{[
[[[1, 25]], 1/32446418780160000],
[[[2, 25]], 1/32446418780160000],
[[[1, 1], [2, 24]], 1/309013512192000],
[[[1, 2], [2, 23]], 391/2703868231680000],
[[[1, 3], [2, 22]], 167/46088663040000],
[[[1, 4], [2, 21]], 2491/44144787456000],
[[[1, 5], [2, 20]], 176809/309013512192000],
[[[1, 6], [2, 19]], 4649/1207084032000],
[[[1, 7], [2, 18]], 222097/12875563008000],
[[[1, 7], [7, 3]], 1/32928],
[[[1, 8], [2, 17]], 748247/14714929152000],
[[[1, 9], [2, 16]], 25793/267544166400],
[[[1, 9], [5, 4]], 1/60000],
[[[1, 10], [2, 15]], 841/7431782400],
[[[1, 11], [2, 14]], 41/530841600],
[[[1, 11], [3, 7]], 1/839808],
[[[1, 12], [2, 13]], 13/424673280],
[[[1, 13], [2, 12]], 13/424673280],
[[[1, 13], [3, 6]], 1/1679616],
[[[1, 13], [5, 3]], 67/241920000],
[[[1, 13], [7, 2]], 1489/31294771200],
[[[1, 14], [2, 11]], 41/530841600],
[[[1, 15], [2, 10]], 841/7431782400],
[[[1, 15], [3, 5]], 79/783820800],
[[[1, 15], [11, 1]], 1/8941363200],
[[[1, 16], [2, 9]], 25793/267544166400],
[[[1, 17], [2, 8]], 748247/14714929152000],
[[[1, 17], [3, 4]], 293/41385738240],
[[[1, 17], [5, 2]], 227/335301120000],
[[[1, 18], [2, 7]], 222097/12875563008000],
[[[1, 19], [2, 6]], 4649/1207084032000],
[[[1, 19], [3, 3]], 11867/57940033536000],
[[[1, 19], [7, 1]], 113/15021490176000],
[[[1, 20], [2, 5]], 176809/309013512192000],
[[[1, 21], [2, 4]], 2491/44144787456000],
[[[1, 21], [3, 2]], 19/7023034368000],
[[[1, 21], [5, 1]], 1/2508226560000],
[[[1, 22], [2, 3]], 167/46088663040000],
[[[1, 23], [2, 2]], 391/2703868231680000],
[[[1, 23], [3, 1]], 1/63371911680000],
[[[1, 24], [2, 1]], 1/309013512192000],
[[[2, 7], [14, 3]], 1/32928],
[[[2, 9], [10, 4]], 1/60000],
[[[2, 11], [6, 7]], 1/839808],
[[[2, 13], [6, 6]], 1/1679616],
[[[2, 13], [10, 3]], 67/241920000],
[[[2, 13], [14, 2]], 1489/31294771200],
[[[2, 15], [6, 5]], 79/783820800],
[[[2, 15], [22, 1]], 1/8941363200],
[[[2, 17], [6, 4]], 293/41385738240],
[[[2, 17], [10, 2]], 227/335301120000],
[[[2, 19], [6, 3]], 11867/57940033536000],
[[[2, 19], [14, 1]], 113/15021490176000],
[[[2, 21], [6, 2]], 19/7023034368000],
[[[2, 21], [10, 1]], 1/2508226560000],
[[[2, 23], [6, 1]], 1/63371911680000],
[[[1, 1], [2, 6], [14, 3]], 1/4704],
[[[1, 1], [2, 8], [10, 4]], 1/12000],
[[[1, 1], [2, 10], [6, 7]], 1/279936],
[[[1, 1], [2, 12], [6, 6]], 7/1119744],
[[[1, 1], [2, 12], [10, 3]], 47/8064000],
[[[1, 1], [2, 12], [14, 2]], 6137/4470681600],
[[[1, 1], [2, 14], [6, 5]], 127/65318400],
[[[1, 1], [2, 14], [22, 1]], 1/178827264],
[[[1, 1], [2, 16], [6, 4]], 14701/68976230400],
[[[1, 1], [2, 16], [10, 2]], 7673/268240896000],
[[[1, 1], [2, 18], [6, 3]], 25423/2759049216000],
[[[1, 1], [2, 18], [14, 1]], 137/321889075200],
[[[1, 1], [2, 20], [6, 2]], 4331/25751126016000],
[[[1, 1], [2, 20], [10, 1]], 1037/38626689024000],
[[[1, 1], [2, 22], [4, 1]], 29/360515764224000],
[[[1, 1], [2, 22], [6, 1]], 1741/1351934115840000],
[[[1, 2], [2, 5], [14, 3]], 3/10976],
[[[1, 2], [2, 7], [10, 4]], 7/60000],
[[[1, 2], [2, 9], [6, 7]], 1/279936],
[[[1, 2], [2, 11], [6, 6]], 5/279936],
[[[1, 2], [2, 11], [10, 3]], 9449/241920000],
[[[1, 2], [2, 11], [14, 2]], 1517/113799168],
[[[1, 2], [2, 13], [6, 5]], 223/17418240],
[[[1, 2], [2, 13], [22, 1]], 17/159667200],
[[[1, 2], [2, 15], [6, 4]], 33281/13795246080],
[[[1, 2], [2, 15], [10, 2]], 703/1520640000],
[[[1, 2], [2, 17], [6, 3]], 780053/4828336128000],
[[[1, 2], [2, 17], [14, 1]], 435581/45064470528000],
[[[1, 2], [2, 19], [4, 2]], 613/12875563008000],
[[[1, 2], [2, 19], [6, 2]], 36433/8583708672000],
[[[1, 2], [2, 19], [10, 1]], 144479/193133445120000],
[[[1, 2], [2, 21], [4, 1]], 587/98322481152000],
[[[1, 2], [2, 21], [6, 1]], 4247/96566722560000],
[[[1, 3], [2, 4], [14, 3]], 1/10976],
[[[1, 3], [2, 6], [10, 4]], 1/20000],
[[[1, 3], [2, 8], [6, 7]], 1/839808],
[[[1, 3], [2, 10], [6, 6]], 17/839808],
[[[1, 3], [2, 10], [10, 3]], 319/2880000],
[[[1, 3], [2, 10], [14, 2]], 1177/21073920],
[[[1, 3], [2, 12], [6, 5]], 689/19595520],
[[[1, 3], [2, 12], [22, 1]], 19/19353600],
[[[1, 3], [2, 14], [6, 4]], 244067/18811699200],
[[[1, 3], [2, 14], [10, 2]], 175453/47900160000],
[[[1, 3], [2, 16], [4, 3]], 4079/429185433600],
[[[1, 3], [2, 16], [6, 3]], 593941/413857382400],
[[[1, 3], [2, 16], [14, 1]], 367/3200601600],
[[[1, 3], [2, 18], [4, 2]], 31601/12875563008000],
[[[1, 3], [2, 18], [6, 2]], 4377193/77253378048000],
[[[1, 3], [2, 18], [10, 1]], 723497/64377815040000],
[[[1, 3], [2, 20], [4, 1]], 2593/14046068736000],
[[[1, 3], [2, 20], [6, 1]], 109/132434362368],
[[[1, 3], [7, 2], [11, 1]], 1/2156],
[[[1, 4], [2, 3], [7, 3]], 1/10976],
[[[1, 4], [2, 9], [6, 6]], 5/559872],
[[[1, 4], [2, 9], [10, 3]], 107/768000],
[[[1, 4], [2, 9], [14, 2]], 19/184320],
[[[1, 4], [2, 11], [6, 5]], 329/7464960],
[[[1, 4], [2, 11], [22, 1]], 199/42577920],
[[[1, 4], [2, 13], [4, 4]], 73/123863040],
[[[1, 4], [2, 13], [6, 4]], 4883/139345920],
[[[1, 4], [2, 13], [10, 2]], 8929/580608000],
[[[1, 4], [2, 15], [4, 3]], 129253/429185433600],
[[[1, 4], [2, 15], [6, 3]], 1929457/275904921600],
[[[1, 4], [2, 15], [14, 1]], 4769/6131220480],
[[[1, 4], [2, 17], [4, 2]], 45977/919683072000],
[[[1, 4], [2, 17], [6, 2]], 1129307/2575112601600],
[[[1, 4], [2, 17], [10, 1]], 91669/919683072000],
[[[1, 4], [2, 19], [4, 1]], 479653/154506756096000],
[[[1, 4], [2, 19], [6, 1]], 2851/306561024000],
[[[1, 5], [2, 2], [7, 3]], 3/10976],
[[[1, 5], [2, 8], [6, 6]], 1/1119744],
[[[1, 5], [2, 8], [10, 3]], 17/230400],
[[[1, 5], [2, 8], [14, 2]], 757/9031680],
[[[1, 5], [2, 10], [4, 5]], 1/589824],
[[[1, 5], [2, 10], [6, 5]], 1/41472],
[[[1, 5], [2, 10], [22, 1]], 487/42577920],
[[[1, 5], [2, 12], [4, 4]], 197/24772608],
[[[1, 5], [2, 12], [6, 4]], 2869/59719680],
[[[1, 5], [2, 12], [10, 2]], 6737/193536000],
[[[1, 5], [2, 14], [4, 3]], 209381/61312204800],
[[[1, 5], [2, 14], [6, 3]], 476627/25082265600],
[[[1, 5], [2, 14], [14, 1]], 166459/53648179200],
[[[1, 5], [2, 16], [4, 2]], 6767/13005619200],
[[[1, 5], [2, 16], [6, 2]], 249103/122624409600],
[[[1, 5], [2, 16], [10, 1]], 496297/919683072000],
[[[1, 5], [2, 18], [4, 1]], 160591/5150225203200],
[[[1, 5], [2, 18], [6, 1]], 12151/183936614400],
[[[1, 5], [3, 1], [7, 3]], 1/4116],
[[[1, 5], [5, 2], [7, 2]], 1/9800],
[[[1, 6], [2, 1], [7, 3]], 1/4704],
[[[1, 6], [2, 3], [5, 4]], 1/20000],
[[[1, 6], [2, 7], [7, 2]], 1/602112],
[[[1, 6], [2, 7], [10, 3]], 3/256000],
[[[1, 6], [2, 7], [14, 2]], 79/3010560],
[[[1, 6], [2, 9], [4, 5]], 7/589824],
[[[1, 6], [2, 9], [6, 5]], 19/4478976],
[[[1, 6], [2, 9], [22, 1]], 7/506880],
[[[1, 6], [2, 11], [4, 4]], 199/5160960],
[[[1, 6], [2, 11], [6, 4]], 5671/179159040],
[[[1, 6], [2, 11], [10, 2]], 127/3072000],
[[[1, 6], [2, 13], [4, 3]], 4849/265420800],
[[[1, 6], [2, 13], [6, 3]], 356221/12541132800],
[[[1, 6], [2, 13], [14, 1]], 28199/3901685760],
[[[1, 6], [2, 15], [4, 2]], 92581/30656102400],
[[[1, 6], [2, 15], [6, 2]], 565129/100329062400],
[[[1, 6], [2, 15], [10, 1]], 26141/14598144000],
[[[1, 6], [2, 17], [4, 1]], 28571/147149291520],
[[[1, 6], [2, 17], [6, 1]], 411709/1379524608000],
[[[1, 7], [2, 2], [5, 4]], 7/60000],
[[[1, 7], [2, 6], [5, 3]], 3/256000],
[[[1, 7], [2, 6], [7, 2]], 79/3010560],
[[[1, 7], [2, 6], [14, 2]], 1/602112],
[[[1, 7], [2, 8], [4, 5]], 1/24576],
[[[1, 7], [2, 8], [11, 1]], 1/811008],
[[[1, 7], [2, 8], [22, 1]], 1/135168],
[[[1, 7], [2, 10], [4, 4]], 121/1474560],
[[[1, 7], [2, 10], [6, 4]], 491/59719680],
[[[1, 7], [2, 10], [10, 2]], 331/13824000],
[[[1, 7], [2, 12], [4, 3]], 293/5898240],
[[[1, 7], [2, 12], [6, 3]], 529/23887872],
[[[1, 7], [2, 12], [14, 1]], 431/45158400],
[[[1, 7], [2, 14], [4, 2]], 1747/174182400],
[[[1, 7], [2, 14], [6, 2]], 102017/11147673600],
[[[1, 7], [2, 14], [10, 1]], 99823/27869184000],
[[[1, 7], [2, 16], [4, 1]], 555983/735746457600],
[[[1, 7], [2, 16], [6, 1]], 782773/919683072000],
[[[1, 7], [3, 1], [5, 4]], 1/30000],
[[[1, 7], [3, 3], [5, 3]], 1/27000],
[[[1, 7], [3, 3], [7, 2]], 5/31752],
[[[1, 7], [3, 4], [11, 1]], 1/28512],
[[[1, 7], [3, 5], [5, 2]], 1/97200],
[[[1, 7], [5, 2], [11, 1]], 1/13200],
[[[1, 7], [5, 3], [7, 1]], 1/10500],
[[[1, 8], [2, 1], [5, 4]], 1/12000],
[[[1, 8], [2, 3], [3, 7]], 1/839808],
[[[1, 8], [2, 5], [3, 6]], 1/1119744],
[[[1, 8], [2, 5], [5, 3]], 17/230400],
[[[1, 8], [2, 5], [7, 2]], 757/9031680],
[[[1, 8], [2, 7], [4, 5]], 1/24576],
[[[1, 8], [2, 7], [11, 1]], 1/135168],
[[[1, 8], [2, 7], [22, 1]], 1/811008],
[[[1, 8], [2, 9], [4, 4]], 19/196608],
[[[1, 8], [2, 9], [5, 2]], 1/3686400],
[[[1, 8], [2, 9], [6, 4]], 1/2985984],
[[[1, 8], [2, 9], [10, 2]], 17/3072000],
[[[1, 8], [2, 11], [4, 3]], 241/3538944],
[[[1, 8], [2, 11], [6, 3]], 3761/477757440],
[[[1, 8], [2, 11], [14, 1]], 839/123863040],
[[[1, 8], [2, 13], [4, 2]], 1669/88473600],
[[[1, 8], [2, 13], [6, 2]], 26443/3185049600],
[[[1, 8], [2, 13], [10, 1]], 77243/18579456000],
[[[1, 8], [2, 15], [4, 1]], 13499/7431782400],
[[[1, 8], [2, 15], [6, 1]], 2503/1672151040],
[[[1, 9], [2, 2], [3, 7]], 1/279936],
[[[1, 9], [2, 4], [3, 6]], 5/559872],
[[[1, 9], [2, 4], [5, 3]], 107/768000],
[[[1, 9], [2, 4], [7, 2]], 19/184320],
[[[1, 9], [2, 6], [3, 5]], 19/4478976],
[[[1, 9], [2, 6], [4, 5]], 7/589824],
[[[1, 9], [2, 6], [11, 1]], 7/506880],
[[[1, 9], [2, 8], [3, 4]], 1/2985984],
[[[1, 9], [2, 8], [4, 4]], 19/196608],
[[[1, 9], [2, 8], [5, 2]], 17/3072000],
[[[1, 9], [2, 8], [10, 2]], 1/3686400],
[[[1, 9], [2, 10], [4, 3]], 79/1474560],
[[[1, 9], [2, 10], [6, 3]], 401/477757440],
[[[1, 9], [2, 10], [7, 1]], 11/41287680],
[[[1, 9], [2, 10], [14, 1]], 71/30965760],
[[[1, 9], [2, 12], [4, 2]], 569/29491200],
[[[1, 9], [2, 12], [6, 2]], 2431/637009920],
[[[1, 9], [2, 12], [10, 1]], 463/176947200],
[[[1, 9], [2, 14], [4, 1]], 38903/14863564800],
[[[1, 9], [2, 14], [6, 1]], 2477/1592524800],
[[[1, 9], [3, 2], [5, 3]], 1/18000],
[[[1, 9], [3, 2], [7, 2]], 41/846720],
[[[1, 9], [3, 3], [11, 1]], 7/570240],
[[[1, 9], [3, 4], [5, 2]], 1/25920],
[[[1, 9], [3, 5], [7, 1]], 1/36288],
[[[1, 9], [3, 5], [9, 1]], 1/46656],
[[[1, 9], [3, 6], [5, 1]], 1/139968],
[[[1, 9], [5, 1], [7, 2]], 1/33600],
[[[1, 9], [7, 1], [11, 1]], 1/1379840],
[[[1, 10], [2, 1], [3, 7]], 1/279936],
[[[1, 10], [2, 3], [3, 6]], 17/839808],
[[[1, 10], [2, 3], [5, 3]], 319/2880000],
[[[1, 10], [2, 3], [7, 2]], 1177/21073920],
[[[1, 10], [2, 5], [3, 5]], 1/41472],
[[[1, 10], [2, 5], [4, 5]], 1/589824],
[[[1, 10], [2, 5], [11, 1]], 487/42577920],
[[[1, 10], [2, 7], [3, 4]], 491/59719680],
[[[1, 10], [2, 7], [4, 4]], 121/1474560],
[[[1, 10], [2, 7], [5, 2]], 331/13824000],
[[[1, 10], [2, 9], [3, 3]], 401/477757440],
[[[1, 10], [2, 9], [4, 3]], 79/1474560],
[[[1, 10], [2, 9], [7, 1]], 71/30965760],
[[[1, 10], [2, 9], [14, 1]], 11/41287680],
[[[1, 10], [2, 11], [3, 2]], 1/42467328],
[[[1, 10], [2, 11], [4, 2]], 203/17694720],
[[[1, 10], [2, 11], [5, 1]], 13/176947200],
[[[1, 10], [2, 11], [6, 2]], 149/212336640],
[[[1, 10], [2, 11], [10, 1]], 137/176947200],
[[[1, 10], [2, 13], [4, 1]], 4543/2123366400],
[[[1, 10], [2, 13], [6, 1]], 47/53084160],
[[[1, 11], [2, 2], [3, 6]], 5/279936],
[[[1, 11], [2, 2], [5, 3]], 9449/241920000],
[[[1, 11], [2, 2], [7, 2]], 1517/113799168],
[[[1, 11], [2, 4], [3, 5]], 329/7464960],
[[[1, 11], [2, 4], [11, 1]], 199/42577920],
[[[1, 11], [2, 6], [3, 4]], 5671/179159040],
[[[1, 11], [2, 6], [4, 4]], 199/5160960],
[[[1, 11], [2, 6], [5, 2]], 127/3072000],
[[[1, 11], [2, 8], [3, 3]], 3761/477757440],
[[[1, 11], [2, 8], [4, 3]], 241/3538944],
[[[1, 11], [2, 8], [7, 1]], 839/123863040],
[[[1, 11], [2, 10], [3, 2]], 149/212336640],
[[[1, 11], [2, 10], [4, 2]], 203/17694720],
[[[1, 11], [2, 10], [5, 1]], 137/176947200],
[[[1, 11], [2, 10], [6, 2]], 1/42467328],
[[[1, 11], [2, 10], [10, 1]], 13/176947200],
[[[1, 11], [2, 12], [3, 1]], 1/53084160],
[[[1, 11], [2, 12], [4, 1]], 1/983040],
[[[1, 11], [2, 12], [6, 1]], 5/21233664],
[[[1, 11], [3, 1], [5, 3]], 17/1260000],
[[[1, 11], [3, 1], [7, 2]], 47/11854080],
[[[1, 11], [3, 2], [11, 1]], 1/967680],
[[[1, 11], [3, 3], [5, 2]], 1297/54432000],
[[[1, 11], [3, 4], [7, 1]], 13/1088640],
[[[1, 11], [3, 4], [9, 1]], 7/933120],
[[[1, 11], [3, 5], [5, 1]], 49/4665600],
[[[1, 11], [5, 1], [11, 1]], 1/4838400],
[[[1, 11], [5, 2], [7, 1]], 1091/169344000],
[[[1, 12], [2, 1], [3, 6]], 7/1119744],
[[[1, 12], [2, 1], [5, 3]], 47/8064000],
[[[1, 12], [2, 1], [7, 2]], 6137/4470681600],
[[[1, 12], [2, 3], [3, 5]], 689/19595520],
[[[1, 12], [2, 3], [11, 1]], 19/19353600],
[[[1, 12], [2, 5], [3, 4]], 2869/59719680],
[[[1, 12], [2, 5], [4, 4]], 197/24772608],
[[[1, 12], [2, 5], [5, 2]], 6737/193536000],
[[[1, 12], [2, 7], [3, 3]], 529/23887872],
[[[1, 12], [2, 7], [4, 3]], 293/5898240],
[[[1, 12], [2, 7], [7, 1]], 431/45158400],
[[[1, 12], [2, 9], [3, 2]], 2431/637009920],
[[[1, 12], [2, 9], [4, 2]], 569/29491200],
[[[1, 12], [2, 9], [5, 1]], 463/176947200],
[[[1, 12], [2, 11], [3, 1]], 5/21233664],
[[[1, 12], [2, 11], [4, 1]], 1/983040],
[[[1, 12], [2, 11], [6, 1]], 1/53084160],
[[[1, 13], [2, 2], [3, 5]], 223/17418240],
[[[1, 13], [2, 2], [11, 1]], 17/159667200],
[[[1, 13], [2, 4], [3, 4]], 4883/139345920],
[[[1, 13], [2, 4], [4, 4]], 73/123863040],
[[[1, 13], [2, 4], [5, 2]], 8929/580608000],
[[[1, 13], [2, 6], [3, 3]], 356221/12541132800],
[[[1, 13], [2, 6], [4, 3]], 4849/265420800],
[[[1, 13], [2, 6], [7, 1]], 28199/3901685760],
[[[1, 13], [2, 8], [3, 2]], 26443/3185049600],
[[[1, 13], [2, 8], [4, 2]], 1669/88473600],
[[[1, 13], [2, 8], [5, 1]], 77243/18579456000],
[[[1, 13], [2, 10], [3, 1]], 47/53084160],
[[[1, 13], [2, 10], [4, 1]], 4543/2123366400],
[[[1, 13], [3, 1], [11, 1]], 13/638668800],
[[[1, 13], [3, 2], [5, 2]], 341/108864000],
[[[1, 13], [3, 3], [7, 1]], 509/304819200],
[[[1, 13], [3, 3], [9, 1]], 11/17418240],
[[[1, 13], [3, 4], [5, 1]], 31/10450944],
[[[1, 14], [2, 1], [3, 5]], 127/65318400],
[[[1, 14], [2, 1], [11, 1]], 1/178827264],
[[[1, 14], [2, 3], [3, 4]], 244067/18811699200],
[[[1, 14], [2, 3], [5, 2]], 175453/47900160000],
[[[1, 14], [2, 5], [3, 3]], 476627/25082265600],
[[[1, 14], [2, 5], [4, 3]], 209381/61312204800],
[[[1, 14], [2, 5], [7, 1]], 166459/53648179200],
[[[1, 14], [2, 7], [3, 2]], 102017/11147673600],
[[[1, 14], [2, 7], [4, 2]], 1747/174182400],
[[[1, 14], [2, 7], [5, 1]], 99823/27869184000],
[[[1, 14], [2, 9], [3, 1]], 2477/1592524800],
[[[1, 14], [2, 9], [4, 1]], 38903/14863564800],
[[[1, 15], [2, 2], [3, 4]], 33281/13795246080],
[[[1, 15], [2, 2], [5, 2]], 703/1520640000],
[[[1, 15], [2, 4], [3, 3]], 1929457/275904921600],
[[[1, 15], [2, 4], [4, 3]], 129253/429185433600],
[[[1, 15], [2, 4], [7, 1]], 4769/6131220480],
[[[1, 15], [2, 6], [3, 2]], 565129/100329062400],
[[[1, 15], [2, 6], [4, 2]], 92581/30656102400],
[[[1, 15], [2, 6], [5, 1]], 26141/14598144000],
[[[1, 15], [2, 8], [3, 1]], 2503/1672151040],
[[[1, 15], [2, 8], [4, 1]], 13499/7431782400],
[[[1, 15], [3, 1], [5, 2]], 2843/31933440000],
[[[1, 15], [3, 2], [7, 1]], 389/4470681600],
[[[1, 15], [3, 2], [9, 1]], 13/1045094400],
[[[1, 15], [3, 3], [5, 1]], 46919/172440576000],
[[[1, 15], [5, 1], [7, 1]], 19/1197504000],
[[[1, 16], [2, 1], [3, 4]], 14701/68976230400],
[[[1, 16], [2, 1], [5, 2]], 7673/268240896000],
[[[1, 16], [2, 3], [3, 3]], 593941/413857382400],
[[[1, 16], [2, 3], [4, 3]], 4079/429185433600],
[[[1, 16], [2, 3], [7, 1]], 367/3200601600],
[[[1, 16], [2, 5], [3, 2]], 249103/122624409600],
[[[1, 16], [2, 5], [4, 2]], 6767/13005619200],
[[[1, 16], [2, 5], [5, 1]], 496297/919683072000],
[[[1, 16], [2, 7], [3, 1]], 782773/919683072000],
[[[1, 16], [2, 7], [4, 1]], 555983/735746457600],
[[[1, 17], [2, 2], [3, 3]], 780053/4828336128000],
[[[1, 17], [2, 2], [7, 1]], 435581/45064470528000],
[[[1, 17], [2, 4], [3, 2]], 1129307/2575112601600],
[[[1, 17], [2, 4], [4, 2]], 45977/919683072000],
[[[1, 17], [2, 4], [5, 1]], 91669/919683072000],
[[[1, 17], [2, 6], [3, 1]], 411709/1379524608000],
[[[1, 17], [2, 6], [4, 1]], 28571/147149291520],
[[[1, 17], [3, 1], [7, 1]], 11057/7510745088000],
[[[1, 17], [3, 1], [9, 1]], 1/14631321600],
[[[1, 17], [3, 2], [5, 1]], 6683/804722688000],
[[[1, 18], [2, 1], [3, 3]], 25423/2759049216000],
[[[1, 18], [2, 1], [7, 1]], 137/321889075200],
[[[1, 18], [2, 3], [3, 2]], 4377193/77253378048000],
[[[1, 18], [2, 3], [4, 2]], 31601/12875563008000],
[[[1, 18], [2, 3], [5, 1]], 723497/64377815040000],
[[[1, 18], [2, 5], [3, 1]], 12151/183936614400],
[[[1, 18], [2, 5], [4, 1]], 160591/5150225203200],
[[[1, 19], [2, 2], [3, 2]], 36433/8583708672000],
[[[1, 19], [2, 2], [4, 2]], 613/12875563008000],
[[[1, 19], [2, 2], [5, 1]], 144479/193133445120000],
[[[1, 19], [2, 4], [3, 1]], 2851/306561024000],
[[[1, 19], [2, 4], [4, 1]], 479653/154506756096000],
[[[1, 19], [3, 1], [5, 1]], 457/4598415360000],
[[[1, 20], [2, 1], [3, 2]], 4331/25751126016000],
[[[1, 20], [2, 1], [5, 1]], 1037/38626689024000],
[[[1, 20], [2, 3], [3, 1]], 109/132434362368],
[[[1, 20], [2, 3], [4, 1]], 2593/14046068736000],
[[[1, 21], [2, 2], [3, 1]], 4247/96566722560000],
[[[1, 21], [2, 2], [4, 1]], 587/98322481152000],
[[[1, 22], [2, 1], [3, 1]], 1741/1351934115840000],
[[[1, 22], [2, 1], [4, 1]], 29/360515764224000],
[[[2, 3], [14, 2], [22, 1]], 1/2156],
[[[2, 5], [6, 1], [14, 3]], 1/4116],
[[[2, 5], [10, 2], [14, 2]], 1/9800],
[[[2, 7], [6, 1], [10, 4]], 1/30000],
[[[2, 7], [6, 3], [10, 3]], 1/27000],
[[[2, 7], [6, 3], [14, 2]], 5/31752],
[[[2, 7], [6, 4], [22, 1]], 1/28512],
[[[2, 7], [6, 5], [10, 2]], 1/97200],
[[[2, 7], [10, 2], [22, 1]], 1/13200],
[[[2, 7], [10, 3], [14, 1]], 1/10500],
[[[2, 9], [6, 2], [10, 3]], 1/18000],
[[[2, 9], [6, 2], [14, 2]], 41/846720],
[[[2, 9], [6, 3], [22, 1]], 7/570240],
[[[2, 9], [6, 4], [10, 2]], 1/25920],
[[[2, 9], [6, 5], [14, 1]], 1/36288],
[[[2, 9], [6, 5], [18, 1]], 1/46656],
[[[2, 9], [6, 6], [10, 1]], 1/139968],
[[[2, 9], [10, 1], [14, 2]], 1/33600],
[[[2, 9], [14, 1], [22, 1]], 1/1379840],
[[[2, 11], [6, 1], [10, 3]], 17/1260000],
[[[2, 11], [6, 1], [14, 2]], 47/11854080],
[[[2, 11], [6, 2], [22, 1]], 1/967680],
[[[2, 11], [6, 3], [10, 2]], 1297/54432000],
[[[2, 11], [6, 4], [14, 1]], 13/1088640],
[[[2, 11], [6, 4], [18, 1]], 7/933120],
[[[2, 11], [6, 5], [10, 1]], 49/4665600],
[[[2, 11], [10, 1], [22, 1]], 1/4838400],
[[[2, 11], [10, 2], [14, 1]], 1091/169344000],
[[[2, 13], [6, 1], [22, 1]], 13/638668800],
[[[2, 13], [6, 2], [10, 2]], 341/108864000],
[[[2, 13], [6, 3], [14, 1]], 509/304819200],
[[[2, 13], [6, 3], [18, 1]], 11/17418240],
[[[2, 13], [6, 4], [10, 1]], 31/10450944],
[[[2, 15], [6, 1], [10, 2]], 2843/31933440000],
[[[2, 15], [6, 2], [14, 1]], 389/4470681600],
[[[2, 15], [6, 2], [18, 1]], 13/1045094400],
[[[2, 15], [6, 3], [10, 1]], 46919/172440576000],
[[[2, 15], [10, 1], [14, 1]], 19/1197504000],
[[[2, 17], [6, 1], [14, 1]], 11057/7510745088000],
[[[2, 17], [6, 1], [18, 1]], 1/14631321600],
[[[2, 17], [6, 2], [10, 1]], 6683/804722688000],
[[[2, 19], [6, 1], [10, 1]], 457/4598415360000],
[[[1, 1], [2, 2], [14, 2], [22, 1]], 1/2156],
[[[1, 1], [2, 4], [4, 1], [14, 3]], 1/5488],
[[[1, 1], [2, 4], [6, 1], [14, 3]], 1/4116],
[[[1, 1], [2, 4], [10, 2], [14, 2]], 1/9800],
[[[1, 1], [2, 6], [6, 1], [10, 4]], 1/15000],
[[[1, 1], [2, 6], [6, 3], [10, 3]], 1/18000],
[[[1, 1], [2, 6], [6, 3], [14, 2]], 1/4536],
[[[1, 1], [2, 6], [6, 4], [22, 1]], 1/14256],
[[[1, 1], [2, 6], [6, 5], [10, 2]], 1/97200],
[[[1, 1], [2, 6], [10, 2], [22, 1]], 1/2640],
[[[1, 1], [2, 6], [10, 3], [14, 1]], 1/4200],
[[[1, 1], [2, 8], [5, 1], [10, 3]], 1/12000],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 1/4000],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 79/211680],
[[[1, 1], [2, 8], [6, 3], [22, 1]], 31/285120],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 13/97200],
[[[1, 1], [2, 8], [6, 5], [14, 1]], 19/326592],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 1/15552],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 1/69984],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 31/117600],
[[[1, 1], [2, 8], [14, 1], [22, 1]], 41/2483712],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 5/279936],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1/93312],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 19/576000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 367/31610880],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 69/560000],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 691/11854080],
[[[1, 1], [2, 10], [6, 2], [22, 1]], 199/10644480],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 4999/27216000],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 349/3265920],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 23/311040],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 71/1166400],
[[[1, 1], [2, 10], [10, 1], [22, 1]], 29/5322240],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 551/6773760],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 37/5598720],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 1/155520],
[[[1, 1], [2, 12], [4, 1], [22, 1]], 1/14192640],
[[[1, 1], [2, 12], [5, 1], [10, 2]], 11/48384000],
[[[1, 1], [2, 12], [6, 1], [22, 1]], 431/638668800],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 20693/435456000],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 1823/65318400],
[[[1, 1], [2, 12], [6, 3], [18, 1]], 1/82944],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 1421/37324800],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 569/783820800],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 431/348364800],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 41/145152000],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 237443/95800320000],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 91909/40236134400],
[[[1, 1], [2, 14], [6, 2], [18, 1]], 37/87091200],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 148543/24634368000],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 443/838252800],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 137/4926873600],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 13/143700480],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 383/75107450880],
[[[1, 1], [2, 16], [5, 1], [10, 1]], 1/8128512000],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 1338251/22532235264000],
[[[1, 1], [2, 16], [6, 1], [18, 1]], 17/4877107200],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 119153/402361344000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 7687/19313344512000],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 9929/4291854336000],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 83/3218890752000],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 43/114960384000],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 11617/2299207680000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 71/38626689024000],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 101/4291854336000],
[[[1, 2], [2, 1], [7, 2], [11, 1]], 1/2156],
[[[1, 2], [2, 3], [4, 1], [14, 3]], 1/5488],
[[[1, 2], [2, 5], [6, 1], [10, 4]], 1/30000],
[[[1, 2], [2, 5], [6, 3], [10, 3]], 1/54000],
[[[1, 2], [2, 5], [6, 3], [14, 2]], 1/15876],
[[[1, 2], [2, 5], [6, 4], [22, 1]], 1/28512],
[[[1, 2], [2, 5], [10, 2], [22, 1]], 7/13200],
[[[1, 2], [2, 5], [10, 3], [14, 1]], 1/7000],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 1/64000],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 5/50176],
[[[1, 2], [2, 7], [5, 1], [10, 3]], 1/2400],
[[[1, 2], [2, 7], [6, 2], [10, 3]], 11/36000],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 25/42336],
[[[1, 2], [2, 7], [6, 3], [22, 1]], 13/57024],
[[[1, 2], [2, 7], [6, 4], [10, 2]], 1/8640],
[[[1, 2], [2, 7], [6, 5], [14, 1]], 11/326592],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 1/15552],
[[[1, 2], [2, 7], [6, 6], [10, 1]], 1/139968],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 1/1568],
[[[1, 2], [2, 7], [14, 1], [22, 1]], 89/887040],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 5/93312],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 7/93312],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 13/559872],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 31/144000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 4091/31610880],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 13/373248],
[[[1, 2], [2, 9], [4, 2], [22, 1]], 71/7096320],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 11/30000],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 47/169344],
[[[1, 2], [2, 9], [6, 2], [22, 1]], 577/5322240],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 191/432000],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 151/653184],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 1/4860],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 1/9720],
[[[1, 2], [2, 9], [10, 1], [22, 1]], 779/17740800],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 191/576000],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 1/14580],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 1/62208],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 17/311040],
[[[1, 2], [2, 11], [4, 1], [22, 1]], 1/483840],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 373/14929920],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 1/7741440],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 59/2688000],
[[[1, 2], [2, 11], [5, 1], [10, 2]], 29/4838400],
[[[1, 2], [2, 11], [6, 1], [22, 1]], 709/91238400],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 3911/16128000],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 28417/182891520],
[[[1, 2], [2, 11], [6, 3], [18, 1]], 451/5806080],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 4049/26127360],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 613/43545600],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 1/1360800],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 20813/1045094400],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 3989/580608000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 2299/418037760],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 14603/17882726400],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 258751/10644480000],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 899273/40236134400],
[[[1, 2], [2, 13], [6, 2], [18, 1]], 899/174182400],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 747547/15676416000],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 213043/33530112000],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 4969/5748019200],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 167/22992076800],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 16067/6897623040],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 4349/23471078400],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 5441/13138329600],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 1769/107296358400],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 29/315392000],
[[[1, 2], [2, 15], [5, 1], [10, 1]], 1/162570240],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 29611/32188907520],
[[[1, 2], [2, 15], [6, 1], [18, 1]], 167/2438553600],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 12637/3193344000],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 116141/6437781504000],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 18989/204374016000],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 401/292626432000],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 7003/402361344000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 121/14631321600],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 3284219/32188907520000],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 11/97542144000],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 611/459841536000],
[[[1, 3], [2, 2], [4, 1], [7, 3]], 1/5488],
[[[1, 3], [2, 4], [4, 3], [7, 2]], 1/25088],
[[[1, 3], [2, 4], [4, 3], [14, 2]], 1/25088],
[[[1, 3], [2, 4], [10, 2], [22, 1]], 1/4400],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 1/32000],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 23/50176],
[[[1, 3], [2, 6], [4, 3], [22, 1]], 1/33792],
[[[1, 3], [2, 6], [5, 1], [10, 3]], 7/12000],
[[[1, 3], [2, 6], [6, 2], [10, 3]], 1/9000],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 1/3528],
[[[1, 3], [2, 6], [6, 3], [22, 1]], 1/6336],
[[[1, 3], [2, 6], [6, 4], [10, 2]], 1/48600],
[[[1, 3], [2, 6], [6, 5], [14, 1]], 1/326592],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 1/46656],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 13/23520],
[[[1, 3], [2, 6], [14, 1], [22, 1]], 1/5376],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 5/93312],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 7/31104],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 1/10368],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 1/69984],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 7/16000],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 1031/2257920],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 5/93312],
