [3, 2], [4, 2]], 3857/212336640],
[[[1, 11], [2, 4], [3, 2], [5, 1]], 12683/1114767360],
[[[1, 11], [2, 4], [3, 2], [6, 2]], 93181/26754416640],
[[[1, 11], [2, 4], [3, 2], [8, 1]], 13/12386304],
[[[1, 11], [2, 4], [3, 2], [10, 1]], 61/99532800],
[[[1, 11], [2, 4], [3, 3], [4, 1]], 9821/716636160],
[[[1, 11], [2, 4], [3, 3], [6, 1]], 389167/30098718720],
[[[1, 11], [2, 4], [4, 1], [7, 1]], 2101/289013760],
[[[1, 11], [2, 4], [4, 1], [14, 1]], 1/15482880],
[[[1, 11], [2, 4], [4, 2], [5, 1]], 107003/11147673600],
[[[1, 11], [2, 4], [4, 2], [6, 2]], 53/4180377600],
[[[1, 11], [2, 4], [4, 2], [8, 1]], 55801/11890851840],
[[[1, 11], [2, 4], [4, 2], [10, 1]], 133/663552000],
[[[1, 11], [2, 4], [4, 2], [12, 1]], 619/2090188800],
[[[1, 11], [2, 4], [4, 3], [6, 1]], 47/318504960],
[[[1, 11], [2, 4], [5, 1], [6, 2]], 199/2090188800],
[[[1, 11], [2, 4], [5, 1], [8, 1]], 197/348364800],
[[[1, 11], [2, 4], [5, 1], [10, 1]], 7271/8918138880],
[[[1, 11], [2, 4], [6, 1], [7, 1]], 353/975421440],
[[[1, 11], [2, 4], [8, 1], [10, 1]], 1/154828800],
[[[1, 11], [2, 6], [3, 1], [4, 2]], 410569/29727129600],
[[[1, 11], [2, 6], [3, 1], [5, 1]], 3520709/1003290624000],
[[[1, 11], [2, 6], [3, 1], [6, 2]], 19667/26754416640],
[[[1, 11], [2, 6], [3, 1], [8, 1]], 16403/33443020800],
[[[1, 11], [2, 6], [3, 1], [10, 1]], 1/1814400],
[[[1, 11], [2, 6], [3, 2], [4, 1]], 983/110100480],
[[[1, 11], [2, 6], [3, 2], [6, 1]], 28477/4180377600],
[[[1, 11], [2, 6], [4, 1], [5, 1]], 709369/111476736000],
[[[1, 11], [2, 6], [4, 1], [6, 2]], 241/1698693120],
[[[1, 11], [2, 6], [4, 1], [8, 1]], 3525409/1783627776000],
[[[1, 11], [2, 6], [4, 1], [10, 1]], 1847/3303014400],
[[[1, 11], [2, 6], [4, 1], [12, 1]], 53/557383680],
[[[1, 11], [2, 6], [4, 2], [6, 1]], 558739/535088332800],
[[[1, 11], [2, 6], [5, 1], [6, 1]], 3809/5971968000],
[[[1, 11], [2, 6], [6, 1], [8, 1]], 1/20643840],
[[[1, 11], [2, 6], [6, 1], [10, 1]], 449/14863564800],
[[[1, 11], [2, 8], [3, 1], [4, 1]], 1087777/561842749440],
[[[1, 11], [2, 8], [3, 1], [6, 1]], 1055951/1070176665600],
[[[1, 11], [2, 8], [4, 1], [6, 1]], 539/943718400],
[[[1, 11], [3, 1], [4, 2], [7, 1]], 1/28901376],
[[[1, 11], [3, 1], [4, 2], [9, 1]], 1/132710400],
[[[1, 11], [3, 1], [5, 1], [7, 1]], 221/135475200],
[[[1, 11], [3, 1], [5, 1], [9, 1]], 2273/8360755200],
[[[1, 11], [3, 2], [4, 2], [5, 1]], 37/464486400],
[[[1, 11], [3, 2], [4, 2], [12, 1]], 1/69672960],
[[[1, 11], [3, 3], [4, 1], [8, 1]], 17/418037760],
[[[1, 11], [4, 1], [7, 1], [8, 1]], 1/54190080],
[[[1, 11], [4, 2], [5, 1], [12, 1]], 1/174182400],
[[[1, 12], [2, 1], [3, 1], [4, 4]], 1/26754416640],
[[[1, 12], [2, 1], [3, 1], [5, 2]], 359/387072000],
[[[1, 12], [2, 1], [3, 1], [8, 2]], 1/557383680],
[[[1, 12], [2, 1], [3, 1], [16, 1]], 1/3832012800],
[[[1, 12], [2, 1], [3, 2], [4, 3]], 41/2229534720],
[[[1, 12], [2, 1], [3, 2], [7, 1]], 277/325140480],
[[[1, 12], [2, 1], [3, 2], [9, 1]], 239/1433272320],
[[[1, 12], [2, 1], [3, 3], [4, 2]], 11/278691840],
[[[1, 12], [2, 1], [3, 3], [5, 1]], 2959/2090188800],
[[[1, 12], [2, 1], [3, 3], [8, 1]], 13/836075520],
[[[1, 12], [2, 1], [3, 4], [4, 1]], 3547/10032906240],
[[[1, 12], [2, 1], [3, 4], [6, 1]], 47/179159040],
[[[1, 12], [2, 1], [4, 1], [5, 2]], 787/5308416000],
[[[1, 12], [2, 1], [4, 1], [8, 2]], 1/3715891200],
[[[1, 12], [2, 1], [4, 2], [7, 1]], 41/4335206400],
[[[1, 12], [2, 1], [4, 3], [5, 1]], 19/3981312000],
[[[1, 12], [2, 1], [4, 3], [8, 1]], 1/707788800],
[[[1, 12], [2, 1], [4, 3], [12, 1]], 1/1393459200],
[[[1, 12], [2, 1], [5, 1], [7, 1]], 1891/4335206400],
[[[1, 12], [2, 1], [7, 1], [8, 1]], 1/216760320],
[[[1, 12], [2, 3], [3, 1], [4, 3]], 187493/441447874560],
[[[1, 12], [2, 3], [3, 1], [6, 3]], 1/836075520],
[[[1, 12], [2, 3], [3, 1], [7, 1]], 6547/3901685760],
[[[1, 12], [2, 3], [3, 1], [9, 1]], 157/928972800],
[[[1, 12], [2, 3], [3, 1], [14, 1]], 1/121927680],
[[[1, 12], [2, 3], [3, 2], [4, 2]], 34273/13377208320],
[[[1, 12], [2, 3], [3, 2], [5, 1]], 59/14745600],
[[[1, 12], [2, 3], [3, 2], [6, 2]], 335381/1203948748800],
[[[1, 12], [2, 3], [3, 2], [8, 1]], 47/278691840],
[[[1, 12], [2, 3], [3, 2], [10, 1]], 11/209018880],
[[[1, 12], [2, 3], [3, 3], [4, 1]], 37153/10032906240],
[[[1, 12], [2, 3], [3, 3], [6, 1]], 8299/3344302080],
[[[1, 12], [2, 3], [4, 1], [7, 1]], 14563/13005619200],
[[[1, 12], [2, 3], [4, 1], [14, 1]], 1/541900800],
[[[1, 12], [2, 3], [4, 2], [5, 1]], 7/7077888],
[[[1, 12], [2, 3], [4, 2], [8, 1]], 22009/59454259200],
[[[1, 12], [2, 3], [4, 2], [10, 1]], 47/4644864000],
[[[1, 12], [2, 3], [4, 2], [12, 1]], 31/1393459200],
[[[1, 12], [2, 3], [4, 3], [6, 1]], 173/33443020800],
[[[1, 12], [2, 3], [5, 1], [6, 2]], 1/149299200],
[[[1, 12], [2, 3], [5, 1], [8, 1]], 103/1393459200],
[[[1, 12], [2, 3], [5, 1], [10, 1]], 1699/24772608000],
[[[1, 12], [2, 3], [6, 1], [7, 1]], 41/1625702400],
[[[1, 12], [2, 3], [8, 1], [10, 1]], 1/2322432000],
[[[1, 12], [2, 5], [3, 1], [4, 2]], 44563/9555148800],
[[[1, 12], [2, 5], [3, 1], [5, 1]], 48239/22295347200],
[[[1, 12], [2, 5], [3, 1], [6, 2]], 77/716636160],
[[[1, 12], [2, 5], [3, 1], [8, 1]], 107021/613122048000],
[[[1, 12], [2, 5], [3, 1], [10, 1]], 61/522547200],
[[[1, 12], [2, 5], [3, 2], [4, 1]], 435811/89181388800],
[[[1, 12], [2, 5], [3, 2], [6, 1]], 1578109/601974374400],
[[[1, 12], [2, 5], [4, 1], [5, 1]], 63887/24772608000],
[[[1, 12], [2, 5], [4, 1], [6, 2]], 151/8360755200],
[[[1, 12], [2, 5], [4, 1], [8, 1]], 186763/356725555200],
[[[1, 12], [2, 5], [4, 1], [10, 1]], 221/2786918400],
[[[1, 12], [2, 5], [4, 1], [12, 1]], 29/1194393600],
[[[1, 12], [2, 5], [4, 2], [6, 1]], 773/5573836800],
[[[1, 12], [2, 5], [5, 1], [6, 1]], 41/298598400],
[[[1, 12], [2, 5], [6, 1], [8, 1]], 17/1393459200],
[[[1, 12], [2, 5], [6, 1], [10, 1]], 1/232243200],
[[[1, 12], [2, 7], [3, 1], [4, 1]], 1618747/953745408000],
[[[1, 12], [2, 7], [3, 1], [6, 1]], 121571/200658124800],
[[[1, 12], [2, 7], [4, 1], [6, 1]], 547109/2675441664000],
[[[1, 13], [2, 2], [3, 1], [4, 3]], 703/81749606400],
[[[1, 13], [2, 2], [3, 1], [7, 1]], 48709/245248819200],
[[[1, 13], [2, 2], [3, 1], [9, 1]], 127/9555148800],
[[[1, 13], [2, 2], [3, 1], [14, 1]], 1/6706022400],
[[[1, 13], [2, 2], [3, 2], [4, 2]], 24653/217998950400],
[[[1, 13], [2, 2], [3, 2], [5, 1]], 5143/8360755200],
[[[1, 13], [2, 2], [3, 2], [6, 2]], 101071/13243436236800],
[[[1, 13], [2, 2], [3, 2], [8, 1]], 19/1672151040],
[[[1, 13], [2, 2], [3, 2], [10, 1]], 173/114960384000],
[[[1, 13], [2, 2], [3, 3], [4, 1]], 281/716636160],
[[[1, 13], [2, 2], [3, 3], [6, 1]], 13423/66886041600],
[[[1, 13], [2, 2], [4, 1], [7, 1]], 181/2477260800],
[[[1, 13], [2, 2], [4, 1], [14, 1]], 1/53648179200],
[[[1, 13], [2, 2], [4, 2], [5, 1]], 16007/445906944000],
[[[1, 13], [2, 2], [4, 2], [8, 1]], 20893/1961990553600],
[[[1, 13], [2, 2], [4, 2], [10, 1]], 1/4644864000],
[[[1, 13], [2, 2], [4, 2], [12, 1]], 1/1393459200],
[[[1, 13], [2, 2], [4, 3], [6, 1]], 1/2207239372800],
[[[1, 13], [2, 2], [5, 1], [6, 2]], 1/6270566400],
[[[1, 13], [2, 2], [5, 1], [8, 1]], 1/232243200],
[[[1, 13], [2, 2], [5, 1], [10, 1]], 37/15925248000],
[[[1, 13], [2, 2], [6, 1], [7, 1]], 1/1625702400],
[[[1, 13], [2, 2], [8, 1], [10, 1]], 1/76640256000],
[[[1, 13], [2, 4], [3, 1], [4, 2]], 58159/81749606400],
[[[1, 13], [2, 4], [3, 1], [5, 1]], 2472049/3678732288000],
[[[1, 13], [2, 4], [3, 1], [6, 2]], 523/68976230400],
[[[1, 13], [2, 4], [3, 1], [8, 1]], 599/20437401600],
[[[1, 13], [2, 4], [3, 1], [10, 1]], 677/57480192000],
[[[1, 13], [2, 4], [3, 2], [4, 1]], 50153/40131624960],
[[[1, 13], [2, 4], [3, 2], [6, 1]], 163477/331085905920],
[[[1, 13], [2, 4], [4, 1], [5, 1]], 3179/6193152000],
[[[1, 13], [2, 4], [4, 1], [6, 2]], 281/275904921600],
[[[1, 13], [2, 4], [4, 1], [8, 1]], 4973/71345111040],
[[[1, 13], [2, 4], [4, 1], [10, 1]], 421/76640256000],
[[[1, 13], [2, 4], [4, 1], [12, 1]], 421/137952460800],
[[[1, 13], [2, 4], [4, 2], [6, 1]], 29/2786918400],
[[[1, 13], [2, 4], [5, 1], [6, 1]], 127/8957952000],
[[[1, 13], [2, 4], [6, 1], [8, 1]], 281/183936614400],
[[[1, 13], [2, 4], [6, 1], [10, 1]], 1/3483648000],
[[[1, 13], [2, 6], [3, 1], [4, 1]], 3793589/4904976384000],
[[[1, 13], [2, 6], [3, 1], [6, 1]], 69069449/353158299648000],
[[[1, 13], [2, 6], [4, 1], [6, 1]], 165413/4414478745600],
[[[1, 13], [3, 1], [4, 2], [5, 1]], 349/306561024000],
[[[1, 13], [3, 1], [4, 2], [12, 1]], 1/11496038400],
[[[1, 13], [3, 2], [4, 1], [8, 1]], 173/183936614400],
[[[1, 13], [4, 1], [5, 1], [8, 1]], 1/2786918400],
[[[1, 14], [2, 1], [3, 1], [4, 3]], 29/147149291520],
[[[1, 14], [2, 1], [3, 1], [7, 1]], 8851/858370867200],
[[[1, 14], [2, 1], [3, 1], [9, 1]], 103/220723937280],
[[[1, 14], [2, 1], [3, 2], [4, 2]], 13/15328051200],
[[[1, 14], [2, 1], [3, 2], [5, 1]], 1361/33443020800],
[[[1, 14], [2, 1], [3, 2], [8, 1]], 197/735746457600],
[[[1, 14], [2, 1], [3, 3], [4, 1]], 3431/264868724736],
[[[1, 14], [2, 1], [3, 3], [6, 1]], 11927/2207239372800],
[[[1, 14], [2, 1], [4, 1], [7, 1]], 257/156067430400],
[[[1, 14], [2, 1], [4, 1], [14, 1]], 1/4881984307200],
[[[1, 14], [2, 1], [4, 2], [5, 1]], 13/51093504000],
[[[1, 14], [2, 1], [4, 2], [8, 1]], 2003/44635285094400],
[[[1, 14], [2, 1], [4, 2], [12, 1]], 1/91968307200],
[[[1, 14], [2, 1], [4, 3], [6, 1]], 1/200858782924800],
[[[1, 14], [2, 1], [5, 1], [8, 1]], 1/11147673600],
[[[1, 14], [2, 1], [5, 1], [10, 1]], 1/44590694400],
[[[1, 14], [2, 1], [8, 1], [10, 1]], 1/6974263296000],
[[[1, 14], [2, 3], [3, 1], [4, 2]], 3613/76441190400],
[[[1, 14], [2, 3], [3, 1], [5, 1]], 260137/2452488192000],
[[[1, 14], [2, 3], [3, 1], [6, 2]], 793/3310859059200],
[[[1, 14], [2, 3], [3, 1], [8, 1]], 449/183936614400],
[[[1, 14], [2, 3], [3, 1], [10, 1]], 31/57480192000],
[[[1, 14], [2, 3], [3, 2], [4, 1]], 106567/706316599296],
[[[1, 14], [2, 3], [3, 2], [6, 1]], 68017/1471492915200],
[[[1, 14], [2, 3], [4, 1], [5, 1]], 9649/191102976000],
[[[1, 14], [2, 3], [4, 1], [6, 2]], 167/8369115955200],
[[[1, 14], [2, 3], [4, 1], [8, 1]], 18421/3923981107200],
[[[1, 14], [2, 3], [4, 1], [10, 1]], 1297/6974263296000],
[[[1, 14], [2, 3], [4, 1], [12, 1]], 2389/12553673932800],
[[[1, 14], [2, 3], [4, 2], [6, 1]], 91/210213273600],
[[[1, 14], [2, 3], [5, 1], [6, 1]], 13/19160064000],
[[[1, 14], [2, 3], [6, 1], [8, 1]], 59/619934515200],
[[[1, 14], [2, 3], [6, 1], [10, 1]], 1/114960384000],
[[[1, 14], [2, 5], [3, 1], [4, 1]], 2721991/14714929152000],
[[[1, 14], [2, 5], [3, 1], [6, 1]], 7234441/211894979788800],
[[[1, 14], [2, 5], [4, 1], [6, 1]], 494843/133905855283200],
[[[1, 15], [2, 2], [3, 1], [4, 2]], 70121/59513713459200],
[[[1, 15], [2, 2], [3, 1], [5, 1]], 12569/1471492915200],
[[[1, 15], [2, 2], [3, 1], [6, 2]], 23/9415255449600],
[[[1, 15], [2, 2], [3, 1], [8, 1]], 71/735746457600],
[[[1, 15], [2, 2], [3, 1], [10, 1]], 23/2615348736000],
[[[1, 15], [2, 2], [3, 2], [4, 1]], 1141/140142182400],
[[[1, 15], [2, 2], [3, 2], [6, 1]], 4447/2207239372800],
[[[1, 15], [2, 2], [4, 1], [5, 1]], 5713/2452488192000],
[[[1, 15], [2, 2], [4, 1], [8, 1]], 10837/71416456151040],
[[[1, 15], [2, 2], [4, 1], [10, 1]], 31/9299017728000],
[[[1, 15], [2, 2], [4, 1], [12, 1]], 31/5579410636800],
[[[1, 15], [2, 2], [4, 2], [6, 1]], 337/44635285094400],
[[[1, 15], [2, 2], [5, 1], [6, 1]], 1009/83691159552000],
[[[1, 15], [2, 2], [6, 1], [8, 1]], 31/11158821273600],
[[[1, 15], [2, 2], [6, 1], [10, 1]], 1/10461394944000],
[[[1, 15], [2, 4], [3, 1], [4, 1]], 59527/2522559283200],
[[[1, 15], [2, 4], [3, 1], [6, 1]], 15825751/4820610790195200],
[[[1, 15], [2, 4], [4, 1], [6, 1]], 18353/89270570188800],
[[[1, 15], [3, 1], [4, 1], [8, 1]], 23/4184557977600],
[[[1, 16], [2, 1], [3, 1], [4, 2]], 47/8115506380800],
[[[1, 16], [2, 1], [3, 1], [5, 1]], 2423/7357464576000],
[[[1, 16], [2, 1], [3, 1], [8, 1]], 19/13390585528320],
[[[1, 16], [2, 1], [3, 2], [4, 1]], 252011/1606870263398400],
[[[1, 16], [2, 1], [3, 2], [6, 1]], 2579/80343513169920],
[[[1, 16], [2, 1], [4, 1], [5, 1]], 53341/1339058552832000],
[[[1, 16], [2, 1], [4, 1], [8, 1]], 2161/1071246842265600],
[[[1, 16], [2, 1], [4, 1], [10, 1]], 1/27897053184000],
[[[1, 16], [2, 1], [4, 1], [12, 1]], 1/16738231910400],
[[[1, 16], [2, 1], [6, 1], [8, 1]], 1/33476463820800],
[[[1, 16], [2, 3], [3, 1], [4, 1]], 2551111/1606870263398400],
[[[1, 16], [2, 3], [3, 1], [6, 1]], 182267/1071246842265600],
[[[1, 16], [2, 3], [4, 1], [6, 1]], 331/49594761216000],
[[[1, 17], [2, 2], [3, 1], [4, 1]], 28141/535623421132800],
[[[1, 17], [2, 2], [3, 1], [6, 1]], 35011/8034351316992000],
[[[1, 17], [2, 2], [4, 1], [6, 1]], 103/803435131699200],
[[[1, 18], [2, 1], [3, 1], [4, 1]], 5363/8034351316992000],
[[[1, 18], [2, 1], [3, 1], [6, 1]], 271/6427481053593600],
[[[1, 18], [2, 1], [4, 1], [6, 1]], 1/803435131699200],
[[[2, 3], [4, 2], [10, 1], [14, 2]], 1/31360],
[[[2, 3], [4, 2], [10, 1], [26, 1]], 1/4160],
[[[2, 3], [4, 2], [12, 1], [14, 2]], 1/9408],
[[[2, 3], [4, 2], [12, 1], [26, 1]], 1/1248],
[[[2, 3], [4, 4], [6, 1], [22, 1]], 1/405504],
[[[2, 3], [6, 1], [8, 2], [22, 1]], 1/8448],
[[[2, 3], [6, 1], [14, 2], [18, 1]], 1/1764],
[[[2, 3], [6, 1], [18, 1], [26, 1]], 1/234],
[[[2, 3], [6, 2], [10, 1], [18, 2]], 1/810],
[[[2, 3], [6, 2], [18, 1], [22, 1]], 1/594],
[[[2, 5], [4, 1], [8, 1], [14, 2]], 1/150528],
[[[2, 5], [4, 1], [8, 1], [26, 1]], 1/19968],
[[[2, 5], [4, 2], [6, 1], [10, 3]], 1/48000],
[[[2, 5], [4, 2], [6, 1], [14, 2]], 1/150528],
[[[2, 5], [4, 2], [6, 1], [26, 1]], 1/19968],
[[[2, 5], [4, 2], [6, 2], [22, 1]], 1/50688],
[[[2, 5], [4, 2], [6, 3], [10, 2]], 1/259200],
[[[2, 5], [4, 2], [10, 1], [22, 1]], 1/21120],
[[[2, 5], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[2, 5], [4, 2], [12, 1], [22, 1]], 1/6336],
[[[2, 5], [4, 4], [6, 1], [10, 2]], 1/1843200],
[[[2, 5], [4, 4], [6, 2], [14, 1]], 1/1548288],
[[[2, 5], [4, 4], [6, 2], [18, 1]], 1/663552],
[[[2, 5], [4, 4], [6, 3], [10, 1]], 1/9953280],
[[[2, 5], [4, 4], [10, 1], [14, 1]], 1/860160],
[[[2, 5], [6, 1], [8, 2], [10, 2]], 1/38400],
[[[2, 5], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[2, 5], [6, 1], [10, 1], [26, 1]], 1/1560],
[[[2, 5], [6, 1], [14, 1], [22, 1]], 1/3696],
[[[2, 5], [6, 1], [18, 1], [22, 1]], 1/1188],
[[[2, 5], [6, 2], [8, 2], [14, 1]], 1/32256],
[[[2, 5], [6, 2], [8, 2], [18, 1]], 1/13824],
[[[2, 5], [6, 2], [10, 1], [22, 1]], 1/3960],
[[[2, 5], [6, 2], [10, 2], [18, 1]], 1/1800],
[[[2, 5], [6, 3], [8, 2], [10, 1]], 1/207360],
[[[2, 5], [6, 3], [14, 1], [18, 1]], 1/2268],
[[[2, 5], [6, 4], [10, 1], [18, 1]], 1/11664],
[[[2, 5], [8, 2], [10, 1], [14, 1]], 1/17920],
[[[2, 7], [4, 1], [6, 5], [8, 1]], 1/746496],
[[[2, 7], [4, 1], [8, 1], [22, 1]], 1/101376],
[[[2, 7], [4, 2], [6, 1], [22, 1]], 41/4055040],
[[[2, 7], [4, 2], [6, 2], [10, 2]], 7/691200],
[[[2, 7], [4, 2], [6, 3], [14, 1]], 1/193536],
[[[2, 7], [4, 2], [6, 3], [18, 1]], 1/82944],
[[[2, 7], [4, 2], [6, 4], [10, 1]], 1/622080],
[[[2, 7], [4, 2], [6, 4], [12, 1]], 1/373248],
[[[2, 7], [4, 2], [10, 2], [12, 1]], 1/115200],
[[[2, 7], [4, 4], [6, 1], [14, 1]], 1/6193152],
[[[2, 7], [4, 4], [6, 1], [18, 1]], 1/13271040],
[[[2, 7], [4, 4], [6, 2], [10, 1]], 1/6635520],
[[[2, 7], [6, 1], [8, 2], [14, 1]], 1/129024],
[[[2, 7], [6, 1], [8, 2], [18, 1]], 1/276480],
[[[2, 7], [6, 1], [10, 1], [22, 1]], 17/126720],
[[[2, 7], [6, 1], [10, 2], [14, 1]], 1/5600],
[[[2, 7], [6, 1], [10, 2], [18, 1]], 1/19200],
[[[2, 7], [6, 2], [8, 2], [10, 1]], 1/138240],
[[[2, 7], [6, 2], [14, 1], [18, 1]], 5/18144],
[[[2, 7], [6, 3], [10, 1], [14, 1]], 1/11340],
[[[2, 7], [6, 3], [10, 1], [18, 1]], 41/155520],
[[[2, 9], [4, 1], [6, 4], [8, 1]], 13/29859840],
[[[2, 9], [4, 1], [8, 1], [10, 2]], 1/1843200],
[[[2, 9], [4, 2], [6, 1], [10, 2]], 49/55296000],
[[[2, 9], [4, 2], [6, 2], [14, 1]], 1/737280],
[[[2, 9], [4, 2], [6, 2], [18, 1]], 1/1327104],
[[[2, 9], [4, 2], [6, 3], [10, 1]], 137/99532800],
[[[2, 9], [4, 2], [6, 3], [12, 1]], 1/1866240],
[[[2, 9], [4, 2], [10, 1], [14, 1]], 37/180633600],
[[[2, 9], [4, 2], [12, 1], [14, 1]], 1/3386880],
[[[2, 9], [4, 4], [6, 1], [10, 1]], 1/132710400],
[[[2, 9], [6, 1], [8, 2], [10, 1]], 1/2764800],
[[[2, 9], [6, 1], [14, 1], [18, 1]], 5/508032],
[[[2, 9], [6, 2], [10, 1], [14, 1]], 19/483840],
[[[2, 9], [6, 2], [10, 1], [18, 1]], 221/12441600],
[[[2, 11], [4, 1], [6, 3], [8, 1]], 17/418037760],
[[[2, 11], [4, 1], [8, 1], [14, 1]], 1/54190080],
[[[2, 11], [4, 2], [6, 1], [14, 1]], 1/28901376],
[[[2, 11], [4, 2], [6, 1], [18, 1]], 1/132710400],
[[[2, 11], [4, 2], [6, 2], [10, 1]], 37/464486400],
[[[2, 11], [4, 2], [6, 2], [12, 1]], 1/69672960],
[[[2, 11], [4, 2], [10, 1], [12, 1]], 1/174182400],
[[[2, 11], [6, 1], [10, 1], [14, 1]], 221/135475200],
[[[2, 11], [6, 1], [10, 1], [18, 1]], 2273/8360755200],
[[[2, 13], [4, 1], [6, 2], [8, 1]], 173/183936614400],
[[[2, 13], [4, 1], [8, 1], [10, 1]], 1/2786918400],
[[[2, 13], [4, 2], [6, 1], [10, 1]], 349/306561024000],
[[[2, 13], [4, 2], [6, 1], [12, 1]], 1/11496038400],
[[[2, 15], [4, 1], [6, 1], [8, 1]], 23/4184557977600],
[[[1, 1], [2, 2], [3, 1], [4, 3], [14, 2]], 1/225792],
[[[1, 1], [2, 2], [3, 1], [4, 3], [26, 1]], 1/29952],
[[[1, 1], [2, 2], [4, 1], [7, 1], [14, 2]], 1/686],
[[[1, 1], [2, 2], [4, 1], [7, 1], [26, 1]], 1/728],
[[[1, 1], [2, 2], [4, 2], [8, 1], [14, 2]], 1/50176],
[[[1, 1], [2, 2], [4, 2], [8, 1], [26, 1]], 1/6656],
[[[1, 1], [2, 2], [4, 4], [7, 1], [14, 1]], 1/172032],
[[[1, 1], [2, 2], [5, 1], [8, 1], [14, 2]], 1/7840],
[[[1, 1], [2, 2], [5, 1], [8, 1], [26, 1]], 1/1040],
[[[1, 1], [2, 2], [6, 1], [16, 1], [22, 1]], 1/1056],
[[[1, 1], [2, 2], [7, 1], [8, 2], [14, 1]], 1/3584],
[[[1, 1], [2, 2], [7, 1], [14, 1], [16, 1]], 1/448],
[[[1, 1], [2, 4], [3, 1], [4, 3], [22, 1]], 1/152064],
[[[1, 1], [2, 4], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 1], [2, 4], [3, 1], [6, 2], [26, 1]], 1/936],
[[[1, 1], [2, 4], [3, 1], [6, 3], [22, 1]], 1/2376],
[[[1, 1], [2, 4], [3, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 1], [2, 4], [3, 1], [8, 1], [26, 1]], 1/4992],
[[[1, 1], [2, 4], [4, 1], [5, 1], [14, 2]], 1/31360],
[[[1, 1], [2, 4], [4, 1], [5, 1], [26, 1]], 1/4160],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 3]], 1/36864],
[[[1, 1], [2, 4], [4, 1], [6, 2], [14, 2]], 1/56448],
[[[1, 1], [2, 4], [4, 1], [6, 2], [18, 2]], 1/648],
[[[1, 1], [2, 4], [4, 1], [6, 2], [26, 1]], 1/7488],
[[[1, 1], [2, 4], [4, 1], [6, 3], [22, 1]], 1/19008],
[[[1, 1], [2, 4], [4, 1], [7, 1], [22, 1]], 1/3696],
[[[1, 1], [2, 4], [4, 1], [8, 1], [14, 2]], 9/25088],
[[[1, 1], [2, 4], [4, 1], [8, 1], [26, 1]], 9/3328],
[[[1, 1], [2, 4], [4, 1], [8, 2], [10, 2]], 1/51200],
[[[1, 1], [2, 4], [4, 1], [8, 3], [10, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 1], [10, 1], [14, 2]], 3/15680],
[[[1, 1], [2, 4], [4, 1], [10, 1], [26, 1]], 3/2080],
[[[1, 1], [2, 4], [4, 1], [12, 1], [14, 2]], 1/18816],
[[[1, 1], [2, 4], [4, 1], [12, 1], [26, 1]], 1/2496],
[[[1, 1], [2, 4], [4, 2], [6, 1], [14, 2]], 1/75264],
[[[1, 1], [2, 4], [4, 2], [6, 1], [26, 1]], 1/9984],
[[[1, 1], [2, 4], [4, 2], [6, 2], [22, 1]], 1/25344],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 2]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [8, 1], [22, 1]], 1/33792],
[[[1, 1], [2, 4], [4, 2], [10, 1], [22, 1]], 1/7040],
[[[1, 1], [2, 4], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 4], [4, 2], [12, 1], [22, 1]], 1/2112],
[[[1, 1], [2, 4], [4, 3], [6, 1], [22, 1]], 13/202752],
[[[1, 1], [2, 4], [4, 3], [7, 1], [14, 1]], 1/258048],
[[[1, 1], [2, 4], [4, 3], [8, 1], [10, 2]], 1/12800],
[[[1, 1], [2, 4], [4, 3], [10, 2], [12, 1]], 1/19200],
[[[1, 1], [2, 4], [4, 4], [6, 2], [18, 1]], 1/663552],
[[[1, 1], [2, 4], [4, 4], [10, 1], [14, 1]], 1/860160],
[[[1, 1], [2, 4], [4, 5], [6, 1], [14, 1]], 1/1032192],
[[[1, 1], [2, 4], [4, 5], [6, 1], [18, 1]], 1/442368],
[[[1, 1], [2, 4], [4, 5], [6, 2], [8, 1]], 1/1769472],
[[[1, 1], [2, 4], [4, 5], [8, 1], [10, 1]], 1/491520],
[[[1, 1], [2, 4], [5, 1], [8, 1], [22, 1]], 1/5280],
[[[1, 1], [2, 4], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 1], [2, 4], [6, 1], [8, 1], [26, 1]], 1/2496],
[[[1, 1], [2, 4], [6, 1], [10, 2], [16, 1]], 1/4800],
[[[1, 1], [2, 4], [6, 1], [14, 1], [22, 1]], 1/1848],
[[[1, 1], [2, 4], [6, 1], [18, 1], [22, 1]], 1/396],
[[[1, 1], [2, 4], [6, 2], [8, 1], [22, 1]], 1/6336],
[[[1, 1], [2, 4], [6, 2], [8, 2], [18, 1]], 1/13824],
[[[1, 1], [2, 4], [6, 2], [14, 1], [16, 1]], 1/4032],
[[[1, 1], [2, 4], [6, 2], [16, 1], [18, 1]], 1/1728],
[[[1, 1], [2, 4], [6, 3], [7, 1], [14, 1]], 1/18144],
[[[1, 1], [2, 4], [6, 3], [10, 1], [16, 1]], 1/25920],
[[[1, 1], [2, 4], [8, 2], [10, 1], [14, 1]], 1/17920],
[[[1, 1], [2, 4], [10, 1], [14, 1], [16, 1]], 1/2240],
[[[1, 1], [2, 6], [3, 1], [4, 1], [14, 2]], 1/903168],
[[[1, 1], [2, 6], [3, 1], [4, 1], [26, 1]], 1/119808],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 4]], 1/8957952],
[[[1, 1], [2, 6], [3, 1], [4, 3], [10, 2]], 1/2764800],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 3]], 1/2654208],
[[[1, 1], [2, 6], [3, 1], [6, 1], [14, 2]], 13/56448],
[[[1, 1], [2, 6], [3, 1], [6, 1], [26, 1]], 1/7488],
[[[1, 1], [2, 6], [3, 1], [6, 2], [22, 1]], 5/19008],
[[[1, 1], [2, 6], [3, 1], [6, 3], [8, 2]], 1/55296],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 2]], 1/5400],
[[[1, 1], [2, 6], [3, 1], [6, 4], [14, 1]], 1/7776],
[[[1, 1], [2, 6], [3, 1], [6, 4], [18, 1]], 1/1944],
[[[1, 1], [2, 6], [3, 1], [6, 5], [10, 1]], 1/38880],
[[[1, 1], [2, 6], [3, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 1], [2, 6], [4, 1], [5, 1], [22, 1]], 1/21120],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 3]], 1/36864],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 3]], 1/6000],
[[[1, 1], [2, 6], [4, 1], [6, 1], [14, 2]], 31/225792],
[[[1, 1], [2, 6], [4, 1], [6, 1], [26, 1]], 7/29952],
[[[1, 1], [2, 6], [4, 1], [6, 2], [22, 1]], 1/8448],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 2]], 1/25920],
[[[1, 1], [2, 6], [4, 1], [6, 4], [7, 1]], 1/217728],
[[[1, 1], [2, 6], [4, 1], [6, 4], [14, 1]], 5/217728],
[[[1, 1], [2, 6], [4, 1], [6, 4], [18, 1]], 13/93312],
[[[1, 1], [2, 6], [4, 1], [6, 5], [8, 1]], 5/746496],
[[[1, 1], [2, 6], [4, 1], [6, 5], [10, 1]], 1/466560],
[[[1, 1], [2, 6], [4, 1], [7, 1], [10, 2]], 1/67200],
[[[1, 1], [2, 6], [4, 1], [8, 1], [22, 1]], 19/33792],
[[[1, 1], [2, 6], [4, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 1], [2, 6], [4, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 1], [2, 6], [4, 1], [10, 2], [14, 1]], 1/3200],
[[[1, 1], [2, 6], [4, 1], [12, 1], [22, 1]], 1/12672],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 2]], 1/76800],
[[[1, 1], [2, 6], [4, 2], [6, 1], [22, 1]], 1/18432],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 2]], 1/24576],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 2]], 1/38400],
[[[1, 1], [2, 6], [4, 2], [6, 3], [14, 1]], 1/96768],
[[[1, 1], [2, 6], [4, 2], [6, 3], [18, 1]], 1/27648],
[[[1, 1], [2, 6], [4, 2], [6, 4], [8, 1]], 17/1990656],
[[[1, 1], [2, 6], [4, 2], [6, 4], [10, 1]], 1/414720],
[[[1, 1], [2, 6], [4, 2], [6, 4], [12, 1]], 1/373248],
[[[1, 1], [2, 6], [4, 2], [7, 1], [14, 1]], 1/1720320],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 2]], 1/204800],
[[[1, 1], [2, 6], [4, 2], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 2], [10, 2], [12, 1]], 1/19200],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 2]], 1/23040],
[[[1, 1], [2, 6], [4, 3], [6, 2], [14, 1]], 19/774144],
[[[1, 1], [2, 6], [4, 3], [6, 2], [18, 1]], 19/331776],
[[[1, 1], [2, 6], [4, 3], [6, 3], [8, 1]], 1/221184],
[[[1, 1], [2, 6], [4, 3], [6, 3], [10, 1]], 37/4976640],
[[[1, 1], [2, 6], [4, 3], [6, 3], [12, 1]], 1/62208],
[[[1, 1], [2, 6], [4, 3], [10, 1], [14, 1]], 1/20480],
[[[1, 1], [2, 6], [4, 3], [12, 1], [14, 1]], 1/16128],
[[[1, 1], [2, 6], [4, 4], [5, 1], [10, 1]], 1/2949120],
[[[1, 1], [2, 6], [4, 4], [6, 1], [14, 1]], 1/1032192],
[[[1, 1], [2, 6], [4, 4], [6, 1], [18, 1]], 1/1327104],
[[[1, 1], [2, 6], [4, 4], [6, 2], [10, 1]], 1/2211840],
[[[1, 1], [2, 6], [4, 5], [6, 1], [8, 1]], 1/1769472],
[[[1, 1], [2, 6], [4, 5], [6, 1], [10, 1]], 1/1474560],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 1], [2, 6], [5, 1], [6, 4], [8, 1]], 1/311040],
[[[1, 1], [2, 6], [5, 1], [6, 4], [10, 1]], 1/38880],
[[[1, 1], [2, 6], [5, 1], [8, 1], [10, 2]], 1/96000],
[[[1, 1], [2, 6], [5, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 6], [6, 1], [8, 1], [22, 1]], 17/202752],
[[[1, 1], [2, 6], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 1], [2, 6], [6, 1], [8, 2], [18, 1]], 1/27648],
[[[1, 1], [2, 6], [6, 1], [10, 1], [22, 1]], 1/2112],
[[[1, 1], [2, 6], [6, 1], [10, 2], [14, 1]], 1/4200],
[[[1, 1], [2, 6], [6, 1], [10, 2], [18, 1]], 1/2880],
[[[1, 1], [2, 6], [6, 1], [14, 1], [16, 1]], 1/16128],
[[[1, 1], [2, 6], [6, 1], [16, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 6], [6, 2], [7, 1], [14, 1]], 1/48384],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 1], [2, 6], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [6, 2], [10, 1], [16, 1]], 1/17280],
[[[1, 1], [2, 6], [6, 2], [14, 1], [18, 1]], 1/864],
[[[1, 1], [2, 6], [6, 3], [8, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 6], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 6], [6, 3], [10, 1], [14, 1]], 1/30240],
[[[1, 1], [2, 6], [6, 3], [10, 1], [18, 1]], 13/25920],
[[[1, 1], [2, 6], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[1, 1], [2, 6], [7, 1], [8, 1], [14, 1]], 1/430080],
[[[1, 1], [2, 6], [7, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 5]], 1/1119744],
[[[1, 1], [2, 8], [3, 1], [4, 1], [22, 1]], 1/608256],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 4]], 1/331776],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 3]], 1/44789760],
[[[1, 1], [2, 8], [3, 1], [4, 3], [14, 1]], 1/81285120],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 2]], 1/26542080],
[[[1, 1], [2, 8], [3, 1], [6, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 8], [3, 1], [6, 2], [8, 2]], 1/552960],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 2]], 1/13824],
[[[1, 1], [2, 8], [3, 1], [6, 3], [14, 1]], 13/145152],
[[[1, 1], [2, 8], [3, 1], [6, 3], [18, 1]], 11/155520],
[[[1, 1], [2, 8], [3, 1], [6, 4], [8, 1]], 1/1492992],
[[[1, 1], [2, 8], [3, 1], [6, 4], [10, 1]], 23/311040],
[[[1, 1], [2, 8], [3, 1], [8, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 4]], 1/1244160],
[[[1, 1], [2, 8], [4, 1], [5, 1], [10, 2]], 1/384000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [22, 1]], 191/4055040],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 2]], 1/442368],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 2]], 11/86400],
[[[1, 1], [2, 8], [4, 1], [6, 3], [7, 1]], 1/1088640],
[[[1, 1], [2, 8], [4, 1], [6, 3], [14, 1]], 43/870912],
[[[1, 1], [2, 8], [4, 1], [6, 3], [18, 1]], 61/622080],
[[[1, 1], [2, 8], [4, 1], [6, 4], [8, 1]], 115/5971968],
[[[1, 1], [2, 8], [4, 1], [6, 4], [10, 1]], 29/933120],
[[[1, 1], [2, 8], [4, 1], [6, 4], [12, 1]], 1/746496],
[[[1, 1], [2, 8], [4, 1], [7, 1], [14, 1]], 3/5619712],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 1], [2, 8], [4, 1], [8, 2], [10, 1]], 1/614400],
[[[1, 1], [2, 8], [4, 1], [10, 2], [12, 1]], 1/230400],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 2]], 1/184320],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 2]], 1/102400],
[[[1, 1], [2, 8], [4, 2], [6, 2], [14, 1]], 1/86016],
[[[1, 1], [2, 8], [4, 2], [6, 2], [18, 1]], 23/2211840],
[[[1, 1], [2, 8], [4, 2], [6, 3], [8, 1]], 41/9953280],
[[[1, 1], [2, 8], [4, 2], [6, 3], [10, 1]], 13/1658880],
[[[1, 1], [2, 8], [4, 2], [6, 3], [12, 1]], 1/186624],
[[[1, 1], [2, 8], [4, 2], [8, 1], [14, 1]], 71/18063360],
[[[1, 1], [2, 8], [4, 2], [10, 1], [14, 1]], 37/8601600],
[[[1, 1], [2, 8], [4, 2], [12, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 8], [4, 3], [6, 1], [14, 1]], 253/30965760],
[[[1, 1], [2, 8], [4, 3], [6, 1], [18, 1]], 29/13271040],
[[[1, 1], [2, 8], [4, 3], [6, 2], [8, 1]], 3/655360],
[[[1, 1], [2, 8], [4, 3], [6, 2], [10, 1]], 37/3317760],
[[[1, 1], [2, 8], [4, 3], [6, 2], [12, 1]], 1/165888],
[[[1, 1], [2, 8], [4, 3], [8, 1], [10, 1]], 11/14745600],
[[[1, 1], [2, 8], [4, 3], [8, 1], [12, 1]], 1/552960],
[[[1, 1], [2, 8], [4, 3], [10, 1], [12, 1]], 1/230400],
[[[1, 1], [2, 8], [4, 4], [6, 1], [10, 1]], 1/8847360],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 2]], 1/23040],
[[[1, 1], [2, 8], [5, 1], [6, 3], [8, 1]], 1/1555200],
[[[1, 1], [2, 8], [5, 1], [6, 3], [10, 1]], 1/77760],
[[[1, 1], [2, 8], [5, 1], [8, 1], [14, 1]], 1/2822400],
[[[1, 1], [2, 8], [5, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 8], [6, 1], [7, 1], [14, 1]], 1/3870720],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 2]], 1/184320],
[[[1, 1], [2, 8], [6, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 1], [2, 8], [6, 1], [10, 1], [16, 1]], 1/345600],
[[[1, 1], [2, 8], [6, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 1], [2, 8], [6, 2], [8, 1], [14, 1]], 1/86016],
[[[1, 1], [2, 8], [6, 2], [8, 1], [18, 1]], 13/1658880],
[[[1, 1], [2, 8], [6, 2], [10, 1], [14, 1]], 19/80640],
[[[1, 1], [2, 8], [6, 2], [10, 1], [18, 1]], 91/414720],
[[[1, 1], [2, 8], [6, 3], [8, 1], [10, 1]], 49/4976640],
[[[1, 1], [2, 8], [8, 1], [10, 1], [14, 1]], 1/430080],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 4]], 37/179159040],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 2]], 1/11059200],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 3]], 1/2949120],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 2]], 1/1672151040],
[[[1, 1], [2, 10], [3, 1], [4, 3], [10, 1]], 1/4180377600],
[[[1, 1], [2, 10], [3, 1], [4, 4], [6, 1]], 1/2972712960],
[[[1, 1], [2, 10], [3, 1], [6, 1], [8, 2]], 1/61931520],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 2]], 1/345600],
[[[1, 1], [2, 10], [3, 1], [6, 2], [14, 1]], 131/16257024],
[[[1, 1], [2, 10], [3, 1], [6, 2], [18, 1]], 1/544320],
[[[1, 1], [2, 10], [3, 1], [6, 3], [8, 1]], 1/7464960],
[[[1, 1], [2, 10], [3, 1], [6, 3], [10, 1]], 31/2764800],
[[[1, 1], [2, 10], [3, 1], [8, 1], [14, 1]], 1/13547520],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 3]], 1/6220800],
[[[1, 1], [2, 10], [4, 1], [5, 1], [14, 1]], 1/11289600],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 2]], 1/15482880],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 2]], 281/27648000],
[[[1, 1], [2, 10], [4, 1], [6, 2], [7, 1]], 1/40642560],
[[[1, 1], [2, 10], [4, 1], [6, 2], [14, 1]], 4321/325140480],
[[[1, 1], [2, 10], [4, 1], [6, 2], [18, 1]], 125/27869184],
[[[1, 1], [2, 10], [4, 1], [6, 3], [8, 1]], 539/119439360],
[[[1, 1], [2, 10], [4, 1], [6, 3], [10, 1]], 881/59719680],
[[[1, 1], [2, 10], [4, 1], [6, 3], [12, 1]], 1/3732480],
[[[1, 1], [2, 10], [4, 1], [7, 1], [10, 1]], 1/101606400],
[[[1, 1], [2, 10], [4, 1], [8, 1], [14, 1]], 53/18063360],
[[[1, 1], [2, 10], [4, 1], [10, 1], [14, 1]], 1139/180633600],
[[[1, 1], [2, 10], [4, 1], [12, 1], [14, 1]], 1/6773760],
[[[1, 1], [2, 10], [4, 2], [5, 1], [10, 1]], 1/29491200],
[[[1, 1], [2, 10], [4, 2], [6, 1], [14, 1]], 61/72253440],
[[[1, 1], [2, 10], [4, 2], [6, 1], [18, 1]], 1/4423680],
[[[1, 1], [2, 10], [4, 2], [6, 2], [8, 1]], 173/371589120],
[[[1, 1], [2, 10], [4, 2], [6, 2], [10, 1]], 11/7372800],
[[[1, 1], [2, 10], [4, 2], [6, 2], [12, 1]], 1/2488320],
[[[1, 1], [2, 10], [4, 2], [8, 1], [10, 1]], 253/928972800],
[[[1, 1], [2, 10], [4, 2], [10, 1], [12, 1]], 1/4838400],
[[[1, 1], [2, 10], [4, 3], [6, 1], [8, 1]], 1/5898240],
[[[1, 1], [2, 10], [4, 3], [6, 1], [10, 1]], 109/185794560],
[[[1, 1], [2, 10], [4, 3], [6, 1], [12, 1]], 1/5806080],
[[[1, 1], [2, 10], [5, 1], [6, 2], [8, 1]], 1/58060800],
[[[1, 1], [2, 10], [5, 1], [6, 2], [10, 1]], 11/8294400],
[[[1, 1], [2, 10], [5, 1], [8, 1], [10, 1]], 1/145152000],
[[[1, 1], [2, 10], [6, 1], [8, 1], [14, 1]], 17/36126720],
[[[1, 1], [2, 10], [6, 1], [8, 1], [18, 1]], 1/6635520],
[[[1, 1], [2, 10], [6, 1], [10, 1], [14, 1]], 193/6451200],
[[[1, 1], [2, 10], [6, 1], [10, 1], [18, 1]], 149/23224320],
[[[1, 1], [2, 10], [6, 2], [8, 1], [10, 1]], 13/16588800],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 3]], 13/1254113280],
[[[1, 1], [2, 12], [3, 1], [4, 1], [14, 1]], 1/325140480],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 2]], 1/154828800],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 1]], 1/275904921600],
[[[1, 1], [2, 12], [3, 1], [6, 1], [14, 1]], 673/7803371520],
[[[1, 1], [2, 12], [3, 1], [6, 2], [8, 1]], 1/278691840],
[[[1, 1], [2, 12], [3, 1], [6, 2], [10, 1]], 383/1114767360],
[[[1, 1], [2, 12], [3, 1], [8, 1], [10, 1]], 1/696729600],
[[[1, 1], [2, 12], [4, 1], [5, 1], [6, 2]], 1/232243200],
[[[1, 1], [2, 12], [4, 1], [5, 1], [10, 1]], 1/580608000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [7, 1]], 1/6706022400],
[[[1, 1], [2, 12], [4, 1], [6, 1], [14, 1]], 5077/15606743040],
[[[1, 1], [2, 12], [4, 1], [6, 1], [18, 1]], 7/191102976],
[[[1, 1], [2, 12], [4, 1], [6, 2], [8, 1]], 4049/26754416640],
[[[1, 1], [2, 12], [4, 1], [6, 2], [10, 1]], 3397/4180377600],
[[[1, 1], [2, 12], [4, 1], [6, 2], [12, 1]], 1/139345920],
[[[1, 1], [2, 12], [4, 1], [8, 1], [10, 1]], 577/7431782400],
[[[1, 1], [2, 12], [4, 1], [10, 1], [12, 1]], 1/348364800],
[[[1, 1], [2, 12], [4, 2], [6, 1], [8, 1]], 683/61312204800],
[[[1, 1], [2, 12], [4, 2], [6, 1], [10, 1]], 11/265420800],
[[[1, 1], [2, 12], [4, 2], [6, 1], [12, 1]], 1/209018880],
[[[1, 1], [2, 12], [5, 1], [6, 1], [8, 1]], 1/9580032000],
[[[1, 1], [2, 12], [5, 1], [6, 1], [10, 1]], 17/1114767360],
[[[1, 1], [2, 12], [6, 1], [8, 1], [10, 1]], 1/55738368],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 2]], 197/1103619686400],
[[[1, 1], [2, 14], [3, 1], [4, 1], [10, 1]], 1/16721510400],
[[[1, 1], [2, 14], [3, 1], [4, 1], [12, 1]], 1/6276836966400],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 1]], 1/29727129600],
[[[1, 1], [2, 14], [3, 1], [6, 1], [8, 1]], 1/45984153600],
[[[1, 1], [2, 14], [3, 1], [6, 1], [10, 1]], 23/11147673600],
[[[1, 1], [2, 14], [4, 1], [5, 1], [6, 1]], 1/38320128000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [8, 1]], 169/133772083200],
[[[1, 1], [2, 14], [4, 1], [6, 1], [10, 1]], 42409/3678732288000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [12, 1]], 1/22992076800],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 1]], 19/20085878292480],
[[[1, 2], [2, 1], [3, 1], [11, 1], [16, 1]], 1/1056],
[[[1, 2], [2, 1], [4, 1], [7, 2], [14, 1]], 1/686],
[[[1, 2], [2, 1], [4, 1], [13, 1], [14, 1]], 1/728],
[[[1, 2], [2, 1], [4, 2], [7, 2], [8, 1]], 1/50176],
[[[1, 2], [2, 1], [4, 2], [8, 1], [13, 1]], 1/6656],
[[[1, 2], [2, 1], [4, 3], [6, 1], [7, 2]], 1/225792],
[[[1, 2], [2, 1], [4, 3], [6, 1], [13, 1]], 1/29952],
[[[1, 2], [2, 1], [4, 4], [7, 1], [14, 1]], 1/172032],
[[[1, 2], [2, 1], [7, 1], [8, 2], [14, 1]], 1/3584],
[[[1, 2], [2, 1], [7, 1], [14, 1], [16, 1]], 1/448],
[[[1, 2], [2, 1], [7, 2], [8, 1], [10, 1]], 1/7840],
[[[1, 2], [2, 1], [8, 1], [10, 1], [13, 1]], 1/1040],
[[[1, 2], [2, 3], [3, 1], [4, 2], [14, 2]], 5/75264],
[[[1, 2], [2, 3], [3, 1], [4, 2], [26, 1]], 5/9984],
[[[1, 2], [2, 3], [3, 1], [4, 3], [11, 1]], 1/608256],
[[[1, 2], [2, 3], [3, 1], [4, 3], [22, 1]], 1/50688],
[[[1, 2], [2, 3], [3, 1], [4, 4], [10, 2]], 1/460800],
[[[1, 2], [2, 3], [3, 1], [5, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 3], [3, 1], [5, 1], [26, 1]], 1/1560],
[[[1, 2], [2, 3], [3, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 2], [2, 3], [3, 1], [8, 1], [26, 1]], 1/2496],
[[[1, 2], [2, 3], [3, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 3], [3, 1], [10, 1], [26, 1]], 1/1560],
[[[1, 2], [2, 3], [3, 2], [6, 1], [14, 2]], 1/42336],
[[[1, 2], [2, 3], [3, 2], [6, 1], [26, 1]], 1/5616],
[[[1, 2], [2, 3], [3, 2], [6, 2], [22, 1]], 1/14256],
[[[1, 2], [2, 3], [4, 1], [5, 1], [14, 2]], 1/15680],
[[[1, 2], [2, 3], [4, 1], [5, 1], [26, 1]], 1/2080],
[[[1, 2], [2, 3], [4, 1], [6, 2], [7, 2]], 1/56448],
[[[1, 2], [2, 3], [4, 1], [6, 2], [13, 1]], 1/7488],
[[[1, 2], [2, 3], [4, 1], [7, 1], [22, 1]], 1/1232],
[[[1, 2], [2, 3], [4, 1], [7, 2], [10, 1]], 1/31360],
[[[1, 2], [2, 3], [4, 1], [7, 2], [12, 1]], 1/56448],
[[[1, 2], [2, 3], [4, 1], [8, 1], [14, 2]], 5/50176],
[[[1, 2], [2, 3], [4, 1], [8, 1], [26, 1]], 5/6656],
[[[1, 2], [2, 3], [4, 1], [10, 1], [13, 1]], 1/4160],
[[[1, 2], [2, 3], [4, 1], [10, 2], [16, 1]], 1/6400],
[[[1, 2], [2, 3], [4, 1], [12, 1], [13, 1]], 1/7488],
[[[1, 2], [2, 3], [4, 1], [12, 1], [14, 2]], 1/9408],
[[[1, 2], [2, 3], [4, 1], [12, 1], [26, 1]], 1/1248],
[[[1, 2], [2, 3], [4, 2], [6, 1], [14, 2]], 1/150528],
[[[1, 2], [2, 3], [4, 2], [6, 1], [26, 1]], 1/19968],
[[[1, 2], [2, 3], [4, 2], [6, 2], [22, 1]], 1/50688],
[[[1, 2], [2, 3], [4, 2], [7, 1], [10, 2]], 1/11200],
[[[1, 2], [2, 3], [4, 2], [8, 1], [22, 1]], 1/11264],
[[[1, 2], [2, 3], [4, 3], [5, 1], [10, 2]], 1/12800],
[[[1, 2], [2, 3], [4, 3], [6, 1], [22, 1]], 1/101376],
[[[1, 2], [2, 3], [4, 3], [6, 2], [8, 2]], 1/73728],
[[[1, 2], [2, 3], [4, 3], [7, 1], [14, 1]], 5/28672],
[[[1, 2], [2, 3], [4, 3], [8, 1], [10, 2]], 1/102400],
[[[1, 2], [2, 3], [4, 3], [8, 2], [10, 1]], 1/20480],
[[[1, 2], [2, 3], [4, 5], [5, 1], [10, 1]], 1/491520],
[[[1, 2], [2, 3], [5, 1], [6, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 3], [5, 1], [6, 1], [26, 1]], 1/1560],
[[[1, 2], [2, 3], [5, 1], [6, 2], [22, 1]], 1/3960],
[[[1, 2], [2, 3], [5, 1], [8, 1], [22, 1]], 1/1760],
[[[1, 2], [2, 3], [6, 1], [7, 1], [22, 1]], 1/1848],
[[[1, 2], [2, 3], [6, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 2], [2, 3], [6, 1], [8, 1], [13, 1]], 1/4992],
[[[1, 2], [2, 3], [6, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 2], [2, 3], [6, 2], [16, 1], [18, 1]], 1/1728],
[[[1, 2], [2, 3], [10, 1], [14, 1], [16, 1]], 1/2240],
[[[1, 2], [2, 5], [3, 1], [4, 1], [14, 2]], 1/75264],
[[[1, 2], [2, 5], [3, 1], [4, 1], [26, 1]], 1/9984],
