{[
[[[1, 25]], 1/95887829237760000],
[[[2, 25]], 1/95887829237760000],
[[[1, 1], [2, 24]], 97/95887829237760000],
[[[1, 1], [4, 12]], 1/619315200],
[[[1, 2], [2, 23]], 17/399532621824000],
[[[1, 3], [2, 22]], 6119/5992989327360000],
[[[1, 4], [2, 21]], 24779/1598130487296000],
[[[1, 5], [2, 20]], 751297/4794391461888000],
[[[1, 6], [2, 19]], 162269/149824733184000],
[[[1, 7], [2, 18]], 111233/21403533312000],
[[[1, 8], [2, 17]], 7437607/426168129945600],
[[[1, 9], [2, 16]], 158504767/3835513169510400],
[[[1, 9], [5, 4]], 1/360000],
[[[1, 10], [2, 15]], 270103/3805072588800],
[[[1, 11], [2, 14]], 16297187/171228266496000],
[[[1, 12], [2, 13]], 28960021/266355081216000],
[[[1, 13], [2, 12]], 28960021/266355081216000],
[[[1, 13], [3, 6]], 1/11943936],
[[[1, 13], [5, 3]], 1/53760000],
[[[1, 13], [7, 2]], 1/2890137600],
[[[1, 14], [2, 11]], 16297187/171228266496000],
[[[1, 15], [2, 10]], 270103/3805072588800],
[[[1, 15], [3, 5]], 1/53084160],
[[[1, 16], [2, 9]], 158504767/3835513169510400],
[[[1, 17], [2, 8]], 7437607/426168129945600],
[[[1, 17], [3, 4]], 253/178362777600],
[[[1, 17], [4, 4]], 1/26635508121600],
[[[1, 17], [5, 2]], 109/2601123840000],
[[[1, 18], [2, 7]], 111233/21403533312000],
[[[1, 19], [2, 6]], 162269/149824733184000],
[[[1, 19], [3, 3]], 113/2675441664000],
[[[1, 19], [7, 1]], 1/8323596288000],
[[[1, 20], [2, 5]], 751297/4794391461888000],
[[[1, 21], [2, 4]], 24779/1598130487296000],
[[[1, 21], [3, 2]], 11/18496880640000],
[[[1, 21], [4, 2]], 1/799065243648000],
[[[1, 21], [5, 1]], 1/27745320960000],
[[[1, 22], [2, 3]], 6119/5992989327360000],
[[[1, 23], [2, 2]], 17/399532621824000],
[[[1, 23], [3, 1]], 1/249707888640000],
[[[1, 24], [2, 1]], 97/95887829237760000],
[[[2, 1], [4, 12]], 1/619315200],
[[[2, 9], [10, 4]], 1/360000],
[[[2, 13], [6, 6]], 1/11943936],
[[[2, 13], [10, 3]], 1/53760000],
[[[2, 13], [14, 2]], 1/2890137600],
[[[2, 15], [6, 5]], 1/53084160],
[[[2, 17], [4, 4]], 1/26635508121600],
[[[2, 17], [6, 4]], 253/178362777600],
[[[2, 17], [10, 2]], 109/2601123840000],
[[[2, 19], [6, 3]], 113/2675441664000],
[[[2, 19], [14, 1]], 1/8323596288000],
[[[2, 21], [4, 2]], 1/799065243648000],
[[[2, 21], [6, 2]], 11/18496880640000],
[[[2, 21], [10, 1]], 1/27745320960000],
[[[2, 23], [6, 1]], 1/249707888640000],
[[[1, 1], [2, 2], [4, 11]], 1/12902400],
[[[1, 1], [2, 8], [10, 4]], 7/360000],
[[[1, 1], [2, 12], [6, 6]], 7/11943936],
[[[1, 1], [2, 12], [10, 3]], 253/483840000],
[[[1, 1], [2, 12], [14, 2]], 41/2890137600],
[[[1, 1], [2, 14], [4, 5]], 1/31708938240],
[[[1, 1], [2, 14], [6, 5]], 17/53084160],
[[[1, 1], [2, 16], [4, 4]], 19/8878502707200],
[[[1, 1], [2, 16], [6, 4]], 7279/178362777600],
[[[1, 1], [2, 16], [10, 2]], 5443/2601123840000],
[[[1, 1], [2, 18], [4, 3]], 19/13317754060800],
[[[1, 1], [2, 18], [6, 3]], 179/95551488000],
[[[1, 1], [2, 18], [14, 1]], 23/2774532096000],
[[[1, 1], [2, 20], [4, 2]], 11/114152177664000],
[[[1, 1], [2, 20], [6, 2]], 3037/83235962880000],
[[[1, 1], [2, 20], [8, 1]], 1/199766310912000],
[[[1, 1], [2, 20], [10, 1]], 47/17836277760000],
[[[1, 1], [2, 22], [4, 1]], 1/66588770304000],
[[[1, 1], [2, 22], [6, 1]], 79/249707888640000],
[[[1, 1], [4, 4], [20, 2]], 1/1200],
[[[1, 1], [4, 6], [12, 3]], 1/6912],
[[[1, 1], [4, 6], [28, 1]], 1/107520],
[[[1, 1], [4, 8], [8, 2]], 1/10321920],
[[[1, 1], [4, 8], [12, 2]], 1/61440],
[[[1, 1], [4, 8], [20, 1]], 1/358400],
[[[1, 1], [4, 10], [12, 1]], 1/3225600],
[[[1, 2], [2, 1], [4, 11]], 1/12902400],
[[[1, 2], [2, 3], [4, 10]], 1/737280],
[[[1, 2], [2, 7], [10, 4]], 1/24000],
[[[1, 2], [2, 11], [4, 6]], 431/31708938240],
[[[1, 2], [2, 11], [6, 6]], 7/3981312],
[[[1, 2], [2, 11], [10, 3]], 89/19353600],
[[[1, 2], [2, 11], [14, 2]], 29/144506880],
[[[1, 2], [2, 13], [4, 5]], 1/905969664],
[[[1, 2], [2, 13], [6, 5]], 5/2654208],
[[[1, 2], [2, 15], [4, 4]], 31/52848230400],
[[[1, 2], [2, 15], [6, 4]], 5237/11890851840],
[[[1, 2], [2, 15], [8, 2]], 1/1664719257600],
[[[1, 2], [2, 15], [10, 2]], 2969/74317824000],
[[[1, 2], [2, 17], [4, 3]], 151/1902536294400],
[[[1, 2], [2, 17], [6, 3]], 1441/44590694400],
[[[1, 2], [2, 17], [14, 1]], 323/1387266048000],
[[[1, 2], [2, 19], [4, 2]], 1273/114152177664000],
[[[1, 2], [2, 19], [6, 2]], 30361/33294385152000],
[[[1, 2], [2, 19], [8, 1]], 11/28538044416000],
[[[1, 2], [2, 19], [10, 1]], 3991/49941577728000],
[[[1, 2], [2, 21], [3, 1]], 1/299649466368000],
[[[1, 2], [2, 21], [4, 1]], 19/16647192576000],
[[[1, 2], [2, 21], [6, 1]], 251/23781703680000],
[[[1, 3], [2, 2], [4, 10]], 1/737280],
[[[1, 3], [2, 4], [4, 9]], 83/7741440],
[[[1, 3], [2, 6], [10, 4]], 1/40000],
[[[1, 3], [2, 8], [4, 7]], 11/37748736],
[[[1, 3], [2, 10], [4, 6]], 5779/31708938240],
[[[1, 3], [2, 10], [6, 6]], 35/11943936],
[[[1, 3], [2, 10], [10, 3]], 1243/69120000],
[[[1, 3], [2, 10], [14, 2]], 173/144506880],
[[[1, 3], [2, 12], [4, 5]], 409/3963617280],
[[[1, 3], [2, 12], [6, 5]], 5/884736],
[[[1, 3], [2, 14], [4, 4]], 1819/95126814720],
[[[1, 3], [2, 14], [6, 4]], 139547/59454259200],
[[[1, 3], [2, 14], [8, 2]], 19/554906419200],
[[[1, 3], [2, 14], [10, 2]], 20029/53084160000],
[[[1, 3], [2, 16], [4, 3]], 5203/1426902220800],
[[[1, 3], [2, 16], [6, 3]], 13661/47775744000],
[[[1, 3], [2, 16], [14, 1]], 2873/832359628800],
[[[1, 3], [2, 18], [4, 2]], 398443/799065243648000],
[[[1, 3], [2, 18], [6, 2]], 101189/8323596288000],
[[[1, 3], [2, 18], [8, 1]], 247/19976631091200],
[[[1, 3], [2, 18], [10, 1]], 81979/62426972160000],
[[[1, 3], [2, 20], [3, 1]], 11/42807066624000],
[[[1, 3], [2, 20], [4, 1]], 1553/42807066624000],
[[[1, 3], [2, 20], [6, 1]], 6493/33294385152000],
[[[1, 4], [2, 3], [4, 9]], 83/7741440],
[[[1, 4], [2, 5], [4, 8]], 324577/7927234560],
[[[1, 4], [2, 7], [4, 7]], 77/37748736],
[[[1, 4], [2, 9], [4, 6]], 4313/1132462080],
[[[1, 4], [2, 9], [6, 6]], 35/11943936],
[[[1, 4], [2, 9], [7, 2]], 1/115605504],
[[[1, 4], [2, 9], [10, 3]], 469/13824000],
[[[1, 4], [2, 9], [14, 2]], 341/96337920],
[[[1, 4], [2, 11], [4, 5]], 2257/1585446912],
[[[1, 4], [2, 11], [6, 5]], 473/47775744],
[[[1, 4], [2, 13], [4, 4]], 204203/475634073600],
[[[1, 4], [2, 13], [6, 4]], 1904887/267544166400],
[[[1, 4], [2, 13], [8, 2]], 1/990904320],
[[[1, 4], [2, 13], [10, 2]], 24373/12386304000],
[[[1, 4], [2, 15], [4, 3]], 284273/3329438515200],
[[[1, 4], [2, 15], [6, 3]], 775093/535088332800],
[[[1, 4], [2, 15], [14, 1]], 49247/1664719257600],
[[[1, 4], [2, 17], [3, 2]], 1/3745618329600],
[[[1, 4], [2, 17], [4, 2]], 2725171/266355081216000],
[[[1, 4], [2, 17], [6, 2]], 28739867/299649466368000],
[[[1, 4], [2, 17], [8, 1]], 21527/99883155456000],
[[[1, 4], [2, 17], [10, 1]], 214883/16647192576000],
[[[1, 4], [2, 19], [3, 1]], 247/29964946636800],
[[[1, 4], [2, 19], [4, 1]], 378143/599298932736000],
[[[1, 4], [2, 19], [6, 1]], 33109/14982473318400],
[[[1, 5], [2, 4], [4, 8]], 324577/7927234560],
[[[1, 5], [2, 6], [4, 7]], 5911/70778880],
[[[1, 5], [2, 8], [4, 6]], 981/41943040],
[[[1, 5], [2, 8], [6, 6]], 7/3981312],
[[[1, 5], [2, 8], [7, 2]], 25/115605504],
[[[1, 5], [2, 8], [10, 3]], 409/13824000],
[[[1, 5], [2, 8], [14, 2]], 1591/289013760],
[[[1, 5], [2, 10], [4, 5]], 190433/13589544960],
[[[1, 5], [2, 10], [6, 5]], 2537/238878720],
[[[1, 5], [2, 12], [4, 4]], 2117921/475634073600],
[[[1, 5], [2, 12], [6, 4]], 3530669/267544166400],
[[[1, 5], [2, 12], [8, 2]], 247/14863564800],
[[[1, 5], [2, 12], [10, 2]], 73723/12386304000],
[[[1, 5], [2, 14], [4, 3]], 128119/135895449600],
[[[1, 5], [2, 14], [6, 3]], 42929/9555148800],
[[[1, 5], [2, 14], [14, 1]], 255371/1664719257600],
[[[1, 5], [2, 16], [3, 2]], 19/1248539443200],
[[[1, 5], [2, 16], [4, 2]], 5929643/53271016243200],
[[[1, 5], [2, 16], [6, 2]], 70827011/149824733184000],
[[[1, 5], [2, 16], [8, 1]], 89627/39953262182400],
[[[1, 5], [2, 16], [10, 1]], 663689/8323596288000],
[[[1, 5], [2, 18], [3, 1]], 21527/149824733184000],
[[[1, 5], [2, 18], [4, 1]], 3973957/599298932736000],
[[[1, 5], [2, 18], [6, 1]], 604901/37456183296000],
[[[1, 5], [3, 2], [5, 4]], 1/90000],
[[[1, 5], [4, 2], [8, 4]], 1/65536],
[[[1, 5], [4, 4], [7, 2]], 1/802816],
[[[1, 5], [5, 2], [7, 2]], 1/19600],
[[[1, 6], [2, 3], [5, 4]], 1/40000],
[[[1, 6], [2, 5], [4, 7]], 5911/70778880],
[[[1, 6], [2, 7], [3, 6]], 1/11943936],
[[[1, 6], [2, 7], [4, 6]], 53837/452984832],
[[[1, 6], [2, 7], [5, 3]], 1/1536000],
[[[1, 6], [2, 7], [6, 6]], 7/11943936],
[[[1, 6], [2, 7], [7, 2]], 1/589824],
[[[1, 6], [2, 7], [10, 3]], 47/4608000],
[[[1, 6], [2, 7], [14, 2]], 43/9633792],
[[[1, 6], [2, 9], [3, 5]], 1/95551488],
[[[1, 6], [2, 9], [4, 5]], 191519/2717908992],
[[[1, 6], [2, 9], [6, 5]], 827/119439360],
[[[1, 6], [2, 11], [3, 4]], 1/3057647616],
[[[1, 6], [2, 11], [4, 4]], 812009/31708938240],
[[[1, 6], [2, 11], [5, 2]], 1/235929600],
[[[1, 6], [2, 11], [6, 4]], 164125/10701766656],
[[[1, 6], [2, 11], [8, 2]], 17/117440512],
[[[1, 6], [2, 11], [10, 2]], 391501/37158912000],
[[[1, 6], [2, 13], [4, 3]], 15746789/2853804441600],
[[[1, 6], [2, 13], [6, 3]], 49363/5573836800],
[[[1, 6], [2, 13], [7, 1]], 101/184968806400],
[[[1, 6], [2, 13], [14, 1]], 206039/416179814400],
[[[1, 6], [2, 15], [3, 2]], 1/2972712960],
[[[1, 6], [2, 15], [4, 2]], 10447951/14982473318400],
[[[1, 6], [2, 15], [6, 2]], 12894439/8561413324800],
[[[1, 6], [2, 15], [8, 1]], 23207/1598130487296],
[[[1, 6], [2, 15], [10, 1]], 2268533/7134511104000],
[[[1, 6], [2, 17], [3, 1]], 89627/59929893273600],
[[[1, 6], [2, 17], [4, 1]], 945487/21403533312000],
[[[1, 6], [2, 17], [6, 1]], 23467751/299649466368000],
[[[1, 7], [2, 2], [5, 4]], 1/24000],
[[[1, 7], [2, 4], [4, 7]], 77/37748736],
[[[1, 7], [2, 6], [3, 6]], 7/11943936],
[[[1, 7], [2, 6], [4, 6]], 53837/452984832],
[[[1, 7], [2, 6], [5, 3]], 47/4608000],
[[[1, 7], [2, 6], [6, 6]], 1/11943936],
[[[1, 7], [2, 6], [7, 2]], 43/9633792],
[[[1, 7], [2, 6], [10, 3]], 1/1536000],
[[[1, 7], [2, 6], [14, 2]], 1/589824],
[[[1, 7], [2, 8], [3, 5]], 41/95551488],
[[[1, 7], [2, 8], [4, 5]], 120109/679477248],
[[[1, 7], [2, 8], [6, 5]], 61/23887872],
[[[1, 7], [2, 10], [3, 4]], 19/339738624],
[[[1, 7], [2, 10], [4, 4]], 126912773/1426902220800],
[[[1, 7], [2, 10], [5, 2]], 101/707788800],
[[[1, 7], [2, 10], [6, 4]], 84341/7644119040],
[[[1, 7], [2, 10], [8, 2]], 148321/237817036800],
[[[1, 7], [2, 10], [10, 2]], 56557/5308416000],
[[[1, 7], [2, 12], [3, 3]], 1/339738624],
[[[1, 7], [2, 12], [4, 3]], 28345883/1426902220800],
[[[1, 7], [2, 12], [6, 3]], 4469/398131200],
[[[1, 7], [2, 12], [7, 1]], 2929/184968806400],
[[[1, 7], [2, 12], [14, 1]], 11953/11890851840],
[[[1, 7], [2, 14], [3, 2]], 32461/8561413324800],
[[[1, 7], [2, 14], [4, 2]], 53779841/19976631091200],
[[[1, 7], [2, 14], [5, 1]], 101/264241152000],
[[[1, 7], [2, 14], [6, 2]], 676153/214035333120],
[[[1, 7], [2, 14], [8, 1]], 16279/271790899200],
[[[1, 7], [2, 14], [10, 1]], 737999/891813888000],
[[[1, 7], [2, 16], [3, 1]], 23207/2397195730944],
[[[1, 7], [2, 16], [4, 1]], 22984811/119859786547200],
[[[1, 7], [2, 16], [6, 1]], 614503/2397195730944],
[[[1, 7], [3, 1], [5, 4]], 1/90000],
[[[1, 7], [3, 3], [5, 3]], 1/72000],
[[[1, 7], [4, 3], [8, 3]], 1/393216],
[[[1, 7], [5, 3], [7, 1]], 1/42000],
[[[1, 8], [2, 1], [5, 4]], 7/360000],
[[[1, 8], [2, 3], [4, 7]], 11/37748736],
[[[1, 8], [2, 5], [3, 6]], 7/3981312],
[[[1, 8], [2, 5], [4, 6]], 981/41943040],
[[[1, 8], [2, 5], [5, 3]], 409/13824000],
[[[1, 8], [2, 5], [7, 2]], 1591/289013760],
[[[1, 8], [2, 5], [14, 2]], 25/115605504],
[[[1, 8], [2, 7], [3, 5]], 61/23887872],
[[[1, 8], [2, 7], [4, 5]], 120109/679477248],
[[[1, 8], [2, 7], [6, 5]], 41/95551488],
[[[1, 8], [2, 9], [3, 4]], 2903/3057647616],
[[[1, 8], [2, 9], [4, 4]], 2324864099/13317754060800],
[[[1, 8], [2, 9], [5, 2]], 3199/2123366400],
[[[1, 8], [2, 9], [6, 4]], 70537/15288238080],
[[[1, 8], [2, 9], [8, 2]], 15793/11560550400],
[[[1, 8], [2, 9], [10, 2]], 12337/2123366400],
[[[1, 8], [2, 11], [3, 3]], 43/382205952],
[[[1, 8], [2, 11], [4, 3]], 72764317/1426902220800],
[[[1, 8], [2, 11], [6, 3]], 321289/35672555520],
[[[1, 8], [2, 11], [7, 1]], 281/1887436800],
[[[1, 8], [2, 11], [14, 1]], 432191/332943851520],
[[[1, 8], [2, 13], [3, 2]], 8297/285380444160],
[[[1, 8], [2, 13], [4, 2]], 80966023/11415217766400],
[[[1, 8], [2, 13], [5, 1]], 4747/396361728000],
[[[1, 8], [2, 13], [6, 2]], 5370809/1223059046400],
[[[1, 8], [2, 13], [8, 1]], 936319/5707608883200],
[[[1, 8], [2, 13], [10, 1]], 401713/285380444160],
[[[1, 8], [2, 15], [3, 1]], 16279/407686348800],
[[[1, 8], [2, 15], [4, 1]], 66920513/119859786547200],
[[[1, 8], [2, 15], [6, 1]], 4892497/8561413324800],
[[[1, 9], [2, 4], [3, 6]], 35/11943936],
[[[1, 9], [2, 4], [4, 6]], 4313/1132462080],
[[[1, 9], [2, 4], [5, 3]], 469/13824000],
[[[1, 9], [2, 4], [7, 2]], 341/96337920],
[[[1, 9], [2, 4], [14, 2]], 1/115605504],
[[[1, 9], [2, 6], [3, 5]], 827/119439360],
[[[1, 9], [2, 6], [4, 5]], 191519/2717908992],
[[[1, 9], [2, 6], [6, 5]], 1/95551488],
[[[1, 9], [2, 8], [3, 4]], 70537/15288238080],
[[[1, 9], [2, 8], [4, 4]], 2324864099/13317754060800],
[[[1, 9], [2, 8], [5, 2]], 12337/2123366400],
[[[1, 9], [2, 8], [6, 4]], 2903/3057647616],
[[[1, 9], [2, 8], [8, 2]], 15793/11560550400],
[[[1, 9], [2, 8], [10, 2]], 3199/2123366400],
[[[1, 9], [2, 10], [3, 3]], 157/141557760],
[[[1, 9], [2, 10], [4, 3]], 172637257/1997663109120],
[[[1, 9], [2, 10], [6, 3]], 16579/3822059520],
[[[1, 9], [2, 10], [7, 1]], 13583/23781703680],
[[[1, 9], [2, 10], [14, 1]], 365723/332943851520],
[[[1, 9], [2, 12], [3, 2]], 176587/951268147200],
[[[1, 9], [2, 12], [4, 2]], 488909173/34245653299200],
[[[1, 9], [2, 12], [5, 1]], 98269/792723456000],
[[[1, 9], [2, 12], [6, 2]], 17191829/4280706662400],
[[[1, 9], [2, 12], [8, 1]], 118049/380507258880],
[[[1, 9], [2, 12], [10, 1]], 1126249/713451110400],
[[[1, 9], [2, 14], [3, 1]], 950863/8561413324800],
[[[1, 9], [2, 14], [4, 1]], 6620911/5707608883200],
[[[1, 9], [2, 14], [6, 1]], 7519297/8561413324800],
[[[1, 9], [3, 2], [5, 3]], 59/5760000],
[[[1, 9], [3, 2], [7, 2]], 1/451584],
[[[1, 9], [3, 4], [4, 4]], 1/21233664],
[[[1, 9], [3, 4], [5, 2]], 13/2073600],
[[[1, 9], [4, 2], [5, 3]], 1/1152000],
[[[1, 9], [4, 2], [7, 2]], 1/24084480],
[[[1, 9], [4, 4], [5, 2]], 1/14745600],
[[[1, 9], [4, 4], [8, 2]], 109/990904320],
[[[1, 9], [5, 1], [7, 2]], 1/3763200],
[[[1, 10], [2, 3], [3, 6]], 35/11943936],
[[[1, 10], [2, 3], [4, 6]], 5779/31708938240],
[[[1, 10], [2, 3], [5, 3]], 1243/69120000],
[[[1, 10], [2, 3], [7, 2]], 173/144506880],
[[[1, 10], [2, 5], [3, 5]], 2537/238878720],
[[[1, 10], [2, 5], [4, 5]], 190433/13589544960],
[[[1, 10], [2, 7], [3, 4]], 84341/7644119040],
[[[1, 10], [2, 7], [4, 4]], 126912773/1426902220800],
[[[1, 10], [2, 7], [5, 2]], 56557/5308416000],
[[[1, 10], [2, 7], [6, 4]], 19/339738624],
[[[1, 10], [2, 7], [8, 2]], 148321/237817036800],
[[[1, 10], [2, 7], [10, 2]], 101/707788800],
[[[1, 10], [2, 9], [3, 3]], 16579/3822059520],
[[[1, 10], [2, 9], [4, 3]], 172637257/1997663109120],
[[[1, 10], [2, 9], [6, 3]], 157/141557760],
[[[1, 10], [2, 9], [7, 1]], 365723/332943851520],
[[[1, 10], [2, 9], [14, 1]], 13583/23781703680],
[[[1, 10], [2, 11], [3, 2]], 203327/237817036800],
[[[1, 10], [2, 11], [4, 2]], 242915317/11415217766400],
[[[1, 10], [2, 11], [5, 1]], 315011/594542592000],
[[[1, 10], [2, 11], [6, 2]], 149719/63417876480],
[[[1, 10], [2, 11], [8, 1]], 161117/380507258880],
[[[1, 10], [2, 11], [10, 1]], 1663831/1426902220800],
[[[1, 10], [2, 13], [3, 1]], 3429359/14269022208000],
[[[1, 10], [2, 13], [4, 1]], 32396521/17122826649600],
[[[1, 10], [2, 13], [6, 1]], 907399/951268147200],
[[[1, 11], [2, 2], [3, 6]], 7/3981312],
[[[1, 11], [2, 2], [4, 6]], 431/31708938240],
[[[1, 11], [2, 2], [5, 3]], 89/19353600],
[[[1, 11], [2, 2], [7, 2]], 29/144506880],
[[[1, 11], [2, 4], [3, 5]], 473/47775744],
[[[1, 11], [2, 4], [4, 5]], 2257/1585446912],
[[[1, 11], [2, 6], [3, 4]], 164125/10701766656],
[[[1, 11], [2, 6], [4, 4]], 812009/31708938240],
[[[1, 11], [2, 6], [5, 2]], 391501/37158912000],
[[[1, 11], [2, 6], [6, 4]], 1/3057647616],
[[[1, 11], [2, 6], [8, 2]], 17/117440512],
[[[1, 11], [2, 6], [10, 2]], 1/235929600],
[[[1, 11], [2, 8], [3, 3]], 321289/35672555520],
[[[1, 11], [2, 8], [4, 3]], 72764317/1426902220800],
[[[1, 11], [2, 8], [6, 3]], 43/382205952],
[[[1, 11], [2, 8], [7, 1]], 432191/332943851520],
[[[1, 11], [2, 8], [14, 1]], 281/1887436800],
[[[1, 11], [2, 10], [3, 2]], 149719/63417876480],
[[[1, 11], [2, 10], [4, 2]], 242915317/11415217766400],
[[[1, 11], [2, 10], [5, 1]], 1663831/1426902220800],
[[[1, 11], [2, 10], [6, 2]], 203327/237817036800],
[[[1, 11], [2, 10], [8, 1]], 161117/380507258880],
[[[1, 11], [2, 10], [10, 1]], 315011/594542592000],
[[[1, 11], [2, 12], [3, 1]], 2217437/4756340736000],
[[[1, 11], [2, 12], [4, 1]], 165691423/66588770304000],
[[[1, 11], [2, 12], [6, 1]], 32543671/42807066624000],
[[[1, 11], [3, 1], [5, 3]], 17/10080000],
[[[1, 11], [3, 1], [7, 2]], 1/18063360],
[[[1, 11], [3, 3], [4, 4]], 1/106168320],
[[[1, 11], [3, 3], [5, 2]], 269/82944000],
[[[1, 11], [3, 4], [7, 1]], 1/1161216],
[[[1, 11], [3, 5], [4, 2]], 1/7962624],
[[[1, 11], [3, 5], [5, 1]], 1/829440],
[[[1, 11], [4, 4], [7, 1]], 1/2312110080],
[[[1, 11], [5, 2], [7, 1]], 1/7056000],
[[[1, 12], [2, 1], [3, 6]], 7/11943936],
[[[1, 12], [2, 1], [5, 3]], 253/483840000],
[[[1, 12], [2, 1], [7, 2]], 41/2890137600],
[[[1, 12], [2, 3], [3, 5]], 5/884736],
[[[1, 12], [2, 3], [4, 5]], 409/3963617280],
[[[1, 12], [2, 5], [3, 4]], 3530669/267544166400],
[[[1, 12], [2, 5], [4, 4]], 2117921/475634073600],
[[[1, 12], [2, 5], [5, 2]], 73723/12386304000],
[[[1, 12], [2, 5], [8, 2]], 247/14863564800],
[[[1, 12], [2, 7], [3, 3]], 4469/398131200],
[[[1, 12], [2, 7], [4, 3]], 28345883/1426902220800],
[[[1, 12], [2, 7], [6, 3]], 1/339738624],
[[[1, 12], [2, 7], [7, 1]], 11953/11890851840],
[[[1, 12], [2, 7], [14, 1]], 2929/184968806400],
[[[1, 12], [2, 9], [3, 2]], 17191829/4280706662400],
[[[1, 12], [2, 9], [4, 2]], 488909173/34245653299200],
[[[1, 12], [2, 9], [5, 1]], 1126249/713451110400],
[[[1, 12], [2, 9], [6, 2]], 176587/951268147200],
[[[1, 12], [2, 9], [8, 1]], 118049/380507258880],
[[[1, 12], [2, 9], [10, 1]], 98269/792723456000],
[[[1, 12], [2, 11], [3, 1]], 32543671/42807066624000],
[[[1, 12], [2, 11], [4, 1]], 165691423/66588770304000],
[[[1, 12], [2, 11], [6, 1]], 2217437/4756340736000],
[[[1, 13], [2, 2], [3, 5]], 5/2654208],
[[[1, 13], [2, 2], [4, 5]], 1/905969664],
[[[1, 13], [2, 4], [3, 4]], 1904887/267544166400],
[[[1, 13], [2, 4], [4, 4]], 204203/475634073600],
[[[1, 13], [2, 4], [5, 2]], 24373/12386304000],
[[[1, 13], [2, 4], [8, 2]], 1/990904320],
[[[1, 13], [2, 6], [3, 3]], 49363/5573836800],
[[[1, 13], [2, 6], [4, 3]], 15746789/2853804441600],
[[[1, 13], [2, 6], [7, 1]], 206039/416179814400],
[[[1, 13], [2, 6], [14, 1]], 101/184968806400],
[[[1, 13], [2, 8], [3, 2]], 5370809/1223059046400],
[[[1, 13], [2, 8], [4, 2]], 80966023/11415217766400],
[[[1, 13], [2, 8], [5, 1]], 401713/285380444160],
[[[1, 13], [2, 8], [6, 2]], 8297/285380444160],
[[[1, 13], [2, 8], [8, 1]], 936319/5707608883200],
[[[1, 13], [2, 8], [10, 1]], 4747/396361728000],
[[[1, 13], [2, 10], [3, 1]], 907399/951268147200],
[[[1, 13], [2, 10], [4, 1]], 32396521/17122826649600],
[[[1, 13], [2, 10], [6, 1]], 3429359/14269022208000],
[[[1, 13], [3, 2], [4, 4]], 11/19818086400],
[[[1, 13], [3, 2], [5, 2]], 11789/30965760000],
[[[1, 13], [3, 3], [7, 1]], 1/9289728],
[[[1, 13], [3, 4], [4, 2]], 17/637009920],
[[[1, 13], [3, 4], [5, 1]], 7/16588800],
[[[1, 13], [4, 2], [5, 2]], 11/3096576000],
[[[1, 13], [4, 4], [5, 1]], 1/9909043200],
[[[1, 14], [2, 1], [3, 5]], 17/53084160],
[[[1, 14], [2, 1], [4, 5]], 1/31708938240],
[[[1, 14], [2, 3], [3, 4]], 139547/59454259200],
[[[1, 14], [2, 3], [4, 4]], 1819/95126814720],
[[[1, 14], [2, 3], [5, 2]], 20029/53084160000],
[[[1, 14], [2, 3], [8, 2]], 19/554906419200],
[[[1, 14], [2, 5], [3, 3]], 42929/9555148800],
[[[1, 14], [2, 5], [4, 3]], 128119/135895449600],
[[[1, 14], [2, 5], [7, 1]], 255371/1664719257600],
[[[1, 14], [2, 7], [3, 2]], 676153/214035333120],
[[[1, 14], [2, 7], [4, 2]], 53779841/19976631091200],
[[[1, 14], [2, 7], [5, 1]], 737999/891813888000],
[[[1, 14], [2, 7], [6, 2]], 32461/8561413324800],
[[[1, 14], [2, 7], [8, 1]], 16279/271790899200],
[[[1, 14], [2, 7], [10, 1]], 101/264241152000],
[[[1, 14], [2, 9], [3, 1]], 7519297/8561413324800],
[[[1, 14], [2, 9], [4, 1]], 6620911/5707608883200],
[[[1, 14], [2, 9], [6, 1]], 950863/8561413324800],
[[[1, 15], [2, 2], [3, 4]], 5237/11890851840],
[[[1, 15], [2, 2], [4, 4]], 31/52848230400],
[[[1, 15], [2, 2], [5, 2]], 2969/74317824000],
[[[1, 15], [2, 2], [8, 2]], 1/1664719257600],
[[[1, 15], [2, 4], [3, 3]], 775093/535088332800],
[[[1, 15], [2, 4], [4, 3]], 284273/3329438515200],
[[[1, 15], [2, 4], [7, 1]], 49247/1664719257600],
[[[1, 15], [2, 6], [3, 2]], 12894439/8561413324800],
[[[1, 15], [2, 6], [4, 2]], 10447951/14982473318400],
[[[1, 15], [2, 6], [5, 1]], 2268533/7134511104000],
[[[1, 15], [2, 6], [6, 2]], 1/2972712960],
[[[1, 15], [2, 6], [8, 1]], 23207/1598130487296],
[[[1, 15], [2, 8], [3, 1]], 4892497/8561413324800],
[[[1, 15], [2, 8], [4, 1]], 66920513/119859786547200],
[[[1, 15], [2, 8], [6, 1]], 16279/407686348800],
[[[1, 15], [3, 1], [4, 4]], 1/118908518400],
[[[1, 15], [3, 1], [5, 2]], 101/13271040000],
[[[1, 15], [3, 2], [7, 1]], 53/17340825600],
[[[1, 15], [3, 3], [4, 2]], 1/557383680],
[[[1, 15], [3, 3], [5, 1]], 157/4128768000],
[[[1, 15], [4, 2], [7, 1]], 1/69363302400],
[[[1, 15], [5, 1], [7, 1]], 11/43352064000],
[[[1, 16], [2, 1], [3, 4]], 7279/178362777600],
[[[1, 16], [2, 1], [4, 4]], 19/8878502707200],
[[[1, 16], [2, 1], [5, 2]], 5443/2601123840000],
[[[1, 16], [2, 3], [3, 3]], 13661/47775744000],
[[[1, 16], [2, 3], [4, 3]], 5203/1426902220800],
[[[1, 16], [2, 3], [7, 1]], 2873/832359628800],
[[[1, 16], [2, 5], [3, 2]], 70827011/149824733184000],
[[[1, 16], [2, 5], [4, 2]], 5929643/53271016243200],
[[[1, 16], [2, 5], [5, 1]], 663689/8323596288000],
[[[1, 16], [2, 5], [6, 2]], 19/1248539443200],
[[[1, 16], [2, 5], [8, 1]], 89627/39953262182400],
[[[1, 16], [2, 7], [3, 1]], 614503/2397195730944],
[[[1, 16], [2, 7], [4, 1]], 22984811/119859786547200],
[[[1, 16], [2, 7], [6, 1]], 23207/2397195730944],
[[[1, 17], [2, 2], [3, 3]], 1441/44590694400],
[[[1, 17], [2, 2], [4, 3]], 151/1902536294400],
[[[1, 17], [2, 2], [7, 1]], 323/1387266048000],
[[[1, 17], [2, 4], [3, 2]], 28739867/299649466368000],
[[[1, 17], [2, 4], [4, 2]], 2725171/266355081216000],
[[[1, 17], [2, 4], [5, 1]], 214883/16647192576000],
[[[1, 17], [2, 4], [6, 2]], 1/3745618329600],
[[[1, 17], [2, 4], [8, 1]], 21527/99883155456000],
[[[1, 17], [2, 6], [3, 1]], 23467751/299649466368000],
[[[1, 17], [2, 6], [4, 1]], 945487/21403533312000],
[[[1, 17], [2, 6], [6, 1]], 89627/59929893273600],
[[[1, 17], [3, 1], [7, 1]], 17/520224768000],
[[[1, 17], [3, 2], [4, 2]], 73/1783627776000],
[[[1, 17], [3, 2], [5, 1]], 23/23224320000],
[[[1, 17], [4, 2], [5, 1]], 1/260112384000],
[[[1, 18], [2, 1], [3, 3]], 179/95551488000],
[[[1, 18], [2, 1], [4, 3]], 19/13317754060800],
[[[1, 18], [2, 1], [7, 1]], 23/2774532096000],
[[[1, 18], [2, 3], [3, 2]], 101189/8323596288000],
[[[1, 18], [2, 3], [4, 2]], 398443/799065243648000],
[[[1, 18], [2, 3], [5, 1]], 81979/62426972160000],
[[[1, 18], [2, 3], [8, 1]], 247/19976631091200],
[[[1, 18], [2, 5], [3, 1]], 604901/37456183296000],
[[[1, 18], [2, 5], [4, 1]], 3973957/599298932736000],
[[[1, 18], [2, 5], [6, 1]], 21527/149824733184000],
[[[1, 19], [2, 2], [3, 2]], 30361/33294385152000],
[[[1, 19], [2, 2], [4, 2]], 1273/114152177664000],
[[[1, 19], [2, 2], [5, 1]], 3991/49941577728000],
[[[1, 19], [2, 2], [8, 1]], 11/28538044416000],
[[[1, 19], [2, 4], [3, 1]], 33109/14982473318400],
[[[1, 19], [2, 4], [4, 1]], 378143/599298932736000],
[[[1, 19], [2, 4], [6, 1]], 247/29964946636800],
[[[1, 19], [3, 1], [4, 2]], 19/49941577728000],
[[[1, 19], [3, 1], [5, 1]], 421/41617981440000],
[[[1, 20], [2, 1], [3, 2]], 3037/83235962880000],
[[[1, 20], [2, 1], [4, 2]], 11/114152177664000],
[[[1, 20], [2, 1], [5, 1]], 47/17836277760000],
[[[1, 20], [2, 1], [8, 1]], 1/199766310912000],
[[[1, 20], [2, 3], [3, 1]], 6493/33294385152000],
[[[1, 20], [2, 3], [4, 1]], 1553/42807066624000],
[[[1, 20], [2, 3], [6, 1]], 11/42807066624000],
[[[1, 21], [2, 2], [3, 1]], 251/23781703680000],
[[[1, 21], [2, 2], [4, 1]], 19/16647192576000],
[[[1, 21], [2, 2], [6, 1]], 1/299649466368000],
[[[1, 22], [2, 1], [3, 1]], 79/249707888640000],
[[[1, 22], [2, 1], [4, 1]], 1/66588770304000],
[[[2, 1], [4, 4], [20, 2]], 1/1200],
[[[2, 1], [4, 6], [12, 3]], 1/6912],
[[[2, 1], [4, 6], [28, 1]], 1/107520],
[[[2, 1], [4, 8], [8, 2]], 1/10321920],
[[[2, 1], [4, 8], [12, 2]], 1/61440],
[[[2, 1], [4, 8], [20, 1]], 1/358400],
[[[2, 1], [4, 10], [12, 1]], 1/3225600],
[[[2, 5], [4, 2], [8, 4]], 1/65536],
[[[2, 5], [4, 4], [14, 2]], 1/802816],
[[[2, 5], [6, 2], [10, 4]], 1/90000],
[[[2, 5], [10, 2], [14, 2]], 1/19600],
[[[2, 7], [4, 3], [8, 3]], 1/393216],
[[[2, 7], [6, 1], [10, 4]], 1/90000],
[[[2, 7], [6, 3], [10, 3]], 1/72000],
[[[2, 7], [10, 3], [14, 1]], 1/42000],
[[[2, 9], [4, 2], [10, 3]], 1/1152000],
[[[2, 9], [4, 2], [14, 2]], 1/24084480],
[[[2, 9], [4, 4], [6, 4]], 1/21233664],
[[[2, 9], [4, 4], [8, 2]], 109/990904320],
[[[2, 9], [4, 4], [10, 2]], 1/14745600],
[[[2, 9], [6, 2], [10, 3]], 59/5760000],
[[[2, 9], [6, 2], [14, 2]], 1/451584],
[[[2, 9], [6, 4], [10, 2]], 13/2073600],
[[[2, 9], [10, 1], [14, 2]], 1/3763200],
[[[2, 11], [4, 2], [6, 5]], 1/7962624],
[[[2, 11], [4, 4], [6, 3]], 1/106168320],
[[[2, 11], [4, 4], [14, 1]], 1/2312110080],
[[[2, 11], [6, 1], [10, 3]], 17/10080000],
[[[2, 11], [6, 1], [14, 2]], 1/18063360],
[[[2, 11], [6, 3], [10, 2]], 269/82944000],
[[[2, 11], [6, 4], [14, 1]], 1/1161216],
[[[2, 11], [6, 5], [10, 1]], 1/829440],
[[[2, 11], [10, 2], [14, 1]], 1/7056000],
[[[2, 13], [4, 2], [6, 4]], 17/637009920],
[[[2, 13], [4, 2], [10, 2]], 11/3096576000],
[[[2, 13], [4, 4], [6, 2]], 11/19818086400],
[[[2, 13], [4, 4], [10, 1]], 1/9909043200],
[[[2, 13], [6, 2], [10, 2]], 11789/30965760000],
[[[2, 13], [6, 3], [14, 1]], 1/9289728],
[[[2, 13], [6, 4], [10, 1]], 7/16588800],
[[[2, 15], [4, 2], [6, 3]], 1/557383680],
[[[2, 15], [4, 2], [14, 1]], 1/69363302400],
[[[2, 15], [4, 4], [6, 1]], 1/118908518400],
[[[2, 15], [6, 1], [10, 2]], 101/13271040000],
[[[2, 15], [6, 2], [14, 1]], 53/17340825600],
[[[2, 15], [6, 3], [10, 1]], 157/4128768000],
[[[2, 15], [10, 1], [14, 1]], 11/43352064000],
[[[2, 17], [4, 2], [6, 2]], 73/1783627776000],
[[[2, 17], [4, 2], [10, 1]], 1/260112384000],
[[[2, 17], [6, 1], [14, 1]], 17/520224768000],
[[[2, 17], [6, 2], [10, 1]], 23/23224320000],
[[[2, 19], [4, 2], [6, 1]], 19/49941577728000],
[[[2, 19], [6, 1], [10, 1]], 421/41617981440000],
[[[1, 1], [2, 2], [4, 3], [20, 2]], 1/400],
[[[1, 1], [2, 2], [4, 5], [8, 3]], 1/16384],
[[[1, 1], [2, 2], [4, 5], [12, 3]], 1/2304],
[[[1, 1], [2, 2], [4, 5], [28, 1]], 1/5376],
[[[1, 1], [2, 2], [4, 7], [8, 2]], 1/368640],
[[[1, 1], [2, 2], [4, 7], [12, 2]], 13/61440],
[[[1, 1], [2, 2], [4, 7], [16, 1]], 1/2580480],
[[[1, 1], [2, 2], [4, 7], [20, 1]], 31/460800],
[[[1, 1], [2, 2], [4, 9], [8, 1]], 1/860160],
[[[1, 1], [2, 2], [4, 9], [12, 1]], 1/107520],
[[[1, 1], [2, 4], [4, 2], [8, 4]], 1/65536],
[[[1, 1], [2, 4], [4, 4], [8, 3]], 3/131072],
[[[1, 1], [2, 4], [4, 4], [14, 2]], 1/802816],
[[[1, 1], [2, 4], [6, 2], [10, 4]], 1/90000],
[[[1, 1], [2, 4], [10, 2], [14, 2]], 1/19600],
[[[1, 1], [2, 6], [4, 3], [8, 3]], 5/196608],
[[[1, 1], [2, 6], [4, 3], [14, 2]], 5/401408],
[[[1, 1], [2, 6], [4, 5], [8, 2]], 17/4718592],
[[[1, 1], [2, 6], [6, 1], [10, 4]], 1/22500],
[[[1, 1], [2, 6], [6, 3], [10, 3]], 7/216000],
[[[1, 1], [2, 6], [10, 3], [14, 1]], 1/10500],
[[[1, 1], [2, 8], [4, 2], [8, 3]], 7/7864320],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 7/1152000],
[[[1, 1], [2, 8], [4, 2], [14, 2]], 1/1146880],
[[[1, 1], [2, 8], [4, 4], [6, 4]], 1/7077888],
[[[1, 1], [2, 8], [4, 4], [8, 2]], 2741/990904320],
[[[1, 1], [2, 8], [4, 4], [10, 2]], 7/14745600],
[[[1, 1], [2, 8], [4, 5], [6, 3]], 1/3538944],
[[[1, 1], [2, 8], [4, 5], [14, 1]], 1/5505024],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 359/5760000],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 5/451584],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 49/2073600],
[[[1, 1], [2, 8], [8, 1], [10, 3]], 1/288000],
[[[1, 1], [2, 8], [8, 1], [14, 2]], 1/6021120],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 1/179200],
[[[1, 1], [2, 10], [4, 1], [8, 3]], 1/82575360],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 7/1152000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 1/4816896],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 5/7962624],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 13/10616832],
[[[1, 1], [2, 10], [4, 3], [8, 2]], 13/132120576],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 1/819200],
[[[1, 1], [2, 10], [4, 3], [16, 1]], 1/82575360],
[[[1, 1], [2, 10], [4, 4], [6, 3]], 1/8847360],
[[[1, 1], [2, 10], [4, 4], [14, 1]], 29/2312110080],
[[[1, 1], [2, 10], [4, 5], [6, 2]], 1/15728640],
[[[1, 1], [2, 10], [4, 5], [8, 1]], 439/7927234560],
[[[1, 1], [2, 10], [4, 5], [10, 1]], 1/23592960],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 83/4480000],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 23/18063360],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 2351/82944000],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 1/193536],
[[[1, 1], [2, 10], [6, 5], [8, 1]], 1/1990656],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 1/155520],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 197/56448000],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 1/1990656],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 1/884736],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 247/637009920],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 317/3096576000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 29/106168320],
[[[1, 1], [2, 12], [4, 3], [14, 1]], 1/96337920],
[[[1, 1], [2, 12], [4, 4], [6, 2]], 41/3303014400],
[[[1, 1], [2, 12], [4, 4], [10, 1]], 1/309657600],
[[[1, 1], [2, 12], [4, 5], [6, 1]], 1/264241152],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 188789/30965760000],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 1/552960],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 17/159252480],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 511/99532800],
[[[1, 1], [2, 12], [8, 1], [10, 2]], 11/774144000],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 1/15925248],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 11/42467328],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 29/1032192000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 257/5573836800],
[[[1, 1], [2, 14], [4, 2], [14, 1]], 1/1415577600],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 11/619315200],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 1/79272345600],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 1/353894400],
[[[1, 1], [2, 14], [4, 4], [6, 1]], 13/39636172800],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 1433/5806080000],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 59/578027520],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 1/139345920],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 6689/7962624000],
[[[1, 1], [2, 14], [8, 1], [14, 1]], 1/17340825600],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 1/86016000],
[[[1, 1], [2, 16], [3, 1], [4, 3]], 1/4994157772800],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 53/29727129600],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 79/4246732800],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 17/138726604800],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 217/127401984000],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 1/3329438515200],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 421/2080899072000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 1/3397386240],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 289/173408256000],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 73/445906944000],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 20977/557383680000],
[[[1, 1], [2, 16], [8, 1], [10, 1]], 1/65028096000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 17/891813888000],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 59/132120576000],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 1/9512681472000],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 157/4161798144000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 1121/49941577728000],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 19/12485394432000],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 69827/124853944320000],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/299649466368000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/14269022208000],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 29/6658877030400],
[[[1, 1], [4, 2], [8, 2], [28, 1]], 1/1792],
[[[1, 1], [4, 2], [12, 1], [20, 2]], 1/600],
[[[1, 1], [4, 2], [20, 1], [28, 1]], 1/280],
[[[1, 1], [4, 4], [8, 2], [12, 2]], 1/9216],
[[[1, 1], [4, 4], [8, 2], [20, 1]], 1/7680],
[[[1, 1], [4, 4], [12, 1], [28, 1]], 1/1344],
[[[1, 1], [4, 4], [12, 2], [20, 1]], 1/960],
[[[1, 1], [4, 6], [8, 2], [12, 1]], 1/92160],
[[[1, 1], [4, 6], [12, 1], [20, 1]], 19/76800],
[[[1, 2], [2, 1], [4, 3], [20, 2]], 1/400],
[[[1, 2], [2, 1], [4, 5], [8, 3]], 1/16384],
[[[1, 2], [2, 1], [4, 5], [12, 3]], 1/2304],
[[[1, 2], [2, 1], [4, 5], [28, 1]], 1/5376],
[[[1, 2], [2, 1], [4, 7], [8, 2]], 1/368640],
[[[1, 2], [2, 1], [4, 7], [12, 2]], 13/61440],
[[[1, 2], [2, 1], [4, 7], [16, 1]], 1/2580480],
[[[1, 2], [2, 1], [4, 7], [20, 1]], 31/460800],
[[[1, 2], [2, 1], [4, 9], [8, 1]], 1/860160],
[[[1, 2], [2, 1], [4, 9], [12, 1]], 1/107520],
[[[1, 2], [2, 3], [4, 2], [8, 4]], 1/4096],
[[[1, 2], [2, 3], [4, 4], [8, 3]], 51/131072],
[[[1, 2], [2, 3], [4, 4], [12, 3]], 1/2304],
[[[1, 2], [2, 3], [4, 4], [28, 1]], 1/1536],
[[[1, 2], [2, 3], [4, 6], [8, 2]], 647/2621440],
[[[1, 2], [2, 3], [4, 6], [12, 2]], 7/10240],
[[[1, 2], [2, 3], [4, 6], [16, 1]], 1/92160],
[[[1, 2], [2, 3], [4, 6], [20, 1]], 19/46080],
[[[1, 2], [2, 3], [4, 8], [8, 1]], 9/286720],
[[[1, 2], [2, 3], [4, 8], [12, 1]], 37/430080],
[[[1, 2], [2, 3], [7, 2], [8, 2]], 1/50176],
[[[1, 2], [2, 3], [8, 1], [16, 2]], 1/512],
[[[1, 2], [2, 3], [8, 2], [14, 2]], 1/50176],
[[[1, 2], [2, 5], [4, 3], [8, 3]], 7/49152],
[[[1, 2], [2, 5], [4, 3], [14, 2]], 1/57344],
[[[1, 2], [2, 5], [4, 5], [8, 2]], 209/4718592],
[[[1, 2], [2, 5], [4, 6], [14, 1]], 11/5505024],
[[[1, 2], [2, 5], [6, 1], [10, 4]], 1/30000],
[[[1, 2], [2, 5], [6, 3], [10, 3]], 1/43200],
[[[1, 2], [2, 5], [10, 3], [14, 1]], 1/14000],
[[[1, 2], [2, 7], [4, 2], [7, 2]], 1/7225344],
[[[1, 2], [2, 7], [4, 2], [8, 3]], 69/2621440],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 7/384000],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 1/28672],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 1/7077888],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 2561/70778880],
[[[1, 2], [2, 7], [4, 4], [10, 2]], 13/4915200],
[[[1, 2], [2, 7], [4, 4], [16, 1]], 1/196608],
[[[1, 2], [2, 7], [4, 5], [6, 3]], 1/1769472],
[[[1, 2], [2, 7], [4, 5], [14, 1]], 1/786432],
[[[1, 2], [2, 7], [4, 6], [6, 2]], 35/28311552],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 49/18874368],
[[[1, 2], [2, 7], [4, 6], [10, 1]], 11/23592960],
[[[1, 2], [2, 7], [6, 2], [10, 3]], 67/576000],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 5/225792],
[[[1, 2], [2, 7], [6, 4], [8, 2]], 1/1327104],
[[[1, 2], [2, 7], [6, 4], [10, 2]], 7/207360],
[[[1, 2], [2, 7], [8, 1], [10, 3]], 7/288000],
[[[1, 2], [2, 7], [8, 1], [14, 2]], 1/286720],
[[[1, 2], [2, 7], [8, 2], [10, 2]], 1/921600],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 3/125440],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/432000],
[[[1, 2], [2, 9], [3, 1], [14, 2]], 1/9031680],
[[[1, 2], [2, 9], [4, 1], [8, 3]], 29/82575360],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 19/384000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 107/24084480],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 5/3981312],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 49/10616832],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 303/73400320],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 77/7372800],
[[[1, 2], [2, 9], [4, 3], [16, 1]], 29/82575360],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 3/655360],
[[[1, 2], [2, 9], [4, 4], [7, 1]], 107/1734082560],
[[[1, 2], [2, 9], [4, 4], [14, 1]], 1/516096],
[[[1, 2], [2, 9], [4, 5], [6, 2]], 7/11796480],
[[[1, 2], [2, 9], [4, 5], [8, 1]], 7271/7927234560],
[[[1, 2], [2, 9], [4, 5], [10, 1]], 1/2359296],
[[[1, 2], [2, 9], [4, 6], [6, 1]], 71/283115520],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 139/1920000],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 19/2580480],
[[[1, 2], [2, 9], [6, 3], [8, 2]], 1/6635520],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 1429/16588800],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 5/387072],
[[[1, 2], [2, 9], [6, 5], [8, 1]], 5/1990656],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 7/497664],
[[[1, 2], [2, 9], [7, 1], [8, 2]], 1/72253440],
[[[1, 2], [2, 9], [8, 2], [14, 1]], 1/144506880],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 187/8064000],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 23/5971968],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 1/1327104],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 17/2654208],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 4859/637009920],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 143/1887436800],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 17461/3096576000],
[[[1, 2], [2, 11], [4, 2], [16, 1]], 1/82575360],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 35/10616832],
[[[1, 2], [2, 11], [4, 3], [14, 1]], 1/3440640],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 1397/1321205760],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 73/566231040],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 5419/9909043200],
[[[1, 2], [2, 11], [4, 4], [12, 1]], 1/123863040],
[[[1, 2], [2, 11], [4, 5], [6, 1]], 89/1321205760],
[[[1, 2], [2, 11], [6, 2], [8, 2]], 11/1238630400],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 55417/1548288000],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 19/1935360],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 247/159252480],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 89/3981312],
[[[1, 2], [2, 11], [7, 1], [14, 1]], 1/41287680],
[[[1, 2], [2, 11], [8, 1], [10, 2]], 317/774144000],
[[[1, 2], [2, 11], [8, 2], [10, 1]], 1/619315200],
[[[1, 2], [2, 13], [3, 1], [4, 4]], 1/5945425920],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 71/59719680],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 11/1161216000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 1/53084160],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 269/70778880],
[[[1, 2], [2, 13], [4, 1], [8, 2]], 1/19818086400],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 2587/3096576000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 39811/22295347200],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 17/314572800],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 481/1238630400],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 23/26424115200],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 221/2477260800],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 509/7927234560],
[[[1, 2], [2, 13], [6, 1], [8, 2]], 1/7431782400],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 36863/13271040000],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 6787/5780275200],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 257/1393459200],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 30419/4459069440],
[[[1, 2], [2, 13], [8, 1], [14, 1]], 1/353894400],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 8473/43352064000],
[[[1, 2], [2, 15], [3, 1], [4, 3]], 19/1664719257600],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 17687/267544166400],
[[[1, 2], [2, 15], [3, 1], [14, 1]], 1/26011238400],
[[[1, 2], [2, 15], [3, 2], [4, 2]], 1/3745618329600],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 1/8493465600],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 281/594542592],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 823/138726604800],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 3391/28538044416],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 23/184968806400],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 3401/198180864000],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 1331/118908518400],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 23/707788800],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 217/31850496000],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 59191/111476736000],
[[[1, 2], [2, 15], [8, 1], [10, 1]], 421/520224768000],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 1/249707888640],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 23/20901888000],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 1/97542144000],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 1091/59454259200],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 863/66588770304000],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 7/3538944000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 6619/3121348608000],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 1121/12485394432000],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 763967/62426972160000],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 11/42807066624000],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 887/149824733184000],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 563/2219625676800],
[[[1, 3], [2, 2], [4, 2], [8, 4]], 1/4096],
[[[1, 3], [2, 2], [4, 4], [8, 3]], 51/131072],
[[[1, 3], [2, 2], [4, 4], [12, 3]], 1/2304],
[[[1, 3], [2, 2], [4, 4], [28, 1]], 1/1536],
[[[1, 3], [2, 2], [4, 6], [8, 2]], 647/2621440],
[[[1, 3], [2, 2], [4, 6], [12, 2]], 7/10240],
[[[1, 3], [2, 2], [4, 6], [16, 1]], 1/92160],
[[[1, 3], [2, 2], [4, 6], [20, 1]], 19/46080],
[[[1, 3], [2, 2], [4, 8], [8, 1]], 9/286720],
[[[1, 3], [2, 2], [4, 8], [12, 1]], 37/430080],
[[[1, 3], [2, 2], [7, 2], [8, 2]], 1/50176],
[[[1, 3], [2, 2], [8, 1], [16, 2]], 1/512],
[[[1, 3], [2, 2], [8, 2], [14, 2]], 1/50176],
[[[1, 3], [2, 4], [4, 3], [7, 2]], 1/1204224],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 515/393216],
[[[1, 3], [2, 4], [4, 3], [12, 3]], 1/6912],
[[[1, 3], [2, 4], [4, 3], [14, 2]], 1/172032],
[[[1, 3], [2, 4], [4, 3], [28, 1]], 1/1792],
[[[1, 3], [2, 4], [4, 5], [8, 2]], 423/262144],
[[[1, 3], [2, 4], [4, 5], [12, 2]], 5/6144],
[[[1, 3], [2, 4], [4, 5], [16, 1]], 19/196608],
[[[1, 3], [2, 4], [4, 5], [20, 1]], 13/15360],
[[[1, 3], [2, 4], [4, 6], [14, 1]], 11/5505024],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 244409/990904320],
[[[1, 3], [2, 4], [4, 7], [12, 1]], 7/23040],
[[[1, 3], [2, 4], [6, 3], [10, 3]], 1/216000],
[[[1, 3], [2, 6], [4, 2], [7, 2]], 13/7225344],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 781/7864320],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 11/384000],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 37/602112],
[[[1, 3], [2, 6], [4, 4], [6, 4]], 1/21233664],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 2357/7864320],
[[[1, 3], [2, 6], [4, 4], [10, 2]], 7/983040],
[[[1, 3], [2, 6], [4, 4], [16, 1]], 7/196608],
[[[1, 3], [2, 6], [4, 5], [6, 3]], 1/3538944],
[[[1, 3], [2, 6], [4, 5], [7, 1]], 1/1179648],
[[[1, 3], [2, 6], [4, 5], [14, 1]], 143/5505024],
[[[1, 3], [2, 6], [4, 6], [6, 2]], 23/14155776],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 47/2359296],
[[[1, 3], [2, 6], [4, 6], [10, 1]], 11/5898240],
[[[1, 3], [2, 6], [4, 7], [6, 1]], 11/4718592],
[[[1, 3], [2, 6], [5, 2], [10, 2]], 1/12000],
[[[1, 3], [2, 6], [6, 2], [10, 3]], 47/576000],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 5/225792],
[[[1, 3], [2, 6], [6, 4], [8, 2]], 1/442368],
[[[1, 3], [2, 6], [6, 4], [10, 2]], 23/1036800],
[[[1, 3], [2, 6], [7, 2], [8, 1]], 1/1204224],
[[[1, 3], [2, 6], [8, 1], [10, 3]], 1/19200],
[[[1, 3], [2, 6], [8, 1], [14, 2]], 3/200704],
[[[1, 3], [2, 6], [8, 2], [10, 2]], 7/921600],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 13/376320],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 7/432000],
[[[1, 3], [2, 8], [3, 1], [14, 2]], 1/430080],
[[[1, 3], [2, 8], [4, 1], [7, 2]], 1/14450688],
[[[1, 3], [2, 8], [4, 1], [8, 3]], 97/27525120],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 7/54000],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 211/10321920],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 5/3981312],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 13/1990656],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 7523/110100480],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 211/5529600],
[[[1, 3], [2, 8], [4, 3], [16, 1]], 47/5898240],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 31/2654208],
[[[1, 3], [2, 8], [4, 4], [7, 1]], 1423/1734082560],
[[[1, 3], [2, 8], [4, 4], [14, 1]], 97/6881280],
[[[1, 3], [2, 8], [4, 5], [5, 1]], 1/3932160],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 197/14155776],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 14243/566231040],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 1/122880],
[[[1, 3], [2, 8], [4, 5], [12, 1]], 1/294912],
[[[1, 3], [2, 8], [4, 6], [6, 1]], 541/283115520],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 71/576000],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 331/18063360],
[[[1, 3], [2, 8], [6, 3], [8, 2]], 1/552960],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 10043/82944000],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 5/290304],
[[[1, 3], [2, 8], [6, 5], [8, 1]], 5/995328],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 1/62208],
[[[1, 3], [2, 8], [7, 1], [8, 2]], 29/72253440],
[[[1, 3], [2, 8], [8, 2], [14, 1]], 29/144506880],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 7/115200],
[[[1, 3], [2, 10], [3, 1], [4, 5]], 53/424673280],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 73/5971968],
[[[1, 3], [2, 10], [3, 2], [4, 4]], 107/8918138880],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 29/3981312],
[[[1, 3], [2, 10], [3, 2], [8, 2]], 1/371589120],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 361/23887872],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 3769/127401984],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 41801/13212057600],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 152983/3096576000],
[[[1, 3], [2, 10], [4, 2], [16, 1]], 31/82575360],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 8381/318504960],
[[[1, 3], [2, 10], [4, 3], [7, 1]], 121/1156055040],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 3487/495452160],
[[[1, 3], [2, 10], [4, 4], [5, 1]], 107/2477260800],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 23/2359296],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 4939/1585446912],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 191/33030144],
[[[1, 3], [2, 10], [4, 4], [12, 1]], 29/123863040],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 1439/566231040],
[[[1, 3], [2, 10], [5, 1], [8, 2]], 1/103219200],
[[[1, 3], [2, 10], [5, 2], [10, 1]], 1/16128000],
[[[1, 3], [2, 10], [6, 2], [8, 2]], 41/206438400],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 155417/1548288000],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 43/1658880],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 1109/159252480],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 4819/99532800],
[[[1, 3], [2, 10], [7, 1], [14, 1]], 11/13762560],
[[[1, 3], [2, 10], [8, 1], [10, 2]], 23/6193152],
[[[1, 3], [2, 10], [8, 2], [10, 1]], 1/19353600],
[[[1, 3], [2, 12], [3, 1], [4, 4]], 1/169869312],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 1867/238878720],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 317/1161216000],
[[[1, 3], [2, 12], [3, 2], [4, 3]], 1/4459069440],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 37/53084160],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 17779/955514880],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 17/2831155200],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 37609/4644864000],
[[[1, 3], [2, 12], [4, 1], [16, 1]], 1/990904320],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 52121/2786918400],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 175601/138726604800],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 187247/29727129600],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 41243/237817036800],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 36439/14863564800],
[[[1, 3], [2, 12], [4, 3], [12, 1]], 1/123863040],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 18631/16986931200],
[[[1, 3], [2, 12], [6, 1], [8, 2]], 13/2477260800],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 17347/1161216000],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 499/80281600],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 4733/2786918400],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 379691/13934592000],
[[[1, 3], [2, 12], [8, 1], [14, 1]], 37/722534400],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 829/541900800],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 221/118908518400],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 9283/10701766656],
[[[1, 3], [2, 14], [3, 1], [14, 1]], 1/530841600],
[[[1, 3], [2, 14], [3, 2], [4, 2]], 19/1248539443200],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 557/59454259200],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 169363/38220595200],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 911/8493465600],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 113309/50960793600],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 7/905969664],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 34103/74317824000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 256927/713451110400],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 6487/20808990720],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 9497/89181388800],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 207463/55738368000],
[[[1, 3], [2, 14], [8, 1], [10, 1]], 3/183500800],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 557/2497078886400],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 16367/668860416000],
[[[1, 3], [2, 16], [3, 1], [8, 1]], 1/1248539443200],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 421/780337152000],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 1/1872809164800],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 1/44590694400],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 95791/334430208000],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 2479/4756340736000],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 2563/63700992000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 104051/1560674304000],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 26377/12485394432000],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 1726271/12485394432000],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 361/29964946636800],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 60083/299649466368000],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 888067/149824733184000],
[[[1, 3], [4, 3], [8, 2], [16, 1]], 1/16384],
[[[1, 3], [4, 4], [7, 1], [8, 2]], 1/43008],
[[[1, 4], [2, 1], [3, 2], [5, 4]], 1/90000],
[[[1, 4], [2, 1], [4, 2], [8, 4]], 1/65536],
[[[1, 4], [2, 1], [4, 4], [7, 2]], 1/802816],
[[[1, 4], [2, 1], [4, 4], [8, 3]], 3/131072],
[[[1, 4], [2, 1], [5, 2], [7, 2]], 1/19600],
[[[1, 4], [2, 3], [3, 3], [5, 3]], 1/216000],
[[[1, 4], [2, 3], [4, 3], [7, 2]], 1/172032],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 515/393216],
[[[1, 4], [2, 3], [4, 3], [12, 3]], 1/6912],
[[[1, 4], [2, 3], [4, 3], [14, 2]], 1/1204224],
[[[1, 4], [2, 3], [4, 3], [28, 1]], 1/1792],
[[[1, 4], [2, 3], [4, 5], [8, 2]], 423/262144],
[[[1, 4], [2, 3], [4, 5], [12, 2]], 5/6144],
[[[1, 4], [2, 3], [4, 5], [16, 1]], 19/196608],
[[[1, 4], [2, 3], [4, 5], [20, 1]], 13/15360],
[[[1, 4], [2, 3], [4, 6], [7, 1]], 11/5505024],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 244409/990904320],
[[[1, 4], [2, 3], [4, 7], [12, 1]], 7/23040],
[[[1, 4], [2, 5], [3, 2], [5, 3]], 1/3456000],
[[[1, 4], [2, 5], [3, 2], [7, 2]], 1/451584],
[[[1, 4], [2, 5], [3, 2], [14, 2]], 1/112896],
[[[1, 4], [2, 5], [3, 4], [5, 2]], 1/2073600],
[[[1, 4], [2, 5], [3, 4], [8, 2]], 1/1327104],
[[[1, 4], [2, 5], [4, 2], [7, 2]], 53/4816896],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 4021/7864320],
[[[1, 4], [2, 5], [4, 2], [10, 3]], 1/64000],
[[[1, 4], [2, 5], [4, 2], [14, 2]], 59/1605632],
[[[1, 4], [2, 5], [4, 2], [28, 1]], 1/21504],
[[[1, 4], [2, 5], [4, 4], [5, 2]], 1/409600],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 1631/786432],
[[[1, 4], [2, 5], [4, 4], [10, 2]], 3/409600],
[[[1, 4], [2, 5], [4, 4], [12, 2]], 37/110592],
[[[1, 4], [2, 5], [4, 4], [16, 1]], 11/49152],
[[[1, 4], [2, 5], [4, 4], [20, 1]], 43/92160],
[[[1, 4], [2, 5], [4, 5], [7, 1]], 7/1179648],
[[[1, 4], [2, 5], [4, 5], [14, 1]], 55/1835008],
[[[1, 4], [2, 5], [4, 6], [5, 1]], 11/3932160],
[[[1, 4], [2, 5], [4, 6], [6, 2]], 11/28311552],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 206131/283115520],
[[[1, 4], [2, 5], [4, 6], [10, 1]], 11/2621440],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 2029/4423680],
[[[1, 4], [2, 5], [4, 7], [6, 1]], 11/4718592],
[[[1, 4], [2, 5], [5, 1], [7, 2]], 1/752640],
[[[1, 4], [2, 5], [5, 2], [8, 2]], 1/102400],
[[[1, 4], [2, 5], [5, 2], [10, 2]], 19/36000],
[[[1, 4], [2, 5], [6, 2], [7, 2]], 1/112896],
[[[1, 4], [2, 5], [6, 2], [10, 3]], 61/3456000],
[[[1, 4], [2, 5], [6, 2], [14, 2]], 5/451584],
[[[1, 4], [2, 5], [6, 4], [8, 2]], 1/442368],
[[[1, 4], [2, 5], [6, 4], [10, 2]], 13/2073600],
[[[1, 4], [2, 5], [7, 2], [8, 1]], 13/1204224],
[[[1, 4], [2, 5], [8, 1], [10, 3]], 1/32000],
[[[1, 4], [2, 5], [8, 1], [14, 2]], 13/602112],
[[[1, 4], [2, 5], [8, 2], [10, 2]], 1/61440],
[[[1, 4], [2, 5], [8, 2], [16, 1]], 1/6144],
[[[1, 4], [2, 5], [10, 1], [14, 2]], 13/752640],
[[[1, 4], [2, 7], [3, 1], [4, 6]], 89/56623104],
[[[1, 4], [2, 7], [3, 1], [7, 2]], 1/3612672],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 1/28800],
[[[1, 4], [2, 7], [3, 1], [14, 2]], 1/100352],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 7/42467328],
[[[1, 4], [2, 7], [3, 3], [5, 2]], 1/16588800],
[[[1, 4], [2, 7], [4, 1], [7, 2]], 19/14450688],
[[[1, 4], [2, 7], [4, 1], [8, 3]], 907/82575360],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 103/864000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 279/8028160],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 5/7962624],
[[[1, 4], [2, 7], [4, 3], [5, 2]], 1/614400],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 11/2654208],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 4961/9437184],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 409/5529600],
[[[1, 4], [2, 7], [4, 3], [16, 1]], 7/131072],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 223/21233664],
[[[1, 4], [2, 7], [4, 4], [7, 1]], 5581/495452160],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 4951/66060288],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 7/2949120],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 47/1769472],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 6589/37748736],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 79/2359296],
[[[1, 4], [2, 7], [4, 5], [12, 1]], 7/294912],
[[[1, 4], [2, 7], [4, 6], [6, 1]], 803/28311552],
[[[1, 4], [2, 7], [6, 1], [7, 2]], 1/1806336],
[[[1, 4], [2, 7], [6, 1], [10, 3]], 31/345600],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 83/3612672],
[[[1, 4], [2, 7], [6, 3], [8, 2]], 1/184320],
[[[1, 4], [2, 7], [6, 3], [10, 2]], 461/5529600],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 5/387072],
[[[1, 4], [2, 7], [6, 5], [8, 1]], 5/995328],
[[[1, 4], [2, 7], [6, 5], [10, 1]], 5/497664],
[[[1, 4], [2, 7], [7, 1], [8, 2]], 83/20643840],
[[[1, 4], [2, 7], [8, 2], [14, 1]], 1/322560],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 53/806400],
[[[1, 4], [2, 9], [3, 1], [4, 5]], 607/424673280],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 125/5971968],
[[[1, 4], [2, 9], [3, 2], [4, 4]], 649/990904320],
[[[1, 4], [2, 9], [3, 2], [5, 2]], 1/530841600],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 637/11943936],
[[[1, 4], [2, 9], [3, 2], [8, 2]], 1/12386304],
[[[1, 4], [2, 9], [3, 2], [10, 2]], 1/2073600],
[[[1, 4], [2, 9], [3, 3], [4, 3]], 1/7962624],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 1/82944],
[[[1, 4], [2, 9], [3, 4], [4, 2]], 1/191102976],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 1/1327104],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 455/23887872],
[[[1, 4], [2, 9], [4, 2], [5, 2]], 1/14745600],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 31781/637009920],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 5099/132120576],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 68309/442368000],
[[[1, 4], [2, 9], [4, 2], [16, 1]], 71/17694720],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 175/2654208],
[[[1, 4], [2, 9], [4, 3], [7, 1]], 2179/1156055040],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 155891/3468165120],
[[[1, 4], [2, 9], [4, 4], [5, 1]], 17761/14863564800],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 99379/1698693120],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 1411631/23781703680],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 53309/1415577600],
[[[1, 4], [2, 9], [4, 4], [12, 1]], 47/8847360],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 11179/566231040],
[[[1, 4], [2, 9], [5, 1], [8, 2]], 11/38707200],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 1/230400],
[[[1, 4], [2, 9], [5, 2], [10, 1]], 109/48384000],
[[[1, 4], [2, 9], [6, 2], [8, 2]], 439/247726080],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 64501/442368000],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 883/23224320],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 463/31850496],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 5777/99532800],
[[[1, 4], [2, 9], [7, 1], [14, 1]], 89/10321920],
[[[1, 4], [2, 9], [8, 1], [10, 2]], 1627/110592000],
[[[1, 4], [2, 9], [8, 2], [10, 1]], 107/123863040],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 559/1132462080],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 6089/238878720],
[[[1, 4], [2, 11], [3, 1], [8, 2]], 1/247726080],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 23/9289728],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 503/17836277760],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 419/47775744],
[[[1, 4], [2, 11], [3, 2], [14, 1]], 1/325140480],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 11/53084160],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 42941/955514880],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 5303/19818086400],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 165451/4644864000],
[[[1, 4], [2, 11], [4, 1], [16, 1]], 11/330301440],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 52499/743178240],
[[[1, 4], [2, 11], [4, 2], [7, 1]], 73/1321205760],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 11941/1156055040],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 121/1651507200],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 36641/825753600],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 389113/79272345600],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 41557/1857945600],
[[[1, 4], [2, 11], [4, 3], [12, 1]], 31/123863040],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 71303/5945425920],
[[[1, 4], [2, 11], [6, 1], [8, 2]], 251/2477260800],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 79819/1857945600],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 10223/578027520],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 311/43545600],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 74687/1238630400],
[[[1, 4], [2, 11], [8, 1], [14, 1]], 187/433520640],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 9013/1445068800],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 2969/50960793600],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 208031/38220595200],
[[[1, 4], [2, 13], [3, 1], [14, 1]], 37/1083801600],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 1/1274019840],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 5311/22295347200],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 1/1393459200],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 668809/33443020800],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 383477/416179814400],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 12046697/713451110400],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 3413/15854469120],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 2830799/594542592000],
[[[1, 4], [2, 13], [4, 2], [12, 1]], 1/1486356480],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 1134269/237817036800],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 1/137625600],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 28283/17340825600],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 71/87091200],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 406787/27869184000],
[[[1, 4], [2, 13], [8, 1], [10, 1]], 3029/18579456000],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 13477/2140353331200],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 36359/133772083200],
[[[1, 4], [2, 15], [3, 1], [8, 1]], 19/416179814400],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 1/91750400],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 19/624269721600],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 79/66886041600],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 3001787/1337720832000],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 28337/2853804441600],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 1284833/3121348608000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 1261031/1426902220800],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 64247/2497078886400],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 91453/101921587200],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 53237/149824733184000],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 53303/14982473318400],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 10869899/149824733184000],
[[[1, 5], [2, 2], [3, 1], [5, 4]], 1/30000],
[[[1, 5], [2, 2], [3, 3], [5, 3]], 1/43200],
[[[1, 5], [2, 2], [4, 3], [7, 2]], 1/57344],
[[[1, 5], [2, 2], [4, 3], [8, 3]], 7/49152],
[[[1, 5], [2, 2], [4, 5], [8, 2]], 209/4718592],
[[[1, 5], [2, 2], [4, 6], [7, 1]], 11/5505024],
[[[1, 5], [2, 2], [5, 3], [7, 1]], 1/14000],
[[[1, 5], [2, 4], [3, 1], [4, 7]], 11/4718592],
[[[1, 5], [2, 4], [3, 2], [4, 6]], 11/28311552],
[[[1, 5], [2, 4], [3, 2], [5, 3]], 61/3456000],
[[[1, 5], [2, 4], [3, 2], [7, 2]], 5/451584],
[[[1, 5], [2, 4], [3, 2], [14, 2]], 1/112896],
[[[1, 5], [2, 4], [3, 4], [5, 2]], 13/2073600],
[[[1, 5], [2, 4], [3, 4], [8, 2]], 1/442368],
[[[1, 5], [2, 4], [4, 2], [5, 3]], 1/64000],
[[[1, 5], [2, 4], [4, 2], [7, 2]], 59/1605632],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 4021/7864320],
[[[1, 5], [2, 4], [4, 2], [14, 2]], 53/4816896],
[[[1, 5], [2, 4], [4, 2], [28, 1]], 1/21504],
[[[1, 5], [2, 4], [4, 4], [5, 2]], 3/409600],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 1631/786432],
[[[1, 5], [2, 4], [4, 4], [10, 2]], 1/409600],
[[[1, 5], [2, 4], [4, 4], [12, 2]], 37/110592],
[[[1, 5], [2, 4], [4, 4], [16, 1]], 11/49152],
[[[1, 5], [2, 4], [4, 4], [20, 1]], 43/92160],
[[[1, 5], [2, 4], [4, 5], [7, 1]], 55/1835008],
[[[1, 5], [2, 4], [4, 5], [14, 1]], 7/1179648],
[[[1, 5], [2, 4], [4, 6], [5, 1]], 11/2621440],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 206131/283115520],
[[[1, 5], [2, 4], [4, 6], [10, 1]], 11/3932160],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 2029/4423680],
[[[1, 5], [2, 4], [5, 1], [7, 2]], 13/752640],
[[[1, 5], [2, 4], [5, 2], [8, 2]], 1/61440],
[[[1, 5], [2, 4], [5, 2], [10, 2]], 19/36000],
[[[1, 5], [2, 4], [5, 3], [8, 1]], 1/32000],
[[[1, 5], [2, 4], [6, 2], [7, 2]], 1/112896],
[[[1, 5], [2, 4], [6, 2], [10, 3]], 1/3456000],
[[[1, 5], [2, 4], [6, 2], [14, 2]], 1/451584],
[[[1, 5], [2, 4], [6, 4], [8, 2]], 1/1327104],
[[[1, 5], [2, 4], [6, 4], [10, 2]], 1/2073600],
[[[1, 5], [2, 4], [7, 2], [8, 1]], 13/602112],
[[[1, 5], [2, 4], [8, 1], [14, 2]], 13/1204224],
[[[1, 5], [2, 4], [8, 2], [10, 2]], 1/102400],
[[[1, 5], [2, 4], [8, 2], [16, 1]], 1/6144],
[[[1, 5], [2, 4], [10, 1], [14, 2]], 1/752640],
[[[1, 5], [2, 6], [3, 1], [4, 6]], 491/56623104],
[[[1, 5], [2, 6], [3, 1], [5, 3]], 1/1152000],
[[[1, 5], [2, 6], [3, 1], [7, 2]], 5/1204224],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 1/48000],
[[[1, 5], [2, 6], [3, 1], [14, 2]], 13/903168],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 41/10616832],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 5/10616832],
[[[1, 5], [2, 6], [3, 3], [5, 2]], 43/16588800],
[[[1, 5], [2, 6], [3, 3], [8, 2]], 1/442368],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 1/31850496],
[[[1, 5], [2, 6], [3, 4], [7, 1]], 1/1161216],
[[[1, 5], [2, 6], [3, 5], [5, 1]], 1/2488320],
[[[1, 5], [2, 6], [3, 5], [8, 1]], 1/1990656],
[[[1, 5], [2, 6], [4, 1], [5, 3]], 1/384000],
[[[1, 5], [2, 6], [4, 1], [7, 2]], 17/2064384],
[[[1, 5], [2, 6], [4, 1], [8, 3]], 109/1474560],
[[[1, 5], [2, 6], [4, 1], [10, 3]], 41/1152000],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 41/1605632],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 1/7962624],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 127/7372800],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 11/10616832],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 4247/2949120],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 149/2457600],
[[[1, 5], [2, 6], [4, 3], [12, 2]], 1/110592],
[[[1, 5], [2, 6], [4, 3], [16, 1]], 197/1179648],
[[[1, 5], [2, 6], [4, 3], [20, 1]], 1/30720],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 5/1327104],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 223/3670016],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 2489/22020096],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 209/7077888],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 1433/84934656],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 117385/113246208],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 3761/70778880],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 65/221184],
[[[1, 5], [2, 6], [4, 6], [6, 1]], 319/9437184],
[[[1, 5], [2, 6], [5, 2], [7, 1]], 1/537600],
[[[1, 5], [2, 6], [6, 1], [7, 2]], 13/1806336],
[[[1, 5], [2, 6], [6, 1], [10, 3]], 79/3456000],
[[[1, 5], [2, 6], [6, 1], [14, 2]], 53/3612672],
[[[1, 5], [2, 6], [6, 3], [8, 2]], 1/165888],
[[[1, 5], [2, 6], [6, 3], [10, 2]], 143/5529600],
[[[1, 5], [2, 6], [6, 4], [14, 1]], 1/193536],
[[[1, 5], [2, 6], [6, 5], [8, 1]], 5/1990656],
[[[1, 5], [2, 6], [6, 5], [10, 1]], 1/311040],
[[[1, 5], [2, 6], [7, 1], [8, 2]], 17/1376256],
[[[1, 5], [2, 6], [8, 2], [14, 1]], 1/86016],
[[[1, 5], [2, 6], [10, 2], [14, 1]], 43/1612800],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 5995/339738624],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 125/5971968],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 39637/5945425920],
[[[1, 5], [2, 8], [3, 2], [5, 2]], 121/530841600],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 19/147456],
[[[1, 5], [2, 8], [3, 2], [8, 2]], 71/82575360],
[[[1, 5], [2, 8], [3, 2], [10, 2]], 7/2073600],
[[[1, 5], [2, 8], [3, 3], [4, 3]], 37/15925248],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 13/124416],
[[[1, 5], [2, 8], [3, 3], [7, 1]], 1/9289728],
[[[1, 5], [2, 8], [3, 4], [4, 2]], 11/21233664],
[[[1, 5], [2, 8], [3, 4], [5, 1]], 1/19906560],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 29/3981312],
[[[1, 5], [2, 8], [3, 4], [8, 1]], 1/31850496],
[[[1, 5], [2, 8], [3, 5], [4, 1]], 1/23887872],
[[[1, 5], [2, 8], [3, 5], [6, 1]], 1/1990656],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 325/23887872],
[[[1, 5], [2, 8], [4, 2], [5, 2]], 131/44236800],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 5567/127401984],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 350213/1981808640],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 5753/29491200],
[[[1, 5], [2, 8], [4, 2], [16, 1]], 2251/123863040],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 7879/106168320],
