{[
[[[1, 24]], 1/573416710078464000],
[[[2, 24]], 1/573416710078464000],
[[[1, 1], [2, 23]], 1/5309413982208000],
[[[1, 2], [2, 22]], 31/3539609321472000],
[[[1, 3], [2, 21]], 1223/5309413982208000],
[[[1, 4], [2, 20]], 3833/1011316948992000],
[[[1, 5], [2, 19]], 191/4682022912000],
[[[1, 6], [2, 18]], 24613/84276412416000],
[[[1, 6], [3, 9]], 1/51018336],
[[[1, 6], [7, 3]], 1/32928],
[[[1, 7], [2, 17]], 557/401316249600],
[[[1, 8], [2, 16]], 289991/67421129932800],
[[[1, 8], [3, 8]], 869/1587237120],
[[[1, 9], [2, 15]], 47389/5618427494400],
[[[1, 10], [2, 14]], 1843/178362777600],
[[[1, 10], [3, 7]], 31/226748160],
[[[1, 11], [2, 13]], 443/53508833280],
[[[1, 12], [2, 12]], 233/35672555520],
[[[1, 12], [3, 6]], 605/7618738176],
[[[1, 12], [5, 3]], 1/20736000],
[[[1, 12], [7, 2]], 1/284497920],
[[[1, 13], [2, 11]], 443/53508833280],
[[[1, 14], [2, 10]], 1843/178362777600],
[[[1, 14], [3, 5]], 41/3968092800],
[[[1, 15], [2, 9]], 47389/5618427494400],
[[[1, 16], [2, 8]], 289991/67421129932800],
[[[1, 16], [3, 4]], 71/126978969600],
[[[1, 16], [5, 2]], 1/20901888000],
[[[1, 17], [2, 7]], 557/401316249600],
[[[1, 18], [2, 6]], 24613/84276412416000],
[[[1, 18], [3, 3]], 6053/426649337856000],
[[[1, 18], [7, 1]], 1/7374186086400],
[[[1, 19], [2, 5]], 191/4682022912000],
[[[1, 20], [2, 4]], 3833/1011316948992000],
[[[1, 20], [3, 2]], 47/284432891904000],
[[[1, 20], [5, 1]], 1/63207309312000],
[[[1, 21], [2, 3]], 1223/5309413982208000],
[[[1, 22], [2, 2]], 31/3539609321472000],
[[[1, 22], [3, 1]], 1/1137731567616000],
[[[1, 23], [2, 1]], 1/5309413982208000],
[[[2, 6], [6, 9]], 1/51018336],
[[[2, 6], [14, 3]], 1/32928],
[[[2, 8], [6, 8]], 869/1587237120],
[[[2, 10], [6, 7]], 31/226748160],
[[[2, 12], [6, 6]], 605/7618738176],
[[[2, 12], [10, 3]], 1/20736000],
[[[2, 12], [14, 2]], 1/284497920],
[[[2, 14], [6, 5]], 41/3968092800],
[[[2, 16], [6, 4]], 71/126978969600],
[[[2, 16], [10, 2]], 1/20901888000],
[[[2, 18], [6, 3]], 6053/426649337856000],
[[[2, 18], [14, 1]], 1/7374186086400],
[[[2, 20], [6, 2]], 47/284432891904000],
[[[2, 20], [10, 1]], 1/63207309312000],
[[[2, 22], [6, 1]], 1/1137731567616000],
[[[3, 3], [9, 3]], 1/8748],
[[[6, 3], [18, 3]], 1/8748],
[[[9, 1], [27, 1]], 1/54],
[[[18, 1], [54, 1]], 1/54],
[[[1, 1], [2, 5], [14, 3]], 1/10976],
[[[1, 1], [2, 7], [6, 8]], 1/3779136],
[[[1, 1], [2, 9], [6, 7]], 13/15116544],
[[[1, 1], [2, 11], [6, 6]], 883/1058158080],
[[[1, 1], [2, 11], [10, 3]], 1/1152000],
[[[1, 1], [2, 11], [14, 2]], 19/142248960],
[[[1, 1], [2, 13], [6, 5]], 937/4232632320],
[[[1, 1], [2, 15], [6, 4]], 1613/84652646400],
[[[1, 1], [2, 15], [10, 2]], 1/435456000],
[[[1, 1], [2, 17], [6, 3]], 41/59256852480],
[[[1, 1], [2, 17], [14, 1]], 73/7374186086400],
[[[1, 1], [2, 19], [6, 2]], 1049/94810963968000],
[[[1, 1], [2, 19], [10, 1]], 13/10534551552000],
[[[1, 1], [2, 21], [4, 1]], 1/252829237248000],
[[[1, 1], [2, 21], [6, 1]], 29/379243855872000],
[[[1, 2], [2, 4], [14, 3]], 1/10976],
[[[1, 2], [2, 8], [6, 7]], 7/5038848],
[[[1, 2], [2, 10], [6, 6]], 301/100776960],
[[[1, 2], [2, 10], [10, 3]], 13/2304000],
[[[1, 2], [2, 10], [14, 2]], 451/284497920],
[[[1, 2], [2, 12], [6, 5]], 739/470292480],
[[[1, 2], [2, 14], [6, 4]], 3391/14108774400],
[[[1, 2], [2, 14], [10, 2]], 71/1741824000],
[[[1, 2], [2, 16], [6, 3]], 10519/790091366400],
[[[1, 2], [2, 16], [14, 1]], 59/204838502400],
[[[1, 2], [2, 18], [4, 2]], 257/84276412416000],
[[[1, 2], [2, 18], [6, 2]], 227/752467968000],
[[[1, 2], [2, 18], [10, 1]], 829/21069103104000],
[[[1, 2], [2, 20], [4, 1]], 41/126414618624000],
[[[1, 2], [2, 20], [6, 1]], 353/126414618624000],
[[[1, 2], [3, 2], [9, 3]], 1/972],
[[[1, 2], [3, 5], [9, 2]], 1/52488],
[[[1, 3], [2, 3], [7, 3]], 1/32928],
[[[1, 3], [2, 3], [14, 3]], 1/32928],
[[[1, 3], [2, 7], [6, 7]], 1/15116544],
[[[1, 3], [2, 9], [6, 6]], 115/30233088],
[[[1, 3], [2, 9], [10, 3]], 1/64000],
[[[1, 3], [2, 9], [14, 2]], 19/2634240],
[[[1, 3], [2, 11], [6, 5]], 97/20155392],
[[[1, 3], [2, 13], [6, 4]], 23953/16930529280],
[[[1, 3], [2, 13], [10, 2]], 17/48384000],
[[[1, 3], [2, 15], [4, 3]], 47/55738368000],
[[[1, 3], [2, 15], [6, 3]], 21971/169305292800],
[[[1, 3], [2, 15], [14, 1]], 883/204838502400],
[[[1, 3], [2, 17], [4, 2]], 67/390168576000],
[[[1, 3], [2, 17], [6, 2]], 1381/316036546560],
[[[1, 3], [2, 17], [10, 1]], 587/877879296000],
[[[1, 3], [2, 19], [4, 1]], 929/84276412416000],
[[[1, 3], [2, 19], [6, 1]], 21257/379243855872000],
[[[1, 4], [2, 2], [7, 3]], 1/10976],
[[[1, 4], [2, 8], [6, 6]], 25/40310784],
[[[1, 4], [2, 8], [10, 3]], 13/768000],
[[[1, 4], [2, 8], [14, 2]], 61/4515840],
[[[1, 4], [2, 10], [6, 5]], 41/6718464],
[[[1, 4], [2, 12], [4, 4]], 811/22295347200],
[[[1, 4], [2, 12], [6, 4]], 3887/940584960],
[[[1, 4], [2, 12], [10, 2]], 1847/1161216000],
[[[1, 4], [2, 14], [4, 3]], 149/5573836800],
[[[1, 4], [2, 14], [6, 3]], 155303/225740390400],
[[[1, 4], [2, 14], [14, 1]], 421/11705057280],
[[[1, 4], [2, 16], [4, 2]], 8881/2341011456000],
[[[1, 4], [2, 16], [6, 2]], 221/6019743744],
[[[1, 4], [2, 16], [10, 1]], 2593/390168576000],
[[[1, 4], [2, 18], [4, 1]], 713/3511517184000],
[[[1, 4], [2, 18], [6, 1]], 14351/21069103104000],
[[[1, 4], [3, 4], [9, 2]], 55/34992],
[[[1, 4], [3, 7], [9, 1]], 1/944784],
[[[1, 5], [2, 1], [7, 3]], 1/10976],
[[[1, 5], [2, 7], [10, 3]], 1/128000],
[[[1, 5], [2, 7], [14, 2]], 5/451584],
[[[1, 5], [2, 9], [4, 5]], 11/5898240],
[[[1, 5], [2, 9], [6, 5]], 1/497664],
[[[1, 5], [2, 11], [4, 4]], 19/24772608],
[[[1, 5], [2, 11], [6, 4]], 169/29859840],
[[[1, 5], [2, 11], [10, 2]], 181/48384000],
[[[1, 5], [2, 13], [4, 3]], 11033/33443020800],
[[[1, 5], [2, 13], [6, 3]], 167/83607552],
[[[1, 5], [2, 13], [14, 1]], 3323/19508428800],
[[[1, 5], [2, 15], [4, 2]], 1439/33443020800],
[[[1, 5], [2, 15], [6, 2]], 341/1857945600],
[[[1, 5], [2, 15], [10, 1]], 3337/83607552000],
[[[1, 5], [2, 17], [4, 1]], 31313/14046068736000],
[[[1, 5], [2, 17], [6, 1]], 2437/468202291200],
[[[1, 6], [2, 6], [4, 6]], 3/65536],
[[[1, 6], [2, 6], [5, 3]], 1/768000],
[[[1, 6], [2, 6], [7, 2]], 1/301056],
[[[1, 6], [2, 6], [10, 3]], 1/768000],
[[[1, 6], [2, 6], [14, 2]], 1/301056],
[[[1, 6], [2, 8], [4, 5]], 11/589824],
[[[1, 6], [2, 8], [6, 5]], 1/13436928],
[[[1, 6], [2, 10], [4, 4]], 253/35389440],
[[[1, 6], [2, 10], [6, 4]], 77/26873856],
[[[1, 6], [2, 10], [10, 2]], 13/3072000],
[[[1, 6], [2, 12], [4, 3]], 25/12386304],
[[[1, 6], [2, 12], [6, 3]], 3233/1074954240],
[[[1, 6], [2, 12], [14, 1]], 293/650280960],
[[[1, 6], [2, 14], [4, 2]], 12163/44590694400],
[[[1, 6], [2, 14], [6, 2]], 2033/3762339840],
[[[1, 6], [2, 14], [10, 1]], 8053/55738368000],
[[[1, 6], [2, 16], [4, 1]], 337/22295347200],
[[[1, 6], [2, 16], [6, 1]], 15161/601974374400],
[[[1, 6], [3, 3], [5, 3]], 1/40500],
[[[1, 6], [3, 3], [7, 2]], 1/127008],
[[[1, 6], [3, 3], [9, 2]], 1/699840],
[[[1, 6], [3, 5], [5, 2]], 1/145800],
[[[1, 6], [3, 6], [7, 1]], 1/1469664],
[[[1, 6], [3, 6], [9, 1]], 253/3149280],
[[[1, 6], [3, 7], [5, 1]], 1/1574640],
[[[1, 7], [2, 1], [3, 8]], 1/3779136],
[[[1, 7], [2, 3], [3, 7]], 1/15116544],
[[[1, 7], [2, 5], [5, 3]], 1/128000],
[[[1, 7], [2, 5], [7, 2]], 5/451584],
[[[1, 7], [2, 7], [4, 5]], 65/589824],
[[[1, 7], [2, 9], [4, 4]], 37/1179648],
[[[1, 7], [2, 9], [6, 4]], 7/17915904],
[[[1, 7], [2, 9], [10, 2]], 1/460800],
[[[1, 7], [2, 11], [4, 3]], 139/19660800],
[[[1, 7], [2, 11], [6, 3]], 73/35831808],
[[[1, 7], [2, 11], [14, 1]], 59/92897280],
[[[1, 7], [2, 13], [4, 2]], 3701/3715891200],
[[[1, 7], [2, 13], [6, 2]], 1493/1672151040],
[[[1, 7], [2, 13], [10, 1]], 283/928972800],
[[[1, 7], [2, 15], [4, 1]], 59473/936404582400],
[[[1, 7], [2, 15], [6, 1]], 15233/200658124800],
[[[1, 8], [2, 2], [3, 7]], 7/5038848],
[[[1, 8], [2, 4], [3, 6]], 25/40310784],
[[[1, 8], [2, 4], [5, 3]], 13/768000],
[[[1, 8], [2, 4], [7, 2]], 61/4515840],
[[[1, 8], [2, 6], [3, 5]], 1/13436928],
[[[1, 8], [2, 6], [4, 5]], 11/589824],
[[[1, 8], [2, 8], [4, 4]], 1067/11796480],
[[[1, 8], [2, 8], [5, 2]], 1/2457600],
[[[1, 8], [2, 8], [10, 2]], 1/2457600],
[[[1, 8], [2, 10], [4, 3]], 853/53084160],
[[[1, 8], [2, 10], [6, 3]], 15563/30098718720],
[[[1, 8], [2, 10], [14, 1]], 1283/2601123840],
[[[1, 8], [2, 12], [4, 2]], 3287/1486356480],
[[[1, 8], [2, 12], [6, 2]], 3037/4013162496],
[[[1, 8], [2, 12], [10, 1]], 7919/22295347200],
[[[1, 8], [2, 14], [4, 1]], 12757/78033715200],
[[[1, 8], [2, 14], [6, 1]], 54983/401316249600],
[[[1, 8], [3, 2], [5, 3]], 1/108000],
[[[1, 8], [3, 2], [7, 2]], 1/84672],
[[[1, 8], [3, 2], [9, 2]], 1/117573120],
[[[1, 8], [3, 4], [5, 2]], 7/583200],
[[[1, 8], [3, 5], [7, 1]], 1/489888],
[[[1, 8], [3, 5], [9, 1]], 1/393660],
[[[1, 8], [3, 6], [5, 1]], 5/2519424],
[[[1, 8], [5, 1], [7, 2]], 1/94080],
[[[1, 9], [2, 1], [3, 7]], 13/15116544],
[[[1, 9], [2, 3], [3, 6]], 115/30233088],
[[[1, 9], [2, 3], [5, 3]], 1/64000],
[[[1, 9], [2, 3], [7, 2]], 19/2634240],
[[[1, 9], [2, 5], [3, 5]], 1/497664],
[[[1, 9], [2, 5], [4, 5]], 11/5898240],
[[[1, 9], [2, 7], [3, 4]], 7/17915904],
[[[1, 9], [2, 7], [4, 4]], 37/1179648],
[[[1, 9], [2, 7], [5, 2]], 1/460800],
[[[1, 9], [2, 9], [3, 3]], 1/35831808],
[[[1, 9], [2, 9], [4, 3]], 3713/123863040],
[[[1, 9], [2, 9], [6, 3]], 1/35831808],
[[[1, 9], [2, 9], [7, 1]], 443/2601123840],
[[[1, 9], [2, 9], [14, 1]], 443/2601123840],
[[[1, 9], [2, 11], [4, 2]], 269/82575360],
[[[1, 9], [2, 11], [6, 2]], 661/2229534720],
[[[1, 9], [2, 11], [10, 1]], 863/3715891200],
[[[1, 9], [2, 13], [4, 1]], 23327/89181388800],