[[[1, 2], [2, 5], [3, 1], [4, 2], [22, 1]], 5/50688],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 4]], 1/8957952],
[[[1, 2], [2, 5], [3, 1], [4, 3], [10, 2]], 1/460800],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 3]], 25/23887872],
[[[1, 2], [2, 5], [3, 1], [4, 4], [14, 1]], 1/387072],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 2]], 1/884736],
[[[1, 2], [2, 5], [3, 1], [5, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 3]], 1/18000],
[[[1, 2], [2, 5], [3, 1], [6, 1], [14, 2]], 31/56448],
[[[1, 2], [2, 5], [3, 1], [6, 1], [26, 1]], 7/7488],
[[[1, 2], [2, 5], [3, 1], [6, 2], [22, 1]], 19/19008],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 2]], 1/55296],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 2]], 1/97200],
[[[1, 2], [2, 5], [3, 1], [6, 3], [16, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 1], [6, 4], [18, 1]], 1/1944],
[[[1, 2], [2, 5], [3, 1], [8, 1], [11, 1]], 1/1013760],
[[[1, 2], [2, 5], [3, 1], [8, 1], [22, 1]], 5/25344],
[[[1, 2], [2, 5], [3, 1], [10, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 5], [3, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 3]], 1/497664],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 2]], 1/1769472],
[[[1, 2], [2, 5], [3, 2], [6, 1], [22, 1]], 5/114048],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 2]], 1/64800],
[[[1, 2], [2, 5], [3, 2], [6, 3], [14, 1]], 19/54432],
[[[1, 2], [2, 5], [3, 2], [6, 3], [18, 1]], 5/11664],
[[[1, 2], [2, 5], [3, 2], [6, 4], [10, 1]], 11/69984],
[[[1, 2], [2, 5], [4, 1], [5, 1], [22, 1]], 1/4224],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 2]], 1/903168],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 2], [2, 5], [4, 1], [6, 1], [13, 1]], 1/119808],
[[[1, 2], [2, 5], [4, 1], [6, 1], [14, 2]], 11/37632],
[[[1, 2], [2, 5], [4, 1], [6, 1], [26, 1]], 1/1664],
[[[1, 2], [2, 5], [4, 1], [6, 2], [22, 1]], 1/3168],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 2], [2, 5], [4, 1], [6, 3], [16, 1]], 1/20736],
[[[1, 2], [2, 5], [4, 1], [6, 4], [7, 1]], 1/217728],
[[[1, 2], [2, 5], [4, 1], [6, 4], [18, 1]], 1/31104],
[[[1, 2], [2, 5], [4, 1], [7, 1], [10, 2]], 1/11200],
[[[1, 2], [2, 5], [4, 1], [8, 1], [22, 1]], 59/33792],
[[[1, 2], [2, 5], [4, 1], [8, 2], [14, 1]], 1/14336],
[[[1, 2], [2, 5], [4, 1], [10, 1], [22, 1]], 3/3520],
[[[1, 2], [2, 5], [4, 1], [10, 2], [14, 1]], 1/2800],
[[[1, 2], [2, 5], [4, 1], [12, 1], [22, 1]], 5/12672],
[[[1, 2], [2, 5], [4, 1], [14, 1], [16, 1]], 1/5376],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 2]], 11/64000],
[[[1, 2], [2, 5], [4, 2], [6, 1], [22, 1]], 107/405504],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 2]], 53/147456],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 2]], 1/76800],
[[[1, 2], [2, 5], [4, 2], [6, 3], [7, 1]], 1/36288],
[[[1, 2], [2, 5], [4, 2], [6, 3], [14, 1]], 5/193536],
[[[1, 2], [2, 5], [4, 2], [6, 3], [18, 1]], 5/27648],
[[[1, 2], [2, 5], [4, 2], [6, 4], [8, 1]], 25/1990656],
[[[1, 2], [2, 5], [4, 2], [6, 4], [10, 1]], 1/1244160],
[[[1, 2], [2, 5], [4, 2], [7, 1], [14, 1]], 403/2408448],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 2]], 67/102400],
[[[1, 2], [2, 5], [4, 2], [8, 2], [10, 1]], 37/40960],
[[[1, 2], [2, 5], [4, 2], [10, 2], [12, 1]], 1/19200],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 2]], 7/73728],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 5], [4, 3], [6, 2], [14, 1]], 1/55296],
[[[1, 2], [2, 5], [4, 3], [6, 2], [18, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 3], [6, 3], [8, 1]], 7/331776],
[[[1, 2], [2, 5], [4, 3], [6, 3], [10, 1]], 1/2488320],
[[[1, 2], [2, 5], [4, 3], [8, 1], [14, 1]], 1/86016],
[[[1, 2], [2, 5], [4, 3], [10, 1], [14, 1]], 13/143360],
[[[1, 2], [2, 5], [4, 3], [12, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 5], [4, 4], [5, 1], [10, 1]], 1/294912],
[[[1, 2], [2, 5], [4, 4], [6, 1], [14, 1]], 53/2064384],
[[[1, 2], [2, 5], [4, 4], [6, 1], [18, 1]], 53/884736],
[[[1, 2], [2, 5], [4, 4], [6, 2], [8, 1]], 13/884736],
[[[1, 2], [2, 5], [4, 4], [6, 2], [10, 1]], 1/184320],
[[[1, 2], [2, 5], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 2], [2, 5], [4, 4], [8, 1], [10, 1]], 5/49152],
[[[1, 2], [2, 5], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 5], [4, 4], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 5], [6, 1], [8, 1]], 1/589824],
[[[1, 2], [2, 5], [4, 5], [6, 1], [10, 1]], 1/1474560],
[[[1, 2], [2, 5], [5, 1], [6, 1], [22, 1]], 1/6336],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 2]], 1/18000],
[[[1, 2], [2, 5], [5, 1], [6, 3], [14, 1]], 1/15120],
[[[1, 2], [2, 5], [5, 1], [6, 3], [18, 1]], 1/6480],
[[[1, 2], [2, 5], [5, 1], [6, 4], [8, 1]], 1/311040],
[[[1, 2], [2, 5], [5, 1], [6, 4], [10, 1]], 1/97200],
[[[1, 2], [2, 5], [5, 1], [7, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 5], [5, 1], [8, 1], [10, 2]], 1/16000],
[[[1, 2], [2, 5], [5, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 5], [5, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 5], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 2], [2, 5], [6, 1], [7, 1], [10, 2]], 1/8400],
[[[1, 2], [2, 5], [6, 1], [8, 1], [22, 1]], 5/16896],
[[[1, 2], [2, 5], [6, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 2], [2, 5], [6, 1], [8, 2], [18, 1]], 1/18432],
[[[1, 2], [2, 5], [6, 1], [10, 1], [22, 1]], 1/7040],
[[[1, 2], [2, 5], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 5], [6, 1], [10, 2], [18, 1]], 7/28800],
[[[1, 2], [2, 5], [6, 1], [14, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 5], [6, 1], [16, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [6, 2], [7, 1], [14, 1]], 37/112896],
[[[1, 2], [2, 5], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 5], [6, 2], [10, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 5], [6, 2], [14, 1], [18, 1]], 5/6048],
[[[1, 2], [2, 5], [6, 3], [7, 1], [10, 1]], 1/45360],
[[[1, 2], [2, 5], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 5], [6, 3], [10, 1], [14, 1]], 1/90720],
[[[1, 2], [2, 5], [6, 3], [10, 1], [18, 1]], 1/51840],
[[[1, 2], [2, 5], [7, 1], [8, 1], [14, 1]], 5/86016],
[[[1, 2], [2, 5], [7, 1], [10, 1], [14, 1]], 13/23520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 5]], 49/1119744],
[[[1, 2], [2, 7], [3, 1], [4, 1], [11, 1]], 1/85155840],
[[[1, 2], [2, 7], [3, 1], [4, 1], [22, 1]], 5/202752],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 4]], 1/62208],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 2]], 11/1843200],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 3]], 683/35831808],
[[[1, 2], [2, 7], [3, 1], [4, 3], [14, 1]], 1/3870720],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 2]], 5/7962624],
[[[1, 2], [2, 7], [3, 1], [4, 4], [8, 1]], 1/13271040],
[[[1, 2], [2, 7], [3, 1], [4, 4], [10, 1]], 1/5529600],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 1]], 1/7077888],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 4]], 1/466560],
[[[1, 2], [2, 7], [3, 1], [5, 1], [10, 2]], 1/144000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [22, 1]], 401/1520640],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 2]], 1/55296],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 2]], 11/32400],
[[[1, 2], [2, 7], [3, 1], [6, 2], [16, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 1], [6, 3], [14, 1]], 31/72576],
[[[1, 2], [2, 7], [3, 1], [6, 3], [18, 1]], 5/7776],
[[[1, 2], [2, 7], [3, 1], [6, 4], [8, 1]], 13/497664],
[[[1, 2], [2, 7], [3, 1], [6, 4], [10, 1]], 77/466560],
[[[1, 2], [2, 7], [3, 1], [7, 1], [14, 1]], 1/3870720],
[[[1, 2], [2, 7], [3, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 4]], 1/62208],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 3]], 1/221184],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 2]], 1/4976640],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 2]], 1/259200],
[[[1, 2], [2, 7], [3, 2], [6, 2], [14, 1]], 1/9072],
[[[1, 2], [2, 7], [3, 2], [6, 2], [18, 1]], 7/933120],
[[[1, 2], [2, 7], [3, 2], [6, 3], [8, 1]], 1/82944],
[[[1, 2], [2, 7], [3, 2], [6, 3], [10, 1]], 89/559872],
[[[1, 2], [2, 7], [3, 2], [10, 1], [14, 1]], 1/241920],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 4]], 1/414720],
[[[1, 2], [2, 7], [4, 1], [5, 1], [8, 2]], 1/460800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 2]], 27/256000],
[[[1, 2], [2, 7], [4, 1], [5, 2], [10, 1]], 1/76800],
[[[1, 2], [2, 7], [4, 1], [6, 1], [22, 1]], 113/405504],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 2]], 5/98304],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 2]], 7/28800],
[[[1, 2], [2, 7], [4, 1], [6, 2], [16, 1]], 1/55296],
[[[1, 2], [2, 7], [4, 1], [6, 3], [7, 1]], 1/108864],
[[[1, 2], [2, 7], [4, 1], [6, 3], [14, 1]], 1/6912],
[[[1, 2], [2, 7], [4, 1], [6, 3], [18, 1]], 19/41472],
[[[1, 2], [2, 7], [4, 1], [6, 4], [8, 1]], 103/1990656],
[[[1, 2], [2, 7], [4, 1], [6, 4], [10, 1]], 19/622080],
[[[1, 2], [2, 7], [4, 1], [6, 4], [12, 1]], 1/248832],
[[[1, 2], [2, 7], [4, 1], [7, 1], [14, 1]], 517/36126720],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 2]], 13/49152],
[[[1, 2], [2, 7], [4, 1], [8, 1], [16, 1]], 1/184320],
[[[1, 2], [2, 7], [4, 1], [8, 2], [10, 1]], 1/49152],
[[[1, 2], [2, 7], [4, 1], [10, 1], [16, 1]], 1/76800],
[[[1, 2], [2, 7], [4, 1], [10, 2], [12, 1]], 1/28800],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 3]], 1/207360],
[[[1, 2], [2, 7], [4, 2], [5, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 2]], 41/147456],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 2]], 59/204800],
[[[1, 2], [2, 7], [4, 2], [6, 2], [7, 1]], 1/96768],
[[[1, 2], [2, 7], [4, 2], [6, 2], [14, 1]], 23/172032],
[[[1, 2], [2, 7], [4, 2], [6, 2], [18, 1]], 359/1105920],
[[[1, 2], [2, 7], [4, 2], [6, 3], [8, 1]], 59/497664],
[[[1, 2], [2, 7], [4, 2], [6, 3], [10, 1]], 811/9953280],
[[[1, 2], [2, 7], [4, 2], [6, 3], [12, 1]], 1/62208],
[[[1, 2], [2, 7], [4, 2], [7, 1], [8, 1]], 1/322560],
[[[1, 2], [2, 7], [4, 2], [7, 1], [10, 1]], 1/134400],
[[[1, 2], [2, 7], [4, 2], [8, 1], [14, 1]], 311/860160],
[[[1, 2], [2, 7], [4, 2], [10, 1], [14, 1]], 233/860160],
[[[1, 2], [2, 7], [4, 2], [12, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [4, 3], [5, 1], [10, 1]], 133/14745600],
[[[1, 2], [2, 7], [4, 3], [6, 1], [14, 1]], 73/1548288],
[[[1, 2], [2, 7], [4, 3], [6, 1], [18, 1]], 1/40960],
[[[1, 2], [2, 7], [4, 3], [6, 2], [8, 1]], 31/884736],
[[[1, 2], [2, 7], [4, 3], [6, 2], [10, 1]], 131/3317760],
[[[1, 2], [2, 7], [4, 3], [6, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 7], [4, 3], [8, 1], [10, 1]], 7/409600],
[[[1, 2], [2, 7], [4, 3], [8, 1], [12, 1]], 1/36864],
[[[1, 2], [2, 7], [4, 3], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 7], [4, 4], [6, 1], [8, 1]], 11/442368],
[[[1, 2], [2, 7], [4, 4], [6, 1], [10, 1]], 9/327680],
[[[1, 2], [2, 7], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 2]], 47/144000],
[[[1, 2], [2, 7], [5, 1], [6, 2], [14, 1]], 1/40320],
[[[1, 2], [2, 7], [5, 1], [6, 2], [18, 1]], 7/259200],
[[[1, 2], [2, 7], [5, 1], [6, 3], [8, 1]], 1/155520],
[[[1, 2], [2, 7], [5, 1], [6, 3], [10, 1]], 73/777600],
[[[1, 2], [2, 7], [5, 1], [8, 1], [14, 1]], 1/134400],
[[[1, 2], [2, 7], [5, 1], [10, 1], [14, 1]], 1/3200],
[[[1, 2], [2, 7], [6, 1], [7, 1], [14, 1]], 101/2257920],
[[[1, 2], [2, 7], [6, 1], [7, 1], [18, 1]], 1/60480],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 2], [2, 7], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 2], [2, 7], [6, 1], [10, 1], [16, 1]], 1/23040],
[[[1, 2], [2, 7], [6, 1], [14, 1], [18, 1]], 1/2160],
[[[1, 2], [2, 7], [6, 2], [7, 1], [10, 1]], 1/30240],
[[[1, 2], [2, 7], [6, 2], [8, 1], [14, 1]], 5/64512],
[[[1, 2], [2, 7], [6, 2], [8, 1], [18, 1]], 29/331776],
[[[1, 2], [2, 7], [6, 2], [10, 1], [14, 1]], 29/120960],
[[[1, 2], [2, 7], [6, 2], [10, 1], [18, 1]], 421/829440],
[[[1, 2], [2, 7], [6, 3], [8, 1], [10, 1]], 13/414720],
[[[1, 2], [2, 7], [8, 1], [10, 1], [14, 1]], 13/430080],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 4]], 1205/35831808],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 2]], 1/2211840],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 2]], 1/614400],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 3]], 551/79626240],
[[[1, 2], [2, 9], [3, 1], [4, 2], [14, 1]], 1/1204224],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 2]], 107/47775744],
[[[1, 2], [2, 9], [3, 1], [4, 3], [10, 1]], 1/116121600],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 1]], 37/2229534720],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 3]], 1/2332800],
[[[1, 2], [2, 9], [3, 1], [5, 1], [14, 1]], 1/4233600],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 2]], 1/2211840],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 2]], 859/20736000],
[[[1, 2], [2, 9], [3, 1], [6, 1], [16, 1]], 1/7741440],
[[[1, 2], [2, 9], [3, 1], [6, 2], [14, 1]], 17/161280],
[[[1, 2], [2, 9], [3, 1], [6, 2], [18, 1]], 17/497664],
[[[1, 2], [2, 9], [3, 1], [6, 3], [8, 1]], 19/3981312],
[[[1, 2], [2, 9], [3, 1], [6, 3], [10, 1]], 4547/37324800],
[[[1, 2], [2, 9], [3, 1], [8, 1], [14, 1]], 23/13547520],
[[[1, 2], [2, 9], [3, 1], [10, 1], [14, 1]], 37/67737600],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 3]], 7/3317760],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 2]], 1/17694720],
[[[1, 2], [2, 9], [3, 2], [4, 3], [6, 1]], 1/557383680],
[[[1, 2], [2, 9], [3, 2], [6, 1], [14, 1]], 13/20321280],
[[[1, 2], [2, 9], [3, 2], [6, 1], [18, 1]], 1/3732480],
[[[1, 2], [2, 9], [3, 2], [6, 2], [8, 1]], 1/829440],
[[[1, 2], [2, 9], [3, 2], [6, 2], [10, 1]], 911/74649600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 3]], 1/518400],
[[[1, 2], [2, 9], [4, 1], [5, 1], [14, 1]], 23/11289600],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 2]], 1/294912],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 2]], 107/921600],
[[[1, 2], [2, 9], [4, 1], [6, 1], [16, 1]], 1/1935360],
[[[1, 2], [2, 9], [4, 1], [6, 2], [7, 1]], 1/1451520],
[[[1, 2], [2, 9], [4, 1], [6, 2], [14, 1]], 43/368640],
[[[1, 2], [2, 9], [4, 1], [6, 2], [18, 1]], 53/737280],
[[[1, 2], [2, 9], [4, 1], [6, 3], [8, 1]], 89/1990656],
[[[1, 2], [2, 9], [4, 1], [6, 3], [10, 1]], 977/9953280],
[[[1, 2], [2, 9], [4, 1], [6, 3], [12, 1]], 1/311040],
[[[1, 2], [2, 9], [4, 1], [7, 1], [10, 1]], 1/2822400],
[[[1, 2], [2, 9], [4, 1], [8, 1], [14, 1]], 1823/36126720],
[[[1, 2], [2, 9], [4, 1], [10, 1], [14, 1]], 2323/25804800],
[[[1, 2], [2, 9], [4, 1], [12, 1], [14, 1]], 23/6773760],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 2]], 1/552960],
[[[1, 2], [2, 9], [4, 2], [5, 1], [8, 1]], 1/1843200],
[[[1, 2], [2, 9], [4, 2], [5, 1], [10, 1]], 283/129024000],
[[[1, 2], [2, 9], [4, 2], [6, 1], [7, 1]], 1/3386880],
[[[1, 2], [2, 9], [4, 2], [6, 1], [14, 1]], 7439/144506880],
[[[1, 2], [2, 9], [4, 2], [6, 1], [18, 1]], 97/8847360],
[[[1, 2], [2, 9], [4, 2], [6, 2], [8, 1]], 2689/53084160],
[[[1, 2], [2, 9], [4, 2], [6, 2], [10, 1]], 1193/16588800],
[[[1, 2], [2, 9], [4, 2], [6, 2], [12, 1]], 1/165888],
[[[1, 2], [2, 9], [4, 2], [8, 1], [10, 1]], 881/34406400],
[[[1, 2], [2, 9], [4, 2], [8, 1], [12, 1]], 1/1105920],
[[[1, 2], [2, 9], [4, 2], [10, 1], [12, 1]], 1/230400],
[[[1, 2], [2, 9], [4, 3], [6, 1], [8, 1]], 571/123863040],
[[[1, 2], [2, 9], [4, 3], [6, 1], [10, 1]], 1159/132710400],
[[[1, 2], [2, 9], [4, 3], [6, 1], [12, 1]], 1/276480],
[[[1, 2], [2, 9], [5, 1], [6, 1], [14, 1]], 13/5644800],
[[[1, 2], [2, 9], [5, 1], [6, 1], [18, 1]], 1/1036800],
[[[1, 2], [2, 9], [5, 1], [6, 2], [8, 1]], 1/2073600],
[[[1, 2], [2, 9], [5, 1], [6, 2], [10, 1]], 431/20736000],
[[[1, 2], [2, 9], [5, 1], [8, 1], [10, 1]], 239/258048000],
[[[1, 2], [2, 9], [6, 1], [7, 1], [10, 1]], 1/604800],
[[[1, 2], [2, 9], [6, 1], [8, 1], [14, 1]], 23/2580480],
[[[1, 2], [2, 9], [6, 1], [8, 1], [18, 1]], 11/3317760],
[[[1, 2], [2, 9], [6, 1], [10, 1], [14, 1]], 2851/19353600],
[[[1, 2], [2, 9], [6, 1], [10, 1], [18, 1]], 11299/232243200],
[[[1, 2], [2, 9], [6, 2], [8, 1], [10, 1]], 13/1105920],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 3]], 521/143327232],
[[[1, 2], [2, 11], [3, 1], [4, 1], [14, 1]], 11/108380160],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 2]], 1/3096576],
[[[1, 2], [2, 11], [3, 1], [4, 2], [8, 1]], 1/53084160],
[[[1, 2], [2, 11], [3, 1], [4, 2], [10, 1]], 17/348364800],
[[[1, 2], [2, 11], [3, 1], [4, 2], [12, 1]], 1/1045094400],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 1]], 463/20065812480],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 2]], 1/87091200],
[[[1, 2], [2, 11], [3, 1], [5, 1], [10, 1]], 1/217728000],
[[[1, 2], [2, 11], [3, 1], [6, 1], [14, 1]], 55/21676032],
[[[1, 2], [2, 11], [3, 1], [6, 1], [18, 1]], 1/49766400],
[[[1, 2], [2, 11], [3, 1], [6, 2], [8, 1]], 19/92897280],
[[[1, 2], [2, 11], [3, 1], [6, 2], [10, 1]], 811/99532800],
[[[1, 2], [2, 11], [3, 1], [8, 1], [10, 1]], 19/348364800],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 2]], 1/15482880],
[[[1, 2], [2, 11], [3, 2], [6, 1], [8, 1]], 1/92897280],
[[[1, 2], [2, 11], [3, 2], [6, 1], [10, 1]], 11/391910400],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 2]], 1/7741440],
[[[1, 2], [2, 11], [4, 1], [5, 1], [8, 1]], 1/1161216000],
[[[1, 2], [2, 11], [4, 1], [5, 1], [10, 1]], 7897/37158912000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [7, 1]], 1/121927680],
[[[1, 2], [2, 11], [4, 1], [6, 1], [14, 1]], 193/24084480],
[[[1, 2], [2, 11], [4, 1], [6, 1], [18, 1]], 331/278691840],
[[[1, 2], [2, 11], [4, 1], [6, 2], [8, 1]], 1363/371589120],
[[[1, 2], [2, 11], [4, 1], [6, 2], [10, 1]], 7303/464486400],
[[[1, 2], [2, 11], [4, 1], [6, 2], [12, 1]], 1/4644864],
[[[1, 2], [2, 11], [4, 1], [8, 1], [10, 1]], 397/185794560],
[[[1, 2], [2, 11], [4, 1], [10, 1], [12, 1]], 19/174182400],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 1]], 1/19353600],
[[[1, 2], [2, 11], [4, 2], [6, 1], [8, 1]], 1843/1114767360],
[[[1, 2], [2, 11], [4, 2], [6, 1], [10, 1]], 20897/5573836800],
[[[1, 2], [2, 11], [4, 2], [6, 1], [12, 1]], 1/5806080],
[[[1, 2], [2, 11], [5, 1], [6, 1], [8, 1]], 1/174182400],
[[[1, 2], [2, 11], [5, 1], [6, 1], [10, 1]], 2287/3483648000],
[[[1, 2], [2, 11], [6, 1], [8, 1], [10, 1]], 79/154828800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 2]], 32033/441447874560],
[[[1, 2], [2, 13], [3, 1], [4, 1], [8, 1]], 1/5573836800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [10, 1]], 1/348364800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [12, 1]], 1/68976230400],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 1]], 227/61312204800],
[[[1, 2], [2, 13], [3, 1], [5, 1], [6, 1]], 1/14370048000],
[[[1, 2], [2, 13], [3, 1], [6, 1], [8, 1]], 67/35035545600],
[[[1, 2], [2, 13], [3, 1], [6, 1], [10, 1]], 162829/1839366144000],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 1]], 1/2229534720],
[[[1, 2], [2, 13], [4, 1], [5, 1], [6, 1]], 19/12773376000],
[[[1, 2], [2, 13], [4, 1], [6, 1], [8, 1]], 3917/70071091200],
[[[1, 2], [2, 13], [4, 1], [6, 1], [10, 1]], 9397/22295347200],
[[[1, 2], [2, 13], [4, 1], [6, 1], [12, 1]], 19/7664025600],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 1]], 545009/1606870263398400],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 2]], 1/150528],
[[[1, 3], [2, 2], [3, 1], [4, 2], [13, 1]], 1/19968],
[[[1, 3], [2, 2], [3, 1], [4, 3], [11, 1]], 1/101376],
[[[1, 3], [2, 2], [3, 1], [6, 2], [7, 2]], 1/42336],
[[[1, 3], [2, 2], [3, 1], [6, 2], [13, 1]], 1/5616],
[[[1, 3], [2, 2], [3, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 3], [2, 2], [3, 1], [7, 2], [10, 1]], 1/11760],
[[[1, 3], [2, 2], [3, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 2], [3, 1], [8, 1], [26, 1]], 1/4992],
[[[1, 3], [2, 2], [3, 1], [10, 1], [13, 1]], 1/1560],
[[[1, 3], [2, 2], [3, 1], [11, 1], [14, 1]], 1/1848],
[[[1, 3], [2, 2], [3, 2], [4, 1], [14, 2]], 1/56448],
[[[1, 3], [2, 2], [3, 2], [4, 1], [26, 1]], 1/7488],
[[[1, 3], [2, 2], [3, 2], [4, 2], [11, 1]], 1/50688],
[[[1, 3], [2, 2], [3, 2], [4, 3], [8, 2]], 1/73728],
[[[1, 3], [2, 2], [3, 2], [6, 2], [11, 1]], 1/14256],
[[[1, 3], [2, 2], [3, 2], [9, 1], [16, 1]], 1/1728],
[[[1, 3], [2, 2], [3, 2], [10, 1], [11, 1]], 1/3960],
[[[1, 3], [2, 2], [4, 1], [5, 1], [14, 2]], 1/31360],
[[[1, 3], [2, 2], [4, 1], [5, 1], [26, 1]], 1/4160],
[[[1, 3], [2, 2], [4, 1], [5, 2], [16, 1]], 1/6400],
[[[1, 3], [2, 2], [4, 1], [7, 2], [8, 1]], 5/50176],
[[[1, 3], [2, 2], [4, 1], [7, 2], [10, 1]], 1/15680],
[[[1, 3], [2, 2], [4, 1], [7, 2], [12, 1]], 1/9408],
[[[1, 3], [2, 2], [4, 1], [8, 1], [13, 1]], 5/6656],
[[[1, 3], [2, 2], [4, 1], [10, 1], [13, 1]], 1/2080],
[[[1, 3], [2, 2], [4, 1], [11, 1], [14, 1]], 1/1232],
[[[1, 3], [2, 2], [4, 1], [12, 1], [13, 1]], 1/1248],
[[[1, 3], [2, 2], [4, 1], [12, 1], [14, 2]], 1/56448],
[[[1, 3], [2, 2], [4, 1], [12, 1], [26, 1]], 1/7488],
[[[1, 3], [2, 2], [4, 2], [5, 2], [14, 1]], 1/11200],
[[[1, 3], [2, 2], [4, 2], [6, 1], [7, 2]], 5/75264],
[[[1, 3], [2, 2], [4, 2], [6, 1], [13, 1]], 5/9984],
[[[1, 3], [2, 2], [4, 2], [8, 1], [11, 1]], 1/11264],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 2]], 1/20480],
[[[1, 3], [2, 2], [4, 3], [5, 2], [8, 1]], 1/102400],
[[[1, 3], [2, 2], [4, 3], [5, 2], [10, 1]], 1/12800],
[[[1, 3], [2, 2], [4, 3], [6, 1], [11, 1]], 1/50688],
[[[1, 3], [2, 2], [4, 3], [6, 1], [22, 1]], 1/608256],
[[[1, 3], [2, 2], [4, 3], [7, 1], [14, 1]], 5/28672],
[[[1, 3], [2, 2], [4, 4], [5, 2], [6, 1]], 1/460800],
[[[1, 3], [2, 2], [4, 5], [5, 1], [10, 1]], 1/491520],
[[[1, 3], [2, 2], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 3], [2, 2], [5, 1], [6, 1], [13, 1]], 1/1560],
[[[1, 3], [2, 2], [5, 1], [7, 1], [16, 1]], 1/2240],
[[[1, 3], [2, 2], [6, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 3], [2, 2], [6, 1], [7, 2], [10, 1]], 1/11760],
[[[1, 3], [2, 2], [6, 1], [8, 1], [13, 1]], 1/2496],
[[[1, 3], [2, 2], [6, 1], [10, 1], [13, 1]], 1/1560],
[[[1, 3], [2, 2], [8, 1], [10, 1], [11, 1]], 1/1760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [14, 2]], 11/150528],
[[[1, 3], [2, 4], [3, 1], [4, 1], [26, 1]], 11/19968],
[[[1, 3], [2, 4], [3, 1], [4, 2], [11, 1]], 17/811008],
[[[1, 3], [2, 4], [3, 1], [4, 2], [22, 1]], 5/16896],
[[[1, 3], [2, 4], [3, 1], [4, 3], [10, 2]], 31/921600],
[[[1, 3], [2, 4], [3, 1], [4, 4], [7, 1]], 1/1548288],
[[[1, 3], [2, 4], [3, 1], [4, 4], [9, 1]], 1/663552],
[[[1, 3], [2, 4], [3, 1], [4, 4], [14, 1]], 1/129024],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 2]], 1/331776],
[[[1, 3], [2, 4], [3, 1], [4, 5], [8, 1]], 1/147456],
[[[1, 3], [2, 4], [3, 1], [4, 5], [10, 1]], 1/368640],
[[[1, 3], [2, 4], [3, 1], [4, 6], [6, 1]], 1/2359296],
[[[1, 3], [2, 4], [3, 1], [5, 1], [11, 1]], 1/126720],
[[[1, 3], [2, 4], [3, 1], [5, 1], [22, 1]], 1/2640],
[[[1, 3], [2, 4], [3, 1], [5, 2], [9, 1]], 1/172800],
[[[1, 3], [2, 4], [3, 1], [6, 1], [7, 2]], 1/169344],
[[[1, 3], [2, 4], [3, 1], [6, 1], [13, 1]], 1/22464],
[[[1, 3], [2, 4], [3, 1], [6, 1], [14, 2]], 17/56448],
[[[1, 3], [2, 4], [3, 1], [6, 1], [26, 1]], 5/7488],
[[[1, 3], [2, 4], [3, 1], [6, 2], [11, 1]], 1/38016],
[[[1, 3], [2, 4], [3, 1], [6, 2], [22, 1]], 5/19008],
[[[1, 3], [2, 4], [3, 1], [6, 3], [16, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [8, 1], [11, 1]], 1/50688],
[[[1, 3], [2, 4], [3, 1], [8, 1], [22, 1]], 7/25344],
[[[1, 3], [2, 4], [3, 1], [10, 1], [11, 1]], 1/31680],
[[[1, 3], [2, 4], [3, 1], [10, 1], [22, 1]], 1/2640],
[[[1, 3], [2, 4], [3, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 3], [2, 4], [3, 2], [4, 1], [22, 1]], 1/38016],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 3]], 5/995328],
[[[1, 3], [2, 4], [3, 2], [4, 3], [9, 1]], 1/995328],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 2]], 35/5308416],
[[[1, 3], [2, 4], [3, 2], [4, 4], [8, 1]], 1/2654208],
[[[1, 3], [2, 4], [3, 2], [6, 1], [11, 1]], 1/57024],
[[[1, 3], [2, 4], [3, 2], [6, 1], [22, 1]], 1/6336],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 2]], 1/10800],
[[[1, 3], [2, 4], [3, 2], [6, 2], [16, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 2], [6, 3], [18, 1]], 5/11664],
[[[1, 3], [2, 4], [3, 2], [7, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 2]], 1/331776],
[[[1, 3], [2, 4], [3, 3], [6, 2], [14, 1]], 1/18144],
[[[1, 3], [2, 4], [3, 3], [6, 3], [10, 1]], 1/38880],
[[[1, 3], [2, 4], [4, 1], [5, 1], [22, 1]], 7/21120],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 2]], 1/75264],
[[[1, 3], [2, 4], [4, 1], [6, 1], [13, 1]], 1/9984],
[[[1, 3], [2, 4], [4, 1], [6, 1], [14, 2]], 31/225792],
[[[1, 3], [2, 4], [4, 1], [6, 1], [26, 1]], 7/29952],
[[[1, 3], [2, 4], [4, 1], [6, 2], [11, 1]], 1/12672],
[[[1, 3], [2, 4], [4, 1], [6, 2], [22, 1]], 7/76032],
[[[1, 3], [2, 4], [4, 1], [7, 1], [10, 2]], 3/22400],
[[[1, 3], [2, 4], [4, 1], [8, 1], [22, 1]], 5/11264],
[[[1, 3], [2, 4], [4, 1], [10, 1], [11, 1]], 1/7040],
[[[1, 3], [2, 4], [4, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 3], [2, 4], [4, 1], [11, 1], [12, 1]], 1/12672],
[[[1, 3], [2, 4], [4, 1], [12, 1], [22, 1]], 19/38016],
[[[1, 3], [2, 4], [4, 1], [14, 1], [16, 1]], 1/1792],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 2]], 1/5120],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 2]], 89/128000],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 2]], 1/115200],
[[[1, 3], [2, 4], [4, 2], [5, 2], [10, 1]], 3/32000],
[[[1, 3], [2, 4], [4, 2], [5, 2], [12, 1]], 1/115200],
[[[1, 3], [2, 4], [4, 2], [6, 1], [22, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 2]], 5/73728],
[[[1, 3], [2, 4], [4, 2], [6, 2], [16, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 2], [6, 3], [18, 1]], 1/82944],
[[[1, 3], [2, 4], [4, 2], [7, 1], [14, 1]], 1315/1204224],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 2]], 11/204800],
[[[1, 3], [2, 4], [4, 2], [8, 1], [16, 1]], 1/1024],
[[[1, 3], [2, 4], [4, 2], [8, 2], [10, 1]], 9/20480],
[[[1, 3], [2, 4], [4, 2], [10, 1], [16, 1]], 1/5120],
[[[1, 3], [2, 4], [4, 2], [10, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 3], [5, 1], [7, 1]], 1/1290240],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 2]], 1/8192],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 2]], 1/276480],
[[[1, 3], [2, 4], [4, 3], [6, 2], [7, 1]], 1/32256],
[[[1, 3], [2, 4], [4, 3], [6, 2], [14, 1]], 19/2322432],
[[[1, 3], [2, 4], [4, 3], [6, 2], [18, 1]], 25/995328],
[[[1, 3], [2, 4], [4, 3], [6, 3], [8, 1]], 1/221184],
[[[1, 3], [2, 4], [4, 3], [6, 3], [10, 1]], 1/14929920],
[[[1, 3], [2, 4], [4, 3], [7, 1], [8, 1]], 1/3584],
[[[1, 3], [2, 4], [4, 3], [7, 1], [10, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 3], [8, 1], [14, 1]], 9/28672],
[[[1, 3], [2, 4], [4, 3], [10, 1], [14, 1]], 1/184320],
[[[1, 3], [2, 4], [4, 4], [5, 1], [8, 1]], 1/737280],
[[[1, 3], [2, 4], [4, 4], [5, 1], [10, 1]], 61/983040],
[[[1, 3], [2, 4], [4, 4], [6, 1], [14, 1]], 1/258048],
[[[1, 3], [2, 4], [4, 4], [6, 1], [18, 1]], 1/110592],
[[[1, 3], [2, 4], [4, 4], [6, 2], [8, 1]], 5/884736],
[[[1, 3], [2, 4], [4, 4], [8, 1], [10, 1]], 17/245760],
[[[1, 3], [2, 4], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 5], [6, 1], [8, 1]], 1/147456],
[[[1, 3], [2, 4], [5, 1], [6, 1], [22, 1]], 1/1760],
[[[1, 3], [2, 4], [5, 1], [6, 3], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [5, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 2]], 3/16000],
[[[1, 3], [2, 4], [5, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 3], [2, 4], [5, 1], [10, 1], [16, 1]], 3/2560],
[[[1, 3], [2, 4], [5, 2], [6, 2], [10, 1]], 1/3600],
[[[1, 3], [2, 4], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 3], [2, 4], [6, 1], [8, 1], [11, 1]], 1/8448],
[[[1, 3], [2, 4], [6, 1], [8, 1], [22, 1]], 7/101376],
[[[1, 3], [2, 4], [6, 1], [10, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 4], [6, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 3], [2, 4], [6, 1], [14, 1], [16, 1]], 1/5376],
[[[1, 3], [2, 4], [6, 1], [16, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [6, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 4], [7, 1], [8, 1], [14, 1]], 13/43008],
[[[1, 3], [2, 4], [7, 1], [10, 1], [14, 1]], 13/12544],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 5]], 1/93312],
[[[1, 3], [2, 6], [3, 1], [4, 1], [11, 1]], 1/2027520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [22, 1]], 17/101376],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 4]], 59/746496],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 2]], 1/24576],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 2]], 1/25600],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 3]], 655/11943936],
[[[1, 3], [2, 6], [3, 1], [4, 3], [14, 1]], 31/774144],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 2]], 185/5308416],
[[[1, 3], [2, 6], [3, 1], [4, 4], [8, 1]], 1/884736],
[[[1, 3], [2, 6], [3, 1], [4, 4], [10, 1]], 1/552960],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 1]], 5/2654208],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 4]], 19/466560],
[[[1, 3], [2, 6], [3, 1], [5, 1], [10, 2]], 11/144000],
[[[1, 3], [2, 6], [3, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 3], [2, 6], [3, 1], [6, 1], [11, 1]], 1/1520640],
[[[1, 3], [2, 6], [3, 1], [6, 1], [22, 1]], 53/76032],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 2]], 1/36864],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 2]], 11/57600],
[[[1, 3], [2, 6], [3, 1], [6, 2], [16, 1]], 1/6912],
[[[1, 3], [2, 6], [3, 1], [6, 3], [7, 1]], 1/12096],
[[[1, 3], [2, 6], [3, 1], [6, 3], [14, 1]], 43/145152],
[[[1, 3], [2, 6], [3, 1], [6, 3], [18, 1]], 5/5184],
[[[1, 3], [2, 6], [3, 1], [6, 4], [8, 1]], 13/497664],
[[[1, 3], [2, 6], [3, 1], [6, 4], [10, 1]], 7/311040],
[[[1, 3], [2, 6], [3, 1], [7, 1], [14, 1]], 1/107520],
[[[1, 3], [2, 6], [3, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 4]], 71/248832],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 2]], 1/4423680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 2]], 1/345600],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 3]], 61/663552],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 2]], 17/995328],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 1]], 1/1327104],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 3]], 1/25920],
[[[1, 3], [2, 6], [3, 2], [5, 1], [9, 1]], 1/12441600],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 6], [3, 2], [6, 2], [14, 1]], 25/48384],
[[[1, 3], [2, 6], [3, 2], [6, 2], [18, 1]], 11/186624],
[[[1, 3], [2, 6], [3, 2], [6, 3], [8, 1]], 5/55296],
[[[1, 3], [2, 6], [3, 2], [6, 3], [10, 1]], 223/466560],
[[[1, 3], [2, 6], [3, 2], [8, 1], [9, 1]], 1/1658880],
[[[1, 3], [2, 6], [3, 2], [10, 1], [14, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 3]], 1/41472],
[[[1, 3], [2, 6], [3, 3], [6, 1], [14, 1]], 1/145152],
[[[1, 3], [2, 6], [3, 3], [6, 2], [8, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 3], [6, 2], [10, 1]], 1/62208],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 4]], 19/1244160],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 2]], 41/1228800],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 2]], 253/384000],
[[[1, 3], [2, 6], [4, 1], [5, 2], [8, 1]], 1/6144000],
[[[1, 3], [2, 6], [4, 1], [5, 2], [10, 1]], 17/153600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [11, 1]], 1/202752],
[[[1, 3], [2, 6], [4, 1], [6, 1], [22, 1]], 1181/2433024],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 2]], 19/147456],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 2]], 1/34560],
[[[1, 3], [2, 6], [4, 1], [6, 2], [16, 1]], 1/9216],
[[[1, 3], [2, 6], [4, 1], [6, 3], [7, 1]], 1/24192],
[[[1, 3], [2, 6], [4, 1], [6, 3], [14, 1]], 17/290304],
[[[1, 3], [2, 6], [4, 1], [6, 3], [18, 1]], 43/124416],
[[[1, 3], [2, 6], [4, 1], [6, 4], [8, 1]], 17/1990656],
[[[1, 3], [2, 6], [4, 1], [6, 4], [10, 1]], 7/1866240],
[[[1, 3], [2, 6], [4, 1], [6, 4], [12, 1]], 7/2239488],
[[[1, 3], [2, 6], [4, 1], [7, 1], [14, 1]], 2837/12042240],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 2]], 27/102400],
[[[1, 3], [2, 6], [4, 1], [8, 1], [16, 1]], 1/12288],
[[[1, 3], [2, 6], [4, 1], [8, 2], [10, 1]], 3/40960],
[[[1, 3], [2, 6], [4, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 6], [4, 1], [10, 2], [12, 1]], 23/345600],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 3]], 1/103680],
[[[1, 3], [2, 6], [4, 2], [5, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 6], [4, 2], [5, 2], [6, 1]], 1/1843200],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 2]], 145/147456],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 2]], 217/921600],
[[[1, 3], [2, 6], [4, 2], [6, 1], [16, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 2], [6, 2], [7, 1]], 1/16128],
[[[1, 3], [2, 6], [4, 2], [6, 2], [14, 1]], 53/258048],
[[[1, 3], [2, 6], [4, 2], [6, 2], [18, 1]], 485/663552],
[[[1, 3], [2, 6], [4, 2], [6, 3], [8, 1]], 91/663552],
[[[1, 3], [2, 6], [4, 2], [6, 3], [10, 1]], 13/552960],
[[[1, 3], [2, 6], [4, 2], [6, 3], [12, 1]], 1/62208],
[[[1, 3], [2, 6], [4, 2], [7, 1], [8, 1]], 1/21504],
[[[1, 3], [2, 6], [4, 2], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 6], [4, 2], [8, 1], [14, 1]], 191/172032],
[[[1, 3], [2, 6], [4, 2], [10, 1], [14, 1]], 5/8192],
[[[1, 3], [2, 6], [4, 2], [12, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 2]], 1/184320],
[[[1, 3], [2, 6], [4, 3], [5, 1], [8, 1]], 1/20480],
[[[1, 3], [2, 6], [4, 3], [5, 1], [10, 1]], 157/1638400],
[[[1, 3], [2, 6], [4, 3], [6, 1], [7, 1]], 1/32256],
[[[1, 3], [2, 6], [4, 3], [6, 1], [14, 1]], 1117/9289728],
[[[1, 3], [2, 6], [4, 3], [6, 1], [18, 1]], 5641/19906560],
[[[1, 3], [2, 6], [4, 3], [6, 2], [8, 1]], 133/589824],
[[[1, 3], [2, 6], [4, 3], [6, 2], [10, 1]], 667/9953280],
[[[1, 3], [2, 6], [4, 3], [6, 2], [12, 1]], 1/36864],
[[[1, 3], [2, 6], [4, 3], [8, 1], [10, 1]], 371/491520],
[[[1, 3], [2, 6], [4, 3], [8, 1], [12, 1]], 7/36864],
[[[1, 3], [2, 6], [4, 3], [10, 1], [12, 1]], 1/10240],
[[[1, 3], [2, 6], [4, 4], [6, 1], [8, 1]], 77/884736],
[[[1, 3], [2, 6], [4, 4], [6, 1], [10, 1]], 397/8847360],
[[[1, 3], [2, 6], [4, 4], [6, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 2]], 11/32000],
[[[1, 3], [2, 6], [5, 1], [6, 2], [14, 1]], 1/6720],
[[[1, 3], [2, 6], [5, 1], [6, 2], [18, 1]], 11/51840],
[[[1, 3], [2, 6], [5, 1], [6, 3], [8, 1]], 1/103680],
[[[1, 3], [2, 6], [5, 1], [6, 3], [10, 1]], 1/10800],
[[[1, 3], [2, 6], [5, 1], [7, 1], [8, 1]], 1/2150400],
[[[1, 3], [2, 6], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 6], [5, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 6], [5, 1], [10, 1], [14, 1]], 47/67200],
[[[1, 3], [2, 6], [5, 2], [6, 1], [10, 1]], 1/14400],
[[[1, 3], [2, 6], [6, 1], [7, 1], [14, 1]], 59/200704],
[[[1, 3], [2, 6], [6, 1], [7, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 2]], 13/460800],
[[[1, 3], [2, 6], [6, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 3], [2, 6], [6, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 6], [6, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 3], [2, 6], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 6], [6, 2], [8, 1], [14, 1]], 19/387072],
[[[1, 3], [2, 6], [6, 2], [8, 1], [18, 1]], 25/165888],
[[[1, 3], [2, 6], [6, 2], [10, 1], [14, 1]], 1/11520],
[[[1, 3], [2, 6], [6, 2], [10, 1], [18, 1]], 17/69120],
[[[1, 3], [2, 6], [6, 3], [8, 1], [10, 1]], 7/2488320],
[[[1, 3], [2, 6], [8, 1], [10, 1], [14, 1]], 13/215040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 4]], 1001/5971968],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 2]], 17/2211840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 2]], 301/18432000],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 3]], 16561/119439360],
[[[1, 3], [2, 8], [3, 1], [4, 2], [7, 1]], 1/216760320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [9, 1]], 1/92897280],
[[[1, 3], [2, 8], [3, 1], [4, 2], [14, 1]], 1/73728],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 2]], 1271/39813120],
[[[1, 3], [2, 8], [3, 1], [4, 3], [8, 1]], 5/1769472],
[[[1, 3], [2, 8], [3, 1], [4, 3], [10, 1]], 77/22118400],
[[[1, 3], [2, 8], [3, 1], [4, 3], [12, 1]], 1/1658880],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 1]], 209/53084160],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 3]], 121/9331200],
[[[1, 3], [2, 8], [3, 1], [5, 1], [9, 1]], 1/928972800],
[[[1, 3], [2, 8], [3, 1], [5, 1], [14, 1]], 1/201600],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 2]], 1/294912],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 2]], 19/115200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [16, 1]], 1/276480],
[[[1, 3], [2, 8], [3, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 3], [2, 8], [3, 1], [6, 2], [14, 1]], 1481/3870720],
[[[1, 3], [2, 8], [3, 1], [6, 2], [18, 1]], 167/829440],
[[[1, 3], [2, 8], [3, 1], [6, 3], [8, 1]], 257/6635520],
[[[1, 3], [2, 8], [3, 1], [6, 3], [10, 1]], 1403/4976640],
[[[1, 3], [2, 8], [3, 1], [8, 1], [14, 1]], 37/3386880],
[[[1, 3], [2, 8], [3, 1], [10, 1], [14, 1]], 37/3225600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 3]], 1187/11943936],
[[[1, 3], [2, 8], [3, 2], [4, 1], [9, 1]], 1/139345920],
[[[1, 3], [2, 8], [3, 2], [4, 1], [14, 1]], 1/564480],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 2]], 623/53084160],
[[[1, 3], [2, 8], [3, 2], [4, 2], [8, 1]], 1/371589120],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 1]], 1/19906560],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 2]], 1/259200],
[[[1, 3], [2, 8], [3, 2], [5, 1], [10, 1]], 1/829440],
[[[1, 3], [2, 8], [3, 2], [6, 1], [14, 1]], 17/1935360],
[[[1, 3], [2, 8], [3, 2], [6, 1], [18, 1]], 1/233280],
[[[1, 3], [2, 8], [3, 2], [6, 2], [8, 1]], 7/442368],
[[[1, 3], [2, 8], [3, 2], [6, 2], [10, 1]], 3287/24883200],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 2]], 1/1327104],