[[[1, 5], [2, 8], [4, 3], [7, 1]], 9967/495452160],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 1619/14155776],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 52739/3715891200],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 6499/56623104],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 1336267/3397386240],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 29843/235929600],
[[[1, 5], [2, 8], [4, 4], [12, 1]], 7/196608],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 180601/1698693120],
[[[1, 5], [2, 8], [5, 1], [8, 2]], 1801/619315200],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 7/153600],
[[[1, 5], [2, 8], [5, 2], [8, 1]], 1/2457600],
[[[1, 5], [2, 8], [5, 2], [10, 1]], 37/1512000],
[[[1, 5], [2, 8], [6, 2], [8, 2]], 1/163840],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 48541/442368000],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 53/1658880],
[[[1, 5], [2, 8], [6, 4], [8, 1]], 31/1966080],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 3889/99532800],
[[[1, 5], [2, 8], [7, 1], [14, 1]], 377/10321920],
[[[1, 5], [2, 8], [8, 1], [10, 2]], 607/22118400],
[[[1, 5], [2, 8], [8, 2], [10, 1]], 1/204800],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 445783/71345111040],
[[[1, 5], [2, 10], [3, 1], [5, 2]], 1/176947200],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 2245/47775744],
[[[1, 5], [2, 10], [3, 1], [8, 2]], 89/743178240],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 1627/165888000],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 6031/4459069440],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 863/15925248],
[[[1, 5], [2, 10], [3, 2], [7, 1]], 1/297271296],
[[[1, 5], [2, 10], [3, 2], [14, 1]], 29/325140480],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 19/127401984],
[[[1, 5], [2, 10], [3, 3], [5, 1]], 1/637009920],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 157/31850496],
[[[1, 5], [2, 10], [3, 4], [4, 1]], 1/382205952],
[[[1, 5], [2, 10], [3, 4], [6, 1]], 1/15925248],
[[[1, 5], [2, 10], [4, 1], [5, 2]], 1/29491200],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 14581/238878720],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 15773/3963617280],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 91061/1161216000],
[[[1, 5], [2, 10], [4, 1], [16, 1]], 89/247726080],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 763/5898240],
[[[1, 5], [2, 10], [4, 2], [7, 1]], 1697/1321205760],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 122711/3468165120],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 943/495452160],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 134423/990904320],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 2756729/47563407360],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 674063/7431782400],
[[[1, 5], [2, 10], [4, 3], [12, 1]], 71/26542080],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 22279/330301440],
[[[1, 5], [2, 10], [5, 1], [7, 1]], 1/82575360],
[[[1, 5], [2, 10], [6, 1], [8, 2]], 1319/1486356480],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 79333/1161216000],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 8401/289013760],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 8719/557383680],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 47993/619315200],
[[[1, 5], [2, 10], [7, 1], [8, 1]], 1/33030144],
[[[1, 5], [2, 10], [8, 1], [14, 1]], 1051/578027520],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 3767/270950400],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 743593/713451110400],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 2502061/133772083200],
[[[1, 5], [2, 12], [3, 1], [14, 1]], 187/650280960],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 64483/2140353331200],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 11/4147200],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 1/43545600],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 131/17836277760],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 6667613/133772083200],
[[[1, 5], [2, 12], [4, 1], [7, 1]], 101/9248440320],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 287461/69363302400],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 73/1887436800],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 2739853/44590694400],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 24739/7927234560],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 232199/9909043200],
[[[1, 5], [2, 12], [4, 2], [12, 1]], 11/495452160],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 693383/23781703680],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 11/45875200],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 86249/17340825600],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 149309/44590694400],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 1890059/55738368000],
[[[1, 5], [2, 12], [8, 1], [10, 1]], 1091/1238630400],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 171497/1664719257600],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 179443/107017666560],
[[[1, 5], [2, 14], [3, 1], [8, 1]], 1/990904320],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 3029/27869184000],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 1/1114767360],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 347/14863564800],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 21016651/2140353331200],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 175391/1664719257600],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 1397603/594542592000],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 8412097/1426902220800],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 10579/59454259200],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 12617419/3567255552000],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 40631/6658877030400],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 436561/11985978654720],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 154360919/299649466368000],
[[[1, 5], [3, 1], [4, 3], [8, 3]], 1/49152],
[[[1, 5], [3, 1], [5, 3], [7, 1]], 1/21000],
[[[1, 5], [3, 2], [4, 2], [5, 3]], 1/288000],
[[[1, 5], [3, 2], [4, 4], [5, 2]], 1/3686400],
[[[1, 5], [3, 2], [4, 4], [8, 2]], 5/442368],
[[[1, 5], [4, 2], [5, 1], [7, 2]], 1/62720],
[[[1, 5], [4, 4], [5, 1], [8, 2]], 1/184320],
[[[1, 5], [4, 4], [8, 1], [16, 1]], 1/196608],
[[[1, 6], [2, 1], [3, 1], [5, 4]], 1/22500],
[[[1, 6], [2, 1], [3, 3], [5, 3]], 7/216000],
[[[1, 6], [2, 1], [4, 3], [7, 2]], 5/401408],
[[[1, 6], [2, 1], [4, 3], [8, 3]], 5/196608],
[[[1, 6], [2, 1], [4, 5], [8, 2]], 17/4718592],
[[[1, 6], [2, 1], [5, 3], [7, 1]], 1/10500],
[[[1, 6], [2, 3], [3, 1], [4, 7]], 11/4718592],
[[[1, 6], [2, 3], [3, 2], [4, 6]], 23/14155776],
[[[1, 6], [2, 3], [3, 2], [5, 3]], 47/576000],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 5/225792],
[[[1, 6], [2, 3], [3, 3], [4, 5]], 1/3538944],
[[[1, 6], [2, 3], [3, 4], [4, 4]], 1/21233664],
[[[1, 6], [2, 3], [3, 4], [5, 2]], 23/1036800],
[[[1, 6], [2, 3], [3, 4], [8, 2]], 1/442368],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 11/384000],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 37/602112],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 781/7864320],
[[[1, 6], [2, 3], [4, 2], [14, 2]], 13/7225344],
[[[1, 6], [2, 3], [4, 4], [5, 2]], 7/983040],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 2357/7864320],
[[[1, 6], [2, 3], [4, 4], [16, 1]], 7/196608],
[[[1, 6], [2, 3], [4, 5], [7, 1]], 143/5505024],
[[[1, 6], [2, 3], [4, 5], [14, 1]], 1/1179648],
[[[1, 6], [2, 3], [4, 6], [5, 1]], 11/5898240],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 47/2359296],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 13/376320],
[[[1, 6], [2, 3], [5, 2], [8, 2]], 7/921600],
[[[1, 6], [2, 3], [5, 2], [10, 2]], 1/12000],
[[[1, 6], [2, 3], [5, 3], [8, 1]], 1/19200],
[[[1, 6], [2, 3], [7, 2], [8, 1]], 3/200704],
[[[1, 6], [2, 3], [8, 1], [14, 2]], 1/1204224],
[[[1, 6], [2, 5], [3, 1], [4, 6]], 319/9437184],
[[[1, 6], [2, 5], [3, 1], [5, 3]], 79/3456000],
[[[1, 6], [2, 5], [3, 1], [7, 2]], 53/3612672],
[[[1, 6], [2, 5], [3, 1], [14, 2]], 13/1806336],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 1433/84934656],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 5/1327104],
[[[1, 6], [2, 5], [3, 3], [5, 2]], 143/5529600],
[[[1, 6], [2, 5], [3, 3], [8, 2]], 1/165888],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 11/10616832],
[[[1, 6], [2, 5], [3, 4], [7, 1]], 1/193536],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 1/7962624],
[[[1, 6], [2, 5], [3, 5], [5, 1]], 1/311040],
[[[1, 6], [2, 5], [3, 5], [8, 1]], 5/1990656],
[[[1, 6], [2, 5], [4, 1], [5, 3]], 41/1152000],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 41/1605632],
[[[1, 6], [2, 5], [4, 1], [8, 3]], 109/1474560],
[[[1, 6], [2, 5], [4, 1], [10, 3]], 1/384000],
[[[1, 6], [2, 5], [4, 1], [14, 2]], 17/2064384],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 149/2457600],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 1/31850496],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 4247/2949120],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 127/7372800],
[[[1, 6], [2, 5], [4, 3], [12, 2]], 1/110592],
[[[1, 6], [2, 5], [4, 3], [16, 1]], 197/1179648],
[[[1, 6], [2, 5], [4, 3], [20, 1]], 1/30720],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 5/10616832],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 2489/22020096],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 223/3670016],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 3761/70778880],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 41/10616832],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 117385/113246208],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 209/7077888],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 65/221184],
[[[1, 6], [2, 5], [4, 6], [6, 1]], 491/56623104],
[[[1, 6], [2, 5], [5, 2], [7, 1]], 43/1612800],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 1/48000],
[[[1, 6], [2, 5], [6, 1], [7, 2]], 13/903168],
[[[1, 6], [2, 5], [6, 1], [10, 3]], 1/1152000],
[[[1, 6], [2, 5], [6, 1], [14, 2]], 5/1204224],
[[[1, 6], [2, 5], [6, 3], [8, 2]], 1/442368],
[[[1, 6], [2, 5], [6, 3], [10, 2]], 43/16588800],
[[[1, 6], [2, 5], [6, 4], [14, 1]], 1/1161216],
[[[1, 6], [2, 5], [6, 5], [8, 1]], 1/1990656],
[[[1, 6], [2, 5], [6, 5], [10, 1]], 1/2488320],
[[[1, 6], [2, 5], [7, 1], [8, 2]], 1/86016],
[[[1, 6], [2, 5], [8, 2], [14, 1]], 17/1376256],
[[[1, 6], [2, 5], [10, 2], [14, 1]], 1/537600],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 132379/1698693120],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 73/5971968],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 50267/1274019840],
[[[1, 6], [2, 7], [3, 2], [5, 2]], 47/8847360],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 19/147456],
[[[1, 6], [2, 7], [3, 2], [8, 2]], 259/53084160],
[[[1, 6], [2, 7], [3, 2], [10, 2]], 1/138240],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 875/63700992],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 23/82944],
[[[1, 6], [2, 7], [3, 3], [7, 1]], 1/331776],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 631/127401984],
[[[1, 6], [2, 7], [3, 4], [5, 1]], 41/19906560],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 637/11943936],
[[[1, 6], [2, 7], [3, 4], [8, 1]], 7/3538944],
[[[1, 6], [2, 7], [3, 5], [4, 1]], 23/23887872],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 23/5971968],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 127/23887872],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 7817/265420800],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 7859/382205952],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 2500787/6606028800],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 29483/265420800],
[[[1, 6], [2, 7], [4, 2], [16, 1]], 173/4423680],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 1373/31850496],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 9281/99090432],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 25021/165150720],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 15061/132710400],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 33433/339738624],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 3695147/3397386240],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 6119/31457280],
[[[1, 6], [2, 7], [4, 4], [12, 1]], 197/1769472],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 255893/1698693120],
[[[1, 6], [2, 7], [5, 1], [8, 2]], 53/5529600],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 47/460800],
[[[1, 6], [2, 7], [5, 2], [6, 2]], 1/230400],
[[[1, 6], [2, 7], [5, 2], [8, 1]], 53/7372800],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 287/3456000],
[[[1, 6], [2, 7], [6, 2], [8, 2]], 61/7077888],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 1739/44236800],
[[[1, 6], [2, 7], [6, 3], [14, 1]], 17/1161216],
[[[1, 6], [2, 7], [6, 4], [8, 1]], 277/31850496],
[[[1, 6], [2, 7], [6, 4], [10, 1]], 55/3981312],
[[[1, 6], [2, 7], [7, 1], [14, 1]], 52921/722534400],
[[[1, 6], [2, 7], [8, 1], [10, 2]], 101/4423680],
[[[1, 6], [2, 7], [8, 2], [10, 1]], 13/1179648],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 5938981/118908518400],
[[[1, 6], [2, 9], [3, 1], [5, 2]], 1/3317760],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 4087/79626240],
[[[1, 6], [2, 9], [3, 1], [8, 2]], 1033/825753600],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 607/33177600],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 6001/424673280],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 683/4423680],
[[[1, 6], [2, 9], [3, 2], [7, 1]], 7/21233664],
[[[1, 6], [2, 9], [3, 2], [14, 1]], 17/23224320],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 161/47775744],
[[[1, 6], [2, 9], [3, 3], [5, 1]], 73/318504960],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 317/8847360],
[[[1, 6], [2, 9], [3, 3], [8, 1]], 1/5308416],
[[[1, 6], [2, 9], [3, 4], [4, 1]], 55/127401984],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 11/5971968],
[[[1, 6], [2, 9], [4, 1], [5, 2]], 107/88473600],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 23123/477757440],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 36667/1981808640],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 29023/331776000],
[[[1, 6], [2, 9], [4, 1], [16, 1]], 6151/3715891200],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 30769/238878720],
[[[1, 6], [2, 9], [4, 2], [7, 1]], 23701/1981808640],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 2723621/41617981440],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 349/15482880],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 14747/70778880],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 223558411/713451110400],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 117049/619315200],
[[[1, 6], [2, 9], [4, 3], [12, 1]], 2251/185794560],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 175387/849346560],
[[[1, 6], [2, 9], [5, 1], [7, 1]], 11/30965760],
[[[1, 6], [2, 9], [5, 2], [6, 1]], 1/3686400],
[[[1, 6], [2, 9], [6, 1], [8, 2]], 241/70778880],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 8711/147456000],
[[[1, 6], [2, 9], [6, 2], [7, 1]], 1/1720320],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 257/9175040],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 743/39813120],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 91729/1592524800],
[[[1, 6], [2, 9], [7, 1], [8, 1]], 17/33030144],
[[[1, 6], [2, 9], [7, 1], [10, 1]], 1/3225600],
[[[1, 6], [2, 9], [8, 1], [14, 1]], 6913/1734082560],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 10511/619315200],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 1345741/142690222080],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 1060091/26754416640],
[[[1, 6], [2, 11], [3, 1], [7, 1]], 1/66060288],
[[[1, 6], [2, 11], [3, 1], [14, 1]], 1051/867041280],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 13535/14269022208],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 1/106168320],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 38879/2378170368],
[[[1, 6], [2, 11], [3, 2], [8, 1]], 1/169869312],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 13/55738368],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 7/169869312],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 47/132120576],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 4905043/66886041600],
[[[1, 6], [2, 11], [4, 1], [7, 1]], 2719/9248440320],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 61547/5945425920],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 97/88473600],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 44551741/356725555200],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 11434691/475634073600],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 2212501/35672555520],
[[[1, 6], [2, 11], [4, 2], [12, 1]], 89/371589120],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 4788551/50960793600],
[[[1, 6], [2, 11], [5, 1], [8, 1]], 1/47185920],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 89/34406400],
[[[1, 6], [2, 11], [6, 1], [7, 1]], 19/412876800],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 95089/10404495360],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 173147/22295347200],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 530849/11147673600],
[[[1, 6], [2, 11], [8, 1], [10, 1]], 3989/1486356480],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 18629/19025362944],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 101/396361728000],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 829699/133772083200],
[[[1, 6], [2, 13], [3, 1], [8, 1]], 493/44590694400],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 1091/1857945600],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 5303/305764761600],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 14381/59454259200],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 101/13212057600],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 1368109/53508833280],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 171959/237817036800],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 439541/55738368000],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 1337101/61152952320],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 129667/178362777600],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 7762087/891813888000],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 3615323/59929893273600],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 30779/135895449600],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 26773739/11985978654720],
[[[1, 7], [2, 2], [3, 2], [4, 6]], 35/28311552],
[[[1, 7], [2, 2], [3, 2], [5, 3]], 67/576000],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 5/225792],
[[[1, 7], [2, 2], [3, 3], [4, 5]], 1/1769472],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 1/7077888],
[[[1, 7], [2, 2], [3, 4], [5, 2]], 7/207360],
[[[1, 7], [2, 2], [3, 4], [8, 2]], 1/1327104],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 7/384000],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 1/28672],
[[[1, 7], [2, 2], [4, 2], [8, 3]], 69/2621440],
[[[1, 7], [2, 2], [4, 2], [14, 2]], 1/7225344],
[[[1, 7], [2, 2], [4, 4], [5, 2]], 13/4915200],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 2561/70778880],
[[[1, 7], [2, 2], [4, 4], [16, 1]], 1/196608],
[[[1, 7], [2, 2], [4, 5], [7, 1]], 1/786432],
[[[1, 7], [2, 2], [4, 6], [5, 1]], 11/23592960],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 49/18874368],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 3/125440],
[[[1, 7], [2, 2], [5, 2], [8, 2]], 1/921600],
[[[1, 7], [2, 2], [5, 3], [8, 1]], 7/288000],
[[[1, 7], [2, 2], [7, 2], [8, 1]], 1/286720],
[[[1, 7], [2, 4], [3, 1], [4, 6]], 803/28311552],
[[[1, 7], [2, 4], [3, 1], [5, 3]], 31/345600],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 83/3612672],
[[[1, 7], [2, 4], [3, 1], [14, 2]], 1/1806336],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 47/1769472],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 223/21233664],
[[[1, 7], [2, 4], [3, 3], [5, 2]], 461/5529600],
[[[1, 7], [2, 4], [3, 3], [8, 2]], 1/184320],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 11/2654208],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 5/387072],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 5/7962624],
[[[1, 7], [2, 4], [3, 5], [5, 1]], 5/497664],
[[[1, 7], [2, 4], [3, 5], [8, 1]], 5/995328],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 103/864000],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 279/8028160],
[[[1, 7], [2, 4], [4, 1], [8, 3]], 907/82575360],
[[[1, 7], [2, 4], [4, 1], [14, 2]], 19/14450688],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 409/5529600],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 4961/9437184],
[[[1, 7], [2, 4], [4, 3], [10, 2]], 1/614400],
[[[1, 7], [2, 4], [4, 3], [16, 1]], 7/131072],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 4951/66060288],
[[[1, 7], [2, 4], [4, 4], [14, 1]], 5581/495452160],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 79/2359296],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 7/42467328],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 6589/37748736],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 7/2949120],
[[[1, 7], [2, 4], [4, 5], [12, 1]], 7/294912],
[[[1, 7], [2, 4], [4, 6], [6, 1]], 89/56623104],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 53/806400],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 1/28800],
[[[1, 7], [2, 4], [6, 1], [7, 2]], 1/100352],
[[[1, 7], [2, 4], [6, 1], [14, 2]], 1/3612672],
[[[1, 7], [2, 4], [6, 3], [10, 2]], 1/16588800],
[[[1, 7], [2, 4], [7, 1], [8, 2]], 1/322560],
[[[1, 7], [2, 4], [8, 2], [14, 1]], 83/20643840],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 255893/1698693120],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 23/5971968],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 33433/339738624],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 1739/44236800],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 637/11943936],
[[[1, 7], [2, 6], [3, 2], [8, 2]], 61/7077888],
[[[1, 7], [2, 6], [3, 2], [10, 2]], 1/230400],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 1373/31850496],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 23/82944],
[[[1, 7], [2, 6], [3, 3], [7, 1]], 17/1161216],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 7859/382205952],
[[[1, 7], [2, 6], [3, 4], [5, 1]], 55/3981312],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 19/147456],
[[[1, 7], [2, 6], [3, 4], [8, 1]], 277/31850496],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 127/23887872],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 73/5971968],
[[[1, 7], [2, 6], [4, 1], [6, 5]], 23/23887872],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 29483/265420800],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 631/127401984],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 2500787/6606028800],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 7817/265420800],
[[[1, 7], [2, 6], [4, 2], [16, 1]], 173/4423680],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 875/63700992],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 25021/165150720],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 9281/99090432],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 6119/31457280],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 50267/1274019840],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 3695147/3397386240],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 15061/132710400],
[[[1, 7], [2, 6], [4, 4], [12, 1]], 197/1769472],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 132379/1698693120],
[[[1, 7], [2, 6], [5, 1], [8, 2]], 13/1179648],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 287/3456000],
[[[1, 7], [2, 6], [5, 2], [6, 2]], 1/138240],
[[[1, 7], [2, 6], [5, 2], [8, 1]], 101/4423680],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 47/460800],
[[[1, 7], [2, 6], [6, 2], [8, 2]], 259/53084160],
[[[1, 7], [2, 6], [6, 2], [10, 2]], 47/8847360],
[[[1, 7], [2, 6], [6, 3], [14, 1]], 1/331776],
[[[1, 7], [2, 6], [6, 4], [8, 1]], 7/3538944],
[[[1, 7], [2, 6], [6, 4], [10, 1]], 41/19906560],
[[[1, 7], [2, 6], [7, 1], [14, 1]], 52921/722534400],
[[[1, 7], [2, 6], [8, 1], [10, 2]], 53/7372800],
[[[1, 7], [2, 6], [8, 2], [10, 1]], 53/5529600],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 20917439/118908518400],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 2521/530841600],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 7877/238878720],
[[[1, 7], [2, 8], [3, 1], [8, 2]], 403/91750400],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 101/6635520],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 2569/35389440],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 1225/5971968],
[[[1, 7], [2, 8], [3, 2], [7, 1]], 1189/297271296],
[[[1, 7], [2, 8], [3, 2], [14, 1]], 17/7741440],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 7057/318504960],
[[[1, 7], [2, 8], [3, 3], [5, 1]], 2741/637009920],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 10187/79626240],
[[[1, 7], [2, 8], [3, 3], [8, 1]], 13/3981312],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 959/191102976],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 185/15925248],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 1679/132710400],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 2317/106168320],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 15937/396361728],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 1297/26542080],
[[[1, 7], [2, 8], [4, 1], [16, 1]], 61753/17340825600],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 2869/39813120],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 281423/5945425920],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 3153901/41617981440],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 8357/66355200],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 6049/35389440],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 569362279/832359628800],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 5933/26542080],
[[[1, 7], [2, 8], [4, 3], [12, 1]], 173/6635520],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 224333/796262400],
[[[1, 7], [2, 8], [5, 1], [7, 1]], 817/247726080],
[[[1, 7], [2, 8], [5, 1], [14, 1]], 1/1075200],
[[[1, 7], [2, 8], [5, 2], [6, 1]], 53/11059200],
[[[1, 7], [2, 8], [6, 1], [8, 2]], 6233/1061683200],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 19/737280],
[[[1, 7], [2, 8], [6, 2], [7, 1]], 11/5160960],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 313/20643840],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 311/26542080],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 9257/398131200],
[[[1, 7], [2, 8], [7, 1], [8, 1]], 5/2064384],
[[[1, 7], [2, 8], [7, 1], [10, 1]], 1/806400],
[[[1, 7], [2, 8], [8, 1], [14, 1]], 139/30965760],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 169/15482880],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 18190871/356725555200],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 1423259/26754416640],
[[[1, 7], [2, 10], [3, 1], [7, 1]], 191/594542592],
[[[1, 7], [2, 10], [3, 1], [14, 1]], 6913/2601123840],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 464341/47563407360],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 83/212336640],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 2058883/35672555520],
[[[1, 7], [2, 10], [3, 2], [8, 1]], 1/3145728],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 17/16588800],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 967/764411904],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 72917/17836277760],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 347717/5350883328],
[[[1, 7], [2, 10], [4, 1], [7, 1]], 3467/1321205760],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 215681/13872660480],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 67423/5662310400],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 646663/4246732800],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 1423687/14863564800],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 4419097/44590694400],
[[[1, 7], [2, 10], [4, 2], [12, 1]], 6151/5573836800],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 9079967/47563407360],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 1/2457600],
[[[1, 7], [2, 10], [5, 1], [8, 1]], 11/28311552],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 10579/928972800],
[[[1, 7], [2, 10], [6, 1], [7, 1]], 37/58982400],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 35173/3468165120],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 10201/990904320],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 3707/92897280],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 4979/1061683200],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 24355619/4280706662400],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 7129/396361728000],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 145711/9555148800],
[[[1, 7], [2, 12], [3, 1], [8, 1]], 1847/23781703680],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 3989/2229534720],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 4901/17836277760],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 216581/133772083200],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 11383/49545216000],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 5555477/133772083200],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 10011599/2853804441600],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 119633/7431782400],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 7179371/142690222080],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 19/589824000],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 17951/9909043200],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 479419/35672555520],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 338059/951268147200],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 7697831/8561413324800],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 17507053/2853804441600],
[[[1, 7], [3, 1], [4, 2], [5, 3]], 1/288000],
[[[1, 7], [3, 1], [4, 2], [7, 2]], 1/301056],
[[[1, 7], [3, 1], [4, 4], [5, 2]], 1/3686400],
[[[1, 7], [3, 1], [4, 4], [8, 2]], 19/8847360],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 1/47040],
[[[1, 7], [3, 2], [4, 4], [7, 1]], 1/2064384],
[[[1, 7], [3, 2], [5, 2], [7, 1]], 1/25200],
[[[1, 7], [3, 3], [4, 2], [5, 2]], 1/276480],
[[[1, 7], [3, 3], [4, 4], [5, 1]], 1/4423680],
[[[1, 7], [4, 1], [8, 2], [16, 1]], 1/983040],
[[[1, 7], [4, 2], [5, 2], [7, 1]], 1/134400],
[[[1, 7], [4, 4], [5, 1], [7, 1]], 1/1720320],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 359/5760000],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 5/451584],
[[[1, 8], [2, 1], [3, 3], [4, 5]], 1/3538944],
[[[1, 8], [2, 1], [3, 4], [4, 4]], 1/7077888],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 49/2073600],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 7/1152000],
[[[1, 8], [2, 1], [4, 2], [7, 2]], 1/1146880],
[[[1, 8], [2, 1], [4, 2], [8, 3]], 7/7864320],
[[[1, 8], [2, 1], [4, 4], [5, 2]], 7/14745600],
[[[1, 8], [2, 1], [4, 4], [8, 2]], 2741/990904320],
[[[1, 8], [2, 1], [4, 5], [7, 1]], 1/5505024],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 1/179200],
[[[1, 8], [2, 1], [5, 3], [8, 1]], 1/288000],
[[[1, 8], [2, 1], [7, 2], [8, 1]], 1/6021120],
[[[1, 8], [2, 3], [3, 1], [4, 6]], 541/283115520],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 71/576000],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 331/18063360],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 197/14155776],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 31/2654208],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 10043/82944000],
[[[1, 8], [2, 3], [3, 3], [8, 2]], 1/552960],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 13/1990656],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 5/290304],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 5/3981312],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 1/62208],
[[[1, 8], [2, 3], [3, 5], [8, 1]], 5/995328],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 7/54000],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 211/10321920],
[[[1, 8], [2, 3], [4, 1], [8, 3]], 97/27525120],
[[[1, 8], [2, 3], [4, 1], [14, 2]], 1/14450688],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 211/5529600],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 7523/110100480],
[[[1, 8], [2, 3], [4, 3], [16, 1]], 47/5898240],
[[[1, 8], [2, 3], [4, 4], [7, 1]], 97/6881280],
[[[1, 8], [2, 3], [4, 4], [14, 1]], 1423/1734082560],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 1/122880],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 14243/566231040],
[[[1, 8], [2, 3], [4, 5], [10, 1]], 1/3932160],
[[[1, 8], [2, 3], [4, 5], [12, 1]], 1/294912],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 7/115200],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 7/432000],
[[[1, 8], [2, 3], [6, 1], [7, 2]], 1/430080],
[[[1, 8], [2, 3], [7, 1], [8, 2]], 29/144506880],
[[[1, 8], [2, 3], [8, 2], [14, 1]], 29/72253440],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 180601/1698693120],
[[[1, 8], [2, 5], [3, 1], [6, 5]], 1/1990656],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 6499/56623104],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 48541/442368000],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 29/3981312],
[[[1, 8], [2, 5], [3, 2], [8, 2]], 1/163840],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 7879/106168320],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 13/124416],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 53/1658880],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 5567/127401984],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 3889/99532800],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 19/147456],
[[[1, 8], [2, 5], [3, 4], [8, 1]], 31/1966080],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 325/23887872],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 125/5971968],
[[[1, 8], [2, 5], [4, 1], [6, 5]], 1/23887872],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 5753/29491200],
[[[1, 8], [2, 5], [4, 2], [6, 4]], 11/21233664],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 350213/1981808640],
[[[1, 8], [2, 5], [4, 2], [10, 2]], 131/44236800],
[[[1, 8], [2, 5], [4, 2], [16, 1]], 2251/123863040],
[[[1, 8], [2, 5], [4, 3], [6, 3]], 37/15925248],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 1619/14155776],
[[[1, 8], [2, 5], [4, 3], [14, 1]], 9967/495452160],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 29843/235929600],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 39637/5945425920],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 1336267/3397386240],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 52739/3715891200],
[[[1, 8], [2, 5], [4, 4], [12, 1]], 7/196608],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 5995/339738624],
[[[1, 8], [2, 5], [5, 1], [8, 2]], 1/204800],
[[[1, 8], [2, 5], [5, 1], [10, 2]], 37/1512000],
[[[1, 8], [2, 5], [5, 2], [6, 2]], 7/2073600],
[[[1, 8], [2, 5], [5, 2], [8, 1]], 607/22118400],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 7/153600],
[[[1, 8], [2, 5], [6, 2], [8, 2]], 71/82575360],
[[[1, 8], [2, 5], [6, 2], [10, 2]], 121/530841600],
[[[1, 8], [2, 5], [6, 3], [14, 1]], 1/9289728],
[[[1, 8], [2, 5], [6, 4], [8, 1]], 1/31850496],
[[[1, 8], [2, 5], [6, 4], [10, 1]], 1/19906560],
[[[1, 8], [2, 5], [7, 1], [14, 1]], 377/10321920],
[[[1, 8], [2, 5], [8, 1], [10, 2]], 1/2457600],
[[[1, 8], [2, 5], [8, 2], [10, 1]], 1801/619315200],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 224333/796262400],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 19/737280],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 185/15925248],
[[[1, 8], [2, 7], [3, 1], [8, 2]], 6233/1061683200],
[[[1, 8], [2, 7], [3, 1], [10, 2]], 53/11059200],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 6049/35389440],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 10187/79626240],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 313/20643840],
[[[1, 8], [2, 7], [3, 2], [14, 1]], 11/5160960],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 2869/39813120],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 9257/398131200],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 1225/5971968],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 311/26542080],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 2317/106168320],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 7877/238878720],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 1297/26542080],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 959/191102976],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 15937/396361728],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 1679/132710400],
[[[1, 8], [2, 7], [4, 1], [16, 1]], 61753/17340825600],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 7057/318504960],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 3153901/41617981440],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 281423/5945425920],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 5933/26542080],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 2569/35389440],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 569362279/832359628800],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 8357/66355200],
[[[1, 8], [2, 7], [4, 3], [12, 1]], 173/6635520],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 20917439/118908518400],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 169/15482880],
[[[1, 8], [2, 7], [5, 1], [14, 1]], 1/806400],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 101/6635520],
[[[1, 8], [2, 7], [6, 1], [8, 2]], 403/91750400],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 2521/530841600],
[[[1, 8], [2, 7], [6, 2], [7, 1]], 17/7741440],
[[[1, 8], [2, 7], [6, 2], [14, 1]], 1189/297271296],
[[[1, 8], [2, 7], [6, 3], [8, 1]], 13/3981312],
[[[1, 8], [2, 7], [6, 3], [10, 1]], 2741/637009920],
[[[1, 8], [2, 7], [7, 1], [8, 1]], 139/30965760],
[[[1, 8], [2, 7], [7, 1], [10, 1]], 1/1075200],
[[[1, 8], [2, 7], [8, 1], [14, 1]], 5/2064384],
[[[1, 8], [2, 7], [10, 1], [14, 1]], 817/247726080],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 2533979/16986931200],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 55141/1274019840],
[[[1, 8], [2, 9], [3, 1], [7, 1]], 6641/2972712960],
[[[1, 8], [2, 9], [3, 1], [14, 1]], 157/46448640],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 79553/1698693120],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 1567/353894400],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 118957/1061683200],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 151/56623104],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 1/491520],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 24733/2548039680],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 148163/7644119040],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 32443/955514880],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 110357/11890851840],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 128677/8323596288],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 14263/264241152],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 1332209/11890851840],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 617963369/3329438515200],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 17715401/178362777600],
[[[1, 8], [2, 9], [4, 2], [12, 1]], 61753/26011238400],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 54292787/237817036800],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 1/614400],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 71/35389440],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 102061/4335206400],
[[[1, 8], [2, 9], [6, 1], [7, 1]], 1/442368],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 19483/2972712960],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 133/17694720],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 5009/265420800],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 5423/1238630400],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 7760297/356725555200],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 27101/84934656000],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 1159027/44590694400],
[[[1, 8], [2, 11], [3, 1], [8, 1]], 9629/23781703680],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 35573/11147673600],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 2935/1189085184],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 316807/44590694400],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 115103/49545216000],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 11531147/267544166400],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 2056601/190253629440],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 188281/8918138880],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 596791/7549747200],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 6067/12386304000],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 24587/8918138880],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 1836059/142690222080],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 1671041/1223059046400],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 7053139/2853804441600],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 95899627/8561413324800],
[[[1, 9], [2, 2], [3, 1], [4, 6]], 71/283115520],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 139/1920000],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 19/2580480],
[[[1, 9], [2, 2], [3, 2], [4, 5]], 7/11796480],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 3/655360],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 1429/16588800],
[[[1, 9], [2, 2], [3, 3], [8, 2]], 1/6635520],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 49/10616832],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 5/387072],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 5/3981312],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 7/497664],
[[[1, 9], [2, 2], [3, 5], [8, 1]], 5/1990656],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 19/384000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 107/24084480],
[[[1, 9], [2, 2], [4, 1], [8, 3]], 29/82575360],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 77/7372800],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 303/73400320],
[[[1, 9], [2, 2], [4, 3], [16, 1]], 29/82575360],
[[[1, 9], [2, 2], [4, 4], [7, 1]], 1/516096],
[[[1, 9], [2, 2], [4, 4], [14, 1]], 107/1734082560],
[[[1, 9], [2, 2], [4, 5], [5, 1]], 1/2359296],
[[[1, 9], [2, 2], [4, 5], [8, 1]], 7271/7927234560],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 187/8064000],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/432000],
[[[1, 9], [2, 2], [6, 1], [7, 2]], 1/9031680],
[[[1, 9], [2, 2], [7, 1], [8, 2]], 1/144506880],
[[[1, 9], [2, 2], [8, 2], [14, 1]], 1/72253440],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 11179/566231040],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 99379/1698693120],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 64501/442368000],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 1/1327104],
[[[1, 9], [2, 4], [3, 2], [8, 2]], 439/247726080],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 175/2654208],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 1/82944],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 883/23224320],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 31781/637009920],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 5777/99532800],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 637/11943936],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 463/31850496],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 455/23887872],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 125/5971968],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 68309/442368000],
[[[1, 9], [2, 4], [4, 2], [6, 4]], 1/191102976],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 5099/132120576],
[[[1, 9], [2, 4], [4, 2], [10, 2]], 1/14745600],
[[[1, 9], [2, 4], [4, 2], [16, 1]], 71/17694720],
[[[1, 9], [2, 4], [4, 3], [6, 3]], 1/7962624],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 155891/3468165120],
[[[1, 9], [2, 4], [4, 3], [14, 1]], 2179/1156055040],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 53309/1415577600],
[[[1, 9], [2, 4], [4, 4], [6, 2]], 649/990904320],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 1411631/23781703680],
[[[1, 9], [2, 4], [4, 4], [10, 1]], 17761/14863564800],
[[[1, 9], [2, 4], [4, 4], [12, 1]], 47/8847360],
[[[1, 9], [2, 4], [4, 5], [6, 1]], 607/424673280],
[[[1, 9], [2, 4], [5, 1], [8, 2]], 107/123863040],
[[[1, 9], [2, 4], [5, 1], [10, 2]], 109/48384000],
[[[1, 9], [2, 4], [5, 2], [6, 2]], 1/2073600],
[[[1, 9], [2, 4], [5, 2], [8, 1]], 1627/110592000],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 1/230400],
[[[1, 9], [2, 4], [6, 2], [8, 2]], 1/12386304],
[[[1, 9], [2, 4], [6, 2], [10, 2]], 1/530841600],
[[[1, 9], [2, 4], [7, 1], [14, 1]], 89/10321920],
[[[1, 9], [2, 4], [8, 2], [10, 1]], 11/38707200],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 175387/849346560],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 8711/147456000],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 11/5971968],
[[[1, 9], [2, 6], [3, 1], [8, 2]], 241/70778880],
[[[1, 9], [2, 6], [3, 1], [10, 2]], 1/3686400],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 14747/70778880],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 317/8847360],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 257/9175040],
[[[1, 9], [2, 6], [3, 2], [14, 1]], 1/1720320],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 30769/238878720],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 91729/1592524800],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 683/4423680],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 743/39813120],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 23123/477757440],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 4087/79626240],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 29023/331776000],
[[[1, 9], [2, 6], [4, 1], [6, 4]], 55/127401984],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 36667/1981808640],
[[[1, 9], [2, 6], [4, 1], [10, 2]], 107/88473600],
[[[1, 9], [2, 6], [4, 1], [16, 1]], 6151/3715891200],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 161/47775744],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 2723621/41617981440],
[[[1, 9], [2, 6], [4, 2], [14, 1]], 23701/1981808640],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 117049/619315200],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 6001/424673280],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 223558411/713451110400],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 349/15482880],
[[[1, 9], [2, 6], [4, 3], [12, 1]], 2251/185794560],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 5938981/118908518400],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 10511/619315200],
[[[1, 9], [2, 6], [5, 1], [14, 1]], 1/3225600],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 607/33177600],
[[[1, 9], [2, 6], [6, 1], [8, 2]], 1033/825753600],
[[[1, 9], [2, 6], [6, 1], [10, 2]], 1/3317760],
[[[1, 9], [2, 6], [6, 2], [7, 1]], 17/23224320],
[[[1, 9], [2, 6], [6, 2], [14, 1]], 7/21233664],
[[[1, 9], [2, 6], [6, 3], [8, 1]], 1/5308416],
[[[1, 9], [2, 6], [6, 3], [10, 1]], 73/318504960],
[[[1, 9], [2, 6], [7, 1], [8, 1]], 6913/1734082560],
[[[1, 9], [2, 6], [8, 1], [14, 1]], 17/33030144],
[[[1, 9], [2, 6], [10, 1], [14, 1]], 11/30965760],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 54292787/237817036800],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 148163/7644119040],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 19483/2972712960],
[[[1, 9], [2, 8], [3, 1], [14, 1]], 1/442368],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 1332209/11890851840],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 5009/265420800],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 118957/1061683200],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 133/17694720],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 1/614400],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 32443/955514880],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 55141/1274019840],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 24733/2548039680],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 128677/8323596288],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 110357/11890851840],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 17715401/178362777600],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 79553/1698693120],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 617963369/3329438515200],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 14263/264241152],
[[[1, 9], [2, 8], [4, 2], [12, 1]], 61753/26011238400],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 2533979/16986931200],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 1/491520],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 5423/1238630400],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 102061/4335206400],
[[[1, 9], [2, 8], [6, 1], [7, 1]], 157/46448640],
[[[1, 9], [2, 8], [6, 1], [14, 1]], 6641/2972712960],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 151/56623104],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 1567/353894400],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 71/35389440],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 2168207/39636172800],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 1517/679477248],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 5178407/178362777600],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 32953/23781703680],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 139/41287680],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 134759/11890851840],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 20407/1061683200],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 139753/14863564800],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 450547/15854469120],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 42626179/2219625676800],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 1300219/71345111040],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 356488687/4280706662400],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 5987/3096576000],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 4069/1585446912],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 1735273/237817036800],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 11156821/2853804441600],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 8611909/1712282664960],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 41129161/2853804441600],
[[[1, 9], [3, 1], [4, 4], [7, 1]], 1/20643840],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 7/576000],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 91/36864000],
[[[1, 9], [3, 2], [4, 4], [5, 1]], 1/7372800],
[[[1, 9], [3, 3], [4, 2], [7, 1]], 1/774144],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 1/96768],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 1/829440],
[[[1, 9], [4, 2], [8, 1], [16, 1]], 11/82575360],
[[[1, 9], [4, 2], [8, 2], [12, 1]], 1/30965760],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 83/4480000],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 23/18063360],
[[[1, 10], [2, 1], [3, 2], [4, 5]], 1/15728640],
[[[1, 10], [2, 1], [3, 3], [4, 4]], 1/8847360],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 2351/82944000],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 13/10616832],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 1/193536],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 5/7962624],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 1/155520],
[[[1, 10], [2, 1], [3, 5], [8, 1]], 1/1990656],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 7/1152000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 1/4816896],
[[[1, 10], [2, 1], [4, 1], [8, 3]], 1/82575360],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 1/819200],
[[[1, 10], [2, 1], [4, 3], [8, 2]], 13/132120576],
[[[1, 10], [2, 1], [4, 3], [16, 1]], 1/82575360],
[[[1, 10], [2, 1], [4, 4], [7, 1]], 29/2312110080],
[[[1, 10], [2, 1], [4, 5], [5, 1]], 1/23592960],
[[[1, 10], [2, 1], [4, 5], [8, 1]], 439/7927234560],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 197/56448000],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 1439/566231040],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 23/2359296],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 155417/1548288000],
[[[1, 10], [2, 3], [3, 2], [8, 2]], 41/206438400],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 8381/318504960],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 43/1658880],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 3769/127401984],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 4819/99532800],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 29/3981312],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 1109/159252480],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 361/23887872],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 73/5971968],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 152983/3096576000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 41801/13212057600],
[[[1, 10], [2, 3], [4, 2], [16, 1]], 31/82575360],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 3487/495452160],
[[[1, 10], [2, 3], [4, 3], [14, 1]], 121/1156055040],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 191/33030144],
[[[1, 10], [2, 3], [4, 4], [6, 2]], 107/8918138880],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 4939/1585446912],
[[[1, 10], [2, 3], [4, 4], [10, 1]], 107/2477260800],
[[[1, 10], [2, 3], [4, 4], [12, 1]], 29/123863040],
[[[1, 10], [2, 3], [4, 5], [6, 1]], 53/424673280],
[[[1, 10], [2, 3], [5, 1], [8, 2]], 1/19353600],
[[[1, 10], [2, 3], [5, 1], [10, 2]], 1/16128000],
[[[1, 10], [2, 3], [5, 2], [8, 1]], 23/6193152],
[[[1, 10], [2, 3], [6, 2], [8, 2]], 1/371589120],
[[[1, 10], [2, 3], [7, 1], [14, 1]], 11/13762560],
[[[1, 10], [2, 3], [8, 2], [10, 1]], 1/103219200],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 22279/330301440],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 79333/1161216000],
[[[1, 10], [2, 5], [3, 1], [6, 4]], 1/15925248],
[[[1, 10], [2, 5], [3, 1], [8, 2]], 1319/1486356480],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 134423/990904320],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 157/31850496],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 8401/289013760],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 763/5898240],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 47993/619315200],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 863/15925248],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 8719/557383680],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 14581/238878720],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 2245/47775744],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 91061/1161216000],
[[[1, 10], [2, 5], [4, 1], [6, 4]], 1/382205952],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 15773/3963617280],
[[[1, 10], [2, 5], [4, 1], [10, 2]], 1/29491200],
[[[1, 10], [2, 5], [4, 1], [16, 1]], 89/247726080],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 19/127401984],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 122711/3468165120],
[[[1, 10], [2, 5], [4, 2], [14, 1]], 1697/1321205760],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 674063/7431782400],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 6031/4459069440],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 2756729/47563407360],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 943/495452160],
[[[1, 10], [2, 5], [4, 3], [12, 1]], 71/26542080],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 445783/71345111040],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 3767/270950400],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 1627/165888000],
[[[1, 10], [2, 5], [6, 1], [8, 2]], 89/743178240],
[[[1, 10], [2, 5], [6, 1], [10, 2]], 1/176947200],
[[[1, 10], [2, 5], [6, 2], [7, 1]], 29/325140480],
[[[1, 10], [2, 5], [6, 2], [14, 1]], 1/297271296],
[[[1, 10], [2, 5], [6, 3], [10, 1]], 1/637009920],
[[[1, 10], [2, 5], [7, 1], [8, 1]], 1051/578027520],
[[[1, 10], [2, 5], [8, 1], [14, 1]], 1/33030144],
[[[1, 10], [2, 5], [10, 1], [14, 1]], 1/82575360],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 9079967/47563407360],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 72917/17836277760],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 35173/3468165120],
[[[1, 10], [2, 7], [3, 1], [14, 1]], 37/58982400],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 646663/4246732800],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 3707/92897280],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 2058883/35672555520],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 10201/990904320],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 1/2457600],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 347717/5350883328],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 1423259/26754416640],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 967/764411904],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 215681/13872660480],
[[[1, 10], [2, 7], [4, 1], [14, 1]], 3467/1321205760],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 4419097/44590694400],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 464341/47563407360],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 1423687/14863564800],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 67423/5662310400],
[[[1, 10], [2, 7], [4, 2], [12, 1]], 6151/5573836800],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 18190871/356725555200],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 17/16588800],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 4979/1061683200],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 10579/928972800],
[[[1, 10], [2, 7], [6, 1], [7, 1]], 6913/2601123840],
[[[1, 10], [2, 7], [6, 1], [14, 1]], 191/594542592],
[[[1, 10], [2, 7], [6, 2], [8, 1]], 1/3145728],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 83/212336640],
[[[1, 10], [2, 7], [8, 1], [10, 1]], 11/28311552],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 356488687/4280706662400],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 1735273/237817036800],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 20407/1061683200],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 4069/1585446912],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 5987/3096576000],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 450547/15854469120],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 5178407/178362777600],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 1300219/71345111040],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 134759/11890851840],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 42626179/2219625676800],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 139753/14863564800],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 2168207/39636172800],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 139/41287680],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 32953/23781703680],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 1517/679477248],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 1640231/190253629440],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 743682889/99883155456000],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 16312081/1223059046400],
[[[1, 11], [2, 2], [3, 1], [4, 5]], 89/1321205760],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 1397/1321205760],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 55417/1548288000],
[[[1, 11], [2, 2], [3, 2], [8, 2]], 11/1238630400],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 35/10616832],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 19/1935360],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 4859/637009920],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 89/3981312],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 1/1327104],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 247/159252480],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 17/2654208],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 23/5971968],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 17461/3096576000],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 143/1887436800],
[[[1, 11], [2, 2], [4, 2], [16, 1]], 1/82575360],
[[[1, 11], [2, 2], [4, 3], [7, 1]], 1/3440640],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 5419/9909043200],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 73/566231040],
[[[1, 11], [2, 2], [4, 4], [12, 1]], 1/123863040],
[[[1, 11], [2, 2], [5, 1], [8, 2]], 1/619315200],
[[[1, 11], [2, 2], [5, 2], [8, 1]], 317/774144000],
[[[1, 11], [2, 2], [7, 1], [14, 1]], 1/41287680],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 71303/5945425920],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 79819/1857945600],
[[[1, 11], [2, 4], [3, 1], [8, 2]], 251/2477260800],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 36641/825753600],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 11/53084160],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 10223/578027520],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 52499/743178240],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 74687/1238630400],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 419/47775744],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 311/43545600],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 42941/955514880],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 6089/238878720],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 165451/4644864000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 5303/19818086400],
[[[1, 11], [2, 4], [4, 1], [16, 1]], 11/330301440],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 11941/1156055040],
[[[1, 11], [2, 4], [4, 2], [14, 1]], 73/1321205760],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 41557/1857945600],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 503/17836277760],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 389113/79272345600],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 121/1651507200],
[[[1, 11], [2, 4], [4, 3], [12, 1]], 31/123863040],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 559/1132462080],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 9013/1445068800],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 23/9289728],
[[[1, 11], [2, 4], [6, 1], [8, 2]], 1/247726080],
[[[1, 11], [2, 4], [6, 2], [7, 1]], 1/325140480],
[[[1, 11], [2, 4], [7, 1], [8, 1]], 187/433520640],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 4788551/50960793600],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 47/132120576],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 95089/10404495360],
[[[1, 11], [2, 6], [3, 1], [14, 1]], 19/412876800],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 44551741/356725555200],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 530849/11147673600],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 38879/2378170368],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 173147/22295347200],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 4905043/66886041600],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 1060091/26754416640],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 7/169869312],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 61547/5945425920],
[[[1, 11], [2, 6], [4, 1], [14, 1]], 2719/9248440320],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 2212501/35672555520],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 13535/14269022208],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 11434691/475634073600],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 97/88473600],
[[[1, 11], [2, 6], [4, 2], [12, 1]], 89/371589120],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 1345741/142690222080],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 13/55738368],
[[[1, 11], [2, 6], [5, 1], [8, 1]], 3989/1486356480],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 89/34406400],
[[[1, 11], [2, 6], [6, 1], [7, 1]], 1051/867041280],
[[[1, 11], [2, 6], [6, 1], [14, 1]], 1/66060288],
[[[1, 11], [2, 6], [6, 2], [8, 1]], 1/169869312],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 1/106168320],
[[[1, 11], [2, 6], [8, 1], [10, 1]], 1/47185920],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 596791/7549747200],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 1836059/142690222080],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 316807/44590694400],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 24587/8918138880],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 6067/12386304000],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 11531147/267544166400],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 1159027/44590694400],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 188281/8918138880],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 2935/1189085184],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 2056601/190253629440],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 115103/49545216000],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 7760297/356725555200],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 35573/11147673600],
[[[1, 11], [2, 8], [6, 1], [8, 1]], 9629/23781703680],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 27101/84934656000],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 16312081/1223059046400],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 743682889/99883155456000],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 1640231/190253629440],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 29/86016000],
[[[1, 11], [3, 1], [4, 4], [5, 1]], 19/1651507200],
[[[1, 11], [3, 2], [4, 2], [7, 1]], 1/6881280],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 13/6451200],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 13/26542080],
[[[1, 11], [4, 2], [5, 1], [7, 1]], 1/40140800],
[[[1, 12], [2, 1], [3, 1], [4, 5]], 1/264241152],
[[[1, 12], [2, 1], [3, 2], [4, 4]], 41/3303014400],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 188789/30965760000],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 29/106168320],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 1/552960],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 247/637009920],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 511/99532800],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 17/159252480],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 1/884736],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 1/1990656],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 317/3096576000],
[[[1, 12], [2, 1], [4, 3], [7, 1]], 1/96337920],
[[[1, 12], [2, 1], [4, 4], [5, 1]], 1/309657600],
[[[1, 12], [2, 1], [5, 2], [8, 1]], 11/774144000],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 18631/16986931200],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 17347/1161216000],
[[[1, 12], [2, 3], [3, 1], [8, 2]], 13/2477260800],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 187247/29727129600],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 499/80281600],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 52121/2786918400],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 379691/13934592000],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 37/53084160],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 4733/2786918400],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 17779/955514880],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 1867/238878720],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 37609/4644864000],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 17/2831155200],
[[[1, 12], [2, 3], [4, 1], [16, 1]], 1/990904320],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 175601/138726604800],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 36439/14863564800],
[[[1, 12], [2, 3], [4, 3], [6, 2]], 1/4459069440],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 41243/237817036800],
[[[1, 12], [2, 3], [4, 3], [12, 1]], 1/123863040],