[[[1, 9], [2, 13], [6, 1]], 755/5350883328],
[[[1, 10], [2, 2], [3, 6]], 301/100776960],
[[[1, 10], [2, 2], [5, 3]], 13/2304000],
[[[1, 10], [2, 2], [7, 2]], 451/284497920],
[[[1, 10], [2, 4], [3, 5]], 41/6718464],
[[[1, 10], [2, 6], [3, 4]], 77/26873856],
[[[1, 10], [2, 6], [4, 4]], 253/35389440],
[[[1, 10], [2, 6], [5, 2]], 13/3072000],
[[[1, 10], [2, 8], [3, 3]], 15563/30098718720],
[[[1, 10], [2, 8], [4, 3]], 853/53084160],
[[[1, 10], [2, 8], [7, 1]], 1283/2601123840],
[[[1, 10], [2, 10], [3, 2]], 1/31850496],
[[[1, 10], [2, 10], [4, 2]], 12863/2972712960],
[[[1, 10], [2, 10], [5, 1]], 443/7431782400],
[[[1, 10], [2, 10], [6, 2]], 1/31850496],
[[[1, 10], [2, 10], [10, 1]], 443/7431782400],
[[[1, 10], [2, 12], [4, 1]], 353/1274019840],
[[[1, 10], [2, 12], [6, 1]], 241/2972712960],
[[[1, 10], [3, 1], [5, 3]], 1/864000],
[[[1, 10], [3, 1], [7, 2]], 1/1693440],
[[[1, 10], [3, 3], [5, 2]], 149/46656000],
[[[1, 10], [3, 4], [7, 1]], 1/612360],
[[[1, 10], [3, 4], [9, 1]], 253/1058158080],
[[[1, 10], [3, 5], [5, 1]], 37/20995200],
[[[1, 10], [5, 2], [7, 1]], 1/806400],
[[[1, 11], [2, 1], [3, 6]], 883/1058158080],
[[[1, 11], [2, 1], [5, 3]], 1/1152000],
[[[1, 11], [2, 1], [7, 2]], 19/142248960],
[[[1, 11], [2, 3], [3, 5]], 97/20155392],
[[[1, 11], [2, 5], [3, 4]], 169/29859840],
[[[1, 11], [2, 5], [4, 4]], 19/24772608],
[[[1, 11], [2, 5], [5, 2]], 181/48384000],
[[[1, 11], [2, 7], [3, 3]], 73/35831808],
[[[1, 11], [2, 7], [4, 3]], 139/19660800],
[[[1, 11], [2, 7], [7, 1]], 59/92897280],
[[[1, 11], [2, 9], [3, 2]], 661/2229534720],
[[[1, 11], [2, 9], [4, 2]], 269/82575360],
[[[1, 11], [2, 9], [5, 1]], 863/3715891200],
[[[1, 11], [2, 11], [3, 1]], 443/26754416640],
[[[1, 11], [2, 11], [4, 1]], 827/2972712960],
[[[1, 11], [2, 11], [6, 1]], 443/26754416640],
[[[1, 12], [2, 2], [3, 5]], 739/470292480],
[[[1, 12], [2, 4], [3, 4]], 3887/940584960],
[[[1, 12], [2, 4], [4, 4]], 811/22295347200],
[[[1, 12], [2, 4], [5, 2]], 1847/1161216000],
[[[1, 12], [2, 6], [3, 3]], 3233/1074954240],
[[[1, 12], [2, 6], [4, 3]], 25/12386304],
[[[1, 12], [2, 6], [7, 1]], 293/650280960],
[[[1, 12], [2, 8], [3, 2]], 3037/4013162496],
[[[1, 12], [2, 8], [4, 2]], 3287/1486356480],
[[[1, 12], [2, 8], [5, 1]], 7919/22295347200],
[[[1, 12], [2, 10], [3, 1]], 241/2972712960],
[[[1, 12], [2, 10], [4, 1]], 353/1274019840],
[[[1, 12], [3, 2], [5, 2]], 191/653184000],
[[[1, 12], [3, 3], [7, 1]], 253/1646023680],
[[[1, 12], [3, 3], [9, 1]], 13/1763596800],
[[[1, 12], [3, 4], [5, 1]], 589/1763596800],
[[[1, 13], [2, 1], [3, 5]], 937/4232632320],
[[[1, 13], [2, 3], [3, 4]], 23953/16930529280],
[[[1, 13], [2, 3], [5, 2]], 17/48384000],
[[[1, 13], [2, 5], [3, 3]], 167/83607552],
[[[1, 13], [2, 5], [4, 3]], 11033/33443020800],
[[[1, 13], [2, 5], [7, 1]], 3323/19508428800],
[[[1, 13], [2, 7], [3, 2]], 1493/1672151040],
[[[1, 13], [2, 7], [4, 2]], 3701/3715891200],
[[[1, 13], [2, 7], [5, 1]], 283/928972800],
[[[1, 13], [2, 9], [3, 1]], 755/5350883328],
[[[1, 13], [2, 9], [4, 1]], 23327/89181388800],
[[[1, 14], [2, 2], [3, 4]], 3391/14108774400],
[[[1, 14], [2, 2], [5, 2]], 71/1741824000],
[[[1, 14], [2, 4], [3, 3]], 155303/225740390400],
[[[1, 14], [2, 4], [4, 3]], 149/5573836800],
[[[1, 14], [2, 4], [7, 1]], 421/11705057280],
[[[1, 14], [2, 6], [3, 2]], 2033/3762339840],
[[[1, 14], [2, 6], [4, 2]], 12163/44590694400],
[[[1, 14], [2, 6], [5, 1]], 8053/55738368000],
[[[1, 14], [2, 8], [3, 1]], 54983/401316249600],
[[[1, 14], [2, 8], [4, 1]], 12757/78033715200],
[[[1, 14], [3, 1], [5, 2]], 23/2612736000],
[[[1, 14], [3, 2], [7, 1]], 13/2743372800],
[[[1, 14], [3, 2], [9, 1]], 1/14108774400],
[[[1, 14], [3, 3], [5, 1]], 1577/70543872000],
[[[1, 14], [5, 1], [7, 1]], 1/1219276800],
[[[1, 15], [2, 1], [3, 4]], 1613/84652646400],
[[[1, 15], [2, 1], [5, 2]], 1/435456000],
[[[1, 15], [2, 3], [3, 3]], 21971/169305292800],
[[[1, 15], [2, 3], [4, 3]], 47/55738368000],
[[[1, 15], [2, 3], [7, 1]], 883/204838502400],
[[[1, 15], [2, 5], [3, 2]], 341/1857945600],
[[[1, 15], [2, 5], [4, 2]], 1439/33443020800],
[[[1, 15], [2, 5], [5, 1]], 3337/83607552000],
[[[1, 15], [2, 7], [3, 1]], 15233/200658124800],
[[[1, 15], [2, 7], [4, 1]], 59473/936404582400],
[[[1, 16], [2, 2], [3, 3]], 10519/790091366400],
[[[1, 16], [2, 2], [7, 1]], 59/204838502400],
[[[1, 16], [2, 4], [3, 2]], 221/6019743744],
[[[1, 16], [2, 4], [4, 2]], 8881/2341011456000],
[[[1, 16], [2, 4], [5, 1]], 2593/390168576000],
[[[1, 16], [2, 6], [3, 1]], 15161/601974374400],
[[[1, 16], [2, 6], [4, 1]], 337/22295347200],
[[[1, 16], [3, 1], [7, 1]], 1/21946982400],
[[[1, 16], [3, 1], [9, 1]], 1/4740548198400],
[[[1, 16], [3, 2], [5, 1]], 1/1679616000],
[[[1, 17], [2, 1], [3, 3]], 41/59256852480],
[[[1, 17], [2, 1], [7, 1]], 73/7374186086400],
[[[1, 17], [2, 3], [3, 2]], 1381/316036546560],
[[[1, 17], [2, 3], [4, 2]], 67/390168576000],
[[[1, 17], [2, 3], [5, 1]], 587/877879296000],
[[[1, 17], [2, 5], [3, 1]], 2437/468202291200],
[[[1, 17], [2, 5], [4, 1]], 31313/14046068736000],
[[[1, 18], [2, 2], [3, 2]], 227/752467968000],
[[[1, 18], [2, 2], [4, 2]], 257/84276412416000],
[[[1, 18], [2, 2], [5, 1]], 829/21069103104000],
[[[1, 18], [2, 4], [3, 1]], 14351/21069103104000],
[[[1, 18], [2, 4], [4, 1]], 713/3511517184000],
[[[1, 18], [3, 1], [5, 1]], 43/7900913664000],
[[[1, 19], [2, 1], [3, 2]], 1049/94810963968000],
[[[1, 19], [2, 1], [5, 1]], 13/10534551552000],
[[[1, 19], [2, 3], [3, 1]], 21257/379243855872000],
[[[1, 19], [2, 3], [4, 1]], 929/84276412416000],
[[[1, 20], [2, 2], [3, 1]], 353/126414618624000],
[[[1, 20], [2, 2], [4, 1]], 41/126414618624000],
[[[1, 21], [2, 1], [3, 1]], 29/379243855872000],
[[[1, 21], [2, 1], [4, 1]], 1/252829237248000],
[[[2, 2], [6, 2], [18, 3]], 1/972],
[[[2, 2], [6, 5], [18, 2]], 1/52488],
[[[2, 4], [6, 4], [18, 2]], 55/34992],
[[[2, 4], [6, 7], [18, 1]], 1/944784],
[[[2, 6], [6, 3], [10, 3]], 1/40500],
[[[2, 6], [6, 3], [14, 2]], 1/127008],
[[[2, 6], [6, 3], [18, 2]], 1/699840],
[[[2, 6], [6, 5], [10, 2]], 1/145800],
[[[2, 6], [6, 6], [14, 1]], 1/1469664],
[[[2, 6], [6, 6], [18, 1]], 253/3149280],
[[[2, 6], [6, 7], [10, 1]], 1/1574640],
[[[2, 8], [6, 2], [10, 3]], 1/108000],
[[[2, 8], [6, 2], [14, 2]], 1/84672],
[[[2, 8], [6, 2], [18, 2]], 1/117573120],
[[[2, 8], [6, 4], [10, 2]], 7/583200],
[[[2, 8], [6, 5], [14, 1]], 1/489888],
[[[2, 8], [6, 5], [18, 1]], 1/393660],
[[[2, 8], [6, 6], [10, 1]], 5/2519424],
[[[2, 8], [10, 1], [14, 2]], 1/94080],
[[[2, 10], [6, 1], [10, 3]], 1/864000],
[[[2, 10], [6, 1], [14, 2]], 1/1693440],
[[[2, 10], [6, 3], [10, 2]], 149/46656000],
[[[2, 10], [6, 4], [14, 1]], 1/612360],
[[[2, 10], [6, 4], [18, 1]], 253/1058158080],
[[[2, 10], [6, 5], [10, 1]], 37/20995200],
[[[2, 10], [10, 2], [14, 1]], 1/806400],
[[[2, 12], [6, 2], [10, 2]], 191/653184000],
[[[2, 12], [6, 3], [14, 1]], 253/1646023680],
[[[2, 12], [6, 3], [18, 1]], 13/1763596800],
[[[2, 12], [6, 4], [10, 1]], 589/1763596800],
[[[2, 14], [6, 1], [10, 2]], 23/2612736000],
[[[2, 14], [6, 2], [14, 1]], 13/2743372800],
[[[2, 14], [6, 2], [18, 1]], 1/14108774400],
[[[2, 14], [6, 3], [10, 1]], 1577/70543872000],
[[[2, 14], [10, 1], [14, 1]], 1/1219276800],
[[[2, 16], [6, 1], [14, 1]], 1/21946982400],
[[[2, 16], [6, 1], [18, 1]], 1/4740548198400],
[[[2, 16], [6, 2], [10, 1]], 1/1679616000],
[[[2, 18], [6, 1], [10, 1]], 43/7900913664000],
[[[1, 1], [2, 3], [6, 4], [18, 2]], 1/11664],
[[[1, 1], [2, 5], [3, 1], [6, 8]], 1/1889568],
[[[1, 1], [2, 5], [6, 3], [14, 2]], 1/63504],
[[[1, 1], [2, 5], [6, 3], [18, 2]], 1/46656],
[[[1, 1], [2, 5], [6, 6], [14, 1]], 1/1469664],
[[[1, 1], [2, 5], [6, 6], [18, 1]], 1/104976],
[[[1, 1], [2, 7], [3, 1], [6, 7]], 38/2066715],
[[[1, 1], [2, 7], [4, 1], [6, 7]], 1/2519424],
[[[1, 1], [2, 7], [6, 2], [10, 3]], 1/18000],
[[[1, 1], [2, 7], [6, 2], [14, 2]], 5/84672],
[[[1, 1], [2, 7], [6, 2], [18, 2]], 1/3265920],
[[[1, 1], [2, 7], [6, 4], [10, 2]], 1/24300],
[[[1, 1], [2, 7], [6, 5], [14, 1]], 1/122472],
[[[1, 1], [2, 7], [6, 5], [18, 1]], 7/419904],
[[[1, 1], [2, 7], [6, 6], [10, 1]], 13/2099520],
[[[1, 1], [2, 7], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 9], [3, 1], [6, 6]], 13/6298560],
[[[1, 1], [2, 9], [4, 1], [6, 6]], 61/50388480],
[[[1, 1], [2, 9], [4, 1], [10, 3]], 1/1152000],
[[[1, 1], [2, 9], [4, 1], [14, 2]], 1/376320],
[[[1, 1], [2, 9], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 9], [6, 1], [14, 2]], 17/1693440],
[[[1, 1], [2, 9], [6, 3], [10, 2]], 1/31104],
[[[1, 1], [2, 9], [6, 4], [14, 1]], 121/9797760],
[[[1, 1], [2, 9], [6, 4], [18, 1]], 127/29393280],
[[[1, 1], [2, 9], [6, 5], [10, 1]], 17/1399680],
[[[1, 1], [2, 9], [10, 2], [14, 1]], 13/806400],
[[[1, 1], [2, 11], [3, 1], [6, 5]], 1597/2116316160],
[[[1, 1], [2, 11], [4, 1], [6, 5]], 17/16796160],
[[[1, 1], [2, 11], [6, 2], [10, 2]], 379/72576000],
[[[1, 1], [2, 11], [6, 3], [14, 1]], 965/329204736],
[[[1, 1], [2, 11], [6, 3], [18, 1]], 11/47029248],
[[[1, 1], [2, 11], [6, 4], [10, 1]], 977/195955200],
[[[1, 1], [2, 13], [3, 1], [6, 4]], 1343/21163161600],
[[[1, 1], [2, 13], [4, 1], [6, 4]], 1937/14108774400],
[[[1, 1], [2, 13], [4, 1], [10, 2]], 1/27216000],
[[[1, 1], [2, 13], [6, 1], [10, 2]], 31/124416000],
[[[1, 1], [2, 13], [6, 2], [14, 1]], 851/5486745600],
[[[1, 1], [2, 13], [6, 2], [18, 1]], 17/4702924800],
[[[1, 1], [2, 13], [6, 3], [10, 1]], 269/470292480],
[[[1, 1], [2, 13], [10, 1], [14, 1]], 43/1219276800],
[[[1, 1], [2, 15], [3, 1], [6, 3]], 53/28217548800],
[[[1, 1], [2, 15], [4, 1], [6, 3]], 409/56435097600],