[[[1, 3], [2, 8], [3, 3], [6, 1], [10, 1]], 1/622080],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 3]], 19/1555200],
[[[1, 3], [2, 8], [4, 1], [5, 1], [7, 1]], 1/180633600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [14, 1]], 109/5644800],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 2]], 11/294912],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 2]], 737/2764800],
[[[1, 3], [2, 8], [4, 1], [6, 1], [16, 1]], 1/92160],
[[[1, 3], [2, 8], [4, 1], [6, 2], [7, 1]], 1/64512],
[[[1, 3], [2, 8], [4, 1], [6, 2], [14, 1]], 841/3096576],
[[[1, 3], [2, 8], [4, 1], [6, 2], [18, 1]], 5941/19906560],
[[[1, 3], [2, 8], [4, 1], [6, 3], [8, 1]], 871/7962624],
[[[1, 3], [2, 8], [4, 1], [6, 3], [10, 1]], 7309/59719680],
[[[1, 3], [2, 8], [4, 1], [6, 3], [12, 1]], 53/5598720],
[[[1, 3], [2, 8], [4, 1], [7, 1], [8, 1]], 1/322560],
[[[1, 3], [2, 8], [4, 1], [7, 1], [10, 1]], 1/89600],
[[[1, 3], [2, 8], [4, 1], [8, 1], [14, 1]], 421/1720320],
[[[1, 3], [2, 8], [4, 1], [10, 1], [14, 1]], 1193/3686400],
[[[1, 3], [2, 8], [4, 1], [12, 1], [14, 1]], 221/10160640],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 2]], 1/69120],
[[[1, 3], [2, 8], [4, 2], [5, 1], [8, 1]], 1009/103219200],
[[[1, 3], [2, 8], [4, 2], [5, 1], [10, 1]], 2353/49152000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [7, 1]], 1/161280],
[[[1, 3], [2, 8], [4, 2], [6, 1], [14, 1]], 103/368640],
[[[1, 3], [2, 8], [4, 2], [6, 1], [18, 1]], 203/1658880],
[[[1, 3], [2, 8], [4, 2], [6, 2], [8, 1]], 1085/3538944],
[[[1, 3], [2, 8], [4, 2], [6, 2], [10, 1]], 203/737280],
[[[1, 3], [2, 8], [4, 2], [6, 2], [12, 1]], 5/165888],
[[[1, 3], [2, 8], [4, 2], [8, 1], [10, 1]], 1357/4915200],
[[[1, 3], [2, 8], [4, 2], [8, 1], [12, 1]], 17/1105920],
[[[1, 3], [2, 8], [4, 2], [10, 1], [12, 1]], 23/691200],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 1]], 1/184320],
[[[1, 3], [2, 8], [4, 3], [6, 1], [8, 1]], 257/1474560],
[[[1, 3], [2, 8], [4, 3], [6, 1], [10, 1]], 1129/7962624],
[[[1, 3], [2, 8], [4, 3], [6, 1], [12, 1]], 1/36864],
[[[1, 3], [2, 8], [5, 1], [6, 1], [14, 1]], 1/33600],
[[[1, 3], [2, 8], [5, 1], [6, 1], [18, 1]], 1/64800],
[[[1, 3], [2, 8], [5, 1], [6, 2], [8, 1]], 1/276480],
[[[1, 3], [2, 8], [5, 1], [6, 2], [10, 1]], 19/184320],
[[[1, 3], [2, 8], [5, 1], [8, 1], [10, 1]], 187/12288000],
[[[1, 3], [2, 8], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 3], [2, 8], [6, 1], [8, 1], [14, 1]], 137/3096576],
[[[1, 3], [2, 8], [6, 1], [8, 1], [18, 1]], 149/6635520],
[[[1, 3], [2, 8], [6, 1], [10, 1], [14, 1]], 33/143360],
[[[1, 3], [2, 8], [6, 1], [10, 1], [18, 1]], 239/1843200],
[[[1, 3], [2, 8], [6, 2], [8, 1], [10, 1]], 61/1658880],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 3]], 787/15925248],
[[[1, 3], [2, 10], [3, 1], [4, 1], [14, 1]], 31/21676032],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 2]], 18577/1114767360],
[[[1, 3], [2, 10], [3, 1], [4, 2], [8, 1]], 11/17694720],
[[[1, 3], [2, 10], [3, 1], [4, 2], [10, 1]], 29/25804800],
[[[1, 3], [2, 10], [3, 1], [4, 2], [12, 1]], 1/23224320],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 1]], 679/637009920],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 2]], 73/87091200],
[[[1, 3], [2, 10], [3, 1], [5, 1], [10, 1]], 11/43008000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [7, 1]], 1/13547520],
[[[1, 3], [2, 10], [3, 1], [6, 1], [14, 1]], 1721/72253440],
[[[1, 3], [2, 10], [3, 1], [6, 1], [18, 1]], 1/1658880],
[[[1, 3], [2, 10], [3, 1], [6, 2], [8, 1]], 299/92897280],
[[[1, 3], [2, 10], [3, 1], [6, 2], [10, 1]], 28127/464486400],
[[[1, 3], [2, 10], [3, 1], [8, 1], [10, 1]], 451/696729600],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 2]], 1399/278691840],
[[[1, 3], [2, 10], [3, 2], [4, 1], [8, 1]], 1/19906560],
[[[1, 3], [2, 10], [3, 2], [4, 1], [10, 1]], 127/1045094400],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 1]], 1/4644864],
[[[1, 3], [2, 10], [3, 2], [5, 1], [6, 1]], 1/29030400],
[[[1, 3], [2, 10], [3, 2], [6, 1], [8, 1]], 1/3096576],
[[[1, 3], [2, 10], [3, 2], [6, 1], [10, 1]], 19/24883200],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 2]], 439/232243200],
[[[1, 3], [2, 10], [4, 1], [5, 1], [8, 1]], 17/77414400],
[[[1, 3], [2, 10], [4, 1], [5, 1], [10, 1]], 27391/5308416000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [7, 1]], 1/2257920],
[[[1, 3], [2, 10], [4, 1], [6, 1], [14, 1]], 8137/144506880],
[[[1, 3], [2, 10], [4, 1], [6, 1], [18, 1]], 6961/557383680],
[[[1, 3], [2, 10], [4, 1], [6, 2], [8, 1]], 21463/743178240],
[[[1, 3], [2, 10], [4, 1], [6, 2], [10, 1]], 3323/39813120],
[[[1, 3], [2, 10], [4, 1], [6, 2], [12, 1]], 799/418037760],
[[[1, 3], [2, 10], [4, 1], [8, 1], [10, 1]], 12793/619315200],
[[[1, 3], [2, 10], [4, 1], [10, 1], [12, 1]], 193/149299200],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 1]], 23/19353600],
[[[1, 3], [2, 10], [4, 2], [6, 1], [8, 1]], 3851/123863040],
[[[1, 3], [2, 10], [4, 2], [6, 1], [10, 1]], 3623/68812800],
[[[1, 3], [2, 10], [4, 2], [6, 1], [12, 1]], 1/387072],
[[[1, 3], [2, 10], [5, 1], [6, 1], [8, 1]], 1/9676800],
[[[1, 3], [2, 10], [5, 1], [6, 1], [10, 1]], 301/36864000],
[[[1, 3], [2, 10], [6, 1], [8, 1], [10, 1]], 311/66355200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1]], 1/1741824000],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 2]], 703/334430208],
[[[1, 3], [2, 12], [3, 1], [4, 1], [8, 1]], 17/1393459200],
[[[1, 3], [2, 12], [3, 1], [4, 1], [10, 1]], 1/16128000],
[[[1, 3], [2, 12], [3, 1], [4, 1], [12, 1]], 1/2090188800],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 1]], 140599/535088332800],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 1]], 17/2090188800],
[[[1, 3], [2, 12], [3, 1], [6, 1], [8, 1]], 1559/30656102400],
[[[1, 3], [2, 12], [3, 1], [6, 1], [10, 1]], 3739/2786918400],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 1]], 13/567705600],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 1]], 1783/38320128000],
[[[1, 3], [2, 12], [4, 1], [6, 1], [8, 1]], 419/445906944],
[[[1, 3], [2, 12], [4, 1], [6, 1], [10, 1]], 86683/16721510400],
[[[1, 3], [2, 12], [4, 1], [6, 1], [12, 1]], 3301/68976230400],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 1]], 47387/2942985830400],
[[[1, 3], [3, 1], [4, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 3], [3, 1], [4, 1], [8, 1], [13, 1]], 1/2496],
[[[1, 3], [3, 1], [4, 2], [5, 1], [11, 1]], 1/10560],
[[[1, 3], [3, 1], [4, 2], [5, 2], [9, 1]], 1/14400],
[[[1, 3], [3, 1], [4, 2], [11, 1], [12, 1]], 1/3168],
[[[1, 3], [3, 1], [4, 4], [5, 1], [9, 1]], 1/552960],
[[[1, 3], [3, 1], [5, 1], [8, 2], [9, 1]], 1/11520],
[[[1, 3], [3, 2], [4, 1], [8, 1], [11, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 1], [4, 2], [7, 2]], 1/75264],
[[[1, 4], [2, 1], [3, 1], [4, 2], [13, 1]], 1/9984],
[[[1, 4], [2, 1], [3, 1], [4, 3], [11, 1]], 13/202752],
[[[1, 4], [2, 1], [3, 1], [4, 5], [7, 1]], 1/1032192],
[[[1, 4], [2, 1], [3, 1], [4, 5], [9, 1]], 1/442368],
[[[1, 4], [2, 1], [3, 1], [5, 2], [16, 1]], 1/4800],
[[[1, 4], [2, 1], [3, 1], [7, 1], [11, 1]], 1/1848],
[[[1, 4], [2, 1], [3, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 4], [2, 1], [3, 1], [8, 1], [13, 1]], 1/2496],
[[[1, 4], [2, 1], [3, 1], [9, 1], [11, 1]], 1/396],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 2]], 1/56448],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 3]], 1/36864],
[[[1, 4], [2, 1], [3, 2], [4, 1], [9, 2]], 1/648],
[[[1, 4], [2, 1], [3, 2], [4, 1], [13, 1]], 1/7488],
[[[1, 4], [2, 1], [3, 2], [4, 2], [11, 1]], 1/25344],
[[[1, 4], [2, 1], [3, 2], [4, 4], [9, 1]], 1/663552],
[[[1, 4], [2, 1], [3, 2], [4, 5], [8, 1]], 1/1769472],
[[[1, 4], [2, 1], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 4], [2, 1], [3, 2], [6, 1], [13, 1]], 1/936],
[[[1, 4], [2, 1], [3, 2], [7, 1], [16, 1]], 1/4032],
[[[1, 4], [2, 1], [3, 2], [8, 1], [11, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 2], [8, 2], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 2], [9, 1], [16, 1]], 1/1728],
[[[1, 4], [2, 1], [3, 3], [4, 1], [11, 1]], 1/19008],
[[[1, 4], [2, 1], [3, 3], [4, 2], [8, 2]], 1/27648],
[[[1, 4], [2, 1], [3, 3], [5, 1], [16, 1]], 1/25920],
[[[1, 4], [2, 1], [3, 3], [6, 1], [11, 1]], 1/2376],
[[[1, 4], [2, 1], [3, 3], [7, 1], [14, 1]], 1/18144],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 2]], 3/15680],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 3]], 1/10240],
[[[1, 4], [2, 1], [4, 1], [5, 1], [13, 1]], 3/2080],
[[[1, 4], [2, 1], [4, 1], [5, 2], [8, 2]], 1/51200],
[[[1, 4], [2, 1], [4, 1], [7, 2], [8, 1]], 9/25088],
[[[1, 4], [2, 1], [4, 1], [7, 2], [10, 1]], 1/31360],
[[[1, 4], [2, 1], [4, 1], [7, 2], [12, 1]], 1/18816],
[[[1, 4], [2, 1], [4, 1], [8, 1], [13, 1]], 9/3328],
[[[1, 4], [2, 1], [4, 1], [10, 1], [13, 1]], 1/4160],
[[[1, 4], [2, 1], [4, 1], [11, 1], [14, 1]], 1/3696],
[[[1, 4], [2, 1], [4, 1], [12, 1], [13, 1]], 1/2496],
[[[1, 4], [2, 1], [4, 2], [5, 1], [11, 1]], 1/7040],
[[[1, 4], [2, 1], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 4], [2, 1], [4, 2], [8, 1], [11, 1]], 1/33792],
[[[1, 4], [2, 1], [4, 2], [11, 1], [12, 1]], 1/2112],
[[[1, 4], [2, 1], [4, 3], [5, 2], [8, 1]], 1/12800],
[[[1, 4], [2, 1], [4, 3], [5, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 1], [4, 3], [6, 1], [11, 1]], 1/152064],
[[[1, 4], [2, 1], [4, 3], [7, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 1], [4, 4], [5, 1], [7, 1]], 1/860160],
[[[1, 4], [2, 1], [4, 5], [5, 1], [8, 1]], 1/491520],
[[[1, 4], [2, 1], [5, 1], [7, 1], [8, 2]], 1/17920],
[[[1, 4], [2, 1], [5, 1], [7, 1], [16, 1]], 1/2240],
[[[1, 4], [2, 1], [6, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 4], [2, 1], [6, 1], [8, 1], [13, 1]], 1/4992],
[[[1, 4], [2, 1], [8, 1], [10, 1], [11, 1]], 1/5280],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 2]], 31/225792],
[[[1, 4], [2, 3], [3, 1], [4, 1], [13, 1]], 7/29952],
[[[1, 4], [2, 3], [3, 1], [4, 1], [14, 2]], 1/75264],
[[[1, 4], [2, 3], [3, 1], [4, 1], [26, 1]], 1/9984],
[[[1, 4], [2, 3], [3, 1], [4, 2], [11, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2]], 1/276480],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 2]], 1/8192],
[[[1, 4], [2, 3], [3, 1], [4, 4], [7, 1]], 1/258048],
[[[1, 4], [2, 3], [3, 1], [4, 4], [9, 1]], 1/110592],
[[[1, 4], [2, 3], [3, 1], [4, 5], [8, 1]], 1/147456],
[[[1, 4], [2, 3], [3, 1], [4, 6], [6, 1]], 1/2359296],
[[[1, 4], [2, 3], [3, 1], [5, 1], [11, 1]], 1/10560],
[[[1, 4], [2, 3], [3, 1], [5, 2], [9, 1]], 1/14400],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 2]], 17/56448],
[[[1, 4], [2, 3], [3, 1], [6, 1], [13, 1]], 5/7488],
[[[1, 4], [2, 3], [3, 1], [6, 1], [14, 2]], 1/169344],
[[[1, 4], [2, 3], [3, 1], [6, 1], [26, 1]], 1/22464],
[[[1, 4], [2, 3], [3, 1], [6, 2], [11, 1]], 1/6336],
[[[1, 4], [2, 3], [3, 1], [6, 2], [22, 1]], 1/57024],
[[[1, 4], [2, 3], [3, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [8, 1], [11, 1]], 7/101376],
[[[1, 4], [2, 3], [3, 1], [8, 1], [22, 1]], 1/8448],
[[[1, 4], [2, 3], [3, 1], [9, 1], [16, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 1], [10, 1], [11, 1]], 1/1760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [11, 1]], 7/76032],
[[[1, 4], [2, 3], [3, 2], [4, 1], [22, 1]], 1/12672],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 2]], 5/73728],
[[[1, 4], [2, 3], [3, 2], [4, 2], [10, 2]], 1/115200],
[[[1, 4], [2, 3], [3, 2], [4, 2], [16, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 3]], 1/331776],
[[[1, 4], [2, 3], [3, 2], [4, 3], [7, 1]], 19/2322432],
[[[1, 4], [2, 3], [3, 2], [4, 3], [9, 1]], 25/995328],
[[[1, 4], [2, 3], [3, 2], [4, 3], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 2]], 35/5308416],
[[[1, 4], [2, 3], [3, 2], [4, 4], [8, 1]], 5/884736],
[[[1, 4], [2, 3], [3, 2], [4, 5], [6, 1]], 1/331776],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 2]], 1/3600],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 2]], 1/10800],
[[[1, 4], [2, 3], [3, 2], [6, 1], [11, 1]], 5/19008],
[[[1, 4], [2, 3], [3, 2], [6, 1], [22, 1]], 1/38016],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 4], [2, 3], [3, 2], [6, 2], [16, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [6, 3], [7, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 2], [7, 1], [9, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 2], [9, 1], [14, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 3], [4, 2], [9, 1]], 1/82944],
[[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1]], 1/14929920],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 2]], 5/995328],
[[[1, 4], [2, 3], [3, 3], [4, 3], [8, 1]], 1/221184],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 3]], 1/38880],
[[[1, 4], [2, 3], [3, 3], [6, 1], [16, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 3], [6, 2], [9, 1]], 5/11664],
[[[1, 4], [2, 3], [3, 3], [9, 1], [10, 1]], 1/6480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [22, 1]], 1/7040],
[[[1, 4], [2, 3], [4, 1], [5, 2], [7, 1]], 1/22400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [14, 1]], 3/22400],
[[[1, 4], [2, 3], [4, 1], [5, 3], [6, 1]], 1/24000],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 2]], 11/150528],
[[[1, 4], [2, 3], [4, 1], [6, 1], [13, 1]], 11/19968],
[[[1, 4], [2, 3], [4, 1], [6, 2], [11, 1]], 1/38016],
[[[1, 4], [2, 3], [4, 1], [7, 1], [16, 1]], 1/1792],
[[[1, 4], [2, 3], [4, 1], [8, 1], [11, 1]], 5/11264],
[[[1, 4], [2, 3], [4, 1], [10, 1], [11, 1]], 7/21120],
[[[1, 4], [2, 3], [4, 1], [11, 1], [12, 1]], 19/38016],
[[[1, 4], [2, 3], [4, 1], [12, 1], [22, 1]], 1/12672],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 2]], 9/20480],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 2]], 3/32000],
[[[1, 4], [2, 3], [4, 2], [5, 1], [16, 1]], 1/5120],
[[[1, 4], [2, 3], [4, 2], [5, 2], [8, 1]], 11/204800],
[[[1, 4], [2, 3], [4, 2], [5, 2], [10, 1]], 89/128000],
[[[1, 4], [2, 3], [4, 2], [5, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 2], [6, 1], [11, 1]], 5/16896],
[[[1, 4], [2, 3], [4, 2], [6, 1], [22, 1]], 17/811008],
[[[1, 4], [2, 3], [4, 2], [7, 1], [14, 1]], 1315/1204224],
[[[1, 4], [2, 3], [4, 2], [8, 1], [16, 1]], 1/1024],
[[[1, 4], [2, 3], [4, 2], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 3], [4, 2], [10, 2], [12, 1]], 1/115200],
[[[1, 4], [2, 3], [4, 3], [5, 1], [7, 1]], 1/184320],
[[[1, 4], [2, 3], [4, 3], [5, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 3], [5, 2], [6, 1]], 31/921600],
[[[1, 4], [2, 3], [4, 3], [6, 2], [18, 1]], 1/995328],
[[[1, 4], [2, 3], [4, 3], [7, 1], [8, 1]], 9/28672],
[[[1, 4], [2, 3], [4, 3], [8, 1], [14, 1]], 1/3584],
[[[1, 4], [2, 3], [4, 3], [10, 1], [14, 1]], 1/1290240],
[[[1, 4], [2, 3], [4, 4], [5, 1], [8, 1]], 17/245760],
[[[1, 4], [2, 3], [4, 4], [5, 1], [10, 1]], 61/983040],
[[[1, 4], [2, 3], [4, 4], [6, 1], [7, 1]], 1/129024],
[[[1, 4], [2, 3], [4, 4], [6, 1], [14, 1]], 1/1548288],
[[[1, 4], [2, 3], [4, 4], [6, 1], [18, 1]], 1/663552],
[[[1, 4], [2, 3], [4, 4], [6, 2], [8, 1]], 1/2654208],
[[[1, 4], [2, 3], [4, 4], [8, 1], [10, 1]], 1/737280],
[[[1, 4], [2, 3], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 3], [4, 5], [5, 1], [6, 1]], 1/368640],
[[[1, 4], [2, 3], [4, 5], [6, 1], [8, 1]], 1/147456],
[[[1, 4], [2, 3], [5, 1], [6, 1], [11, 1]], 1/2640],
[[[1, 4], [2, 3], [5, 1], [6, 1], [22, 1]], 1/31680],
[[[1, 4], [2, 3], [5, 1], [7, 1], [14, 1]], 13/12544],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 4], [2, 3], [5, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 4], [2, 3], [5, 1], [10, 1], [16, 1]], 3/2560],
[[[1, 4], [2, 3], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 4], [2, 3], [5, 2], [8, 1], [10, 1]], 3/16000],
[[[1, 4], [2, 3], [6, 1], [8, 1], [11, 1]], 7/25344],
[[[1, 4], [2, 3], [6, 1], [8, 1], [22, 1]], 1/50688],
[[[1, 4], [2, 3], [6, 1], [10, 1], [11, 1]], 1/2640],
[[[1, 4], [2, 3], [6, 1], [10, 1], [22, 1]], 1/126720],
[[[1, 4], [2, 3], [6, 1], [10, 2], [18, 1]], 1/172800],
[[[1, 4], [2, 3], [6, 2], [7, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 3], [7, 1], [8, 1], [14, 1]], 13/43008],
[[[1, 4], [2, 3], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [11, 1]], 41/4055040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [22, 1]], 35/101376],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 4]], 1/331776],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 2]], 1/8192],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 2]], 1/9600],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 3]], 151/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 3], [7, 1]], 53/6193152],
[[[1, 4], [2, 5], [3, 1], [4, 3], [9, 1]], 53/2654208],
[[[1, 4], [2, 5], [3, 1], [4, 3], [14, 1]], 13/110592],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1]], 1/2211840],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 2]], 79/1327104],
[[[1, 4], [2, 5], [3, 1], [4, 4], [8, 1]], 103/884736],
[[[1, 4], [2, 5], [3, 1], [4, 4], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 1], [4, 4], [12, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 1]], 109/7077888],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 4]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 2]], 53/144000],
[[[1, 4], [2, 5], [3, 1], [5, 2], [8, 1]], 1/4608000],
[[[1, 4], [2, 5], [3, 1], [5, 2], [10, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [6, 1], [11, 1]], 1/25344],
[[[1, 4], [2, 5], [3, 1], [6, 1], [22, 1]], 203/456192],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 2]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [6, 2], [16, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [6, 3], [7, 1]], 5/48384],
[[[1, 4], [2, 5], [3, 1], [6, 3], [14, 1]], 5/108864],
[[[1, 4], [2, 5], [3, 1], [6, 3], [18, 1]], 1/5832],
[[[1, 4], [2, 5], [3, 1], [6, 4], [8, 1]], 1/1492992],
[[[1, 4], [2, 5], [3, 1], [6, 4], [10, 1]], 1/1399680],
[[[1, 4], [2, 5], [3, 1], [7, 1], [14, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 4]], 163/2239488],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 2]], 1/221184],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 3]], 2083/5971968],
[[[1, 4], [2, 5], [3, 2], [4, 2], [9, 1]], 17/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 2], [14, 1]], 1/96768],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 2]], 125/663552],
[[[1, 4], [2, 5], [3, 2], [4, 3], [8, 1]], 17/3538944],
[[[1, 4], [2, 5], [3, 2], [4, 3], [10, 1]], 1/184320],
[[[1, 4], [2, 5], [3, 2], [4, 3], [12, 1]], 1/331776],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 1]], 23/2654208],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 3]], 17/103680],
[[[1, 4], [2, 5], [3, 2], [5, 1], [9, 1]], 1/138240],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 1]], 1/345600],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 2]], 13/86400],
[[[1, 4], [2, 5], [3, 2], [6, 2], [7, 1]], 29/145152],
[[[1, 4], [2, 5], [3, 2], [6, 2], [9, 1]], 1/62208],
[[[1, 4], [2, 5], [3, 2], [6, 2], [14, 1]], 13/24192],
[[[1, 4], [2, 5], [3, 2], [6, 2], [18, 1]], 5/62208],
[[[1, 4], [2, 5], [3, 2], [6, 3], [8, 1]], 7/55296],
[[[1, 4], [2, 5], [3, 2], [6, 3], [10, 1]], 181/933120],
[[[1, 4], [2, 5], [3, 2], [7, 1], [8, 1]], 1/3870720],
[[[1, 4], [2, 5], [3, 2], [8, 1], [9, 1]], 7/552960],
[[[1, 4], [2, 5], [3, 2], [9, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 5], [3, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 3]], 1/4608],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 2]], 11/221184],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 1]], 1/3981312],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 2]], 1/15552],
[[[1, 4], [2, 5], [3, 3], [5, 1], [8, 1]], 1/24883200],
[[[1, 4], [2, 5], [3, 3], [6, 1], [9, 1]], 1/93312],
[[[1, 4], [2, 5], [3, 3], [6, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 3], [6, 2], [8, 1]], 11/165888],
[[[1, 4], [2, 5], [3, 3], [6, 2], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 4]], 1/1244160],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 2]], 7/61440],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 2]], 93/128000],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 4], [2, 5], [4, 1], [5, 2], [8, 1]], 1/102400],
[[[1, 4], [2, 5], [4, 1], [5, 2], [10, 1]], 1/3072],
[[[1, 4], [2, 5], [4, 1], [5, 2], [12, 1]], 1/230400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [11, 1]], 37/608256],
[[[1, 4], [2, 5], [4, 1], [6, 1], [22, 1]], 43/202752],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 2]], 7/442368],
[[[1, 4], [2, 5], [4, 1], [6, 2], [16, 1]], 1/18432],
[[[1, 4], [2, 5], [4, 1], [6, 3], [18, 1]], 7/124416],
[[[1, 4], [2, 5], [4, 1], [6, 4], [12, 1]], 1/2239488],
[[[1, 4], [2, 5], [4, 1], [7, 1], [14, 1]], 769/1032192],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 2]], 7/61440],
[[[1, 4], [2, 5], [4, 1], [8, 1], [16, 1]], 1/3072],
[[[1, 4], [2, 5], [4, 1], [8, 2], [10, 1]], 11/122880],
[[[1, 4], [2, 5], [4, 1], [10, 1], [16, 1]], 1/5120],
[[[1, 4], [2, 5], [4, 1], [10, 2], [12, 1]], 1/28800],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 3]], 1/51840],
[[[1, 4], [2, 5], [4, 2], [5, 1], [7, 1]], 17/1720320],
[[[1, 4], [2, 5], [4, 2], [5, 1], [14, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 1]], 1/153600],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 2]], 31/73728],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 2]], 79/3686400],
[[[1, 4], [2, 5], [4, 2], [6, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 5], [4, 2], [6, 2], [7, 1]], 1/10752],
[[[1, 4], [2, 5], [4, 2], [6, 2], [14, 1]], 1/16384],
[[[1, 4], [2, 5], [4, 2], [6, 2], [18, 1]], 83/442368],
[[[1, 4], [2, 5], [4, 2], [6, 3], [8, 1]], 7/331776],
[[[1, 4], [2, 5], [4, 2], [6, 3], [10, 1]], 17/19906560],
[[[1, 4], [2, 5], [4, 2], [6, 3], [12, 1]], 1/373248],
[[[1, 4], [2, 5], [4, 2], [7, 1], [8, 1]], 1/1792],
[[[1, 4], [2, 5], [4, 2], [7, 1], [10, 1]], 1/3584],
[[[1, 4], [2, 5], [4, 2], [7, 1], [12, 1]], 1/32256],
[[[1, 4], [2, 5], [4, 2], [8, 1], [14, 1]], 53/57344],
[[[1, 4], [2, 5], [4, 2], [10, 1], [14, 1]], 221/1720320],
[[[1, 4], [2, 5], [4, 2], [12, 1], [14, 1]], 19/96768],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 2]], 1/46080],
[[[1, 4], [2, 5], [4, 3], [5, 1], [8, 1]], 59/327680],
[[[1, 4], [2, 5], [4, 3], [5, 1], [10, 1]], 8171/22118400],
[[[1, 4], [2, 5], [4, 3], [5, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 5], [4, 3], [6, 1], [7, 1]], 1/10752],
[[[1, 4], [2, 5], [4, 3], [6, 1], [14, 1]], 103/1548288],
[[[1, 4], [2, 5], [4, 3], [6, 1], [18, 1]], 397/1990656],
[[[1, 4], [2, 5], [4, 3], [6, 2], [8, 1]], 35/294912],
[[[1, 4], [2, 5], [4, 3], [6, 2], [10, 1]], 19/3317760],
[[[1, 4], [2, 5], [4, 3], [6, 2], [12, 1]], 1/55296],
[[[1, 4], [2, 5], [4, 3], [8, 1], [10, 1]], 53/81920],
[[[1, 4], [2, 5], [4, 3], [8, 1], [12, 1]], 17/36864],
[[[1, 4], [2, 5], [4, 3], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 4], [6, 1], [8, 1]], 209/1327104],
[[[1, 4], [2, 5], [4, 4], [6, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 5], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 2]], 17/72000],
[[[1, 4], [2, 5], [5, 1], [6, 2], [7, 1]], 1/80640],
[[[1, 4], [2, 5], [5, 1], [6, 2], [14, 1]], 1/17280],
[[[1, 4], [2, 5], [5, 1], [6, 2], [18, 1]], 13/51840],
[[[1, 4], [2, 5], [5, 1], [6, 3], [10, 1]], 1/777600],
[[[1, 4], [2, 5], [5, 1], [7, 1], [8, 1]], 1/102400],
[[[1, 4], [2, 5], [5, 1], [7, 1], [10, 1]], 11/19200],
[[[1, 4], [2, 5], [5, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 5], [5, 1], [10, 1], [14, 1]], 13/16800],
[[[1, 4], [2, 5], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 4], [2, 5], [5, 2], [6, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 5], [6, 1], [7, 1], [14, 1]], 191/677376],
[[[1, 4], [2, 5], [6, 1], [7, 1], [18, 1]], 1/4032],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 4], [2, 5], [6, 1], [10, 1], [16, 1]], 1/23040],
[[[1, 4], [2, 5], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 4], [2, 5], [6, 2], [8, 1], [14, 1]], 1/193536],
[[[1, 4], [2, 5], [6, 2], [8, 1], [18, 1]], 1/18432],
[[[1, 4], [2, 5], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 4], [2, 5], [6, 2], [10, 1], [18, 1]], 13/165888],
[[[1, 4], [2, 5], [6, 3], [8, 1], [10, 1]], 1/1244160],
[[[1, 4], [2, 5], [8, 1], [10, 1], [14, 1]], 3/71680],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2]], 1/48384000],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 4]], 251/1990656],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 2]], 31/884736],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 2]], 71/921600],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 3]], 2891/7962624],
[[[1, 4], [2, 7], [3, 1], [4, 2], [7, 1]], 1/5160960],
[[[1, 4], [2, 7], [3, 1], [4, 2], [9, 1]], 1/2211840],
[[[1, 4], [2, 7], [3, 1], [4, 2], [14, 1]], 11/129024],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 2]], 8981/39813120],
[[[1, 4], [2, 7], [3, 1], [4, 3], [8, 1]], 25/589824],
[[[1, 4], [2, 7], [3, 1], [4, 3], [10, 1]], 59/1658880],
[[[1, 4], [2, 7], [3, 1], [4, 3], [12, 1]], 1/110592],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 1]], 1871/42467328],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 3]], 49/622080],
[[[1, 4], [2, 7], [3, 1], [5, 1], [7, 1]], 1/19353600],
[[[1, 4], [2, 7], [3, 1], [5, 1], [9, 1]], 1/16588800],
[[[1, 4], [2, 7], [3, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 2]], 1/147456],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 2]], 443/2073600],
[[[1, 4], [2, 7], [3, 1], [6, 1], [16, 1]], 1/36864],
[[[1, 4], [2, 7], [3, 1], [6, 2], [7, 1]], 23/276480],
[[[1, 4], [2, 7], [3, 1], [6, 2], [14, 1]], 61/145152],
[[[1, 4], [2, 7], [3, 1], [6, 2], [18, 1]], 1417/3732480],
[[[1, 4], [2, 7], [3, 1], [6, 3], [8, 1]], 365/5971968],
[[[1, 4], [2, 7], [3, 1], [6, 3], [10, 1]], 1561/11197440],
[[[1, 4], [2, 7], [3, 1], [7, 1], [8, 1]], 1/5160960],
[[[1, 4], [2, 7], [3, 1], [8, 1], [9, 1]], 1/2211840],
[[[1, 4], [2, 7], [3, 1], [8, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 7], [3, 1], [10, 1], [14, 1]], 7/138240],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 3]], 18695/35831808],
[[[1, 4], [2, 7], [3, 2], [4, 1], [7, 1]], 1/21676032],
[[[1, 4], [2, 7], [3, 2], [4, 1], [9, 1]], 19/46448640],
[[[1, 4], [2, 7], [3, 2], [4, 1], [14, 1]], 1/60480],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 2]], 5483/31850496],
[[[1, 4], [2, 7], [3, 2], [4, 2], [8, 1]], 53/10616832],
[[[1, 4], [2, 7], [3, 2], [4, 2], [10, 1]], 7/2764800],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 1]], 11/884736],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 2]], 397/8294400],
[[[1, 4], [2, 7], [3, 2], [5, 1], [10, 1]], 121/8294400],
[[[1, 4], [2, 7], [3, 2], [6, 1], [7, 1]], 1/11612160],
[[[1, 4], [2, 7], [3, 2], [6, 1], [9, 1]], 1/2488320],
[[[1, 4], [2, 7], [3, 2], [6, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 7], [3, 2], [6, 1], [18, 1]], 13/622080],
[[[1, 4], [2, 7], [3, 2], [6, 2], [8, 1]], 139/2211840],
[[[1, 4], [2, 7], [3, 2], [6, 2], [10, 1]], 937/2488320],
[[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1]], 1/2090188800],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 2]], 127/6635520],
[[[1, 4], [2, 7], [3, 3], [4, 1], [8, 1]], 1/39813120],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 1]], 1/24883200],
[[[1, 4], [2, 7], [3, 3], [6, 1], [8, 1]], 1/6635520],
[[[1, 4], [2, 7], [3, 3], [6, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 3]], 7/155520],
[[[1, 4], [2, 7], [4, 1], [5, 1], [7, 1]], 43/180633600],
[[[1, 4], [2, 7], [4, 1], [5, 1], [14, 1]], 23/268800],
[[[1, 4], [2, 7], [4, 1], [5, 2], [6, 1]], 7/18432000],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 2]], 49/442368],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 2]], 17/115200],
[[[1, 4], [2, 7], [4, 1], [6, 1], [16, 1]], 1/18432],
[[[1, 4], [2, 7], [4, 1], [6, 2], [7, 1]], 1/13824],
[[[1, 4], [2, 7], [4, 1], [6, 2], [14, 1]], 17/86016],
[[[1, 4], [2, 7], [4, 1], [6, 2], [18, 1]], 1433/3981312],
[[[1, 4], [2, 7], [4, 1], [6, 3], [8, 1]], 193/3981312],
[[[1, 4], [2, 7], [4, 1], [6, 3], [10, 1]], 19/552960],
[[[1, 4], [2, 7], [4, 1], [6, 3], [12, 1]], 5/559872],
[[[1, 4], [2, 7], [4, 1], [7, 1], [8, 1]], 27/573440],
[[[1, 4], [2, 7], [4, 1], [7, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 7], [4, 1], [8, 1], [14, 1]], 95/258048],
[[[1, 4], [2, 7], [4, 1], [10, 1], [14, 1]], 1969/5160960],
[[[1, 4], [2, 7], [4, 1], [12, 1], [14, 1]], 23/483840],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 2]], 5/110592],
[[[1, 4], [2, 7], [4, 2], [5, 1], [8, 1]], 1037/14745600],
[[[1, 4], [2, 7], [4, 2], [5, 1], [10, 1]], 13259/49152000],
[[[1, 4], [2, 7], [4, 2], [6, 1], [7, 1]], 11/172032],
[[[1, 4], [2, 7], [4, 2], [6, 1], [14, 1]], 1639/4128768],
[[[1, 4], [2, 7], [4, 2], [6, 1], [18, 1]], 311/983040],
[[[1, 4], [2, 7], [4, 2], [6, 2], [8, 1]], 485/1179648],
[[[1, 4], [2, 7], [4, 2], [6, 2], [10, 1]], 2363/13271040],
[[[1, 4], [2, 7], [4, 2], [6, 2], [12, 1]], 95/1990656],
[[[1, 4], [2, 7], [4, 2], [8, 1], [10, 1]], 1877/2949120],
[[[1, 4], [2, 7], [4, 2], [8, 1], [12, 1]], 241/3317760],
[[[1, 4], [2, 7], [4, 2], [10, 1], [12, 1]], 227/2764800],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 1]], 41/1474560],
[[[1, 4], [2, 7], [4, 3], [6, 1], [8, 1]], 175/294912],
[[[1, 4], [2, 7], [4, 3], [6, 1], [10, 1]], 3559/13271040],
[[[1, 4], [2, 7], [4, 3], [6, 1], [12, 1]], 7/110592],
[[[1, 4], [2, 7], [5, 1], [6, 1], [7, 1]], 1/3225600],
[[[1, 4], [2, 7], [5, 1], [6, 1], [14, 1]], 13/120960],
[[[1, 4], [2, 7], [5, 1], [6, 1], [18, 1]], 19/259200],
[[[1, 4], [2, 7], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 4], [2, 7], [5, 1], [6, 2], [10, 1]], 671/4147200],
[[[1, 4], [2, 7], [5, 1], [8, 1], [10, 1]], 23/294912],
[[[1, 4], [2, 7], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 7], [6, 1], [8, 1], [14, 1]], 43/774144],
[[[1, 4], [2, 7], [6, 1], [8, 1], [18, 1]], 1/20480],
[[[1, 4], [2, 7], [6, 1], [10, 1], [14, 1]], 593/3870720],
[[[1, 4], [2, 7], [6, 1], [10, 1], [18, 1]], 8417/66355200],
[[[1, 4], [2, 7], [6, 2], [8, 1], [10, 1]], 7/331776],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 3]], 15299/79626240],
[[[1, 4], [2, 9], [3, 1], [4, 1], [7, 1]], 1/346816512],
[[[1, 4], [2, 9], [3, 1], [4, 1], [9, 1]], 1/148635648],
[[[1, 4], [2, 9], [3, 1], [4, 1], [14, 1]], 1243/108380160],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1]], 113/309657600],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 2]], 4021/26542080],
[[[1, 4], [2, 9], [3, 1], [4, 2], [8, 1]], 967/123863040],
[[[1, 4], [2, 9], [3, 1], [4, 2], [10, 1]], 121/11059200],
[[[1, 4], [2, 9], [3, 1], [4, 2], [12, 1]], 1/1658880],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 1]], 112043/4459069440],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 2]], 23/2073600],
[[[1, 4], [2, 9], [3, 1], [5, 1], [10, 1]], 4267/1032192000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [7, 1]], 1793/867041280],
[[[1, 4], [2, 9], [3, 1], [6, 1], [14, 1]], 28633/325140480],
[[[1, 4], [2, 9], [3, 1], [6, 1], [18, 1]], 167/29859840],
[[[1, 4], [2, 9], [3, 1], [6, 2], [8, 1]], 751/39813120],
[[[1, 4], [2, 9], [3, 1], [6, 2], [10, 1]], 9553/59719680],
[[[1, 4], [2, 9], [3, 1], [8, 1], [10, 1]], 19/6451200],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 2]], 6493/104509440],
[[[1, 4], [2, 9], [3, 2], [4, 1], [8, 1]], 3137/2972712960],
[[[1, 4], [2, 9], [3, 2], [4, 1], [10, 1]], 19/9676800],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 1]], 5351/1114767360],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 1]], 1793/1857945600],
[[[1, 4], [2, 9], [3, 2], [6, 1], [8, 1]], 89/30965760],
[[[1, 4], [2, 9], [3, 2], [6, 1], [10, 1]], 197/24883200],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 1]], 19/37158912],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 2]], 23/1658880],
[[[1, 4], [2, 9], [4, 1], [5, 1], [8, 1]], 239/55050240],
[[[1, 4], [2, 9], [4, 1], [5, 1], [10, 1]], 127903/3096576000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [7, 1]], 1/138240],
[[[1, 4], [2, 9], [4, 1], [6, 1], [14, 1]], 43/294912],
[[[1, 4], [2, 9], [4, 1], [6, 1], [18, 1]], 2069/39813120],
[[[1, 4], [2, 9], [4, 1], [6, 2], [8, 1]], 4283/53084160],
[[[1, 4], [2, 9], [4, 1], [6, 2], [10, 1]], 23/163840],
[[[1, 4], [2, 9], [4, 1], [6, 2], [12, 1]], 91/14929920],
[[[1, 4], [2, 9], [4, 1], [8, 1], [10, 1]], 5/65536],
[[[1, 4], [2, 9], [4, 1], [10, 1], [12, 1]], 169/29030400],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 1]], 19/1935360],
[[[1, 4], [2, 9], [4, 2], [6, 1], [8, 1]], 1477/8847360],
[[[1, 4], [2, 9], [4, 2], [6, 1], [10, 1]], 51689/265420800],
[[[1, 4], [2, 9], [4, 2], [6, 1], [12, 1]], 989/69672960],
[[[1, 4], [2, 9], [5, 1], [6, 1], [8, 1]], 1/1382400],
[[[1, 4], [2, 9], [5, 1], [6, 1], [10, 1]], 3377/82944000],
[[[1, 4], [2, 9], [6, 1], [8, 1], [10, 1]], 1009/66355200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1]], 1/38707200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 2]], 1507/74317824],
[[[1, 4], [2, 11], [3, 1], [4, 1], [8, 1]], 13/49766400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [10, 1]], 137/174182400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [12, 1]], 1/139345920],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 1]], 771/146800640],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 1]], 1/4644864],
[[[1, 4], [2, 11], [3, 1], [6, 1], [8, 1]], 239/418037760],
[[[1, 4], [2, 11], [3, 1], [6, 1], [10, 1]], 32267/3583180800],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 1]], 161/358318080],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 1]], 101/139345920],
[[[1, 4], [2, 11], [4, 1], [6, 1], [8, 1]], 737/106168320],
[[[1, 4], [2, 11], [4, 1], [6, 1], [10, 1]], 5387/206438400],
[[[1, 4], [2, 11], [4, 1], [6, 1], [12, 1]], 487/1254113280],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 1]], 581221/1961990553600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 2]], 11/37632],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 3]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 1], [13, 1]], 1/1664],
[[[1, 5], [2, 2], [3, 1], [4, 1], [14, 2]], 1/903168],
[[[1, 5], [2, 2], [3, 1], [4, 1], [26, 1]], 1/119808],
[[[1, 5], [2, 2], [3, 1], [4, 2], [11, 1]], 107/405504],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2]], 1/28800],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 2]], 7/73728],
[[[1, 5], [2, 2], [3, 1], [4, 4], [7, 1]], 53/2064384],
[[[1, 5], [2, 2], [3, 1], [4, 4], [9, 1]], 53/884736],
[[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1]], 1/1474560],
[[[1, 5], [2, 2], [3, 1], [4, 5], [8, 1]], 1/589824],
[[[1, 5], [2, 2], [3, 1], [5, 1], [11, 1]], 1/7040],
[[[1, 5], [2, 2], [3, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [9, 1]], 7/28800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [14, 1]], 1/8400],
[[[1, 5], [2, 2], [3, 1], [5, 3], [6, 1]], 1/18000],
[[[1, 5], [2, 2], [3, 1], [6, 1], [7, 2]], 31/56448],
[[[1, 5], [2, 2], [3, 1], [6, 1], [13, 1]], 7/7488],
[[[1, 5], [2, 2], [3, 1], [6, 2], [11, 1]], 5/114048],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 5], [2, 2], [3, 1], [7, 1], [16, 1]], 1/2688],
[[[1, 5], [2, 2], [3, 1], [8, 1], [11, 1]], 5/16896],
[[[1, 5], [2, 2], [3, 1], [8, 2], [9, 1]], 1/18432],
[[[1, 5], [2, 2], [3, 1], [9, 1], [16, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 1], [10, 1], [11, 1]], 1/6336],
[[[1, 5], [2, 2], [3, 2], [4, 1], [11, 1]], 1/3168],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2]], 1/76800],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 2]], 53/147456],
[[[1, 5], [2, 2], [3, 2], [4, 3], [7, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [4, 3], [9, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1]], 1/184320],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 2]], 1/1769472],
[[[1, 5], [2, 2], [3, 2], [4, 4], [8, 1]], 13/884736],
[[[1, 5], [2, 2], [3, 2], [4, 4], [12, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [4, 5], [6, 1]], 1/884736],
[[[1, 5], [2, 2], [3, 2], [5, 1], [16, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 2]], 1/64800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [10, 1]], 1/18000],
[[[1, 5], [2, 2], [3, 2], [6, 1], [11, 1]], 19/19008],
[[[1, 5], [2, 2], [3, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [7, 1], [9, 1]], 5/6048],
[[[1, 5], [2, 2], [3, 2], [7, 1], [14, 1]], 37/112896],
[[[1, 5], [2, 2], [3, 2], [9, 1], [14, 1]], 1/3024],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 2]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [4, 1], [16, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 3], [4, 2], [7, 1]], 5/193536],
[[[1, 5], [2, 2], [3, 3], [4, 2], [9, 1]], 5/27648],
[[[1, 5], [2, 2], [3, 3], [4, 2], [14, 1]], 1/36288],
[[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1]], 1/2488320],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 2]], 1/497664],
[[[1, 5], [2, 2], [3, 3], [4, 3], [8, 1]], 7/331776],
[[[1, 5], [2, 2], [3, 3], [4, 4], [6, 1]], 25/23887872],
[[[1, 5], [2, 2], [3, 3], [5, 1], [7, 1]], 1/90720],
[[[1, 5], [2, 2], [3, 3], [5, 1], [9, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 3], [5, 1], [14, 1]], 1/45360],
[[[1, 5], [2, 2], [3, 3], [5, 2], [6, 1]], 1/97200],
[[[1, 5], [2, 2], [3, 3], [6, 1], [8, 2]], 1/55296],
[[[1, 5], [2, 2], [3, 3], [6, 1], [16, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 3], [6, 2], [7, 1]], 19/54432],
[[[1, 5], [2, 2], [3, 3], [6, 2], [9, 1]], 5/11664],
[[[1, 5], [2, 2], [3, 3], [7, 1], [10, 1]], 1/15120],
[[[1, 5], [2, 2], [3, 3], [8, 1], [9, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 3], [9, 1], [10, 1]], 1/6480],
[[[1, 5], [2, 2], [3, 4], [4, 1], [9, 1]], 1/31104],
[[[1, 5], [2, 2], [3, 4], [4, 1], [14, 1]], 1/217728],
[[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1]], 1/1244160],
[[[1, 5], [2, 2], [3, 4], [4, 2], [8, 1]], 25/1990656],