[[[1, 12], [2, 3], [4, 4], [6, 1]], 1/169869312],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 829/541900800],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 317/1161216000],
[[[1, 12], [2, 3], [7, 1], [8, 1]], 37/722534400],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 693383/23781703680],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 131/17836277760],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 86249/17340825600],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 2739853/44590694400],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 1890059/55738368000],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 11/4147200],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 149309/44590694400],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 6667613/133772083200],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 2502061/133772083200],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 287461/69363302400],
[[[1, 12], [2, 5], [4, 1], [14, 1]], 101/9248440320],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 232199/9909043200],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 64483/2140353331200],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 24739/7927234560],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 73/1887436800],
[[[1, 12], [2, 5], [4, 2], [12, 1]], 11/495452160],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 743593/713451110400],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 1/43545600],
[[[1, 12], [2, 5], [5, 1], [8, 1]], 1091/1238630400],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 11/45875200],
[[[1, 12], [2, 5], [6, 1], [7, 1]], 187/650280960],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 7179371/142690222080],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 479419/35672555520],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 216581/133772083200],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 17951/9909043200],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 19/589824000],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 5555477/133772083200],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 145711/9555148800],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 119633/7431782400],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 4901/17836277760],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 10011599/2853804441600],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 11383/49545216000],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 24355619/4280706662400],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 3989/2229534720],
[[[1, 12], [2, 7], [6, 1], [8, 1]], 1847/23781703680],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 7129/396361728000],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 41129161/2853804441600],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 8611909/1712282664960],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 11156821/2853804441600],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 509/7927234560],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 36863/13271040000],
[[[1, 13], [2, 2], [3, 1], [8, 2]], 1/7431782400],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 481/1238630400],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 6787/5780275200],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 39811/22295347200],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 30419/4459069440],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 1/53084160],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 257/1393459200],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 269/70778880],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 71/59719680],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 2587/3096576000],
[[[1, 13], [2, 2], [4, 1], [8, 2]], 1/19818086400],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 17/314572800],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 221/2477260800],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 23/26424115200],
[[[1, 13], [2, 2], [4, 4], [6, 1]], 1/5945425920],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 8473/43352064000],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 11/1161216000],
[[[1, 13], [2, 2], [7, 1], [8, 1]], 1/353894400],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 1134269/237817036800],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 28283/17340825600],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 12046697/713451110400],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 406787/27869184000],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 5311/22295347200],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 71/87091200],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 668809/33443020800],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 208031/38220595200],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 383477/416179814400],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 2830799/594542592000],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 1/1274019840],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 3413/15854469120],
[[[1, 13], [2, 4], [4, 2], [12, 1]], 1/1486356480],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 2969/50960793600],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 1/1393459200],
[[[1, 13], [2, 4], [5, 1], [8, 1]], 3029/18579456000],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 1/137625600],
[[[1, 13], [2, 4], [6, 1], [7, 1]], 37/1083801600],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 1337101/61152952320],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 7762087/891813888000],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 14381/59454259200],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 129667/178362777600],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 1368109/53508833280],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 829699/133772083200],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 439541/55738368000],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 5303/305764761600],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 171959/237817036800],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 101/13212057600],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 18629/19025362944],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 1091/1857945600],
[[[1, 13], [2, 6], [6, 1], [8, 1]], 493/44590694400],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 101/396361728000],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 95899627/8561413324800],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 7053139/2853804441600],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 1671041/1223059046400],
[[[1, 13], [3, 1], [4, 2], [7, 1]], 1/361267200],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 317/7225344000],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 131/3096576000],
[[[1, 14], [2, 1], [3, 1], [4, 4]], 13/39636172800],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 1433/5806080000],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 11/619315200],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 59/578027520],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 257/5573836800],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 6689/7962624000],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 1/139345920],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 11/42467328],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 1/15925248],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 29/1032192000],
[[[1, 14], [2, 1], [4, 2], [7, 1]], 1/1415577600],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 1/353894400],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 1/79272345600],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 1/86016000],
[[[1, 14], [2, 1], [7, 1], [8, 1]], 1/17340825600],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 256927/713451110400],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 6487/20808990720],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 113309/50960793600],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 207463/55738368000],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 557/59454259200],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 9497/89181388800],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 169363/38220595200],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 9283/10701766656],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 911/8493465600],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 34103/74317824000],
[[[1, 14], [2, 3], [4, 2], [6, 2]], 19/1248539443200],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 7/905969664],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 221/118908518400],
[[[1, 14], [2, 3], [5, 1], [8, 1]], 3/183500800],
[[[1, 14], [2, 3], [6, 1], [7, 1]], 1/530841600],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 8412097/1426902220800],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 12617419/3567255552000],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 347/14863564800],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 10579/59454259200],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 21016651/2140353331200],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 179443/107017666560],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 1397603/594542592000],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 1/1114767360],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 175391/1664719257600],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 171497/1664719257600],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 3029/27869184000],
[[[1, 14], [2, 5], [6, 1], [8, 1]], 1/990904320],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 17507053/2853804441600],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 7697831/8561413324800],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 338059/951268147200],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 1331/118908518400],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 23/707788800],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 3391/28538044416],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 59191/111476736000],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 1/8493465600],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 217/31850496000],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 281/594542592],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 17687/267544166400],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 823/138726604800],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 3401/198180864000],
[[[1, 15], [2, 2], [4, 2], [6, 2]], 1/3745618329600],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 23/184968806400],
[[[1, 15], [2, 2], [4, 3], [6, 1]], 19/1664719257600],
[[[1, 15], [2, 2], [5, 1], [8, 1]], 421/520224768000],
[[[1, 15], [2, 2], [6, 1], [7, 1]], 1/26011238400],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 1261031/1426902220800],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 91453/101921587200],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 79/66886041600],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 64247/2497078886400],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 3001787/1337720832000],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 36359/133772083200],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 1284833/3121348608000],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 19/624269721600],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 28337/2853804441600],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 13477/2140353331200],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 1/91750400],
[[[1, 15], [2, 4], [6, 1], [8, 1]], 19/416179814400],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 26773739/11985978654720],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 30779/135895449600],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 3615323/59929893273600],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 113/148635648000],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 1/3397386240],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 289/173408256000],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 217/127401984000],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 20977/557383680000],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 73/445906944000],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 79/4246732800],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 53/29727129600],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 17/138726604800],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 421/2080899072000],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 1/3329438515200],
[[[1, 16], [2, 1], [4, 3], [6, 1]], 1/4994157772800],
[[[1, 16], [2, 1], [5, 1], [8, 1]], 1/65028096000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 104051/1560674304000],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 1726271/12485394432000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 1/44590694400],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 26377/12485394432000],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 95791/334430208000],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 16367/668860416000],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 2563/63700992000],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 1/1872809164800],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 2479/4756340736000],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 557/2497078886400],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 421/780337152000],
[[[1, 16], [2, 3], [6, 1], [8, 1]], 1/1248539443200],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 154360919/299649466368000],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 436561/11985978654720],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 40631/6658877030400],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 6619/3121348608000],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 763967/62426972160000],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 1121/12485394432000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 1091/59454259200],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 23/20901888000],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 7/3538944000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 863/66588770304000],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 1/249707888640],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 1/97542144000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 10869899/149824733184000],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 53303/14982473318400],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 53237/149824733184000],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 1121/49941577728000],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 69827/124853944320000],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 19/12485394432000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 59/132120576000],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 17/891813888000],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 157/4161798144000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 1/9512681472000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 888067/149824733184000],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 60083/299649466368000],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 361/29964946636800],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 563/2219625676800],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 887/149824733184000],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 11/42807066624000],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 29/6658877030400],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/14269022208000],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/299649466368000],
[[[2, 1], [4, 2], [8, 2], [28, 1]], 1/1792],
[[[2, 1], [4, 2], [12, 1], [20, 2]], 1/600],
[[[2, 1], [4, 2], [20, 1], [28, 1]], 1/280],
[[[2, 1], [4, 4], [8, 2], [12, 2]], 1/9216],
[[[2, 1], [4, 4], [8, 2], [20, 1]], 1/7680],
[[[2, 1], [4, 4], [12, 1], [28, 1]], 1/1344],
[[[2, 1], [4, 4], [12, 2], [20, 1]], 1/960],
[[[2, 1], [4, 6], [8, 2], [12, 1]], 1/92160],
[[[2, 1], [4, 6], [12, 1], [20, 1]], 19/76800],
[[[2, 3], [4, 3], [8, 2], [16, 1]], 1/16384],
[[[2, 3], [4, 4], [8, 2], [14, 1]], 1/43008],
[[[2, 5], [4, 2], [6, 2], [10, 3]], 1/288000],
[[[2, 5], [4, 2], [10, 1], [14, 2]], 1/62720],
[[[2, 5], [4, 3], [6, 1], [8, 3]], 1/49152],
[[[2, 5], [4, 4], [6, 2], [8, 2]], 5/442368],
[[[2, 5], [4, 4], [6, 2], [10, 2]], 1/3686400],
[[[2, 5], [4, 4], [8, 1], [16, 1]], 1/196608],
[[[2, 5], [4, 4], [8, 2], [10, 1]], 1/184320],
[[[2, 5], [6, 1], [10, 3], [14, 1]], 1/21000],
[[[2, 7], [4, 1], [8, 2], [16, 1]], 1/983040],
[[[2, 7], [4, 2], [6, 1], [10, 3]], 1/288000],
[[[2, 7], [4, 2], [6, 1], [14, 2]], 1/301056],
[[[2, 7], [4, 2], [6, 3], [10, 2]], 1/276480],
[[[2, 7], [4, 2], [10, 2], [14, 1]], 1/134400],
[[[2, 7], [4, 4], [6, 1], [8, 2]], 19/8847360],
[[[2, 7], [4, 4], [6, 1], [10, 2]], 1/3686400],
[[[2, 7], [4, 4], [6, 2], [14, 1]], 1/2064384],
[[[2, 7], [4, 4], [6, 3], [10, 1]], 1/4423680],
[[[2, 7], [4, 4], [10, 1], [14, 1]], 1/1720320],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 1/47040],
[[[2, 7], [6, 2], [10, 2], [14, 1]], 1/25200],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 91/36864000],
[[[2, 9], [4, 2], [6, 3], [14, 1]], 1/774144],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 1/829440],
[[[2, 9], [4, 2], [8, 1], [16, 1]], 11/82575360],
[[[2, 9], [4, 2], [8, 2], [12, 1]], 1/30965760],
[[[2, 9], [4, 4], [6, 1], [14, 1]], 1/20643840],
[[[2, 9], [4, 4], [6, 2], [10, 1]], 1/7372800],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 7/576000],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 1/96768],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 29/86016000],
[[[2, 11], [4, 2], [6, 2], [14, 1]], 1/6881280],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 13/26542080],
[[[2, 11], [4, 2], [10, 1], [14, 1]], 1/40140800],
[[[2, 11], [4, 4], [6, 1], [10, 1]], 19/1651507200],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 13/6451200],
[[[2, 13], [4, 2], [6, 1], [14, 1]], 1/361267200],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 131/3096576000],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 317/7225344000],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 113/148635648000],
[[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 3/4096],
[[[1, 1], [2, 2], [4, 1], [16, 1], [28, 1]], 1/448],
[[[1, 1], [2, 2], [4, 3], [8, 1], [28, 1]], 5/1792],
[[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 5/16384],
[[[1, 1], [2, 2], [4, 3], [8, 2], [20, 1]], 1/2560],
[[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 1/2048],
[[[1, 1], [2, 2], [4, 3], [12, 1], [28, 1]], 1/672],
[[[1, 1], [2, 2], [4, 3], [12, 2], [16, 1]], 1/2304],
[[[1, 1], [2, 2], [4, 3], [12, 2], [20, 1]], 1/720],
[[[1, 1], [2, 2], [4, 3], [16, 1], [20, 1]], 1/1920],
[[[1, 1], [2, 2], [4, 4], [8, 2], [14, 1]], 1/43008],
[[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/1024],
[[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 23/983040],
[[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 7/7680],
[[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 2], [4, 5], [12, 1], [16, 1]], 1/23040],
[[[1, 1], [2, 2], [4, 5], [12, 1], [20, 1]], 19/11520],
[[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 7/61440],
[[[1, 1], [2, 4], [3, 1], [4, 3], [14, 2]], 1/150528],
[[[1, 1], [2, 4], [4, 1], [7, 1], [8, 3]], 1/28672],
[[[1, 1], [2, 4], [4, 1], [8, 3], [14, 1]], 1/14336],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 3]], 1/20480],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 3]], 1/288000],
[[[1, 1], [2, 4], [4, 2], [8, 1], [14, 2]], 1/100352],
[[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 1/3072],
[[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 2], [10, 1], [14, 2]], 1/62720],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 1/49152],
[[[1, 1], [2, 4], [4, 3], [8, 2], [14, 1]], 1/7168],
[[[1, 1], [2, 4], [4, 3], [14, 1], [16, 1]], 1/14336],
[[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 7/442368],
[[[1, 1], [2, 4], [4, 4], [6, 2], [10, 2]], 1/3686400],
[[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 7/196608],
[[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 1/46080],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 17/589824],
[[[1, 1], [2, 4], [4, 5], [8, 1], [14, 1]], 19/1376256],
[[[1, 1], [2, 4], [6, 1], [10, 3], [14, 1]], 1/21000],
[[[1, 1], [2, 4], [6, 2], [8, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 4], [8, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 1/98304],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 1/73728],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 13/288000],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 1/48000],
[[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 7/327680],
[[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/12544],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 1/24576],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/100352],
[[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 11/1382400],
[[[1, 1], [2, 6], [4, 2], [7, 1], [8, 2]], 1/172032],
[[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/33600],
[[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 1/245760],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 1/18432],
[[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 7/614400],
[[[1, 1], [2, 6], [4, 3], [6, 2], [16, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 3], [7, 1], [14, 1]], 1/172032],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 31/655360],
[[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 1/24576],
[[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 3], [10, 1], [16, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 239/8847360],
[[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 1/921600],
[[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 1/1032192],
[[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 1/2211840],
[[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 1/430080],
[[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 1/688128],
[[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 43/7077888],
[[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 1/1474560],
[[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 19/5898240],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/75264],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/10080],
[[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/69120],
[[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/432000],
[[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/9031680],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 1/3981312],
[[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 1/1179648],
[[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/2764800],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/3538944],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/43200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 1/737280],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/28800],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 5/301056],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 19/460800],
[[[1, 1], [2, 8], [4, 1], [7, 1], [16, 1]], 1/18063360],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 551/36864000],
[[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 1/193536],
[[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 1/2654208],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 7/1658880],
[[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 1/1843200],
[[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 61/16515072],
[[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 29/30965760],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 79/11796480],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/122880],
[[[1, 1], [2, 8], [4, 3], [6, 1], [16, 1]], 1/737280],
[[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/114688],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/884736],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 17/2211840],
[[[1, 1], [2, 8], [4, 3], [7, 1], [8, 1]], 107/433520640],
[[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/13762560],
[[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/122880],
[[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 11/20643840],
[[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 1/1228800],
[[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 79/70778880],
[[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/2359296],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 349/4032000],
[[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 91/9216000],
[[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 1/193536],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1/23040],
[[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/207360],
[[[1, 1], [2, 8], [7, 1], [8, 1], [14, 1]], 1/860160],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/2985984],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/1327104],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 1/19906560],
[[[1, 1], [2, 10], [3, 1], [4, 3], [14, 1]], 1/433520640],
[[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 1/35389440],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 49/6912000],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/387072],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 1/165888],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 823/36864000],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 1/110592],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 1/1327104],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 1/82944],
[[[1, 1], [2, 10], [4, 1], [7, 1], [14, 1]], 1/10321920],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 1/8064000],
[[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/47185920],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 509/129024000],
[[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 1/491520],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 1/13271040],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 299/66355200],
[[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 1/289013760],
[[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 113/180633600],
[[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/983040],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 1/7864320],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 49/14745600],
[[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/45875200],
[[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 1/24772608],
[[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 271/1651507200],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 29/21504000],
[[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 1/1720320],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 29/1290240],
[[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 13/6635520],
[[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/10035200],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 17/238878720],
[[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 11/1161216000],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 1/11796480],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 11/3715891200],
[[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1/1857945600],
[[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 1/3963617280],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/12096000],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1/15482880],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 13/11059200],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 137/51609600],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 23/20643840],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 1/10616832],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 581/132710400],
[[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 1/1651507200],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 59/361267200],
[[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 31/361267200],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 11/2477260800],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 343/442368000],
[[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 1/1238630400],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/412876800],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 1/3440640],
[[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 1/90316800],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 8917/7225344000],
[[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 131/774144000],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 1/209018880],
[[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/26011238400],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/619315200],
[[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 1/22295347200],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/2477260800],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 317/12386304000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 43/1926758400],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 53/19818086400],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 4757/12386304000],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 11/49545216000],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 1/14863564800],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 3937/148635648000],
[[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 113/37158912000],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 73/668860416000],
[[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/97542144000],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/118908518400],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 11/74317824000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 17/594542592000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 17/2378170368],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 19/18728091648000],
[[[1, 1], [4, 2], [8, 2], [12, 1], [20, 1]], 1/3840],
[[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 3/4096],
[[[1, 2], [2, 1], [4, 1], [16, 1], [28, 1]], 1/448],
[[[1, 2], [2, 1], [4, 3], [8, 1], [28, 1]], 5/1792],
[[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 5/16384],
[[[1, 2], [2, 1], [4, 3], [8, 2], [20, 1]], 1/2560],
[[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 1/2048],
[[[1, 2], [2, 1], [4, 3], [12, 1], [28, 1]], 1/672],
[[[1, 2], [2, 1], [4, 3], [12, 2], [16, 1]], 1/2304],
[[[1, 2], [2, 1], [4, 3], [12, 2], [20, 1]], 1/720],
[[[1, 2], [2, 1], [4, 3], [16, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 1], [4, 4], [7, 1], [8, 2]], 1/43008],
[[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/1024],
[[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 23/983040],
[[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 7/7680],
[[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 1], [4, 5], [12, 1], [16, 1]], 1/23040],
[[[1, 2], [2, 1], [4, 5], [12, 1], [20, 1]], 19/11520],
[[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 7/61440],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 1/24576],
[[[1, 2], [2, 3], [3, 1], [4, 3], [14, 2]], 1/150528],
[[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 1/3870720],
[[[1, 2], [2, 3], [3, 2], [4, 2], [14, 2]], 1/112896],
[[[1, 2], [2, 3], [3, 2], [5, 2], [8, 2]], 1/230400],
[[[1, 2], [2, 3], [4, 1], [7, 1], [8, 3]], 1/28672],
[[[1, 2], [2, 3], [4, 1], [8, 3], [14, 1]], 1/14336],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 3]], 1/20480],
[[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 1/25600],
[[[1, 2], [2, 3], [4, 2], [6, 2], [7, 2]], 1/112896],
[[[1, 2], [2, 3], [4, 2], [8, 1], [14, 2]], 1/100352],
[[[1, 2], [2, 3], [4, 2], [8, 1], [28, 1]], 1/896],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 1/25600],
[[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 37/12288],
[[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 1/1280],
[[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 2], [12, 1], [28, 1]], 1/1344],
[[[1, 2], [2, 3], [4, 2], [12, 2], [16, 1]], 1/2304],
[[[1, 2], [2, 3], [4, 2], [12, 2], [20, 1]], 1/2880],
[[[1, 2], [2, 3], [4, 2], [16, 1], [20, 1]], 1/640],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 1/24576],
[[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 1/57344],
[[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 9/57344],
[[[1, 2], [2, 3], [4, 3], [14, 1], [16, 1]], 1/14336],
[[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 3/81920],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 1/221184],
[[[1, 2], [2, 3], [4, 4], [7, 1], [14, 1]], 29/1204224],
[[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 5/3072],
[[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 31/49152],
[[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 29/7680],
[[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 13/245760],
[[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 9/4096],
[[[1, 2], [2, 3], [4, 4], [12, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 3], [4, 4], [12, 1], [20, 1]], 59/23040],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 17/589824],
[[[1, 2], [2, 3], [4, 5], [8, 1], [14, 1]], 19/1376256],
[[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 17/15360],
[[[1, 2], [2, 3], [6, 2], [8, 1], [10, 3]], 1/72000],
[[[1, 2], [2, 3], [6, 2], [8, 2], [10, 2]], 1/230400],
[[[1, 2], [2, 3], [7, 1], [8, 2], [14, 1]], 9/25088],
[[[1, 2], [2, 3], [8, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 5/98304],
[[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 1/25088],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 13/1179648],
[[[1, 2], [2, 5], [3, 1], [5, 2], [10, 2]], 1/18000],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 7/108000],
[[[1, 2], [2, 5], [3, 1], [10, 1], [14, 2]], 1/23520],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 3]], 1/147456],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 1/110592],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 3]], 1/40960],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 1/36864],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/19200],
[[[1, 2], [2, 5], [4, 1], [7, 2], [8, 1]], 1/301056],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 1/12000],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 5/100352],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 19/196608],
[[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 1/8960],
[[[1, 2], [2, 5], [4, 2], [6, 1], [7, 2]], 1/451584],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 1/8192],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 1/48000],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/100352],
[[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 7/1382400],
[[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 17/344064],
[[[1, 2], [2, 5], [4, 2], [7, 1], [16, 1]], 1/43008],
[[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 3/8192],
[[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 2], [2, 5], [4, 2], [14, 1], [16, 1]], 1/14336],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 13/245760],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 11/98304],
[[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 23/1843200],
[[[1, 2], [2, 5], [4, 3], [6, 2], [16, 1]], 1/36864],
[[[1, 2], [2, 5], [4, 3], [7, 1], [14, 1]], 1/24576],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 231/655360],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 71/245760],
[[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 7/73728],
[[[1, 2], [2, 5], [4, 3], [10, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 751/3538944],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 1/245760],
[[[1, 2], [2, 5], [4, 4], [6, 1], [16, 1]], 1/24576],
[[[1, 2], [2, 5], [4, 4], [6, 2], [7, 1]], 1/193536],
[[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/2064384],
[[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 1/4423680],
[[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 1/294912],
[[[1, 2], [2, 5], [4, 4], [7, 1], [10, 1]], 1/645120],
[[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 13/98304],
[[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 1/114688],
[[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 1/21504],
[[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 1/688128],
[[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 31/3538944],
[[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 1/1474560],
[[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 19/1474560],
[[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 49/2359296],
[[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 11/11796480],
[[[1, 2], [2, 5], [5, 1], [7, 1], [10, 2]], 1/8400],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/18000],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/25088],
[[[1, 2], [2, 5], [6, 1], [8, 2], [10, 2]], 1/230400],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 2], [2, 5], [6, 2], [7, 1], [8, 2]], 1/64512],
[[[1, 2], [2, 5], [6, 2], [8, 2], [14, 1]], 1/129024],
[[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 11/345600],
[[[1, 2], [2, 5], [6, 3], [8, 2], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [7, 1], [8, 2], [10, 1]], 1/53760],
[[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 5], [8, 2], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 7/432000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/430080],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/1327104],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 19/1179648],
[[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 7/2764800],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 35/3538944],
[[[1, 2], [2, 7], [3, 1], [4, 4], [14, 1]], 1/1032192],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 1/1179648],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 17/216000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 1/112896],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 47/518400],
[[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/50400],
[[[1, 2], [2, 7], [3, 2], [4, 2], [5, 2]], 1/33177600],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 41/1492992],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 5/1769472],
[[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 1/2073600],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 1/663552],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 11/7077888],
[[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 1/147456],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/57600],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 11/737280],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1/6400],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 17/301056],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 1/221184],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 29/276480],
[[[1, 2], [2, 7], [4, 1], [7, 1], [8, 2]], 1/688128],
[[[1, 2], [2, 7], [4, 1], [7, 1], [16, 1]], 29/18063360],
[[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 1/3440640],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 29/134400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 9/1638400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 55/589824],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 19/184320],
[[[1, 2], [2, 7], [4, 2], [6, 2], [16, 1]], 1/73728],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 1/129024],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 1/884736],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/184320],
[[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 53/1720320],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 79/1843200],
[[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 221/5898240],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 431/4915200],
[[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 17/2211840],
[[[1, 2], [2, 7], [4, 2], [10, 1], [16, 1]], 1/61440],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 421/3932160],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 17/460800],
[[[1, 2], [2, 7], [4, 3], [6, 1], [16, 1]], 11/737280],
[[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/43008],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1/147456],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/55296],
[[[1, 2], [2, 7], [4, 3], [7, 1], [8, 1]], 2053/433520640],
[[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 41/13762560],
[[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 3/71680],
[[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 1/491520],
[[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/245760],
[[[1, 2], [2, 7], [4, 4], [6, 1], [7, 1]], 17/15482880],
[[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 71/4128768],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 187/3538944],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 23/1474560],
[[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 1/110592],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 121/2949120],
[[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 5/294912],
[[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 719/70778880],
[[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 23/11796480],
[[[1, 2], [2, 7], [5, 1], [7, 1], [14, 1]], 1/537600],
[[[1, 2], [2, 7], [6, 1], [7, 1], [8, 2]], 1/645120],
[[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 1/1290240],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 11/57600],
[[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 551/9216000],
[[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 1/460800],
[[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 1/48384],
[[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 17/241920],
[[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 7/414720],
[[[1, 2], [2, 7], [7, 1], [8, 1], [14, 1]], 1/40960],
[[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 5/2985984],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 29/3981312],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 7/23592960],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 1/276480],
[[[1, 2], [2, 9], [3, 1], [4, 2], [16, 1]], 1/30965760],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 151/26542080],
[[[1, 2], [2, 9], [3, 1], [4, 3], [14, 1]], 29/433520640],
[[[1, 2], [2, 9], [3, 1], [4, 4], [5, 1]], 107/3715891200],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 47/26542080],
[[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 121/212336640],
[[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 1/4423680],
[[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 1/9437184],
[[[1, 2], [2, 9], [3, 1], [5, 1], [8, 2]], 1/154828800],
[[[1, 2], [2, 9], [3, 1], [5, 2], [10, 1]], 1/24192000],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 1/1105920],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 887/13824000],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 11/580608],
[[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/331776],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 43/1244160],
[[[1, 2], [2, 9], [3, 1], [7, 1], [14, 1]], 1/2580480],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/497664],
[[[1, 2], [2, 9], [3, 2], [4, 1], [16, 1]], 1/92897280],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 115/23887872],
[[[1, 2], [2, 9], [3, 2], [4, 2], [14, 1]], 1/325140480],
[[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 1/6635520],
[[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 107/2229534720],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 1/138240],
[[[1, 2], [2, 9], [4, 1], [5, 1], [16, 1]], 1/25804800],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 1/1966080],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1141/7372800],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 1/24192],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 25/2654208],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 1/20480],
[[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 3/1146880],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 1/126000],
[[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 11/15728640],
[[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 1/11468800],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 193/23592960],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 697/12288000],
[[[1, 2], [2, 9], [4, 2], [6, 1], [16, 1]], 1/737280],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 167/4128768],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 13/1474560],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 2467/44236800],
[[[1, 2], [2, 9], [4, 2], [7, 1], [8, 1]], 43/289013760],
[[[1, 2], [2, 9], [4, 2], [7, 1], [12, 1]], 1/27095040],
[[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 67/144506880],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 1577/51609600],
[[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 107/619315200],
[[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 5/458752],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 3/1310720],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 119/4915200],
[[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 61/68812800],
[[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 29/24772608],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 241/35389440],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 1/147456],
[[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 1/1105920],
[[[1, 2], [2, 9], [5, 1], [7, 1], [10, 1]], 1/11289600],
[[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 1/368640],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 509/32256000],
[[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 19/103219200],
[[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 1/122880],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 541/6451200],
[[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 299/16588800],
[[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 113/45158400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 1507/238878720],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 317/1161216000],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 653/318504960],
[[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 13/433520640],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 817/1238630400],
[[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 1/58060800],
[[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 403/5945425920],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 1/123863040],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 73/24192000],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 1/516096],
[[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 1/2949120],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 97/6220800],
[[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/15052800],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 1/4423680],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 2113/22295347200],
[[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 1/1393459200],
[[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 1/743178240],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1/11059200],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 1/103219200],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 293/8601600],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 1/64512],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 71/26542080],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 49/1105920],
[[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 767/11560550400],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 109/25804800],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 1/11468800],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 1373/289013760],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 887/825753600],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 211/10321920],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 209/1238630400],
[[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/123863040],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 29/275251200],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 439/103219200],
[[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 31/90316800],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 1307/120422400],
[[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 343/110592000],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 25847/33443020800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 1/530841600],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 379/3715891200],
[[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/29727129600],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 1/123863040],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 29/3715891200],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 211/8670412800],
[[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 1/154828800],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 15947/18579456000],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 1/232243200],
[[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 1/16721510400],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 3961/5780275200],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 227/1415577600],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 5947/825753600],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 19/884736000],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 439/19818086400],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 53969/33030144000],
[[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 3937/37158912000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 23491/1337720832000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1/1248539443200],
[[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 421/780337152000],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 223/178362777600],
[[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 1/29727129600],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 1997/222953472000],
[[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/44590694400],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 1567/594542592000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 1651/6606028800],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 9839/74912366592000],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 1/24576],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 17/589824],
[[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 1/3870720],
[[[1, 3], [2, 2], [3, 2], [4, 2], [14, 2]], 1/112896],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 1/221184],
[[[1, 3], [2, 2], [3, 2], [5, 2], [8, 2]], 1/230400],
[[[1, 3], [2, 2], [3, 2], [5, 3], [8, 1]], 1/72000],
[[[1, 3], [2, 2], [4, 1], [7, 1], [8, 3]], 1/14336],
[[[1, 3], [2, 2], [4, 1], [8, 3], [14, 1]], 1/28672],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 1/10240],
[[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 1/25600],
[[[1, 3], [2, 2], [4, 2], [6, 2], [7, 2]], 1/112896],
[[[1, 3], [2, 2], [4, 2], [7, 2], [8, 1]], 1/100352],
[[[1, 3], [2, 2], [4, 2], [8, 1], [28, 1]], 1/896],
[[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 1/25600],
[[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 37/12288],
[[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 1/1280],
[[[1, 3], [2, 2], [4, 2], [8, 3], [10, 1]], 1/20480],
[[[1, 3], [2, 2], [4, 2], [12, 1], [28, 1]], 1/1344],
[[[1, 3], [2, 2], [4, 2], [12, 2], [16, 1]], 1/2304],
[[[1, 3], [2, 2], [4, 2], [12, 2], [20, 1]], 1/2880],
[[[1, 3], [2, 2], [4, 2], [16, 1], [20, 1]], 1/640],
[[[1, 3], [2, 2], [4, 3], [6, 1], [7, 2]], 1/150528],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 1/24576],
[[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 9/57344],
[[[1, 3], [2, 2], [4, 3], [7, 1], [16, 1]], 1/14336],
[[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 1/57344],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 13/245760],
[[[1, 3], [2, 2], [4, 4], [7, 1], [14, 1]], 29/1204224],
[[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 5/3072],
[[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 31/49152],
[[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 29/7680],
[[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 3/81920],
[[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 9/4096],
[[[1, 3], [2, 2], [4, 4], [12, 1], [16, 1]], 1/2304],
[[[1, 3], [2, 2], [4, 4], [12, 1], [20, 1]], 59/23040],
[[[1, 3], [2, 2], [4, 5], [7, 1], [8, 1]], 19/1376256],
[[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 17/15360],
[[[1, 3], [2, 2], [5, 1], [7, 2], [8, 1]], 1/15680],
[[[1, 3], [2, 2], [6, 2], [8, 2], [10, 2]], 1/230400],
[[[1, 3], [2, 2], [7, 1], [8, 2], [14, 1]], 9/25088],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 11/98304],
[[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 1/18816],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 115/1179648],
[[[1, 3], [2, 4], [3, 1], [4, 5], [14, 1]], 1/147456],
[[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 1], [5, 2], [8, 2]], 1/76800],
[[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 1/4500],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 1/27000],
[[[1, 3], [2, 4], [3, 1], [7, 2], [8, 1]], 1/75264],
[[[1, 3], [2, 4], [3, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 4], [3, 1], [10, 1], [14, 2]], 1/23520],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 3]], 1/864000],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 3]], 1/73728],
[[[1, 3], [2, 4], [3, 2], [4, 1], [14, 2]], 1/56448],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 1/5529600],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 5/294912],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 1/110592],
[[[1, 3], [2, 4], [3, 2], [4, 4], [14, 1]], 1/774144],
[[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/294912],
[[[1, 3], [2, 4], [3, 2], [7, 1], [8, 2]], 1/129024],
[[[1, 3], [2, 4], [3, 2], [8, 2], [14, 1]], 1/64512],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 1/41472],
[[[1, 3], [2, 4], [3, 3], [5, 1], [8, 2]], 1/276480],
[[[1, 3], [2, 4], [3, 3], [5, 2], [8, 1]], 1/345600],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 2]], 1/188160],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 1/12800],
[[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 1/2000],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 2]], 1/56448],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 1/49152],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 7/864000],
[[[1, 3], [2, 4], [4, 1], [7, 2], [8, 1]], 1/43008],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/14336],
[[[1, 3], [2, 4], [4, 1], [8, 1], [28, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/9600],
[[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 109/65536],
[[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 7/122880],
[[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 1/26880],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 2]], 1/64512],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 5/32768],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/96000],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 1/301056],
[[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 1/1382400],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 15/114688],
[[[1, 3], [2, 4], [4, 2], [7, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 13/28672],
[[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 1/44800],
[[[1, 3], [2, 4], [4, 2], [14, 1], [16, 1]], 3/14336],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/4096],
[[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/12800],
[[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 1/51200],
[[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/12800],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 11/147456],
[[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 7/5529600],
[[[1, 3], [2, 4], [4, 3], [6, 2], [16, 1]], 1/73728],
[[[1, 3], [2, 4], [4, 3], [7, 1], [14, 1]], 29/100352],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 1/25600],
[[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 19/27648],
[[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 1447/589824],
[[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 37/23040],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 109/245760],
[[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 7/6144],
[[[1, 3], [2, 4], [4, 3], [10, 1], [16, 1]], 1/20480],
[[[1, 3], [2, 4], [4, 3], [12, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 4], [4, 3], [12, 1], [20, 1]], 1/1280],
[[[1, 3], [2, 4], [4, 4], [5, 1], [14, 1]], 1/215040],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 323/1179648],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 1/307200],
[[[1, 3], [2, 4], [4, 4], [6, 1], [16, 1]], 1/24576],
[[[1, 3], [2, 4], [4, 4], [6, 2], [7, 1]], 5/774144],
[[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 29/1032192],
[[[1, 3], [2, 4], [4, 4], [7, 1], [10, 1]], 1/161280],
[[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 9/57344],
[[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 1/143360],
[[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1/32768],
[[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1/81920],
[[[1, 3], [2, 4], [4, 5], [6, 1], [7, 1]], 1/147456],
[[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 19/7077888],
[[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 79/1966080],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 10501/4423680],
[[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 49/2359296],
[[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 11/11796480],
[[[1, 3], [2, 4], [5, 1], [7, 1], [8, 2]], 1/35840],
[[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/2100],
[[[1, 3], [2, 4], [5, 1], [8, 2], [14, 1]], 1/17920],
[[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 1/6000],
[[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/2800],
[[[1, 3], [2, 4], [6, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/25088],
[[[1, 3], [2, 4], [6, 1], [8, 2], [10, 2]], 1/57600],
[[[1, 3], [2, 4], [6, 1], [10, 1], [14, 2]], 1/47040],
[[[1, 3], [2, 4], [6, 2], [7, 1], [8, 2]], 1/32256],
[[[1, 3], [2, 4], [6, 2], [8, 2], [14, 1]], 1/64512],
[[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/50400],
[[[1, 3], [2, 4], [6, 3], [8, 1], [10, 2]], 7/345600],
[[[1, 3], [2, 4], [6, 3], [8, 2], [10, 1]], 1/138240],
[[[1, 3], [2, 4], [7, 1], [8, 2], [10, 1]], 1/13440],
[[[1, 3], [2, 4], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 3], [2, 4], [8, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [7, 2]], 1/903168],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 1/98304],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 1/28800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 13/301056],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 2]], 1/921600],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 1/1327104],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 1231/11796480],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/102400],
[[[1, 3], [2, 6], [3, 1], [4, 3], [16, 1]], 1/73728],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 209/10616832],
[[[1, 3], [2, 6], [3, 1], [4, 4], [14, 1]], 1/147456],
[[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 7/17694720],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 205/5308416],
[[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 89/7077888],
[[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 7/4423680],
[[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 11/9437184],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 29/216000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 7/221184],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 13/103680],
[[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/12600],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 2]], 13/33177600],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 41/497664],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 29/884736],
[[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 7/2073600],
[[[1, 3], [2, 6], [3, 2], [4, 2], [16, 1]], 1/221184],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 521/3981312],
[[[1, 3], [2, 6], [3, 2], [4, 3], [14, 1]], 1/774144],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 1945/63700992],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 7/10616832],
[[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1/3317760],
[[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/43200],
[[[1, 3], [2, 6], [3, 2], [5, 2], [8, 1]], 1/5529600],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 67/1327104],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 13/172800],
[[[1, 3], [2, 6], [3, 2], [8, 2], [10, 1]], 1/276480],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 2]], 1/4147200],
[[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 1/221184],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 11/248832],
[[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 13/1327104],
[[[1, 3], [2, 6], [3, 3], [6, 1], [8, 2]], 1/221184],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 2]], 5/1806336],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 17/491520],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 133/864000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 1/14112],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 5/221184],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 23/259200],
[[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 23/688128],
[[[1, 3], [2, 6], [4, 1], [7, 1], [16, 1]], 17/1290240],
[[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 13/491520],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 97/403200],
[[[1, 3], [2, 6], [4, 1], [14, 1], [16, 1]], 1/172032],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 1211/14745600],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 11/38400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [16, 1]], 1/61440],
[[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1/153600],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 15/65536],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 119/921600],
[[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 1/193536],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 1/884736],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/331776],
[[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 59/245760],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 5/24576],
[[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 235/1179648],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 977/1638400],
[[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 1/49152],
[[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 1/10240],
[[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 1/430080],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 1691/2949120],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 179/2764800],
[[[1, 3], [2, 6], [4, 3], [6, 1], [16, 1]], 11/147456],
[[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 1/36864],
[[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/48384],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 5/442368],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 11/829440],
[[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 5221/123863040],
[[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 1/53760],
[[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 1/64512],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 71/258048],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 107/1290240],
[[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/276480],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 29/1474560],
[[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 109/3686400],
[[[1, 3], [2, 6], [4, 4], [6, 1], [7, 1]], 127/15482880],
[[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 5/196608],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 451/3538944],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/49152],
[[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 41/196608],
[[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 35/294912],
[[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 1/491520],
[[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 2771/14155776],
[[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 89/3932160],
[[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1/36864],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 2]], 1/92160],
[[[1, 3], [2, 6], [5, 1], [7, 1], [14, 1]], 1/25600],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 1/76800],
[[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 3], [2, 6], [6, 1], [7, 1], [8, 2]], 11/645120],
[[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 11/1290240],
[[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 13/80640],
[[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 11/102400],
[[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 1/76800],
[[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 13/241920],
[[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 19/172032],
[[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 13/107520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 5/1492992],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 2]], 1/11059200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 41/1990656],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 1265/99090432],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 7/230400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [16, 1]], 29/30965760],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 2143/26542080],
[[[1, 3], [2, 8], [3, 1], [4, 3], [7, 1]], 1/1548288],
[[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 397/61931520],
[[[1, 3], [2, 8], [3, 1], [4, 4], [5, 1]], 1423/3715891200],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 47/1966080],
[[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 193/26542080],
[[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 1/442368],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1363/212336640],
[[[1, 3], [2, 8], [3, 1], [5, 1], [8, 2]], 29/154828800],
[[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 29/24192000],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 5/442368],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 2789/13824000],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 61/1161216],
[[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 193/2488320],
[[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 23/2580480],
[[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 1/691200],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 1/66355200],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 97/1492992],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1/3538944],
[[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/1036800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [16, 1]], 1/3096576],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 2369/39813120],
[[[1, 3], [2, 8], [3, 2], [4, 2], [7, 1]], 1/18579456],
[[[1, 3], [2, 8], [3, 2], [4, 2], [14, 1]], 29/325140480],
[[[1, 3], [2, 8], [3, 2], [4, 3], [5, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 23/983040],
[[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 137/46448640],
[[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 31/39813120],
[[[1, 3], [2, 8], [3, 2], [6, 1], [8, 2]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 1/86400],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 1/96768],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 7/221184],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 7/138240],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/82944],
[[[1, 3], [2, 8], [3, 3], [4, 2], [5, 1]], 1/39813120],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 11/9953280],
[[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 1/2654208],