[[[1, 1], [2, 15], [4, 1], [14, 1]], 1/4877107200],
[[[1, 1], [2, 15], [6, 1], [14, 1]], 13/5486745600],
[[[1, 1], [2, 15], [6, 1], [18, 1]], 1/65840947200],
[[[1, 1], [2, 15], [6, 2], [10, 1]], 361/15676416000],
[[[1, 1], [2, 17], [3, 1], [6, 2]], 169/9481096396800],
[[[1, 1], [2, 17], [4, 1], [6, 2]], 31/188116992000],
[[[1, 1], [2, 17], [4, 1], [8, 1]], 1/4213820620800],
[[[1, 1], [2, 17], [4, 1], [10, 1]], 253/10534551552000],
[[[1, 1], [2, 17], [6, 1], [10, 1]], 137/438939648000],
[[[1, 1], [2, 19], [3, 1], [6, 1]], 1/18962192793600],
[[[1, 1], [2, 19], [4, 1], [6, 1]], 89/63207309312000],
[[[1, 2], [2, 4], [3, 2], [6, 7]], 1/209952],
[[[1, 2], [2, 4], [3, 3], [6, 6]], 1/104976],
[[[1, 2], [2, 4], [6, 3], [14, 2]], 1/127008],
[[[1, 2], [2, 4], [6, 3], [18, 2]], 1/15552],
[[[1, 2], [2, 4], [7, 1], [14, 2]], 1/784],
[[[1, 2], [2, 6], [3, 1], [6, 7]], 7/1259712],
[[[1, 2], [2, 6], [3, 2], [6, 6]], 779/4199040],
[[[1, 2], [2, 6], [3, 3], [6, 5]], 1/69984],
[[[1, 2], [2, 6], [4, 1], [6, 7]], 1/2519424],
[[[1, 2], [2, 6], [4, 2], [6, 6]], 1/3359232],
[[[1, 2], [2, 6], [4, 2], [10, 3]], 1/192000],
[[[1, 2], [2, 6], [4, 2], [14, 2]], 1/25088],
[[[1, 2], [2, 6], [6, 2], [10, 3]], 1/36000],
[[[1, 2], [2, 6], [6, 2], [14, 2]], 1/12096],
[[[1, 2], [2, 6], [6, 2], [18, 2]], 1/311040],
[[[1, 2], [2, 6], [6, 4], [10, 2]], 1/194400],
[[[1, 2], [2, 6], [6, 5], [14, 1]], 1/163296],
[[[1, 2], [2, 6], [6, 5], [18, 1]], 1/34992],
[[[1, 2], [2, 6], [6, 6], [10, 1]], 1/4199040],
[[[1, 2], [2, 6], [10, 1], [14, 2]], 1/5880],
[[[1, 2], [2, 8], [3, 1], [6, 6]], 11/839808],
[[[1, 2], [2, 8], [3, 2], [6, 5]], 73/8398080],
[[[1, 2], [2, 8], [3, 3], [6, 4]], 1/1399680],
[[[1, 2], [2, 8], [4, 1], [6, 6]], 25/5038848],
[[[1, 2], [2, 8], [4, 1], [10, 3]], 1/96000],
[[[1, 2], [2, 8], [4, 1], [14, 2]], 1/31360],
[[[1, 2], [2, 8], [4, 2], [6, 5]], 1/279936],
[[[1, 2], [2, 8], [6, 1], [10, 3]], 7/144000],
[[[1, 2], [2, 8], [6, 1], [14, 2]], 19/423360],
[[[1, 2], [2, 8], [6, 3], [10, 2]], 127/1555200],
[[[1, 2], [2, 8], [6, 4], [14, 1]], 19/653184],
[[[1, 2], [2, 8], [6, 4], [18, 1]], 61/2799360],
[[[1, 2], [2, 8], [6, 5], [10, 1]], 31/1399680],
[[[1, 2], [2, 8], [10, 2], [14, 1]], 3/44800],
[[[1, 2], [2, 10], [3, 1], [6, 5]], 121/14696640],
[[[1, 2], [2, 10], [3, 2], [6, 4]], 1009/470292480],
[[[1, 2], [2, 10], [3, 3], [6, 3]], 1/235146240],
[[[1, 2], [2, 10], [4, 1], [6, 5]], 67/8398080],
[[[1, 2], [2, 10], [4, 2], [6, 4]], 7/1399680],
[[[1, 2], [2, 10], [4, 2], [8, 2]], 1/30965760],
[[[1, 2], [2, 10], [4, 2], [10, 2]], 71/72576000],
[[[1, 2], [2, 10], [6, 2], [10, 2]], 163/5184000],
[[[1, 2], [2, 10], [6, 3], [14, 1]], 307/18289152],
[[[1, 2], [2, 10], [6, 3], [18, 1]], 67/26127360],
[[[1, 2], [2, 10], [6, 4], [10, 1]], 163/6998400],
[[[1, 2], [2, 10], [7, 1], [14, 1]], 1/20321280],
[[[1, 2], [2, 12], [3, 1], [6, 4]], 971/705438720],
[[[1, 2], [2, 12], [3, 2], [6, 3]], 43/470292480],
[[[1, 2], [2, 12], [4, 1], [6, 4]], 7051/2821754880],
[[[1, 2], [2, 12], [4, 1], [10, 2]], 17/20736000],
[[[1, 2], [2, 12], [4, 2], [6, 3]], 12731/18811699200],
[[[1, 2], [2, 12], [4, 2], [14, 1]], 131/1625702400],
[[[1, 2], [2, 12], [6, 1], [10, 2]], 2267/870912000],
[[[1, 2], [2, 12], [6, 2], [14, 1]], 47/26127360],
[[[1, 2], [2, 12], [6, 2], [18, 1]], 107/1567641600],
[[[1, 2], [2, 12], [6, 3], [10, 1]], 24319/4702924800],
[[[1, 2], [2, 12], [10, 1], [14, 1]], 71/135475200],
[[[1, 2], [2, 14], [3, 1], [6, 3]], 619/9405849600],
[[[1, 2], [2, 14], [3, 2], [6, 2]], 1/1881169920],
[[[1, 2], [2, 14], [4, 1], [6, 3]], 109/503884800],
[[[1, 2], [2, 14], [4, 1], [14, 1]], 47/4877107200],
[[[1, 2], [2, 14], [4, 2], [6, 2]], 419/12541132800],
[[[1, 2], [2, 14], [4, 2], [8, 1]], 1/2786918400],
[[[1, 2], [2, 14], [4, 2], [10, 1]], 19/1990656000],
[[[1, 2], [2, 14], [6, 1], [14, 1]], 169/3657830400],
[[[1, 2], [2, 14], [6, 1], [18, 1]], 19/43893964800],
[[[1, 2], [2, 14], [6, 2], [10, 1]], 5333/15676416000],
[[[1, 2], [2, 16], [3, 1], [6, 2]], 127/131681894400],
[[[1, 2], [2, 16], [4, 1], [6, 2]], 269/37623398400],
[[[1, 2], [2, 16], [4, 1], [8, 1]], 1/58525286400],
[[[1, 2], [2, 16], [4, 1], [10, 1]], 61/48771072000],
[[[1, 2], [2, 16], [4, 2], [6, 1]], 23/35831808000],
[[[1, 2], [2, 16], [6, 1], [10, 1]], 1541/219469824000],
[[[1, 2], [2, 18], [3, 1], [6, 1]], 1/252829237248],
[[[1, 2], [2, 18], [4, 1], [6, 1]], 5489/63207309312000],
[[[1, 2], [3, 2], [7, 1], [9, 2]], 1/4536],
[[[1, 2], [3, 2], [7, 1], [21, 1]], 1/84],
[[[1, 2], [3, 3], [5, 1], [9, 2]], 1/4860],
[[[1, 3], [2, 1], [3, 4], [9, 2]], 1/11664],
[[[1, 3], [2, 3], [3, 3], [6, 6]], 1/69984],
[[[1, 3], [2, 3], [3, 3], [9, 2]], 1/46656],
[[[1, 3], [2, 3], [3, 4], [6, 5]], 1/11664],
[[[1, 3], [2, 3], [3, 5], [6, 4]], 1/11664],
[[[1, 3], [2, 3], [3, 6], [6, 3]], 1/69984],
[[[1, 3], [2, 3], [4, 3], [5, 3]], 1/96000],
[[[1, 3], [2, 3], [4, 3], [8, 3]], 7/3072],
[[[1, 3], [2, 3], [4, 3], [10, 3]], 1/96000],
[[[1, 3], [2, 3], [6, 3], [18, 2]], 1/46656],
[[[1, 3], [2, 3], [7, 1], [14, 2]], 1/784],
[[[1, 3], [2, 3], [7, 2], [14, 1]], 1/784],
[[[1, 3], [2, 5], [3, 2], [6, 6]], 5/139968],
[[[1, 3], [2, 5], [3, 3], [6, 5]], 5/7776],
[[[1, 3], [2, 5], [3, 4], [6, 4]], 1/23328],
[[[1, 3], [2, 5], [4, 2], [10, 3]], 1/32000],
[[[1, 3], [2, 5], [4, 2], [14, 2]], 1/12544],
[[[1, 3], [2, 5], [6, 2], [14, 2]], 1/28224],
[[[1, 3], [2, 5], [6, 2], [18, 2]], 1/93312],
[[[1, 3], [2, 5], [6, 5], [18, 1]], 1/419904],
[[[1, 3], [2, 5], [10, 1], [14, 2]], 1/7840],
[[[1, 3], [2, 7], [3, 1], [6, 6]], 1/46656],
[[[1, 3], [2, 7], [3, 2], [6, 5]], 31/559872],
[[[1, 3], [2, 7], [3, 3], [6, 4]], 1/46656],
[[[1, 3], [2, 7], [4, 1], [6, 6]], 13/3359232],
[[[1, 3], [2, 7], [4, 1], [10, 3]], 7/192000],
[[[1, 3], [2, 7], [4, 1], [14, 2]], 3/31360],
[[[1, 3], [2, 7], [4, 2], [6, 5]], 1/124416],
[[[1, 3], [2, 7], [4, 3], [6, 4]], 1/248832],
[[[1, 3], [2, 7], [4, 3], [8, 2]], 1/40960],
[[[1, 3], [2, 7], [4, 3], [10, 2]], 1/128000],
[[[1, 3], [2, 7], [6, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 7], [6, 1], [14, 2]], 1/14112],
[[[1, 3], [2, 7], [6, 3], [10, 2]], 1/28800],
[[[1, 3], [2, 7], [6, 4], [14, 1]], 13/653184],
[[[1, 3], [2, 7], [6, 4], [18, 1]], 31/839808],
[[[1, 3], [2, 7], [6, 5], [10, 1]], 1/279936],
[[[1, 3], [2, 7], [10, 2], [14, 1]], 13/134400],
[[[1, 3], [2, 9], [3, 1], [6, 5]], 19/622080],
[[[1, 3], [2, 9], [3, 2], [6, 4]], 59/2612736],
[[[1, 3], [2, 9], [3, 3], [6, 3]], 19/9797760],
[[[1, 3], [2, 9], [4, 1], [6, 5]], 11/559872],
[[[1, 3], [2, 9], [4, 2], [6, 4]], 23/829440],
[[[1, 3], [2, 9], [4, 2], [8, 2]], 1/860160],
[[[1, 3], [2, 9], [4, 2], [10, 2]], 109/8064000],
[[[1, 3], [2, 9], [4, 3], [6, 3]], 61/4976640],
[[[1, 3], [2, 9], [4, 3], [14, 1]], 1/430080],
[[[1, 3], [2, 9], [6, 2], [10, 2]], 1/13824],
[[[1, 3], [2, 9], [6, 3], [14, 1]], 493/13063680],
[[[1, 3], [2, 9], [6, 3], [18, 1]], 13/1119744],
[[[1, 3], [2, 9], [6, 4], [10, 1]], 109/2799360],
[[[1, 3], [2, 9], [7, 1], [14, 1]], 1/564480],
[[[1, 3], [2, 11], [3, 1], [6, 4]], 521/52254720],
[[[1, 3], [2, 11], [3, 2], [6, 3]], 307/156764160],
[[[1, 3], [2, 11], [4, 1], [6, 4]], 2221/156764160],
[[[1, 3], [2, 11], [4, 1], [10, 2]], 979/145152000],
[[[1, 3], [2, 11], [4, 2], [6, 3]], 181/17418240],
[[[1, 3], [2, 11], [4, 2], [14, 1]], 2831/1625702400],
[[[1, 3], [2, 11], [4, 3], [6, 2]], 1/663552],
[[[1, 3], [2, 11], [4, 3], [8, 1]], 151/928972800],
[[[1, 3], [2, 11], [4, 3], [10, 1]], 761/2322432000],
[[[1, 3], [2, 11], [6, 1], [10, 2]], 1219/96768000],
[[[1, 3], [2, 11], [6, 2], [14, 1]], 1111/121927680],
[[[1, 3], [2, 11], [6, 2], [18, 1]], 571/940584960],
[[[1, 3], [2, 11], [6, 3], [10, 1]], 8039/391910400],
[[[1, 3], [2, 11], [10, 1], [14, 1]], 1411/406425600],
[[[1, 3], [2, 13], [3, 1], [6, 3]], 127/149299200],
[[[1, 3], [2, 13], [3, 2], [6, 2]], 1/44789760],
[[[1, 3], [2, 13], [4, 1], [6, 3]], 43931/18811699200],
[[[1, 3], [2, 13], [4, 1], [14, 1]], 799/4877107200],
[[[1, 3], [2, 13], [4, 2], [6, 2]], 241/278691840],
[[[1, 3], [2, 13], [4, 2], [8, 1]], 23/1393459200],
[[[1, 3], [2, 13], [4, 2], [10, 1]], 1789/6967296000],
[[[1, 3], [2, 13], [4, 3], [6, 1]], 173/2786918400],
[[[1, 3], [2, 13], [6, 1], [14, 1]], 397/914457600],
[[[1, 3], [2, 13], [6, 1], [18, 1]], 59/9405849600],
[[[1, 3], [2, 13], [6, 2], [10, 1]], 1531/627056640],
[[[1, 3], [2, 15], [3, 1], [6, 2]], 13/650280960],
[[[1, 3], [2, 15], [4, 1], [6, 2]], 1517/12541132800],
[[[1, 3], [2, 15], [4, 1], [8, 1]], 19/39016857600],
[[[1, 3], [2, 15], [4, 1], [10, 1]], 809/32514048000],
[[[1, 3], [2, 15], [4, 2], [6, 1]], 1/41287680],
[[[1, 3], [2, 15], [6, 1], [10, 1]], 181/2239488000],
[[[1, 3], [2, 17], [3, 1], [6, 1]], 1/8360755200],
[[[1, 3], [2, 17], [4, 1], [6, 1]], 3767/1755758592000],
[[[1, 4], [2, 2], [3, 3], [7, 2]], 1/127008],
[[[1, 4], [2, 2], [3, 3], [9, 2]], 1/15552],
[[[1, 4], [2, 2], [3, 6], [6, 3]], 1/104976],
[[[1, 4], [2, 2], [3, 7], [6, 2]], 1/209952],
[[[1, 4], [2, 2], [7, 2], [14, 1]], 1/784],
[[[1, 4], [2, 4], [3, 2], [9, 2]], 1/124416],
[[[1, 4], [2, 4], [3, 3], [6, 5]], 1/15552],
[[[1, 4], [2, 4], [3, 4], [6, 4]], 35/31104],
[[[1, 4], [2, 4], [3, 5], [6, 3]], 1/15552],
[[[1, 4], [2, 4], [4, 2], [5, 3]], 1/64000],
[[[1, 4], [2, 4], [4, 2], [7, 2]], 1/25088],
[[[1, 4], [2, 4], [4, 2], [10, 3]], 1/64000],
[[[1, 4], [2, 4], [4, 2], [14, 2]], 1/25088],
[[[1, 4], [2, 4], [4, 4], [5, 2]], 1/51200],
[[[1, 4], [2, 4], [4, 4], [8, 2]], 11/4096],
[[[1, 4], [2, 4], [4, 4], [10, 2]], 1/51200],
[[[1, 4], [2, 4], [5, 1], [7, 2]], 1/31360],