[[[1, 5], [2, 2], [3, 4], [4, 3], [6, 1]], 1/8957952],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 2]], 11/69984],
[[[1, 5], [2, 2], [3, 4], [5, 1], [10, 1]], 1/97200],
[[[1, 5], [2, 2], [3, 4], [6, 1], [9, 1]], 1/1944],
[[[1, 5], [2, 2], [3, 4], [8, 1], [10, 1]], 1/311040],
[[[1, 5], [2, 2], [4, 1], [5, 1], [11, 1]], 3/3520],
[[[1, 5], [2, 2], [4, 1], [5, 2], [7, 1]], 1/2800],
[[[1, 5], [2, 2], [4, 1], [5, 2], [14, 1]], 1/11200],
[[[1, 5], [2, 2], [4, 1], [6, 1], [7, 2]], 1/75264],
[[[1, 5], [2, 2], [4, 1], [6, 1], [13, 1]], 1/9984],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 2]], 1/14336],
[[[1, 5], [2, 2], [4, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 5], [2, 2], [4, 1], [8, 1], [11, 1]], 59/33792],
[[[1, 5], [2, 2], [4, 1], [10, 1], [11, 1]], 1/4224],
[[[1, 5], [2, 2], [4, 1], [11, 1], [12, 1]], 5/12672],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 2]], 37/40960],
[[[1, 5], [2, 2], [4, 2], [5, 2], [8, 1]], 67/102400],
[[[1, 5], [2, 2], [4, 2], [5, 2], [10, 1]], 11/64000],
[[[1, 5], [2, 2], [4, 2], [5, 2], [12, 1]], 1/19200],
[[[1, 5], [2, 2], [4, 2], [6, 1], [11, 1]], 5/50688],
[[[1, 5], [2, 2], [4, 2], [7, 1], [14, 1]], 403/2408448],
[[[1, 5], [2, 2], [4, 3], [5, 1], [7, 1]], 13/143360],
[[[1, 5], [2, 2], [4, 3], [5, 2], [6, 1]], 1/460800],
[[[1, 5], [2, 2], [4, 3], [7, 1], [8, 1]], 1/86016],
[[[1, 5], [2, 2], [4, 3], [7, 1], [12, 1]], 1/5376],
[[[1, 5], [2, 2], [4, 4], [5, 1], [8, 1]], 5/49152],
[[[1, 5], [2, 2], [4, 4], [5, 1], [10, 1]], 1/294912],
[[[1, 5], [2, 2], [4, 4], [5, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 4], [6, 1], [7, 1]], 1/387072],
[[[1, 5], [2, 2], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 5], [2, 2], [5, 1], [6, 1], [11, 1]], 1/7920],
[[[1, 5], [2, 2], [5, 1], [7, 1], [14, 1]], 13/23520],
[[[1, 5], [2, 2], [5, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 5], [2, 2], [5, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 5], [2, 2], [5, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 2], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 5], [2, 2], [5, 2], [8, 1], [10, 1]], 1/16000],
[[[1, 5], [2, 2], [6, 1], [8, 1], [11, 1]], 5/25344],
[[[1, 5], [2, 2], [6, 1], [8, 1], [22, 1]], 1/1013760],
[[[1, 5], [2, 2], [6, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 5], [2, 2], [7, 1], [8, 1], [14, 1]], 5/86016],
[[[1, 5], [2, 2], [7, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [11, 1]], 43/202752],
[[[1, 5], [2, 4], [3, 1], [4, 1], [22, 1]], 37/608256],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2]], 79/3686400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 2]], 31/73728],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 2]], 1/153600],
[[[1, 5], [2, 4], [3, 1], [4, 2], [16, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 3]], 1/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 3], [7, 1]], 103/1548288],
[[[1, 5], [2, 4], [3, 1], [4, 3], [9, 1]], 397/1990656],
[[[1, 5], [2, 4], [3, 1], [4, 3], [14, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1]], 1/138240],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 2]], 23/2654208],
[[[1, 5], [2, 4], [3, 1], [4, 4], [8, 1]], 209/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 4], [12, 1]], 1/55296],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 1]], 109/7077888],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 2]], 1/1920],
[[[1, 5], [2, 4], [3, 1], [5, 1], [16, 1]], 1/23040],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 2]], 13/86400],
[[[1, 5], [2, 4], [3, 1], [5, 2], [8, 1]], 1/230400],
[[[1, 5], [2, 4], [3, 1], [5, 2], [10, 1]], 17/72000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [11, 1]], 203/456192],
[[[1, 5], [2, 4], [3, 1], [6, 1], [22, 1]], 1/25344],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 2]], 1/345600],
[[[1, 5], [2, 4], [3, 1], [6, 3], [7, 1]], 1/24192],
[[[1, 5], [2, 4], [3, 1], [6, 3], [18, 1]], 1/93312],
[[[1, 5], [2, 4], [3, 1], [7, 1], [9, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 1], [7, 1], [14, 1]], 191/677376],
[[[1, 5], [2, 4], [3, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 5], [2, 4], [3, 1], [9, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 2]], 7/442368],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 2]], 1/115200],
[[[1, 5], [2, 4], [3, 2], [4, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 3]], 11/221184],
[[[1, 5], [2, 4], [3, 2], [4, 2], [7, 1]], 1/16384],
[[[1, 5], [2, 4], [3, 2], [4, 2], [9, 1]], 83/442368],
[[[1, 5], [2, 4], [3, 2], [4, 2], [14, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1]], 19/3317760],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 2]], 125/663552],
[[[1, 5], [2, 4], [3, 2], [4, 3], [8, 1]], 35/294912],
[[[1, 5], [2, 4], [3, 2], [4, 3], [10, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [4, 3], [12, 1]], 1/55296],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 1]], 79/1327104],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 3]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [5, 1], [7, 1]], 1/483840],
[[[1, 5], [2, 4], [3, 2], [5, 1], [9, 1]], 13/165888],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 2], [6, 1], [16, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [6, 2], [7, 1]], 13/24192],
[[[1, 5], [2, 4], [3, 2], [6, 2], [9, 1]], 5/62208],
[[[1, 5], [2, 4], [3, 2], [6, 2], [14, 1]], 29/145152],
[[[1, 5], [2, 4], [3, 2], [6, 2], [18, 1]], 1/62208],
[[[1, 5], [2, 4], [3, 2], [6, 3], [8, 1]], 11/165888],
[[[1, 5], [2, 4], [3, 2], [6, 3], [10, 1]], 1/15552],
[[[1, 5], [2, 4], [3, 2], [7, 1], [8, 1]], 1/193536],
[[[1, 5], [2, 4], [3, 2], [7, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [8, 1], [9, 1]], 1/18432],
[[[1, 5], [2, 4], [3, 2], [9, 1], [10, 1]], 13/51840],
[[[1, 5], [2, 4], [3, 2], [10, 1], [14, 1]], 1/80640],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 3]], 1/4608],
[[[1, 5], [2, 4], [3, 3], [4, 1], [9, 1]], 7/124416],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1]], 17/19906560],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 2]], 2083/5971968],
[[[1, 5], [2, 4], [3, 3], [4, 2], [8, 1]], 7/331776],
[[[1, 5], [2, 4], [3, 3], [4, 2], [10, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 3], [4, 2], [12, 1]], 1/373248],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 1]], 151/3981312],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 2]], 181/933120],
[[[1, 5], [2, 4], [3, 3], [5, 1], [8, 1]], 1/1244160],
[[[1, 5], [2, 4], [3, 3], [5, 1], [10, 1]], 1/777600],
[[[1, 5], [2, 4], [3, 3], [6, 1], [7, 1]], 5/108864],
[[[1, 5], [2, 4], [3, 3], [6, 1], [9, 1]], 1/5832],
[[[1, 5], [2, 4], [3, 3], [6, 1], [14, 1]], 5/48384],
[[[1, 5], [2, 4], [3, 3], [6, 2], [8, 1]], 7/55296],
[[[1, 5], [2, 4], [3, 3], [6, 2], [10, 1]], 17/103680],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 2]], 163/2239488],
[[[1, 5], [2, 4], [3, 4], [4, 1], [10, 1]], 1/1244160],
[[[1, 5], [2, 4], [3, 4], [4, 1], [12, 1]], 1/2239488],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 1]], 1/331776],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 1]], 1/1399680],
[[[1, 5], [2, 4], [3, 4], [6, 1], [8, 1]], 1/1492992],
[[[1, 5], [2, 4], [3, 4], [6, 1], [10, 1]], 1/25920],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 2]], 11/122880],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 2]], 1/3072],
[[[1, 5], [2, 4], [4, 1], [5, 1], [16, 1]], 1/5120],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 2]], 1/57600],
[[[1, 5], [2, 4], [4, 1], [5, 2], [8, 1]], 7/61440],
[[[1, 5], [2, 4], [4, 1], [5, 2], [10, 1]], 93/128000],
[[[1, 5], [2, 4], [4, 1], [5, 2], [12, 1]], 1/28800],
[[[1, 5], [2, 4], [4, 1], [6, 1], [11, 1]], 35/101376],
[[[1, 5], [2, 4], [4, 1], [6, 1], [22, 1]], 41/4055040],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 2]], 1/221184],
[[[1, 5], [2, 4], [4, 1], [7, 1], [14, 1]], 769/1032192],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 2]], 1/102400],
[[[1, 5], [2, 4], [4, 1], [8, 1], [16, 1]], 1/3072],
[[[1, 5], [2, 4], [4, 1], [8, 2], [10, 1]], 7/61440],
[[[1, 5], [2, 4], [4, 1], [10, 2], [12, 1]], 1/230400],
[[[1, 5], [2, 4], [4, 2], [5, 1], [7, 1]], 221/1720320],
[[[1, 5], [2, 4], [4, 2], [5, 1], [14, 1]], 1/3584],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 1]], 1/9600],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 2]], 1/8192],
[[[1, 5], [2, 4], [4, 2], [6, 2], [7, 1]], 1/96768],
[[[1, 5], [2, 4], [4, 2], [6, 2], [18, 1]], 17/1327104],
[[[1, 5], [2, 4], [4, 2], [7, 1], [8, 1]], 53/57344],
[[[1, 5], [2, 4], [4, 2], [7, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [4, 2], [7, 1], [12, 1]], 19/96768],
[[[1, 5], [2, 4], [4, 2], [8, 1], [14, 1]], 1/1792],
[[[1, 5], [2, 4], [4, 2], [10, 1], [14, 1]], 17/1720320],
[[[1, 5], [2, 4], [4, 2], [12, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 2]], 1/184320],
[[[1, 5], [2, 4], [4, 3], [5, 1], [8, 1]], 53/81920],
[[[1, 5], [2, 4], [4, 3], [5, 1], [10, 1]], 8171/22118400],
[[[1, 5], [2, 4], [4, 3], [5, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 3], [6, 1], [7, 1]], 13/110592],
[[[1, 5], [2, 4], [4, 3], [6, 1], [14, 1]], 53/6193152],
[[[1, 5], [2, 4], [4, 3], [6, 1], [18, 1]], 53/2654208],
[[[1, 5], [2, 4], [4, 3], [6, 2], [8, 1]], 17/3538944],
[[[1, 5], [2, 4], [4, 3], [6, 2], [12, 1]], 1/331776],
[[[1, 5], [2, 4], [4, 3], [8, 1], [10, 1]], 59/327680],
[[[1, 5], [2, 4], [4, 3], [8, 1], [12, 1]], 17/36864],
[[[1, 5], [2, 4], [4, 3], [10, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 4], [6, 1], [8, 1]], 103/884736],
[[[1, 5], [2, 4], [4, 4], [6, 1], [10, 1]], 1/2211840],
[[[1, 5], [2, 4], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 2]], 1/4608],
[[[1, 5], [2, 4], [5, 1], [6, 2], [7, 1]], 1/26880],
[[[1, 5], [2, 4], [5, 1], [6, 2], [18, 1]], 1/51840],
[[[1, 5], [2, 4], [5, 1], [7, 1], [8, 1]], 3/71680],
[[[1, 5], [2, 4], [5, 1], [7, 1], [10, 1]], 13/16800],
[[[1, 5], [2, 4], [5, 1], [10, 1], [14, 1]], 11/19200],
[[[1, 5], [2, 4], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 4], [5, 2], [6, 1], [10, 1]], 53/144000],
[[[1, 5], [2, 4], [6, 1], [7, 1], [14, 1]], 1/12288],
[[[1, 5], [2, 4], [6, 1], [8, 1], [10, 2]], 1/4608000],
[[[1, 5], [2, 4], [6, 2], [8, 1], [14, 1]], 1/3870720],
[[[1, 5], [2, 4], [6, 2], [8, 1], [18, 1]], 7/552960],
[[[1, 5], [2, 4], [6, 2], [10, 1], [18, 1]], 1/138240],
[[[1, 5], [2, 4], [6, 3], [8, 1], [10, 1]], 1/24883200],
[[[1, 5], [2, 4], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 4], [8, 1], [10, 1], [14, 1]], 1/102400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2]], 13/4608000],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 4]], 61/3981312],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 2]], 301/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 2]], 923/11059200],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 3]], 2327/15925248],
[[[1, 5], [2, 6], [3, 1], [4, 2], [7, 1]], 167/20643840],
[[[1, 5], [2, 6], [3, 1], [4, 2], [9, 1]], 167/8847360],
[[[1, 5], [2, 6], [3, 1], [4, 2], [14, 1]], 5/32256],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1]], 443/26542080],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 2]], 37/124416],
[[[1, 5], [2, 6], [3, 1], [4, 3], [8, 1]], 101/393216],
[[[1, 5], [2, 6], [3, 1], [4, 3], [10, 1]], 547/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 3], [12, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 1]], 3949/28311552],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 3]], 11/103680],
[[[1, 5], [2, 6], [3, 1], [5, 1], [7, 1]], 61/19353600],
[[[1, 5], [2, 6], [3, 1], [5, 1], [9, 1]], 451/99532800],
[[[1, 5], [2, 6], [3, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 1]], 41/6912000],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 2]], 1/589824],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 2]], 1/10800],
[[[1, 5], [2, 6], [3, 1], [6, 1], [16, 1]], 5/73728],
[[[1, 5], [2, 6], [3, 1], [6, 2], [7, 1]], 1/7168],
[[[1, 5], [2, 6], [3, 1], [6, 2], [9, 1]], 1/82944],
[[[1, 5], [2, 6], [3, 1], [6, 2], [14, 1]], 109/774144],
[[[1, 5], [2, 6], [3, 1], [6, 2], [18, 1]], 137/746496],
[[[1, 5], [2, 6], [3, 1], [6, 3], [8, 1]], 31/1990656],
[[[1, 5], [2, 6], [3, 1], [6, 3], [10, 1]], 407/14929920],
[[[1, 5], [2, 6], [3, 1], [7, 1], [8, 1]], 11/2580480],
[[[1, 5], [2, 6], [3, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 5], [2, 6], [3, 1], [8, 1], [9, 1]], 31/3317760],
[[[1, 5], [2, 6], [3, 1], [8, 1], [14, 1]], 1/43008],
[[[1, 5], [2, 6], [3, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 6], [3, 1], [10, 1], [14, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 3]], 2875/5971968],
[[[1, 5], [2, 6], [3, 2], [4, 1], [7, 1]], 11/7741440],
[[[1, 5], [2, 6], [3, 2], [4, 1], [9, 1]], 7/737280],
[[[1, 5], [2, 6], [3, 2], [4, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1]], 1/2211840],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 2]], 6245/10616832],
[[[1, 5], [2, 6], [3, 2], [4, 2], [8, 1]], 701/17694720],
[[[1, 5], [2, 6], [3, 2], [4, 2], [10, 1]], 7/276480],
[[[1, 5], [2, 6], [3, 2], [4, 2], [12, 1]], 1/331776],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 1]], 599/5308416],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 2]], 3/20480],
[[[1, 5], [2, 6], [3, 2], [5, 1], [8, 1]], 1/5529600],
[[[1, 5], [2, 6], [3, 2], [5, 1], [10, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 2], [6, 1], [7, 1]], 1/161280],
[[[1, 5], [2, 6], [3, 2], [6, 1], [9, 1]], 41/2488320],
[[[1, 5], [2, 6], [3, 2], [6, 1], [14, 1]], 5/82944],
[[[1, 5], [2, 6], [3, 2], [6, 1], [18, 1]], 1/31104],
[[[1, 5], [2, 6], [3, 2], [6, 2], [8, 1]], 77/663552],
[[[1, 5], [2, 6], [3, 2], [6, 2], [10, 1]], 277/829440],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1]], 1/49766400],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 2]], 25/165888],
[[[1, 5], [2, 6], [3, 3], [4, 1], [8, 1]], 1/1244160],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 1]], 425/47775744],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 1]], 91/37324800],
[[[1, 5], [2, 6], [3, 3], [6, 1], [8, 1]], 7/2211840],
[[[1, 5], [2, 6], [3, 3], [6, 1], [10, 1]], 1/25920],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 1]], 1/35831808],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 3]], 23/1244160],
[[[1, 5], [2, 6], [4, 1], [5, 1], [7, 1]], 83/8601600],
[[[1, 5], [2, 6], [4, 1], [5, 1], [14, 1]], 47/322560],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 1]], 11/1843200],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 2]], 11/110592],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 2]], 383/9216000],
[[[1, 5], [2, 6], [4, 1], [6, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 6], [4, 1], [6, 2], [7, 1]], 1/18432],
[[[1, 5], [2, 6], [4, 1], [6, 2], [14, 1]], 691/15482880],
[[[1, 5], [2, 6], [4, 1], [6, 2], [18, 1]], 751/6635520],
[[[1, 5], [2, 6], [4, 1], [6, 3], [8, 1]], 47/7962624],
[[[1, 5], [2, 6], [4, 1], [6, 3], [10, 1]], 1/1228800],
[[[1, 5], [2, 6], [4, 1], [6, 3], [12, 1]], 1/746496],
[[[1, 5], [2, 6], [4, 1], [7, 1], [8, 1]], 901/5160960],
[[[1, 5], [2, 6], [4, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 6], [4, 1], [7, 1], [12, 1]], 1/193536],
[[[1, 5], [2, 6], [4, 1], [8, 1], [14, 1]], 61/258048],
[[[1, 5], [2, 6], [4, 1], [10, 1], [14, 1]], 3943/25804800],
[[[1, 5], [2, 6], [4, 1], [12, 1], [14, 1]], 1/27648],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 2]], 17/184320],
[[[1, 5], [2, 6], [4, 2], [5, 1], [8, 1]], 1321/4915200],
[[[1, 5], [2, 6], [4, 2], [5, 1], [10, 1]], 15131/29491200],
[[[1, 5], [2, 6], [4, 2], [5, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 6], [4, 2], [6, 1], [7, 1]], 229/1548288],
[[[1, 5], [2, 6], [4, 2], [6, 1], [14, 1]], 49/294912],
[[[1, 5], [2, 6], [4, 2], [6, 1], [18, 1]], 455/2654208],
[[[1, 5], [2, 6], [4, 2], [6, 2], [8, 1]], 205/1179648],
[[[1, 5], [2, 6], [4, 2], [6, 2], [10, 1]], 157/4423680],
[[[1, 5], [2, 6], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 5], [2, 6], [4, 2], [8, 1], [10, 1]], 463/983040],
[[[1, 5], [2, 6], [4, 2], [8, 1], [12, 1]], 31/221184],
[[[1, 5], [2, 6], [4, 2], [10, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 1]], 5/73728],
[[[1, 5], [2, 6], [4, 3], [6, 1], [8, 1]], 1763/3538944],
[[[1, 5], [2, 6], [4, 3], [6, 1], [10, 1]], 227/2949120],
[[[1, 5], [2, 6], [4, 3], [6, 1], [12, 1]], 11/165888],
[[[1, 5], [2, 6], [5, 1], [6, 1], [7, 1]], 1/153600],
[[[1, 5], [2, 6], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 6], [5, 1], [6, 1], [18, 1]], 1/10368],
[[[1, 5], [2, 6], [5, 1], [6, 2], [8, 1]], 1/552960],
[[[1, 5], [2, 6], [5, 1], [6, 2], [10, 1]], 263/2764800],
[[[1, 5], [2, 6], [5, 1], [8, 1], [10, 1]], 111/819200],
[[[1, 5], [2, 6], [6, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 5], [2, 6], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 5], [2, 6], [6, 1], [8, 1], [14, 1]], 331/15482880],
[[[1, 5], [2, 6], [6, 1], [8, 1], [18, 1]], 139/3686400],
[[[1, 5], [2, 6], [6, 1], [10, 1], [14, 1]], 59/1290240],
[[[1, 5], [2, 6], [6, 1], [10, 1], [18, 1]], 11/221184],
[[[1, 5], [2, 6], [6, 2], [8, 1], [10, 1]], 61/16588800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 3]], 53623/238878720],
[[[1, 5], [2, 8], [3, 1], [4, 1], [7, 1]], 43/216760320],
[[[1, 5], [2, 8], [3, 1], [4, 1], [9, 1]], 17/55738368],
[[[1, 5], [2, 8], [3, 1], [4, 1], [14, 1]], 4541/108380160],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1]], 173/30965760],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 2]], 2273/5898240],
[[[1, 5], [2, 8], [3, 1], [4, 2], [8, 1]], 8789/185794560],
[[[1, 5], [2, 8], [3, 1], [4, 2], [10, 1]], 283/5529600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [12, 1]], 1/331776],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 1]], 96911/637009920],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 2]], 407/8294400],
[[[1, 5], [2, 8], [3, 1], [5, 1], [8, 1]], 1/22118400],
[[[1, 5], [2, 8], [3, 1], [5, 1], [10, 1]], 401/16588800],
[[[1, 5], [2, 8], [3, 1], [6, 1], [7, 1]], 9/573440],
[[[1, 5], [2, 8], [3, 1], [6, 1], [9, 1]], 1/3317760],
[[[1, 5], [2, 8], [3, 1], [6, 1], [14, 1]], 7969/61931520],
[[[1, 5], [2, 8], [3, 1], [6, 1], [18, 1]], 143/7464960],
[[[1, 5], [2, 8], [3, 1], [6, 2], [8, 1]], 257/6635520],
[[[1, 5], [2, 8], [3, 1], [6, 2], [10, 1]], 59291/398131200],
[[[1, 5], [2, 8], [3, 1], [8, 1], [10, 1]], 61/11059200],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1]], 1/30965760],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 2]], 5117/19906560],
[[[1, 5], [2, 8], [3, 2], [4, 1], [8, 1]], 47/6635520],
[[[1, 5], [2, 8], [3, 2], [4, 1], [10, 1]], 1/102400],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 1]], 1061/26542080],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 1]], 3/409600],
[[[1, 5], [2, 8], [3, 2], [6, 1], [8, 1]], 127/13271040],
[[[1, 5], [2, 8], [3, 2], [6, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 1]], 1181/185794560],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 2]], 289/6635520],
[[[1, 5], [2, 8], [4, 1], [5, 1], [8, 1]], 25/884736],
[[[1, 5], [2, 8], [4, 1], [5, 1], [10, 1]], 83987/619315200],
[[[1, 5], [2, 8], [4, 1], [6, 1], [7, 1]], 59/1720320],
[[[1, 5], [2, 8], [4, 1], [6, 1], [14, 1]], 18653/123863040],
[[[1, 5], [2, 8], [4, 1], [6, 1], [18, 1]], 22337/265420800],
[[[1, 5], [2, 8], [4, 1], [6, 2], [8, 1]], 15737/212336640],
[[[1, 5], [2, 8], [4, 1], [6, 2], [10, 1]], 1787/22118400],
[[[1, 5], [2, 8], [4, 1], [6, 2], [12, 1]], 29/3981312],
[[[1, 5], [2, 8], [4, 1], [8, 1], [10, 1]], 18899/176947200],
[[[1, 5], [2, 8], [4, 1], [10, 1], [12, 1]], 19/1843200],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 1]], 49/1228800],
[[[1, 5], [2, 8], [4, 2], [6, 1], [8, 1]], 73/245760],
[[[1, 5], [2, 8], [4, 2], [6, 1], [10, 1]], 18509/88473600],
[[[1, 5], [2, 8], [4, 2], [6, 1], [12, 1]], 19/663552],
[[[1, 5], [2, 8], [5, 1], [6, 1], [8, 1]], 1/552960],
[[[1, 5], [2, 8], [5, 1], [6, 1], [10, 1]], 3761/44236800],
[[[1, 5], [2, 8], [6, 1], [8, 1], [10, 1]], 5251/331776000],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1]], 77/212336640],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 2]], 175703/2229534720],
[[[1, 5], [2, 10], [3, 1], [4, 1], [8, 1]], 20941/8918138880],
[[[1, 5], [2, 10], [3, 1], [4, 1], [10, 1]], 44789/8360755200],
[[[1, 5], [2, 10], [3, 1], [4, 1], [12, 1]], 1/19906560],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 1]], 4061/106168320],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 1]], 7859/3715891200],
[[[1, 5], [2, 10], [3, 1], [6, 1], [8, 1]], 4397/1486356480],
[[[1, 5], [2, 10], [3, 1], [6, 1], [10, 1]], 21779/796262400],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 1]], 19571/4459069440],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 1]], 1207/232243200],
[[[1, 5], [2, 10], [4, 1], [6, 1], [8, 1]], 6719/297271296],
[[[1, 5], [2, 10], [4, 1], [6, 1], [10, 1]], 339683/6193152000],
[[[1, 5], [2, 10], [4, 1], [6, 1], [12, 1]], 191/139345920],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 1]], 199145/78479622144],
[[[1, 5], [3, 1], [4, 1], [8, 1], [11, 1]], 5/50688],
[[[1, 5], [3, 1], [4, 2], [5, 2], [12, 1]], 1/14400],
[[[1, 5], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1008],
[[[1, 5], [3, 2], [4, 1], [5, 2], [8, 1]], 1/28800],
[[[1, 5], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320],
[[[1, 5], [3, 2], [4, 2], [5, 1], [9, 1]], 1/13824],
[[[1, 5], [3, 2], [4, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 5], [3, 2], [4, 2], [9, 1], [12, 1]], 1/5184],
[[[1, 5], [3, 3], [4, 1], [7, 1], [8, 1]], 1/24192],
[[[1, 5], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 5], [3, 3], [4, 2], [5, 1], [12, 1]], 1/77760],
[[[1, 5], [3, 4], [4, 1], [5, 1], [8, 1]], 1/155520],
[[[1, 5], [4, 2], [5, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3]], 1/6000],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 2]], 31/225792],
[[[1, 6], [2, 1], [3, 1], [4, 1], [8, 3]], 1/36864],
[[[1, 6], [2, 1], [3, 1], [4, 1], [13, 1]], 7/29952],
[[[1, 6], [2, 1], [3, 1], [4, 2], [11, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2]], 1/23040],
[[[1, 6], [2, 1], [3, 1], [4, 4], [7, 1]], 1/1032192],
[[[1, 6], [2, 1], [3, 1], [4, 4], [9, 1]], 1/1327104],
[[[1, 6], [2, 1], [3, 1], [4, 5], [5, 1]], 1/1474560],
[[[1, 6], [2, 1], [3, 1], [4, 5], [8, 1]], 1/1769472],
[[[1, 6], [2, 1], [3, 1], [5, 1], [11, 1]], 1/2112],
[[[1, 6], [2, 1], [3, 1], [5, 2], [7, 1]], 1/4200],
[[[1, 6], [2, 1], [3, 1], [5, 2], [9, 1]], 1/2880],
[[[1, 6], [2, 1], [3, 1], [6, 1], [7, 2]], 13/56448],
[[[1, 6], [2, 1], [3, 1], [6, 1], [13, 1]], 1/7488],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 6], [2, 1], [3, 1], [7, 1], [16, 1]], 1/16128],
[[[1, 6], [2, 1], [3, 1], [8, 1], [11, 1]], 17/202752],
[[[1, 6], [2, 1], [3, 1], [8, 2], [9, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 1], [9, 1], [16, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 2], [4, 1], [11, 1]], 1/8448],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2]], 1/38400],
[[[1, 6], [2, 1], [3, 2], [4, 2], [8, 2]], 1/24576],
[[[1, 6], [2, 1], [3, 2], [4, 3], [7, 1]], 19/774144],
[[[1, 6], [2, 1], [3, 2], [4, 3], [9, 1]], 19/331776],
[[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1]], 1/2211840],
[[[1, 6], [2, 1], [3, 2], [5, 1], [8, 2]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [5, 1], [16, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [5, 2], [8, 1]], 1/28800],
[[[1, 6], [2, 1], [3, 2], [5, 2], [10, 1]], 1/3600],
[[[1, 6], [2, 1], [3, 2], [6, 1], [11, 1]], 5/19008],
[[[1, 6], [2, 1], [3, 2], [7, 1], [9, 1]], 1/864],
[[[1, 6], [2, 1], [3, 2], [7, 1], [14, 1]], 1/48384],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2]], 1/25920],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 2]], 1/165888],
[[[1, 6], [2, 1], [3, 3], [4, 2], [7, 1]], 1/96768],
[[[1, 6], [2, 1], [3, 3], [4, 2], [9, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1]], 37/4976640],
[[[1, 6], [2, 1], [3, 3], [4, 3], [8, 1]], 1/221184],
[[[1, 6], [2, 1], [3, 3], [4, 3], [12, 1]], 1/62208],
[[[1, 6], [2, 1], [3, 3], [4, 4], [6, 1]], 1/2654208],
[[[1, 6], [2, 1], [3, 3], [5, 1], [7, 1]], 1/30240],
[[[1, 6], [2, 1], [3, 3], [5, 1], [9, 1]], 13/25920],
[[[1, 6], [2, 1], [3, 3], [5, 2], [6, 1]], 1/5400],
[[[1, 6], [2, 1], [3, 3], [6, 1], [8, 2]], 1/55296],
[[[1, 6], [2, 1], [3, 3], [7, 1], [8, 1]], 1/24192],
[[[1, 6], [2, 1], [3, 3], [8, 1], [9, 1]], 1/10368],
[[[1, 6], [2, 1], [3, 4], [4, 1], [7, 1]], 5/217728],
[[[1, 6], [2, 1], [3, 4], [4, 1], [9, 1]], 13/93312],
[[[1, 6], [2, 1], [3, 4], [4, 1], [14, 1]], 1/217728],
[[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1]], 1/414720],
[[[1, 6], [2, 1], [3, 4], [4, 2], [8, 1]], 17/1990656],
[[[1, 6], [2, 1], [3, 4], [4, 2], [12, 1]], 1/373248],
[[[1, 6], [2, 1], [3, 4], [4, 3], [6, 1]], 1/8957952],
[[[1, 6], [2, 1], [3, 4], [5, 1], [8, 1]], 1/155520],
[[[1, 6], [2, 1], [3, 4], [5, 1], [10, 1]], 1/38880],
[[[1, 6], [2, 1], [3, 4], [6, 1], [7, 1]], 1/7776],
[[[1, 6], [2, 1], [3, 4], [6, 1], [9, 1]], 1/1944],
[[[1, 6], [2, 1], [3, 4], [8, 1], [10, 1]], 1/311040],
[[[1, 6], [2, 1], [3, 5], [4, 1], [5, 1]], 1/466560],
[[[1, 6], [2, 1], [3, 5], [4, 1], [8, 1]], 5/746496],
[[[1, 6], [2, 1], [3, 5], [5, 1], [6, 1]], 1/38880],
[[[1, 6], [2, 1], [4, 1], [5, 1], [11, 1]], 1/3520],
[[[1, 6], [2, 1], [4, 1], [5, 2], [7, 1]], 1/3200],
[[[1, 6], [2, 1], [4, 1], [5, 2], [14, 1]], 1/67200],
[[[1, 6], [2, 1], [4, 1], [6, 1], [7, 2]], 1/903168],
[[[1, 6], [2, 1], [4, 1], [6, 1], [13, 1]], 1/119808],
[[[1, 6], [2, 1], [4, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 6], [2, 1], [4, 1], [8, 1], [11, 1]], 19/33792],
[[[1, 6], [2, 1], [4, 1], [10, 1], [11, 1]], 1/21120],
[[[1, 6], [2, 1], [4, 1], [11, 1], [12, 1]], 1/12672],
[[[1, 6], [2, 1], [4, 2], [5, 1], [8, 2]], 1/61440],
[[[1, 6], [2, 1], [4, 2], [5, 2], [8, 1]], 1/204800],
[[[1, 6], [2, 1], [4, 2], [5, 2], [10, 1]], 1/76800],
[[[1, 6], [2, 1], [4, 2], [5, 2], [12, 1]], 1/19200],
[[[1, 6], [2, 1], [4, 2], [7, 1], [14, 1]], 1/1720320],
[[[1, 6], [2, 1], [4, 3], [5, 1], [7, 1]], 1/20480],
[[[1, 6], [2, 1], [4, 3], [5, 2], [6, 1]], 1/2764800],
[[[1, 6], [2, 1], [4, 3], [7, 1], [12, 1]], 1/16128],
[[[1, 6], [2, 1], [4, 4], [5, 1], [10, 1]], 1/2949120],
[[[1, 6], [2, 1], [5, 1], [7, 1], [14, 1]], 1/53760],
[[[1, 6], [2, 1], [5, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 6], [2, 1], [5, 2], [8, 1], [10, 1]], 1/96000],
[[[1, 6], [2, 1], [6, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 6], [2, 1], [7, 1], [8, 1], [14, 1]], 1/430080],
[[[1, 6], [2, 3], [3, 1], [4, 1], [11, 1]], 1181/2433024],
[[[1, 6], [2, 3], [3, 1], [4, 1], [22, 1]], 1/202752],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2]], 217/921600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 2]], 145/147456],
[[[1, 6], [2, 3], [3, 1], [4, 2], [10, 2]], 1/1843200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [16, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 1], [4, 3], [7, 1]], 1117/9289728],
[[[1, 6], [2, 3], [3, 1], [4, 3], [9, 1]], 5641/19906560],
[[[1, 6], [2, 3], [3, 1], [4, 3], [14, 1]], 1/32256],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1]], 397/8847360],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 2]], 1/1327104],
[[[1, 6], [2, 3], [3, 1], [4, 4], [8, 1]], 77/884736],
[[[1, 6], [2, 3], [3, 1], [4, 4], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 1]], 5/2654208],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 2]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [16, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 2]], 1/14400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [8, 1]], 13/460800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [10, 1]], 11/32000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [11, 1]], 53/76032],
[[[1, 6], [2, 3], [3, 1], [6, 1], [22, 1]], 1/1520640],
[[[1, 6], [2, 3], [3, 1], [6, 3], [7, 1]], 1/145152],
[[[1, 6], [2, 3], [3, 1], [7, 1], [9, 1]], 1/2016],
[[[1, 6], [2, 3], [3, 1], [7, 1], [14, 1]], 59/200704],
[[[1, 6], [2, 3], [3, 1], [9, 1], [14, 1]], 1/6048],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2]], 1/34560],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 2]], 19/147456],
[[[1, 6], [2, 3], [3, 2], [4, 1], [16, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 2], [7, 1]], 53/258048],
[[[1, 6], [2, 3], [3, 2], [4, 2], [9, 1]], 485/663552],
[[[1, 6], [2, 3], [3, 2], [4, 2], [14, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1]], 667/9953280],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 2]], 17/995328],
[[[1, 6], [2, 3], [3, 2], [4, 3], [8, 1]], 133/589824],
[[[1, 6], [2, 3], [3, 2], [4, 3], [10, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 2], [4, 3], [12, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 1]], 185/5308416],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 3]], 1/62208],
[[[1, 6], [2, 3], [3, 2], [5, 1], [7, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 2], [5, 1], [9, 1]], 17/69120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [14, 1]], 1/10080],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 1]], 11/57600],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 2]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [6, 1], [16, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 2], [6, 2], [7, 1]], 25/48384],
[[[1, 6], [2, 3], [3, 2], [6, 2], [9, 1]], 11/186624],
[[[1, 6], [2, 3], [3, 2], [6, 3], [8, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 2], [7, 1], [8, 1]], 19/387072],
[[[1, 6], [2, 3], [3, 2], [7, 1], [10, 1]], 1/6720],
[[[1, 6], [2, 3], [3, 2], [8, 1], [9, 1]], 25/165888],
[[[1, 6], [2, 3], [3, 2], [9, 1], [10, 1]], 11/51840],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 3]], 1/41472],
[[[1, 6], [2, 3], [3, 3], [4, 1], [7, 1]], 17/290304],
[[[1, 6], [2, 3], [3, 3], [4, 1], [9, 1]], 43/124416],
[[[1, 6], [2, 3], [3, 3], [4, 1], [14, 1]], 1/24192],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1]], 13/552960],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 2]], 61/663552],
[[[1, 6], [2, 3], [3, 3], [4, 2], [8, 1]], 91/663552],
[[[1, 6], [2, 3], [3, 3], [4, 2], [10, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 3], [4, 2], [12, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 1]], 655/11943936],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 2]], 223/466560],
[[[1, 6], [2, 3], [3, 3], [5, 1], [8, 1]], 7/2488320],
[[[1, 6], [2, 3], [3, 3], [5, 1], [10, 1]], 1/10800],
[[[1, 6], [2, 3], [3, 3], [6, 1], [7, 1]], 43/145152],
[[[1, 6], [2, 3], [3, 3], [6, 1], [9, 1]], 5/5184],
[[[1, 6], [2, 3], [3, 3], [6, 1], [14, 1]], 1/12096],
[[[1, 6], [2, 3], [3, 3], [6, 2], [8, 1]], 5/55296],
[[[1, 6], [2, 3], [3, 3], [6, 2], [10, 1]], 1/25920],
[[[1, 6], [2, 3], [3, 3], [8, 1], [10, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1]], 7/1866240],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 2]], 71/248832],
[[[1, 6], [2, 3], [3, 4], [4, 1], [8, 1]], 17/1990656],
[[[1, 6], [2, 3], [3, 4], [4, 1], [10, 1]], 19/1244160],
[[[1, 6], [2, 3], [3, 4], [4, 1], [12, 1]], 7/2239488],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 1]], 59/746496],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 1]], 7/311040],
[[[1, 6], [2, 3], [3, 4], [6, 1], [8, 1]], 13/497664],
[[[1, 6], [2, 3], [3, 4], [6, 1], [10, 1]], 19/466560],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 1]], 1/93312],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 2]], 3/40960],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 2]], 17/153600],
[[[1, 6], [2, 3], [4, 1], [5, 1], [16, 1]], 1/7680],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 2]], 1/345600],
[[[1, 6], [2, 3], [4, 1], [5, 2], [8, 1]], 27/102400],
[[[1, 6], [2, 3], [4, 1], [5, 2], [10, 1]], 253/384000],
[[[1, 6], [2, 3], [4, 1], [5, 2], [12, 1]], 23/345600],
[[[1, 6], [2, 3], [4, 1], [6, 1], [11, 1]], 17/101376],
[[[1, 6], [2, 3], [4, 1], [6, 1], [22, 1]], 1/2027520],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 2]], 1/4423680],
[[[1, 6], [2, 3], [4, 1], [7, 1], [14, 1]], 2837/12042240],
[[[1, 6], [2, 3], [4, 1], [8, 1], [10, 2]], 1/6144000],
[[[1, 6], [2, 3], [4, 1], [8, 1], [16, 1]], 1/12288],
[[[1, 6], [2, 3], [4, 1], [8, 2], [10, 1]], 41/1228800],
[[[1, 6], [2, 3], [4, 2], [5, 1], [7, 1]], 5/8192],
[[[1, 6], [2, 3], [4, 2], [5, 1], [14, 1]], 1/13440],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 1]], 1/25600],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 2]], 1/24576],
[[[1, 6], [2, 3], [4, 2], [7, 1], [8, 1]], 191/172032],
[[[1, 6], [2, 3], [4, 2], [7, 1], [10, 1]], 1/10752],
[[[1, 6], [2, 3], [4, 2], [7, 1], [12, 1]], 1/5376],
[[[1, 6], [2, 3], [4, 2], [8, 1], [14, 1]], 1/21504],
[[[1, 6], [2, 3], [4, 3], [5, 1], [8, 1]], 371/491520],
[[[1, 6], [2, 3], [4, 3], [5, 1], [10, 1]], 157/1638400],
[[[1, 6], [2, 3], [4, 3], [5, 1], [12, 1]], 1/10240],
[[[1, 6], [2, 3], [4, 3], [6, 1], [7, 1]], 31/774144],
[[[1, 6], [2, 3], [4, 3], [8, 1], [10, 1]], 1/20480],
[[[1, 6], [2, 3], [4, 3], [8, 1], [12, 1]], 7/36864],
[[[1, 6], [2, 3], [4, 4], [5, 1], [6, 1]], 1/552960],
[[[1, 6], [2, 3], [4, 4], [6, 1], [8, 1]], 1/884736],
[[[1, 6], [2, 3], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 6], [2, 3], [5, 1], [6, 2], [7, 1]], 1/34560],
[[[1, 6], [2, 3], [5, 1], [7, 1], [8, 1]], 13/215040],
[[[1, 6], [2, 3], [5, 1], [7, 1], [10, 1]], 47/67200],
[[[1, 6], [2, 3], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 6], [2, 3], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 6], [2, 3], [5, 2], [6, 1], [10, 1]], 11/144000],
[[[1, 6], [2, 3], [6, 1], [7, 1], [14, 1]], 1/107520],
[[[1, 6], [2, 3], [6, 2], [8, 1], [18, 1]], 1/1658880],
[[[1, 6], [2, 3], [6, 2], [10, 1], [18, 1]], 1/12441600],
[[[1, 6], [2, 3], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 6], [2, 3], [8, 1], [10, 1], [14, 1]], 1/2150400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2]], 383/9216000],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 4]], 1/35831808],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 2]], 11/110592],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 2]], 11/1843200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [16, 1]], 1/18432],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 3]], 425/47775744],
[[[1, 6], [2, 5], [3, 1], [4, 2], [7, 1]], 49/294912],
[[[1, 6], [2, 5], [3, 1], [4, 2], [9, 1]], 455/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 2], [14, 1]], 229/1548288],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1]], 227/2949120],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 2]], 599/5308416],
[[[1, 6], [2, 5], [3, 1], [4, 3], [8, 1]], 1763/3538944],
[[[1, 6], [2, 5], [3, 1], [4, 3], [10, 1]], 5/73728],
[[[1, 6], [2, 5], [3, 1], [4, 3], [12, 1]], 11/165888],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 1]], 3949/28311552],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 3]], 1/25920],
[[[1, 6], [2, 5], [3, 1], [5, 1], [7, 1]], 59/1290240],
[[[1, 6], [2, 5], [3, 1], [5, 1], [9, 1]], 11/221184],
[[[1, 6], [2, 5], [3, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 1]], 1/10800],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 2]], 1/589824],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 2]], 41/6912000],
[[[1, 6], [2, 5], [3, 1], [6, 1], [16, 1]], 5/73728],
[[[1, 6], [2, 5], [3, 1], [6, 2], [7, 1]], 5/82944],
[[[1, 6], [2, 5], [3, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 6], [2, 5], [3, 1], [6, 2], [14, 1]], 1/161280],
[[[1, 6], [2, 5], [3, 1], [6, 2], [18, 1]], 41/2488320],
[[[1, 6], [2, 5], [3, 1], [6, 3], [8, 1]], 7/2211840],
[[[1, 6], [2, 5], [3, 1], [6, 3], [10, 1]], 91/37324800],
[[[1, 6], [2, 5], [3, 1], [7, 1], [8, 1]], 331/15482880],
[[[1, 6], [2, 5], [3, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 6], [2, 5], [3, 1], [8, 1], [9, 1]], 139/3686400],
[[[1, 6], [2, 5], [3, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 5], [3, 1], [9, 1], [10, 1]], 1/10368],
[[[1, 6], [2, 5], [3, 1], [10, 1], [14, 1]], 1/153600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 3]], 25/165888],
[[[1, 6], [2, 5], [3, 2], [4, 1], [7, 1]], 691/15482880],
[[[1, 6], [2, 5], [3, 2], [4, 1], [9, 1]], 751/6635520],
[[[1, 6], [2, 5], [3, 2], [4, 1], [14, 1]], 1/18432],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1]], 157/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 2]], 6245/10616832],
[[[1, 6], [2, 5], [3, 2], [4, 2], [8, 1]], 205/1179648],
[[[1, 6], [2, 5], [3, 2], [4, 2], [10, 1]], 17/184320],
[[[1, 6], [2, 5], [3, 2], [4, 2], [12, 1]], 1/41472],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 1]], 37/124416],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 2]], 277/829440],
[[[1, 6], [2, 5], [3, 2], [5, 1], [8, 1]], 61/16588800],
[[[1, 6], [2, 5], [3, 2], [5, 1], [10, 1]], 263/2764800],
[[[1, 6], [2, 5], [3, 2], [6, 1], [7, 1]], 109/774144],
[[[1, 6], [2, 5], [3, 2], [6, 1], [9, 1]], 137/746496],
[[[1, 6], [2, 5], [3, 2], [6, 1], [14, 1]], 1/7168],
[[[1, 6], [2, 5], [3, 2], [6, 1], [18, 1]], 1/82944],
[[[1, 6], [2, 5], [3, 2], [6, 2], [8, 1]], 77/663552],
[[[1, 6], [2, 5], [3, 2], [6, 2], [10, 1]], 3/20480],
[[[1, 6], [2, 5], [3, 2], [8, 1], [10, 1]], 1/552960],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1]], 1/1228800],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 2]], 2875/5971968],
[[[1, 6], [2, 5], [3, 3], [4, 1], [8, 1]], 47/7962624],
[[[1, 6], [2, 5], [3, 3], [4, 1], [10, 1]], 23/1244160],
[[[1, 6], [2, 5], [3, 3], [4, 1], [12, 1]], 1/746496],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 1]], 2327/15925248],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 1]], 407/14929920],
[[[1, 6], [2, 5], [3, 3], [6, 1], [8, 1]], 31/1990656],