[[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 1/221184],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 1/983040],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 19/460800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [16, 1]], 11/9676800],
[[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1/768000],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 17/1474560],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 36967/110592000],
[[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1/884736],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 25/331776],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 79/2654208],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 383/4976640],
[[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 17/573440],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 143/2304000],
[[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 89/11796480],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 179/25804800],
[[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 1/737280],
[[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 1/5160960],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 3539/23592960],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 4499/18432000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 13/737280],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 29/245760],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 247/4423680],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 4607/33177600],
[[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 79/16056320],
[[[1, 3], [2, 8], [4, 2], [7, 1], [12, 1]], 29/27095040],
[[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 47/2949120],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 4373/25804800],
[[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 11747/1857945600],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 229/7372800],
[[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 11/2949120],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 2287/30965760],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 27803/212336640],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 2459/22118400],
[[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 1/110592],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 16991/176947200],
[[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 23/1769472],
[[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 17/22118400],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 2653/35389440],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 131/3686400],
[[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 11/1105920],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 2]], 1/921600],
[[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 29/11289600],
[[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 1/144000],
[[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 13/286720],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 583/9216000],
[[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 271/103219200],
[[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 11/344064],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 929/6451200],
[[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 199/3686400],
[[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 221/12902400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 8909/238878720],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 1/123863040],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 1331/232243200],
[[[1, 3], [2, 10], [3, 1], [4, 1], [16, 1]], 1/61931520],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 2177/63700992],
[[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 73/86704128],
[[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 121/2477260800],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 4057/247726080],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 2377/2972712960],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 823/464486400],
[[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 1/46448640],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 8437/3963617280],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 61/247726080],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 631/24192000],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 1/64512],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 421/79626240],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 737/9953280],
[[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 1/108380160],
[[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 113/67737600],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 703/47775744],
[[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 1/162570240],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 9127/2477260800],
[[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 43/1486356480],
[[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 1/43545600],
[[[1, 3], [2, 10], [3, 2], [4, 2], [12, 1]], 1/139345920],
[[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 169/371589120],
[[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 1/58060800],
[[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 1/7741440],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/1769472],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 61/11059200],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 13/26542080],
[[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 41/1114767360],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 289/412876800],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 1429/9216000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 1/8847360],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 229/3440640],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 289/13271040],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 30247/199065600],
[[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 13/154140672],
[[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 25/16515072],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 67/2150400],
[[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 43/412876800],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 247/103219200],
[[[1, 3], [2, 10], [4, 2], [5, 1], [12, 1]], 1/38707200],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 2675/57802752],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 25/1376256],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 43847/309657600],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 149/24772608],
[[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 31/123863040],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 42589/2972712960],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 14641/353894400],
[[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 1/1105920],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/3686400],
[[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 41/12042240],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 3053/72253440],
[[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 1007/51609600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 386359/33443020800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 67/1083801600],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 833/212336640],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 23/9909043200],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 79/309657600],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 2041/4246732800],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 1663/3468165120],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 29/132710400],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 338843/37158912000],
[[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 1/464486400],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 6353/22295347200],
[[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 1/696729600],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 221/11147673600],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1/25804800],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 73/1238630400],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 29803/4335206400],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 10229/3963617280],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 452177/9289728000],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 26153/49545216000],
[[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 1/1486356480],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 3467/3963617280],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 6515953/297271296000],
[[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 667/516096000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 8881/16721510400],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 11/138726604800],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 137/7431782400],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 45329/713451110400],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 83/44590694400],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 6097/31850496000],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 83/66886041600],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 1741/23781703680],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 2785723/891813888000],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 107227/18728091648000],
[[[1, 3], [3, 1], [4, 4], [5, 1], [8, 2]], 1/92160],
[[[1, 3], [3, 1], [4, 4], [8, 1], [16, 1]], 1/24576],
[[[1, 3], [4, 1], [5, 1], [8, 2], [16, 1]], 1/2560],
[[[1, 3], [4, 2], [7, 1], [8, 1], [16, 1]], 1/3584],
[[[1, 3], [4, 2], [7, 1], [8, 2], [12, 1]], 1/5376],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 1/49152],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 17/589824],
[[[1, 4], [2, 1], [3, 1], [5, 3], [7, 1]], 1/21000],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 3]], 1/288000],
[[[1, 4], [2, 1], [3, 2], [4, 4], [5, 2]], 1/3686400],
[[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 7/442368],
[[[1, 4], [2, 1], [3, 2], [5, 3], [8, 1]], 1/72000],
[[[1, 4], [2, 1], [4, 1], [7, 1], [8, 3]], 1/14336],
[[[1, 4], [2, 1], [4, 1], [8, 3], [14, 1]], 1/28672],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 2]], 1/62720],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 1/10240],
[[[1, 4], [2, 1], [4, 2], [7, 2], [8, 1]], 1/100352],
[[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 1/3072],
[[[1, 4], [2, 1], [4, 2], [8, 3], [10, 1]], 1/20480],
[[[1, 4], [2, 1], [4, 3], [6, 1], [7, 2]], 1/150528],
[[[1, 4], [2, 1], [4, 3], [7, 1], [8, 2]], 1/7168],
[[[1, 4], [2, 1], [4, 3], [7, 1], [16, 1]], 1/14336],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 1/46080],
[[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 7/196608],
[[[1, 4], [2, 1], [4, 5], [7, 1], [8, 1]], 19/1376256],
[[[1, 4], [2, 1], [5, 1], [7, 2], [8, 1]], 1/15680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/96000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 1/301056],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 5/32768],
[[[1, 4], [2, 3], [3, 1], [4, 2], [14, 2]], 1/64512],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 1/307200],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 323/1179648],
[[[1, 4], [2, 3], [3, 1], [4, 4], [16, 1]], 1/24576],
[[[1, 4], [2, 3], [3, 1], [4, 5], [14, 1]], 1/147456],
[[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 11/11796480],
[[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 49/2359296],
[[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 1/138240],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 2]], 1/47040],
[[[1, 4], [2, 3], [3, 1], [5, 2], [8, 2]], 1/57600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 1/6000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [8, 1]], 1/24000],
[[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/25088],
[[[1, 4], [2, 3], [3, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 7/864000],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 1/49152],
[[[1, 4], [2, 3], [3, 2], [4, 1], [14, 2]], 1/56448],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 7/5529600],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 11/147456],
[[[1, 4], [2, 3], [3, 2], [4, 3], [16, 1]], 1/73728],
[[[1, 4], [2, 3], [3, 2], [4, 4], [14, 1]], 5/774144],
[[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/294912],
[[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 19/7077888],
[[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/50400],
[[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 1/27000],
[[[1, 4], [2, 3], [3, 2], [7, 1], [8, 2]], 1/64512],
[[[1, 4], [2, 3], [3, 2], [8, 2], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 1/1382400],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 1/41472],
[[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 1/110592],
[[[1, 4], [2, 3], [3, 3], [5, 1], [8, 2]], 1/138240],
[[[1, 4], [2, 3], [3, 3], [5, 2], [8, 1]], 7/345600],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 1/26880],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 7/122880],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/9600],
[[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 1/2000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/16000],
[[[1, 4], [2, 3], [4, 1], [6, 2], [7, 2]], 1/56448],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 3]], 1/73728],
[[[1, 4], [2, 3], [4, 1], [6, 2], [10, 3]], 1/864000],
[[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/14336],
[[[1, 4], [2, 3], [4, 1], [8, 1], [14, 2]], 1/43008],
[[[1, 4], [2, 3], [4, 1], [8, 1], [28, 1]], 1/5376],
[[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 1/12800],
[[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 109/65536],
[[[1, 4], [2, 3], [4, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 4], [2, 3], [4, 1], [10, 1], [14, 2]], 1/188160],
[[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 1/44800],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 1/18816],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 11/98304],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 13/28672],
[[[1, 4], [2, 3], [4, 2], [7, 1], [16, 1]], 3/14336],
[[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 15/114688],
[[[1, 4], [2, 3], [4, 2], [14, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 109/245760],
[[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 3], [4, 3], [5, 1], [16, 1]], 1/20480],
[[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 1/25600],
[[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/12800],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 5/294912],
[[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 1/5529600],
[[[1, 4], [2, 3], [4, 3], [7, 1], [14, 1]], 29/100352],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 1/51200],
[[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 19/27648],
[[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 1447/589824],
[[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 37/23040],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/4096],
[[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 7/6144],
[[[1, 4], [2, 3], [4, 3], [12, 1], [16, 1]], 1/1536],
[[[1, 4], [2, 3], [4, 3], [12, 1], [20, 1]], 1/1280],
[[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 1/143360],
[[[1, 4], [2, 3], [4, 4], [5, 1], [14, 1]], 1/161280],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 115/1179648],
[[[1, 4], [2, 3], [4, 4], [6, 2], [7, 1]], 1/774144],
[[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 9/57344],
[[[1, 4], [2, 3], [4, 4], [7, 1], [10, 1]], 1/215040],
[[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 1/21504],
[[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 29/1032192],
[[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 79/1966080],
[[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1/81920],
[[[1, 4], [2, 3], [4, 5], [6, 1], [7, 1]], 1/147456],
[[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1/32768],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 10501/4423680],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 2]], 1/23520],
[[[1, 4], [2, 3], [5, 1], [7, 1], [8, 2]], 1/26880],
[[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/2800],
[[[1, 4], [2, 3], [5, 1], [8, 2], [14, 1]], 1/13440],
[[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 1/4500],
[[[1, 4], [2, 3], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/2100],
[[[1, 4], [2, 3], [6, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 4], [2, 3], [6, 1], [8, 1], [14, 2]], 1/75264],
[[[1, 4], [2, 3], [6, 1], [8, 2], [10, 2]], 1/76800],
[[[1, 4], [2, 3], [6, 2], [7, 1], [8, 2]], 1/64512],
[[[1, 4], [2, 3], [6, 2], [8, 2], [14, 1]], 1/129024],
[[[1, 4], [2, 3], [6, 3], [8, 1], [10, 2]], 1/345600],
[[[1, 4], [2, 3], [6, 3], [8, 2], [10, 1]], 1/276480],
[[[1, 4], [2, 3], [7, 1], [8, 2], [10, 1]], 1/17920],
[[[1, 4], [2, 3], [8, 2], [10, 1], [14, 1]], 1/35840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 1/288000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/100352],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 5/294912],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/48000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 55/903168],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 1/122880],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 1/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 4951/11796480],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 19/921600],
[[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 7/73728],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 115/10616832],
[[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 5/2064384],
[[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 11/147456],
[[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 49/17694720],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 457/10616832],
[[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 485/7077888],
[[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 7/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 2147/28311552],
[[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/806400],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/112896],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/14400],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/37632],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 1/24576],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 37/518400],
[[[1, 4], [2, 5], [3, 1], [7, 1], [8, 2]], 1/86016],
[[[1, 4], [2, 5], [3, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 71/7372800],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 41/497664],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 25/221184],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/138240],
[[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 871/3981312],
[[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 1/3096576],
[[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 19/774144],
[[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/884736],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 37/196608],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 257/10616832],
[[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 1/414720],
[[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 7/1327104],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 2]], 1/92160],
[[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/8640],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 11/259200],
[[[1, 4], [2, 5], [3, 2], [5, 2], [8, 1]], 61/5529600],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 19/110592],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 13/129600],
[[[1, 4], [2, 5], [3, 2], [7, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 2], [8, 2], [10, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 2]], 13/4147200],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 5/221184],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 17/82944],
[[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1/6635520],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 395/3981312],
[[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 1/884736],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/1327104],
[[[1, 4], [2, 5], [3, 3], [5, 1], [7, 1]], 1/483840],
[[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 7/518400],
[[[1, 4], [2, 5], [3, 3], [6, 1], [8, 2]], 5/221184],
[[[1, 4], [2, 5], [3, 3], [7, 1], [8, 1]], 1/193536],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 41/1492992],
[[[1, 4], [2, 5], [3, 4], [5, 1], [8, 1]], 1/414720],
[[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/134400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 2]], 41/1806336],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 41/1474560],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 31/864000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/25088],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 29/1036800],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 3/28672],
[[[1, 4], [2, 5], [4, 1], [7, 1], [16, 1]], 1/28672],
[[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 17/172032],
[[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 31/403200],
[[[1, 4], [2, 5], [4, 1], [14, 1], [16, 1]], 5/172032],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 353/1474560],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 1/1536],
[[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 11/92160],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/230400],
[[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 1/2400],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 43/196608],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 1057/22118400],
[[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 1/13824],
[[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 1/774144],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 1/2654208],
[[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 1/1658880],
[[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 439/516096],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 89/368640],
[[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 1/27648],
[[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 821/589824],
[[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 11/16384],
[[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 43/147456],
[[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 17/92160],
[[[1, 4], [2, 5], [4, 2], [12, 1], [20, 1]], 1/46080],
[[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/57344],
[[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/76800],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 79/98304],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 119/2764800],
[[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 7/49152],
[[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 13/258048],
[[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 5/774144],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/147456],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/331776],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 505/2752512],
[[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 863/2064384],
[[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 83/1290240],
[[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 1/7168],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 19/3317760],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 269/1105920],
[[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 2131/11059200],
[[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 235/3096576],
[[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 23/2064384],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 521/5308416],
[[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 29/4423680],
[[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 1/110592],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 1739/4423680],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 341/221184],
[[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 1/147456],
[[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 1145/4718592],
[[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 277/11796480],
[[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 1/36864],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 2]], 7/276480],
[[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 3/17920],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 7/57600],
[[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 7/43200],
[[[1, 4], [2, 5], [6, 1], [7, 1], [8, 2]], 5/129024],
[[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 5/258048],
[[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 37/806400],
[[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 7/102400],
[[[1, 4], [2, 5], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 5], [6, 4], [8, 1], [10, 1]], 1/82944],
[[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 13/57344],
[[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 13/53760],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 5/1492992],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 17/6635520],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 307/11943936],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 41689/495452160],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 709/8294400],
[[[1, 4], [2, 7], [3, 1], [4, 2], [16, 1]], 1/69120],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 391/1990656],
[[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 5/774144],
[[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 133/2949120],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 8101/1061683200],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 221/829440],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 20437/212336640],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 29/1105920],
[[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 1/110592],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 11513/212336640],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 83/44236800],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 4], [2, 7], [3, 1], [5, 2], [8, 1]], 1/1843200],
[[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 17/1728000],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 47/1105920],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 383/1382400],
[[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/32256],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 1/13824],
[[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 11/331776],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 143/2580480],
[[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 7/691200],
[[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 67/66355200],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 23/124416],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 1/73728],
[[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 7/1036800],
[[[1, 4], [2, 7], [3, 2], [4, 1], [16, 1]], 89/30965760],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 4321/9953280],
[[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 1/331776],
[[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 11/3317760],
[[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 23/6635520],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 2249/8847360],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 41807/1486356480],
[[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 11/1658880],
[[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 1/331776],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 97/3538944],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1/17280],
[[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/3870720],
[[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 7/8294400],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 23/2211840],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 31/518400],
[[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 1/96768],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 31/290304],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 73/663552],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 13/62208],
[[[1, 4], [2, 7], [3, 2], [7, 1], [8, 1]], 1/3096576],
[[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 1/241920],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 37/248832],
[[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 1/2322432],
[[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 7/4976640],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 881/13271040],
[[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 7/884736],
[[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 59/15925248],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 1/82944],
[[[1, 4], [2, 7], [3, 3], [5, 1], [8, 1]], 1/6635520],
[[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 1/387072],
[[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 19/663552],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 1/23040],
[[[1, 4], [2, 7], [3, 4], [4, 1], [5, 1]], 1/4976640],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1/497664],
[[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 7/7962624],
[[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/11943936],
[[[1, 4], [2, 7], [3, 4], [5, 1], [6, 1]], 1/829440],
[[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 1/331776],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 19/737280],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 139/460800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [16, 1]], 743/77414400],
[[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/307200],
[[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 41/768000],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 301/5898240],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 32741/110592000],
[[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 1/147456],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 5/72576],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 41/995328],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 73/1244160],
[[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 199/1032192],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 461/2764800],
[[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 377/11796480],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 129/1638400],
[[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 17/3096576],
[[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/921600],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 10367/23592960],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 6823/22118400],
[[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 299/4423680],
[[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 31/1032192],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 1705/12386304],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 101/884736],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 3617/26542080],
[[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 467/6881280],
[[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 17/1935360],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 853/4128768],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 2627/10321920],
[[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 7/368640],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 260789/3715891200],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 73/294912],
[[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 737/20643840],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 3791/30965760],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 6697/17694720],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 1139/7372800],
[[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 1/27648],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 48269/88473600],
[[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 11/196608],
[[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 983/66355200],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 123041/212336640],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 1879/15728640],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 11/221184],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 17/1382400],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 17/230400],
[[[1, 4], [2, 7], [5, 1], [7, 1], [8, 1]], 1/860160],
[[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 17/806400],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 49/432000],
[[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 89/516096],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 49/460800],
[[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 11/921600],
[[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 23/430080],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 53/430080],
[[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 587/8294400],
[[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 29/645120],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/22118400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 4303/47775744],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 1/917504],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 6247/165888000],
[[[1, 4], [2, 9], [3, 1], [4, 1], [16, 1]], 89/185794560],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 189313/955514880],
[[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 19/24772608],
[[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 2203/185794560],
[[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 3299/2477260800],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 15209/106168320],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 130673/8918138880],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 5587/309657600],
[[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 29/46448640],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 255833/5945425920],
[[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1/123863040],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 781/247726080],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 7/76800],
[[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 1/368640],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 397/7741440],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 137/5308416],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 467/2764800],
[[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 29/108380160],
[[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 221/19353600],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 9983/79626240],
[[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/37158912],
[[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 29/162570240],
[[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 7/17694720],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 151/1835008],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 1331/495452160],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 233/278691840],
[[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 1/4644864],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 1403/148635648],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 23/11059200],
[[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 1/1935360],
[[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 1/3096576],
[[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 37/11612160],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 289/26542080],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 653/11059200],
[[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/79626240],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 683/79626240],
[[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/10616832],
[[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 145/74317824],
[[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/6635520],
[[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/5308416],
[[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/3981312],
[[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 1/10321920],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 443/27525120],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 122141/387072000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 1/589824],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 683/5160960],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 5507/79626240],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 24397/99532800],
[[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 1327/462422016],
[[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 2903/247726080],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 50597/541900800],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 6157/1238630400],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 1/24576],
[[[1, 4], [2, 9], [4, 2], [5, 1], [12, 1]], 11/14515200],
[[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 23/6881280],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 17599/123863040],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 23/147456],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 7631/22118400],
[[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 1/1327104],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 695/8257536],
[[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 71/26542080],
[[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 1/1105920],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 77/29491200],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 164963/990904320],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 440137/2477260800],
[[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 13/1105920],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 1/61440],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 7/1228800],
[[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 503/36126720],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 1219/14745600],
[[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 8587/154828800],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1027031/16721510400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 691/650280960],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 73/2831155200],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 519257/11147673600],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 28601/59454259200],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 11237/2786918400],
[[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 1/92897280],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 884599/89181388800],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1/8601600],
[[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 11/385351680],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 1691/433520640],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 253/103219200],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 13621/309657600],
[[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 1/14515200],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1837/275251200],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 13/792723456],
[[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 1/21772800],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 26359/22295347200],
[[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 11/825753600],
[[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 1/185794560],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 127/116121600],
[[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 59/2229534720],
[[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 13/220200960],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 731/412876800],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 130939/4335206400],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 129071/7431782400],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 1450081/9289728000],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 1177/232243200],
[[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 11/495452160],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 88177/5945425920],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 844379/7431782400],
[[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 1/13271040],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 1/1228800],
[[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 971/132710400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 1602319/267544166400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 11/3303014400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 9659/27869184000],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 3074243/2140353331200],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 229/5945425920],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 617/330301440],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 373/8918138880],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 317993/356725555200],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 16759541/891813888000],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 52921/468202291200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 1/48000],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/100352],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 1/8192],
[[[1, 5], [2, 2], [3, 1], [4, 2], [14, 2]], 1/451584],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 1/245760],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 751/3538944],
[[[1, 5], [2, 2], [3, 1], [4, 4], [16, 1]], 1/24576],
[[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 1/688128],
[[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 11/11796480],
[[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 49/2359296],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/15680],
[[[1, 5], [2, 2], [3, 1], [5, 2], [8, 2]], 1/230400],
[[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/18000],
[[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/25088],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/19200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 23/1843200],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 11/98304],
[[[1, 5], [2, 2], [3, 2], [4, 3], [16, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/2064384],
[[[1, 5], [2, 2], [3, 2], [4, 4], [14, 1]], 1/193536],
[[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 1/1474560],
[[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 31/3538944],
[[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/12600],
[[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 7/108000],
[[[1, 5], [2, 2], [3, 2], [7, 1], [8, 2]], 1/129024],
[[[1, 5], [2, 2], [3, 2], [8, 2], [14, 1]], 1/64512],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 7/1382400],
[[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 1/4423680],
[[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 1/110592],
[[[1, 5], [2, 2], [3, 3], [5, 1], [8, 2]], 1/276480],
[[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 11/345600],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 1/8960],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 1/15360],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/38400],
[[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 1/12000],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 3]], 1/147456],
[[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 5/100352],
[[[1, 5], [2, 2], [4, 1], [8, 1], [14, 2]], 1/301056],
[[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 19/196608],
[[[1, 5], [2, 2], [4, 1], [8, 3], [10, 1]], 1/40960],
[[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 1/25088],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 5/98304],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 3/8192],
[[[1, 5], [2, 2], [4, 2], [7, 1], [16, 1]], 1/14336],
[[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 17/344064],
[[[1, 5], [2, 2], [4, 2], [14, 1], [16, 1]], 1/43008],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 71/245760],
[[[1, 5], [2, 2], [4, 3], [5, 1], [16, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 1/38400],
[[[1, 5], [2, 2], [4, 3], [7, 1], [14, 1]], 1/24576],
[[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 231/655360],
[[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 13/245760],
[[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 7/73728],
[[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 1/114688],
[[[1, 5], [2, 2], [4, 4], [5, 1], [14, 1]], 1/645120],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 13/1179648],
[[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 13/98304],
[[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 1/21504],
[[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 1/294912],
[[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 19/1474560],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 2]], 1/23520],
[[[1, 5], [2, 2], [5, 1], [7, 1], [8, 2]], 1/107520],
[[[1, 5], [2, 2], [5, 1], [8, 2], [14, 1]], 1/53760],
[[[1, 5], [2, 2], [5, 2], [6, 1], [10, 2]], 1/18000],
[[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 1/8400],
[[[1, 5], [2, 2], [5, 2], [10, 1], [14, 1]], 1/8400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 31/864000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/25088],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 41/1474560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [14, 2]], 41/1806336],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 119/2764800],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 79/98304],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/76800],
[[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 7/49152],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 23/2064384],
[[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 235/3096576],
[[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 277/11796480],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 7/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 1145/4718592],
[[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 1/147456],
[[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 1/36864],
[[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 2147/28311552],
[[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 37/806400],
[[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/14400],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/37632],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/112896],
[[[1, 5], [2, 4], [3, 1], [6, 3], [8, 2]], 5/221184],
[[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 7/518400],
[[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 5/258048],
[[[1, 5], [2, 4], [3, 1], [8, 2], [14, 1]], 5/129024],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 1057/22118400],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 41/1492992],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 43/196608],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/230400],
[[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 395/3981312],
[[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 5/774144],
[[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 13/258048],
[[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 29/4423680],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 37/196608],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 521/5308416],
[[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 19/3317760],
[[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 1/110592],
[[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 457/10616832],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 2]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 7/43200],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 13/129600],
[[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 7/102400],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 19/110592],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 11/259200],
[[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [3, 2], [8, 2], [10, 1]], 7/276480],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 29/1036800],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/27648],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 17/82944],
[[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 1/774144],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/331776],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 871/3981312],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/147456],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 115/10616832],
[[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 1/53760],
[[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 37/518400],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 1/24576],
[[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/48384],
[[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 1/1658880],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 41/497664],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 1/2654208],
[[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 1/3981312],
[[[1, 5], [2, 4], [3, 4], [5, 1], [8, 1]], 1/82944],
[[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 31/403200],
[[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/48000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 55/903168],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 5/294912],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 1/288000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/100352],
[[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 5/221184],
[[[1, 5], [2, 4], [4, 1], [6, 3], [10, 2]], 13/4147200],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 17/172032],
[[[1, 5], [2, 4], [4, 1], [7, 1], [16, 1]], 5/172032],
[[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 3/28672],
[[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/134400],
[[[1, 5], [2, 4], [4, 1], [14, 1], [16, 1]], 1/28672],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 11/16384],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 1/2400],
[[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 17/92160],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/138240],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 89/368640],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 1/1536],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 25/221184],
[[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 71/7372800],
[[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 1/27648],
[[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 439/516096],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 1/11520],
[[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 1/27648],
[[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 821/589824],
[[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 1/7680],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 353/1474560],
[[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 43/147456],
[[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 11/92160],
[[[1, 5], [2, 4], [4, 2], [12, 1], [20, 1]], 1/46080],
[[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 83/1290240],
[[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 19/921600],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 4951/11796480],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 1/122880],
[[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 7/73728],
[[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 19/774144],
[[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 1/3096576],
[[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 1/884736],
[[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1/6635520],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 863/2064384],
[[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/17920],
[[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 1/7168],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 505/2752512],
[[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/57344],
[[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 1/414720],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 1739/4423680],
[[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 2131/11059200],
[[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 11/147456],
[[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 5/2064384],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 257/10616832],
[[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/884736],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 269/1105920],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 341/221184],
[[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 7/1105920],
[[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 485/7077888],
[[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 49/17694720],
[[[1, 5], [2, 4], [5, 1], [6, 2], [8, 2]], 1/55296],
[[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 13/53760],
[[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 7/57600],
[[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/8640],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 5], [2, 4], [6, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 5], [2, 4], [6, 1], [8, 2], [14, 1]], 1/86016],
[[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/806400],
[[[1, 5], [2, 4], [6, 2], [7, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [6, 2], [8, 1], [10, 2]], 61/5529600],
[[[1, 5], [2, 4], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [6, 3], [8, 1], [14, 1]], 1/193536],
[[[1, 5], [2, 4], [6, 3], [10, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 4], [6, 4], [8, 1], [10, 1]], 1/414720],
[[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 13/57344],
[[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 3/17920],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 5/2985984],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 421/13271040],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 5/331776],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 25181/70778880],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 763/8294400],
[[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 1/13824],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 11/62208],
[[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 19/589824],
[[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 2029/12386304],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 67/1572864],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 24919/63700992],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 86939/212336640],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 581/6635520],
[[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 7/110592],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 28471/84934656],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 41/2949120],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 23/86400],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 7/172800],
[[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 41/2764800],
[[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 1/38400],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 107/1658880],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 23/138240],
[[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 1/16128],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 61/1161216],
[[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 11/331776],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 25/497664],
[[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 461/2580480],
[[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 1/46080],
[[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 7/276480],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 73/4423680],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 23/124416],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 23/393216],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/69120],
[[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 31/3317760],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 4207/5971968],
[[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 797/37158912],
[[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 59/1548288],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 77/2949120],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 25/27648],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 49817/318504960],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 1/34560],
[[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 1/41472],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 2303/13271040],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 11/69120],
[[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 29/3870720],
[[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 289/8294400],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 47/1105920],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 23/259200],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 31/290304],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 1/5184],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 5/27648],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 31/124416],
[[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 19/1548288],
[[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 19/41472],
[[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1/145152],
[[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1037/79626240],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 15539/39813120],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 115/2654208],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 943/15925248],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 119/1244160],
[[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 31/3317760],
[[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 11/580608],
[[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 7/55296],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 1/6912],
[[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 17/4976640],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 97/1492992],
[[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 23/2654208],
[[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 7/1990656],
[[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 17/1244160],
[[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 1/62208],
[[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/2985984],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 269/2949120],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 149/230400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 19/691200],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 17/307200],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 101/230400],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 377/4423680],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 809/7372800],
[[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 11/884736],
[[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 25/774144],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 37/1327104],
[[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 1/46080],
[[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 1685/3612672],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 91/552960],
[[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 12223/117964800],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 17/122880],
[[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 7/245760],
[[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 277/6193152],
[[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 1/15360],
[[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 19/552960],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 41171/70778880],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 541/3686400],
[[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 487/4423680],
[[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 67/1032192],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 475/6193152],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 91/884736],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 269/4423680],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 1349/4128768],
[[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 1/43008],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 2347/5160960],
[[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 797/5160960],
[[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 5/258048],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 23/552960],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 140963/265420800],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 193/245760],
[[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 11/138240],
[[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 1945/12386304],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1051/12386304],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 16175/42467328],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 257/2949120],
[[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 1/20736],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 10823/11796480],
[[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 617/1769472],
[[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 17/138240],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 5137/66355200],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 88247/106168320],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 17819/141557760],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 7/73728],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 43/1382400],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 7/76800],
[[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/80640],
[[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 23/1290240],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1/17920],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 1/21504],
[[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 131/432000],
[[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 15/57344],
[[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 397/5529600],
[[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 127/3096576],
[[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 193/3870720],
[[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 31/737280],
[[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 121/2580480],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 59/33177600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 26771/238878720],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 3859/247726080],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 3119/33177600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [16, 1]], 143/34406400],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 44833/106168320],
[[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 727/74317824],
[[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 76133/1300561920],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 19607/1061683200],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 11659/17694720],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 96049/550502400],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 3151/33177600],
[[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 1/103680],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 1435151/5096079360],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 1/46080],
[[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 73/123863040],
[[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/691200],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 12449/743178240],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 1/6912],
[[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 41/1290240],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 649/7741440],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 101/1769472],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 5053/24883200],
[[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 1/1032192],
[[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 17/7741440],
[[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 29/967680],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 39877/79626240],
[[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 23/9289728],
[[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 1/362880],
[[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 77/10616832],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 172201/318504960],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 2257/61931520],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 31/2764800],
[[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 89/46448640],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 14123/106168320],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 403/11059200],
[[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 1/1474560],
[[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 89/19353600],
[[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 25/4644864],
[[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 421/23224320],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 533/8847360],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 2393/11059200],
[[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 29/19906560],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 307/2949120],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 23/5308416],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 50419/2229534720],
[[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 23/4976640],
[[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 13/1769472],
[[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 209/47775744],
[[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 41/15482880],
[[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/737280],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 29/483840],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 16709/55296000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 71/8847360],
[[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 5/516096],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 713/5160960],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 2783/26542080],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 6787/33177600],
[[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 433/16515072],
[[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 31183/693633024],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 9733/77414400],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 31/1474560],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 16267/206438400],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 43/147456],
[[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 743/116121600],
[[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 107/2949120],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 23993/123863040],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 959/2359296],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 5561/14745600],
[[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 1/221184],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 16549/41287680],
[[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 2251/185794560],
[[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 1909/44236800],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 319679/424673280],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 22891/70778880],
[[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 299/6635520],
[[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/1290240],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 1/18432],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 19/737280],
[[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 1/1032192],
[[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 13/483840],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 26087/309657600],
[[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 569/7372800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 202471/1114767360],
[[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 1/4718592],