[[[1, 3], [2, 8], [4, 2], [22, 1]], 361/3548160],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 25/497664],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 1/36864],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 1/38400],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 1/2400],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 19/40320],
[[[1, 3], [2, 8], [6, 2], [22, 1]], 179/760320],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 299/777600],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 113/653184],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 11/46656],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 7/116640],
[[[1, 3], [2, 8], [10, 1], [22, 1]], 29/211200],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 433/806400],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 91/466560],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 7/41472],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 1/207360],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 11/93312],
[[[1, 3], [2, 10], [4, 1], [22, 1]], 11/552960],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 2543/14929920],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 5/1548288],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 6091/32256000],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 53/1244160],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 47/3010560],
[[[1, 3], [2, 10], [5, 1], [10, 2]], 779/16128000],
[[[1, 3], [2, 10], [6, 1], [22, 1]], 335/8515584],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 5459/10368000],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 2201/6531840],
[[[1, 3], [2, 10], [6, 3], [18, 1]], 61/290304],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 1589/6220800],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 4849/52254720],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 73/4838400],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 3719/34836480],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 451/8064000],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 30347/418037760],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 66337/4470681600],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 997/92897280],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 37/15482880],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 13/2150400],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 37811/348364800],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 74503/731566080],
[[[1, 3], [2, 12], [6, 2], [18, 1]], 3761/130636800],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 176623/1045094400],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 3649/101606400],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 5749/574801920],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 1919/7664025600],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 153163/6897623040],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 67427/26824089600],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 820759/91968307200],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 57643/107296358400],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 65473/25546752000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 12499/15328051200],
[[[1, 3], [2, 14], [5, 1], [10, 1]], 17/145152000],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 163633/22992076800],
[[[1, 3], [2, 14], [6, 1], [18, 1]], 139/209018880],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 1471219/57480192000],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 516493/1609445376000],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 917233/643778150400],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 6577/229920768000],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 254113/804722688000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 19039/64377815040],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 56773/53648179200],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 36419/12875563008000],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 129211/4291854336000],
[[[1, 4], [2, 1], [3, 1], [7, 3]], 1/4116],
[[[1, 4], [2, 1], [4, 1], [7, 3]], 1/5488],
[[[1, 4], [2, 1], [5, 2], [7, 2]], 1/9800],
[[[1, 4], [2, 3], [4, 3], [7, 2]], 1/25088],
[[[1, 4], [2, 3], [4, 3], [14, 2]], 1/25088],
[[[1, 4], [2, 3], [5, 2], [11, 1]], 1/4400],
[[[1, 4], [2, 5], [4, 2], [7, 2]], 3/50176],
[[[1, 4], [2, 5], [4, 2], [10, 3]], 1/64000],
[[[1, 4], [2, 5], [4, 2], [14, 2]], 3/7168],
[[[1, 4], [2, 5], [4, 3], [11, 1]], 1/11264],
[[[1, 4], [2, 5], [4, 3], [22, 1]], 1/8448],
[[[1, 4], [2, 5], [5, 1], [10, 3]], 1/4000],
[[[1, 4], [2, 5], [6, 2], [14, 2]], 1/56448],
[[[1, 4], [2, 5], [6, 3], [22, 1]], 1/38016],
[[[1, 4], [2, 5], [7, 1], [11, 1]], 1/118272],
[[[1, 4], [2, 5], [10, 1], [14, 2]], 1/6720],
[[[1, 4], [2, 5], [14, 1], [22, 1]], 13/118272],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 5/279936],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 7/31104],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 1/3456],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 1/559872],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 1/3000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 85/150528],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 7/373248],
[[[1, 4], [2, 7], [4, 2], [22, 1]], 53/168960],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 29/497664],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 7/36864],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 13/153600],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 7/221184],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 1/57344],
[[[1, 4], [2, 7], [6, 1], [10, 3]], 1/6000],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 5/16128],
[[[1, 4], [2, 7], [6, 2], [22, 1]], 61/304128],
[[[1, 4], [2, 7], [6, 3], [10, 2]], 53/518400],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 1/27216],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 7/62208],
[[[1, 4], [2, 7], [6, 5], [10, 1]], 7/933120],
[[[1, 4], [2, 7], [10, 1], [22, 1]], 89/506880],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 23/64512],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 31/139968],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 5/10368],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 1/17280],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 17/186624],
[[[1, 4], [2, 9], [4, 1], [22, 1]], 71/887040],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 809/2985984],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 1/40320],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 1217/2304000],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 581/2488320],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 101/752640],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 1/32768],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 1/73728],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 1/81920],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 29/192000],
[[[1, 4], [2, 9], [6, 1], [22, 1]], 551/6082560],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 113/230400],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 529/1741824],
[[[1, 4], [2, 9], [6, 3], [18, 1]], 221/829440],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 427/2488320],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 9991/39191040],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 43/414720],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 227/995328],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 38599/193536000],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 13015/41803776],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 4547/46448640],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 10601/92897280],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 101/3096576],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 107/1612800],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 11/1290240],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 45877/193536000],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 6047/27095040],
[[[1, 4], [2, 11], [6, 2], [18, 1]], 461/5806080],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 42527/149299200],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 197/1935360],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 17107/313528320],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 23999/7664025600],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 6169/62705664],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 18589/1117670400],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 586807/8360755200],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 95531/15328051200],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 211543/8515584000],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 6817/479001600],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 209/193536000],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 41281/1393459200],
[[[1, 4], [2, 13], [6, 1], [18, 1]], 43/12441600],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 90119/1045094400],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 399461/137952460800],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 998147/91968307200],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 32591/107296358400],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 36731/12773376000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 90329/22992076800],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 134293/21897216000],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 45601/1207084032000],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 95351/268240896000],
[[[1, 5], [2, 2], [3, 1], [5, 4]], 1/30000],
[[[1, 5], [2, 2], [3, 3], [5, 3]], 1/54000],
[[[1, 5], [2, 2], [3, 3], [7, 2]], 1/15876],
[[[1, 5], [2, 2], [3, 4], [11, 1]], 1/28512],
[[[1, 5], [2, 2], [5, 2], [11, 1]], 7/13200],
[[[1, 5], [2, 2], [5, 3], [7, 1]], 1/7000],
[[[1, 5], [2, 4], [3, 2], [7, 2]], 1/56448],
[[[1, 5], [2, 4], [3, 3], [11, 1]], 1/38016],
[[[1, 5], [2, 4], [4, 2], [5, 3]], 1/64000],
[[[1, 5], [2, 4], [4, 2], [7, 2]], 3/7168],
[[[1, 5], [2, 4], [4, 2], [14, 2]], 3/50176],
[[[1, 5], [2, 4], [4, 3], [11, 1]], 1/8448],
[[[1, 5], [2, 4], [4, 3], [22, 1]], 1/11264],
[[[1, 5], [2, 4], [5, 1], [7, 2]], 1/6720],
[[[1, 5], [2, 4], [5, 3], [10, 1]], 1/4000],
[[[1, 5], [2, 4], [7, 1], [11, 1]], 13/118272],
[[[1, 5], [2, 4], [14, 1], [22, 1]], 1/118272],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 1/147456],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 7/93312],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 1/3456],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 1/10368],
[[[1, 5], [2, 6], [4, 1], [7, 2]], 1/43008],
[[[1, 5], [2, 6], [4, 1], [10, 3]], 1/12800],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 25/100352],
[[[1, 5], [2, 6], [4, 2], [11, 1]], 7/67584],
[[[1, 5], [2, 6], [4, 2], [22, 1]], 1/3072],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 1/51200],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 1/124416],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 1/1536],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 1/12800],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 7/221184],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 3/57344],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 1/14336],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 1/147456],
[[[1, 5], [2, 6], [5, 1], [11, 1]], 1/168960],
[[[1, 5], [2, 6], [6, 1], [10, 3]], 1/144000],
[[[1, 5], [2, 6], [6, 1], [14, 2]], 1/16128],
[[[1, 5], [2, 6], [6, 2], [22, 1]], 17/304128],
[[[1, 5], [2, 6], [6, 4], [18, 1]], 1/62208],
[[[1, 5], [2, 6], [10, 1], [22, 1]], 7/84480],
[[[1, 5], [2, 6], [10, 2], [14, 1]], 41/537600],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 37/373248],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 17/31104],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 1/5760],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 1/46656],
[[[1, 5], [2, 8], [4, 1], [22, 1]], 281/2027520],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 137/995328],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 7/92160],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 91/153600],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 137/497664],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 13/35840],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 41/294912],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 7/73728],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 1/16384],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 1/147456],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 89/460800],
[[[1, 5], [2, 8], [6, 1], [22, 1]], 113/1216512],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 47/276480],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 89/870912],
[[[1, 5], [2, 8], [6, 3], [18, 1]], 13/82944],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 269/7464960],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 479/1492992],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 1271/4354560],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 413/1990656],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 461/1382400],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 559/1105920],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 647/2257920],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 2561/6635520],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 23/143360],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 1607/6451200],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 373/5160960],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 6881/27648000],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 2707/11612160],
[[[1, 5], [2, 10], [6, 2], [18, 1]], 31/276480],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 32921/149299200],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 349/2419200],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 5183/34836480],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 37897/2090188800],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 22111/104509440],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 937/16257024],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 6661/26542080],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 15793/464486400],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 50927/464486400],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 3571/39813120],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 199/38707200],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 4421/66355200],
[[[1, 5], [2, 12], [6, 1], [18, 1]], 49/4976640],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 53261/348364800],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 1316141/91968307200],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 741397/16721510400],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 2291/1277337600],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 36437/2554675200],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 388123/15328051200],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 425317/20901888000],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 378377/1287556300800],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 48877/20437401600],
[[[1, 5], [3, 1], [5, 2], [11, 1]], 1/6600],
[[[1, 5], [3, 1], [5, 3], [7, 1]], 1/21000],
[[[1, 5], [3, 1], [7, 2], [9, 1]], 1/3528],
[[[1, 5], [3, 2], [5, 1], [7, 2]], 1/5880],
[[[1, 5], [3, 2], [7, 1], [11, 1]], 1/3696],
[[[1, 5], [3, 3], [5, 1], [11, 1]], 1/11880],
[[[1, 5], [3, 3], [5, 2], [7, 1]], 1/37800],
[[[1, 5], [5, 1], [7, 1], [11, 1]], 1/2310],
[[[1, 6], [2, 1], [3, 1], [5, 4]], 1/15000],
[[[1, 6], [2, 1], [3, 3], [5, 3]], 1/18000],
[[[1, 6], [2, 1], [3, 3], [7, 2]], 1/4536],
[[[1, 6], [2, 1], [3, 4], [11, 1]], 1/14256],
[[[1, 6], [2, 1], [3, 5], [5, 2]], 1/97200],
[[[1, 6], [2, 1], [5, 2], [11, 1]], 1/2640],
[[[1, 6], [2, 1], [5, 3], [7, 1]], 1/4200],
[[[1, 6], [2, 3], [3, 2], [5, 3]], 1/9000],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 1/3528],
[[[1, 6], [2, 3], [3, 3], [11, 1]], 1/6336],
[[[1, 6], [2, 3], [3, 4], [5, 2]], 1/48600],
[[[1, 6], [2, 3], [3, 5], [7, 1]], 1/326592],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 1/46656],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 1/32000],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 23/50176],
[[[1, 6], [2, 3], [4, 3], [11, 1]], 1/33792],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 13/23520],
[[[1, 6], [2, 3], [5, 3], [10, 1]], 7/12000],
[[[1, 6], [2, 3], [7, 1], [11, 1]], 1/5376],
[[[1, 6], [2, 5], [3, 1], [5, 3]], 1/144000],
[[[1, 6], [2, 5], [3, 1], [7, 2]], 1/16128],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 1/147456],
[[[1, 6], [2, 5], [3, 2], [11, 1]], 17/304128],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 7/221184],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 1/10368],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 1/124416],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 1/3456],
[[[1, 6], [2, 5], [3, 4], [9, 1]], 1/62208],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 7/93312],
[[[1, 6], [2, 5], [4, 1], [5, 3]], 1/12800],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 25/100352],
[[[1, 6], [2, 5], [4, 1], [14, 2]], 1/43008],
[[[1, 6], [2, 5], [4, 2], [11, 1]], 1/3072],
[[[1, 6], [2, 5], [4, 2], [22, 1]], 7/67584],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 1/12800],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 1/1536],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 1/51200],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 1/14336],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 3/57344],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 1/147456],
[[[1, 6], [2, 5], [5, 1], [11, 1]], 7/84480],
[[[1, 6], [2, 5], [5, 2], [7, 1]], 41/537600],
[[[1, 6], [2, 5], [10, 1], [22, 1]], 1/168960],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 1/49152],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 1/93312],
[[[1, 6], [2, 7], [3, 1], [11, 1]], 1/405504],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 5/294912],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 5/20736],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 11/41472],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 1/41472],
[[[1, 6], [2, 7], [4, 1], [11, 1]], 1/45056],
[[[1, 6], [2, 7], [4, 1], [22, 1]], 5/50688],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 7/307200],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 1/82944],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 5/36864],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 13/51200],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 7/82944],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 1/12288],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 1/3072],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 3/81920],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 37/294912],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 1/3072],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 7/81920],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 1/36864],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 7/76800],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 1/153600],
[[[1, 6], [2, 7], [6, 1], [22, 1]], 5/135168],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 11/1382400],
[[[1, 6], [2, 7], [6, 3], [14, 1]], 11/1741824],
[[[1, 6], [2, 7], [6, 3], [18, 1]], 17/497664],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 133/746496],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 77/207360],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 431/5971968],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 473/1843200],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 1291/3981312],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 647/1720320],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 23/49152],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 1/2880],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 359/921600],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 71/368640],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 3149/27648000],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 1247/11612160],
[[[1, 6], [2, 9], [6, 2], [18, 1]], 79/995328],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 121/1843200],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 1/10240],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 205/995328],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 479/9289728],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 6557/29859840],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 101/967680],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 11149/26542080],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 2927/30965760],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 12197/51609600],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 61/241920],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 487/38707200],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 18311/232243200],
[[[1, 6], [2, 11], [6, 1], [18, 1]], 215/13934592],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 227/1658880],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 329047/8360755200],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 78097/796262400],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 169/27869184],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 9137/232243200],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 1321/15482880],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 177971/4644864000],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 12613/9196830720],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 433793/45984153600],
[[[1, 7], [2, 2], [3, 2], [5, 3]], 11/36000],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 25/42336],
[[[1, 7], [2, 2], [3, 3], [11, 1]], 13/57024],
[[[1, 7], [2, 2], [3, 4], [5, 2]], 1/8640],
[[[1, 7], [2, 2], [3, 5], [7, 1]], 11/326592],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 1/15552],
[[[1, 7], [2, 2], [3, 6], [5, 1]], 1/139968],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 1/64000],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 5/50176],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 1/1568],
[[[1, 7], [2, 2], [5, 3], [10, 1]], 1/2400],
[[[1, 7], [2, 2], [7, 1], [11, 1]], 89/887040],
[[[1, 7], [2, 4], [3, 1], [5, 3]], 1/6000],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 5/16128],
[[[1, 7], [2, 4], [3, 2], [11, 1]], 61/304128],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 7/221184],
[[[1, 7], [2, 4], [3, 3], [5, 2]], 53/518400],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 29/497664],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 1/3456],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 1/27216],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 7/62208],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 7/373248],
[[[1, 7], [2, 4], [3, 5], [5, 1]], 7/933120],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 7/31104],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 1/559872],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 5/279936],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 1/3000],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 85/150528],
[[[1, 7], [2, 4], [4, 2], [11, 1]], 53/168960],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 13/153600],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 7/36864],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 1/57344],
[[[1, 7], [2, 4], [5, 1], [11, 1]], 89/506880],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 23/64512],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 1/36864],
[[[1, 7], [2, 6], [3, 1], [11, 1]], 5/135168],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 37/294912],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 11/1382400],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 1/41472],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 7/82944],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 11/41472],
[[[1, 7], [2, 6], [3, 3], [7, 1]], 11/1741824],
[[[1, 7], [2, 6], [3, 3], [9, 1]], 17/497664],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 1/82944],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 5/20736],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 1/93312],
[[[1, 7], [2, 6], [4, 1], [11, 1]], 5/50688],
[[[1, 7], [2, 6], [4, 1], [22, 1]], 1/45056],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 13/51200],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 5/36864],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 7/307200],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 1/3072],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 1/12288],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 7/81920],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 5/294912],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 1/3072],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 3/81920],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 1/49152],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 1/153600],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 7/76800],
[[[1, 7], [2, 6], [6, 1], [22, 1]], 1/405504],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 1/24576],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 49/1492992],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 13/884736],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 17/82944],
[[[1, 7], [2, 8], [3, 2], [9, 1]], 1/663552],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 1/27648],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 1/204800],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 7/1492992],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 1/12800],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 251/3981312],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 3/81920],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 271/1290240],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 1/20480],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 59/294912],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 31/73728],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 23/92160],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 25/147456],
[[[1, 7], [2, 8], [5, 1], [7, 1]], 1/645120],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 427/27648000],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 61/3870720],
[[[1, 7], [2, 8], [6, 2], [18, 1]], 1/41472],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 29/9953280],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 43/1612800],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 343/2488320],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 487/6635520],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 3013/29859840],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 247/2580480],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 1705/5308416],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 587/4423680],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 1823/7372800],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 157/491520],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 7/460800],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 713/15482880],
[[[1, 7], [2, 10], [6, 1], [18, 1]], 43/3317760],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 101/1843200],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 82927/1393459200],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 45661/398131200],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 601/51609600],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 307/5160960],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 13997/92897280],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 6521/165888000],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 9161/2388787200],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 363029/16721510400],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 1/3360],
[[[1, 7], [3, 1], [7, 1], [11, 1]], 1/18480],