[[[1, 6], [2, 5], [3, 3], [6, 1], [10, 1]], 11/103680],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 1]], 61/3981312],
[[[1, 6], [2, 5], [4, 1], [5, 1], [7, 1]], 3943/25804800],
[[[1, 6], [2, 5], [4, 1], [5, 1], [14, 1]], 1/6720],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 1]], 923/11059200],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 2]], 301/4423680],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 2]], 13/4608000],
[[[1, 6], [2, 5], [4, 1], [6, 2], [7, 1]], 1/24192],
[[[1, 6], [2, 5], [4, 1], [6, 2], [14, 1]], 11/7741440],
[[[1, 6], [2, 5], [4, 1], [6, 2], [18, 1]], 7/737280],
[[[1, 6], [2, 5], [4, 1], [6, 3], [8, 1]], 1/1244160],
[[[1, 6], [2, 5], [4, 1], [6, 3], [10, 1]], 1/49766400],
[[[1, 6], [2, 5], [4, 1], [7, 1], [8, 1]], 61/258048],
[[[1, 6], [2, 5], [4, 1], [7, 1], [10, 1]], 47/322560],
[[[1, 6], [2, 5], [4, 1], [7, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 5], [4, 1], [8, 1], [14, 1]], 901/5160960],
[[[1, 6], [2, 5], [4, 1], [10, 1], [14, 1]], 83/8601600],
[[[1, 6], [2, 5], [4, 1], [12, 1], [14, 1]], 1/193536],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 2]], 7/276480],
[[[1, 6], [2, 5], [4, 2], [5, 1], [8, 1]], 463/983040],
[[[1, 6], [2, 5], [4, 2], [5, 1], [10, 1]], 15131/29491200],
[[[1, 6], [2, 5], [4, 2], [5, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 5], [4, 2], [6, 1], [7, 1]], 5/32256],
[[[1, 6], [2, 5], [4, 2], [6, 1], [14, 1]], 167/20643840],
[[[1, 6], [2, 5], [4, 2], [6, 1], [18, 1]], 167/8847360],
[[[1, 6], [2, 5], [4, 2], [6, 2], [8, 1]], 701/17694720],
[[[1, 6], [2, 5], [4, 2], [6, 2], [10, 1]], 1/2211840],
[[[1, 6], [2, 5], [4, 2], [6, 2], [12, 1]], 1/331776],
[[[1, 6], [2, 5], [4, 2], [8, 1], [10, 1]], 1321/4915200],
[[[1, 6], [2, 5], [4, 2], [8, 1], [12, 1]], 31/221184],
[[[1, 6], [2, 5], [4, 2], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 1]], 547/4423680],
[[[1, 6], [2, 5], [4, 3], [6, 1], [8, 1]], 101/393216],
[[[1, 6], [2, 5], [4, 3], [6, 1], [10, 1]], 443/26542080],
[[[1, 6], [2, 5], [4, 3], [6, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 5], [5, 1], [6, 1], [7, 1]], 7/138240],
[[[1, 6], [2, 5], [5, 1], [6, 1], [14, 1]], 1/161280],
[[[1, 6], [2, 5], [5, 1], [6, 1], [18, 1]], 1/69120],
[[[1, 6], [2, 5], [5, 1], [6, 2], [10, 1]], 1/18432],
[[[1, 6], [2, 5], [5, 1], [8, 1], [10, 1]], 111/819200],
[[[1, 6], [2, 5], [6, 1], [7, 1], [8, 1]], 1/43008],
[[[1, 6], [2, 5], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 6], [2, 5], [6, 1], [8, 1], [14, 1]], 11/2580480],
[[[1, 6], [2, 5], [6, 1], [8, 1], [18, 1]], 31/3317760],
[[[1, 6], [2, 5], [6, 1], [10, 1], [14, 1]], 61/19353600],
[[[1, 6], [2, 5], [6, 1], [10, 1], [18, 1]], 451/99532800],
[[[1, 6], [2, 5], [6, 2], [8, 1], [10, 1]], 1/5529600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 3]], 64807/716636160],
[[[1, 6], [2, 7], [3, 1], [4, 1], [7, 1]], 223/48168960],
[[[1, 6], [2, 7], [3, 1], [4, 1], [9, 1]], 5507/928972800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [14, 1]], 811/15482880],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1]], 1963/88473600],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 2]], 2477/7962624],
[[[1, 6], [2, 7], [3, 1], [4, 2], [8, 1]], 1801/13271040],
[[[1, 6], [2, 7], [3, 1], [4, 2], [10, 1]], 131/1382400],
[[[1, 6], [2, 7], [3, 1], [4, 2], [12, 1]], 5/663552],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 1]], 56473/212336640],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 2]], 631/8294400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [8, 1]], 23/22118400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [10, 1]], 4001/66355200],
[[[1, 6], [2, 7], [3, 1], [6, 1], [7, 1]], 751/18579456],
[[[1, 6], [2, 7], [3, 1], [6, 1], [9, 1]], 31/4976640],
[[[1, 6], [2, 7], [3, 1], [6, 1], [14, 1]], 131/1720320],
[[[1, 6], [2, 7], [3, 1], [6, 1], [18, 1]], 1151/49766400],
[[[1, 6], [2, 7], [3, 1], [6, 2], [8, 1]], 667/22118400],
[[[1, 6], [2, 7], [3, 1], [6, 2], [10, 1]], 5869/99532800],
[[[1, 6], [2, 7], [3, 1], [8, 1], [10, 1]], 1/221184],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1]], 2059/1393459200],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 2]], 5161/13271040],
[[[1, 6], [2, 7], [3, 2], [4, 1], [8, 1]], 433/21233664],
[[[1, 6], [2, 7], [3, 2], [4, 1], [10, 1]], 119/6635520],
[[[1, 6], [2, 7], [3, 2], [4, 1], [12, 1]], 1/3981312],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 1]], 8011/53084160],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 1]], 431/22118400],
[[[1, 6], [2, 7], [3, 2], [6, 1], [8, 1]], 29/1658880],
[[[1, 6], [2, 7], [3, 2], [6, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 1]], 1283/47775744],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 2]], 7/184320],
[[[1, 6], [2, 7], [4, 1], [5, 1], [8, 1]], 6523/88473600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [10, 1]], 1321/6553600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [12, 1]], 1/1105920],
[[[1, 6], [2, 7], [4, 1], [6, 1], [7, 1]], 691/15482880],
[[[1, 6], [2, 7], [4, 1], [6, 1], [14, 1]], 67/1146880],
[[[1, 6], [2, 7], [4, 1], [6, 1], [18, 1]], 1007/22118400],
[[[1, 6], [2, 7], [4, 1], [6, 2], [8, 1]], 2011/53084160],
[[[1, 6], [2, 7], [4, 1], [6, 2], [10, 1]], 17/884736],
[[[1, 6], [2, 7], [4, 1], [6, 2], [12, 1]], 5/1990656],
[[[1, 6], [2, 7], [4, 1], [8, 1], [10, 1]], 729/8192000],
[[[1, 6], [2, 7], [4, 1], [10, 1], [12, 1]], 11/1658880],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 1]], 37/442368],
[[[1, 6], [2, 7], [4, 2], [6, 1], [8, 1]], 199/884736],
[[[1, 6], [2, 7], [4, 2], [6, 1], [10, 1]], 6901/88473600],
[[[1, 6], [2, 7], [4, 2], [6, 1], [12, 1]], 73/3317760],
[[[1, 6], [2, 7], [5, 1], [6, 1], [8, 1]], 1/409600],
[[[1, 6], [2, 7], [5, 1], [6, 1], [10, 1]], 17/204800],
[[[1, 6], [2, 7], [6, 1], [8, 1], [10, 1]], 131/22118400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1]], 517/275251200],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 2]], 588533/4777574400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [8, 1]], 28589/2972712960],
[[[1, 6], [2, 9], [3, 1], [4, 1], [10, 1]], 211/12902400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [12, 1]], 1/6635520],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 1]], 1966253/17836277760],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 1]], 32509/3715891200],
[[[1, 6], [2, 9], [3, 1], [6, 1], [8, 1]], 8651/1238630400],
[[[1, 6], [2, 9], [3, 1], [6, 1], [10, 1]], 147353/3981312000],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 1]], 15551/743178240],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 1]], 161/9830400],
[[[1, 6], [2, 9], [4, 1], [6, 1], [8, 1]], 238249/7431782400],
[[[1, 6], [2, 9], [4, 1], [6, 1], [10, 1]], 130319/2654208000],
[[[1, 6], [2, 9], [4, 1], [6, 1], [12, 1]], 41/19906560],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 1]], 2114713/200658124800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [11, 1]], 113/405504],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2]], 59/204800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 2]], 41/147456],
[[[1, 7], [2, 2], [3, 1], [4, 3], [7, 1]], 73/1548288],
[[[1, 7], [2, 2], [3, 1], [4, 3], [9, 1]], 1/40960],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1]], 9/327680],
[[[1, 7], [2, 2], [3, 1], [4, 4], [8, 1]], 11/442368],
[[[1, 7], [2, 2], [3, 1], [4, 4], [12, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 1], [4, 5], [6, 1]], 1/7077888],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 2]], 1/61440],
[[[1, 7], [2, 2], [3, 1], [5, 1], [16, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 2]], 1/259200],
[[[1, 7], [2, 2], [3, 1], [5, 2], [8, 1]], 1/25600],
[[[1, 7], [2, 2], [3, 1], [5, 2], [10, 1]], 47/144000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [11, 1]], 401/1520640],
[[[1, 7], [2, 2], [3, 1], [7, 1], [9, 1]], 1/2160],
[[[1, 7], [2, 2], [3, 1], [7, 1], [14, 1]], 101/2257920],
[[[1, 7], [2, 2], [3, 1], [9, 1], [14, 1]], 1/60480],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2]], 7/28800],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 2]], 5/98304],
[[[1, 7], [2, 2], [3, 2], [4, 1], [16, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 2], [4, 2], [7, 1]], 23/172032],
[[[1, 7], [2, 2], [3, 2], [4, 2], [9, 1]], 359/1105920],
[[[1, 7], [2, 2], [3, 2], [4, 2], [14, 1]], 1/96768],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1]], 131/3317760],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 2]], 1/4976640],
[[[1, 7], [2, 2], [3, 2], [4, 3], [8, 1]], 31/884736],
[[[1, 7], [2, 2], [3, 2], [4, 3], [12, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 1]], 5/7962624],
[[[1, 7], [2, 2], [3, 2], [5, 1], [7, 1]], 29/120960],
[[[1, 7], [2, 2], [3, 2], [5, 1], [9, 1]], 421/829440],
[[[1, 7], [2, 2], [3, 2], [5, 1], [14, 1]], 1/30240],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 1]], 11/32400],
[[[1, 7], [2, 2], [3, 2], [6, 1], [8, 2]], 1/55296],
[[[1, 7], [2, 2], [3, 2], [6, 1], [16, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 2], [6, 2], [7, 1]], 1/9072],
[[[1, 7], [2, 2], [3, 2], [6, 2], [9, 1]], 7/933120],
[[[1, 7], [2, 2], [3, 2], [7, 1], [8, 1]], 5/64512],
[[[1, 7], [2, 2], [3, 2], [7, 1], [10, 1]], 1/40320],
[[[1, 7], [2, 2], [3, 2], [8, 1], [9, 1]], 29/331776],
[[[1, 7], [2, 2], [3, 2], [9, 1], [10, 1]], 7/259200],
[[[1, 7], [2, 2], [3, 3], [4, 1], [7, 1]], 1/6912],
[[[1, 7], [2, 2], [3, 3], [4, 1], [9, 1]], 19/41472],
[[[1, 7], [2, 2], [3, 3], [4, 1], [14, 1]], 1/108864],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1]], 811/9953280],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 2]], 1/221184],
[[[1, 7], [2, 2], [3, 3], [4, 2], [8, 1]], 59/497664],
[[[1, 7], [2, 2], [3, 3], [4, 2], [10, 1]], 1/207360],
[[[1, 7], [2, 2], [3, 3], [4, 2], [12, 1]], 1/62208],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 1]], 683/35831808],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 2]], 89/559872],
[[[1, 7], [2, 2], [3, 3], [5, 1], [8, 1]], 13/414720],
[[[1, 7], [2, 2], [3, 3], [5, 1], [10, 1]], 73/777600],
[[[1, 7], [2, 2], [3, 3], [6, 1], [7, 1]], 31/72576],
[[[1, 7], [2, 2], [3, 3], [6, 1], [9, 1]], 5/7776],
[[[1, 7], [2, 2], [3, 3], [6, 2], [8, 1]], 1/82944],
[[[1, 7], [2, 2], [3, 3], [8, 1], [10, 1]], 1/155520],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1]], 19/622080],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 2]], 1/62208],
[[[1, 7], [2, 2], [3, 4], [4, 1], [8, 1]], 103/1990656],
[[[1, 7], [2, 2], [3, 4], [4, 1], [10, 1]], 1/414720],
[[[1, 7], [2, 2], [3, 4], [4, 1], [12, 1]], 1/248832],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 1]], 1/62208],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 1]], 77/466560],
[[[1, 7], [2, 2], [3, 4], [6, 1], [8, 1]], 13/497664],
[[[1, 7], [2, 2], [3, 4], [6, 1], [10, 1]], 1/466560],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 1]], 49/1119744],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 2]], 1/49152],
[[[1, 7], [2, 2], [4, 1], [5, 1], [10, 2]], 1/76800],
[[[1, 7], [2, 2], [4, 1], [5, 1], [16, 1]], 1/76800],
[[[1, 7], [2, 2], [4, 1], [5, 2], [8, 1]], 13/49152],
[[[1, 7], [2, 2], [4, 1], [5, 2], [10, 1]], 27/256000],
[[[1, 7], [2, 2], [4, 1], [5, 2], [12, 1]], 1/28800],
[[[1, 7], [2, 2], [4, 1], [6, 1], [11, 1]], 5/202752],
[[[1, 7], [2, 2], [4, 1], [6, 1], [22, 1]], 1/85155840],
[[[1, 7], [2, 2], [4, 1], [7, 1], [14, 1]], 517/36126720],
[[[1, 7], [2, 2], [4, 1], [8, 1], [16, 1]], 1/184320],
[[[1, 7], [2, 2], [4, 1], [8, 2], [10, 1]], 1/460800],
[[[1, 7], [2, 2], [4, 2], [5, 1], [7, 1]], 233/860160],
[[[1, 7], [2, 2], [4, 2], [5, 1], [14, 1]], 1/134400],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 1]], 11/1843200],
[[[1, 7], [2, 2], [4, 2], [7, 1], [8, 1]], 311/860160],
[[[1, 7], [2, 2], [4, 2], [7, 1], [10, 1]], 1/53760],
[[[1, 7], [2, 2], [4, 2], [7, 1], [12, 1]], 1/16128],
[[[1, 7], [2, 2], [4, 2], [8, 1], [14, 1]], 1/322560],
[[[1, 7], [2, 2], [4, 3], [5, 1], [8, 1]], 7/409600],
[[[1, 7], [2, 2], [4, 3], [5, 1], [10, 1]], 133/14745600],
[[[1, 7], [2, 2], [4, 3], [5, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 2], [4, 3], [6, 1], [7, 1]], 1/3870720],
[[[1, 7], [2, 2], [4, 3], [8, 1], [12, 1]], 1/36864],
[[[1, 7], [2, 2], [4, 4], [5, 1], [6, 1]], 1/5529600],
[[[1, 7], [2, 2], [4, 4], [6, 1], [8, 1]], 1/13271040],
[[[1, 7], [2, 2], [5, 1], [6, 2], [7, 1]], 1/241920],
[[[1, 7], [2, 2], [5, 1], [7, 1], [8, 1]], 13/430080],
[[[1, 7], [2, 2], [5, 1], [7, 1], [10, 1]], 1/3200],
[[[1, 7], [2, 2], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 7], [2, 2], [5, 2], [6, 1], [10, 1]], 1/144000],
[[[1, 7], [2, 2], [6, 1], [7, 1], [14, 1]], 1/3870720],
[[[1, 7], [2, 2], [7, 1], [8, 1], [10, 1]], 1/134400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2]], 17/115200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 2]], 49/442368],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 2]], 7/18432000],
[[[1, 7], [2, 4], [3, 1], [4, 1], [16, 1]], 1/18432],
[[[1, 7], [2, 4], [3, 1], [4, 2], [7, 1]], 1639/4128768],
[[[1, 7], [2, 4], [3, 1], [4, 2], [9, 1]], 311/983040],
[[[1, 7], [2, 4], [3, 1], [4, 2], [14, 1]], 11/172032],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1]], 3559/13271040],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 2]], 11/884736],
[[[1, 7], [2, 4], [3, 1], [4, 3], [8, 1]], 175/294912],
[[[1, 7], [2, 4], [3, 1], [4, 3], [10, 1]], 41/1474560],
[[[1, 7], [2, 4], [3, 1], [4, 3], [12, 1]], 7/110592],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 1]], 1871/42467328],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 3]], 1/69120],
[[[1, 7], [2, 4], [3, 1], [5, 1], [7, 1]], 593/3870720],
[[[1, 7], [2, 4], [3, 1], [5, 1], [9, 1]], 8417/66355200],
[[[1, 7], [2, 4], [3, 1], [5, 1], [14, 1]], 1/13440],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 1]], 443/2073600],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 2]], 1/147456],
[[[1, 7], [2, 4], [3, 1], [6, 1], [16, 1]], 1/36864],
[[[1, 7], [2, 4], [3, 1], [6, 2], [7, 1]], 1/24192],
[[[1, 7], [2, 4], [3, 1], [6, 2], [9, 1]], 13/622080],
[[[1, 7], [2, 4], [3, 1], [6, 2], [14, 1]], 1/11612160],
[[[1, 7], [2, 4], [3, 1], [6, 2], [18, 1]], 1/2488320],
[[[1, 7], [2, 4], [3, 1], [6, 3], [8, 1]], 1/6635520],
[[[1, 7], [2, 4], [3, 1], [6, 3], [10, 1]], 1/24883200],
[[[1, 7], [2, 4], [3, 1], [7, 1], [8, 1]], 43/774144],
[[[1, 7], [2, 4], [3, 1], [7, 1], [10, 1]], 13/120960],
[[[1, 7], [2, 4], [3, 1], [8, 1], [9, 1]], 1/20480],
[[[1, 7], [2, 4], [3, 1], [9, 1], [10, 1]], 19/259200],
[[[1, 7], [2, 4], [3, 1], [10, 1], [14, 1]], 1/3225600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 3]], 127/6635520],
[[[1, 7], [2, 4], [3, 2], [4, 1], [7, 1]], 17/86016],
[[[1, 7], [2, 4], [3, 2], [4, 1], [9, 1]], 1433/3981312],
[[[1, 7], [2, 4], [3, 2], [4, 1], [14, 1]], 1/13824],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1]], 2363/13271040],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 2]], 5483/31850496],
[[[1, 7], [2, 4], [3, 2], [4, 2], [8, 1]], 485/1179648],
[[[1, 7], [2, 4], [3, 2], [4, 2], [10, 1]], 5/110592],
[[[1, 7], [2, 4], [3, 2], [4, 2], [12, 1]], 95/1990656],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 1]], 8981/39813120],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 2]], 937/2488320],
[[[1, 7], [2, 4], [3, 2], [5, 1], [8, 1]], 7/331776],
[[[1, 7], [2, 4], [3, 2], [5, 1], [10, 1]], 671/4147200],
[[[1, 7], [2, 4], [3, 2], [6, 1], [7, 1]], 61/145152],
[[[1, 7], [2, 4], [3, 2], [6, 1], [9, 1]], 1417/3732480],
[[[1, 7], [2, 4], [3, 2], [6, 1], [14, 1]], 23/276480],
[[[1, 7], [2, 4], [3, 2], [6, 2], [8, 1]], 139/2211840],
[[[1, 7], [2, 4], [3, 2], [6, 2], [10, 1]], 397/8294400],
[[[1, 7], [2, 4], [3, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1]], 19/552960],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 2]], 18695/35831808],
[[[1, 7], [2, 4], [3, 3], [4, 1], [8, 1]], 193/3981312],
[[[1, 7], [2, 4], [3, 3], [4, 1], [10, 1]], 7/155520],
[[[1, 7], [2, 4], [3, 3], [4, 1], [12, 1]], 5/559872],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 1]], 2891/7962624],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 1]], 1561/11197440],
[[[1, 7], [2, 4], [3, 3], [6, 1], [8, 1]], 365/5971968],
[[[1, 7], [2, 4], [3, 3], [6, 1], [10, 1]], 49/622080],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 1]], 251/1990656],
[[[1, 7], [2, 4], [4, 1], [5, 1], [7, 1]], 1969/5160960],
[[[1, 7], [2, 4], [4, 1], [5, 1], [14, 1]], 1/11520],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 1]], 71/921600],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 2]], 31/884736],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 2]], 1/48384000],
[[[1, 7], [2, 4], [4, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 7], [2, 4], [4, 1], [6, 2], [14, 1]], 1/21676032],
[[[1, 7], [2, 4], [4, 1], [6, 2], [18, 1]], 19/46448640],
[[[1, 7], [2, 4], [4, 1], [6, 3], [8, 1]], 1/39813120],
[[[1, 7], [2, 4], [4, 1], [6, 3], [10, 1]], 1/2090188800],
[[[1, 7], [2, 4], [4, 1], [7, 1], [8, 1]], 95/258048],
[[[1, 7], [2, 4], [4, 1], [7, 1], [10, 1]], 23/268800],
[[[1, 7], [2, 4], [4, 1], [7, 1], [12, 1]], 23/483840],
[[[1, 7], [2, 4], [4, 1], [8, 1], [14, 1]], 27/573440],
[[[1, 7], [2, 4], [4, 1], [10, 1], [14, 1]], 43/180633600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 2]], 7/2764800],
[[[1, 7], [2, 4], [4, 2], [5, 1], [8, 1]], 1877/2949120],
[[[1, 7], [2, 4], [4, 2], [5, 1], [10, 1]], 13259/49152000],
[[[1, 7], [2, 4], [4, 2], [5, 1], [12, 1]], 227/2764800],
[[[1, 7], [2, 4], [4, 2], [6, 1], [7, 1]], 11/129024],
[[[1, 7], [2, 4], [4, 2], [6, 1], [14, 1]], 1/5160960],
[[[1, 7], [2, 4], [4, 2], [6, 1], [18, 1]], 1/2211840],
[[[1, 7], [2, 4], [4, 2], [6, 2], [8, 1]], 53/10616832],
[[[1, 7], [2, 4], [4, 2], [8, 1], [10, 1]], 1037/14745600],
[[[1, 7], [2, 4], [4, 2], [8, 1], [12, 1]], 241/3317760],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 1]], 59/1658880],
[[[1, 7], [2, 4], [4, 3], [6, 1], [8, 1]], 25/589824],
[[[1, 7], [2, 4], [4, 3], [6, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 4], [5, 1], [6, 1], [7, 1]], 7/138240],
[[[1, 7], [2, 4], [5, 1], [6, 2], [10, 1]], 121/8294400],
[[[1, 7], [2, 4], [5, 1], [8, 1], [10, 1]], 23/294912],
[[[1, 7], [2, 4], [6, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 7], [2, 4], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 7], [2, 4], [6, 1], [8, 1], [14, 1]], 1/5160960],
[[[1, 7], [2, 4], [6, 1], [8, 1], [18, 1]], 1/2211840],
[[[1, 7], [2, 4], [6, 1], [10, 1], [14, 1]], 1/19353600],
[[[1, 7], [2, 4], [6, 1], [10, 1], [18, 1]], 1/16588800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 3]], 1283/47775744],
[[[1, 7], [2, 6], [3, 1], [4, 1], [7, 1]], 67/1146880],
[[[1, 7], [2, 6], [3, 1], [4, 1], [9, 1]], 1007/22118400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [14, 1]], 691/15482880],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1]], 6901/88473600],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 2]], 8011/53084160],
[[[1, 7], [2, 6], [3, 1], [4, 2], [8, 1]], 199/884736],
[[[1, 7], [2, 6], [3, 1], [4, 2], [10, 1]], 37/442368],
[[[1, 7], [2, 6], [3, 1], [4, 2], [12, 1]], 73/3317760],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 1]], 56473/212336640],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 7], [2, 6], [3, 1], [5, 1], [8, 1]], 131/22118400],
[[[1, 7], [2, 6], [3, 1], [5, 1], [10, 1]], 17/204800],
[[[1, 7], [2, 6], [3, 1], [6, 1], [7, 1]], 131/1720320],
[[[1, 7], [2, 6], [3, 1], [6, 1], [9, 1]], 1151/49766400],
[[[1, 7], [2, 6], [3, 1], [6, 1], [14, 1]], 751/18579456],
[[[1, 7], [2, 6], [3, 1], [6, 1], [18, 1]], 31/4976640],
[[[1, 7], [2, 6], [3, 1], [6, 2], [8, 1]], 29/1658880],
[[[1, 7], [2, 6], [3, 1], [6, 2], [10, 1]], 431/22118400],
[[[1, 7], [2, 6], [3, 1], [8, 1], [10, 1]], 1/409600],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1]], 17/884736],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 2]], 5161/13271040],
[[[1, 7], [2, 6], [3, 2], [4, 1], [8, 1]], 2011/53084160],
[[[1, 7], [2, 6], [3, 2], [4, 1], [10, 1]], 7/184320],
[[[1, 7], [2, 6], [3, 2], [4, 1], [12, 1]], 5/1990656],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 1]], 2477/7962624],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 1]], 5869/99532800],
[[[1, 7], [2, 6], [3, 2], [6, 1], [8, 1]], 667/22118400],
[[[1, 7], [2, 6], [3, 2], [6, 1], [10, 1]], 631/8294400],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 1]], 64807/716636160],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 2]], 119/6635520],
[[[1, 7], [2, 6], [4, 1], [5, 1], [8, 1]], 729/8192000],
[[[1, 7], [2, 6], [4, 1], [5, 1], [10, 1]], 1321/6553600],
[[[1, 7], [2, 6], [4, 1], [5, 1], [12, 1]], 11/1658880],
[[[1, 7], [2, 6], [4, 1], [6, 1], [7, 1]], 811/15482880],
[[[1, 7], [2, 6], [4, 1], [6, 1], [14, 1]], 223/48168960],
[[[1, 7], [2, 6], [4, 1], [6, 1], [18, 1]], 5507/928972800],
[[[1, 7], [2, 6], [4, 1], [6, 2], [8, 1]], 433/21233664],
[[[1, 7], [2, 6], [4, 1], [6, 2], [10, 1]], 2059/1393459200],
[[[1, 7], [2, 6], [4, 1], [6, 2], [12, 1]], 1/3981312],
[[[1, 7], [2, 6], [4, 1], [8, 1], [10, 1]], 6523/88473600],
[[[1, 7], [2, 6], [4, 1], [10, 1], [12, 1]], 1/1105920],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 1]], 131/1382400],
[[[1, 7], [2, 6], [4, 2], [6, 1], [8, 1]], 1801/13271040],
[[[1, 7], [2, 6], [4, 2], [6, 1], [10, 1]], 1963/88473600],
[[[1, 7], [2, 6], [4, 2], [6, 1], [12, 1]], 5/663552],
[[[1, 7], [2, 6], [5, 1], [6, 1], [8, 1]], 1/221184],
[[[1, 7], [2, 6], [5, 1], [6, 1], [10, 1]], 4001/66355200],
[[[1, 7], [2, 6], [6, 1], [8, 1], [10, 1]], 23/22118400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1]], 589/123863040],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 2]], 34003/398131200],
[[[1, 7], [2, 8], [3, 1], [4, 1], [8, 1]], 10717/530841600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [10, 1]], 47/2304000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [12, 1]], 1/3317760],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 1]], 116263/849346560],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 1]], 727/44236800],
[[[1, 7], [2, 8], [3, 1], [6, 1], [8, 1]], 569/66355200],
[[[1, 7], [2, 8], [3, 1], [6, 1], [10, 1]], 3287/132710400],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 1]], 89507/1857945600],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 1]], 679/33177600],
[[[1, 7], [2, 8], [4, 1], [6, 1], [8, 1]], 33547/1238630400],
[[[1, 7], [2, 8], [4, 1], [6, 1], [10, 1]], 542893/27869184000],
[[[1, 7], [2, 8], [4, 1], [6, 1], [12, 1]], 41/34836480],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 1]], 3706769/178362777600],
[[[1, 7], [3, 1], [4, 1], [5, 2], [8, 1]], 1/115200],
[[[1, 7], [3, 1], [4, 2], [5, 1], [7, 1]], 1/64512],
[[[1, 7], [3, 1], [4, 2], [5, 1], [9, 1]], 17/5529600],
[[[1, 7], [3, 1], [4, 2], [7, 1], [12, 1]], 1/48384],
[[[1, 7], [3, 1], [4, 2], [9, 1], [12, 1]], 1/103680],
[[[1, 7], [3, 2], [4, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 7], [3, 2], [4, 1], [8, 1], [9, 1]], 7/414720],
[[[1, 7], [3, 2], [4, 2], [5, 1], [12, 1]], 1/51840],
[[[1, 7], [3, 3], [4, 1], [5, 1], [8, 1]], 13/1244160],
[[[1, 7], [4, 1], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 8], [2, 1], [3, 1], [4, 1], [11, 1]], 191/4055040],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2]], 1/102400],
[[[1, 8], [2, 1], [3, 1], [4, 2], [8, 2]], 1/184320],
[[[1, 8], [2, 1], [3, 1], [4, 3], [7, 1]], 253/30965760],
[[[1, 8], [2, 1], [3, 1], [4, 3], [9, 1]], 29/13271040],
[[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1]], 1/8847360],
[[[1, 8], [2, 1], [3, 1], [5, 1], [8, 2]], 1/184320],
[[[1, 8], [2, 1], [3, 1], [5, 1], [16, 1]], 1/345600],
[[[1, 8], [2, 1], [3, 1], [5, 2], [8, 1]], 1/184320],
[[[1, 8], [2, 1], [3, 1], [5, 2], [10, 1]], 1/23040],
[[[1, 8], [2, 1], [3, 1], [6, 1], [11, 1]], 1/38016],
[[[1, 8], [2, 1], [3, 1], [7, 1], [9, 1]], 1/7560],
[[[1, 8], [2, 1], [3, 1], [7, 1], [14, 1]], 1/3870720],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2]], 11/86400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 2]], 1/442368],
[[[1, 8], [2, 1], [3, 2], [4, 2], [7, 1]], 1/86016],
[[[1, 8], [2, 1], [3, 2], [4, 2], [9, 1]], 23/2211840],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1]], 37/3317760],
[[[1, 8], [2, 1], [3, 2], [4, 3], [8, 1]], 3/655360],
[[[1, 8], [2, 1], [3, 2], [4, 3], [12, 1]], 1/165888],
[[[1, 8], [2, 1], [3, 2], [4, 4], [6, 1]], 1/26542080],
[[[1, 8], [2, 1], [3, 2], [5, 1], [7, 1]], 19/80640],
[[[1, 8], [2, 1], [3, 2], [5, 1], [9, 1]], 91/414720],
[[[1, 8], [2, 1], [3, 2], [5, 2], [6, 1]], 1/13824],
[[[1, 8], [2, 1], [3, 2], [6, 1], [8, 2]], 1/552960],
[[[1, 8], [2, 1], [3, 2], [7, 1], [8, 1]], 1/86016],
[[[1, 8], [2, 1], [3, 2], [8, 1], [9, 1]], 13/1658880],
[[[1, 8], [2, 1], [3, 3], [4, 1], [7, 1]], 43/870912],
[[[1, 8], [2, 1], [3, 3], [4, 1], [9, 1]], 61/622080],
[[[1, 8], [2, 1], [3, 3], [4, 1], [14, 1]], 1/1088640],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1]], 13/1658880],
[[[1, 8], [2, 1], [3, 3], [4, 2], [8, 1]], 41/9953280],
[[[1, 8], [2, 1], [3, 3], [4, 2], [12, 1]], 1/186624],
[[[1, 8], [2, 1], [3, 3], [4, 3], [6, 1]], 1/44789760],
[[[1, 8], [2, 1], [3, 3], [5, 1], [8, 1]], 49/4976640],
[[[1, 8], [2, 1], [3, 3], [5, 1], [10, 1]], 1/77760],
[[[1, 8], [2, 1], [3, 3], [6, 1], [7, 1]], 13/145152],
[[[1, 8], [2, 1], [3, 3], [6, 1], [9, 1]], 11/155520],
[[[1, 8], [2, 1], [3, 3], [8, 1], [10, 1]], 1/1555200],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1]], 29/933120],
[[[1, 8], [2, 1], [3, 4], [4, 1], [8, 1]], 115/5971968],
[[[1, 8], [2, 1], [3, 4], [4, 1], [10, 1]], 1/1244160],
[[[1, 8], [2, 1], [3, 4], [4, 1], [12, 1]], 1/746496],
[[[1, 8], [2, 1], [3, 4], [4, 2], [6, 1]], 1/331776],
[[[1, 8], [2, 1], [3, 4], [5, 1], [6, 1]], 23/311040],
[[[1, 8], [2, 1], [3, 4], [6, 1], [8, 1]], 1/1492992],
[[[1, 8], [2, 1], [3, 5], [4, 1], [6, 1]], 1/1119744],
[[[1, 8], [2, 1], [4, 1], [5, 1], [8, 2]], 1/614400],
[[[1, 8], [2, 1], [4, 1], [5, 2], [8, 1]], 1/25600],
[[[1, 8], [2, 1], [4, 1], [5, 2], [10, 1]], 1/384000],
[[[1, 8], [2, 1], [4, 1], [5, 2], [12, 1]], 1/230400],
[[[1, 8], [2, 1], [4, 1], [6, 1], [11, 1]], 1/608256],
[[[1, 8], [2, 1], [4, 1], [7, 1], [14, 1]], 3/5619712],
[[[1, 8], [2, 1], [4, 2], [5, 1], [7, 1]], 37/8601600],
[[[1, 8], [2, 1], [4, 2], [7, 1], [8, 1]], 71/18063360],
[[[1, 8], [2, 1], [4, 2], [7, 1], [12, 1]], 1/161280],
[[[1, 8], [2, 1], [4, 3], [5, 1], [8, 1]], 11/14745600],
[[[1, 8], [2, 1], [4, 3], [5, 1], [12, 1]], 1/230400],
[[[1, 8], [2, 1], [4, 3], [6, 1], [7, 1]], 1/81285120],
[[[1, 8], [2, 1], [4, 3], [8, 1], [12, 1]], 1/552960],
[[[1, 8], [2, 1], [5, 1], [7, 1], [8, 1]], 1/430080],
[[[1, 8], [2, 1], [5, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 8], [2, 1], [5, 2], [6, 1], [8, 1]], 1/460800],
[[[1, 8], [2, 1], [7, 1], [8, 1], [10, 1]], 1/2822400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2]], 737/2764800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 2]], 11/294912],
[[[1, 8], [2, 3], [3, 1], [4, 1], [16, 1]], 1/92160],
[[[1, 8], [2, 3], [3, 1], [4, 2], [7, 1]], 103/368640],
[[[1, 8], [2, 3], [3, 1], [4, 2], [9, 1]], 203/1658880],
[[[1, 8], [2, 3], [3, 1], [4, 2], [14, 1]], 1/161280],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1]], 1129/7962624],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 2]], 1/19906560],
[[[1, 8], [2, 3], [3, 1], [4, 3], [8, 1]], 257/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 3], [10, 1]], 1/184320],
[[[1, 8], [2, 3], [3, 1], [4, 3], [12, 1]], 1/36864],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 1]], 209/53084160],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 3]], 1/622080],
[[[1, 8], [2, 3], [3, 1], [5, 1], [7, 1]], 33/143360],
[[[1, 8], [2, 3], [3, 1], [5, 1], [9, 1]], 239/1843200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 1]], 19/115200],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 2]], 1/294912],
[[[1, 8], [2, 3], [3, 1], [6, 1], [16, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 1], [6, 2], [7, 1]], 17/1935360],
[[[1, 8], [2, 3], [3, 1], [6, 2], [9, 1]], 1/233280],
[[[1, 8], [2, 3], [3, 1], [7, 1], [8, 1]], 137/3096576],
[[[1, 8], [2, 3], [3, 1], [7, 1], [10, 1]], 1/33600],
[[[1, 8], [2, 3], [3, 1], [8, 1], [9, 1]], 149/6635520],
[[[1, 8], [2, 3], [3, 1], [9, 1], [10, 1]], 1/64800],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 3]], 1/1327104],
[[[1, 8], [2, 3], [3, 2], [4, 1], [7, 1]], 841/3096576],
[[[1, 8], [2, 3], [3, 2], [4, 1], [9, 1]], 5941/19906560],
[[[1, 8], [2, 3], [3, 2], [4, 1], [14, 1]], 1/64512],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1]], 203/737280],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 2]], 623/53084160],
[[[1, 8], [2, 3], [3, 2], [4, 2], [8, 1]], 1085/3538944],
[[[1, 8], [2, 3], [3, 2], [4, 2], [10, 1]], 1/69120],
[[[1, 8], [2, 3], [3, 2], [4, 2], [12, 1]], 5/165888],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 1]], 1271/39813120],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 2]], 3287/24883200],
[[[1, 8], [2, 3], [3, 2], [5, 1], [8, 1]], 61/1658880],
[[[1, 8], [2, 3], [3, 2], [5, 1], [10, 1]], 19/184320],
[[[1, 8], [2, 3], [3, 2], [6, 1], [7, 1]], 1481/3870720],
[[[1, 8], [2, 3], [3, 2], [6, 1], [9, 1]], 167/829440],
[[[1, 8], [2, 3], [3, 2], [6, 1], [14, 1]], 1/120960],
[[[1, 8], [2, 3], [3, 2], [6, 2], [8, 1]], 7/442368],
[[[1, 8], [2, 3], [3, 2], [6, 2], [10, 1]], 1/259200],
[[[1, 8], [2, 3], [3, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1]], 7309/59719680],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 2]], 1187/11943936],
[[[1, 8], [2, 3], [3, 3], [4, 1], [8, 1]], 871/7962624],
[[[1, 8], [2, 3], [3, 3], [4, 1], [10, 1]], 19/1555200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [12, 1]], 53/5598720],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 1]], 16561/119439360],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 1]], 1403/4976640],
[[[1, 8], [2, 3], [3, 3], [6, 1], [8, 1]], 257/6635520],
[[[1, 8], [2, 3], [3, 3], [6, 1], [10, 1]], 121/9331200],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 1]], 1001/5971968],
[[[1, 8], [2, 3], [4, 1], [5, 1], [7, 1]], 1193/3686400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [14, 1]], 1/89600],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 1]], 301/18432000],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 2]], 17/2211840],
[[[1, 8], [2, 3], [4, 1], [6, 2], [7, 1]], 1/564480],
[[[1, 8], [2, 3], [4, 1], [6, 2], [18, 1]], 1/139345920],
[[[1, 8], [2, 3], [4, 1], [7, 1], [8, 1]], 421/1720320],
[[[1, 8], [2, 3], [4, 1], [7, 1], [10, 1]], 109/5644800],
[[[1, 8], [2, 3], [4, 1], [7, 1], [12, 1]], 221/10160640],
[[[1, 8], [2, 3], [4, 1], [8, 1], [14, 1]], 1/322560],
[[[1, 8], [2, 3], [4, 1], [10, 1], [14, 1]], 1/180633600],
[[[1, 8], [2, 3], [4, 2], [5, 1], [8, 1]], 1357/4915200],
[[[1, 8], [2, 3], [4, 2], [5, 1], [10, 1]], 2353/49152000],
[[[1, 8], [2, 3], [4, 2], [5, 1], [12, 1]], 23/691200],
[[[1, 8], [2, 3], [4, 2], [6, 1], [7, 1]], 1/73728],
[[[1, 8], [2, 3], [4, 2], [6, 1], [14, 1]], 1/216760320],
[[[1, 8], [2, 3], [4, 2], [6, 1], [18, 1]], 1/92897280],
[[[1, 8], [2, 3], [4, 2], [6, 2], [8, 1]], 1/371589120],
[[[1, 8], [2, 3], [4, 2], [8, 1], [10, 1]], 1009/103219200],
[[[1, 8], [2, 3], [4, 2], [8, 1], [12, 1]], 17/1105920],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 1]], 77/22118400],
[[[1, 8], [2, 3], [4, 3], [6, 1], [8, 1]], 5/1769472],
[[[1, 8], [2, 3], [4, 3], [6, 1], [12, 1]], 1/1658880],
[[[1, 8], [2, 3], [5, 1], [6, 1], [7, 1]], 37/3225600],
[[[1, 8], [2, 3], [5, 1], [6, 2], [10, 1]], 1/829440],
[[[1, 8], [2, 3], [5, 1], [8, 1], [10, 1]], 187/12288000],
[[[1, 8], [2, 3], [6, 1], [7, 1], [8, 1]], 37/3386880],
[[[1, 8], [2, 3], [6, 1], [7, 1], [10, 1]], 1/201600],
[[[1, 8], [2, 3], [6, 1], [10, 1], [18, 1]], 1/928972800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 3]], 1181/185794560],
[[[1, 8], [2, 5], [3, 1], [4, 1], [7, 1]], 18653/123863040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [9, 1]], 22337/265420800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [14, 1]], 59/1720320],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1]], 18509/88473600],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 2]], 1061/26542080],
[[[1, 8], [2, 5], [3, 1], [4, 2], [8, 1]], 73/245760],
[[[1, 8], [2, 5], [3, 1], [4, 2], [10, 1]], 49/1228800],
[[[1, 8], [2, 5], [3, 1], [4, 2], [12, 1]], 19/663552],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 1]], 96911/637009920],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 2]], 1/30720],
[[[1, 8], [2, 5], [3, 1], [5, 1], [8, 1]], 5251/331776000],
[[[1, 8], [2, 5], [3, 1], [5, 1], [10, 1]], 3761/44236800],
[[[1, 8], [2, 5], [3, 1], [6, 1], [7, 1]], 7969/61931520],
[[[1, 8], [2, 5], [3, 1], [6, 1], [9, 1]], 143/7464960],
[[[1, 8], [2, 5], [3, 1], [6, 1], [14, 1]], 9/573440],
[[[1, 8], [2, 5], [3, 1], [6, 1], [18, 1]], 1/3317760],
[[[1, 8], [2, 5], [3, 1], [6, 2], [8, 1]], 127/13271040],
[[[1, 8], [2, 5], [3, 1], [6, 2], [10, 1]], 3/409600],
[[[1, 8], [2, 5], [3, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1]], 1787/22118400],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 2]], 5117/19906560],
[[[1, 8], [2, 5], [3, 2], [4, 1], [8, 1]], 15737/212336640],
[[[1, 8], [2, 5], [3, 2], [4, 1], [10, 1]], 289/6635520],
[[[1, 8], [2, 5], [3, 2], [4, 1], [12, 1]], 29/3981312],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 1]], 2273/5898240],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 1]], 59291/398131200],
[[[1, 8], [2, 5], [3, 2], [6, 1], [8, 1]], 257/6635520],
[[[1, 8], [2, 5], [3, 2], [6, 1], [10, 1]], 407/8294400],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 1]], 53623/238878720],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 2]], 1/102400],
[[[1, 8], [2, 5], [4, 1], [5, 1], [8, 1]], 18899/176947200],
[[[1, 8], [2, 5], [4, 1], [5, 1], [10, 1]], 83987/619315200],
[[[1, 8], [2, 5], [4, 1], [5, 1], [12, 1]], 19/1843200],
[[[1, 8], [2, 5], [4, 1], [6, 1], [7, 1]], 4541/108380160],
[[[1, 8], [2, 5], [4, 1], [6, 1], [14, 1]], 43/216760320],
[[[1, 8], [2, 5], [4, 1], [6, 1], [18, 1]], 17/55738368],
[[[1, 8], [2, 5], [4, 1], [6, 2], [8, 1]], 47/6635520],
[[[1, 8], [2, 5], [4, 1], [6, 2], [10, 1]], 1/30965760],
[[[1, 8], [2, 5], [4, 1], [8, 1], [10, 1]], 25/884736],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 1]], 283/5529600],
[[[1, 8], [2, 5], [4, 2], [6, 1], [8, 1]], 8789/185794560],
[[[1, 8], [2, 5], [4, 2], [6, 1], [10, 1]], 173/30965760],
[[[1, 8], [2, 5], [4, 2], [6, 1], [12, 1]], 1/331776],
[[[1, 8], [2, 5], [5, 1], [6, 1], [8, 1]], 61/11059200],
[[[1, 8], [2, 5], [5, 1], [6, 1], [10, 1]], 401/16588800],
[[[1, 8], [2, 5], [6, 1], [8, 1], [10, 1]], 1/22118400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1]], 542893/27869184000],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 2]], 89507/1857945600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [8, 1]], 33547/1238630400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [10, 1]], 679/33177600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [12, 1]], 41/34836480],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 1]], 116263/849346560],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 1]], 3287/132710400],
[[[1, 8], [2, 7], [3, 1], [6, 1], [8, 1]], 569/66355200],
[[[1, 8], [2, 7], [3, 1], [6, 1], [10, 1]], 727/44236800],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 1]], 34003/398131200],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 1]], 47/2304000],
[[[1, 8], [2, 7], [4, 1], [6, 1], [8, 1]], 10717/530841600],
[[[1, 8], [2, 7], [4, 1], [6, 1], [10, 1]], 589/123863040],
[[[1, 8], [2, 7], [4, 1], [6, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 1]], 4373003/208089907200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2]], 107/921600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 2]], 1/294912],
[[[1, 9], [2, 2], [3, 1], [4, 1], [16, 1]], 1/1935360],
[[[1, 9], [2, 2], [3, 1], [4, 2], [7, 1]], 7439/144506880],
[[[1, 9], [2, 2], [3, 1], [4, 2], [9, 1]], 97/8847360],
[[[1, 9], [2, 2], [3, 1], [4, 2], [14, 1]], 1/3386880],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1]], 1159/132710400],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 2]], 1/557383680],
[[[1, 9], [2, 2], [3, 1], [4, 3], [8, 1]], 571/123863040],
[[[1, 9], [2, 2], [3, 1], [4, 3], [12, 1]], 1/276480],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 1]], 37/2229534720],
[[[1, 9], [2, 2], [3, 1], [5, 1], [7, 1]], 2851/19353600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [9, 1]], 11299/232243200],
[[[1, 9], [2, 2], [3, 1], [5, 1], [14, 1]], 1/604800],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 1]], 859/20736000],
[[[1, 9], [2, 2], [3, 1], [6, 1], [8, 2]], 1/2211840],
[[[1, 9], [2, 2], [3, 1], [6, 1], [16, 1]], 1/7741440],
[[[1, 9], [2, 2], [3, 1], [6, 2], [7, 1]], 13/20321280],
[[[1, 9], [2, 2], [3, 1], [6, 2], [9, 1]], 1/3732480],
[[[1, 9], [2, 2], [3, 1], [7, 1], [8, 1]], 23/2580480],
[[[1, 9], [2, 2], [3, 1], [7, 1], [10, 1]], 13/5644800],
[[[1, 9], [2, 2], [3, 1], [8, 1], [9, 1]], 11/3317760],
[[[1, 9], [2, 2], [3, 1], [9, 1], [10, 1]], 1/1036800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [7, 1]], 43/368640],
[[[1, 9], [2, 2], [3, 2], [4, 1], [9, 1]], 53/737280],
[[[1, 9], [2, 2], [3, 2], [4, 1], [14, 1]], 1/1451520],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1]], 1193/16588800],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 2]], 1/17694720],
[[[1, 9], [2, 2], [3, 2], [4, 2], [8, 1]], 2689/53084160],
[[[1, 9], [2, 2], [3, 2], [4, 2], [10, 1]], 1/552960],
[[[1, 9], [2, 2], [3, 2], [4, 2], [12, 1]], 1/165888],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 1]], 107/47775744],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 2]], 911/74649600],