[[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 19841/2601123840],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 3217/2831155200],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 124141/530841600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 135461/11890851840],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 19021/696729600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 89/278691840],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 286649/2972712960],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 7/3686400],
[[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/70778880],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 661/232243200],
[[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 461/578027520],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 25679/1734082560],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 16327/148635648],
[[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 13/18579456],
[[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 5/42467328],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 4381/61931520],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 4691/5945425920],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 107/139345920],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 125473/6688604160],
[[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 247/412876800],
[[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 1/1376256],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 73/8294400],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 265/148635648],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 911/412876800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 857/44236800],
[[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 71/82575360],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 7811/115605504],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 9791/157286400],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 109157/412876800],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 53891/2123366400],
[[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 89/371589120],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 23/9830400],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 128567/1101004800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 32081/117964800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 1/884736],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 49/3686400],
[[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 79297/3715891200],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 101/19818086400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 4486189/133772083200],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 9001/71345111040],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 17131/5573836800],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 136763/9512681472],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 11/550502400],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 12461/29727129600],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 41953/4459069440],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 86353/89181388800],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 349043/59454259200],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 3020651/49545216000],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 2458823/2140353331200],
[[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/12288],
[[[1, 5], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200],
[[[1, 5], [3, 1], [4, 4], [5, 1], [7, 1]], 1/860160],
[[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 5], [3, 2], [4, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 5], [4, 2], [5, 1], [8, 2], [12, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/72000],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/100352],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 1/24576],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 1/921600],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 239/8847360],
[[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 1/688128],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/15680],
[[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/72000],
[[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/75264],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 13/288000],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 1/73728],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 7/614400],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 1/18432],
[[[1, 6], [2, 1], [3, 2], [4, 3], [16, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 1/1032192],
[[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 1/1474560],
[[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 43/7077888],
[[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/10080],
[[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 1/36000],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 11/1382400],
[[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 1/2211840],
[[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/69120],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/12544],
[[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 1/61440],
[[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 1/48000],
[[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 7/327680],
[[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/33600],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 1/98304],
[[[1, 6], [2, 1], [4, 2], [8, 2], [14, 1]], 1/172032],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 1/24576],
[[[1, 6], [2, 1], [4, 3], [5, 1], [16, 1]], 1/61440],
[[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 1/153600],
[[[1, 6], [2, 1], [4, 3], [7, 1], [14, 1]], 1/172032],
[[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 31/655360],
[[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 1/245760],
[[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 1/73728],
[[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 1/430080],
[[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 19/5898240],
[[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 1/33600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 133/864000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 1/14112],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 17/491520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [14, 2]], 5/1806336],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 179/2764800],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 1691/2949120],
[[[1, 6], [2, 3], [3, 1], [4, 3], [16, 1]], 11/147456],
[[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 5/196608],
[[[1, 6], [2, 3], [3, 1], [4, 4], [14, 1]], 127/15482880],
[[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 89/3932160],
[[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 2771/14155776],
[[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 1/491520],
[[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 11/9437184],
[[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 13/80640],
[[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 29/216000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/37632],
[[[1, 6], [2, 3], [3, 1], [6, 3], [8, 2]], 1/221184],
[[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 11/1290240],
[[[1, 6], [2, 3], [3, 1], [8, 2], [14, 1]], 11/645120],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 119/921600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 15/65536],
[[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 13/1327104],
[[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/48384],
[[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/49152],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 1945/63700992],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 451/3538944],
[[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/276480],
[[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 205/5308416],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 1/76800],
[[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/14400],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 13/172800],
[[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 11/102400],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 67/1327104],
[[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 6], [2, 3], [3, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 23/259200],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 5/221184],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 11/248832],
[[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 1/193536],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 11/829440],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 521/3981312],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 5/442368],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 209/10616832],
[[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 13/241920],
[[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 13/103680],
[[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 7/221184],
[[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 1/32256],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/331776],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 41/497664],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 1/884736],
[[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 1/1327104],
[[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/46080],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 97/403200],
[[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 1/28800],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 13/301056],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 1/98304],
[[[1, 6], [2, 3], [4, 1], [6, 1], [14, 2]], 1/903168],
[[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 1/221184],
[[[1, 6], [2, 3], [4, 1], [6, 3], [10, 2]], 1/4147200],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 13/491520],
[[[1, 6], [2, 3], [4, 1], [7, 1], [16, 1]], 1/172032],
[[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 23/688128],
[[[1, 6], [2, 3], [4, 1], [14, 1], [16, 1]], 17/1290240],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 977/1638400],
[[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 1/10240],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 7/2073600],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 5/24576],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 11/38400],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 29/884736],
[[[1, 6], [2, 3], [4, 2], [6, 2], [10, 2]], 13/33177600],
[[[1, 6], [2, 3], [4, 2], [6, 2], [16, 1]], 1/221184],
[[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 59/245760],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1/153600],
[[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 235/1179648],
[[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 1211/14745600],
[[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 1/49152],
[[[1, 6], [2, 3], [4, 2], [10, 1], [16, 1]], 1/61440],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 107/1290240],
[[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 1/53760],
[[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/102400],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 1231/11796480],
[[[1, 6], [2, 3], [4, 3], [6, 1], [10, 2]], 1/921600],
[[[1, 6], [2, 3], [4, 3], [6, 1], [16, 1]], 1/73728],
[[[1, 6], [2, 3], [4, 3], [6, 2], [7, 1]], 1/774144],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 71/258048],
[[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 1/21504],
[[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 5221/123863040],
[[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 1/430080],
[[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 1/64512],
[[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1/3317760],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 41/196608],
[[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 109/3686400],
[[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 3], [4, 4], [6, 1], [7, 1]], 1/147456],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 7/10616832],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 29/1474560],
[[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 35/294912],
[[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 7/4423680],
[[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 89/7077888],
[[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 7/17694720],
[[[1, 6], [2, 3], [5, 1], [6, 2], [8, 2]], 1/276480],
[[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 13/107520],
[[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 1/76800],
[[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/12600],
[[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 6], [2, 3], [6, 2], [8, 1], [10, 2]], 1/5529600],
[[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 19/172032],
[[[1, 6], [2, 3], [7, 1], [10, 1], [14, 1]], 1/25600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/2985984],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 541/3686400],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 7/1990656],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 41171/70778880],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 19/552960],
[[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 487/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 943/15925248],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1051/12386304],
[[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 1945/12386304],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 17819/141557760],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 2303/13271040],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 88247/106168320],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 5137/66355200],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 7/73728],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 28471/84934656],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 1/46080],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 131/432000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 23/259200],
[[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 397/5529600],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 7/76800],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 47/1105920],
[[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 289/8294400],
[[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 1/32256],
[[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 11/580608],
[[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 17/1244160],
[[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 15/57344],
[[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 43/1382400],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 809/7372800],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 97/1492992],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 377/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/115200],
[[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 11/884736],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 15539/39813120],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 475/6193152],
[[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 67/1032192],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 257/2949120],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 25/27648],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 16175/42467328],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 23/552960],
[[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 24919/63700992],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 1/6912],
[[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 193/3870720],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 23/138240],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 107/1658880],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 7/172800],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 1/5184],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 31/290304],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 7/55296],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 119/1244160],
[[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 127/3096576],
[[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/80640],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 19/41472],
[[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 25/774144],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 269/4423680],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 4207/5971968],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 91/884736],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 11/62208],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 31/124416],
[[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 31/737280],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 61/1161216],
[[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 5/27648],
[[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 11/69120],
[[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 1/46080],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 23/124416],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 37/1327104],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 5/331776],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 25/497664],
[[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 11/331776],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 5/2985984],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 17/122880],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 101/230400],
[[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 7/245760],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/69120],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 91/552960],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 149/230400],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 23/393216],
[[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 73/4423680],
[[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 31/3317760],
[[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1/145152],
[[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 23/2654208],
[[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 17/4976640],
[[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 1685/3612672],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 17/307200],
[[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 12223/117964800],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 269/2949120],
[[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 19/691200],
[[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 797/5160960],
[[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 1/11520],
[[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 763/8294400],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 25181/70778880],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 421/13271040],
[[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 1/13824],
[[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 59/1548288],
[[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 797/37158912],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 115/2654208],
[[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1037/79626240],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 2347/5160960],
[[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 5/258048],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 1349/4128768],
[[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 277/6193152],
[[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 1/43008],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 1/34560],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 10823/11796480],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 193/245760],
[[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 17/138240],
[[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 2029/12386304],
[[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 19/589824],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 49817/318504960],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 77/2949120],
[[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 1/41472],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 140963/265420800],
[[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 617/1769472],
[[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 11/138240],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 581/6635520],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 86939/212336640],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 67/1572864],
[[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 7/110592],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 7/276480],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 1/38400],
[[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 121/2580480],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 1/21504],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 1/46080],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 23/86400],
[[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 461/2580480],
[[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 41/2764800],
[[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 41/2949120],
[[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 19/1548288],
[[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 29/3870720],
[[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 31/3317760],
[[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 23/1290240],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 427/16588800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 3625/47775744],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 2609/35389440],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 2873/33177600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 3953/309657600],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 519/1310720],
[[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 18427/371589120],
[[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 24679/185794560],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 21181/212336640],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 34423/35389440],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 10620647/14863564800],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 2827/13271040],
[[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 1/20736],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 6909353/8493465600],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 7/138240],
[[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 281/30965760],
[[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 1/1612800],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 11/414720],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 7547/176947200],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 211/2073600],
[[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 127/1548288],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 331/4644864],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 5029/79626240],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 107/829440],
[[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 31/3096576],
[[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 1/172032],
[[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 121/3870720],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 177413/238878720],
[[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 401/18579456],
[[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 1/55296],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 2449/44236800],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 95261/66355200],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 5369/26542080],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 37/884736],
[[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 31/4976640],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 2501/4423680],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 1237/6635520],
[[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 61/4423680],
[[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 61/2073600],
[[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 5/165888],
[[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 79/1161216],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 701/5308416],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 2089/6635520],
[[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 47/2654208],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 7147/15925248],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 239/7962624],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 153169/955514880],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 79/1990656],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 181/5308416],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 1/27648],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 143/5308416],
[[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 89/3870720],
[[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 1/53760],
[[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 289/11059200],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 17/163840],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 11/81920],
[[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 2059/132710400],
[[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 13/516096],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 199/2580480],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 2141/26542080],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 2183/24883200],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1265/16515072],
[[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 8705/99090432],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 1237/15482880],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 29/552960],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 12137/29491200],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 8611/11059200],
[[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 19/1036800],
[[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 1465/12386304],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 7103/53084160],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 15433/35389440],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 6719/33177600],
[[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 11/1327104],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 58403/88473600],
[[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 173/6635520],
[[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 7/368640],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 967/5529600],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 7353841/6370099200],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 94037/353894400],
[[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 487/6635520],
[[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 23/1935360],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 7/110592],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 13/245760],
[[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 5/1032192],
[[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 1/1612800],
[[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 97/3870720],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 1321/30965760],
[[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 379/7372800],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 17957/59719680],
[[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 1079/297271296],
[[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 59513/2601123840],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 21367/1415577600],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 121801/185794560],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 719629/7431782400],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 53383/557383680],
[[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 143/51609600],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 1325389/2972712960],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 149/5529600],
[[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 13/14155776],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 509/25804800],
[[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 3601/495452160],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 331/10616832],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 7151/185794560],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 41371/265420800],
[[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 761/212336640],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 299/870912],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 44101/3963617280],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 17/2764800],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 82439/530841600],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 8641/1061683200],
[[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 373/46448640],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 1303/33177600],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 22769/1114767360],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 1/147456],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 228899/9909043200],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 6439/61931520],
[[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 871/82575360],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 143237/1734082560],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 115763/990904320],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 182569/743178240],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 142391/1857945600],
[[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 6151/5573836800],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 253/7372800],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 108109/283115520],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 2042059/5945425920],
[[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 71/13271040],
[[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 587/11059200],
[[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 40739/1238630400],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 5659/19818086400],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 15149513/133772083200],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 56837/23781703680],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 148349/11147673600],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 56456149/713451110400],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 16123/24772608000],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 60709/22295347200],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 119453/4459069440],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 143581/13377208320],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 71/117964800],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 147611/5945425920],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 399733/3567255552],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 14298989/2140353331200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1/6400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 17/301056],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 11/737280],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 17/460800],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 421/3932160],
[[[1, 7], [2, 2], [3, 1], [4, 3], [16, 1]], 11/737280],
[[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 71/4128768],
[[[1, 7], [2, 2], [3, 1], [4, 4], [14, 1]], 17/15482880],
[[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 23/11796480],
[[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 719/70778880],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 11/57600],
[[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 17/216000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 1/112896],
[[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 1/1290240],
[[[1, 7], [2, 2], [3, 1], [8, 2], [14, 1]], 1/645120],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 19/184320],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 55/589824],
[[[1, 7], [2, 2], [3, 2], [4, 2], [16, 1]], 1/73728],
[[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/43008],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 23/1474560],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 11/7077888],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 187/3538944],
[[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 1/1179648],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 1/460800],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/57600],
[[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 551/9216000],
[[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 1/147456],
[[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 1/16128],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 29/276480],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 1/221184],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 1/129024],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 1/663552],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1/147456],
[[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 35/3538944],
[[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 17/241920],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 47/518400],
[[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 1/110592],
[[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 1/48384],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 41/1492992],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 1/884736],
[[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/1327104],
[[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 7/414720],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 29/134400],
[[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 7/432000],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/430080],
[[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 1/3440640],
[[[1, 7], [2, 2], [4, 1], [8, 2], [14, 1]], 1/688128],
[[[1, 7], [2, 2], [4, 1], [14, 1], [16, 1]], 29/18063360],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 431/4915200],
[[[1, 7], [2, 2], [4, 2], [5, 1], [16, 1]], 1/61440],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 1/2073600],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 79/1843200],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 1/19200],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 5/1769472],
[[[1, 7], [2, 2], [4, 2], [6, 2], [10, 2]], 1/33177600],
[[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 53/1720320],
[[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 221/5898240],
[[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 9/1638400],
[[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 17/2211840],
[[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 3/71680],
[[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 7/2764800],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 19/1179648],
[[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 41/13762560],
[[[1, 7], [2, 2], [4, 3], [8, 1], [14, 1]], 2053/433520640],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 121/2949120],
[[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/245760],
[[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 2], [4, 4], [6, 1], [7, 1]], 1/1032192],
[[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 1/491520],
[[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 5/294912],
[[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 1/107520],
[[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/50400],
[[[1, 7], [2, 2], [7, 1], [8, 1], [14, 1]], 1/40960],
[[[1, 7], [2, 2], [7, 1], [10, 1], [14, 1]], 1/537600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 6823/22118400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/11943936],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 10367/23592960],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/921600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 299/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 59/15925248],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 3791/30965760],
[[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 737/20643840],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 1879/15728640],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 97/3538944],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 123041/212336640],
[[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 983/66355200],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 11/221184],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 11513/212336640],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 11/921600],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 49/432000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 31/518400],
[[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 49/460800],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 17/230400],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 23/2211840],
[[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 7/8294400],
[[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 1/387072],
[[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 1/331776],
[[[1, 7], [2, 4], [3, 1], [6, 4], [10, 1]], 1/829440],
[[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 89/516096],
[[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 17/1382400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 32741/110592000],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1/497664],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 301/5898240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 1/147456],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 881/13271040],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 1705/12386304],
[[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 31/1032192],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 1139/7372800],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 2249/8847360],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 6697/17694720],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 7/368640],
[[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 221/829440],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 1/23040],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 53/430080],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 383/1382400],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 47/1105920],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 31/290304],
[[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 1/96768],
[[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 19/663552],
[[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 23/430080],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 37/248832],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 5/72576],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 3617/26542080],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 4321/9953280],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 101/884736],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 391/1990656],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 13/62208],
[[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 587/8294400],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 1/13824],
[[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/32256],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 73/663552],
[[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1/17280],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 73/1244160],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 23/124416],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 41/995328],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 307/11943936],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1/11520],
[[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 11/331776],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 5/1492992],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 129/1638400],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 41/768000],
[[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 1/92160],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 7/1036800],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 461/2764800],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 139/460800],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 1/73728],
[[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 67/66355200],
[[[1, 7], [2, 4], [4, 1], [6, 2], [16, 1]], 89/30965760],
[[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 1/2322432],
[[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 7/7962624],
[[[1, 7], [2, 4], [4, 1], [6, 4], [10, 1]], 1/4976640],
[[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 199/1032192],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/307200],
[[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 377/11796480],
[[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 19/737280],
[[[1, 7], [2, 4], [4, 1], [10, 1], [16, 1]], 743/77414400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 2627/10321920],
[[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 1/46080],
[[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 709/8294400],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 41689/495452160],
[[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 17/6635520],
[[[1, 7], [2, 4], [4, 2], [6, 1], [16, 1]], 1/69120],
[[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 11/3317760],
[[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 1/331776],
[[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 7/884736],
[[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 7/4976640],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 853/4128768],
[[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 1/258048],
[[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 467/6881280],
[[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 17/3096576],
[[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 17/1935360],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 11/1658880],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 48269/88473600],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 73/294912],
[[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 1/15360],
[[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 133/2949120],
[[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 5/774144],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 41807/1486356480],
[[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 23/6635520],
[[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 1/331776],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 260789/3715891200],
[[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 11/196608],
[[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 29/1105920],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 20437/212336640],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 8101/1061683200],
[[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 1/184320],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 17/1728000],
[[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 1/241920],
[[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 29/645120],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1/107520],
[[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 17/806400],
[[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 7/691200],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 1/14400],
[[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 143/2580480],
[[[1, 7], [2, 4], [6, 1], [8, 1], [10, 2]], 1/1843200],
[[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 83/44236800],
[[[1, 7], [2, 4], [6, 2], [8, 1], [14, 1]], 1/3096576],
[[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/3870720],
[[[1, 7], [2, 4], [6, 3], [8, 1], [10, 1]], 1/6635520],
[[[1, 7], [2, 4], [8, 1], [10, 1], [14, 1]], 1/860160],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 11/81920],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 143/5308416],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 17/163840],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 289/11059200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 2059/132710400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 153169/955514880],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 7103/53084160],
[[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 1465/12386304],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 94037/353894400],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 2501/4423680],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 7353841/6370099200],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 967/5529600],
[[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 487/6635520],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 6909353/8493465600],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 1/27648],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 1321/30965760],
[[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 1/1612800],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 211/2073600],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 7547/176947200],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 11/414720],
[[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 79/1161216],
[[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 5/165888],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 181/5308416],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 79/1990656],
[[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 97/3870720],
[[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 5/1032192],
[[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 23/1935360],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 7147/15925248],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 199/2580480],
[[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 13/516096],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 6719/33177600],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 95261/66355200],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 15433/35389440],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 29/552960],
[[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 11/1327104],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 34423/35389440],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 2089/6635520],
[[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 379/7372800],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 7/110592],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 331/4644864],
[[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 127/1548288],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 701/5308416],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 1237/6635520],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 2183/24883200],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 177413/238878720],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 2141/26542080],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 519/1310720],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 107/829440],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 5029/79626240],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 7/138240],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 3625/47775744],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 1237/15482880],
[[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 2873/33177600],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 2609/35389440],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 427/16588800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 3953/309657600],
[[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 1/55296],
[[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 401/18579456],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 239/7962624],
[[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 47/2654208],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 8705/99090432],
[[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1265/16515072],
[[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 89/3870720],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 37/884736],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 58403/88473600],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 8611/11059200],
[[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 7/368640],
[[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 24679/185794560],
[[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 18427/371589120],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 5369/26542080],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 2449/44236800],
[[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 31/4976640],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 12137/29491200],
[[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 173/6635520],
[[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 19/1036800],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 2827/13271040],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 10620647/14863564800],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 21181/212336640],
[[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 1/20736],
[[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 121/3870720],
[[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 61/2073600],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 13/245760],
[[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 1/172032],
[[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 1/1612800],
[[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 31/3096576],
[[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 281/30965760],
[[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 61/4423680],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 2353/8847360],
[[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 7571/371589120],
[[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 449/11612160],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 12991/157286400],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 349409/398131200],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 1770119/4954521600],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 7169/44236800],
[[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 3953/464486400],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 1047527/1061683200],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 221/2764800],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/110592],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 4853/77414400],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 697/26542080],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 29411/743178240],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 13/245760],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 4223/35389440],
[[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 23/4423680],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 2789/88473600],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 135923/176947200],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 1277/23592960],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 41/2211840],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 1023461/1857945600],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 5993/132710400],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 901/26542080],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 2867/33177600],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 54907/477757440],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 11/552960],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 349/4423680],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 21041/88473600],
[[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 71/2211840],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 20803/371589120],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 6415/56623104],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 10933/88473600],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 80519/707788800],
[[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 61753/26011238400],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 5387/44236800],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 16362293/29727129600],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 1387843/5945425920],
[[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 2059/199065600],
[[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 2863/33177600],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 571/22118400],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 36001/8493465600],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 714071/2972712960],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 409543/23781703680],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 353161/11147673600],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 285645949/1070176665600],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 169313/24772608000],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 7979/849346560],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 38653/825753600],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 5430329/89181388800],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 613/70778880],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 1086397/17836277760],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 10728959/89181388800],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 370109/14863564800],
[[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 19/1474560],
[[[1, 7], [3, 1], [4, 2], [8, 2], [12, 1]], 1/276480],
[[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/107520],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/28800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 5/301056],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 1/737280],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/122880],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 79/11796480],
[[[1, 8], [2, 1], [3, 1], [4, 3], [16, 1]], 1/737280],
[[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 11/20643840],
[[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/2359296],
[[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 79/70778880],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 349/4032000],
[[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 551/36864000],
[[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/114688],
[[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 1/1228800],
[[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 91/9216000],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 19/460800],
[[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 1/193536],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 17/2211840],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/884736],
[[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/3538944],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1/23040],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/43200],
[[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 1/193536],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 7/1658880],
[[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 1/2654208],
[[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 1/3981312],
[[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/207360],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/22400],
[[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/432000],
[[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/9031680],
[[[1, 8], [2, 1], [4, 1], [14, 1], [16, 1]], 1/18063360],
[[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 1/1843200],
[[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 61/16515072],
[[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 29/30965760],
[[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/122880],
[[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/2764800],
[[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 1/1179648],
[[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/13762560],
[[[1, 8], [2, 1], [4, 3], [8, 1], [14, 1]], 107/433520640],
[[[1, 8], [2, 1], [7, 1], [8, 1], [14, 1]], 1/860160],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 4499/18432000],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 3539/23592960],
[[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 13/737280],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 2287/30965760],
[[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 11/2949120],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 131/3686400],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 31/39813120],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 2653/35389440],
[[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 17/22118400],
[[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 11/1105920],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1363/212336640],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 271/103219200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 1/144000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 1/86400],
[[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 583/9216000],
[[[1, 8], [2, 3], [3, 1], [6, 2], [8, 2]], 1/3317760],
[[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 13/286720],
[[[1, 8], [2, 3], [3, 1], [8, 2], [10, 1]], 1/921600],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 36967/110592000],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 17/1474560],
[[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1/884736],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 11/9953280],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 29/245760],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 2459/22118400],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 23/983040],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 27803/212336640],
[[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 1/110592],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 47/1966080],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 929/6451200],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 2789/13824000],
[[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 5/442368],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 1/96768],
[[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 1/221184],
[[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 11/344064],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/82944],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 25/331776],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 4607/33177600],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 2369/39813120],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 247/4423680],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 2143/26542080],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 7/138240],
[[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 199/3686400],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 61/1161216],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 7/221184],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 383/4976640],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 97/1492992],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 79/2654208],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 41/1990656],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 193/2488320],
[[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 1/62208],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 5/1492992],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 179/25804800],
[[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1/768000],
[[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 1/737280],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/1036800],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 143/2304000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 19/460800],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1/3538944],
[[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 1/66355200],
[[[1, 8], [2, 3], [4, 1], [6, 2], [16, 1]], 1/3096576],
[[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 17/573440],
[[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 89/11796480],
[[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 1/983040],
[[[1, 8], [2, 3], [4, 1], [10, 1], [16, 1]], 11/9676800],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 4373/25804800],
[[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 7/230400],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 1265/99090432],
[[[1, 8], [2, 3], [4, 2], [6, 1], [10, 2]], 1/11059200],
[[[1, 8], [2, 3], [4, 2], [6, 1], [16, 1]], 29/30965760],
[[[1, 8], [2, 3], [4, 2], [6, 2], [7, 1]], 29/325140480],
[[[1, 8], [2, 3], [4, 2], [6, 2], [14, 1]], 1/18579456],
[[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 1/2654208],
[[[1, 8], [2, 3], [4, 2], [6, 3], [10, 1]], 1/39813120],
[[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 47/2949120],
[[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 79/16056320],
[[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 1/5160960],
[[[1, 8], [2, 3], [4, 2], [12, 1], [14, 1]], 29/27095040],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 1/3317760],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 16991/176947200],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 229/7372800],
[[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 1/92160],
[[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 397/61931520],
[[[1, 8], [2, 3], [4, 3], [6, 1], [14, 1]], 1/1548288],
[[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 137/46448640],
[[[1, 8], [2, 3], [4, 3], [6, 2], [10, 1]], 1/3317760],
[[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 11747/1857945600],
[[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 23/1769472],
[[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 1/442368],
[[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 193/26542080],
[[[1, 8], [2, 3], [4, 4], [6, 1], [10, 1]], 1423/3715891200],
[[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 29/24192000],
[[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 221/12902400],
[[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 29/11289600],
[[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 1/691200],
[[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 23/2580480],
[[[1, 8], [2, 3], [6, 1], [8, 2], [10, 1]], 29/154828800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 16709/55296000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 209/47775744],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 29/483840],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/737280],
[[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 71/8847360],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 50419/2229534720],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 23993/123863040],
[[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 107/2949120],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 22891/70778880],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 14123/106168320],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 319679/424673280],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 1909/44236800],
[[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 299/6635520],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 1435151/5096079360],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1/138240],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 26087/309657600],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 1/6912],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 12449/743178240],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/691200],
[[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 421/23224320],
[[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 25/4644864],
[[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 13/1769472],
[[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 23/4976640],
[[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 13/483840],
[[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 1/1032192],
[[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/1290240],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 307/2949120],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 713/5160960],
[[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 5/516096],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 5561/14745600],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 172201/318504960],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 959/2359296],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 31/1474560],
[[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 1/221184],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 11659/17694720],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 2393/11059200],
[[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 569/7372800],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 1/18432],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 649/7741440],
[[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 41/1290240],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 533/8847360],
[[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 403/11059200],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 6787/33177600],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 39877/79626240],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 2783/26542080],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 44833/106168320],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 5053/24883200],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 101/1769472],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 1/46080],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 26771/238878720],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 9733/77414400],
[[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 1/161280],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 3119/33177600],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 3859/247726080],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 59/33177600],
[[[1, 8], [2, 5], [4, 1], [6, 1], [16, 1]], 143/34406400],
[[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 1/362880],
[[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 23/9289728],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 23/5308416],
[[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 29/19906560],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 31183/693633024],
[[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 433/16515072],
[[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 41/15482880],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 31/2764800],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 16549/41287680],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 43/147456],
[[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 1/138240],
[[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 76133/1300561920],
[[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 727/74317824],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 2257/61931520],
[[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 77/10616832],
[[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 89/46448640],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 16267/206438400],
[[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 2251/185794560],
[[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 743/116121600],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 3151/33177600],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 96049/550502400],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 19607/1061683200],
[[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 1/103680],
[[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 29/967680],
[[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 89/19353600],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 19/737280],