[[[1, 4], [2, 4], [6, 2], [18, 2]], 1/124416],
[[[1, 4], [2, 4], [10, 1], [14, 2]], 1/31360],
[[[1, 4], [2, 6], [3, 1], [6, 6]], 1/839808],
[[[1, 4], [2, 6], [3, 2], [6, 5]], 59/559872],
[[[1, 4], [2, 6], [3, 3], [6, 4]], 1/10368],
[[[1, 4], [2, 6], [4, 1], [10, 3]], 1/32000],
[[[1, 4], [2, 6], [4, 1], [14, 2]], 1/9408],
[[[1, 4], [2, 6], [4, 2], [6, 5]], 1/373248],
[[[1, 4], [2, 6], [4, 3], [6, 4]], 1/248832],
[[[1, 4], [2, 6], [4, 3], [8, 2]], 1/4096],
[[[1, 4], [2, 6], [4, 3], [10, 2]], 1/19200],
[[[1, 4], [2, 6], [4, 4], [6, 3]], 11/1990656],
[[[1, 4], [2, 6], [4, 4], [14, 1]], 11/172032],
[[[1, 4], [2, 6], [6, 1], [10, 3]], 1/96000],
[[[1, 4], [2, 6], [6, 1], [14, 2]], 5/112896],
[[[1, 4], [2, 6], [6, 3], [10, 2]], 1/1036800],
[[[1, 4], [2, 6], [6, 4], [14, 1]], 1/653184],
[[[1, 4], [2, 6], [6, 4], [18, 1]], 13/1119744],
[[[1, 4], [2, 6], [10, 2], [14, 1]], 1/17920],
[[[1, 4], [2, 8], [3, 1], [6, 5]], 17/419904],
[[[1, 4], [2, 8], [3, 2], [6, 4]], 383/3732480],
[[[1, 4], [2, 8], [3, 3], [6, 3]], 11/622080],
[[[1, 4], [2, 8], [4, 1], [6, 5]], 1/69984],
[[[1, 4], [2, 8], [4, 2], [6, 4]], 1/23328],
[[[1, 4], [2, 8], [4, 2], [8, 2]], 1/81920],
[[[1, 4], [2, 8], [4, 2], [10, 2]], 11/192000],
[[[1, 4], [2, 8], [4, 3], [6, 3]], 11/248832],
[[[1, 4], [2, 8], [4, 3], [14, 1]], 11/430080],
[[[1, 4], [2, 8], [4, 4], [6, 2]], 29/1327104],
[[[1, 4], [2, 8], [4, 4], [8, 1]], 1/49152],
[[[1, 4], [2, 8], [4, 4], [10, 1]], 67/7372800],
[[[1, 4], [2, 8], [5, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 8], [6, 2], [10, 2]], 7/138240],
[[[1, 4], [2, 8], [6, 3], [14, 1]], 163/5225472],
[[[1, 4], [2, 8], [6, 3], [18, 1]], 1/46656],
[[[1, 4], [2, 8], [6, 4], [10, 1]], 1/69120],
[[[1, 4], [2, 8], [7, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 10], [3, 1], [6, 4]], 527/16796160],
[[[1, 4], [2, 10], [3, 2], [6, 3]], 391/26127360],
[[[1, 4], [2, 10], [4, 1], [6, 4]], 719/22394880],
[[[1, 4], [2, 10], [4, 1], [10, 2]], 607/24192000],
[[[1, 4], [2, 10], [4, 2], [6, 3]], 1361/29859840],
[[[1, 4], [2, 10], [4, 2], [14, 1]], 233/18063360],
[[[1, 4], [2, 10], [4, 3], [6, 2]], 13/663552],
[[[1, 4], [2, 10], [4, 3], [8, 1]], 19/5160960],
[[[1, 4], [2, 10], [4, 3], [10, 1]], 71/12902400],
[[[1, 4], [2, 10], [4, 4], [6, 1]], 47/26542080],
[[[1, 4], [2, 10], [6, 1], [10, 2]], 131/4608000],
[[[1, 4], [2, 10], [6, 2], [14, 1]], 37/1741824],
[[[1, 4], [2, 10], [6, 2], [18, 1]], 277/104509440],
[[[1, 4], [2, 10], [6, 3], [10, 1]], 877/24883200],
[[[1, 4], [2, 10], [10, 1], [14, 1]], 59/5419008],
[[[1, 4], [2, 12], [3, 1], [6, 3]], 9649/1881169920],
[[[1, 4], [2, 12], [3, 2], [6, 2]], 41/125411328],
[[[1, 4], [2, 12], [4, 1], [6, 3]], 1013/89579520],
[[[1, 4], [2, 12], [4, 1], [14, 1]], 2111/1625702400],
[[[1, 4], [2, 12], [4, 2], [6, 2]], 3299/418037760],
[[[1, 4], [2, 12], [4, 2], [8, 1]], 793/2786918400],
[[[1, 4], [2, 12], [4, 2], [10, 1]], 449/172032000],
[[[1, 4], [2, 12], [4, 3], [6, 1]], 3881/2786918400],
[[[1, 4], [2, 12], [5, 1], [10, 1]], 1/174182400],
[[[1, 4], [2, 12], [6, 1], [14, 1]], 383/182891520],
[[[1, 4], [2, 12], [6, 1], [18, 1]], 89/1791590400],
[[[1, 4], [2, 12], [6, 2], [10, 1]], 209/23224320],
[[[1, 4], [2, 14], [3, 1], [6, 2]], 3877/18811699200],
[[[1, 4], [2, 14], [4, 1], [6, 2]], 1823/1791590400],
[[[1, 4], [2, 14], [4, 1], [8, 1]], 59/8360755200],
[[[1, 4], [2, 14], [4, 1], [10, 1]], 5177/20901888000],
[[[1, 4], [2, 14], [4, 2], [6, 1]], 5909/16721510400],
[[[1, 4], [2, 14], [6, 1], [10, 1]], 1201/2322432000],
[[[1, 4], [2, 16], [3, 1], [6, 1]], 997/526727577600],
[[[1, 4], [2, 16], [4, 1], [6, 1]], 9731/351151718400],
[[[1, 4], [3, 1], [7, 2], [9, 1]], 1/7056],
[[[1, 4], [3, 2], [5, 1], [9, 2]], 1/38880],
[[[1, 4], [3, 3], [5, 2], [9, 1]], 1/8100],
[[[1, 4], [3, 4], [5, 1], [15, 1]], 1/720],
[[[1, 4], [3, 4], [7, 1], [9, 1]], 1/40824],
[[[1, 4], [3, 5], [5, 1], [9, 1]], 1/43740],
[[[1, 5], [2, 1], [3, 3], [7, 2]], 1/63504],
[[[1, 5], [2, 1], [3, 3], [9, 2]], 1/46656],
[[[1, 5], [2, 1], [3, 6], [7, 1]], 1/1469664],
[[[1, 5], [2, 1], [3, 6], [9, 1]], 1/104976],
[[[1, 5], [2, 1], [3, 8], [6, 1]], 1/1889568],
[[[1, 5], [2, 3], [3, 2], [7, 2]], 1/28224],
[[[1, 5], [2, 3], [3, 2], [9, 2]], 1/93312],
[[[1, 5], [2, 3], [3, 4], [6, 4]], 1/23328],
[[[1, 5], [2, 3], [3, 5], [6, 3]], 5/7776],
[[[1, 5], [2, 3], [3, 5], [9, 1]], 1/419904],
[[[1, 5], [2, 3], [3, 6], [6, 2]], 5/139968],
[[[1, 5], [2, 3], [4, 2], [5, 3]], 1/32000],
[[[1, 5], [2, 3], [4, 2], [7, 2]], 1/12544],
[[[1, 5], [2, 3], [5, 1], [7, 2]], 1/7840],
[[[1, 5], [2, 5], [3, 1], [7, 2]], 1/112896],
[[[1, 5], [2, 5], [3, 2], [6, 5]], 1/186624],
[[[1, 5], [2, 5], [3, 3], [6, 4]], 11/46656],
[[[1, 5], [2, 5], [3, 4], [6, 3]], 11/46656],
[[[1, 5], [2, 5], [3, 5], [6, 2]], 1/186624],
[[[1, 5], [2, 5], [4, 1], [5, 3]], 1/128000],
[[[1, 5], [2, 5], [4, 1], [7, 2]], 1/25088],
[[[1, 5], [2, 5], [4, 1], [10, 3]], 1/128000],
[[[1, 5], [2, 5], [4, 1], [14, 2]], 1/25088],
[[[1, 5], [2, 5], [4, 3], [5, 2]], 1/25600],
[[[1, 5], [2, 5], [4, 3], [8, 2]], 25/12288],
[[[1, 5], [2, 5], [4, 3], [10, 2]], 1/25600],
[[[1, 5], [2, 5], [4, 4], [7, 1]], 11/172032],
[[[1, 5], [2, 5], [4, 4], [14, 1]], 11/172032],
[[[1, 5], [2, 5], [4, 5], [5, 1]], 11/245760],
[[[1, 5], [2, 5], [4, 5], [8, 1]], 35/49152],
[[[1, 5], [2, 5], [4, 5], [10, 1]], 11/245760],
[[[1, 5], [2, 5], [5, 2], [7, 1]], 1/89600],
[[[1, 5], [2, 5], [6, 1], [14, 2]], 1/112896],
[[[1, 5], [2, 5], [10, 2], [14, 1]], 1/89600],
[[[1, 5], [2, 7], [3, 1], [6, 5]], 17/2239488],
[[[1, 5], [2, 7], [3, 2], [6, 4]], 7/41472],
[[[1, 5], [2, 7], [3, 3], [6, 3]], 11/93312],
[[[1, 5], [2, 7], [4, 1], [6, 5]], 1/1119744],
[[[1, 5], [2, 7], [4, 2], [6, 4]], 25/1492992],
[[[1, 5], [2, 7], [4, 2], [8, 2]], 1/24576],
[[[1, 5], [2, 7], [4, 2], [10, 2]], 17/230400],
[[[1, 5], [2, 7], [4, 3], [6, 3]], 133/2985984],
[[[1, 5], [2, 7], [4, 3], [14, 1]], 31/258048],
[[[1, 5], [2, 7], [4, 4], [6, 2]], 23/442368],
[[[1, 5], [2, 7], [4, 4], [8, 1]], 5/24576],
[[[1, 5], [2, 7], [4, 4], [10, 1]], 1/16384],
[[[1, 5], [2, 7], [4, 5], [6, 1]], 11/294912],
[[[1, 5], [2, 7], [5, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 7], [6, 2], [10, 2]], 7/691200],
[[[1, 5], [2, 7], [6, 3], [14, 1]], 13/1741824],
[[[1, 5], [2, 7], [6, 3], [18, 1]], 1/82944],
[[[1, 5], [2, 7], [6, 4], [10, 1]], 1/1866240],
[[[1, 5], [2, 7], [7, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 9], [3, 1], [6, 4]], 185/4478976],
[[[1, 5], [2, 9], [3, 2], [6, 3]], 73/1244160],
[[[1, 5], [2, 9], [4, 1], [6, 4]], 239/8957952],
[[[1, 5], [2, 9], [4, 1], [10, 2]], 1/24000],
[[[1, 5], [2, 9], [4, 2], [6, 3]], 217/2985984],
[[[1, 5], [2, 9], [4, 2], [14, 1]], 11/286720],
[[[1, 5], [2, 9], [4, 3], [6, 2]], 719/9953280],
[[[1, 5], [2, 9], [4, 3], [8, 1]], 19/491520],
[[[1, 5], [2, 9], [4, 3], [10, 1]], 401/11059200],
[[[1, 5], [2, 9], [4, 4], [6, 1]], 187/8847360],
[[[1, 5], [2, 9], [6, 1], [10, 2]], 73/2764800],
[[[1, 5], [2, 9], [6, 2], [14, 1]], 25/1161216],
[[[1, 5], [2, 9], [6, 2], [18, 1]], 1/184320],
[[[1, 5], [2, 9], [6, 3], [10, 1]], 31/1492992],
[[[1, 5], [2, 9], [10, 1], [14, 1]], 101/6451200],
[[[1, 5], [2, 11], [3, 1], [6, 3]], 3217/209018880],
[[[1, 5], [2, 11], [3, 2], [6, 2]], 17/7464960],
[[[1, 5], [2, 11], [4, 1], [6, 3]], 4597/179159040],
[[[1, 5], [2, 11], [4, 1], [14, 1]], 551/108380160],
[[[1, 5], [2, 11], [4, 2], [6, 2]], 4283/139345920],
[[[1, 5], [2, 11], [4, 2], [8, 1]], 13/5160960],
[[[1, 5], [2, 11], [4, 2], [10, 1]], 961/77414400],
[[[1, 5], [2, 11], [4, 3], [6, 1]], 3091/278691840],
[[[1, 5], [2, 11], [5, 1], [10, 1]], 1/4838400],
[[[1, 5], [2, 11], [6, 1], [14, 1]], 211/40642560],
[[[1, 5], [2, 11], [6, 1], [18, 1]], 1/4644864],
[[[1, 5], [2, 11], [6, 2], [10, 1]], 817/49766400],
[[[1, 5], [2, 13], [3, 1], [6, 2]], 28663/25082265600],
[[[1, 5], [2, 13], [4, 1], [6, 2]], 11341/2508226560],
[[[1, 5], [2, 13], [4, 1], [8, 1]], 71/1238630400],
[[[1, 5], [2, 13], [4, 1], [10, 1]], 37259/27869184000],
[[[1, 5], [2, 13], [4, 2], [6, 1]], 42107/16721510400],
[[[1, 5], [2, 13], [6, 1], [10, 1]], 557/298598400],
[[[1, 5], [2, 15], [3, 1], [6, 1]], 859/50164531200],
[[[1, 5], [2, 15], [4, 1], [6, 1]], 20437/100329062400],
[[[1, 6], [2, 2], [3, 2], [5, 3]], 1/36000],
[[[1, 6], [2, 2], [3, 2], [7, 2]], 1/12096],
[[[1, 6], [2, 2], [3, 2], [9, 2]], 1/311040],
[[[1, 6], [2, 2], [3, 4], [5, 2]], 1/194400],
[[[1, 6], [2, 2], [3, 5], [6, 3]], 1/69984],
[[[1, 6], [2, 2], [3, 5], [7, 1]], 1/163296],
[[[1, 6], [2, 2], [3, 5], [9, 1]], 1/34992],
[[[1, 6], [2, 2], [3, 6], [4, 2]], 1/3359232],
[[[1, 6], [2, 2], [3, 6], [5, 1]], 1/4199040],
[[[1, 6], [2, 2], [3, 6], [6, 2]], 779/4199040],
[[[1, 6], [2, 2], [3, 7], [4, 1]], 1/2519424],
[[[1, 6], [2, 2], [3, 7], [6, 1]], 7/1259712],
[[[1, 6], [2, 2], [4, 2], [5, 3]], 1/192000],
[[[1, 6], [2, 2], [4, 2], [7, 2]], 1/25088],
[[[1, 6], [2, 2], [5, 1], [7, 2]], 1/5880],
[[[1, 6], [2, 4], [3, 1], [5, 3]], 1/96000],
[[[1, 6], [2, 4], [3, 1], [7, 2]], 5/112896],
[[[1, 6], [2, 4], [3, 3], [4, 4]], 11/1990656],
[[[1, 6], [2, 4], [3, 3], [5, 2]], 1/1036800],
[[[1, 6], [2, 4], [3, 4], [4, 3]], 1/248832],
[[[1, 6], [2, 4], [3, 4], [6, 3]], 1/10368],
[[[1, 6], [2, 4], [3, 4], [7, 1]], 1/653184],
[[[1, 6], [2, 4], [3, 4], [9, 1]], 13/1119744],
[[[1, 6], [2, 4], [3, 5], [4, 2]], 1/373248],
[[[1, 6], [2, 4], [3, 5], [6, 2]], 59/559872],
[[[1, 6], [2, 4], [3, 6], [6, 1]], 1/839808],
[[[1, 6], [2, 4], [4, 1], [5, 3]], 1/32000],
[[[1, 6], [2, 4], [4, 1], [7, 2]], 1/9408],
[[[1, 6], [2, 4], [4, 3], [5, 2]], 1/19200],