[[[1, 7], [3, 2], [5, 1], [11, 1]], 1/7920],
[[[1, 7], [3, 2], [5, 2], [7, 1]], 11/50400],
[[[1, 7], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 7], [3, 3], [7, 1], [9, 1]], 1/6048],
[[[1, 7], [3, 4], [5, 1], [7, 1]], 23/272160],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 1/19440],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 1/4000],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 79/211680],
[[[1, 8], [2, 1], [3, 3], [11, 1]], 31/285120],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 13/97200],
[[[1, 8], [2, 1], [3, 5], [7, 1]], 19/326592],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 1/15552],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 1/69984],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 31/117600],
[[[1, 8], [2, 1], [5, 3], [10, 1]], 1/12000],
[[[1, 8], [2, 1], [7, 1], [11, 1]], 41/2483712],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 1/2400],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 19/40320],
[[[1, 8], [2, 3], [3, 2], [11, 1]], 179/760320],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 299/777600],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 25/497664],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 1/10368],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 113/653184],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 11/46656],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 5/93312],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 7/116640],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 7/31104],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 1/69984],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 5/93312],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 7/16000],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 1031/2257920],
[[[1, 8], [2, 3], [4, 2], [11, 1]], 361/3548160],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 1/38400],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 1/36864],
[[[1, 8], [2, 3], [5, 1], [11, 1]], 29/211200],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 433/806400],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 1/147456],
[[[1, 8], [2, 5], [3, 1], [11, 1]], 113/1216512],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 41/294912],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 47/276480],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 137/497664],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 1/5760],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 89/870912],
[[[1, 8], [2, 5], [3, 3], [9, 1]], 13/82944],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 137/995328],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 269/7464960],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 17/31104],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 1/46656],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 37/373248],
[[[1, 8], [2, 5], [4, 1], [11, 1]], 281/2027520],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 91/153600],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 7/92160],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 13/35840],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 1/16384],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 7/73728],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 89/460800],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 25/147456],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 427/27648000],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 59/294912],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 1/27648],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 61/3870720],
[[[1, 8], [2, 7], [3, 2], [9, 1]], 1/41472],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 251/3981312],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 29/9953280],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 17/82944],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 7/1492992],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 49/1492992],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 1/12800],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 1/204800],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 271/1290240],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 3/81920],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 23/92160],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 13/884736],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 31/73728],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 1/20480],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 1/24576],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 43/1612800],
[[[1, 8], [2, 7], [6, 2], [18, 1]], 1/663552],
[[[1, 8], [2, 7], [10, 1], [14, 1]], 1/645120],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 13/491520],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 61/1658880],
[[[1, 8], [2, 9], [3, 1], [7, 1]], 1/1769472],
[[[1, 8], [2, 9], [3, 1], [9, 1]], 1/1327104],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 1/196608],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 17/276480],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 1/663552],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 1/69120],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 29/5160960],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 13/322560],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 119/7372800],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 169/1769472],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 13/122880],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 281/2457600],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 47/276480],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 7/737280],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 683/61931520],
[[[1, 8], [2, 9], [6, 1], [18, 1]], 7/1327104],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 217/33177600],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 623/13271040],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 1751/26542080],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 89/7372800],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 173/3686400],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 11/81920],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 1069/53084160],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 73/11612160],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 6577/232243200],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 11/30000],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 47/169344],
[[[1, 9], [2, 2], [3, 2], [11, 1]], 577/5322240],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 191/432000],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 151/653184],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 1/4860],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 13/373248],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 1/9720],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 7/93312],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 13/559872],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 5/93312],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 31/144000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 4091/31610880],
[[[1, 9], [2, 2], [4, 2], [11, 1]], 71/7096320],
[[[1, 9], [2, 2], [5, 1], [11, 1]], 779/17740800],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 191/576000],
[[[1, 9], [2, 4], [3, 1], [11, 1]], 551/6082560],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 1/32768],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 113/230400],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 581/2488320],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 1/17280],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 529/1741824],
[[[1, 9], [2, 4], [3, 3], [9, 1]], 221/829440],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 809/2985984],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 427/2488320],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 5/10368],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 17/186624],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 31/139968],
[[[1, 9], [2, 4], [4, 1], [11, 1]], 71/887040],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 1217/2304000],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 1/40320],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 101/752640],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 1/81920],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 1/73728],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 29/192000],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 71/368640],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 3149/27648000],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 23/49152],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 1247/11612160],
[[[1, 9], [2, 6], [3, 2], [9, 1]], 79/995328],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 1291/3981312],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 121/1843200],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 77/207360],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 431/5971968],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 133/746496],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 473/1843200],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 647/1720320],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 359/921600],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 1/2880],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 1/10240],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 47/276480],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 1/663552],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 683/61931520],
[[[1, 9], [2, 8], [3, 1], [9, 1]], 7/1327104],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 169/1769472],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 217/33177600],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 17/276480],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 1/69120],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 61/1658880],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 13/322560],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 29/5160960],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 281/2457600],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 1/196608],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 13/122880],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 119/7372800],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 13/491520],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 7/737280],
[[[1, 9], [2, 8], [6, 1], [14, 1]], 1/1769472],
[[[1, 9], [2, 8], [6, 1], [18, 1]], 1/1327104],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 7/1105920],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 1/5898240],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 887/53084160],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 13/21233664],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 29/17694720],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 7/3686400],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 1609/106168320],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 31/4423680],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 47/2764800],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 79/1474560],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 61/14745600],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 3047/530841600],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 2089/106168320],
[[[1, 9], [3, 1], [5, 1], [11, 1]], 19/1108800],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 29/252000],
[[[1, 9], [3, 1], [5, 2], [9, 1]], 1/21600],
[[[1, 9], [3, 2], [7, 1], [9, 1]], 1/30240],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 173/1360800],
[[[1, 9], [3, 3], [5, 1], [9, 1]], 1/12960],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 69/560000],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 691/11854080],
[[[1, 10], [2, 1], [3, 2], [11, 1]], 199/10644480],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 4999/27216000],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 349/3265920],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 23/311040],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 71/1166400],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1/93312],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 5/279936],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 19/576000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 367/31610880],
[[[1, 10], [2, 1], [5, 1], [11, 1]], 29/5322240],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 551/6773760],
[[[1, 10], [2, 3], [3, 1], [11, 1]], 335/8515584],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 5459/10368000],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 53/1244160],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 1/207360],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 2201/6531840],
[[[1, 10], [2, 3], [3, 3], [9, 1]], 61/290304],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 2543/14929920],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 1589/6220800],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 7/41472],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 11/93312],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 91/466560],
[[[1, 10], [2, 3], [4, 1], [11, 1]], 11/552960],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 6091/32256000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 5/1548288],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 47/3010560],
[[[1, 10], [2, 3], [5, 2], [10, 1]], 779/16128000],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 373/5160960],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 6881/27648000],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 2561/6635520],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 2707/11612160],
[[[1, 10], [2, 5], [3, 2], [9, 1]], 31/276480],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 559/1105920],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 32921/149299200],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 1271/4354560],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 413/1990656],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 479/1492992],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 461/1382400],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 647/2257920],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 1607/6451200],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 23/143360],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 349/2419200],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 157/491520],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 713/15482880],
[[[1, 10], [2, 7], [3, 1], [9, 1]], 43/3317760],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 1705/5308416],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 101/1843200],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 487/6635520],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 3013/29859840],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 343/2488320],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 247/2580480],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 1823/7372800],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 587/4423680],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 7/460800],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 79/1474560],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 61/14745600],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 29/17694720],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 1609/106168320],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 887/53084160],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 47/2764800],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 13/21233664],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 31/4423680],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 7/3686400],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 7/1105920],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 1/5898240],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 7/11796480],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 107/35389440],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 167/26542080],
[[[1, 11], [2, 2], [3, 1], [11, 1]], 709/91238400],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 3911/16128000],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 28417/182891520],
[[[1, 11], [2, 2], [3, 3], [9, 1]], 451/5806080],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 373/14929920],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 4049/26127360],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 1/62208],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 17/311040],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 1/14580],
[[[1, 11], [2, 2], [4, 1], [11, 1]], 1/483840],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 59/2688000],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 1/7741440],
[[[1, 11], [2, 2], [5, 2], [10, 1]], 29/4838400],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 11/1290240],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 45877/193536000],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 10601/92897280],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 6047/27095040],
[[[1, 11], [2, 4], [3, 2], [9, 1]], 461/5806080],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 13015/41803776],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 42527/149299200],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 43/414720],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 227/995328],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 9991/39191040],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 38599/193536000],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 4547/46448640],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 107/1612800],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 101/3096576],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 197/1935360],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 61/241920],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 18311/232243200],
[[[1, 11], [2, 6], [3, 1], [9, 1]], 215/13934592],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 11149/26542080],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 227/1658880],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 479/9289728],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 6557/29859840],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 205/995328],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 101/967680],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 12197/51609600],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 2927/30965760],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 487/38707200],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 11/81920],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 1069/53084160],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 1751/26542080],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 623/13271040],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 173/3686400],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 89/7372800],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 167/26542080],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 107/35389440],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 7/11796480],
[[[1, 11], [3, 1], [7, 1], [9, 1]], 1/2257920],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 2743/101606400],
[[[1, 11], [3, 2], [5, 1], [9, 1]], 19/1814400],
[[[1, 12], [2, 1], [3, 1], [11, 1]], 431/638668800],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 20693/435456000],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 1823/65318400],
[[[1, 12], [2, 1], [3, 3], [9, 1]], 1/82944],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 1421/37324800],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 1/155520],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 37/5598720],
[[[1, 12], [2, 1], [4, 1], [11, 1]], 1/14192640],
[[[1, 12], [2, 1], [5, 2], [10, 1]], 11/48384000],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 37811/348364800],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 997/92897280],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 74503/731566080],
[[[1, 12], [2, 3], [3, 2], [9, 1]], 3761/130636800],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 30347/418037760],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 176623/1045094400],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 73/4838400],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 3719/34836480],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 4849/52254720],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 451/8064000],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 66337/4470681600],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 13/2150400],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 37/15482880],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 3649/101606400],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 3571/39813120],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 4421/66355200],
[[[1, 12], [2, 5], [3, 1], [9, 1]], 49/4976640],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 6661/26542080],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 53261/348364800],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 37897/2090188800],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 22111/104509440],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 5183/34836480],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 937/16257024],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 50927/464486400],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 15793/464486400],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 199/38707200],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 13997/92897280],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 6521/165888000],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 45661/398131200],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 82927/1393459200],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 307/5160960],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 601/51609600],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 2089/106168320],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 3047/530841600],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 258751/10644480000],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 899273/40236134400],
[[[1, 13], [2, 2], [3, 2], [9, 1]], 899/174182400],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 2299/418037760],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 747547/15676416000],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 1/1360800],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 20813/1045094400],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 613/43545600],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 3989/580608000],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 14603/17882726400],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 213043/33530112000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 6817/479001600],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 41281/1393459200],
[[[1, 13], [2, 4], [3, 1], [9, 1]], 43/12441600],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 586807/8360755200],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 90119/1045094400],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 23999/7664025600],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 6169/62705664],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 17107/313528320],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 18589/1117670400],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 211543/8515584000],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 95531/15328051200],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 209/193536000],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 1321/15482880],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 177971/4644864000],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 78097/796262400],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 329047/8360755200],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 9137/232243200],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 169/27869184],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 6577/232243200],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 73/11612160],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 3649/2395008000],
[[[1, 13], [3, 1], [5, 1], [9, 1]], 11/87091200],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 237443/95800320000],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 91909/40236134400],
[[[1, 14], [2, 1], [3, 2], [9, 1]], 37/87091200],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 148543/24634368000],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 431/348364800],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 569/783820800],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 41/145152000],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 443/838252800],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 12499/15328051200],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 163633/22992076800],
[[[1, 14], [2, 3], [3, 1], [9, 1]], 139/209018880],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 820759/91968307200],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 1471219/57480192000],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 1919/7664025600],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 153163/6897623040],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 5749/574801920],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 67427/26824089600],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 65473/25546752000],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 57643/107296358400],
[[[1, 14], [2, 3], [5, 1], [10, 1]], 17/145152000],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 388123/15328051200],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 425317/20901888000],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 741397/16721510400],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 1316141/91968307200],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 36437/2554675200],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 2291/1277337600],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 363029/16721510400],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 9161/2388787200],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 29611/32188907520],
[[[1, 15], [2, 2], [3, 1], [9, 1]], 167/2438553600],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 5441/13138329600],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 12637/3193344000],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 167/22992076800],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 16067/6897623040],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 4969/5748019200],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 4349/23471078400],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 29/315392000],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 1769/107296358400],
[[[1, 15], [2, 2], [5, 1], [10, 1]], 1/162570240],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 90329/22992076800],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 134293/21897216000],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 998147/91968307200],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 399461/137952460800],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 36731/12773376000],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 32591/107296358400],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 433793/45984153600],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 12613/9196830720],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 1338251/22532235264000],
[[[1, 16], [2, 1], [3, 1], [9, 1]], 17/4877107200],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 119153/402361344000],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 13/143700480],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 137/4926873600],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 383/75107450880],