[[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 17/7741440],
[[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 1/1032192],
[[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 73/123863040],
[[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 1/1474560],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 54907/477757440],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 20803/371589120],
[[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 71/2211840],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 1387843/5945425920],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 1023461/1857945600],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 16362293/29727129600],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 5387/44236800],
[[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 2059/199065600],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 1047527/1061683200],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 2867/33177600],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 571/22118400],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 2863/33177600],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 29411/743178240],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 697/26542080],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 901/26542080],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 5993/132710400],
[[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 10933/88473600],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 135923/176947200],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 6415/56623104],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 11/552960],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 349409/398131200],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 4223/35389440],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 13/245760],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 221/2764800],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 2353/8847360],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 41/2211840],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 80519/707788800],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 21041/88473600],
[[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 449/11612160],
[[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 7571/371589120],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 1277/23592960],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 2789/88473600],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 349/4423680],
[[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 61753/26011238400],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 7169/44236800],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 1770119/4954521600],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 12991/157286400],
[[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 3953/464486400],
[[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 23/4423680],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 4853/77414400],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/110592],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 14021/566231040],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 13018141/44590694400],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 1320829/23781703680],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 11323/265420800],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 10542589/20808990720],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 11713/424673280],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 52441/2972712960],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 52151/1061683200],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 2794531/14863564800],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 97/3276800],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 46271/566231040],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 2203027/29727129600],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 975209/15288238080],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 697/12288000],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 193/23592960],
[[[1, 9], [2, 2], [3, 1], [4, 2], [16, 1]], 1/737280],
[[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 5/458752],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 1/147456],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 241/35389440],
[[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 1/1105920],
[[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 1/9437184],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 19/103219200],
[[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 509/32256000],
[[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 1/368640],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1141/7372800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 1/1966080],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 167/4128768],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 119/4915200],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 1/6635520],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 3/1310720],
[[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 47/26542080],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 541/6451200],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 887/13824000],
[[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 1/1105920],
[[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 1/122880],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 1/24192],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 2467/44236800],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 115/23887872],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 13/1474560],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 151/26542080],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 1/138240],
[[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 299/16588800],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 11/580608],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 1/20480],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/497664],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 25/2654208],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 29/3981312],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 43/1244160],
[[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/331776],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 5/2985984],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 1/11468800],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 1/126000],
[[[1, 9], [2, 2], [4, 1], [6, 2], [16, 1]], 1/92897280],
[[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 3/1146880],
[[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 11/15728640],
[[[1, 9], [2, 2], [4, 1], [10, 1], [16, 1]], 1/25804800],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 1577/51609600],
[[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 1/276480],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 7/23592960],
[[[1, 9], [2, 2], [4, 2], [6, 1], [16, 1]], 1/30965760],
[[[1, 9], [2, 2], [4, 2], [6, 2], [7, 1]], 1/325140480],
[[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 67/144506880],
[[[1, 9], [2, 2], [4, 2], [8, 1], [14, 1]], 43/289013760],
[[[1, 9], [2, 2], [4, 2], [12, 1], [14, 1]], 1/27095040],
[[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 61/68812800],
[[[1, 9], [2, 2], [4, 3], [6, 1], [7, 1]], 29/433520640],
[[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 107/2229534720],
[[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 107/619315200],
[[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 29/24772608],
[[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 1/4423680],
[[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 121/212336640],
[[[1, 9], [2, 2], [4, 4], [6, 1], [10, 1]], 107/3715891200],
[[[1, 9], [2, 2], [5, 1], [6, 1], [10, 2]], 1/24192000],
[[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 113/45158400],
[[[1, 9], [2, 2], [5, 1], [10, 1], [14, 1]], 1/11289600],
[[[1, 9], [2, 2], [6, 1], [7, 1], [14, 1]], 1/2580480],
[[[1, 9], [2, 2], [6, 1], [8, 2], [10, 1]], 1/154828800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 122141/387072000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/3981312],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 443/27525120],
[[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 1/589824],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 145/74317824],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 17599/123863040],
[[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 23/6881280],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 440137/2477260800],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 1403/148635648],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 164963/990904320],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 77/29491200],
[[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 13/1105920],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 255833/5945425920],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 1219/14745600],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 7/76800],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 781/247726080],
[[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 37/11612160],
[[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 1/3096576],
[[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/5308416],
[[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/6635520],
[[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 503/36126720],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 683/79626240],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 683/5160960],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 7631/22118400],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 151/1835008],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 23/147456],
[[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 1/1327104],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 15209/106168320],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 653/11059200],
[[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 8587/154828800],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 1/61440],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 397/7741440],
[[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 1/368640],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 289/26542080],
[[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 23/11059200],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 24397/99532800],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 9983/79626240],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 5507/79626240],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 189313/955514880],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 467/2764800],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 137/5308416],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 4303/47775744],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 50597/541900800],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 6247/165888000],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 1/917504],
[[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/22118400],
[[[1, 9], [2, 4], [4, 1], [6, 1], [16, 1]], 89/185794560],
[[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 29/162570240],
[[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/37158912],
[[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/10616832],
[[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/79626240],
[[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 2903/247726080],
[[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 1327/462422016],
[[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 1/10321920],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 233/278691840],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 695/8257536],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 1/24576],
[[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 1/1105920],
[[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 2203/185794560],
[[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 19/24772608],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 1331/495452160],
[[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 7/17694720],
[[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 1/4644864],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 6157/1238630400],
[[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 71/26542080],
[[[1, 9], [2, 4], [4, 2], [10, 1], [12, 1]], 11/14515200],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 5587/309657600],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 130673/8918138880],
[[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 3299/2477260800],
[[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 29/46448640],
[[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 221/19353600],
[[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 1/1935360],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 7/1228800],
[[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 29/108380160],
[[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1/123863040],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 22769/1114767360],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 143237/1734082560],
[[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 871/82575360],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 2042059/5945425920],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 82439/530841600],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 108109/283115520],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 253/7372800],
[[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 71/13271040],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 1325389/2972712960],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 1303/33177600],
[[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 40739/1238630400],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 587/11059200],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 331/10616832],
[[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 3601/495452160],
[[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 373/46448640],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 8641/1061683200],
[[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 182569/743178240],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 299/870912],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 115763/990904320],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 1/147456],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 121801/185794560],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 41371/265420800],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 7151/185794560],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 149/5529600],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 17957/59719680],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 17/2764800],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 142391/1857945600],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 6439/61931520],
[[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 59513/2601123840],
[[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 1079/297271296],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 44101/3963617280],
[[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 761/212336640],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 228899/9909043200],
[[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 6151/5573836800],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 53383/557383680],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 719629/7431782400],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 21367/1415577600],
[[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 143/51609600],
[[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 1/345600],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 509/25804800],
[[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 13/14155776],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 2203027/29727129600],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 2794531/14863564800],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 46271/566231040],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 97/3276800],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 10542589/20808990720],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 52151/1061683200],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 52441/2972712960],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 11713/424673280],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 13018141/44590694400],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 11323/265420800],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 1320829/23781703680],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 14021/566231040],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 530157191/4994157772800],
[[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 19/8601600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 509/129024000],
[[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/983040],
[[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 271/1651507200],
[[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 29/21504000],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 823/36864000],
[[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 1/491520],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 49/14745600],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 1/7864320],
[[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 1/35389440],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 29/1290240],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 49/6912000],
[[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 1/1720320],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 1/110592],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 299/66355200],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 1/13271040],
[[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 1/19906560],
[[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 13/6635520],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/387072],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 1/82944],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 1/1327104],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/1327104],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 1/165888],
[[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/2985984],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 1/8064000],
[[[1, 10], [2, 1], [4, 1], [7, 1], [14, 1]], 1/10321920],
[[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/47185920],
[[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 113/180633600],
[[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 1/289013760],
[[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/45875200],
[[[1, 10], [2, 1], [4, 3], [6, 1], [7, 1]], 1/433520640],
[[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 1/24772608],
[[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/10035200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 1429/9216000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 289/412876800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 1/8847360],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 41/1114767360],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 2675/57802752],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 14641/353894400],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 169/371589120],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 42589/2972712960],
[[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 1/1105920],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 8437/3963617280],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 3053/72253440],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 631/24192000],
[[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 61/247726080],
[[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 1/7741440],
[[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 41/12042240],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 13/26542080],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 229/3440640],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 43847/309657600],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 9127/2477260800],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 25/1376256],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 4057/247726080],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 61/11059200],
[[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 1007/51609600],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 1/64512],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/1769472],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 30247/199065600],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 703/47775744],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 289/13271040],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 2177/63700992],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 737/9953280],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 421/79626240],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 8909/238878720],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 67/2150400],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 1331/232243200],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 1/123863040],
[[[1, 10], [2, 3], [4, 1], [6, 1], [16, 1]], 1/61931520],
[[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 1/162570240],
[[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 25/16515072],
[[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 13/154140672],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 1/43545600],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 149/24772608],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 247/103219200],
[[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 73/86704128],
[[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 43/1486356480],
[[[1, 10], [2, 3], [4, 2], [6, 2], [12, 1]], 1/139345920],
[[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 43/412876800],
[[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 31/123863040],
[[[1, 10], [2, 3], [4, 2], [10, 1], [12, 1]], 1/38707200],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 823/464486400],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 2377/2972712960],
[[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 121/2477260800],
[[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 1/46448640],
[[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 113/67737600],
[[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 1/58060800],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/3686400],
[[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 1/108380160],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 265/148635648],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 7811/115605504],
[[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 71/82575360],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 32081/117964800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 125473/6688604160],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 128567/1101004800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 23/9830400],
[[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 1/884736],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 286649/2972712960],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 73/8294400],
[[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 79297/3715891200],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 49/3686400],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 25679/1734082560],
[[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 461/578027520],
[[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 1/1376256],
[[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 247/412876800],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 109157/412876800],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 4381/61931520],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 9791/157286400],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 124141/530841600],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 16327/148635648],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 1/69120],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 7/3686400],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 202471/1114767360],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 107/139345920],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 53891/2123366400],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 857/44236800],
[[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 19841/2601123840],
[[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 1/4718592],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 4691/5945425920],
[[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 5/42467328],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 911/412876800],
[[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 89/371589120],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 19021/696729600],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 135461/11890851840],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 3217/2831155200],
[[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 89/278691840],
[[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 13/18579456],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 661/232243200],
[[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/70778880],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 10728959/89181388800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 5430329/89181388800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 1086397/17836277760],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 613/70778880],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 285645949/1070176665600],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 38653/825753600],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 7979/849346560],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 169313/24772608000],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 714071/2972712960],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 353161/11147673600],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 409543/23781703680],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 36001/8493465600],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 530157191/4994157772800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 293/8601600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 1/103219200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 1373/289013760],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 439/103219200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 1/743178240],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 29/275251200],
[[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 403/5945425920],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 1307/120422400],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 73/24192000],
[[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 1/123863040],
[[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 31/90316800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 1/64512],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 211/10321920],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 2113/22295347200],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 887/825753600],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 817/1238630400],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1/11059200],
[[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 343/110592000],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 1/516096],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 49/1105920],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 1/4423680],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 71/26542080],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 653/318504960],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 97/6220800],
[[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 1/2949120],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 1507/238878720],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 109/25804800],
[[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 317/1161216000],
[[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 767/11560550400],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 1/1393459200],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 209/1238630400],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 1/11468800],
[[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 13/433520640],
[[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/123863040],
[[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 1/58060800],
[[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/15052800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 59/2229534720],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 130939/4335206400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 844379/7431782400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 26359/22295347200],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 88177/5945425920],
[[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 1/13271040],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 884599/89181388800],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 127/116121600],
[[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 971/132710400],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 1/1228800],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 1691/433520640],
[[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 11/385351680],
[[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 1/185794560],
[[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 11/825753600],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 1450081/9289728000],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1837/275251200],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 129071/7431782400],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 519257/11147673600],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 13621/309657600],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 253/103219200],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1027031/16721510400],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 1/21772800],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 1177/232243200],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 731/412876800],
[[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 691/650280960],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 13/792723456],
[[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 13/220200960],
[[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 11/495452160],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 11237/2786918400],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 28601/59454259200],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 73/2831155200],
[[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 1/92897280],
[[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 1/14515200],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1/8601600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 399733/3567255552],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 143581/13377208320],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 147611/5945425920],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 71/117964800],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 56456149/713451110400],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 119453/4459069440],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 60709/22295347200],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 16123/24772608000],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 15149513/133772083200],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 148349/11147673600],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 56837/23781703680],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 5659/19818086400],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 975209/15288238080],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 137/51609600],
[[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 31/361267200],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 1/3440640],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/412876800],
[[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 1/3963617280],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 8917/7225344000],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/12096000],
[[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 1/90316800],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 23/20643840],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 343/442368000],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 11/2477260800],
[[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 11/3715891200],
[[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 131/774144000],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1/15482880],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 581/132710400],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 1/10616832],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 1/11796480],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 13/11059200],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 17/238878720],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 59/361267200],
[[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 11/1161216000],
[[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 1/1651507200],
[[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 1/1238630400],
[[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1/1857945600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 29803/4335206400],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 6515953/297271296000],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 221/11147673600],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 3467/3963617280],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 2041/4246732800],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1/25804800],
[[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 667/516096000],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 1663/3468165120],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 452177/9289728000],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 6353/22295347200],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 10229/3963617280],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 833/212336640],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 338843/37158912000],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 29/132710400],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 386359/33443020800],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 1/696729600],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 26153/49545216000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 73/1238630400],
[[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 67/1083801600],
[[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 1/1486356480],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 79/309657600],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 23/9909043200],
[[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 1/464486400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 3020651/49545216000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 86353/89181388800],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 349043/59454259200],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 136763/9512681472],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 41953/4459069440],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 12461/29727129600],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 11/550502400],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 4486189/133772083200],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 17131/5573836800],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 9001/71345111040],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 101/19818086400],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 370109/14863564800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 3961/5780275200],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 53969/33030144000],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 1/16721510400],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 439/19818086400],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 29/3715891200],
[[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 3937/37158912000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 211/8670412800],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 5947/825753600],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 1/232243200],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 227/1415577600],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 379/3715891200],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 15947/18579456000],
[[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 1/154828800],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 25847/33443020800],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 19/884736000],
[[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 1/530841600],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 1/123863040],
[[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/29727129600],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 16759541/891813888000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 373/8918138880],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 317993/356725555200],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 3074243/2140353331200],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 617/330301440],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 229/5945425920],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 1602319/267544166400],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 9659/27869184000],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 11/3303014400],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 14298989/2140353331200],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 43/1926758400],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 3937/148635648000],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 1/14863564800],
[[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 1/22295347200],
[[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 113/37158912000],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/2477260800],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 4757/12386304000],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 53/19818086400],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/619315200],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 317/12386304000],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 1/209018880],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 11/49545216000],
[[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/26011238400],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 2785723/891813888000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 83/66886041600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 1741/23781703680],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 45329/713451110400],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 6097/31850496000],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 83/44590694400],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 8881/16721510400],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 137/7431782400],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 11/138726604800],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 2458823/2140353331200],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 1651/6606028800],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/44590694400],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 1567/594542592000],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 223/178362777600],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 1997/222953472000],
[[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 1/29727129600],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 23491/1337720832000],
[[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 421/780337152000],
[[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1/1248539443200],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 52921/468202291200],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 17/2378170368],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 17/594542592000],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/118908518400],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 11/74317824000],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 73/668860416000],
[[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/97542144000],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 107227/18728091648000],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 9839/74912366592000],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 19/18728091648000],
[[[2, 1], [4, 2], [8, 2], [12, 1], [20, 1]], 1/3840],
[[[2, 3], [4, 1], [8, 2], [10, 1], [16, 1]], 1/2560],
[[[2, 3], [4, 2], [8, 1], [14, 1], [16, 1]], 1/3584],
[[[2, 3], [4, 2], [8, 2], [12, 1], [14, 1]], 1/5376],
[[[2, 3], [4, 4], [6, 1], [8, 1], [16, 1]], 1/24576],
[[[2, 3], [4, 4], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/12288],
[[[2, 5], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200],
[[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/9216],
[[[2, 5], [4, 2], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[2, 5], [4, 2], [8, 2], [10, 1], [12, 1]], 1/23040],
[[[2, 5], [4, 4], [6, 1], [10, 1], [14, 1]], 1/860160],
[[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 19/1474560],
[[[2, 7], [4, 2], [6, 1], [8, 2], [12, 1]], 1/276480],
[[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/107520],
[[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 19/8601600],
[[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/6144],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [12, 2]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [8, 1]], 1/3870720],
[[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [12, 1]], 1/184320],
[[[1, 1], [2, 2], [4, 1], [7, 1], [14, 1], [16, 1]], 1/3136],
[[[1, 1], [2, 2], [4, 1], [8, 1], [16, 1], [20, 1]], 1/320],
[[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [16, 1]], 1/2560],
[[[1, 1], [2, 2], [4, 1], [12, 1], [16, 1], [20, 1]], 1/960],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 1], [2, 2], [4, 2], [8, 1], [14, 1], [16, 1]], 1/3584],
[[[1, 1], [2, 2], [4, 2], [8, 2], [12, 1], [14, 1]], 1/5376],
[[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 1], [2, 2], [4, 3], [7, 1], [8, 1], [14, 1]], 1/37632],
[[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/1536],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [20, 1]], 13/3840],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/24576],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 3]], 1/61440],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 3]], 1/108000],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 1], [14, 2]], 1/23520],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 2]], 1/691200],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 5/147456],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 1/73728],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 1/4096],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [16, 1]], 1/16128],
[[[1, 1], [2, 4], [4, 1], [7, 1], [10, 1], [16, 1]], 1/13440],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 5/18432],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 2], [7, 1], [8, 1], [14, 1]], 1/14336],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 1/2048],
[[[1, 1], [2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 1], [2, 4], [4, 3], [6, 1], [7, 1], [14, 1]], 1/21504],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 7/16384],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 1], [2, 4], [4, 3], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 1], [2, 4], [4, 3], [7, 1], [8, 1], [10, 1]], 1/161280],
[[[1, 1], [2, 4], [4, 3], [8, 1], [10, 1], [14, 1]], 1/35840],
[[[1, 1], [2, 4], [4, 3], [8, 1], [12, 1], [14, 1]], 5/21504],
[[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/860160],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [10, 1]], 19/2949120],
[[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 1], [2, 4], [7, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 3]], 1/49152],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/108000],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/112896],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/103680],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [16, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/50400],
[[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [8, 2]], 1/368640],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/115200],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 1/147456],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 2]], 1/691200],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [14, 1]], 1/387072],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 5/165888],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [10, 1]], 1/829440],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 3], [10, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [14, 1]], 1/688128],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 1/1474560],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/294912],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [16, 1]], 1/614400],
[[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [16, 1]], 1/161280],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 3/22400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [14, 1]], 1/16128],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 1], [2, 6], [4, 1], [7, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/122880],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 199/1474560],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 11/276480],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 1/258048],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 1/552960],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/215040],
[[[1, 1], [2, 6], [4, 3], [6, 1], [7, 1], [8, 1]], 17/3870720],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 13/430080],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/122880],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 5/110592],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 1/18432],
[[[1, 1], [2, 6], [6, 1], [7, 1], [8, 1], [14, 1]], 1/10752],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [16, 1]], 1/38707200],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 91/13824000],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [16, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 1/290304],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/2949120],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 1/294912],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 1/258048],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/184320],
[[[1, 1], [2, 8], [3, 1], [4, 3], [5, 1], [8, 1]], 107/928972800],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [14, 1]], 1/3870720],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 29/6635520],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 1/1382400],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 11/2211840],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/2949120],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [14, 1]], 11/1290240],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 49/4608000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 7/2949120],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 1/258048],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 23/322560],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 1/110592],
[[[1, 1], [2, 8], [4, 1], [7, 1], [8, 1], [12, 1]], 1/27095040],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 1/2150400],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2580480],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 437/25804800],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 1/921600],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 19/9830400],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/221184],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 19/2150400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 29/32256000],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [16, 1]], 1/30965760],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 1/2580480],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 13/9953280],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/15052800],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/20643840],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 19/14745600],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 17/106168320],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 19/309657600],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/17694720],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/3225600],
[[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/12902400],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 1/10321920],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 373/25804800],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 13/7372800],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 19/206438400],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 1/135475200],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 131/1161216000],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/68812800],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 317/8257536000],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 113/55738368000],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/6144],
[[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [8, 2]], 1/92160],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [16, 1]], 1/24576],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [12, 2]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 1/3870720],
[[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [16, 1]], 1/2560],
[[[1, 2], [2, 1], [4, 1], [7, 1], [14, 1], [16, 1]], 1/3136],
[[[1, 2], [2, 1], [4, 1], [8, 1], [16, 1], [20, 1]], 1/320],
[[[1, 2], [2, 1], [4, 1], [12, 1], [16, 1], [20, 1]], 1/960],
[[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [16, 1]], 1/3584],
[[[1, 2], [2, 1], [4, 2], [7, 1], [8, 2], [12, 1]], 1/5376],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 2], [2, 1], [4, 3], [7, 1], [8, 1], [14, 1]], 1/37632],
[[[1, 2], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/1536],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 13/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 3]], 1/61440],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 2]], 1/19200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 3]], 1/108000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/4096],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [14, 2]], 1/23520],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [28, 1]], 1/672],
[[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [16, 1]], 1/5376],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 2]], 1/122880],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 2]], 1/691200],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 23/147456],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [14, 1]], 1/322560],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 19/73728],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 11/6912],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [20, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [14, 1]], 1/36864],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/36864],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 1/138240],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 677/4423680],
[[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [8, 2]], 1/53760],
[[[1, 2], [2, 3], [3, 1], [5, 1], [8, 2], [14, 1]], 1/26880],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 2]], 1/2250],
[[[1, 2], [2, 3], [3, 1], [5, 2], [10, 1], [14, 1]], 1/4200],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [16, 1]], 1/768],
[[[1, 2], [2, 3], [3, 2], [4, 1], [14, 1], [16, 1]], 1/16128],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 2], [6, 2]], 1/518400],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [10, 2]], 1/518400],
[[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [14, 1]], 1/193536],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 2]], 1/8960],
[[[1, 2], [2, 3], [4, 1], [5, 1], [14, 1], [16, 1]], 1/4480],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [10, 2]], 1/19200],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 5/12288],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [16, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [16, 1]], 1/3360],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 7/12800],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/460800],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [14, 1]], 23/100352],
[[[1, 2], [2, 3], [4, 2], [7, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 3], [4, 2], [7, 1], [12, 1], [14, 1]], 1/4704],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 9/10240],
[[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/384],
[[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 3], [4, 3], [6, 1], [7, 1], [14, 1]], 1/21504],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 9/16384],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 17/122880],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 3], [4, 3], [6, 2], [7, 1], [8, 1]], 5/193536],
[[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [10, 1]], 1/40320],
[[[1, 2], [2, 3], [4, 3], [8, 1], [10, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 5/21504],
[[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [8, 1]], 1/36864],
[[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [10, 1]], 1/322560],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 19/2949120],
[[[1, 2], [2, 3], [5, 1], [6, 1], [7, 1], [10, 2]], 1/4200],
[[[1, 2], [2, 3], [5, 1], [7, 1], [10, 1], [14, 1]], 3/2450],
[[[1, 2], [2, 3], [6, 1], [7, 1], [8, 2], [10, 1]], 1/26880],
[[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 3], [6, 1], [8, 2], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 3], [7, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 1/27000],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/37632],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 11/518400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [16, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/12600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 29/737280],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [16, 1]], 1/92160],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [8, 1]], 1/230400],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 17/345600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [16, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [7, 1]], 1/32256],
[[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [14, 1]], 5/129024],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 35/294912],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 1/30720],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [16, 1]], 1/23040],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 53/294912],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 1/172800],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [16, 1]], 1/24576],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/193536],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 7/110592],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 1/414720],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 1/80640],
[[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [6, 2]], 1/414720],
[[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [8, 1]], 7/4423680],
[[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [10, 1]], 1/1382400],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 13/344064],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 37/331776],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 13/737280],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 5/24576],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 7/1105920],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 19/2359296],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 7/294912],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 2]], 1/138240],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 2], [2, 5], [3, 1], [5, 1], [8, 2], [10, 1]], 1/115200],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/6300],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 1], [7, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 2], [8, 1]], 1/1382400],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/43200],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [16, 1]], 5/41472],
[[[1, 2], [2, 5], [3, 2], [4, 1], [10, 1], [16, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 2], [6, 1]], 1/2073600],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/110592],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 1/518400],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 19/290304],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 11/124416],
[[[1, 2], [2, 5], [3, 2], [4, 2], [10, 1], [14, 1]], 1/241920],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 161/1990656],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/829440],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 5/221184],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [16, 1]], 1/23040],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 7/9600],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [16, 1]], 7/204800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [16, 1]], 1/19200],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [16, 1]], 11/161280],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 11/67200],
[[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 61/460800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/6144],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/3840],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 13/122880],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/10240],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/3840],
[[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 13/43008],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 29/230400],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 95/147456],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 31/122880],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 5/55296],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [12, 1]], 1/24192],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [12, 1]], 1/64512],
[[[1, 2], [2, 5], [4, 2], [7, 1], [10, 1], [12, 1]], 1/20160],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 17/107520],
[[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 1/21504],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 49/921600],
[[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 43/967680],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 5/172032],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/28672],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/40960],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 5/55296],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [8, 1]], 1/61440],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 211/1474560],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 5/36864],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 5], [5, 1], [6, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/11520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 2]], 1/1474560],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [16, 1]], 29/38707200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 1/12288],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1631/13824000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [16, 1]], 1/23040],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1/72576],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 1/995328],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 7/622080],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1/691200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 23/2949120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [7, 1]], 1/7741440],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 3/65536],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 31/691200],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [16, 1]], 19/1105920],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [7, 1]], 1/215040],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/24192],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 151/1327104],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 11/276480],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/10368],
[[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [8, 1]], 1/516096],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/5160960],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 2053/928972800],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 269/15482880],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 229/4423680],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 9/409600],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 37/737280],
[[[1, 2], [2, 7], [3, 1], [4, 4], [5, 1], [6, 1]], 17/33177600],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 973/53084160],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 91/8847360],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 7/327680],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 2]], 1/1382400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 17/230400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/11520],
[[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 19/3456000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 1/73728],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/86400],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [16, 1]], 1/829440],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 1/96768],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/36864],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [6, 2]], 1/460800],
[[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [8, 1]], 1/1105920],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 1/2903040],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 1/110592],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 233/8294400],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/55296],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 17/19906560],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 1/552960],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [16, 1]], 1/230400],
[[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 37/430080],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 499/4608000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 13/327680],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 19/2457600],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 1/18432],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 13/64512],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 19/276480],
[[[1, 2], [2, 7], [4, 1], [7, 1], [8, 1], [12, 1]], 29/27095040],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 13/307200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [8, 1]], 41/5160960],
[[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [12, 1]], 1/241920],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 43/1290240],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 109/645120],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 127/1843200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 17/5529600],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 179/9830400],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 11/221184],
[[[1, 2], [2, 7], [5, 1], [6, 1], [7, 1], [10, 1]], 1/100800],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 437/6451200],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 1/655360],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1769/48384000],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [16, 1]], 1/1032192],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 1/40320],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 49/19906560],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 667/12441600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 1/108380160],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 113/67737600],
[[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [8, 1]], 43/619315200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [12, 1]], 1/58060800],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [7, 1]], 13/72253440],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 25/6193152],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 61/4423680],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 17/819200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 119/13271040],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/17203200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 1/46448640],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1693/495452160],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1741/309657600],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 1/655360],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 13/1843200],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 1/5160960],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 41/3225600],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 19/3686400],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/7741440],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 1/737280],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 19/5529600],
[[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [12, 1]], 1/139345920],
[[[1, 2], [2, 9], [3, 2], [4, 2], [5, 1], [6, 1]], 13/154828800],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1/884736],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 19/232243200],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/4423680],
[[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/5529600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 79/25804800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [12, 1]], 1/38707200],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 13/2064384],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 3187/25804800],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 27/819200],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/122880],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 1441/103219200],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1105920],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 1021/2167603200],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 127/1857945600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 6967/663552000],
[[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 1/464486400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 19/103219200],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 251/206438400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 137/1486356480],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 13/206438400],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/17203200],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/25804800],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 18517/8257536000],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 19/35672555520],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 1321/7962624000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 2]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [8, 1]], 1/24000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 5/12288],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [28, 1]], 1/672],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 2], [3, 1], [4, 2], [14, 1], [16, 1]], 1/5376],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 17/122880],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [8, 1]], 1/76800],