[[[1, 6], [2, 4], [4, 3], [8, 2]], 1/4096],
[[[1, 6], [2, 4], [4, 4], [7, 1]], 11/172032],
[[[1, 6], [2, 4], [5, 2], [7, 1]], 1/17920],
[[[1, 6], [2, 6], [3, 1], [4, 5]], 11/294912],
[[[1, 6], [2, 6], [3, 2], [4, 4]], 1/73728],
[[[1, 6], [2, 6], [3, 2], [6, 4]], 1/55296],
[[[1, 6], [2, 6], [3, 3], [4, 3]], 1/165888],
[[[1, 6], [2, 6], [3, 3], [6, 3]], 61/124416],
[[[1, 6], [2, 6], [3, 3], [9, 1]], 1/746496],
[[[1, 6], [2, 6], [3, 4], [6, 2]], 1/55296],
[[[1, 6], [2, 6], [4, 2], [5, 2]], 1/38400],
[[[1, 6], [2, 6], [4, 2], [8, 2]], 47/245760],
[[[1, 6], [2, 6], [4, 2], [10, 2]], 1/38400],
[[[1, 6], [2, 6], [4, 3], [6, 3]], 1/165888],
[[[1, 6], [2, 6], [4, 3], [7, 1]], 25/258048],
[[[1, 6], [2, 6], [4, 3], [14, 1]], 25/258048],
[[[1, 6], [2, 6], [4, 4], [5, 1]], 133/1474560],
[[[1, 6], [2, 6], [4, 4], [6, 2]], 1/73728],
[[[1, 6], [2, 6], [4, 4], [8, 1]], 85/73728],
[[[1, 6], [2, 6], [4, 4], [10, 1]], 133/1474560],
[[[1, 6], [2, 6], [4, 5], [6, 1]], 11/294912],
[[[1, 6], [2, 6], [5, 1], [10, 2]], 1/19200],
[[[1, 6], [2, 6], [5, 2], [10, 1]], 1/19200],
[[[1, 6], [2, 6], [6, 3], [18, 1]], 1/746496],
[[[1, 6], [2, 6], [7, 1], [14, 1]], 1/10752],
[[[1, 6], [2, 8], [3, 1], [6, 4]], 173/11197440],
[[[1, 6], [2, 8], [3, 2], [6, 3]], 17/165888],
[[[1, 6], [2, 8], [4, 1], [6, 4]], 5/995328],
[[[1, 6], [2, 8], [4, 1], [10, 2]], 13/460800],
[[[1, 6], [2, 8], [4, 2], [6, 3]], 787/19906560],
[[[1, 6], [2, 8], [4, 2], [14, 1]], 341/5160960],
[[[1, 6], [2, 8], [4, 3], [6, 2]], 61/663552],
[[[1, 6], [2, 8], [4, 3], [8, 1]], 3/16384],
[[[1, 6], [2, 8], [4, 3], [10, 1]], 7/73728],
[[[1, 6], [2, 8], [4, 4], [6, 1]], 157/1769472],
[[[1, 6], [2, 8], [6, 1], [10, 2]], 1/102400],
[[[1, 6], [2, 8], [6, 2], [14, 1]], 5/580608],
[[[1, 6], [2, 8], [6, 2], [18, 1]], 13/2985984],
[[[1, 6], [2, 8], [6, 3], [10, 1]], 17/4976640],
[[[1, 6], [2, 8], [10, 1], [14, 1]], 13/1290240],
[[[1, 6], [2, 10], [3, 1], [6, 3]], 683/29859840],
[[[1, 6], [2, 10], [3, 2], [6, 2]], 29/3317760],
[[[1, 6], [2, 10], [4, 1], [6, 3]], 25/995328],
[[[1, 6], [2, 10], [4, 1], [14, 1]], 151/15482880],
[[[1, 6], [2, 10], [4, 2], [6, 2]], 727/13271040],
[[[1, 6], [2, 10], [4, 2], [8, 1]], 593/44236800],
[[[1, 6], [2, 10], [4, 2], [10, 1]], 1337/44236800],
[[[1, 6], [2, 10], [4, 3], [6, 1]], 103/2654208],
[[[1, 6], [2, 10], [5, 1], [10, 1]], 1/460800],
[[[1, 6], [2, 10], [6, 1], [14, 1]], 73/11612160],
[[[1, 6], [2, 10], [6, 1], [18, 1]], 29/59719680],
[[[1, 6], [2, 10], [6, 2], [10, 1]], 43/3317760],
[[[1, 6], [2, 12], [3, 1], [6, 2]], 7327/2090188800],
[[[1, 6], [2, 12], [4, 1], [6, 2]], 979/92897280],
[[[1, 6], [2, 12], [4, 1], [8, 1]], 13/44236800],
[[[1, 6], [2, 12], [4, 1], [10, 1]], 29/7372800],
[[[1, 6], [2, 12], [4, 2], [6, 1]], 2467/265420800],
[[[1, 6], [2, 12], [6, 1], [10, 1]], 283/77414400],
[[[1, 6], [2, 14], [3, 1], [6, 1]], 131/1433272320],
[[[1, 6], [2, 14], [4, 1], [6, 1]], 1937/2229534720],
[[[1, 6], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 6], [3, 2], [5, 2], [7, 1]], 1/12600],
[[[1, 6], [3, 2], [5, 2], [9, 1]], 1/32400],
[[[1, 6], [3, 3], [7, 1], [9, 1]], 1/27216],
[[[1, 6], [3, 4], [5, 1], [7, 1]], 1/68040],
[[[1, 6], [3, 4], [5, 1], [9, 1]], 13/349920],
[[[1, 7], [2, 1], [3, 2], [5, 3]], 1/18000],
[[[1, 7], [2, 1], [3, 2], [7, 2]], 5/84672],
[[[1, 7], [2, 1], [3, 2], [9, 2]], 1/3265920],
[[[1, 7], [2, 1], [3, 4], [5, 2]], 1/24300],
[[[1, 7], [2, 1], [3, 5], [7, 1]], 1/122472],
[[[1, 7], [2, 1], [3, 5], [9, 1]], 7/419904],
[[[1, 7], [2, 1], [3, 6], [5, 1]], 13/2099520],
[[[1, 7], [2, 1], [3, 7], [4, 1]], 1/2519424],
[[[1, 7], [2, 1], [3, 7], [6, 1]], 38/2066715],
[[[1, 7], [2, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 7], [2, 3], [3, 1], [5, 3]], 1/24000],
[[[1, 7], [2, 3], [3, 1], [7, 2]], 1/14112],
[[[1, 7], [2, 3], [3, 3], [5, 2]], 1/28800],
[[[1, 7], [2, 3], [3, 4], [4, 3]], 1/248832],
[[[1, 7], [2, 3], [3, 4], [6, 3]], 1/46656],
[[[1, 7], [2, 3], [3, 4], [7, 1]], 13/653184],
[[[1, 7], [2, 3], [3, 4], [9, 1]], 31/839808],
[[[1, 7], [2, 3], [3, 5], [4, 2]], 1/124416],
[[[1, 7], [2, 3], [3, 5], [5, 1]], 1/279936],
[[[1, 7], [2, 3], [3, 5], [6, 2]], 31/559872],
[[[1, 7], [2, 3], [3, 6], [4, 1]], 13/3359232],
[[[1, 7], [2, 3], [3, 6], [6, 1]], 1/46656],
[[[1, 7], [2, 3], [4, 1], [5, 3]], 7/192000],
[[[1, 7], [2, 3], [4, 1], [7, 2]], 3/31360],
[[[1, 7], [2, 3], [4, 3], [5, 2]], 1/128000],
[[[1, 7], [2, 3], [4, 3], [8, 2]], 1/40960],
[[[1, 7], [2, 3], [5, 2], [7, 1]], 13/134400],
[[[1, 7], [2, 5], [3, 1], [4, 5]], 11/294912],
[[[1, 7], [2, 5], [3, 2], [4, 4]], 23/442368],
[[[1, 7], [2, 5], [3, 2], [5, 2]], 7/691200],
[[[1, 7], [2, 5], [3, 3], [4, 3]], 133/2985984],
[[[1, 7], [2, 5], [3, 3], [6, 3]], 11/93312],
[[[1, 7], [2, 5], [3, 3], [7, 1]], 13/1741824],
[[[1, 7], [2, 5], [3, 3], [9, 1]], 1/82944],
[[[1, 7], [2, 5], [3, 4], [4, 2]], 25/1492992],
[[[1, 7], [2, 5], [3, 4], [5, 1]], 1/1866240],
[[[1, 7], [2, 5], [3, 4], [6, 2]], 7/41472],
[[[1, 7], [2, 5], [3, 5], [4, 1]], 1/1119744],
[[[1, 7], [2, 5], [3, 5], [6, 1]], 17/2239488],
[[[1, 7], [2, 5], [4, 2], [5, 2]], 17/230400],
[[[1, 7], [2, 5], [4, 2], [8, 2]], 1/24576],
[[[1, 7], [2, 5], [4, 3], [7, 1]], 31/258048],
[[[1, 7], [2, 5], [4, 4], [5, 1]], 1/16384],
[[[1, 7], [2, 5], [4, 4], [8, 1]], 5/24576],
[[[1, 7], [2, 5], [5, 2], [10, 1]], 1/9600],
[[[1, 7], [2, 5], [7, 1], [14, 1]], 1/16128],
[[[1, 7], [2, 7], [3, 1], [4, 4]], 37/589824],
[[[1, 7], [2, 7], [3, 1], [5, 2]], 1/921600],
[[[1, 7], [2, 7], [3, 1], [6, 4]], 1/1492992],
[[[1, 7], [2, 7], [3, 2], [4, 3]], 1/55296],
[[[1, 7], [2, 7], [3, 2], [6, 3]], 101/2488320],
[[[1, 7], [2, 7], [3, 2], [7, 1]], 1/1161216],
[[[1, 7], [2, 7], [3, 2], [9, 1]], 1/995328],
[[[1, 7], [2, 7], [3, 3], [4, 2]], 1/331776],
[[[1, 7], [2, 7], [3, 3], [6, 2]], 101/2488320],
[[[1, 7], [2, 7], [3, 4], [6, 1]], 1/1492992],
[[[1, 7], [2, 7], [4, 1], [5, 2]], 1/153600],
[[[1, 7], [2, 7], [4, 1], [10, 2]], 1/153600],
[[[1, 7], [2, 7], [4, 2], [6, 3]], 1/331776],
[[[1, 7], [2, 7], [4, 2], [7, 1]], 67/1720320],
[[[1, 7], [2, 7], [4, 2], [14, 1]], 67/1720320],
[[[1, 7], [2, 7], [4, 3], [5, 1]], 451/7372800],
[[[1, 7], [2, 7], [4, 3], [6, 2]], 1/55296],
[[[1, 7], [2, 7], [4, 3], [8, 1]], 263/491520],
[[[1, 7], [2, 7], [4, 3], [10, 1]], 451/7372800],
[[[1, 7], [2, 7], [4, 4], [6, 1]], 37/589824],
[[[1, 7], [2, 7], [5, 1], [7, 1]], 1/430080],
[[[1, 7], [2, 7], [6, 1], [10, 2]], 1/921600],
[[[1, 7], [2, 7], [6, 2], [14, 1]], 1/1161216],
[[[1, 7], [2, 7], [6, 2], [18, 1]], 1/995328],
[[[1, 7], [2, 7], [10, 1], [14, 1]], 1/430080],
[[[1, 7], [2, 9], [3, 1], [6, 3]], 49/3317760],
[[[1, 7], [2, 9], [3, 2], [6, 2]], 101/4976640],
[[[1, 7], [2, 9], [4, 1], [6, 3]], 3529/418037760],
[[[1, 7], [2, 9], [4, 1], [14, 1]], 379/36126720],
[[[1, 7], [2, 9], [4, 2], [6, 2]], 187/4423680],
[[[1, 7], [2, 9], [4, 2], [8, 1]], 173/4423680],
[[[1, 7], [2, 9], [4, 2], [10, 1]], 301/7372800],
[[[1, 7], [2, 9], [4, 3], [6, 1]], 611/8847360],
[[[1, 7], [2, 9], [5, 1], [10, 1]], 1/138240],
[[[1, 7], [2, 9], [6, 1], [14, 1]], 1/290304],
[[[1, 7], [2, 9], [6, 1], [18, 1]], 1/1990656],
[[[1, 7], [2, 9], [6, 2], [10, 1]], 13/3317760],
[[[1, 7], [2, 11], [3, 1], [6, 2]], 247/39813120],
[[[1, 7], [2, 11], [4, 1], [6, 2]], 3403/278691840],
[[[1, 7], [2, 11], [4, 1], [8, 1]], 289/265420800],
[[[1, 7], [2, 11], [4, 1], [10, 1]], 5771/928972800],
[[[1, 7], [2, 11], [4, 2], [6, 1]], 109/5898240],
[[[1, 7], [2, 11], [6, 1], [10, 1]], 59/16588800],
[[[1, 7], [2, 13], [3, 1], [6, 1]], 2461/8360755200],
[[[1, 7], [2, 13], [4, 1], [6, 1]], 1687/796262400],
[[[1, 8], [2, 2], [3, 1], [5, 3]], 7/144000],
[[[1, 8], [2, 2], [3, 1], [7, 2]], 19/423360],
[[[1, 8], [2, 2], [3, 3], [5, 2]], 127/1555200],
[[[1, 8], [2, 2], [3, 4], [6, 3]], 1/1399680],
[[[1, 8], [2, 2], [3, 4], [7, 1]], 19/653184],
[[[1, 8], [2, 2], [3, 4], [9, 1]], 61/2799360],
[[[1, 8], [2, 2], [3, 5], [4, 2]], 1/279936],
[[[1, 8], [2, 2], [3, 5], [5, 1]], 31/1399680],
[[[1, 8], [2, 2], [3, 5], [6, 2]], 73/8398080],
[[[1, 8], [2, 2], [3, 6], [4, 1]], 25/5038848],
[[[1, 8], [2, 2], [3, 6], [6, 1]], 11/839808],
[[[1, 8], [2, 2], [4, 1], [5, 3]], 1/96000],
[[[1, 8], [2, 2], [4, 1], [7, 2]], 1/31360],
[[[1, 8], [2, 2], [5, 2], [7, 1]], 3/44800],
[[[1, 8], [2, 4], [3, 2], [4, 4]], 29/1327104],
[[[1, 8], [2, 4], [3, 2], [5, 2]], 7/138240],
[[[1, 8], [2, 4], [3, 3], [4, 3]], 11/248832],
[[[1, 8], [2, 4], [3, 3], [6, 3]], 11/622080],
[[[1, 8], [2, 4], [3, 3], [7, 1]], 163/5225472],
[[[1, 8], [2, 4], [3, 3], [9, 1]], 1/46656],
[[[1, 8], [2, 4], [3, 4], [4, 2]], 1/23328],
[[[1, 8], [2, 4], [3, 4], [5, 1]], 1/69120],
[[[1, 8], [2, 4], [3, 4], [6, 2]], 383/3732480],
[[[1, 8], [2, 4], [3, 5], [4, 1]], 1/69984],
[[[1, 8], [2, 4], [3, 5], [6, 1]], 17/419904],
[[[1, 8], [2, 4], [4, 2], [5, 2]], 11/192000],
[[[1, 8], [2, 4], [4, 2], [8, 2]], 1/81920],
[[[1, 8], [2, 4], [4, 3], [7, 1]], 11/430080],
[[[1, 8], [2, 4], [4, 4], [5, 1]], 67/7372800],
[[[1, 8], [2, 4], [4, 4], [8, 1]], 1/49152],
[[[1, 8], [2, 4], [5, 2], [10, 1]], 1/57600],
[[[1, 8], [2, 4], [7, 1], [14, 1]], 1/53760],
[[[1, 8], [2, 6], [3, 1], [4, 4]], 157/1769472],
[[[1, 8], [2, 6], [3, 1], [5, 2]], 1/102400],
[[[1, 8], [2, 6], [3, 2], [4, 3]], 61/663552],
[[[1, 8], [2, 6], [3, 2], [7, 1]], 5/580608],
[[[1, 8], [2, 6], [3, 2], [9, 1]], 13/2985984],
[[[1, 8], [2, 6], [3, 3], [4, 2]], 787/19906560],
[[[1, 8], [2, 6], [3, 3], [5, 1]], 17/4976640],
[[[1, 8], [2, 6], [3, 3], [6, 2]], 17/165888],
[[[1, 8], [2, 6], [3, 4], [4, 1]], 5/995328],