[[[1, 16], [2, 1], [5, 1], [10, 1]], 1/8128512000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 19039/64377815040],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 56773/53648179200],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 917233/643778150400],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 516493/1609445376000],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 254113/804722688000],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 6577/229920768000],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 48877/20437401600],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 378377/1287556300800],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 121/14631321600],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 3284219/32188907520000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 18989/204374016000],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 116141/6437781504000],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 7003/402361344000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 401/292626432000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 95351/268240896000],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 45601/1207084032000],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 11617/2299207680000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 9929/4291854336000],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 7687/19313344512000],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 43/114960384000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 83/3218890752000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 129211/4291854336000],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 36419/12875563008000],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 611/459841536000],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 11/97542144000],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 101/4291854336000],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 71/38626689024000],
[[[2, 5], [6, 1], [10, 2], [22, 1]], 1/6600],
[[[2, 5], [6, 1], [10, 3], [14, 1]], 1/21000],
[[[2, 5], [6, 1], [14, 2], [18, 1]], 1/3528],
[[[2, 5], [6, 2], [10, 1], [14, 2]], 1/5880],
[[[2, 5], [6, 2], [14, 1], [22, 1]], 1/3696],
[[[2, 5], [6, 3], [10, 1], [22, 1]], 1/11880],
[[[2, 5], [6, 3], [10, 2], [14, 1]], 1/37800],
[[[2, 5], [10, 1], [14, 1], [22, 1]], 1/2310],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 1/3360],
[[[2, 7], [6, 1], [14, 1], [22, 1]], 1/18480],
[[[2, 7], [6, 2], [10, 1], [22, 1]], 1/7920],
[[[2, 7], [6, 2], [10, 2], [14, 1]], 11/50400],
[[[2, 7], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[2, 7], [6, 3], [14, 1], [18, 1]], 1/6048],
[[[2, 7], [6, 4], [10, 1], [14, 1]], 23/272160],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 1/19440],
[[[2, 9], [6, 1], [10, 1], [22, 1]], 19/1108800],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 29/252000],
[[[2, 9], [6, 1], [10, 2], [18, 1]], 1/21600],
[[[2, 9], [6, 2], [14, 1], [18, 1]], 1/30240],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 173/1360800],
[[[2, 9], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[2, 11], [6, 1], [14, 1], [18, 1]], 1/2257920],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 2743/101606400],
[[[2, 11], [6, 2], [10, 1], [18, 1]], 19/1814400],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 3649/2395008000],
[[[2, 13], [6, 1], [10, 1], [18, 1]], 11/87091200],
[[[1, 1], [2, 4], [5, 1], [10, 1], [14, 2]], 1/1960],
[[[1, 1], [2, 4], [6, 1], [10, 2], [22, 1]], 1/3300],
[[[1, 1], [2, 4], [6, 1], [10, 3], [14, 1]], 1/21000],
[[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/1764],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 2]], 1/5880],
[[[1, 1], [2, 4], [6, 2], [14, 1], [22, 1]], 1/2772],
[[[1, 1], [2, 4], [6, 3], [10, 1], [22, 1]], 1/11880],
[[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/37800],
[[[1, 1], [2, 4], [10, 1], [14, 1], [22, 1]], 1/924],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 1/9000],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/1764],
[[[1, 1], [2, 6], [3, 1], [6, 3], [22, 1]], 1/4752],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/16200],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 13/28224],
[[[1, 1], [2, 6], [4, 1], [6, 3], [22, 1]], 1/6336],
[[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 1/64800],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 5/37632],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/3360],
[[[1, 1], [2, 6], [4, 1], [14, 1], [22, 1]], 5/29568],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 1/6000],
[[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/10800],
[[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/2100],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/1120],
[[[1, 1], [2, 6], [6, 1], [14, 1], [22, 1]], 23/55440],
[[[1, 1], [2, 6], [6, 2], [10, 1], [22, 1]], 1/1980],
[[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/2100],
[[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 1/3600],
[[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/9720],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/9720],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 7/72000],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 17/282240],
[[[1, 1], [2, 8], [3, 1], [6, 2], [22, 1]], 7/190080],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/4800],
[[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/4536],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/7776],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 17/233280],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/9000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 23/141120],
[[[1, 1], [2, 8], [4, 1], [6, 2], [22, 1]], 1/14080],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 7/51840],
[[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 17/108864],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1/10368],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 1/46656],
[[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 17/466560],
[[[1, 1], [2, 8], [4, 1], [8, 1], [22, 1]], 1/1774080],
[[[1, 1], [2, 8], [4, 1], [10, 1], [22, 1]], 7/126720],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/5376],
[[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 1], [2, 8], [6, 1], [10, 1], [22, 1]], 13/69300],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 169/252000],
[[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 1/3600],
[[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 13/45360],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 109/194400],
[[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 10], [3, 1], [6, 1], [22, 1]], 1/2128896],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 479/6048000],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/17280],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 7/311040],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 101/1166400],
[[[1, 1], [2, 10], [4, 1], [6, 1], [22, 1]], 1/157696],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 49/432000],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 173/2177280],
[[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 1/23040],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 59/3732480],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 667/9331200],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 37/2016000],
[[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 19/1008000],
[[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 7/518400],
[[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/1254400],
[[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 107/10160640],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 29987/101606400],
[[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 227/1814400],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 167/72576000],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1/264600],
[[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 1/3483648],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 313/21772800],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 4877/290304000],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 59/5080320],
[[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 1/258048],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 23/6531840],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 2539/104509440],
[[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 227/1117670400],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 1/215040],
[[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 11/9676800],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 8713/299376000],
[[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 43/12441600],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 47/1117670400],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 30529/57480192000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 14293/26824089600],
[[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 1/23224320],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 5809/22992076800],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 135071/57480192000],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 157/3193344000],
[[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 13/580608000],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 3799/804722688000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 769/160944537600],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 5627/100590336000],
[[[1, 2], [2, 3], [4, 2], [7, 1], [11, 1]], 1/9856],
[[[1, 2], [2, 3], [4, 2], [7, 2], [8, 1]], 1/6272],
[[[1, 2], [2, 3], [4, 2], [8, 1], [14, 2]], 1/6272],
[[[1, 2], [2, 3], [4, 2], [14, 1], [22, 1]], 1/9856],
[[[1, 2], [2, 3], [5, 1], [10, 1], [14, 2]], 1/1960],
[[[1, 2], [2, 3], [6, 1], [10, 2], [22, 1]], 1/6600],
[[[1, 2], [2, 3], [6, 1], [14, 2], [18, 1]], 1/3528],
[[[1, 2], [2, 3], [6, 2], [14, 1], [22, 1]], 1/11088],
[[[1, 2], [2, 3], [10, 1], [14, 1], [22, 1]], 1/1540],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 1/6000],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/1176],
[[[1, 2], [2, 5], [3, 1], [6, 3], [22, 1]], 1/2376],
[[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/16200],
[[[1, 2], [2, 5], [3, 2], [6, 2], [22, 1]], 1/3168],
[[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 1/10800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 1/2016],
[[[1, 2], [2, 5], [4, 1], [6, 3], [22, 1]], 1/4752],
[[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 1/64800],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 1/8000],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 23/37632],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 1/1470],
[[[1, 2], [2, 5], [4, 1], [14, 1], [22, 1]], 23/29568],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/3136],
[[[1, 2], [2, 5], [4, 2], [6, 2], [22, 1]], 5/25344],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/13824],
[[[1, 2], [2, 5], [4, 2], [8, 1], [22, 1]], 1/8448],
[[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/10752],
[[[1, 2], [2, 5], [4, 2], [10, 1], [22, 1]], 1/14080],
[[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/44800],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 1/3000],
[[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/10800],
[[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/840],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/1568],
[[[1, 2], [2, 5], [6, 1], [14, 1], [22, 1]], 1/1584],
[[[1, 2], [2, 5], [6, 2], [10, 1], [22, 1]], 1/1980],
[[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 13/50400],
[[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 1/3600],
[[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 5/18144],
[[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 1/54432],
[[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 1/19440],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 3/8000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 11/23520],
[[[1, 2], [2, 7], [3, 1], [6, 2], [22, 1]], 31/95040],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 29/43200],
[[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 13/27216],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1/2592],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 17/116640],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/5400],
[[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 5/12096],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 1/5184],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 1/5184],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 23/72000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 19/20160],
[[[1, 2], [2, 7], [4, 1], [6, 2], [22, 1]], 59/126720],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 1/3240],
[[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 25/108864],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 7/31104],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 1/23328],
[[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 11/233280],
[[[1, 2], [2, 7], [4, 1], [8, 1], [22, 1]], 1/80640],
[[[1, 2], [2, 7], [4, 1], [10, 1], [22, 1]], 13/31680],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 33/44800],
[[[1, 2], [2, 7], [4, 2], [6, 1], [22, 1]], 1/9216],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1/9600],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 41/145152],
[[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 5/41472],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 13/124416],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 11/207360],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 1/1800],
[[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 1/12960],
[[[1, 2], [2, 7], [6, 1], [10, 1], [22, 1]], 23/39600],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 11/10080],
[[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1/1800],
[[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 29/45360],
[[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 169/272160],
[[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 1/1620],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7/62208],
[[[1, 2], [2, 9], [3, 1], [6, 1], [22, 1]], 11/967680],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 571/1008000],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 47/90720],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 23/103680],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 139/291600],
[[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1/30240],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 79/518400],
[[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 7/115200],
[[[1, 2], [2, 9], [4, 1], [6, 1], [22, 1]], 211/2365440],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1141/1728000],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 307/544320],
[[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 17/51840],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 409/3732480],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 2957/9331200],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 1261/8064000],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/107520],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 7/51200],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 23/138240],
[[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 11/165888],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 107/1244160],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 43/276480],
[[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 53/1128960],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 79/806400],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 13/63000],
[[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 31/259200],
[[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 41/2257920],
[[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 1451/20321280],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 6911/7257600],
[[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 71/151200],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 31/622080],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 5749/145152000],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 1621/25401600],
[[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 1/138240],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 4013/21772800],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 173/29030400],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 57257/290304000],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 233/1451520],
[[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 113/1935360],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 1207/26127360],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 26087/104509440],
[[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 5947/1117670400],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 803/11289600],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 1343/54190080],
[[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 71/11612160],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 499/23224320],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 179/2764800],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 43/3225600],
[[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 199/9676800],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 2389/12192768],
[[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 2627/87091200],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 37/6451200],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 8747/6706022400],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 103553/8211456000],
[[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 1/12902400],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 45341/3832012800],
[[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 13/9953280],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 127007/22992076800],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 11039/256608000],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 1553/1064448000],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 5899/3832012800],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 1531/232243200],
[[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 431/580608000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 677/3832012800],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 71707/402361344000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 7019/40236134400],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 712183/402361344000],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 19/13412044800],
[[[1, 3], [2, 2], [3, 1], [5, 2], [11, 1]], 1/6600],
[[[1, 3], [2, 2], [3, 1], [7, 2], [9, 1]], 1/3528],
[[[1, 3], [2, 2], [3, 2], [7, 1], [11, 1]], 1/11088],
[[[1, 3], [2, 2], [4, 2], [7, 1], [11, 1]], 1/9856],
[[[1, 3], [2, 2], [4, 2], [7, 2], [8, 1]], 1/6272],
[[[1, 3], [2, 2], [4, 2], [8, 1], [14, 2]], 1/6272],
[[[1, 3], [2, 2], [4, 2], [14, 1], [22, 1]], 1/9856],
[[[1, 3], [2, 2], [5, 1], [7, 1], [11, 1]], 1/1540],
[[[1, 3], [2, 2], [5, 1], [7, 2], [10, 1]], 1/1960],
[[[1, 3], [2, 4], [3, 1], [4, 3], [11, 1]], 1/16896],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 1/18000],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/3528],
[[[1, 3], [2, 4], [3, 1], [6, 3], [22, 1]], 1/4752],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/9216],
[[[1, 3], [2, 4], [3, 2], [6, 2], [11, 1]], 1/3168],
[[[1, 3], [2, 4], [3, 2], [6, 2], [22, 1]], 1/1584],
[[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 1/10800],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 1/28224],
[[[1, 3], [2, 4], [4, 1], [6, 3], [22, 1]], 1/19008],
[[[1, 3], [2, 4], [4, 1], [7, 1], [11, 1]], 1/9856],
[[[1, 3], [2, 4], [4, 1], [7, 2], [8, 1]], 1/12544],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/1792],
[[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 3/7840],
[[[1, 3], [2, 4], [4, 1], [14, 1], [22, 1]], 1/1408],
[[[1, 3], [2, 4], [4, 2], [5, 1], [11, 1]], 1/14080],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 1/3136],
[[[1, 3], [2, 4], [4, 2], [6, 2], [22, 1]], 5/25344],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/13824],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 1/3584],
[[[1, 3], [2, 4], [4, 2], [8, 1], [11, 1]], 1/2816],
[[[1, 3], [2, 4], [4, 2], [8, 1], [22, 1]], 1/2112],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/2688],
[[[1, 3], [2, 4], [4, 2], [10, 1], [22, 1]], 1/7040],
[[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/44800],
[[[1, 3], [2, 4], [4, 3], [6, 1], [22, 1]], 1/16896],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/9216],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 1/6000],
[[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 1/1400],
[[[1, 3], [2, 4], [6, 1], [10, 1], [14, 2]], 1/23520],
[[[1, 3], [2, 4], [6, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 3], [2, 4], [6, 2], [10, 1], [22, 1]], 1/7920],
[[[1, 3], [2, 4], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 29/72000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 11/14112],
[[[1, 3], [2, 6], [3, 1], [6, 2], [22, 1]], 13/19008],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/1728],
[[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 1/3402],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 1/2592],
[[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 17/233280],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 23/43200],
[[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 11/12096],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 1/1728],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1/2592],
[[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/8640],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 1/4000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 31/28224],
[[[1, 3], [2, 6], [4, 1], [6, 2], [22, 1]], 17/25344],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 1/5760],
[[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 1/13608],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 5/31104],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/46656],
[[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/93312],
[[[1, 3], [2, 6], [4, 1], [8, 1], [22, 1]], 1/14080],
[[[1, 3], [2, 6], [4, 1], [10, 1], [22, 1]], 3/3520],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 113/134400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 1/12800],
[[[1, 3], [2, 6], [4, 2], [6, 1], [22, 1]], 53/101376],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 19/115200],
[[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 23/72576],
[[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 5/20736],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 17/124416],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 11/207360],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 13/38400],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 1/3072],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 1/9216],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/5376],
[[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1/27648],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 1/6912],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/46080],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 1/1800],
[[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 3], [2, 6], [6, 1], [10, 1], [22, 1]], 1/1584],
[[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 29/50400],
[[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 1/2160],
[[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 5/9072],
[[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 17/90720],
[[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 23/93312],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 29/124416],
[[[1, 3], [2, 8], [3, 1], [6, 1], [22, 1]], 83/1064448],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 553/432000],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 103/90720],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 1/1620],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 23/29160],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 1/3456],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 37/120960],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 101/129600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 13/28800],
[[[1, 3], [2, 8], [4, 1], [6, 1], [22, 1]], 197/506880],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 43/38400],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 97/108864],
[[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 1/1440],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 151/746496],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 683/1866240],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 89/192000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 31/322560],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 53/92160],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 901/967680],
[[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 1/2592],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 607/1244160],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 427/829440],
[[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 431/1128960],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 121/201600],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 5/43008],
[[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 1/55296],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 5/36864],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 11/92160],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 23/36000],
[[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 13/51840],
[[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 89/806400],
[[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 127/725760],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 541/483840],
[[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 1/1350],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 191/466560],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 101/829440],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 10261/48384000],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 1831/5080320],
[[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 317/5806080],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 1609/2177280],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 1/13824],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 2473/29030400],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 1371/1792000],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 7267/10160640],
[[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 3391/11612160],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 5273/26127360],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 5867/7464960],
[[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 1/22680],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 943/2508800],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 71/6451200],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 14923/54190080],
[[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 793/11612160],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 1063/4644864],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 719/1382400],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 157/1075200],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 47/1290240],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 7/115200],
[[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 577/4838400],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 1199/2116800],
[[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 643/5806080],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 1141/12441600],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 677/46448640],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 18941/1341204480],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 544037/5225472000],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 17/7741440],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 11/4838400],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 235409/2438553600],