[[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 9/16384],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [10, 1]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [14, 1]], 1/322560],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 19/73728],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 11/6912],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [14, 1]], 1/36864],
[[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 19/2949120],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 677/4423680],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [8, 2]], 1/53760],
[[[1, 3], [2, 2], [3, 1], [5, 1], [8, 2], [14, 1]], 1/26880],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 2]], 1/2250],
[[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [8, 1]], 1/16800],
[[[1, 3], [2, 2], [3, 1], [5, 2], [10, 1], [14, 1]], 1/4200],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 1/768],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 3], [6, 1]], 1/108000],
[[[1, 3], [2, 2], [3, 2], [4, 1], [14, 1], [16, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [6, 2]], 1/518400],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/460800],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [10, 2]], 1/518400],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 2], [6, 1]], 1/691200],
[[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [14, 1]], 5/193536],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 1/36864],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [7, 2]], 1/23520],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 1/8960],
[[[1, 3], [2, 2], [4, 1], [5, 1], [14, 1], [16, 1]], 1/3360],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 3], [2, 2], [4, 1], [6, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [10, 2]], 1/19200],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/4096],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [10, 1]], 1/61440],
[[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [16, 1]], 1/16128],
[[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [16, 1]], 1/4480],
[[[1, 3], [2, 2], [4, 1], [8, 2], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 9/10240],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 7/12800],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 3], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 23/100352],
[[[1, 3], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 1/4704],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/2048],
[[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/384],
[[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [20, 1]], 1/1920],
[[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [8, 1]], 1/35840],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 23/147456],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 3], [2, 2], [4, 3], [6, 2], [7, 1], [8, 1]], 1/193536],
[[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [10, 1]], 1/53760],
[[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [12, 1]], 5/21504],
[[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [8, 1]], 1/36864],
[[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [10, 1]], 1/322560],
[[[1, 3], [2, 2], [5, 1], [6, 1], [7, 1], [10, 2]], 1/4200],
[[[1, 3], [2, 2], [5, 1], [7, 1], [8, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 2], [5, 1], [7, 1], [10, 1], [14, 1]], 3/2450],
[[[1, 3], [2, 2], [6, 1], [7, 1], [8, 2], [10, 1]], 1/26880],
[[[1, 3], [2, 2], [6, 1], [8, 2], [10, 1], [14, 1]], 1/53760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [7, 1]], 1/201600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 2]], 1/112896],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 31/49152],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/36000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 7/518400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [16, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [16, 1]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 43/245760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [16, 1]], 7/92160],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/172800],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 1/23040],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/23040],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 23/129024],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 143/294912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [16, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/1290240],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 1/115200],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 365/294912],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 11/6912],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 17/73728],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 1/960],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 31/387072],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/387072],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/829440],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 11/64512],
[[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 1/35840],
[[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 1/331776],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 29/2211840],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 1/345600],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/258048],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 83/2064384],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 11/82944],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 83/4423680],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 7/24576],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 7/276480],
[[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 7/2211840],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 2035/7077888],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 7/2211840],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 805/884736],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 2]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/2400],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 2], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 13/43200],
[[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 5/43008],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 13/172800],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 4], [3, 1], [7, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 7/259200],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [8, 1]], 31/1382400],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/18432],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 13/259200],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 5/13824],
[[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [16, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 7/2073600],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 7/55296],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/129600],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [16, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 19/290304],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 19/145152],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 37/311040],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 2], [4, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 4], [3, 2], [4, 2], [12, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 49/829440],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [8, 1]], 1/368640],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 17/193536],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 191/663552],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 13/207360],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 5/4608],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/103680],
[[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 1/552960],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 7/331776],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 1/1658880],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 23/221184],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 2]], 1/23040],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 11/43200],
[[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [8, 1]], 7/172800],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 2], [10, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 2], [6, 1]], 1/518400],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [16, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 2]], 19/622080],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/331776],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [16, 1]], 7/69120],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1792],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 3/20480],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [16, 1]], 13/57600],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [16, 1]], 5/32256],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/28800],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 11/92160],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 79/75264],
[[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1280],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 13/61440],
[[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [20, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [7, 1]], 1/80640],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 2], [5, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 19/43008],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/6144],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 131/147456],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/2560],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/258048],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/322560],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/552960],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [7, 1], [10, 1], [12, 1]], 1/5040],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 17/71680],
[[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 1/7168],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [7, 1]], 1/53760],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 19/829440],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1159/2764800],
[[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 163/774144],
[[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 5/172032],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/184320],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 7/368640],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 5/110592],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 13/368640],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 19/122880],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 5/36864],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/38400],
[[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 5/10752],
[[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 47/1474560],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [16, 1]], 17/2764800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [8, 1]], 1/307200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 1/57600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 59/221184],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 127/460800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 41/276480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/16128],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/48384],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/331776],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 5/36864],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 19/691200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 143/2949120],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [16, 1]], 1/46080],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/46080],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [7, 1]], 13/7741440],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/691200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1397/2211840],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 17/115200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 209/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 5/55296],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 131/442368],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/36864],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 41/5160960],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 13/552960],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 8821/265420800],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 11/307200],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 47/3096576],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 23/110592],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1871/3317760],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 7/30720],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 203/331776],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 43/552960],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 127/33177600],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 5989/26542080],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 127/2949120],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 563/2949120],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 2]], 67/2764800],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 31/76800],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/3840],
[[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [8, 1]], 1/1290240],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 239/3456000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/10800],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 11/184320],
[[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 5/24192],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/13824],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [7, 1]], 1/967680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 29/8294400],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 17/221184],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 1/16200],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [16, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/96768],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 25/145152],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 29/331776],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 7/31104],
[[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 7/345600],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 1/1161216],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 73/1451520],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 439/1327104],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 541/2764800],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 85/497664],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 1/331776],
[[[1, 3], [2, 6], [3, 2], [4, 2], [10, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 47/6635520],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 119/2654208],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 11/414720],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 5/49152],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 11/41472],
[[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/9216],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 1/207360],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [8, 1]], 1/414720],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 1/165888],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 3], [4, 2], [5, 1], [6, 1]], 1/2488320],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 1/331776],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 19/57600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [16, 1]], 17/345600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [8, 1]], 1/143360],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 25/43008],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 29/92160],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 89/589824],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 547/7372800],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 1/368640],
[[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 17/129024],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 37/276480],
[[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/10752],
[[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [12, 1]], 17/1935360],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 3/14336],
[[[1, 3], [2, 6], [4, 1], [8, 1], [12, 1], [14, 1]], 1/258048],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 1/322560],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 163/307200],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 1/28800],
[[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 167/1720320],
[[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [12, 1]], 11/241920],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 89/516096],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 31/129024],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/4096],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1613/16588800],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 53/184320],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 251/552960],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 31/221184],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 11/100800],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 97/645120],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/15482880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 631/17694720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 2983/13824000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 323/30965760],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 19/2580480],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 67/516096],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 109/737280],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 3577/16588800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/27648],
[[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/2064384],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 5/10838016],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 641/19353600],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/307200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 377/103219200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [12, 1]], 29/58060800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 101/36126720],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 4559/61931520],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 301/1474560],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 523/2949120],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 467/4423680],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 61/25804800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 29/46448640],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 137/44236800],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 128699/1486356480],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 3953/44236800],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 31/663552],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 167/1843200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 1/1032192],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 41/7741440],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 11/138240],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 263/5529600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 31/5529600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [8, 1]], 1/4423680],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/774144],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 41/11612160],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 283/6635520],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 803/8294400],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 1/4644864],
[[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 101/77414400],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 247/13271040],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 3631/232243200],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 239/39813120],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 1/2211840],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 101/16588800],
[[[1, 3], [2, 8], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1658880],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/331776],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 11/138240],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 131/3686400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [12, 1]], 11/14515200],
[[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 1/114688],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 583/10321920],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 8383/25804800],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 251/1474560],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1327104],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1105920],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 41/7372800],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 31/368640],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [12, 1]], 1/345600],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 407/2949120],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 13/1105920],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 13/330301440],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3096576],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 17/144506880],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 47/4515840],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 3967/309657600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 2641/25804800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 7/4423680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 59/464486400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 1/92897280],
[[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 13/103219200],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 1303/206438400],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 6277/206438400],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 1307/495452160],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 397/206438400],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 13/7372800],
[[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 17/309657600],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 191/371589120],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 13/11059200],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/4423680],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 67/11059200],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 2189/82575360],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13271040],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1121/8493465600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 4331/1032192000],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/70778880],
[[[1, 3], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/2560],
[[[1, 3], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/24000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 1/4096],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [14, 1]], 1/21504],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [16, 1]], 1/30720],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [8, 1]], 1/76800],
[[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [14, 1]], 1/21504],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 7/16384],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [7, 1]], 1/860160],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 1/73728],
[[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 19/2949120],
[[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [8, 1]], 1/16800],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 3], [6, 1]], 1/108000],
[[[1, 4], [2, 1], [3, 2], [4, 1], [14, 1], [16, 1]], 1/16128],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/460800],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 5/18432],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 2], [6, 1]], 1/691200],
[[[1, 4], [2, 1], [3, 2], [4, 3], [8, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/36864],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [7, 2]], 1/23520],
[[[1, 4], [2, 1], [4, 1], [5, 1], [14, 1], [16, 1]], 1/13440],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 4], [2, 1], [4, 1], [6, 1], [8, 3], [10, 1]], 1/61440],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/5760],
[[[1, 4], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/14336],
[[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [8, 1]], 1/35840],
[[[1, 4], [2, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/161280],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 5/147456],
[[[1, 4], [2, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 5/21504],
[[[1, 4], [2, 1], [5, 1], [7, 1], [8, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 1/36000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/37632],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 31/49152],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/112896],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 2]], 1/518400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [16, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [16, 1]], 5/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/2560],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/129600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 7/55296],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 7/2073600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [16, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 19/43008],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 131/147456],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/184320],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 365/294912],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/115200],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 11/6912],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 17/73728],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 1/960],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 17/193536],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/331776],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 5/172032],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 163/774144],
[[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 1/1658880],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 19/122880],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 83/2064384],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 7/331776],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/552960],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 23/221184],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 13/368640],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 5/36864],
[[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 7/2211840],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 2035/7077888],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 7/2211840],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 805/884736],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 1/138240],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/38400],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 11/43200],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 5/43008],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 7/172800],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 2], [10, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 5/10752],
[[[1, 4], [2, 3], [3, 1], [7, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 13/259200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 11/92160],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 7/259200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 5/13824],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [16, 1]], 7/69120],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/322560],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/172800],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 19/145152],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 19/290304],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 19/622080],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/258048],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 2], [4, 2], [10, 1], [14, 1]], 1/80640],
[[[1, 4], [2, 3], [3, 2], [4, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 13/207360],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 7/368640],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/387072],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 31/387072],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 191/663552],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 49/829440],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 5/4608],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 19/829440],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 5/110592],
[[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 83/4423680],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 11/82944],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/331776],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 7/24576],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 13/43200],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 13/172800],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 7/518400],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [16, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 37/311040],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 1/552960],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 1/829440],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [16, 1]], 1/13824],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1280],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 13/61440],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 13/57600],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [16, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/201600],
[[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [10, 2]], 31/1382400],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 79/75264],
[[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1792],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 3/20480],
[[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1536],
[[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [20, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [16, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 17/71680],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 3], [4, 2], [5, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 1/14400],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 23/129024],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 1/23040],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 143/294912],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 43/245760],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [16, 1]], 7/92160],
[[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [12, 1]], 1/24192],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/7168],
[[[1, 4], [2, 3], [4, 2], [7, 1], [10, 1], [12, 1]], 1/6720],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 1/9216],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 1/35840],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/103680],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1159/2764800],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 11/64512],
[[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/1290240],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [10, 1]], 1/368640],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 7/276480],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/345600],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 29/2211840],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 2], [10, 1]], 1/28800],
[[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 4], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 7/46080],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 17/28800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 1/61440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/21600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 191/2764800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 7/57600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 11/24576],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 269/1382400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/8064],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/72576],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/331776],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/124416],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 143/258048],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 7/76800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 461/2949120],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/18432],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [16, 1]], 7/69120],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 19/737280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 17/414720],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 6551/2949120],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 19/129600],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 29/55296],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 109/387072],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 85/1161216],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 337/1327104],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 59/1244160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 59/516096],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 197/516096],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 151/967680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 7/69120],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 331/1966080],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 49/307200],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 107/774144],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 9/28672],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 3343/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 37/138240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 41/41472],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1009/3317760],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 7/110592],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 71/829440],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 17417/10616832],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1021/8847360],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1643/884736],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 49/552960],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 77/115200],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 37/1290240],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/14400],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 139/345600],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 61/112896],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 7/61440],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 11/96768],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 17/120960],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 13/69120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 11/967680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 281/8294400],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/3072],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1/10368],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 25/145152],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 47/145152],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 19/110592],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 23/77760],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 5/110592],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 5/64512],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/30240],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 7/20480],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 7/73728],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 7/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 85/290304],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 431/442368],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 163/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 125/82944],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 113/1658880],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 203/552960],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 17/165888],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 695/1327104],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 1/30240],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 13/138240],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 163/172800],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 13/120960],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 23/138240],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 7/77760],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 47/1658880],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 1/290304],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 13/110592],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 11/69120],
[[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 49/4976640],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 11/147456],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 1/622080],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 1/995328],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 7/92160],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2304],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [16, 1]], 43/345600],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 17/184320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 17/18432],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 391/1382400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 15/65536],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 23/122880],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/73728],
[[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 11/64512],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 47/387072],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 19/241920],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 83/829440],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 1/2688],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [12, 1]], 1/43008],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 163/645120],
[[[1, 4], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 5/258048],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 29/483840],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 11/138240],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 7/46080],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 7/103680],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 1187/921600],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 11/138240],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 13/86400],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 239/516096],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 5/48384],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 59/258048],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 569/5160960],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 19/73728],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 17/138240],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 5317/16588800],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 379/921600],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 2543/4423680],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 11/73728],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/4032],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 11/92160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/23040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 43/15482880],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 17/2764800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 1091/5898240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 301/691200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 697/13271040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 97/1290240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 953/3870720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 239/552960],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 8179/24883200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/9216],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 11/688128],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 157/15482880],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 137/967680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 1223/11059200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 2801/44236800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 751/5529600],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 17/4147200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 2917/61931520],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 8549/23224320],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 335/294912],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 10363/16588800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 7147/13271040],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 3721/22118400],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1/103680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1687/44236800],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 524233/637009920],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1903/4915200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 5023/13271040],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1757/5529600],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 1/73728],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 509/15482880],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 163/967680],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 533/3686400],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 61/921600],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 17/1474560],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 65/4644864],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1409/23224320],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1171/2211840],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 2513/5529600],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 5/55296],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/55296],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 89/46448640],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1399/44236800],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 889/4423680],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 109/614400],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1607/13271040],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 19/1105920],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 67/1105920],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 77/9953280],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 43/1327104],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/258048],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/3840],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 41/147456],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [12, 1]], 743/116121600],
[[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 19/172032],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 4741/30965760],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 27647/77414400],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 7343/22118400],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 1/221184],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1687/11059200],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 11/18432],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 17/518400],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 125/196608],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 299/6635520],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 1/552960],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 19/3686400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 1663/990904320],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 599/77414400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 97/36126720],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 2921/43352064],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 461/2580480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 168647/464486400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 13/491520],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 1423/464486400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 89/278691840],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 359/61931520],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 167/1376256],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 61451/265420800],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 10879/371589120],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 4327/154828800],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 463/30965760],
[[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 167/77414400],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 1039/61931520],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1051/46448640],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 23/4423680],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1/163840],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 59/737280],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 149003/1238630400],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 1/884736],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 17/206438400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 248747/59454259200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 102721/2786918400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 11/23592960],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 11/67200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 1/27000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/37632],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 5], [2, 2], [3, 1], [4, 1], [14, 1], [16, 1]], 11/161280],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 31/122880],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 1/518400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 29/230400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/3840],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/110592],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [10, 2]], 1/2073600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 13/43008],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 95/147456],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/10240],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 5/55296],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/28672],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/172800],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 53/294912],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [16, 1]], 1/24576],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 1/129024],
[[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 5/172032],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 43/967680],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 211/1474560],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 13/344064],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 5/221184],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 1/61440],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 5/36864],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 19/2359296],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 7/294912],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/6300],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 5], [2, 2], [3, 1], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 5], [2, 2], [3, 1], [7, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/43200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 61/460800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [16, 1]], 5/41472],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [16, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/64512],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 17/345600],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 19/290304],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/129024],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 2], [3, 2], [4, 2], [12, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/40960],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 161/1990656],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 5/55296],
[[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 13/737280],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 37/331776],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1]], 1/414720],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 5/24576],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 2], [10, 1]], 1/138240],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 11/518400],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [16, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 11/124416],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/276480],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/414720],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 7/110592],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [16, 1]], 1/69120],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3840],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 13/122880],
[[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [16, 1]], 1/19200],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/12600],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 7/9600],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 1/1382400],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 7/204800],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [16, 1]], 1/23040],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/241920],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 17/107520],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 5], [2, 2], [4, 2], [5, 1], [12, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 5/129024],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 35/294912],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 29/737280],
[[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 1/21504],
[[[1, 5], [2, 2], [4, 2], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/80640],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/829440],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 49/921600],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 7/1105920],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 1/1382400],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [10, 1]], 7/4423680],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 2], [5, 1], [6, 1], [8, 2], [10, 1]], 1/115200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 23/122880],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/1920],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/73728],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/10368],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 391/1382400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/3072],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 281/8294400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 1/10240],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/290304],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/995328],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/622080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 17/18432],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 15/65536],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 7/92160],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [16, 1]], 43/345600],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 569/5160960],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/23040],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 19/129600],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 6551/2949120],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 17/414720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 29/55296],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 85/290304],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 7/331776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 11/147456],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 49/4976640],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 59/258048],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 239/516096],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 29/483840],
[[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 5/48384],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 17/165888],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 2543/4423680],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 379/921600],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 9/28672],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 107/774144],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 203/552960],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 113/1658880],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 695/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 5317/16588800],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 11/73728],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1021/8847360],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 17417/10616832],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 71/829440],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1643/884736],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 7/61440],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 139/345600],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 13/120960],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 11/92160],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 77/115200],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 61/112896],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/14400],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 49/552960],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/30240],
[[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 11/69120],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 19/241920],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 269/1382400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 11/24576],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/21600],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 47/145152],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 25/145152],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 13/110592],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 7/77760],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 47/387072],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 11/64512],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 163/331776],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 19/73728],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 7/46080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 85/1161216],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 109/387072],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 431/442368],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 7/20480],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 125/82944],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 11/138240],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 7/103680],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 37/138240],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 3343/3981312],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 7/69120],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 41/41472],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 17/120960],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 23/138240],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 163/172800],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 11/96768],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 13/138240],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 23/77760],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 83/829440],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 1/72576],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 19/110592],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 13/69120],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 59/1244160],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 337/1327104],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 7/138240],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/124416],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/331776],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/18432],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 7/57600],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 7/69120],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/30240],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 163/645120],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 3/8960],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/3840],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 7/76800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 17/28800],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 143/258048],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 191/2764800],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 461/2949120],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 7/46080],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 1/61440],
[[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 5/64512],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 5/110592],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 11/967680],
[[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 47/1658880],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/3584],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 5/258048],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 17/184320],
[[[1, 5], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 1/43008],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 151/967680],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 1/20736],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1187/921600],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 17/138240],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 13/86400],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 197/516096],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 1/16128],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 59/516096],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 19/737280],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 7/73728],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 11/138240],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1009/3317760],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 49/307200],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 331/1966080],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 7/110592],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 37/1290240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 7/69120],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 559/15482880],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 1/80640],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 13/165888],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 7909/17694720],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 2717/8294400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 857/7372800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 439/1548288],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 983/4644864],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 455/995328],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 2239/9953280],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1/9216],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 509/6193152],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 43/258048],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 617/3870720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 4787/11059200],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 3029/8847360],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 3439/5529600],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 5527/18579456],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 102461/185794560],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 23989/13271040],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 28669/44236800],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 6523/7962624],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 341/552960],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 7/103680],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 11339/26542080],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 105907/39321600],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 18461/26542080],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1859/1327104],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 79/1935360],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 7721/16588800],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 55/1032192],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 53/774144],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 271/1935360],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 103/552960],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 335/663552],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 83/884736],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 97/1161216],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 317/1161216],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 9079/6635520],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 167/207360],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 7/27648],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 13/138240],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 31/4976640],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 2809/13271040],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 925/884736],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 539/1105920],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 2179/4423680],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 223/2211840],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 527/1843200],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 83/1244160],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 265/1327104],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/13824],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 1/27648],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 103/1935360],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 13/92160],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1/3456],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 2557/3686400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 19/1036800],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 89/344064],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 5249/30965760],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 541/3096576],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 677/2457600],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 11/1327104],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 7/368640],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 1469/2457600],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 29/28800],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 43/518400],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 61/76800],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 487/6635520],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/110592],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9216],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 367/3686400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 881/35389440],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1067/11059200],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 151/4423680],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 9551/46448640],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 15977/26542080],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 11117/16588800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 89/884736],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 53/884736],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 143/51609600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 9941/123863040],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 80971/92897280],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 260143/371589120],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 26879/159252480],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 17/1474560],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 10259/66355200],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 53/884736],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 2267/66355200],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 5749/46448640],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 637/3686400],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 143/4423680],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 3/32768],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 4031/11059200],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 671257/2477260800],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 71/13271040],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 1289/412876800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 241729/5096079360],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 123337/796262400],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 89/17694720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 3/22400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/108000],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/112896],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 1/49152],
[[[1, 6], [2, 1], [3, 1], [4, 1], [14, 1], [16, 1]], 1/161280],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/460800],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 199/1474560],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 11/276480],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 13/430080],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/691200],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 1/147456],
[[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [14, 1]], 17/3870720],
[[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/688128],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/294912],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [14, 1]], 1/10752],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/28800],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/115200],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/36864],
[[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/258048],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/122880],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/387072],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 5/110592],
[[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/1474560],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/103680],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [16, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/552960],