[[[1, 8], [2, 6], [3, 4], [6, 1]], 173/11197440],
[[[1, 8], [2, 6], [4, 1], [5, 2]], 13/460800],
[[[1, 8], [2, 6], [4, 2], [7, 1]], 341/5160960],
[[[1, 8], [2, 6], [4, 3], [5, 1]], 7/73728],
[[[1, 8], [2, 6], [4, 3], [8, 1]], 3/16384],
[[[1, 8], [2, 6], [5, 1], [7, 1]], 13/1290240],
[[[1, 8], [2, 8], [3, 1], [4, 3]], 853/26542080],
[[[1, 8], [2, 8], [3, 1], [6, 3]], 1/663552],
[[[1, 8], [2, 8], [3, 1], [7, 1]], 1/1548288],
[[[1, 8], [2, 8], [3, 1], [9, 1]], 443/1672151040],
[[[1, 8], [2, 8], [3, 2], [4, 2]], 1/165888],
[[[1, 8], [2, 8], [3, 2], [5, 1]], 1/3317760],
[[[1, 8], [2, 8], [3, 2], [6, 2]], 67/1658880],
[[[1, 8], [2, 8], [3, 3], [4, 1]], 1/1990656],
[[[1, 8], [2, 8], [3, 3], [6, 1]], 1/663552],
[[[1, 8], [2, 8], [4, 1], [6, 3]], 1/1990656],
[[[1, 8], [2, 8], [4, 1], [7, 1]], 169/36126720],
[[[1, 8], [2, 8], [4, 1], [14, 1]], 169/36126720],
[[[1, 8], [2, 8], [4, 2], [5, 1]], 349/20643840],
[[[1, 8], [2, 8], [4, 2], [6, 2]], 1/165888],
[[[1, 8], [2, 8], [4, 2], [8, 1]], 157/2064384],
[[[1, 8], [2, 8], [4, 2], [10, 1]], 349/20643840],
[[[1, 8], [2, 8], [4, 3], [6, 1]], 853/26542080],
[[[1, 8], [2, 8], [5, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 8], [6, 1], [14, 1]], 1/1548288],
[[[1, 8], [2, 8], [6, 1], [18, 1]], 443/1672151040],
[[[1, 8], [2, 8], [6, 2], [10, 1]], 1/3317760],
[[[1, 8], [2, 10], [3, 1], [6, 2]], 41/6635520],
[[[1, 8], [2, 10], [4, 1], [6, 2]], 589/92897280],
[[[1, 8], [2, 10], [4, 1], [8, 1]], 7/2949120],
[[[1, 8], [2, 10], [4, 1], [10, 1]], 857/154828800],
[[[1, 8], [2, 10], [4, 2], [6, 1]], 1495/74317824],
[[[1, 8], [2, 10], [6, 1], [10, 1]], 4433/2786918400],
[[[1, 8], [2, 12], [3, 1], [6, 1]], 1/1638400],
[[[1, 8], [2, 12], [4, 1], [6, 1]], 1079/371589120],
[[[1, 8], [3, 1], [5, 2], [7, 1]], 1/50400],
[[[1, 8], [3, 1], [5, 2], [9, 1]], 1/518400],
[[[1, 8], [3, 2], [7, 1], [9, 1]], 1/544320],
[[[1, 8], [3, 3], [5, 1], [7, 1]], 13/544320],
[[[1, 8], [3, 3], [5, 1], [9, 1]], 7/1166400],
[[[1, 9], [2, 1], [3, 1], [5, 3]], 1/72000],
[[[1, 9], [2, 1], [3, 1], [7, 2]], 17/1693440],
[[[1, 9], [2, 1], [3, 3], [5, 2]], 1/31104],
[[[1, 9], [2, 1], [3, 4], [7, 1]], 121/9797760],
[[[1, 9], [2, 1], [3, 4], [9, 1]], 127/29393280],
[[[1, 9], [2, 1], [3, 5], [5, 1]], 17/1399680],
[[[1, 9], [2, 1], [3, 6], [4, 1]], 61/50388480],
[[[1, 9], [2, 1], [3, 6], [6, 1]], 13/6298560],
[[[1, 9], [2, 1], [4, 1], [5, 3]], 1/1152000],
[[[1, 9], [2, 1], [4, 1], [7, 2]], 1/376320],
[[[1, 9], [2, 1], [5, 2], [7, 1]], 13/806400],
[[[1, 9], [2, 3], [3, 2], [5, 2]], 1/13824],
[[[1, 9], [2, 3], [3, 3], [4, 3]], 61/4976640],
[[[1, 9], [2, 3], [3, 3], [6, 3]], 19/9797760],
[[[1, 9], [2, 3], [3, 3], [7, 1]], 493/13063680],
[[[1, 9], [2, 3], [3, 3], [9, 1]], 13/1119744],
[[[1, 9], [2, 3], [3, 4], [4, 2]], 23/829440],
[[[1, 9], [2, 3], [3, 4], [5, 1]], 109/2799360],
[[[1, 9], [2, 3], [3, 4], [6, 2]], 59/2612736],
[[[1, 9], [2, 3], [3, 5], [4, 1]], 11/559872],
[[[1, 9], [2, 3], [3, 5], [6, 1]], 19/622080],
[[[1, 9], [2, 3], [4, 2], [5, 2]], 109/8064000],
[[[1, 9], [2, 3], [4, 2], [8, 2]], 1/860160],
[[[1, 9], [2, 3], [4, 3], [7, 1]], 1/430080],
[[[1, 9], [2, 3], [7, 1], [14, 1]], 1/564480],
[[[1, 9], [2, 5], [3, 1], [4, 4]], 187/8847360],
[[[1, 9], [2, 5], [3, 1], [5, 2]], 73/2764800],
[[[1, 9], [2, 5], [3, 2], [4, 3]], 719/9953280],
[[[1, 9], [2, 5], [3, 2], [7, 1]], 25/1161216],
[[[1, 9], [2, 5], [3, 2], [9, 1]], 1/184320],
[[[1, 9], [2, 5], [3, 3], [4, 2]], 217/2985984],
[[[1, 9], [2, 5], [3, 3], [5, 1]], 31/1492992],
[[[1, 9], [2, 5], [3, 3], [6, 2]], 73/1244160],
[[[1, 9], [2, 5], [3, 4], [4, 1]], 239/8957952],
[[[1, 9], [2, 5], [3, 4], [6, 1]], 185/4478976],
[[[1, 9], [2, 5], [4, 1], [5, 2]], 1/24000],
[[[1, 9], [2, 5], [4, 2], [7, 1]], 11/286720],
[[[1, 9], [2, 5], [4, 3], [5, 1]], 401/11059200],
[[[1, 9], [2, 5], [4, 3], [8, 1]], 19/491520],
[[[1, 9], [2, 5], [5, 1], [7, 1]], 101/6451200],
[[[1, 9], [2, 7], [3, 1], [4, 3]], 611/8847360],
[[[1, 9], [2, 7], [3, 1], [7, 1]], 1/290304],
[[[1, 9], [2, 7], [3, 1], [9, 1]], 1/1990656],
[[[1, 9], [2, 7], [3, 2], [4, 2]], 187/4423680],
[[[1, 9], [2, 7], [3, 2], [5, 1]], 13/3317760],
[[[1, 9], [2, 7], [3, 2], [6, 2]], 101/4976640],
[[[1, 9], [2, 7], [3, 3], [4, 1]], 3529/418037760],
[[[1, 9], [2, 7], [3, 3], [6, 1]], 49/3317760],
[[[1, 9], [2, 7], [4, 1], [7, 1]], 379/36126720],
[[[1, 9], [2, 7], [4, 2], [5, 1]], 301/7372800],
[[[1, 9], [2, 7], [4, 2], [8, 1]], 173/4423680],
[[[1, 9], [2, 7], [5, 1], [10, 1]], 1/138240],
[[[1, 9], [2, 9], [3, 1], [4, 2]], 269/41287680],
[[[1, 9], [2, 9], [3, 1], [5, 1]], 1/4423680],
[[[1, 9], [2, 9], [3, 1], [6, 2]], 5651/3344302080],
[[[1, 9], [2, 9], [3, 2], [4, 1]], 1/1327104],
[[[1, 9], [2, 9], [3, 2], [6, 1]], 5651/3344302080],
[[[1, 9], [2, 9], [4, 1], [5, 1]], 6527/3715891200],
[[[1, 9], [2, 9], [4, 1], [6, 2]], 1/1327104],
[[[1, 9], [2, 9], [4, 1], [8, 1]], 2459/743178240],
[[[1, 9], [2, 9], [4, 1], [10, 1]], 6527/3715891200],
[[[1, 9], [2, 9], [4, 2], [6, 1]], 269/41287680],
[[[1, 9], [2, 9], [6, 1], [10, 1]], 1/4423680],
[[[1, 9], [2, 11], [3, 1], [6, 1]], 5651/6688604160],
[[[1, 9], [2, 11], [4, 1], [6, 1]], 9887/4459069440],
[[[1, 10], [2, 2], [3, 2], [5, 2]], 163/5184000],
[[[1, 10], [2, 2], [3, 3], [6, 3]], 1/235146240],
[[[1, 10], [2, 2], [3, 3], [7, 1]], 307/18289152],
[[[1, 10], [2, 2], [3, 3], [9, 1]], 67/26127360],
[[[1, 10], [2, 2], [3, 4], [4, 2]], 7/1399680],
[[[1, 10], [2, 2], [3, 4], [5, 1]], 163/6998400],
[[[1, 10], [2, 2], [3, 4], [6, 2]], 1009/470292480],
[[[1, 10], [2, 2], [3, 5], [4, 1]], 67/8398080],
[[[1, 10], [2, 2], [3, 5], [6, 1]], 121/14696640],
[[[1, 10], [2, 2], [4, 2], [5, 2]], 71/72576000],
[[[1, 10], [2, 2], [4, 2], [8, 2]], 1/30965760],
[[[1, 10], [2, 2], [7, 1], [14, 1]], 1/20321280],
[[[1, 10], [2, 4], [3, 1], [4, 4]], 47/26542080],
[[[1, 10], [2, 4], [3, 1], [5, 2]], 131/4608000],
[[[1, 10], [2, 4], [3, 2], [4, 3]], 13/663552],
[[[1, 10], [2, 4], [3, 2], [7, 1]], 37/1741824],
[[[1, 10], [2, 4], [3, 2], [9, 1]], 277/104509440],
[[[1, 10], [2, 4], [3, 3], [4, 2]], 1361/29859840],
[[[1, 10], [2, 4], [3, 3], [5, 1]], 877/24883200],
[[[1, 10], [2, 4], [3, 3], [6, 2]], 391/26127360],
[[[1, 10], [2, 4], [3, 4], [4, 1]], 719/22394880],
[[[1, 10], [2, 4], [3, 4], [6, 1]], 527/16796160],
[[[1, 10], [2, 4], [4, 1], [5, 2]], 607/24192000],
[[[1, 10], [2, 4], [4, 2], [7, 1]], 233/18063360],
[[[1, 10], [2, 4], [4, 3], [5, 1]], 71/12902400],
[[[1, 10], [2, 4], [4, 3], [8, 1]], 19/5160960],
[[[1, 10], [2, 4], [5, 1], [7, 1]], 59/5419008],
[[[1, 10], [2, 6], [3, 1], [4, 3]], 103/2654208],
[[[1, 10], [2, 6], [3, 1], [7, 1]], 73/11612160],
[[[1, 10], [2, 6], [3, 1], [9, 1]], 29/59719680],
[[[1, 10], [2, 6], [3, 2], [4, 2]], 727/13271040],
[[[1, 10], [2, 6], [3, 2], [5, 1]], 43/3317760],
[[[1, 10], [2, 6], [3, 2], [6, 2]], 29/3317760],
[[[1, 10], [2, 6], [3, 3], [4, 1]], 25/995328],
[[[1, 10], [2, 6], [3, 3], [6, 1]], 683/29859840],
[[[1, 10], [2, 6], [4, 1], [7, 1]], 151/15482880],
[[[1, 10], [2, 6], [4, 2], [5, 1]], 1337/44236800],
[[[1, 10], [2, 6], [4, 2], [8, 1]], 593/44236800],
[[[1, 10], [2, 6], [5, 1], [10, 1]], 1/460800],
[[[1, 10], [2, 8], [3, 1], [4, 2]], 1495/74317824],
[[[1, 10], [2, 8], [3, 1], [5, 1]], 4433/2786918400],
[[[1, 10], [2, 8], [3, 2], [4, 1]], 589/92897280],
[[[1, 10], [2, 8], [3, 2], [6, 1]], 41/6635520],
[[[1, 10], [2, 8], [4, 1], [5, 1]], 857/154828800],
[[[1, 10], [2, 8], [4, 1], [8, 1]], 7/2949120],
[[[1, 10], [2, 10], [3, 1], [4, 1]], 353/637009920],
[[[1, 10], [2, 10], [3, 1], [6, 1]], 223/222953472],
[[[1, 10], [2, 10], [4, 1], [6, 1]], 353/637009920],
[[[1, 10], [3, 1], [7, 1], [9, 1]], 1/91445760],
[[[1, 10], [3, 2], [5, 1], [7, 1]], 1/259200],
[[[1, 10], [3, 2], [5, 1], [9, 1]], 11/48988800],
[[[1, 11], [2, 1], [3, 2], [5, 2]], 379/72576000],
[[[1, 11], [2, 1], [3, 3], [7, 1]], 965/329204736],
[[[1, 11], [2, 1], [3, 3], [9, 1]], 11/47029248],
[[[1, 11], [2, 1], [3, 4], [5, 1]], 977/195955200],
[[[1, 11], [2, 1], [3, 5], [4, 1]], 17/16796160],
[[[1, 11], [2, 1], [3, 5], [6, 1]], 1597/2116316160],
[[[1, 11], [2, 3], [3, 1], [5, 2]], 1219/96768000],
[[[1, 11], [2, 3], [3, 2], [4, 3]], 1/663552],
[[[1, 11], [2, 3], [3, 2], [7, 1]], 1111/121927680],
[[[1, 11], [2, 3], [3, 2], [9, 1]], 571/940584960],
[[[1, 11], [2, 3], [3, 3], [4, 2]], 181/17418240],
[[[1, 11], [2, 3], [3, 3], [5, 1]], 8039/391910400],
[[[1, 11], [2, 3], [3, 3], [6, 2]], 307/156764160],
[[[1, 11], [2, 3], [3, 4], [4, 1]], 2221/156764160],
[[[1, 11], [2, 3], [3, 4], [6, 1]], 521/52254720],
[[[1, 11], [2, 3], [4, 1], [5, 2]], 979/145152000],
[[[1, 11], [2, 3], [4, 2], [7, 1]], 2831/1625702400],
[[[1, 11], [2, 3], [4, 3], [5, 1]], 761/2322432000],
[[[1, 11], [2, 3], [4, 3], [8, 1]], 151/928972800],
[[[1, 11], [2, 3], [5, 1], [7, 1]], 1411/406425600],
[[[1, 11], [2, 5], [3, 1], [4, 3]], 3091/278691840],
[[[1, 11], [2, 5], [3, 1], [7, 1]], 211/40642560],
[[[1, 11], [2, 5], [3, 1], [9, 1]], 1/4644864],
[[[1, 11], [2, 5], [3, 2], [4, 2]], 4283/139345920],
[[[1, 11], [2, 5], [3, 2], [5, 1]], 817/49766400],
[[[1, 11], [2, 5], [3, 2], [6, 2]], 17/7464960],
[[[1, 11], [2, 5], [3, 3], [4, 1]], 4597/179159040],
[[[1, 11], [2, 5], [3, 3], [6, 1]], 3217/209018880],
[[[1, 11], [2, 5], [4, 1], [7, 1]], 551/108380160],
[[[1, 11], [2, 5], [4, 2], [5, 1]], 961/77414400],
[[[1, 11], [2, 5], [4, 2], [8, 1]], 13/5160960],
[[[1, 11], [2, 5], [5, 1], [10, 1]], 1/4838400],
[[[1, 11], [2, 7], [3, 1], [4, 2]], 109/5898240],
[[[1, 11], [2, 7], [3, 1], [5, 1]], 59/16588800],