[[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 187/13934592],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 91613/2090188800],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 288149/1045094400],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 15709/1064448000],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 6539/239500800],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 2227/23224320],
[[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 709/82944000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 1973/410572800],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 4241/15328051200],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 18079/7185024000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 27101/11496038400],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 584407/28740096000],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 941/16094453760],
[[[1, 3], [3, 1], [5, 1], [7, 1], [11, 1]], 1/4620],
[[[1, 4], [2, 1], [3, 1], [5, 2], [11, 1]], 1/3300],
[[[1, 4], [2, 1], [3, 1], [5, 3], [7, 1]], 1/21000],
[[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/1764],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 2]], 1/5880],
[[[1, 4], [2, 1], [3, 2], [7, 1], [11, 1]], 1/2772],
[[[1, 4], [2, 1], [3, 3], [5, 1], [11, 1]], 1/11880],
[[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/37800],
[[[1, 4], [2, 1], [5, 1], [7, 1], [11, 1]], 1/924],
[[[1, 4], [2, 1], [5, 1], [7, 2], [10, 1]], 1/1960],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 1/3136],
[[[1, 4], [2, 3], [3, 1], [4, 3], [11, 1]], 1/16896],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 2]], 1/23520],
[[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 1/6000],
[[[1, 4], [2, 3], [3, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 1/28224],
[[[1, 4], [2, 3], [3, 2], [4, 2], [11, 1]], 5/25344],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [5, 1], [11, 1]], 1/7920],
[[[1, 4], [2, 3], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 1/18000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/3528],
[[[1, 4], [2, 3], [3, 2], [6, 2], [11, 1]], 1/1584],
[[[1, 4], [2, 3], [3, 2], [6, 2], [22, 1]], 1/3168],
[[[1, 4], [2, 3], [3, 3], [4, 1], [11, 1]], 1/19008],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/13824],
[[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 1/10800],
[[[1, 4], [2, 3], [3, 3], [6, 1], [11, 1]], 1/4752],
[[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 1/18144],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 3/7840],
[[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/16000],
[[[1, 4], [2, 3], [4, 1], [7, 1], [11, 1]], 1/1408],
[[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/1792],
[[[1, 4], [2, 3], [4, 1], [8, 1], [14, 2]], 1/12544],
[[[1, 4], [2, 3], [4, 1], [14, 1], [22, 1]], 1/9856],
[[[1, 4], [2, 3], [4, 2], [5, 1], [11, 1]], 1/7040],
[[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/44800],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/2688],
[[[1, 4], [2, 3], [4, 2], [8, 1], [11, 1]], 1/2112],
[[[1, 4], [2, 3], [4, 2], [8, 1], [22, 1]], 1/2816],
[[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 1/3584],
[[[1, 4], [2, 3], [4, 2], [10, 1], [22, 1]], 1/14080],
[[[1, 4], [2, 3], [4, 3], [6, 1], [22, 1]], 1/16896],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/9216],
[[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 1/1400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [11, 1]], 1/11264],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/3072],
[[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 1/28672],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/18816],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/8000],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/2352],
[[[1, 4], [2, 5], [3, 1], [6, 2], [22, 1]], 1/2112],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 1/8640],
[[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 1/27216],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/7776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 1/18432],
[[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1/18432],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 1/14400],
[[[1, 4], [2, 5], [3, 2], [6, 1], [11, 1]], 1/12672],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 1/2400],
[[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/8640],
[[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 1/12096],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/4320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [11, 1]], 1/14080],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 1/24000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/3136],
[[[1, 4], [2, 5], [4, 1], [6, 2], [22, 1]], 7/25344],
[[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 1/31104],
[[[1, 4], [2, 5], [4, 1], [8, 1], [11, 1]], 1/16896],
[[[1, 4], [2, 5], [4, 1], [8, 1], [22, 1]], 1/8448],
[[[1, 4], [2, 5], [4, 1], [10, 1], [22, 1]], 1/1760],
[[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 13/44800],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1/5120],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 1/6400],
[[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 1/12800],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 1/12800],
[[[1, 4], [2, 5], [4, 2], [6, 1], [22, 1]], 17/33792],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 7/115200],
[[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 5/145152],
[[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 5/41472],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 1/31104],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 1/3200],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 7/15360],
[[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/2304],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/5376],
[[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/6912],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/46080],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 1/3584],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 1/28672],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 1/18432],
[[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 4], [2, 5], [6, 1], [10, 1], [22, 1]], 7/31680],
[[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 1/7200],
[[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 29/186624],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 23/62208],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 5/27648],
[[[1, 4], [2, 7], [3, 1], [6, 1], [22, 1]], 47/253440],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 31/28800],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 1/1134],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 11/15552],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1/2160],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 13/20736],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 1/3456],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 83/120960],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 1/810],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 1/6912],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 3/3200],
[[[1, 4], [2, 7], [4, 1], [6, 1], [22, 1]], 61/101376],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 221/345600],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 1/2268],
[[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 1/1728],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 31/248832],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 5/41472],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 7/12800],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 7/23040],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 319/460800],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 211/193536],
[[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 13/20736],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 157/248832],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 23/55296],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 53/53760],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 19/17920],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 23/43008],
[[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 5/55296],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 23/36864],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 7/23040],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 1/3072],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 1/18432],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 1/40960],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1/1440],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1/5760],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 11/53760],
[[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 5/27648],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 451/967680],
[[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 1/1920],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 409/466560],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 323/414720],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 29/276480],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 1619/3456000],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 289/362880],
[[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 701/4354560],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 25/20736],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 59/103680],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 41/552960],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 5119/14515200],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 8371/6912000],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 569/483840],
[[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 251/414720],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 443/1244160],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 155/165888],
[[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 17/112896],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 667/806400],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 361/3225600],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 743/774144],
[[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 737/2903040],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 1319/1658880],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 569/460800],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 907/1612800],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 101/322560],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 173/460800],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 179/691200],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 503/691200],
[[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 793/4147200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 3385/6967296],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 8581/46448640],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 23/1935360],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 839/12192768],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 43811/116121600],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 871/23224320],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 121/5529600],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 3875/10838016],
[[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 851/13934592],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 2473/15482880],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 1861/2419200],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 3931/58060800],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 347/1990656],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 4139/8601600],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 67/1548288],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 272099/5748019200],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 3107/479001600],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 108893/6386688000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 4219/273715200],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 63821/580608000],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 149203/160944537600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/3136],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/1568],
[[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 1/3000],
[[[1, 5], [2, 2], [3, 1], [7, 1], [11, 1]], 1/1584],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/36000],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 1/2016],
[[[1, 5], [2, 2], [3, 2], [4, 2], [11, 1]], 5/25344],
[[[1, 5], [2, 2], [3, 2], [5, 1], [11, 1]], 1/1980],
[[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 13/50400],
[[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 1/3600],
[[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 1/6000],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/1176],
[[[1, 5], [2, 2], [3, 2], [6, 2], [11, 1]], 1/3168],
[[[1, 5], [2, 2], [3, 3], [4, 1], [11, 1]], 1/4752],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/13824],
[[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 1/10800],
[[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 3], [6, 1], [11, 1]], 1/2376],
[[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 5/18144],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 1/64800],
[[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 1/54432],
[[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 1/19440],
[[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/16200],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 1/1470],
[[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 1/8000],
[[[1, 5], [2, 2], [4, 1], [7, 1], [11, 1]], 23/29568],
[[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 23/37632],
[[[1, 5], [2, 2], [4, 2], [5, 1], [11, 1]], 1/14080],
[[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/44800],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/10752],
[[[1, 5], [2, 2], [4, 2], [8, 1], [11, 1]], 1/8448],
[[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 1/24000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/3136],
[[[1, 5], [2, 4], [3, 1], [4, 2], [11, 1]], 17/33792],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/76800],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 1/28672],
[[[1, 5], [2, 4], [3, 1], [5, 1], [11, 1]], 7/31680],
[[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 1/25200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 1/7200],
[[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/8000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/2352],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/18816],
[[[1, 5], [2, 4], [3, 1], [6, 2], [22, 1]], 1/12672],
[[[1, 5], [2, 4], [3, 2], [4, 1], [11, 1]], 7/25344],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 7/115200],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 5/18432],
[[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/5376],
[[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 1/18432],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 1/2400],
[[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 1/7200],
[[[1, 5], [2, 4], [3, 2], [6, 1], [11, 1]], 1/2112],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 1/14400],
[[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 1/12096],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 1/6048],
[[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 5/145152],
[[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 5/41472],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/4320],
[[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 1/12960],
[[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 1/31104],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 1/31104],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/5184],
[[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 1/27216],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/7776],
[[[1, 5], [2, 4], [4, 1], [5, 1], [11, 1]], 1/1760],
[[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 13/44800],
[[[1, 5], [2, 4], [4, 1], [8, 1], [11, 1]], 1/8448],
[[[1, 5], [2, 4], [4, 1], [8, 1], [22, 1]], 1/16896],
[[[1, 5], [2, 4], [4, 1], [10, 1], [22, 1]], 1/14080],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 7/15360],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 1/3200],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 1/6400],
[[[1, 5], [2, 4], [4, 2], [6, 1], [22, 1]], 1/11264],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1/5120],
[[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/8960],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 1/27648],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1/2688],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 1/3584],
[[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 1/28672],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 1/46656],
[[[1, 5], [2, 6], [3, 1], [4, 1], [11, 1]], 7/202752],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 17/124416],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1/9216],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 1/4608],
[[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 1/14336],
[[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 1/40960],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 1/24576],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1/6144],
[[[1, 5], [2, 6], [3, 1], [6, 1], [11, 1]], 5/101376],
[[[1, 5], [2, 6], [3, 1], [6, 1], [22, 1]], 17/101376],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 49/172800],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 5/24192],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 7/20736],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/15552],
[[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 1/193536],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 1/2592],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 1/2304],
[[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 1/9216],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 1/12288],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1/24576],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 1/8064],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 13/24192],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1/1440],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 1/2304],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 1/6912],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1/11520],
[[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 1/20736],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1/1600],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 1/76800],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1/12800],
[[[1, 5], [2, 6], [4, 1], [6, 1], [22, 1]], 67/202752],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 23/345600],
[[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 5/145152],
[[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 7/41472],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 3/12800],
[[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 1/13440],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 13/51200],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 1/3072],
[[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 5/13824],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 19/82944],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 47/829440],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 3/3584],
[[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 17/26880],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 1/5120],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1/2048],
[[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 7/55296],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 7/12288],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 17/92160],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 7/15360],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 1/4608],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 1/20480],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 7/28800],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1/107520],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 13/107520],
[[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 31/967680],
[[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 7/51840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 1/1458],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 101/82944],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 1/1920],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 1/49152],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 77/172800],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 1/1344],
[[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 179/829440],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 169/207360],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 31/25920],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 77/184320],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 133/230400],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 2161/2764800],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 73/96768],
[[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 7/12288],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 7/27648],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 673/1658880],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 71/322560],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 101/129024],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 53/153600],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 305/258048],
[[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 1/2560],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 113/110592],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 289/276480],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 209/230400],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 13/15360],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 31/46080],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 61/276480],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 241/604800],
[[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 131/829440],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 257/248832],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 3533/4644864],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 73/645120],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 67/423360],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 3569/5529600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 2377/11612160],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 71/806400],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 527/860160],
[[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 3103/23224320],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 1859/6635520],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 1793/1843200],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 2963/19353600],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 97/193536],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 2831/2764800],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 551/5529600],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 44621/209018880],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 74083/1393459200],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 20731/348364800],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 1843/34836480],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 2903/9676800],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 83707/11496038400],
[[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/1120],
[[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 1/6000],
[[[1, 6], [2, 1], [3, 1], [7, 1], [11, 1]], 23/55440],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/36000],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 13/28224],
[[[1, 6], [2, 1], [3, 2], [5, 1], [11, 1]], 1/1980],
[[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/2100],
[[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 1/3600],
[[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 1/9000],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/1764],
[[[1, 6], [2, 1], [3, 3], [4, 1], [11, 1]], 1/6336],
[[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/10800],
[[[1, 6], [2, 1], [3, 3], [6, 1], [11, 1]], 1/4752],
[[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 1/64800],
[[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/9720],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/9720],
[[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/16200],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/3360],
[[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 1/16000],
[[[1, 6], [2, 1], [4, 1], [7, 1], [11, 1]], 5/29568],
[[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 5/37632],
[[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/2100],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 1/4000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 31/28224],
[[[1, 6], [2, 3], [3, 1], [4, 2], [11, 1]], 53/101376],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/76800],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 1/9216],
[[[1, 6], [2, 3], [3, 1], [5, 1], [11, 1]], 1/1584],
[[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 29/50400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 1/2160],
[[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 29/72000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 11/14112],
[[[1, 6], [2, 3], [3, 2], [4, 1], [11, 1]], 17/25344],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 19/115200],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 5/18432],
[[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/5376],
[[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 23/43200],
[[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 1/1800],
[[[1, 6], [2, 3], [3, 2], [6, 1], [11, 1]], 13/19008],
[[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 5/9072],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 1/5760],
[[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 23/72576],
[[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 5/20736],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/8640],
[[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 17/90720],
[[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 11/12096],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 1/1728],
[[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 1/13608],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 5/31104],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 11/207360],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 17/124416],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1/2592],
[[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1/25920],
[[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 1/3402],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/93312],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/46656],
[[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 17/233280],
[[[1, 6], [2, 3], [4, 1], [5, 1], [11, 1]], 3/3520],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 113/134400],
[[[1, 6], [2, 3], [4, 1], [8, 1], [11, 1]], 1/14080],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 1/3072],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 13/38400],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 1/12800],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1/10752],
[[[1, 6], [2, 5], [3, 1], [4, 1], [11, 1]], 67/202752],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 13/51200],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 1/3072],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 1/27648],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1/2048],
[[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 7/55296],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 1/20480],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1/24576],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 7/28800],
[[[1, 6], [2, 5], [3, 1], [6, 1], [11, 1]], 17/101376],
[[[1, 6], [2, 5], [3, 1], [6, 1], [22, 1]], 5/101376],
[[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 23/345600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 1/20736],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 1/6912],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 1/3072],