[[[1, 9], [2, 2], [3, 2], [5, 1], [8, 1]], 13/1105920],
[[[1, 9], [2, 2], [3, 2], [5, 1], [10, 1]], 431/20736000],
[[[1, 9], [2, 2], [3, 2], [6, 1], [7, 1]], 17/161280],
[[[1, 9], [2, 2], [3, 2], [6, 1], [9, 1]], 17/497664],
[[[1, 9], [2, 2], [3, 2], [6, 2], [8, 1]], 1/829440],
[[[1, 9], [2, 2], [3, 2], [8, 1], [10, 1]], 1/2073600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1]], 977/9953280],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 2]], 7/3317760],
[[[1, 9], [2, 2], [3, 3], [4, 1], [8, 1]], 89/1990656],
[[[1, 9], [2, 2], [3, 3], [4, 1], [10, 1]], 1/518400],
[[[1, 9], [2, 2], [3, 3], [4, 1], [12, 1]], 1/311040],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 1]], 551/79626240],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 1]], 4547/37324800],
[[[1, 9], [2, 2], [3, 3], [6, 1], [8, 1]], 19/3981312],
[[[1, 9], [2, 2], [3, 3], [6, 1], [10, 1]], 1/2332800],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 1]], 1205/35831808],
[[[1, 9], [2, 2], [4, 1], [5, 1], [7, 1]], 2323/25804800],
[[[1, 9], [2, 2], [4, 1], [5, 1], [14, 1]], 1/2822400],
[[[1, 9], [2, 2], [4, 1], [5, 2], [6, 1]], 1/614400],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 2]], 1/2211840],
[[[1, 9], [2, 2], [4, 1], [7, 1], [8, 1]], 1823/36126720],
[[[1, 9], [2, 2], [4, 1], [7, 1], [10, 1]], 23/11289600],
[[[1, 9], [2, 2], [4, 1], [7, 1], [12, 1]], 23/6773760],
[[[1, 9], [2, 2], [4, 2], [5, 1], [8, 1]], 881/34406400],
[[[1, 9], [2, 2], [4, 2], [5, 1], [10, 1]], 283/129024000],
[[[1, 9], [2, 2], [4, 2], [5, 1], [12, 1]], 1/230400],
[[[1, 9], [2, 2], [4, 2], [6, 1], [7, 1]], 1/1204224],
[[[1, 9], [2, 2], [4, 2], [8, 1], [10, 1]], 1/1843200],
[[[1, 9], [2, 2], [4, 2], [8, 1], [12, 1]], 1/1105920],
[[[1, 9], [2, 2], [4, 3], [5, 1], [6, 1]], 1/116121600],
[[[1, 9], [2, 2], [5, 1], [6, 1], [7, 1]], 37/67737600],
[[[1, 9], [2, 2], [5, 1], [8, 1], [10, 1]], 239/258048000],
[[[1, 9], [2, 2], [6, 1], [7, 1], [8, 1]], 23/13547520],
[[[1, 9], [2, 2], [6, 1], [7, 1], [10, 1]], 1/4233600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 3]], 19/37158912],
[[[1, 9], [2, 4], [3, 1], [4, 1], [7, 1]], 43/294912],
[[[1, 9], [2, 4], [3, 1], [4, 1], [9, 1]], 2069/39813120],
[[[1, 9], [2, 4], [3, 1], [4, 1], [14, 1]], 1/138240],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1]], 51689/265420800],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 2]], 5351/1114767360],
[[[1, 9], [2, 4], [3, 1], [4, 2], [8, 1]], 1477/8847360],
[[[1, 9], [2, 4], [3, 1], [4, 2], [10, 1]], 19/1935360],
[[[1, 9], [2, 4], [3, 1], [4, 2], [12, 1]], 989/69672960],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 1]], 112043/4459069440],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 2]], 197/24883200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [8, 1]], 1009/66355200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [10, 1]], 3377/82944000],
[[[1, 9], [2, 4], [3, 1], [6, 1], [7, 1]], 28633/325140480],
[[[1, 9], [2, 4], [3, 1], [6, 1], [9, 1]], 167/29859840],
[[[1, 9], [2, 4], [3, 1], [6, 1], [14, 1]], 1793/867041280],
[[[1, 9], [2, 4], [3, 1], [6, 2], [8, 1]], 89/30965760],
[[[1, 9], [2, 4], [3, 1], [6, 2], [10, 1]], 1793/1857945600],
[[[1, 9], [2, 4], [3, 1], [8, 1], [10, 1]], 1/1382400],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1]], 23/163840],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 2]], 6493/104509440],
[[[1, 9], [2, 4], [3, 2], [4, 1], [8, 1]], 4283/53084160],
[[[1, 9], [2, 4], [3, 2], [4, 1], [10, 1]], 23/1658880],
[[[1, 9], [2, 4], [3, 2], [4, 1], [12, 1]], 91/14929920],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 1]], 4021/26542080],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 1]], 9553/59719680],
[[[1, 9], [2, 4], [3, 2], [6, 1], [8, 1]], 751/39813120],
[[[1, 9], [2, 4], [3, 2], [6, 1], [10, 1]], 23/2073600],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 1]], 15299/79626240],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 2]], 19/9676800],
[[[1, 9], [2, 4], [4, 1], [5, 1], [8, 1]], 5/65536],
[[[1, 9], [2, 4], [4, 1], [5, 1], [10, 1]], 127903/3096576000],
[[[1, 9], [2, 4], [4, 1], [5, 1], [12, 1]], 169/29030400],
[[[1, 9], [2, 4], [4, 1], [6, 1], [7, 1]], 1243/108380160],
[[[1, 9], [2, 4], [4, 1], [6, 1], [14, 1]], 1/346816512],
[[[1, 9], [2, 4], [4, 1], [6, 1], [18, 1]], 1/148635648],
[[[1, 9], [2, 4], [4, 1], [6, 2], [8, 1]], 3137/2972712960],
[[[1, 9], [2, 4], [4, 1], [8, 1], [10, 1]], 239/55050240],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 1]], 121/11059200],
[[[1, 9], [2, 4], [4, 2], [6, 1], [8, 1]], 967/123863040],
[[[1, 9], [2, 4], [4, 2], [6, 1], [10, 1]], 113/309657600],
[[[1, 9], [2, 4], [4, 2], [6, 1], [12, 1]], 1/1658880],
[[[1, 9], [2, 4], [5, 1], [6, 1], [8, 1]], 19/6451200],
[[[1, 9], [2, 4], [5, 1], [6, 1], [10, 1]], 4267/1032192000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1]], 130319/2654208000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 2]], 15551/743178240],
[[[1, 9], [2, 6], [3, 1], [4, 1], [8, 1]], 238249/7431782400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [10, 1]], 161/9830400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [12, 1]], 41/19906560],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 1]], 1966253/17836277760],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 1]], 147353/3981312000],
[[[1, 9], [2, 6], [3, 1], [6, 1], [8, 1]], 8651/1238630400],
[[[1, 9], [2, 6], [3, 1], [6, 1], [10, 1]], 32509/3715891200],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 1]], 588533/4777574400],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 1]], 211/12902400],
[[[1, 9], [2, 6], [4, 1], [6, 1], [8, 1]], 28589/2972712960],
[[[1, 9], [2, 6], [4, 1], [6, 1], [10, 1]], 517/275251200],
[[[1, 9], [2, 6], [4, 1], [6, 1], [12, 1]], 1/6635520],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 1]], 4373003/208089907200],
[[[1, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 13/9031680],
[[[1, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 1/1658880],
[[[1, 9], [3, 1], [4, 2], [5, 1], [12, 1]], 1/1036800],
[[[1, 9], [3, 2], [4, 1], [5, 1], [8, 1]], 7/4147200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2]], 281/27648000],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 2]], 1/15482880],
[[[1, 10], [2, 1], [3, 1], [4, 2], [7, 1]], 61/72253440],
[[[1, 10], [2, 1], [3, 1], [4, 2], [9, 1]], 1/4423680],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1]], 109/185794560],
[[[1, 10], [2, 1], [3, 1], [4, 3], [8, 1]], 1/5898240],
[[[1, 10], [2, 1], [3, 1], [4, 3], [12, 1]], 1/5806080],
[[[1, 10], [2, 1], [3, 1], [4, 4], [6, 1]], 1/2972712960],
[[[1, 10], [2, 1], [3, 1], [5, 1], [7, 1]], 193/6451200],
[[[1, 10], [2, 1], [3, 1], [5, 1], [9, 1]], 149/23224320],
[[[1, 10], [2, 1], [3, 1], [5, 2], [6, 1]], 1/345600],
[[[1, 10], [2, 1], [3, 1], [6, 1], [8, 2]], 1/61931520],
[[[1, 10], [2, 1], [3, 1], [7, 1], [8, 1]], 17/36126720],
[[[1, 10], [2, 1], [3, 1], [8, 1], [9, 1]], 1/6635520],
[[[1, 10], [2, 1], [3, 2], [4, 1], [7, 1]], 4321/325140480],
[[[1, 10], [2, 1], [3, 2], [4, 1], [9, 1]], 125/27869184],
[[[1, 10], [2, 1], [3, 2], [4, 1], [14, 1]], 1/40642560],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1]], 11/7372800],
[[[1, 10], [2, 1], [3, 2], [4, 2], [8, 1]], 173/371589120],
[[[1, 10], [2, 1], [3, 2], [4, 2], [12, 1]], 1/2488320],
[[[1, 10], [2, 1], [3, 2], [4, 3], [6, 1]], 1/1672151040],
[[[1, 10], [2, 1], [3, 2], [5, 1], [8, 1]], 13/16588800],
[[[1, 10], [2, 1], [3, 2], [5, 1], [10, 1]], 11/8294400],
[[[1, 10], [2, 1], [3, 2], [6, 1], [7, 1]], 131/16257024],
[[[1, 10], [2, 1], [3, 2], [6, 1], [9, 1]], 1/544320],
[[[1, 10], [2, 1], [3, 2], [8, 1], [10, 1]], 1/58060800],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1]], 881/59719680],
[[[1, 10], [2, 1], [3, 3], [4, 1], [8, 1]], 539/119439360],
[[[1, 10], [2, 1], [3, 3], [4, 1], [10, 1]], 1/6220800],
[[[1, 10], [2, 1], [3, 3], [4, 1], [12, 1]], 1/3732480],
[[[1, 10], [2, 1], [3, 3], [4, 2], [6, 1]], 1/2949120],
[[[1, 10], [2, 1], [3, 3], [5, 1], [6, 1]], 31/2764800],
[[[1, 10], [2, 1], [3, 3], [6, 1], [8, 1]], 1/7464960],
[[[1, 10], [2, 1], [3, 4], [4, 1], [6, 1]], 37/179159040],
[[[1, 10], [2, 1], [4, 1], [5, 1], [7, 1]], 1139/180633600],
[[[1, 10], [2, 1], [4, 1], [5, 1], [14, 1]], 1/101606400],
[[[1, 10], [2, 1], [4, 1], [5, 2], [6, 1]], 1/11059200],
[[[1, 10], [2, 1], [4, 1], [7, 1], [8, 1]], 53/18063360],
[[[1, 10], [2, 1], [4, 1], [7, 1], [10, 1]], 1/11289600],
[[[1, 10], [2, 1], [4, 1], [7, 1], [12, 1]], 1/6773760],
[[[1, 10], [2, 1], [4, 2], [5, 1], [8, 1]], 253/928972800],
[[[1, 10], [2, 1], [4, 2], [5, 1], [10, 1]], 1/29491200],
[[[1, 10], [2, 1], [4, 2], [5, 1], [12, 1]], 1/4838400],
[[[1, 10], [2, 1], [4, 3], [5, 1], [6, 1]], 1/4180377600],
[[[1, 10], [2, 1], [5, 1], [8, 1], [10, 1]], 1/145152000],
[[[1, 10], [2, 1], [6, 1], [7, 1], [8, 1]], 1/13547520],
[[[1, 10], [2, 3], [3, 1], [4, 1], [7, 1]], 8137/144506880],
[[[1, 10], [2, 3], [3, 1], [4, 1], [9, 1]], 6961/557383680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [14, 1]], 1/2257920],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1]], 3623/68812800],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 2]], 1/4644864],
[[[1, 10], [2, 3], [3, 1], [4, 2], [8, 1]], 3851/123863040],
[[[1, 10], [2, 3], [3, 1], [4, 2], [10, 1]], 23/19353600],
[[[1, 10], [2, 3], [3, 1], [4, 2], [12, 1]], 1/387072],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 1]], 679/637009920],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 2]], 19/24883200],
[[[1, 10], [2, 3], [3, 1], [5, 1], [8, 1]], 311/66355200],
[[[1, 10], [2, 3], [3, 1], [5, 1], [10, 1]], 301/36864000],
[[[1, 10], [2, 3], [3, 1], [6, 1], [7, 1]], 1721/72253440],
[[[1, 10], [2, 3], [3, 1], [6, 1], [9, 1]], 1/1658880],
[[[1, 10], [2, 3], [3, 1], [6, 1], [14, 1]], 1/13547520],
[[[1, 10], [2, 3], [3, 1], [6, 2], [8, 1]], 1/3096576],
[[[1, 10], [2, 3], [3, 1], [6, 2], [10, 1]], 1/29030400],
[[[1, 10], [2, 3], [3, 1], [8, 1], [10, 1]], 1/9676800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1]], 3323/39813120],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 2]], 1399/278691840],
[[[1, 10], [2, 3], [3, 2], [4, 1], [8, 1]], 21463/743178240],
[[[1, 10], [2, 3], [3, 2], [4, 1], [10, 1]], 439/232243200],
[[[1, 10], [2, 3], [3, 2], [4, 1], [12, 1]], 799/418037760],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 1]], 18577/1114767360],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 1]], 28127/464486400],
[[[1, 10], [2, 3], [3, 2], [6, 1], [8, 1]], 299/92897280],
[[[1, 10], [2, 3], [3, 2], [6, 1], [10, 1]], 73/87091200],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 1]], 787/15925248],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 2]], 127/1045094400],
[[[1, 10], [2, 3], [4, 1], [5, 1], [8, 1]], 12793/619315200],
[[[1, 10], [2, 3], [4, 1], [5, 1], [10, 1]], 27391/5308416000],
[[[1, 10], [2, 3], [4, 1], [5, 1], [12, 1]], 193/149299200],
[[[1, 10], [2, 3], [4, 1], [6, 1], [7, 1]], 31/21676032],
[[[1, 10], [2, 3], [4, 1], [6, 2], [8, 1]], 1/19906560],
[[[1, 10], [2, 3], [4, 1], [8, 1], [10, 1]], 17/77414400],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 1]], 29/25804800],
[[[1, 10], [2, 3], [4, 2], [6, 1], [8, 1]], 11/17694720],
[[[1, 10], [2, 3], [4, 2], [6, 1], [12, 1]], 1/23224320],
[[[1, 10], [2, 3], [5, 1], [6, 1], [8, 1]], 451/696729600],
[[[1, 10], [2, 3], [5, 1], [6, 1], [10, 1]], 11/43008000],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1]], 339683/6193152000],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 2]], 19571/4459069440],
[[[1, 10], [2, 5], [3, 1], [4, 1], [8, 1]], 6719/297271296],
[[[1, 10], [2, 5], [3, 1], [4, 1], [10, 1]], 1207/232243200],
[[[1, 10], [2, 5], [3, 1], [4, 1], [12, 1]], 191/139345920],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 1]], 4061/106168320],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 1]], 21779/796262400],
[[[1, 10], [2, 5], [3, 1], [6, 1], [8, 1]], 4397/1486356480],
[[[1, 10], [2, 5], [3, 1], [6, 1], [10, 1]], 7859/3715891200],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 1]], 175703/2229534720],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 1]], 44789/8360755200],
[[[1, 10], [2, 5], [4, 1], [6, 1], [8, 1]], 20941/8918138880],
[[[1, 10], [2, 5], [4, 1], [6, 1], [10, 1]], 77/212336640],
[[[1, 10], [2, 5], [4, 1], [6, 1], [12, 1]], 1/19906560],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 1]], 3706769/178362777600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [7, 1]], 193/24084480],
[[[1, 11], [2, 2], [3, 1], [4, 1], [9, 1]], 331/278691840],
[[[1, 11], [2, 2], [3, 1], [4, 1], [14, 1]], 1/121927680],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1]], 20897/5573836800],
[[[1, 11], [2, 2], [3, 1], [4, 2], [8, 1]], 1843/1114767360],
[[[1, 11], [2, 2], [3, 1], [4, 2], [10, 1]], 1/19353600],
[[[1, 11], [2, 2], [3, 1], [4, 2], [12, 1]], 1/5806080],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 1]], 463/20065812480],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 2]], 11/391910400],
[[[1, 11], [2, 2], [3, 1], [5, 1], [8, 1]], 79/154828800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [10, 1]], 2287/3483648000],
[[[1, 11], [2, 2], [3, 1], [6, 1], [7, 1]], 55/21676032],
[[[1, 11], [2, 2], [3, 1], [6, 1], [9, 1]], 1/49766400],
[[[1, 11], [2, 2], [3, 1], [6, 2], [8, 1]], 1/92897280],
[[[1, 11], [2, 2], [3, 1], [8, 1], [10, 1]], 1/174182400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1]], 7303/464486400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 2]], 1/15482880],
[[[1, 11], [2, 2], [3, 2], [4, 1], [8, 1]], 1363/371589120],
[[[1, 11], [2, 2], [3, 2], [4, 1], [10, 1]], 1/7741440],
[[[1, 11], [2, 2], [3, 2], [4, 1], [12, 1]], 1/4644864],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 1]], 1/3096576],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 1]], 811/99532800],
[[[1, 11], [2, 2], [3, 2], [6, 1], [8, 1]], 19/92897280],
[[[1, 11], [2, 2], [3, 2], [6, 1], [10, 1]], 1/87091200],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 1]], 521/143327232],
[[[1, 11], [2, 2], [4, 1], [5, 1], [8, 1]], 397/185794560],
[[[1, 11], [2, 2], [4, 1], [5, 1], [10, 1]], 7897/37158912000],
[[[1, 11], [2, 2], [4, 1], [5, 1], [12, 1]], 19/174182400],
[[[1, 11], [2, 2], [4, 1], [6, 1], [7, 1]], 11/108380160],
[[[1, 11], [2, 2], [4, 1], [8, 1], [10, 1]], 1/1161216000],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 1]], 17/348364800],
[[[1, 11], [2, 2], [4, 2], [6, 1], [8, 1]], 1/53084160],
[[[1, 11], [2, 2], [4, 2], [6, 1], [12, 1]], 1/1045094400],
[[[1, 11], [2, 2], [5, 1], [6, 1], [8, 1]], 19/348364800],
[[[1, 11], [2, 2], [5, 1], [6, 1], [10, 1]], 1/217728000],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1]], 5387/206438400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 2]], 161/358318080],
[[[1, 11], [2, 4], [3, 1], [4, 1], [8, 1]], 737/106168320],
[[[1, 11], [2, 4], [3, 1], [4, 1], [10, 1]], 101/139345920],
[[[1, 11], [2, 4], [3, 1], [4, 1], [12, 1]], 487/1254113280],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 1]], 771/146800640],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 1]], 32267/3583180800],
[[[1, 11], [2, 4], [3, 1], [6, 1], [8, 1]], 239/418037760],
[[[1, 11], [2, 4], [3, 1], [6, 1], [10, 1]], 1/4644864],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 1]], 1507/74317824],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 1]], 137/174182400],
[[[1, 11], [2, 4], [4, 1], [6, 1], [8, 1]], 13/49766400],
[[[1, 11], [2, 4], [4, 1], [6, 1], [10, 1]], 1/38707200],
[[[1, 11], [2, 4], [4, 1], [6, 1], [12, 1]], 1/139345920],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 1]], 2114713/200658124800],
[[[1, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 11/174182400],
[[[1, 12], [2, 1], [3, 1], [4, 1], [7, 1]], 5077/15606743040],
[[[1, 12], [2, 1], [3, 1], [4, 1], [9, 1]], 7/191102976],
[[[1, 12], [2, 1], [3, 1], [4, 1], [14, 1]], 1/6706022400],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1]], 11/265420800],
[[[1, 12], [2, 1], [3, 1], [4, 2], [8, 1]], 683/61312204800],
[[[1, 12], [2, 1], [3, 1], [4, 2], [12, 1]], 1/209018880],
[[[1, 12], [2, 1], [3, 1], [4, 3], [6, 1]], 1/275904921600],
[[[1, 12], [2, 1], [3, 1], [5, 1], [8, 1]], 1/55738368],
[[[1, 12], [2, 1], [3, 1], [5, 1], [10, 1]], 17/1114767360],
[[[1, 12], [2, 1], [3, 1], [6, 1], [7, 1]], 673/7803371520],
[[[1, 12], [2, 1], [3, 1], [8, 1], [10, 1]], 1/9580032000],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1]], 3397/4180377600],
[[[1, 12], [2, 1], [3, 2], [4, 1], [8, 1]], 4049/26754416640],
[[[1, 12], [2, 1], [3, 2], [4, 1], [10, 1]], 1/232243200],
[[[1, 12], [2, 1], [3, 2], [4, 1], [12, 1]], 1/139345920],
[[[1, 12], [2, 1], [3, 2], [4, 2], [6, 1]], 1/154828800],
[[[1, 12], [2, 1], [3, 2], [5, 1], [6, 1]], 383/1114767360],
[[[1, 12], [2, 1], [3, 2], [6, 1], [8, 1]], 1/278691840],
[[[1, 12], [2, 1], [3, 3], [4, 1], [6, 1]], 13/1254113280],
[[[1, 12], [2, 1], [4, 1], [5, 1], [8, 1]], 577/7431782400],
[[[1, 12], [2, 1], [4, 1], [5, 1], [10, 1]], 1/580608000],
[[[1, 12], [2, 1], [4, 1], [5, 1], [12, 1]], 1/348364800],
[[[1, 12], [2, 1], [4, 1], [6, 1], [7, 1]], 1/325140480],
[[[1, 12], [2, 1], [5, 1], [6, 1], [8, 1]], 1/696729600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1]], 86683/16721510400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 2]], 13/567705600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [8, 1]], 419/445906944],
[[[1, 12], [2, 3], [3, 1], [4, 1], [10, 1]], 1783/38320128000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [12, 1]], 3301/68976230400],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 1]], 140599/535088332800],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 1]], 3739/2786918400],
[[[1, 12], [2, 3], [3, 1], [6, 1], [8, 1]], 1559/30656102400],
[[[1, 12], [2, 3], [3, 1], [6, 1], [10, 1]], 17/2090188800],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 1]], 703/334430208],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 1]], 1/16128000],
[[[1, 12], [2, 3], [4, 1], [6, 1], [8, 1]], 17/1393459200],
[[[1, 12], [2, 3], [4, 1], [6, 1], [10, 1]], 1/1741824000],
[[[1, 12], [2, 3], [4, 1], [6, 1], [12, 1]], 1/2090188800],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 1]], 199145/78479622144],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1]], 9397/22295347200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 2]], 1/2229534720],
[[[1, 13], [2, 2], [3, 1], [4, 1], [8, 1]], 3917/70071091200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [10, 1]], 19/12773376000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [12, 1]], 19/7664025600],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 1]], 227/61312204800],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 1]], 162829/1839366144000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [8, 1]], 67/35035545600],
[[[1, 13], [2, 2], [3, 1], [6, 1], [10, 1]], 1/14370048000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 1]], 32033/441447874560],
[[[1, 13], [2, 2], [4, 1], [5, 1], [6, 1]], 1/348364800],
[[[1, 13], [2, 2], [4, 1], [6, 1], [8, 1]], 1/5573836800],
[[[1, 13], [2, 2], [4, 1], [6, 1], [12, 1]], 1/68976230400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 1]], 581221/1961990553600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1]], 42409/3678732288000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [8, 1]], 169/133772083200],
[[[1, 14], [2, 1], [3, 1], [4, 1], [10, 1]], 1/38320128000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [12, 1]], 1/22992076800],
[[[1, 14], [2, 1], [3, 1], [4, 2], [6, 1]], 1/29727129600],
[[[1, 14], [2, 1], [3, 1], [5, 1], [6, 1]], 23/11147673600],
[[[1, 14], [2, 1], [3, 1], [6, 1], [8, 1]], 1/45984153600],
[[[1, 14], [2, 1], [3, 2], [4, 1], [6, 1]], 197/1103619686400],
[[[1, 14], [2, 1], [4, 1], [5, 1], [6, 1]], 1/16721510400],
[[[1, 14], [2, 1], [4, 1], [6, 1], [12, 1]], 1/6276836966400],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 1]], 47387/2942985830400],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 1]], 545009/1606870263398400],
[[[1, 16], [2, 1], [3, 1], [4, 1], [6, 1]], 19/20085878292480],
[[[2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[2, 3], [4, 1], [6, 1], [8, 1], [26, 1]], 1/2496],
[[[2, 3], [4, 1], [6, 2], [8, 1], [22, 1]], 1/6336],
[[[2, 3], [4, 2], [6, 1], [10, 1], [22, 1]], 1/10560],
[[[2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/14400],
[[[2, 3], [4, 2], [6, 1], [12, 1], [22, 1]], 1/3168],
[[[2, 3], [4, 4], [6, 1], [10, 1], [18, 1]], 1/552960],
[[[2, 3], [6, 1], [8, 2], [10, 1], [18, 1]], 1/11520],
[[[2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 5/50688],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/24192],
[[[2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 1/14400],
[[[2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 1/13824],
[[[2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 1/12096],
[[[2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/77760],
[[[2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1008],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512],
[[[2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 7/414720],
[[[2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 13/1244160],
[[[2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 1/64512],
[[[2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 17/5529600],
[[[2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 1/48384],
[[[2, 7], [4, 2], [6, 1], [12, 1], [18, 1]], 1/103680],
[[[2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 1/51840],
[[[2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 13/9031680],
[[[2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1/1658880],
[[[2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 7/4147200],
[[[2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1036800],
[[[2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 11/174182400],
[[[1, 1], [2, 2], [3, 1], [4, 1], [12, 1], [14, 2]], 1/7056],
[[[1, 1], [2, 2], [3, 1], [4, 1], [12, 1], [26, 1]], 1/936],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [22, 1]], 1/76032],
[[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [22, 1]], 1/1848],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [22, 1]], 1/16896],
[[[1, 1], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168],
[[[1, 1], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 1], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 1], [2, 2], [4, 3], [6, 1], [7, 1], [14, 1]], 1/32256],
[[[1, 1], [2, 2], [5, 1], [6, 1], [8, 1], [22, 1]], 1/2640],
[[[1, 1], [2, 2], [6, 1], [7, 1], [14, 1], [18, 1]], 1/252],
[[[1, 1], [2, 2], [6, 1], [10, 1], [16, 1], [18, 1]], 1/1440],
[[[1, 1], [2, 2], [7, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [26, 1]], 1/3744],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 1/9504],
[[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [22, 1]], 1/4752],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/345600],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/290304],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 1/124416],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/1866240],
[[[1, 1], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 1/516096],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1105920],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/294912],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [22, 1]], 1/12672],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/23040],
[[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 1/756],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/1080],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560],
[[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [10, 2]], 1/8400],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 1/768],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 1/1760],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/1440],
[[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [22, 1]], 1/6336],
[[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 5/18816],
[[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/1512],
[[[1, 1], [2, 4], [4, 1], [6, 3], [7, 1], [10, 1]], 1/45360],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 5/10368],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/25920],
[[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 1], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 3/6272],
[[[1, 1], [2, 4], [4, 1], [7, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/21504],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 5/64512],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 5/27648],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/11520],
[[[1, 1], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/414720],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/35840],
[[[1, 1], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 37/276480],
[[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 1], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 1/12000],
[[[1, 1], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [5, 1], [6, 2], [8, 1], [14, 1]], 1/10080],
[[[1, 1], [2, 4], [5, 1], [6, 2], [8, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 1/540],
[[[1, 1], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/64800],
[[[1, 1], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/5600],
[[[1, 1], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 1], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 1/840],
[[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 17/304128],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/43200],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/36288],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1/15552],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/41472],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/233280],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 5/139968],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 1/86400],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 1/64512],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/1161216],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 1/2488320],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/1244160],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/2211840],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2016],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 1/2880],
[[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/311040],
[[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/48000],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/40320],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 1/17280],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/259200],
[[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/22400],
[[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 13/301056],
[[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [18, 1]], 1/60480],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 3/6400],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 1/28800],
[[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 1/1728],
[[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 1/30240],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 13/32256],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 91/82944],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 11/40320],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 23/20736],
[[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 31/207360],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 1/155520],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 79/107520],
[[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 11/258048],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 11/552960],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1/15360],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 1/30720],
[[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 13/276480],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 7/184320],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 1], [2, 6], [5, 1], [6, 1], [8, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 6], [5, 1], [6, 1], [8, 1], [18, 1]], 1/86400],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/43200],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 1/129024],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 13/2488320],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/184320],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 49/7464960],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 143/11197440],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 1], [2, 8], [3, 1], [4, 1], [12, 1], [14, 1]], 1/2540160],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 1/5160960],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 19/3686400],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 1/207360],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 1/24883200],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/2949120],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 1/414720],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 13/161280],
[[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 1/207360],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 1/345600],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 1/172800],
[[[1, 1], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 1/604800],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 23/161280],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 67/322560],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 161/3317760],
[[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 1/96768],
[[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 1/207360],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 79/552960],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 1/103680],
[[[1, 1], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 11/3686400],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 43/5529600],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 1], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/864000],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 17/54190080],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 1/9953280],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1/3096576],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 13/24883200],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 71/418037760],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 1/130636800],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1/17203200],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 1/23224320],
[[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 1/4147200],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3456000],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 589/77414400],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2073600],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/371589120],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1/83607552],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 751/2207239372800],
[[[1, 2], [2, 1], [3, 1], [4, 1], [11, 1], [14, 1]], 1/1848],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [11, 1]], 1/16896],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [11, 1]], 1/76032],
[[[1, 2], [2, 1], [3, 1], [4, 3], [7, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 1], [3, 1], [5, 1], [9, 1], [16, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [14, 1]], 1/252],
[[[1, 2], [2, 1], [3, 1], [8, 1], [10, 1], [11, 1]], 1/2640],
[[[1, 2], [2, 1], [4, 1], [6, 1], [7, 2], [12, 1]], 1/7056],
[[[1, 2], [2, 1], [4, 1], [6, 1], [12, 1], [13, 1]], 1/936],
[[[1, 2], [2, 1], [4, 2], [5, 1], [7, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168],
[[[1, 2], [2, 1], [4, 2], [7, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 1], [5, 1], [7, 1], [8, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/9408],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [26, 1]], 1/1248],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [11, 1]], 1/19008],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [22, 1]], 1/3168],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [11, 1]], 1/10560],
[[[1, 2], [2, 3], [3, 1], [4, 1], [11, 1], [12, 1]], 1/19008],
[[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [22, 1]], 1/1584],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 5/25344],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1728],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/21504],
[[[1, 2], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 1/14400],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 1/829440],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/24576],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/124416],
[[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/193536],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [18, 1]], 1/82944],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1/82944],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1/589824],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 1/294912],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [22, 1]], 1/3960],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [11, 1]], 1/12672],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [22, 1]], 1/6336],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 1/3960],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 1/5400],
[[[1, 2], [2, 3], [3, 1], [6, 1], [14, 1], [16, 1]], 1/1344],
[[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [16, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 3], [3, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1728],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 1/96768],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 1/207360],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/19440],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [22, 1]], 1/5280],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/11520],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 3/8000],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 21/51200],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [22, 1]], 5/16896],
[[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [22, 1]], 1/3168],
[[[1, 2], [2, 3], [4, 1], [6, 1], [14, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 3], [4, 1], [6, 1], [16, 1], [18, 1]], 1/1152],
[[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 23/7168],
[[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/490],
[[[1, 2], [2, 3], [4, 1], [7, 1], [12, 1], [14, 1]], 1/896],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 29/37632],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [18, 1]], 1/2016],
[[[1, 2], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/69120],
[[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/2240],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 2], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/43008],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 1/18432],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 3], [5, 1], [6, 1], [10, 1], [16, 1]], 1/960],
[[[1, 2], [2, 3], [5, 1], [6, 2], [8, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/5400],
[[[1, 2], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/5600],
[[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/2400],
[[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [18, 1]], 1/2520],
[[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 1/304128],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 1/2816],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 7/55296],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/2880],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/12096],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 11/7776],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 17/124416],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/31104],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 5/139968],
[[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/14400],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 13/115200],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 47/331776],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 23/622080],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 5/23328],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/552960],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 43/774144],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 1/248832],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/73728],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 23/331776],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 25/110592],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 11/2654208],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 11/2211840],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 5/55296],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/18000],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/15120],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 1/6480],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 23/48600],
[[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [9, 1]], 1/1382400],
[[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/8400],
[[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2160],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 7/5184],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/15552],