[[[1, 11], [2, 7], [3, 2], [4, 1]], 3403/278691840],
[[[1, 11], [2, 7], [3, 2], [6, 1]], 247/39813120],
[[[1, 11], [2, 7], [4, 1], [5, 1]], 5771/928972800],
[[[1, 11], [2, 7], [4, 1], [8, 1]], 289/265420800],
[[[1, 11], [2, 9], [3, 1], [4, 1]], 9887/4459069440],
[[[1, 11], [2, 9], [3, 1], [6, 1]], 5651/6688604160],
[[[1, 12], [2, 2], [3, 1], [5, 2]], 2267/870912000],
[[[1, 12], [2, 2], [3, 2], [7, 1]], 47/26127360],
[[[1, 12], [2, 2], [3, 2], [9, 1]], 107/1567641600],
[[[1, 12], [2, 2], [3, 3], [4, 2]], 12731/18811699200],
[[[1, 12], [2, 2], [3, 3], [5, 1]], 24319/4702924800],
[[[1, 12], [2, 2], [3, 3], [6, 2]], 43/470292480],
[[[1, 12], [2, 2], [3, 4], [4, 1]], 7051/2821754880],
[[[1, 12], [2, 2], [3, 4], [6, 1]], 971/705438720],
[[[1, 12], [2, 2], [4, 1], [5, 2]], 17/20736000],
[[[1, 12], [2, 2], [4, 2], [7, 1]], 131/1625702400],
[[[1, 12], [2, 2], [5, 1], [7, 1]], 71/135475200],
[[[1, 12], [2, 4], [3, 1], [4, 3]], 3881/2786918400],
[[[1, 12], [2, 4], [3, 1], [7, 1]], 383/182891520],
[[[1, 12], [2, 4], [3, 1], [9, 1]], 89/1791590400],
[[[1, 12], [2, 4], [3, 2], [4, 2]], 3299/418037760],
[[[1, 12], [2, 4], [3, 2], [5, 1]], 209/23224320],
[[[1, 12], [2, 4], [3, 2], [6, 2]], 41/125411328],
[[[1, 12], [2, 4], [3, 3], [4, 1]], 1013/89579520],
[[[1, 12], [2, 4], [3, 3], [6, 1]], 9649/1881169920],
[[[1, 12], [2, 4], [4, 1], [7, 1]], 2111/1625702400],
[[[1, 12], [2, 4], [4, 2], [5, 1]], 449/172032000],
[[[1, 12], [2, 4], [4, 2], [8, 1]], 793/2786918400],
[[[1, 12], [2, 4], [5, 1], [10, 1]], 1/174182400],
[[[1, 12], [2, 6], [3, 1], [4, 2]], 2467/265420800],
[[[1, 12], [2, 6], [3, 1], [5, 1]], 283/77414400],
[[[1, 12], [2, 6], [3, 2], [4, 1]], 979/92897280],
[[[1, 12], [2, 6], [3, 2], [6, 1]], 7327/2090188800],
[[[1, 12], [2, 6], [4, 1], [5, 1]], 29/7372800],
[[[1, 12], [2, 6], [4, 1], [8, 1]], 13/44236800],
[[[1, 12], [2, 8], [3, 1], [4, 1]], 1079/371589120],
[[[1, 12], [2, 8], [3, 1], [6, 1]], 1/1638400],
[[[1, 12], [3, 1], [5, 1], [7, 1]], 11/76204800],
[[[1, 12], [3, 1], [5, 1], [9, 1]], 1/783820800],
[[[1, 13], [2, 1], [3, 1], [5, 2]], 31/124416000],
[[[1, 13], [2, 1], [3, 2], [7, 1]], 851/5486745600],
[[[1, 13], [2, 1], [3, 2], [9, 1]], 17/4702924800],
[[[1, 13], [2, 1], [3, 3], [5, 1]], 269/470292480],
[[[1, 13], [2, 1], [3, 4], [4, 1]], 1937/14108774400],
[[[1, 13], [2, 1], [3, 4], [6, 1]], 1343/21163161600],
[[[1, 13], [2, 1], [4, 1], [5, 2]], 1/27216000],
[[[1, 13], [2, 1], [5, 1], [7, 1]], 43/1219276800],
[[[1, 13], [2, 3], [3, 1], [4, 3]], 173/2786918400],
[[[1, 13], [2, 3], [3, 1], [7, 1]], 397/914457600],
[[[1, 13], [2, 3], [3, 1], [9, 1]], 59/9405849600],
[[[1, 13], [2, 3], [3, 2], [4, 2]], 241/278691840],
[[[1, 13], [2, 3], [3, 2], [5, 1]], 1531/627056640],
[[[1, 13], [2, 3], [3, 2], [6, 2]], 1/44789760],
[[[1, 13], [2, 3], [3, 3], [4, 1]], 43931/18811699200],
[[[1, 13], [2, 3], [3, 3], [6, 1]], 127/149299200],
[[[1, 13], [2, 3], [4, 1], [7, 1]], 799/4877107200],
[[[1, 13], [2, 3], [4, 2], [5, 1]], 1789/6967296000],
[[[1, 13], [2, 3], [4, 2], [8, 1]], 23/1393459200],
[[[1, 13], [2, 5], [3, 1], [4, 2]], 42107/16721510400],
[[[1, 13], [2, 5], [3, 1], [5, 1]], 557/298598400],
[[[1, 13], [2, 5], [3, 2], [4, 1]], 11341/2508226560],
[[[1, 13], [2, 5], [3, 2], [6, 1]], 28663/25082265600],
[[[1, 13], [2, 5], [4, 1], [5, 1]], 37259/27869184000],
[[[1, 13], [2, 5], [4, 1], [8, 1]], 71/1238630400],
[[[1, 13], [2, 7], [3, 1], [4, 1]], 1687/796262400],
[[[1, 13], [2, 7], [3, 1], [6, 1]], 2461/8360755200],
[[[1, 14], [2, 2], [3, 1], [7, 1]], 169/3657830400],
[[[1, 14], [2, 2], [3, 1], [9, 1]], 19/43893964800],
[[[1, 14], [2, 2], [3, 2], [4, 2]], 419/12541132800],
[[[1, 14], [2, 2], [3, 2], [5, 1]], 5333/15676416000],
[[[1, 14], [2, 2], [3, 2], [6, 2]], 1/1881169920],
[[[1, 14], [2, 2], [3, 3], [4, 1]], 109/503884800],
[[[1, 14], [2, 2], [3, 3], [6, 1]], 619/9405849600],
[[[1, 14], [2, 2], [4, 1], [7, 1]], 47/4877107200],
[[[1, 14], [2, 2], [4, 2], [5, 1]], 19/1990656000],
[[[1, 14], [2, 2], [4, 2], [8, 1]], 1/2786918400],
[[[1, 14], [2, 4], [3, 1], [4, 2]], 5909/16721510400],
[[[1, 14], [2, 4], [3, 1], [5, 1]], 1201/2322432000],
[[[1, 14], [2, 4], [3, 2], [4, 1]], 1823/1791590400],
[[[1, 14], [2, 4], [3, 2], [6, 1]], 3877/18811699200],
[[[1, 14], [2, 4], [4, 1], [5, 1]], 5177/20901888000],
[[[1, 14], [2, 4], [4, 1], [8, 1]], 59/8360755200],
[[[1, 14], [2, 6], [3, 1], [4, 1]], 1937/2229534720],
[[[1, 14], [2, 6], [3, 1], [6, 1]], 131/1433272320],
[[[1, 15], [2, 1], [3, 1], [7, 1]], 13/5486745600],
[[[1, 15], [2, 1], [3, 1], [9, 1]], 1/65840947200],
[[[1, 15], [2, 1], [3, 2], [5, 1]], 361/15676416000],
[[[1, 15], [2, 1], [3, 3], [4, 1]], 409/56435097600],
[[[1, 15], [2, 1], [3, 3], [6, 1]], 53/28217548800],
[[[1, 15], [2, 1], [4, 1], [7, 1]], 1/4877107200],
[[[1, 15], [2, 3], [3, 1], [4, 2]], 1/41287680],
[[[1, 15], [2, 3], [3, 1], [5, 1]], 181/2239488000],
[[[1, 15], [2, 3], [3, 2], [4, 1]], 1517/12541132800],
[[[1, 15], [2, 3], [3, 2], [6, 1]], 13/650280960],
[[[1, 15], [2, 3], [4, 1], [5, 1]], 809/32514048000],
[[[1, 15], [2, 3], [4, 1], [8, 1]], 19/39016857600],
[[[1, 15], [2, 5], [3, 1], [4, 1]], 20437/100329062400],
[[[1, 15], [2, 5], [3, 1], [6, 1]], 859/50164531200],
[[[1, 16], [2, 2], [3, 1], [4, 2]], 23/35831808000],
[[[1, 16], [2, 2], [3, 1], [5, 1]], 1541/219469824000],
[[[1, 16], [2, 2], [3, 2], [4, 1]], 269/37623398400],
[[[1, 16], [2, 2], [3, 2], [6, 1]], 127/131681894400],
[[[1, 16], [2, 2], [4, 1], [5, 1]], 61/48771072000],
[[[1, 16], [2, 2], [4, 1], [8, 1]], 1/58525286400],
[[[1, 16], [2, 4], [3, 1], [4, 1]], 9731/351151718400],
[[[1, 16], [2, 4], [3, 1], [6, 1]], 997/526727577600],
[[[1, 17], [2, 1], [3, 1], [5, 1]], 137/438939648000],
[[[1, 17], [2, 1], [3, 2], [4, 1]], 31/188116992000],
[[[1, 17], [2, 1], [3, 2], [6, 1]], 169/9481096396800],
[[[1, 17], [2, 1], [4, 1], [5, 1]], 253/10534551552000],
[[[1, 17], [2, 1], [4, 1], [8, 1]], 1/4213820620800],
[[[1, 17], [2, 3], [3, 1], [4, 1]], 3767/1755758592000],
[[[1, 17], [2, 3], [3, 1], [6, 1]], 1/8360755200],
[[[1, 18], [2, 2], [3, 1], [4, 1]], 5489/63207309312000],
[[[1, 18], [2, 2], [3, 1], [6, 1]], 1/252829237248],
[[[1, 19], [2, 1], [3, 1], [4, 1]], 89/63207309312000],
[[[1, 19], [2, 1], [3, 1], [6, 1]], 1/18962192793600],
[[[2, 2], [6, 2], [14, 1], [18, 2]], 1/4536],
[[[2, 2], [6, 2], [14, 1], [42, 1]], 1/84],
[[[2, 2], [6, 3], [10, 1], [18, 2]], 1/4860],
[[[2, 4], [6, 1], [14, 2], [18, 1]], 1/7056],
[[[2, 4], [6, 2], [10, 1], [18, 2]], 1/38880],
[[[2, 4], [6, 3], [10, 2], [18, 1]], 1/8100],
[[[2, 4], [6, 4], [10, 1], [30, 1]], 1/720],
[[[2, 4], [6, 4], [14, 1], [18, 1]], 1/40824],
[[[2, 4], [6, 5], [10, 1], [18, 1]], 1/43740],
[[[2, 6], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[2, 6], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[2, 6], [6, 2], [10, 2], [18, 1]], 1/32400],
[[[2, 6], [6, 3], [14, 1], [18, 1]], 1/27216],
[[[2, 6], [6, 4], [10, 1], [14, 1]], 1/68040],
[[[2, 6], [6, 4], [10, 1], [18, 1]], 13/349920],
[[[2, 8], [6, 1], [10, 2], [14, 1]], 1/50400],
[[[2, 8], [6, 1], [10, 2], [18, 1]], 1/518400],
[[[2, 8], [6, 2], [14, 1], [18, 1]], 1/544320],
[[[2, 8], [6, 3], [10, 1], [14, 1]], 13/544320],
[[[2, 8], [6, 3], [10, 1], [18, 1]], 7/1166400],
[[[2, 10], [6, 1], [14, 1], [18, 1]], 1/91445760],
[[[2, 10], [6, 2], [10, 1], [14, 1]], 1/259200],
[[[2, 10], [6, 2], [10, 1], [18, 1]], 11/48988800],
[[[2, 12], [6, 1], [10, 1], [14, 1]], 11/76204800],
[[[2, 12], [6, 1], [10, 1], [18, 1]], 1/783820800],
[[[3, 1], [6, 2], [9, 1], [18, 2]], 1/324],
[[[3, 2], [6, 1], [9, 2], [18, 1]], 1/324],
[[[1, 1], [2, 1], [3, 1], [6, 4], [18, 2]], 1/5832],
[[[1, 1], [2, 1], [3, 2], [7, 1], [9, 2]], 1/4536],
[[[1, 1], [2, 1], [3, 4], [6, 1], [9, 2]], 1/5832],
[[[1, 1], [2, 1], [6, 2], [14, 1], [18, 2]], 1/4536],
[[[1, 1], [2, 3], [3, 1], [6, 3], [18, 2]], 55/11664],
[[[1, 1], [2, 3], [3, 1], [6, 6], [18, 1]], 1/52488],
[[[1, 1], [2, 3], [4, 1], [6, 3], [18, 2]], 1/7776],
[[[1, 1], [2, 3], [4, 1], [7, 1], [14, 2]], 1/784],
[[[1, 1], [2, 3], [6, 1], [14, 2], [18, 1]], 1/3528],
[[[1, 1], [2, 3], [6, 2], [10, 1], [18, 2]], 1/6480],
[[[1, 1], [2, 3], [6, 4], [14, 1], [18, 1]], 1/40824],
[[[1, 1], [2, 5], [3, 1], [6, 2], [14, 2]], 1/14112],
[[[1, 1], [2, 5], [3, 1], [6, 4], [10, 2]], 1/16200],
[[[1, 1], [2, 5], [3, 1], [6, 5], [14, 1]], 1/81648],
[[[1, 1], [2, 5], [3, 1], [6, 5], [18, 1]], 251/209952],
[[[1, 1], [2, 5], [3, 1], [6, 6], [10, 1]], 1/87480],
[[[1, 1], [2, 5], [4, 1], [6, 2], [10, 3]], 1/18000],
[[[1, 1], [2, 5], [4, 1], [6, 2], [18, 2]], 1/155520],
[[[1, 1], [2, 5], [4, 1], [6, 4], [10, 2]], 1/97200],
[[[1, 1], [2, 5], [4, 1], [6, 5], [18, 1]], 1/69984],
[[[1, 1], [2, 5], [4, 1], [6, 6], [8, 1]], 1/839808],
[[[1, 1], [2, 5], [4, 1], [6, 6], [10, 1]], 1/2099520],
[[[1, 1], [2, 5], [4, 1], [8, 1], [14, 2]], 1/6272],
[[[1, 1], [2, 5], [4, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 1], [2, 5], [6, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 1], [2, 5], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[1, 1], [2, 5], [6, 2], [10, 2], [18, 1]], 1/5400],
[[[1, 1], [2, 5], [6, 3], [14, 1], [18, 1]], 1/6804],
[[[1, 1], [2, 5], [6, 4], [10, 1], [14, 1]], 1/68040],
[[[1, 1], [2, 5], [6, 4], [10, 1], [18, 1]], 7/58320],
[[[1, 1], [2, 7], [3, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 1], [2, 7], [3, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 1], [2, 7], [3, 1], [6, 4], [14, 1]], 1/40824],
[[[1, 1], [2, 7], [3, 1], [6, 4], [18, 1]], 11/699840],