[[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 5/13824],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 17/92160],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 1/9216],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 7/12288],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 1/24576],
[[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 31/967680],
[[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 7/51840],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 49/172800],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 13/24192],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 1/8064],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 1/2304],
[[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 5/145152],
[[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 7/41472],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 47/829440],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 1/2304],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 19/82944],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1/1440],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1/34560],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 5/24192],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 7/20736],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 1/2592],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 1/62208],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 17/124416],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/15552],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 1/46656],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1/12800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 3/12800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1/1600],
[[[1, 6], [2, 5], [4, 1], [6, 1], [22, 1]], 7/202752],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 17/26880],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 1/18432],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 3/3584],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 1/5376],
[[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 1/13440],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 7/15360],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 7/30720],
[[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 1/14336],
[[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 1/18432],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 1/12288],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 1/5120],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1/6144],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 1/40960],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 13/107520],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 1/193536],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 7/41472],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 17/27648],
[[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 23/516096],
[[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 7/110592],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 1/23040],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 1/1728],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 7/36864],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 7/49152],
[[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 1/276480],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 1/92160],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 1/6144],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 13/48384],
[[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 11/82944],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 37/207360],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 19/20736],
[[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 7/331776],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 23/27648],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 7/221184],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 1/6144],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 7/92160],
[[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1/48384],
[[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 5/165888],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 7/18432],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 1/4608],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 1/18432],
[[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 1/43008],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 143/921600],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 1/6912],
[[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 37/165888],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 7/124416],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 53/1658880],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1/53760],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 41/322560],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 31/107520],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1/10240],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 29/61440],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 89/172032],
[[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 29/110592],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 103/221184],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 49/184320],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 53/92160],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 7/9216],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 37/92160],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 17/276480],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 37/537600],
[[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 1/18432],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 313/331776],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 1333/1105920],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 191/552960],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 67/387072],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 8477/16588800],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 731/1658880],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 281/1843200],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 3697/7741440],
[[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 481/3317760],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 1493/6635520],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 91/172800],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 17/102400],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 145/221184],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 233/245760],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 113/1105920],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 10777/23224320],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 83/430080],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 2521/23224320],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 1117/11612160],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 763/1843200],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 7079/232243200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 23/72000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 19/20160],
[[[1, 7], [2, 2], [3, 1], [4, 2], [11, 1]], 1/9216],
[[[1, 7], [2, 2], [3, 1], [5, 1], [11, 1]], 23/39600],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 11/10080],
[[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1/1800],
[[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 3/8000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 11/23520],
[[[1, 7], [2, 2], [3, 2], [4, 1], [11, 1]], 59/126720],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1/9600],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 1/18432],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/5400],
[[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 1/1800],
[[[1, 7], [2, 2], [3, 2], [6, 1], [11, 1]], 31/95040],
[[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 29/45360],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 1/3240],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 41/145152],
[[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 5/41472],
[[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 169/272160],
[[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 1/1620],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 29/43200],
[[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 5/12096],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 1/5184],
[[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 25/108864],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 7/31104],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 11/207360],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 13/124416],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 1/5184],
[[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 1/12960],
[[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 13/27216],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1/2592],
[[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 11/233280],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 1/23328],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 17/116640],
[[[1, 7], [2, 2], [4, 1], [5, 1], [11, 1]], 13/31680],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 33/44800],
[[[1, 7], [2, 2], [4, 1], [8, 1], [11, 1]], 1/80640],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1/15360],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 1/9600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [11, 1]], 61/101376],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 319/460800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 7/23040],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 23/43008],
[[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 5/55296],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 1/40960],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 1/18432],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1/1440],
[[[1, 7], [2, 4], [3, 1], [6, 1], [11, 1]], 47/253440],
[[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 5/27648],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 221/345600],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 211/193536],
[[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 13/20736],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 7/23040],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 23/36864],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 451/967680],
[[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 1/1920],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 31/28800],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 83/120960],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 1/6912],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 1/2268],
[[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 1/1728],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 23/55296],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 1/3456],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 157/248832],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 5/27648],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 1/810],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1/5760],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 1/1134],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 11/15552],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 5/41472],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 13/20736],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 31/248832],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 23/62208],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1/2160],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 29/186624],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 7/12800],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 3/3200],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 19/17920],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 53/53760],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 1/3072],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 1/30720],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 11/53760],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 143/921600],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 1/18432],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 89/172032],
[[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 29/110592],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 37/92160],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 1/6144],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 7/9216],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 7/49152],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 37/537600],
[[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 1/18432],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 1/6144],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 1/92160],
[[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1/48384],
[[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 5/165888],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 1/4608],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 1/6912],
[[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 37/165888],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 49/184320],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 23/27648],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 103/221184],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 1/1728],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 7/18432],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 17/276480],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 13/48384],
[[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 11/82944],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 7/92160],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 53/1658880],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 19/20736],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 7/124416],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 17/27648],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 37/207360],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 7/41472],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 31/107520],
[[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 7/331776],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 41/322560],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1/53760],
[[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 1/43008],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 53/92160],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 29/61440],
[[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 23/516096],
[[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 7/110592],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 7/221184],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1/10240],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 7/36864],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 55/165888],
[[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 5/516096],
[[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 1/73728],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 17/737280],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 37/49152],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 19/368640],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 19/36864],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1/368640],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 1/80640],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 23/276480],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 293/1843200],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 19/36864],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 1/442368],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 61/442368],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 1/122880],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 7/331776],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 7/921600],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 49/368640],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 379/2580480],
[[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 49/663552],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 151/2211840],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 487/5529600],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 23/307200],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 49/138240],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 25/73728],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1/24576],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 161/331776],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 53/163840],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 23/230400],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 97/1105920],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 757/2764800],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 319/4644864],
[[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/9000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 23/141120],
[[[1, 8], [2, 1], [3, 1], [5, 1], [11, 1]], 13/69300],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 169/252000],
[[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 1/3600],
[[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 7/72000],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 17/282240],
[[[1, 8], [2, 1], [3, 2], [4, 1], [11, 1]], 1/14080],
[[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 1/7200],
[[[1, 8], [2, 1], [3, 2], [6, 1], [11, 1]], 7/190080],
[[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 13/45360],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 7/51840],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 109/194400],
[[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 1/2592],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/4800],
[[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 17/108864],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1/10368],
[[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 1/25920],
[[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/4536],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/7776],
[[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 17/466560],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 1/46656],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 17/233280],
[[[1, 8], [2, 1], [4, 1], [5, 1], [11, 1]], 7/126720],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/5376],
[[[1, 8], [2, 1], [4, 1], [8, 1], [11, 1]], 1/1774080],
[[[1, 8], [2, 3], [3, 1], [4, 1], [11, 1]], 197/506880],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 53/92160],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 31/322560],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 5/43008],
[[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 23/36000],
[[[1, 8], [2, 3], [3, 1], [6, 1], [11, 1]], 83/1064448],
[[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 127/725760],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 43/38400],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 901/967680],
[[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 1/2592],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 11/92160],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 5/36864],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 541/483840],
[[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 1/1350],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 553/432000],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 37/120960],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 97/108864],
[[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 1/1440],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 427/829440],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 607/1244160],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 101/129600],
[[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 13/51840],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 103/90720],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 1/1620],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 683/1866240],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 1/3456],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 151/746496],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 29/124416],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 23/29160],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 23/93312],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 89/192000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 13/28800],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 121/201600],
[[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 431/1128960],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 1/15360],
[[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 89/806400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 2161/2764800],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 305/258048],
[[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 1/2560],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 31/46080],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 13/15360],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 1/49152],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 241/604800],
[[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 131/829440],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 77/172800],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 73/96768],
[[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 7/12288],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 289/276480],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 77/184320],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 113/110592],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 1/1920],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 133/230400],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 61/276480],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 1/1344],
[[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 179/829440],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 673/1658880],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 31/25920],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 7/27648],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 101/82944],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 169/207360],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 1/1458],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 101/129024],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 71/322560],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 209/230400],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 53/153600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 7/331776],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 379/2580480],
[[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 49/663552],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 25/73728],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 61/442368],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 49/138240],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 19/36864],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1/24576],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 23/276480],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 1/80640],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 1/122880],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 487/5529600],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 19/36864],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 151/2211840],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 37/49152],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 293/1843200],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 55/165888],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 23/307200],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 49/368640],
[[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 5/516096],
[[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 1/73728],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 1/442368],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 7/921600],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 19/368640],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 17/737280],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 1/276480],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 23/103680],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 7/2211840],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 1343/4423680],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 17/3686400],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 1/24576],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 11/368640],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 19/552960],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 133/1843200],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 539/6635520],
[[[1, 9], [2, 2], [3, 1], [4, 1], [11, 1]], 211/2365440],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 7/51200],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/107520],
[[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 13/63000],
[[[1, 9], [2, 2], [3, 1], [6, 1], [11, 1]], 11/967680],
[[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 1451/20321280],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1141/1728000],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 23/138240],
[[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 11/165888],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 6911/7257600],
[[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 71/151200],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 571/1008000],
[[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1/30240],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 307/544320],
[[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 17/51840],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 43/276480],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 107/1244160],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 79/518400],
[[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 31/259200],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 47/90720],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 23/103680],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 2957/9331200],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 409/3732480],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 139/291600],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7/62208],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 1261/8064000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 7/115200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 79/806400],
[[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 53/1128960],
[[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 41/2257920],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 8371/6912000],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 743/774144],
[[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 737/2903040],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 173/460800],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 101/322560],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 503/691200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 793/4147200],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 1619/3456000],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 569/483840],
[[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 251/414720],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 569/460800],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 41/552960],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 1319/1658880],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 29/276480],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 5119/14515200],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 179/691200],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 289/362880],
[[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 701/4354560],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 155/165888],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 59/103680],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 443/1244160],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 323/414720],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 25/20736],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 409/466560],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 667/806400],