[[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/12096],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/25920],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 5/7776],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/414720],
[[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/30240],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 1/155520],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 7/8000],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/51840],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 11/129600],
[[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2800],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 59/112896],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/6144],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 1/14400],
[[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 1/672],
[[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 19/64512],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 61/27648],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 17/17280],
[[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 1/82944],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 1/77760],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 39/35840],
[[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 21/204800],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 7/23040],
[[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 23/43008],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 103/55296],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 29/107520],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 583/552960],
[[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 7/30720],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 3/20480],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1400],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 61/43200],
[[[1, 2], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 7/28800],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/69120],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 1/116121600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 113/4423680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 17/115200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 1/2688],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 529/2488320],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 307/995328],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 25/62208],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 259/2239488],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 13/645120],
[[[1, 2], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 5/129024],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 1/110592],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 17/368640],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 25/331776],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 373/1990656],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1/414720],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/172800],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1/5898240],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 59/3317760],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 223/8847360],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/60480],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 1/129600],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 1/172800],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 17/129600],
[[[1, 2], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 5/110592],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 13/24192],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 17/2073600],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 91/1658880],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1/387072],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1/221184],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 17/829440],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 49/622080],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1/221184],
[[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 1/28800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/6912],
[[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1037/6144000],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 59/73728],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 109/221184],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 127/161280],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 281/552960],
[[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 143/276480],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 1/20736],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 103/1843200],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 27/40960],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 41/921600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 1/691200],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 1/2211840],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 1/13547520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 1189/36126720],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 11/4976640],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 53/1474560],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 97/1327104],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 91/11943936],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 1/921600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1/3628800],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 31/12386304],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 289/66355200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 407/139345920],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/19353600],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 83/10368000],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 83/16588800],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1658880],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 1/17418240],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4838400],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 521/27648000],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 1201/11059200],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 17/2073600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 1/77414400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 5041/8918138880],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 2501/1393459200],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 1777/40131624960],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/9408],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [13, 1]], 1/1248],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [16, 1]], 1/2688],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [11, 1]], 5/16896],
[[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [16, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1]], 1/5280],
[[[1, 3], [2, 2], [3, 1], [4, 1], [11, 1], [12, 1]], 1/3168],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [11, 1]], 5/25344],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1728],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 29/37632],
[[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/24576],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 1/96768],
[[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/43008],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 1/18432],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 1/193536],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/589824],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/294912],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 1/3960],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 1/2400],
[[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [14, 1]], 1/2520],
[[[1, 3], [2, 2], [3, 1], [5, 1], [10, 1], [16, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 1/5400],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [16, 1]], 1/1344],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1]], 1/6336],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [22, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [11, 1]], 1/3960],
[[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 2], [3, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 1/3168],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [22, 1]], 1/19008],
[[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [14, 1]], 1/3024],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1728],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 1/207360],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 1/124416],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [16, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/19440],
[[[1, 3], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 1/5400],
[[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [8, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/490],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 21/51200],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 3/8000],
[[[1, 3], [2, 2], [4, 1], [6, 1], [11, 1], [12, 1]], 1/1584],
[[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 1/19008],
[[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 23/7168],
[[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 1/896],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/35840],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/14400],
[[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [18, 1]], 1/829440],
[[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1/92160],
[[[1, 3], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/5600],
[[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 17/48000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 1/25344],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 35/50688],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 7/27648],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 5/16128],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 3/12800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 17/1105920],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 47/49152],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/864],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 13/48384],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 1/7168],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 29/41472],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 13/110592],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/774144],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 5/27648],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 31/165888],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 29/110592],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/276480],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 149/331776],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 31/442368],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 11/552960],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 19/110592],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/3600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 1/51840],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/10800],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 1/43200],
[[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/8400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 3/1568],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [16, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 1/311040],
[[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/51840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/13824],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/43200],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 5/12096],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 97/248832],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 11/93312],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 13/15552],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 109/331776],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 13/138240],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 53/41472],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/1658880],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/73728],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 11/36864],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1/77760],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 11/64800],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 1/5184],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3072],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 13/48000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 7/17280],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/259200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1400],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/40320],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/800],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 209/150528],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 1/1344],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 1/86400],
[[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 5/27648],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 7/103680],
[[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 1/72576],
[[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [18, 1]], 7/31104],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 1/466560],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/2240],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 13/35840],
[[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 309/204800],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 11/86016],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 43/36864],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 1/10240],
[[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 13/61440],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2400],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/1200],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 7/138240],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 7/124416],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 1/2764800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 131/884736],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 127/230400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 1/18432],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 11/129024],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 199/193536],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 101/82944],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 749/995328],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 11/27648],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 85/373248],
[[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/2580480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 1/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 5/64512],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 11/64512],
[[[1, 3], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 11/368640],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 25/774144],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 1/331776],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 215/516096],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 19/18432],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 731/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 467/663552],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 439/3538944],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 181/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 2363/5308416],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 1/2073600],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 37/43200],
[[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 9/102400],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/1290240],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 25/193536],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 23/26880],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 59/414720],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 19/829440],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 1/497664],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 5/96768],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 1/103680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 233/663552],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 379/1244160],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 89/124416],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 1/331776],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 55/663552],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/2764800],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 17/259200],
[[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 1/82944],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 13/80640],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 23/172800],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/9216],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 173/345600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1261/1228800],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 115/129024],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 59/55296],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 11/20160],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 2653/3317760],
[[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 23/145152],
[[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 53/311040],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 11/69120],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 19/311040],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 49/368640],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 91/204800],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 143/122880],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 5/27648],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 43/153600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 23/1036800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/691200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 2267/193536000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 5/2408448],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 113/387072],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 23/1105920],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 149/414720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 121/221184],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1349/19906560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 83/5529600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 1/345600],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 1/184320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 121/983040],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 347/2764800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 1291/23224320],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1/691200],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 31/276480],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 529/16588800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 1/232243200],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 31/4423680],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 313/24883200],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 53/19906560],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/76800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 9493/55296000],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 85/221184],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 113/3110400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 61/116121600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 37867/2972712960],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 4867/154828800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 5021/4459069440],
[[[1, 3], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/4320],
[[[1, 3], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 1/1760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/1440],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [14, 1]], 1/8400],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [13, 1]], 1/3744],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 1/768],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1]], 1/10560],
[[[1, 4], [2, 1], [3, 1], [4, 1], [11, 1], [12, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/25600],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/9600],
[[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [14, 1]], 1/21504],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 37/276480],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/345600],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [10, 1]], 1/368640],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/516096],
[[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/294912],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/840],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [5, 2], [8, 1], [10, 1]], 1/12000],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1]], 1/12672],
[[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [11, 1]], 1/9504],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/1512],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 5/18816],
[[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [14, 1]], 1/3024],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/28800],
[[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 5/64512],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 5/27648],
[[[1, 4], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/290304],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1]], 1/124416],
[[[1, 4], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1105920],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [8, 2]], 1/23040],
[[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1]], 1/540],
[[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/756],
[[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 1], [3, 2], [8, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/25920],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [14, 1]], 1/45360],
[[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 5/10368],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/414720],
[[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/1866240],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/1080],
[[[1, 4], [2, 1], [3, 3], [5, 1], [8, 1], [10, 1]], 1/64800],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 3/6272],
[[[1, 4], [2, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/4752],
[[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 4], [2, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/35840],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 4], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/5600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 1/43200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 13/48000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 1/86400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 35/50688],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [22, 1]], 1/25344],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 209/150528],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1/107520],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 1/10240],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 47/49152],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 5/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 11/86016],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 43/36864],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/138240],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/30720],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 13/61440],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 5/27648],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 31/165888],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/774144],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1/73728],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/1658880],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 11/36864],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 11/552960],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 31/442368],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 19/110592],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 1/3600],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [16, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 1/2400],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 7/138240],
[[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1/1200],
[[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 3/1568],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 1/77760],
[[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [8, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 7/103680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 7/27648],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 5/12096],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/31104],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 1/72576],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 5/27648],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 7/17280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 7/31104],
[[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 13/138240],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 1/7168],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 29/41472],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 13/48384],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 109/331776],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 53/41472],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/276480],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 29/110592],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 149/331776],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 11/64800],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 11/93312],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/259200],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1/466560],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 97/248832],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/51840],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 13/15552],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/138240],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 13/110592],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/311040],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/10800],
[[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 1/17280],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 13/35840],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/800],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 3/12800],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 17/48000],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/28800],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 5/16128],
[[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/31104],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 309/204800],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [18, 1]], 17/1105920],
[[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/6144],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/8400],
[[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/43200],
[[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 13/69120],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 1/322560],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 3/204800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/276480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 17/115200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 1/2048],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 41/96768],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1/2688],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 23/27648],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 163/995328],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 11/311040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 25/124416],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 1/96768],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 1/9216],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 29/107520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 11/69120],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 1403/3686400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 13/49152],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 179/258048],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 245/221184],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 113/552960],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 347/331776],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 11/20480],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 19/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 593/589824],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 301/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1541/1769472],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 7/9600],
[[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 13/40320],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 5/43008],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 7/17280],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 91/622080],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 11/276480],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 1/5120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/552960],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 1/129024],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 7/165888],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 7/27648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/15552],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 41/41472],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 41/69120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 1/648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 17/2211840],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 55/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 31/138240],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 215/331776],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 37/129600],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 7/69120],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/7464960],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 5/497664],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 23/248832],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 13/645120],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 11/34560],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 3/2560],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 7/13824],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 3/7168],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 5/18432],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 19/55296],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 5/32256],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 13/92160],
[[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 5/31104],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 97/184320],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 47/61440],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 107/368640],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 11/41472],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 7/69120],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 133/460800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 103/921600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 61/2764800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 377/3686400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 37/774144],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 7/3317760],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 2245/3096576],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 1/10240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 2299/2654208],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 1057/1327104],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 3719/19906560],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 11/153600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 133/2211840],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 7049/8847360],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 1379/2211840],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 59/207360],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 7/614400],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 217/460800],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 41/552960],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 3/204800],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 211/3317760],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 29/276480],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 79/2211840],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 67/614400],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 571/1105920],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 121/368640],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 11/207360],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 421/51609600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 10067/106168320],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 3937/22118400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 1223/127401984],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/6144],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [16, 1]], 1/3840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 1/9600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 7/8000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/14400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 1/2816],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [22, 1]], 1/304128],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 1/672],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 59/112896],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [14, 1]], 1/6048],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 29/107520],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 583/552960],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 13/115200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/3456],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 23/43008],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 103/55296],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/414720],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 3/20480],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 43/774144],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1]], 1/248832],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 11/2211840],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 11/2654208],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 5/55296],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [16, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/155520],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/1400],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 61/43200],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/18000],
[[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/6048],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/40320],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 17/17280],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [14, 1]], 1/10080],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 7/55296],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/12096],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 19/64512],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 61/27648],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 1/46080],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 7/30720],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 23/331776],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/73728],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 25/110592],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2160],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 7/5184],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 7/28800],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 1/6048],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1]], 1/15120],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/25920],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 1/82944],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 11/129600],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1/77760],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 11/7776],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [14, 1]], 1/12096],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 5/7776],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 23/622080],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 47/331776],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 5/23328],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/15552],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 23/48600],