[[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/829440],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 5/165888],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/122880],
[[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/50400],
[[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 6], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/614400],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/215040],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 6], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/322560],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 547/7372800],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 1/16200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 29/92160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 19/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 17/221184],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 29/8294400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 25/43008],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 89/589824],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [16, 1]], 17/345600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/138240],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 31/129024],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 17/115200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1397/2211840],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/691200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 209/1105920],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 73/1451520],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/1161216],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/331776],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 1/2488320],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 89/516096],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 167/1720320],
[[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/322560],
[[[1, 6], [2, 3], [3, 1], [4, 2], [12, 1], [14, 1]], 11/241920],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 11/414720],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 251/552960],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 53/184320],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 23/110592],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 47/3096576],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 119/2654208],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 47/6635520],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 5/49152],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1613/16588800],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 31/221184],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 127/2949120],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 5989/26542080],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 127/33177600],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 563/2949120],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 11/184320],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 239/3456000],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 97/645120],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 11/100800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1/10800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 31/76800],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 5/32256],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 67/2764800],
[[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 1/64512],
[[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 1/138240],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/5040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 127/460800],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 59/221184],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 41/276480],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 25/145152],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/96768],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/165888],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1/207360],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 17/129024],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/10752],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 541/2764800],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/4096],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 5/55296],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 439/1327104],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 7/345600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 85/497664],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 7/30720],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1871/3317760],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 13/552960],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 203/331776],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 5/24192],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 11/41472],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 7/31104],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 37/276480],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/48384],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 29/331776],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 131/442368],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/12960],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/331776],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 1/46080],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 3/14336],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/8960],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/10752],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 19/691200],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 5/36864],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/307200],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 143/2949120],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 47/1474560],
[[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [16, 1]], 17/2764800],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/193536],
[[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 1/967680],
[[[1, 6], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 1/414720],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 1/258048],
[[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 1/143360],
[[[1, 6], [2, 3], [4, 1], [8, 1], [12, 1], [14, 1]], 17/1935360],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/8064],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 1/103680],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 163/307200],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/28800],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 41/5160960],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/36864],
[[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [14, 1]], 13/7741440],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/331776],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 43/552960],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 11/307200],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 8821/265420800],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1290240],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/13824],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 541/3096576],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/80640],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 2717/8294400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 7909/17694720],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 13/165888],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 857/7372800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 317/1161216],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 97/1161216],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 265/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 83/1244160],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 5249/30965760],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 89/344064],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 103/1935360],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 539/1105920],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 61/76800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 29/28800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/110592],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 102461/185794560],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 5527/18579456],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 925/884736],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 2809/13271040],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 2179/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 1469/2457600],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 487/6635520],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 43/518400],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 18461/26542080],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 105907/39321600],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 11339/26542080],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1859/1327104],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 271/1935360],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 527/1843200],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 53/774144],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 55/1032192],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 79/1935360],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 223/2211840],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 167/207360],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 677/2457600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/3456],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 983/4644864],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 439/1548288],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 9079/6635520],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 335/663552],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 7/27648],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 13/92160],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 11/1327104],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 28669/44236800],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 23989/13271040],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 4787/11059200],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 6523/7962624],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 103/552960],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 7721/16588800],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 7/138240],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 2239/9953280],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 455/995328],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 7/69120],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 617/3870720],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 13/138240],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 2557/3686400],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 7/368640],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 43/258048],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 509/6193152],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 559/15482880],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 83/884736],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 31/4976640],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 19/1036800],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 341/552960],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 3439/5529600],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 7/103680],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 3029/8847360],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 1/20736],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 4019/11059200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 853/7077888],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 469/1228800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 821/4644864],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 13627/46448640],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 7463/8847360],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 637/1105920],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 5/32768],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 107/491520],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 3953/464486400],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 15637/29491200],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 6771/3276800],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 28117/29491200],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 14267/35389440],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 5/98304],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 6049/14745600],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 71/819200],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 1387/6635520],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 13669/26542080],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 2789/6635520],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 461/4423680],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 121/491520],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 6449/11059200],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 96343/353894400],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 2059/199065600],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 54277/1238630400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 144889/660602880],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 653083/1857945600],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 377/17694720],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 19/2457600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/86400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 499/4608000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 1/73728],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [16, 1]], 1/829440],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 37/430080],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 13/327680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [16, 1]], 1/230400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 109/645120],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 31/691200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 3/65536],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 19/1105920],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 1/2903040],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 43/1290240],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 41/5160960],
[[[1, 7], [2, 2], [3, 1], [4, 2], [12, 1], [14, 1]], 1/241920],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/552960],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 179/9830400],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 269/15482880],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 17/19906560],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 17/5529600],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 11/221184],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 91/8847360],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 973/53084160],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 17/33177600],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 7/327680],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 19/3456000],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 437/6451200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [14, 1]], 1/100800],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 17/230400],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/32256],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 2], [10, 1]], 1/1382400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 13/64512],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1631/13824000],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/12288],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [16, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/96768],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 1/18432],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 233/8294400],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 127/1843200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/24192],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 1/215040],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 1/460800],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 9/409600],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 229/4423680],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 37/737280],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/8064],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/69120],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 19/276480],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/72576],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/36864],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 11/276480],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 151/1327104],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/10368],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 7/622080],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 1/995328],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 13/307200],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/691200],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 23/2949120],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/1474560],
[[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 29/38707200],
[[[1, 7], [2, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 29/27095040],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/5160960],
[[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/516096],
[[[1, 7], [2, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/7741440],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1105920],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 2053/928972800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/69120],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 27647/77414400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 301/691200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 1091/5898240],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 17/2764800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 697/13271040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1409/23224320],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 65/4644864],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 43/1327104],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 77/9953280],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 4741/30965760],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 19/172032],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/258048],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 109/614400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 125/196608],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 11/18432],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/552960],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 8549/23224320],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 2917/61931520],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 889/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1399/44236800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 1607/13271040],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1687/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 299/6635520],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 17/518400],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 1903/4915200],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 524233/637009920],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1687/44236800],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 5023/13271040],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 163/967680],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/40320],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 67/1105920],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 509/15482880],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 1/73728],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/483840],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 19/1105920],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 2513/5529600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 7343/22118400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/3840],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 953/3870720],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 97/1290240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1171/2211840],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 61/921600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 5/55296],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 1/221184],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 10363/16588800],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 335/294912],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 1223/11059200],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 7147/13271040],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 533/3686400],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1757/5529600],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 8179/24883200],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 239/552960],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/9216],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 137/967680],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/55296],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/138240],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 41/147456],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 157/15482880],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 11/688128],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 43/15482880],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 17/1474560],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 89/46448640],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 743/116121600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 3721/22118400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 751/5529600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/69120],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 2801/44236800],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/103680],
[[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 17/4147200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 2789/6635520],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 96343/353894400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 6449/11059200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 13627/46448640],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 821/4644864],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 13669/26542080],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 1387/6635520],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 461/4423680],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 121/491520],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 2059/199065600],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 28117/29491200],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 6771/3276800],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 15637/29491200],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 14267/35389440],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 71/819200],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 6049/14745600],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 5/98304],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 637/1105920],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 7463/8847360],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 4019/11059200],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 5/32768],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 107/491520],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 469/1228800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 853/7077888],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 3953/464486400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 6017/26542080],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 13533799/29727129600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 9187/22118400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 7423/176947200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 49/4608000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 11/1290240],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 7/2949120],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 437/25804800],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/230400],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/294912],
[[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 1/2580480],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 19/9830400],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/3870720],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/221184],
[[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/2949120],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 19/2150400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 23/322560],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 91/13824000],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [16, 1]], 1/276480],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/258048],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1/921600],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/258048],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/1382400],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 29/6635520],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 11/2211840],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/290304],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/184320],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/311040],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2150400],
[[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2949120],
[[[1, 8], [2, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/38707200],
[[[1, 8], [2, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/27095040],
[[[1, 8], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 107/928972800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 8383/25804800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 2983/13824000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 631/17694720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 323/30965760],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 41/11612160],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/774144],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/331776],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1658880],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 583/10321920],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/114688],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 3631/232243200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 407/2949120],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 31/368640],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 4559/61931520],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 101/36126720],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 247/13271040],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 101/77414400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 239/39813120],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 41/7372800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 13/1105920],
[[[1, 8], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 1/345600],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 3953/44236800],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 128699/1486356480],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 137/44236800],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 31/663552],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 11/138240],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 101/16588800],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 41/7741440],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/1032192],
[[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/2211840],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 803/8294400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 251/1474560],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 11/138240],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 67/516096],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 19/2580480],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 283/6635520],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 31/5529600],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/1327104],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 523/2949120],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 301/1474560],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/307200],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 467/4423680],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 263/5529600],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 167/1843200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 3577/16588800],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 109/737280],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/27648],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 641/19353600],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 131/3686400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/1105920],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 5/10838016],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2064384],
[[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/15482880],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/4423680],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4644864],
[[[1, 8], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 11/14515200],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 61/25804800],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 377/103219200],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 29/46448640],
[[[1, 8], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 29/58060800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 637/3686400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 671257/2477260800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 4031/11059200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 9551/46448640],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 151/4423680],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 5749/46448640],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 2267/66355200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 143/4423680],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 3/32768],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 71/13271040],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 260143/371589120],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 80971/92897280],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 9941/123863040],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 26879/159252480],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 53/884736],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 10259/66355200],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 17/1474560],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 11117/16588800],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 15977/26542080],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 367/3686400],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 89/884736],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 53/884736],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 1067/11059200],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 881/35389440],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 143/51609600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 9187/22118400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 13533799/29727129600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 6017/26542080],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 7423/176947200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 3187/25804800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1769/48384000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/655360],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1]], 1/1032192],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/7741440],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 13/2064384],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 19/232243200],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 1441/103219200],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/122880],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 25/6193152],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 13/72253440],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/884736],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 13/154828800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/4423680],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/1105920],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1741/309657600],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1693/495452160],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 1/655360],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 41/3225600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/5529600],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1/5160960],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 19/5529600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 27/819200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/737280],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 17/819200],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 61/4423680],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 119/13271040],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 19/3686400],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 13/1843200],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 667/12441600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 49/19906560],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 113/67737600],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 79/25804800],
[[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/108380160],
[[[1, 9], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/139345920],
[[[1, 9], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/38707200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/17203200],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 43/619315200],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/46448640],
[[[1, 9], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/58060800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 1051/46448640],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 149003/1238630400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 59/737280],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 2921/43352064],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 97/36126720],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 1039/61931520],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 167/77414400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 23/4423680],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1/163840],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 1/884736],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 61451/265420800],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 167/1376256],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 359/61931520],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 10879/371589120],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 463/30965760],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 4327/154828800],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 168647/464486400],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 461/2580480],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 19/3686400],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 13/491520],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1423/464486400],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 599/77414400],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1663/990904320],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 89/278691840],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 653083/1857945600],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 144889/660602880],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 54277/1238630400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 377/17694720],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 373/25804800],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 29/32256000],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1]], 1/30965760],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/10321920],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 19/206438400],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/20643840],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 19/309657600],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 17/106168320],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/17694720],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/3225600],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 13/7372800],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/2580480],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 19/14745600],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 13/9953280],
[[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/15052800],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/12902400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 13/11059200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 2189/82575360],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 67/11059200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 47/4515840],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 17/144506880],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 191/371589120],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 17/309657600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/4423680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 1/13271040],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 6277/206438400],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1303/206438400],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 13/103219200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1307/495452160],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 13/7372800],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 397/206438400],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 2641/25804800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 3967/309657600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 7/4423680],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 59/464486400],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3096576],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/330301440],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/92897280],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 123337/796262400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 241729/5096079360],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 1289/412876800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 89/17694720],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/25804800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 18517/8257536000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1021/2167603200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 251/206438400],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 19/103219200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 137/1486356480],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/17203200],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 13/206438400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 6967/663552000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 127/1857945600],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/464486400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 102721/2786918400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 248747/59454259200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 17/206438400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 11/23592960],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 317/8257536000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1/135475200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/68812800],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 131/1161216000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 4331/1032192000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1121/8493465600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/70778880],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 1321/7962624000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 19/35672555520],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 113/55738368000],
[[[2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/2560],
[[[2, 3], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1], [16, 1]], 1/6720],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [28, 1]], 1/672],
[[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/80640],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/3456],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/2880],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/480],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [16, 1]], 1/1600],
[[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [16, 1]], 1/6720],
[[[1, 1], [2, 2], [4, 1], [7, 1], [8, 1], [12, 1], [14, 1]], 1/4704],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/2560],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 1], [2, 2], [4, 3], [6, 1], [7, 1], [8, 1], [10, 1]], 1/80640],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/34560],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/28800],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/11520],
[[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/103680],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/46080],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/9216],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 7/138240],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/24576],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/24192],
[[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/20160],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/345600],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/36864],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/23040],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/18432],
[[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 17/8294400],
[[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 7/276480],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/241920],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 11/2764800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/58060800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 19/3225600],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/414720],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1474560],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/22118400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/46448640],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [14, 1], [16, 1]], 1/6720],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [28, 1]], 1/672],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/2560],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/11520],
[[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/80640],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/3456],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/2880],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/480],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [16, 1]], 1/1600],
[[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [10, 1], [16, 1]], 1/6720],
[[[1, 2], [2, 1], [4, 1], [7, 1], [8, 1], [12, 1], [14, 1]], 1/4704],
[[[1, 2], [2, 1], [4, 3], [6, 1], [7, 1], [8, 1], [10, 1]], 1/80640],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/172800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2560],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/19200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 13/56448],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 13/18432],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/960],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 31/18432],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/768],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/360],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/82944],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/86400],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 7/552960],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 53/5529600],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 7/552960],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 433/221184],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 17/115200],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/172800],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/34560],
[[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 7/86400],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/414720],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/2560],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/9600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/5040],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 7/57600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 11/345600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/322560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 5/36864],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/207360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 13/92160],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 11/103680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/43200],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 79/258048],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 61/184320],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 43/165888],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 7/17280],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 43/2073600],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 7/368640],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 67/552960],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 29/73728],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 5/62208],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 41/1382400],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/28800],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 11/241920],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 5/21504],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 37/921600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 29/58060800],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/258048],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/967680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 191/1382400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/691200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 23/276480],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 101/11059200],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 53/3686400],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/331776],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 349/3686400],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 341/13271040],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 31/552960],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/614400],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/552960],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1244160],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 37/230400],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/345600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/819200],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1935360],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 41/30965760],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/9600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/25200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/2688],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/172800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2560],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 13/56448],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 13/18432],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 31/18432],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/768],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/360],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/414720],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 7/552960],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 53/5529600],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 7/552960],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 433/221184],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 17/115200],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/172800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 7/86400],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/2560],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/7200],
[[[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], [12, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/24192],
[[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/6720],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/86400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 29/57600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 7/34560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/15120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 19/322560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/9600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 23/57600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/28224],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 7/43200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 31/18432],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/768],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/103680],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 37/153600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 31/103680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 23/115200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 7/138240],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/10800],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 47/258048],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 61/129024],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 19/161280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 13/30720],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 95/165888],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 97/414720],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 31/153600],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 31/69120],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 43/138240],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 991/221184],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/10080],
[[[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]], 1/1680],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/120960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 13/43200],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/96768],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 7/69120],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 23/20736],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 11/110592],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 179/1382400],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 61/165888],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 29/103680],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/207360],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 7/103680],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 13/86400],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 5/48384],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 9/35840],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 17/38400],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 17/1935360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5120],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 139/276480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 17/4147200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/21504],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 227/552960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 391/967680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 481/921600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 217/829440],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 427/3686400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 239/1228800],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 73/1658880],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 2609/3686400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 5407/13271040],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 203/552960],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/368640],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 239/2764800],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 13/138240],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/46080],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 17/518400],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/552960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/1843200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 697/11059200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/921600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 4451/38707200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1969/92897280],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/25200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/24576],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/34560],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 7/138240],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/103680],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/28800],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 23/57600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 9/35840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 7/43200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 29/57600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/28224],
[[[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, 1], [8, 1], [16, 1]], 31/18432],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 7/34560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/768],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/207360],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 5/48384],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 19/161280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 179/1382400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 29/103680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 17/38400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 61/129024],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 47/258048],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 11/110592],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 61/165888],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 43/138240],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 31/153600],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 97/414720],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 991/221184],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 31/69120],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 7/69120],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 13/43200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/15120],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 23/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 7/103680],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 13/30720],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 37/153600],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2160],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 95/165888],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 31/103680],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/103680],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 13/86400],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/5376],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/16128],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/322560],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 23/115200],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/10800],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 23/276480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 11/23040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1331/1382400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 19/46080],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 155/193536],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 67/193536],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/8640],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 199/497664],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 7/103680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 17/18432],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 151/122880],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 463/829440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 79/55296],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 4303/2654208],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 229/276480],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/122880],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 49/138240],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 179/307200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 13/34560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 29/46080],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 43/518400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 791/5529600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5923/11059200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/307200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 4013/5529600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 3959/39813120],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 13/184320],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 5/21504],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 7/57600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 5/36864],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 11/345600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 11/241920],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/40320],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 41/1382400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 79/258048],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 67/552960],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 7/368640],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 7/46080],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 43/2073600],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 29/73728],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[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]], 1/96768],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 5/62208],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 61/184320],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/92160],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 7/17280],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 43/165888],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 11/103680],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/207360],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/103680],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/28800],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/43200],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 67/193536],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5040],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 13/34560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 179/307200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 29/46080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 155/193536],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 23/276480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 49/138240],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 43/518400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 79/55296],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 151/122880],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 229/276480],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 17/18432],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 4303/2654208],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 463/829440],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/122880],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/8640],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1331/1382400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 11/23040],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 199/497664],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/46080],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/103680],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 31/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 9407/5529600],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/10240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 53/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7039/22118400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 13/92160],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/345600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/241920],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 7/276480],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 17/8294400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/41472],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 391/967680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 13/138240],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 239/2764800],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 19/46080],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 227/552960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 17/1935360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 17/518400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 2609/3686400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 239/1228800],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 203/552960],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 427/3686400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 5407/13271040],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 73/1658880],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 19/368640],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 481/921600],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 139/276480],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 217/829440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 17/4147200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 53/46080],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 9407/5529600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 13/92160],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 31/46080],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7039/22118400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/10240],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 191/1382400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 37/230400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/967680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/258048],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/552960],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1244160],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/345600],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 349/3686400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 53/3686400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 31/552960],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 101/11059200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 341/13271040],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/331776],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/614400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/691200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 37/921600],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 23/276480],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 29/58060800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 4013/5529600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5923/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 13/184320],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 791/5529600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 3959/39813120],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/307200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 19/3225600],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1474560],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 11/2764800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/414720],
[[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/58060800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 4451/38707200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 697/11059200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/184320],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/1843200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1969/92897280],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/921600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1935360],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/819200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 41/30965760],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/22118400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/46448640],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/14400],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/1440],
[[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/51840],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/43200],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/518400],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/14400],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/10800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 31/460800],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 11/34560],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/51840],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2304],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/518400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/17280],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/51840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/4032],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 31/460800],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 11/34560],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/10800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 61/38400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/51840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 17/34560],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/51840],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/43200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 61/38400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 17/34560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/51840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/17280],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 11/518400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/518400],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/21600],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/21600]
]}