[[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 17/112896],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 907/1612800],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 361/3225600],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 3697/7741440],
[[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 481/3317760],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 233/245760],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 145/221184],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 191/552960],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 113/1105920],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 67/387072],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 91/172800],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 731/1658880],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 1493/6635520],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 1333/1105920],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 8477/16588800],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 313/331776],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 17/102400],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 281/1843200],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 133/1843200],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 11/368640],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 19/552960],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 1343/4423680],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 1/24576],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 17/3686400],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 23/103680],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 7/2211840],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 1/276480],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 41/737280],
[[[1, 10], [2, 1], [3, 1], [4, 1], [11, 1]], 1/157696],
[[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 19/1008000],
[[[1, 10], [2, 1], [3, 1], [6, 1], [11, 1]], 1/2128896],
[[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 107/10160640],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 49/432000],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 29987/101606400],
[[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 227/1814400],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 479/6048000],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 173/2177280],
[[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 1/23040],
[[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 7/518400],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/17280],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 7/311040],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 667/9331200],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 59/3732480],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 101/1166400],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 37/2016000],
[[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/1254400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 1371/1792000],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 14923/54190080],
[[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 793/11612160],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 7/115200],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 47/1290240],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 1199/2116800],
[[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 643/5806080],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 10261/48384000],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 7267/10160640],
[[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 3391/11612160],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 719/1382400],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 1063/4644864],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 2473/29030400],
[[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 577/4838400],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 1831/5080320],
[[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 317/5806080],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 5867/7464960],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 1/13824],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 5273/26127360],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 101/829440],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 1609/2177280],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 191/466560],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 943/2508800],
[[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 1/22680],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 157/1075200],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 71/6451200],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 527/860160],
[[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 3103/23224320],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 2831/2764800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 97/193536],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 73/645120],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 551/5529600],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 67/423360],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 1793/1843200],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 2377/11612160],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 1859/6635520],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 3533/4644864],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 3569/5529600],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 257/248832],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 2963/19353600],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 71/806400],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 757/2764800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 97/1105920],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 53/163840],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 23/230400],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 161/331776],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 41/737280],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 57257/290304000],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 1343/54190080],
[[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 71/11612160],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 2389/12192768],
[[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 2627/87091200],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 5749/145152000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 233/1451520],
[[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 113/1935360],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 179/2764800],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 499/23224320],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 173/29030400],
[[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 199/9676800],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 1621/25401600],
[[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 1/138240],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 26087/104509440],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 1207/26127360],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 4013/21772800],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 31/622080],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 803/11289600],
[[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 5947/1117670400],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 43/3225600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 3875/10838016],
[[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 851/13934592],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 4139/8601600],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 347/1990656],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 23/1935360],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 67/1548288],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 839/12192768],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 1861/2419200],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 871/23224320],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 2473/15482880],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 8581/46448640],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 43811/116121600],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 3385/6967296],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 3931/58060800],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 121/5529600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 763/1843200],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 1117/11612160],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 83/430080],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 2521/23224320],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 10777/23224320],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 539/6635520],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 4877/290304000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 8713/299376000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 43/12441600],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 167/72576000],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 59/5080320],
[[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 1/258048],
[[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 11/9676800],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1/264600],
[[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 1/3483648],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 2539/104509440],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 23/6531840],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 313/21772800],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 1/215040],
[[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 227/1117670400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 235409/2438553600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 187/13934592],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 2227/23224320],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 6539/239500800],
[[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 709/82944000],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 18941/1341204480],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 288149/1045094400],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 17/7741440],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 91613/2090188800],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 677/46448640],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 544037/5225472000],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 1141/12441600],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 15709/1064448000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 11/4838400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 2903/9676800],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 1843/34836480],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 74083/1393459200],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 20731/348364800],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 44621/209018880],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 319/4644864],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 45341/3832012800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 13/9953280],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 1531/232243200],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 5899/3832012800],
[[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 431/580608000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 8747/6706022400],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 11039/256608000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 127007/22992076800],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 103553/8211456000],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 37/6451200],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 1553/1064448000],
[[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 1/12902400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 63821/580608000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 4219/273715200],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 3107/479001600],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 108893/6386688000],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 272099/5748019200],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 7079/232243200],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 14293/26824089600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 1/23224320],
[[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 13/580608000],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 47/1117670400],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 135071/57480192000],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 5809/22992076800],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 30529/57480192000],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 157/3193344000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 584407/28740096000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 27101/11496038400],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 4241/15328051200],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 18079/7185024000],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 1973/410572800],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 83707/11496038400],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 712183/402361344000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 7019/40236134400],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 71707/402361344000],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 677/3832012800],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 149203/160944537600],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 5627/100590336000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 769/160944537600],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 3799/804722688000],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 941/16094453760],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 19/13412044800],
[[[2, 3], [6, 1], [10, 1], [14, 1], [22, 1]], 1/4620],
[[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560],
[[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[1, 1], [2, 2], [4, 1], [7, 1], [8, 1], [11, 1]], 1/2464],
[[[1, 1], [2, 2], [4, 1], [8, 1], [14, 1], [22, 1]], 1/2464],
[[[1, 1], [2, 2], [6, 1], [10, 1], [14, 1], [22, 1]], 1/4620],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 1], [2, 4], [3, 1], [6, 1], [14, 1], [22, 1]], 1/1232],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [22, 1]], 1/3960],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 1/2352],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 4], [4, 1], [6, 1], [14, 1], [22, 1]], 1/1848],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [22, 1]], 1/6336],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [22, 1]], 1/7920],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [14, 1]], 1/4200],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [22, 1]], 1/3168],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 17/50400],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/2016],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/2520],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [22, 1]], 1/3168],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/4200],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 1/7200],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 1/4536],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/17280],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/3360],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1080],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 11/25200],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 13/115200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 5/48384],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 29/241920],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 37/80640],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 23/207360],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 1/8400],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/16800],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 113/3763200],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 53/3386880],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 1/2903040],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 311/2822400],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 7/207360],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 211/4838400],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 41/9676800],
[[[1, 2], [2, 1], [3, 1], [5, 1], [7, 1], [11, 1]], 1/4620],
[[[1, 2], [2, 1], [4, 1], [7, 1], [8, 1], [11, 1]], 1/2464],
[[[1, 2], [2, 1], [4, 1], [8, 1], [14, 1], [22, 1]], 1/2464],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/5376],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [11, 1]], 1/4224],
[[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [11, 1]], 1/3696],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 2], [2, 3], [3, 1], [6, 1], [14, 1], [22, 1]], 1/924],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [22, 1]], 1/3960],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [11, 1]], 1/3520],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/2352],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 3], [4, 1], [6, 1], [14, 1], [22, 1]], 1/1848],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [22, 1]], 1/6336],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [22, 1]], 1/1760],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/5376],
[[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [14, 1]], 1/4200],
[[[1, 2], [2, 3], [6, 2], [10, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 5/9408],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [22, 1]], 1/2112],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [22, 1]], 17/15840],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/1575],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 1/864],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/1890],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 7/25344],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [22, 1]], 7/7920],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/2800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 7/28800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/1512],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 5/18144],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/2016],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 1/2520],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/945],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [22, 1]], 1/8448],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 31/86400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1/1344],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 1/3456],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 5/31104],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/4320],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/2880],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 19/10800],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 11/12960],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2880],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 1/5760],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 67/115200],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 1/1728],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 169/241920],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 17/11520],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 19/25920],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 31/69120],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 1/1400],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 5/16128],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 31/80640],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 7/23040],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 23/50400],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 29/172800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 1/4480],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 1/13824],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 17/207360],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2700],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 7/172800],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 10957/33868800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 1/12800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1612800],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 613/3386880],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 23/2903040],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 1307/1411200],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 59/207360],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 293/806400],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 31/230400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 17/1505280],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 11/1161216],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 1357/19353600],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1/1935360],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 1/143360],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 151/2419200],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 223/1916006400],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 1/614400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [11, 1]], 1/1848],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [8, 1]], 1/2352],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/5376],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [11, 1]], 1/4224],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 2]], 1/5880],
[[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [10, 1]], 1/4200],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [11, 1]], 1/924],
[[[1, 3], [2, 2], [3, 1], [6, 1], [14, 1], [22, 1]], 1/3696],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [11, 1]], 1/7920],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [11, 1]], 1/6336],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [11, 1]], 1/3960],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [9, 1]], 1/7560],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [7, 1]], 1/12600],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [11, 1]], 1/1760],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 2]], 1/9408],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/1568],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 1/1584],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [11, 1]], 1/8448],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [11, 1]], 1/8448],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [22, 1]], 1/8448],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/5376],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [11, 1]], 1/5280],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [22, 1]], 1/1056],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 5/6048],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [11, 1]], 1/6336],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/4608],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/2520],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 1/2816],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 1/1760],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/18144],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 17/25344],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/1350],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/864],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 7/10368],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 5/15552],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/3240],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 5/8064],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/2304],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 17/14400],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/2160],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 29/15120],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 1/810],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 7/7200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 23/26880],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 31/38400],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 11/12096],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 43/48384],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 31/26880],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 23/25920],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 29/69120],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 17/13440],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4608],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 23/16128],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 5/13824],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 19/20160],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 1/7680],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1152],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 59/69120],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 13/8640],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 5/10368],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 7/12960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 11/7200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 29/161280],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 11/46080],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 37/92160],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 31/86400],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 493/483840],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 11/138240],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 19/69120],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 59/115200],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 11/806400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1512],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 37/725760],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 149/67200],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 1/1296],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 37/38400],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 11/92160],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 103/115200],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 2033/13547520],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 701/5806080],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 13313/19353600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 19/645120],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 523/6451200],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 121/9676800],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 211/2150400],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 1037/3225600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 769/239500800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 191/5806080],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [11, 1]], 1/1848],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 1/2352],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [7, 2]], 1/5880],
[[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [10, 1]], 1/4200],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [11, 1]], 1/1232],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [11, 1]], 1/7920],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [11, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [11, 1]], 1/3960],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [7, 1]], 1/12600],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 1/3520],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [11, 1]], 1/1760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/1568],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/9408],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [22, 1]], 1/6336],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [11, 1]], 1/2816],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [11, 1]], 1/8448],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 1/8448],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [11, 1]], 1/1056],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 1/2520],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 1/5280],