[[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/31104],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 17/124416],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 5/139968],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 39/35840],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2800],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/4480],
[[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 1/14400],
[[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/129024],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10752],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 21/204800],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 7/23040],
[[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/552960],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/8400],
[[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1382400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/41472],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 5/32256],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 13/92160],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 17/115200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 1/3456],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 1/276480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 1/2048],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 1/15552],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 1/129024],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 7/165888],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 5/497664],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/7464960],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 23/248832],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 5/18432],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 19/55296],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 3/7168],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 5/31104],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 13/645120],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 31/138240],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 107/368640],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 47/61440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 7/69120],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 179/258048],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 13/49152],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 55/331776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 17/2211840],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 215/331776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 97/184320],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 11/41472],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 301/1105920],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 593/589824],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 19/1105920],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1541/1769472],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 7/17280],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 91/622080],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 13/40320],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 7/69120],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 37/129600],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 133/460800],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 5/43008],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/69120],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 41/69120],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 11/34560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 1/103680],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 1/2688],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 23/27648],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 41/96768],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 41/41472],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 1/5120],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 1/648],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 113/552960],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 245/221184],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 11/69120],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 347/331776],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 11/276480],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 7/9600],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 11/311040],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 163/995328],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 13/69120],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 25/124416],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 29/107520],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 7/138240],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 3/2560],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 7/13824],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 1/24192],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/55296],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 3/204800],
[[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 1/96768],
[[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/552960],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 11/20480],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1403/3686400],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 533/1658880],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 97/1228800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 211/614400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 1/414720],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 4583/15482880],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 31/995328],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 943/1548288],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 497/3317760],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 673/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 173/622080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 949/3981312],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 103/552960],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 791/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 6847/5308416],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 797/1474560],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 1267/2211840],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 67/1843200],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 719/1036800],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 367/3686400],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 491/2654208],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 31/92160],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 193/1327104],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 151/552960],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 6343/11059200],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 319/2211840],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 22919/464486400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 9131/35389440],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 14101/39813120],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 10283/318504960],
[[[1, 5], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 3/6400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 1/48000],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 1/28800],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1]], 17/304128],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/1728],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 13/301056],
[[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [14, 1]], 1/60480],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 1/15360],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 1/30720],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 11/258048],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 1/8064],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 11/552960],
[[[1, 6], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1]], 1/10368],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 7/184320],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/1161216],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1]], 1/2488320],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/2211840],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 1], [5, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [10, 1]], 1/40320],
[[[1, 6], [2, 1], [3, 1], [8, 1], [9, 1], [10, 1]], 1/86400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 11/40320],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 23/20736],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [14, 1]], 1/30240],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/43200],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 13/32256],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/24192],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 91/82944],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 13/276480],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/64512],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/1244160],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2016],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/2880],
[[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [10, 1]], 1/43200],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 31/207360],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 1/259200],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 1/155520],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/36288],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/15552],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 1/311040],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/233280],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 5/139968],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 79/107520],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/22400],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/13440],
[[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/86400],
[[[1, 6], [2, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 11/20160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 2653/3317760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 1/4480],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 127/230400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 131/884736],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 5/96768],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 1/497664],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 1/82944],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 115/129024],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 13/80640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 23/145152],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 59/55296],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 23/172800],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 53/311040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 143/122880],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 91/204800],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 215/516096],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 25/774144],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/331776],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/331776],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 55/663552],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 49/368640],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 5/27648],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 181/1105920],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 439/3538944],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 2363/5308416],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 23/26880],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 17/259200],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 43/153600],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 25/193536],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/8064],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/1290240],
[[[1, 6], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [18, 1]], 1/2073600],
[[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/2764800],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 379/1244160],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 11/69120],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 173/345600],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 19/311040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 199/193536],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 101/82944],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 11/129024],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 233/663552],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 19/829440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 89/124416],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 731/1105920],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 19/18432],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 467/663552],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 59/414720],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 37/43200],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 11/27648],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 749/995328],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 7/124416],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 85/373248],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 11/64512],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1261/1228800],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 5/64512],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/24192],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2580480],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/1105920],
[[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/2764800],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 1/20480],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 11/368640],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 9/102400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 31/92160],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 319/2211840],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 6343/11059200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 943/1548288],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 497/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 4583/15482880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 31/995328],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 491/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 367/3686400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 193/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 151/552960],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 797/1474560],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 6847/5308416],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 791/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 1267/2211840],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 719/1036800],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 67/1843200],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 173/622080],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 673/1327104],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 533/1658880],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 949/3981312],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 103/552960],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 211/614400],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 97/1228800],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 1/414720],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 1003/7372800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 60367/212336640],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 1967/7372800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 5713/106168320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 127/161280],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 281/552960],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 17/115200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 113/4423680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/387072],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 59/73728],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 109/221184],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 1/17280],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 27/40960],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 103/1843200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 5/129024],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/221184],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 59/3317760],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1/5898240],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 223/8847360],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 13/24192],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 17/2073600],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 41/921600],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 5/110592],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1]], 1/60480],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 7], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1]], 1/129600],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 17/829440],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 143/276480],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 1/6912],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 1/20736],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1/2688],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 529/2488320],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [14, 1]], 1/120960],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/221184],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 49/622080],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 25/331776],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 17/368640],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 373/1990656],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 91/1658880],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 17/129600],
[[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 25/62208],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 307/995328],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 259/2239488],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 13/645120],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1037/6144000],
[[[1, 7], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/120960],
[[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/116121600],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/172800],
[[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/414720],
[[[1, 7], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 29/276480],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 121/368640],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 571/1105920],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 11/207360],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 2245/3096576],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 1/10240],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 37/774144],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 7/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 211/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 3/204800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 79/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 67/614400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 1379/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 7049/8847360],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 133/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 59/207360],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 41/552960],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 217/460800],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 7/614400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1057/1327104],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 2299/2654208],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 103/921600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 3719/19906560],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 11/153600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 377/3686400],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/103680],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 61/2764800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 1967/7372800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 60367/212336640],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 1003/7372800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 5713/106168320],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 67/322560],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 161/3317760],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [14, 1]], 1/604800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/276480],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 23/161280],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/96768],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 8], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/345600],
[[[1, 8], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/207360],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 43/5529600],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 11/3686400],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/5160960],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 1/24883200],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/2949120],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 13/161280],
[[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [10, 1]], 1/864000],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/414720],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 79/552960],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 1/103680],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/129024],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 13/2488320],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 19/3686400],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 1/207360],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 1/207360],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 49/7464960],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 143/11197440],
[[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2540160],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 313/24883200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 85/221184],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 9493/55296000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 113/3110400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 113/387072],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 23/1105920],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 5/2408448],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 31/4423680],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/232243200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 53/19906560],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 347/2764800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 121/983040],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/184320],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1291/23224320],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 529/16588800],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 31/276480],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 121/221184],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 149/414720],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 23/1036800],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 1349/19906560],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 83/5529600],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 2267/193536000],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/345600],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 14101/39813120],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 9131/35389440],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 22919/464486400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 10283/318504960],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1658880],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 1201/11059200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 521/27648000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 17/2073600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1189/36126720],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 11/4976640],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1]], 1/13547520],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 1/17418240],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/4838400],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 289/66355200],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 31/12386304],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 407/139345920],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 83/16588800],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 83/10368000],
[[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1]], 1/19353600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 97/1327104],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 53/1474560],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 1/691200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 91/11943936],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/921600],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2211840],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3628800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 3937/22118400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 10067/106168320],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 421/51609600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1223/127401984],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 589/77414400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3456000],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 1/2073600],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 17/54190080],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/9953280],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/17203200],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 1/23224320],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 1/4147200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 13/24883200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/3096576],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 71/418037760],
[[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/130636800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 4867/154828800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 37867/2972712960],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 61/116121600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 5021/4459069440],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 2501/1393459200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 5041/8918138880],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/77414400],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 1777/40131624960],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/83607552],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/371589120],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 751/2207239372800],
[[[2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/4320],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/2376],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/2520],
[[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/1008],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 1], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/3600],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/10800],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/9072],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 5/1944],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/58320],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/14400],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 5/2304],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/414720],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 29/72576],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/77760],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 29/77760],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/36864],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 151/12441600],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/2520],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/2376],
[[[1, 2], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/1008],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/23040],
[[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/103680],
[[[1, 2], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/3600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/14400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 5/3528],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/384],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 5/1944],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 3/7168],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 11/12096],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 25/41472],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5400],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/3024],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/6480],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/7200],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/4608],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/414720],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 13/86400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 17/16128],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 13/20160],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 17/12096],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/7776],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 23/23040],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 5/10368],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/6144],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 539/331776],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 83/69120],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/12960],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 113/76800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 49/1382400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/61440],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/122880],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 157/829440],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 11/7200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 5/3528],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/384],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/3024],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 3/7168],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 11/12096],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/2592],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/5400],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/3360],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/6480],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 5/1944],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 25/41472],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7200],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/5040],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/14400],
[[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/17280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 19/21600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/25600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/17280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/2688],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/864],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 67/64512],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/2560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 53/24192],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 47/138240],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 5/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 13/23040],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2560],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 9/10240],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 5/1728],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 89/69120],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 19/51840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1080],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 37/38400],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 47/552960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 541/1382400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 319/276480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 43/368640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 79/138240],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 5/2304],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/14400],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/10800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/13440],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/9072],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 5/1944],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/58320],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/2560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1080],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 37/38400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 67/64512],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 53/24192],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 19/51840],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 9/10240],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 13/23040],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 89/69120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 5/1728],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2560],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 47/138240],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 19/21600],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2160],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/17280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 5/9216],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/25600],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/17280],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 59/138240],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 341/230400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 131/276480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/7680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/36864],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 23/27648],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 13/20160],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 113/76800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 17/16128],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 17/12096],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/7776],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/414720],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 83/69120],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 539/331776],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/23040],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 13/86400],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 5/10368],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 341/230400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 23/27648],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 59/138240],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/36864],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 131/276480],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/414720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 29/72576],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/77760],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 29/77760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 319/276480],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 541/1382400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 79/138240],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 47/552960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 43/368640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/18432],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/61440],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 49/1382400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 157/829440],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/122880],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 151/12441600],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/3240],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920]
]}