[[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 1/7200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [11, 1]], 1/1584],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/4608],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/2016],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/2520],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 5/6048],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/21600],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [22, 1]], 1/8448],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/2240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 1/2816],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 23/25344],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 11/28800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 5/12096],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 5/10368],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 5/31104],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/12960],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 7/9216],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/10752],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/960],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/4032],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 1/8064],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/960],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1600],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1280],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 13/38400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 5/16128],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 11/80640],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 1/2880],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 17/207360],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4608],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 7/7680],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/768],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 7/13824],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1/1792],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 13/23040],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 151/115200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 29/12096],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 5/5184],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 5/5184],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1/576],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 173/138240],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 37/30720],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1/9216],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 7/92160],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 13/17280],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 13/10752],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 61/138240],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 23/23040],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 17/23040],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1152],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 5/2688],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 1/1152],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 7/7680],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 53/92160],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1/576],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 881/1354752],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 739/1451520],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 2869/1382400],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 263/967680],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 1861/3225600],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 83/967680],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 197/460800],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 251/345600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 5039/174182400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 3667/16588800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [11, 1]], 7/7920],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/2800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 5/9408],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [11, 1]], 7/25344],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/19200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/16128],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 17/15840],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/945],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/1575],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 7/28800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/7200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 1/2112],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/1512],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/2016],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/3360],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/2520],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 1/864],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/5040],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/6480],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/21600],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 5/18144],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/1890],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3240],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/17280],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 13/38400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/1600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 23/25344],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 1/2816],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 1/2016],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 1/1792],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/12800],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 7/9216],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 1/768],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 7/13824],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/960],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 11/80640],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 11/28800],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/1344],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/4032],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 5/16128],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 13/23040],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 1/1344],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/1680],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/960],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/2880],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 17/207360],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 5/12096],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 5/10368],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/12960],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 5/31104],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1280],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 7/7680],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 1/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/12800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 9/12800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 5/4032],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 1/1296],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 1/1728],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1728],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/9216],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1/10240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 1/3584],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 1/1008],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 43/27648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 17/18432],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 1/10240],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 7/9216],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 17/322560],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/1920],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 173/322560],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 7/23040],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 1/8064],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 7/6912],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 71/69120],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 11/92160],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 5/9216],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1/13824],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 7/23040],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 13/32256],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 1/9216],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 37/80640],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 1/2560],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 37/138240],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 17/30720],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 5/4608],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 23/21504],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1152],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 223/92160],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 29/34560],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 571/460800],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 47/230400],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 61/92160],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 197/276480],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 109/967680],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 3041/4838400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 1/3168],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/4200],
[[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [11, 1]], 1/3168],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1080],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 17/50400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/7200],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/2016],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/5040],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/12960],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/4536],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/2520],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 31/38400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 7/7200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 17/25344],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 11/12096],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 19/20160],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 23/16128],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 5/13824],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 1/1440],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 17/14400],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 31/26880],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 23/25920],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/1350],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 43/48384],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/1152],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/4608],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 5/8064],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 29/15120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 1/810],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/3456],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 29/69120],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/864],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 7/10368],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/2160],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/3240],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 5/15552],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 17/13440],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 23/26880],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 37/80640],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 1/2560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 9/12800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/12800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1/8064],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 1/13824],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 13/32256],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 5/4608],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 17/30720],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 1/1008],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 1/3584],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 5/9216],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 11/92160],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 1/5760],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 7/9216],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 1/10240],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 173/322560],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 17/322560],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 71/69120],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 37/138240],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 7/23040],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 5/4032],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 1/1296],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 7/6912],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 7/23040],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 17/18432],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 43/27648],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1728],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 1/1728],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 1/10240],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/9216],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1/92160],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 7/184320],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 17/129024],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 89/129024],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 11/18432],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 193/184320],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 41/184320],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 25/18432],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 89/92160],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 11/46080],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 47/552960],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 7/55296],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 67/184320],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 113/552960],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 1477/1843200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 67/115200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 1/8448],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 1/1728],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 31/80640],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 5/16128],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 23/50400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/2880],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 17/11520],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 19/25920],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 31/86400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 169/241920],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 7/23040],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 19/10800],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 11/12960],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 31/69120],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 1/5760],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/1344],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/3456],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/4320],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 5/31104],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1400],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/5376],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 5/2688],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 1/1152],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 151/115200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1152],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1/576],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 53/92160],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 1/1120],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 7/92160],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1/9216],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 13/10752],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 23/23040],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 7/7680],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 17/23040],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 29/12096],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 5/5184],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 61/138240],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 37/30720],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 173/138240],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 13/17280],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 1/576],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 5/5184],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/3840],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 67/184320],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 89/129024],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 17/129024],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 7/55296],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 47/552960],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 89/92160],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 25/18432],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 41/184320],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 11/46080],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 193/184320],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 11/18432],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 7/184320],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 5/73728],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 119/552960],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 119/276480],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 13/115200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 5/48384],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/16800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 37/80640],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 1/5184],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 29/241920],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 11/25200],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 23/207360],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 149/67200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 1/1296],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 59/69120],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1512],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 37/725760],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 103/115200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 11/92160],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 29/161280],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 493/483840],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 19/69120],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 37/38400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 59/115200],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 13/8640],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 5/10368],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 11/138240],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 37/92160],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 11/46080],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 31/86400],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 11/7200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 7/12960],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 11/806400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 197/276480],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 61/92160],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 23/21504],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 571/460800],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 29/34560],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 47/230400],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 223/92160],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1152],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 119/276480],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 119/552960],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 5/73728],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 1307/1411200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 59/207360],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 29/172800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 613/3386880],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 23/2903040],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 31/230400],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 10957/33868800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 293/806400],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 1/12800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1/4480],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 1/13824],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 7/172800],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2700],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 17/207360],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1612800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 251/345600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 197/460800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 881/1354752],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 1861/3225600],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 263/967680],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 83/967680],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 2869/1382400],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 739/1451520],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 1477/1843200],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 113/552960],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 311/2822400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 7/207360],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 53/3386880],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/2903040],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 113/3763200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 211/4838400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 1037/3225600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 211/2150400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 2033/13547520],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 523/6451200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 19/645120],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 121/9676800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 13313/19353600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 701/5806080],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 3041/4838400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 109/967680],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 151/2419200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 1/143360],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 17/1505280],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/1935360],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 1357/19353600],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 11/1161216],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 3667/16588800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 5039/174182400],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 41/9676800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 191/5806080],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 769/239500800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 1/614400],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 223/1916006400],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/2112],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/2112],
[[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/2520],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/840],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1920],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 7/11520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 5/13824],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 379/4838400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/2112],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/2112],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/2016],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/9600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/2520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1920],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1920],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 11/10080],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 139/80640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 91/69120],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1313/2419200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/3200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/840],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4320],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/5376],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2688],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5/4032],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/768],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 3/2560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 17/23040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 47/38400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/1920],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/4800],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1120],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2520],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/768],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5/4032],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 3/2560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 11/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/720],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23/23040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2240],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 139/80640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 11/10080],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/23040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 91/69120],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23/23040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/720],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 11/46080],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 7/11520],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 5/13824],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 47/38400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 17/23040],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1313/2419200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/7680],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 379/4838400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960]
]}