[[[1, 1], [2, 7], [3, 1], [6, 5], [10, 1]], 17/699840],
[[[1, 1], [2, 7], [4, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 7], [4, 1], [6, 1], [14, 2]], 1/18816],
[[[1, 1], [2, 7], [4, 1], [6, 3], [10, 2]], 49/777600],
[[[1, 1], [2, 7], [4, 1], [6, 4], [14, 1]], 1/108864],
[[[1, 1], [2, 7], [4, 1], [6, 4], [18, 1]], 31/1399680],
[[[1, 1], [2, 7], [4, 1], [6, 5], [8, 1]], 1/279936],
[[[1, 1], [2, 7], [4, 1], [6, 5], [10, 1]], 7/699840],
[[[1, 1], [2, 7], [4, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 1], [2, 7], [6, 1], [10, 2], [14, 1]], 1/7200],
[[[1, 1], [2, 7], [6, 1], [10, 2], [18, 1]], 1/43200],
[[[1, 1], [2, 7], [6, 2], [14, 1], [18, 1]], 1/34020],
[[[1, 1], [2, 7], [6, 3], [10, 1], [14, 1]], 11/108864],
[[[1, 1], [2, 7], [6, 3], [10, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 9], [3, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 1], [2, 9], [3, 1], [6, 3], [14, 1]], 11/1088640],
[[[1, 1], [2, 9], [3, 1], [6, 3], [18, 1]], 17/23514624],
[[[1, 1], [2, 9], [3, 1], [6, 4], [10, 1]], 43/3499200],
[[[1, 1], [2, 9], [4, 1], [6, 2], [10, 2]], 43/2592000],
[[[1, 1], [2, 9], [4, 1], [6, 3], [14, 1]], 31/2177280],
[[[1, 1], [2, 9], [4, 1], [6, 3], [18, 1]], 1/466560],
[[[1, 1], [2, 9], [4, 1], [6, 4], [8, 1]], 1/349920],
[[[1, 1], [2, 9], [4, 1], [6, 4], [10, 1]], 217/13996800],
[[[1, 1], [2, 9], [4, 1], [7, 1], [14, 1]], 1/20321280],
[[[1, 1], [2, 9], [4, 1], [8, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 9], [4, 1], [8, 1], [16, 1]], 1/11612160],
[[[1, 1], [2, 9], [6, 1], [14, 1], [18, 1]], 37/91445760],
[[[1, 1], [2, 9], [6, 2], [10, 1], [14, 1]], 41/907200],
[[[1, 1], [2, 9], [6, 2], [10, 1], [18, 1]], 53/10886400],
[[[1, 1], [2, 11], [3, 1], [6, 1], [10, 2]], 1/2073600],
[[[1, 1], [2, 11], [3, 1], [6, 2], [14, 1]], 17/36578304],
[[[1, 1], [2, 11], [3, 1], [6, 2], [18, 1]], 1/235146240],
[[[1, 1], [2, 11], [3, 1], [6, 3], [10, 1]], 79/48988800],
[[[1, 1], [2, 11], [4, 1], [6, 1], [10, 2]], 611/435456000],
[[[1, 1], [2, 11], [4, 1], [6, 2], [14, 1]], 1/725760],
[[[1, 1], [2, 11], [4, 1], [6, 2], [18, 1]], 47/783820800],
[[[1, 1], [2, 11], [4, 1], [6, 3], [8, 1]], 253/940584960],
[[[1, 1], [2, 11], [4, 1], [6, 3], [10, 1]], 7183/2351462400],
[[[1, 1], [2, 11], [4, 1], [8, 1], [14, 1]], 1/81285120],
[[[1, 1], [2, 11], [4, 1], [10, 1], [14, 1]], 127/203212800],
[[[1, 1], [2, 11], [6, 1], [10, 1], [14, 1]], 499/152409600],
[[[1, 1], [2, 11], [6, 1], [10, 1], [18, 1]], 1/18662400],
[[[1, 1], [2, 13], [3, 1], [6, 1], [14, 1]], 1/365783040],
[[[1, 1], [2, 13], [3, 1], [6, 2], [10, 1]], 89/1567641600],
[[[1, 1], [2, 13], [4, 1], [6, 1], [14, 1]], 47/1219276800],
[[[1, 1], [2, 13], [4, 1], [6, 1], [18, 1]], 1/3135283200],
[[[1, 1], [2, 13], [4, 1], [6, 2], [8, 1]], 13/1567641600],
[[[1, 1], [2, 13], [4, 1], [6, 2], [10, 1]], 7/34992000],
[[[1, 1], [2, 13], [4, 1], [8, 1], [10, 1]], 1/696729600],
[[[1, 1], [2, 15], [3, 1], [6, 1], [10, 1]], 1/3135283200],
[[[1, 1], [2, 15], [4, 1], [6, 1], [8, 1]], 1/12541132800],
[[[1, 1], [2, 15], [4, 1], [6, 1], [10, 1]], 37/7838208000],
[[[1, 2], [2, 2], [3, 1], [6, 3], [18, 2]], 1/3888],
[[[1, 2], [2, 2], [3, 1], [7, 2], [9, 1]], 1/7056],
[[[1, 2], [2, 2], [3, 2], [4, 2], [9, 2]], 1/10368],
[[[1, 2], [2, 2], [3, 2], [5, 1], [9, 2]], 1/12960],
[[[1, 2], [2, 2], [3, 2], [6, 5], [18, 1]], 1/11664],
[[[1, 2], [2, 2], [3, 3], [4, 1], [9, 2]], 1/7776],
[[[1, 2], [2, 2], [3, 3], [6, 1], [9, 2]], 1/3888],
[[[1, 2], [2, 2], [3, 3], [6, 4], [18, 1]], 1/5832],
[[[1, 2], [2, 2], [3, 4], [6, 3], [9, 1]], 1/5832],
[[[1, 2], [2, 2], [3, 5], [6, 2], [9, 1]], 1/11664],
[[[1, 2], [2, 2], [4, 1], [6, 3], [18, 2]], 1/7776],
[[[1, 2], [2, 2], [4, 1], [7, 1], [14, 2]], 1/784],
[[[1, 2], [2, 2], [4, 1], [7, 2], [14, 1]], 1/784],
[[[1, 2], [2, 2], [4, 2], [6, 2], [18, 2]], 1/10368],
[[[1, 2], [2, 2], [4, 2], [8, 2], [16, 1]], 1/128],
[[[1, 2], [2, 2], [6, 1], [14, 2], [18, 1]], 1/7056],
[[[1, 2], [2, 2], [6, 2], [10, 1], [18, 2]], 1/12960],
[[[1, 2], [2, 4], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 2], [2, 4], [3, 1], [6, 5], [14, 1]], 1/81648],
[[[1, 2], [2, 4], [3, 1], [6, 5], [18, 1]], 1/8748],
[[[1, 2], [2, 4], [3, 2], [6, 4], [14, 1]], 1/18144],
[[[1, 2], [2, 4], [3, 2], [6, 4], [18, 1]], 83/23328],
[[[1, 2], [2, 4], [3, 2], [6, 5], [10, 1]], 1/19440],
[[[1, 2], [2, 4], [3, 3], [6, 3], [14, 1]], 1/9072],
[[[1, 2], [2, 4], [3, 3], [6, 4], [10, 1]], 1/9720],
[[[1, 2], [2, 4], [4, 1], [6, 2], [18, 2]], 1/15552],
[[[1, 2], [2, 4], [4, 1], [6, 5], [18, 1]], 1/69984],
[[[1, 2], [2, 4], [4, 1], [8, 1], [14, 2]], 1/3136],
[[[1, 2], [2, 4], [4, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 2], [2, 4], [4, 2], [6, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 4], [4, 2], [6, 3], [8, 2]], 1/13824],
[[[1, 2], [2, 4], [4, 2], [6, 3], [10, 2]], 1/259200],
[[[1, 2], [2, 4], [4, 2], [6, 4], [18, 1]], 1/93312],
[[[1, 2], [2, 4], [4, 2], [8, 2], [14, 1]], 3/3584],
[[[1, 2], [2, 4], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 2], [2, 4], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 4], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[1, 2], [2, 4], [6, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 2], [2, 4], [6, 3], [14, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 4], [6, 4], [10, 1], [18, 1]], 1/116640],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 6]], 1/139968],
[[[1, 2], [2, 6], [3, 1], [6, 1], [14, 2]], 5/28224],
[[[1, 2], [2, 6], [3, 1], [6, 3], [10, 2]], 1/5400],
[[[1, 2], [2, 6], [3, 1], [6, 4], [14, 1]], 1/10206],
[[[1, 2], [2, 6], [3, 1], [6, 4], [18, 1]], 5/46656],
[[[1, 2], [2, 6], [3, 1], [6, 5], [10, 1]], 1/12960],
[[[1, 2], [2, 6], [3, 2], [6, 3], [14, 1]], 1/18144],
[[[1, 2], [2, 6], [3, 2], [6, 3], [18, 1]], 1/46656],
[[[1, 2], [2, 6], [3, 2], [6, 4], [10, 1]], 1/17280],
[[[1, 2], [2, 6], [3, 3], [6, 3], [10, 1]], 1/77760],
[[[1, 2], [2, 6], [4, 1], [6, 1], [10, 3]], 1/12000],
[[[1, 2], [2, 6], [4, 1], [6, 1], [14, 2]], 1/6272],
[[[1, 2], [2, 6], [4, 1], [6, 3], [10, 2]], 13/129600],
[[[1, 2], [2, 6], [4, 1], [6, 4], [14, 1]], 1/54432],
[[[1, 2], [2, 6], [4, 1], [6, 4], [18, 1]], 13/139968],
[[[1, 2], [2, 6], [4, 1], [6, 5], [8, 1]], 1/93312],
[[[1, 2], [2, 6], [4, 1], [6, 5], [10, 1]], 1/77760],
[[[1, 2], [2, 6], [4, 1], [10, 2], [14, 1]], 1/9600],
[[[1, 2], [2, 6], [4, 2], [5, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 6], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 2], [2, 6], [4, 2], [6, 2], [10, 2]], 19/172800],
[[[1, 2], [2, 6], [4, 2], [6, 3], [14, 1]], 1/145152],
[[[1, 2], [2, 6], [4, 2], [6, 3], [18, 1]], 1/15552],
[[[1, 2], [2, 6], [4, 2], [6, 4], [8, 1]], 1/62208],
[[[1, 2], [2, 6], [4, 2], [6, 4], [10, 1]], 1/77760],
[[[1, 2], [2, 6], [4, 2], [7, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 6], [4, 2], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 6], [4, 2], [8, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 6], [4, 2], [8, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 6], [6, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 2], [2, 6], [6, 1], [10, 2], [18, 1]], 7/86400],
[[[1, 2], [2, 6], [6, 2], [7, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 6], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 6], [6, 3], [10, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 6], [6, 3], [10, 1], [18, 1]], 13/77760],
[[[1, 2], [2, 6], [7, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 5]], 41/2799360],
[[[1, 2], [2, 8], [3, 1], [6, 2], [10, 2]], 7/86400],
[[[1, 2], [2, 8], [3, 1], [6, 3], [14, 1]], 43/544320],
[[[1, 2], [2, 8], [3, 1], [6, 3], [18, 1]], 43/3265920],
[[[1, 2], [2, 8], [3, 1], [6, 4], [10, 1]], 7/77760],
[[[1, 2], [2, 8], [3, 2], [6, 2], [14, 1]], 1/72576],
[[[1, 2], [2, 8], [3, 2], [6, 3], [10, 1]], 1/51840],
[[[1, 2], [2, 8], [4, 1], [6, 2], [10, 2]], 23/172800],
[[[1, 2], [2, 8], [4, 1], [6, 3], [14, 1]], 23/311040],
[[[1, 2], [2, 8], [4, 1], [6, 3], [18, 1]], 29/933120],
[[[1, 2], [2, 8], [4, 1], [6, 4], [8, 1]], 7/373248],
[[[1, 2], [2, 8], [4, 1], [6, 4], [10, 1]], 11/155520],
[[[1, 2], [2, 8], [4, 1], [7, 1], [14, 1]], 1/564480],
[[[1, 2], [2, 8], [4, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 8], [4, 1], [8, 1], [16, 1]], 1/322560],
[[[1, 2], [2, 8], [4, 2], [6, 1], [8, 2]], 1/184320],
[[[1, 2], [2, 8], [4, 2], [6, 1], [10, 2]], 73/3456000],
[[[1, 2], [2, 8], [4, 2], [6, 2], [14, 1]], 1/24192],
[[[1, 2], [2, 8], [4, 2], [6, 2], [18, 1]], 7/1244160],
[[[1, 2], [2, 8], [4, 2], [6, 3], [8, 1]], 31/1244160],
[[[1, 2], [2, 8], [4, 2], [6, 3], [10, 1]], 307/6220800],
[[[1, 2], [2, 8], [4, 2], [8, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 8], [4, 2], [10, 1], [14, 1]], 1/76800],
[[[1, 2], [2, 8], [6, 1], [7, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 8], [6, 1], [14, 1], [18, 1]], 23/5080320],
[[[1, 2], [2, 8], [6, 2], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 8], [6, 2], [10, 1], [18, 1]], 13/388800],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 4]], 37/5598720],
[[[1, 2], [2, 10], [3, 1], [6, 1], [10, 2]], 1/138240],
[[[1, 2], [2, 10], [3, 1], [6, 2], [14, 1]], 1633/182891520],
[[[1, 2], [2, 10], [3, 1], [6, 2], [18, 1]], 13/78382080],
[[[1, 2], [2, 10], [3, 1], [6, 3], [10, 1]], 167/7257600],
[[[1, 2], [2, 10], [3, 2], [6, 2], [10, 1]], 1/622080],
[[[1, 2], [2, 10], [4, 1], [6, 1], [10, 2]], 1009/48384000],
[[[1, 2], [2, 10], [4, 1], [6, 2], [14, 1]], 31/1451520],
[[[1, 2], [2, 10], [4, 1], [6, 2], [18, 1]], 247/156764160],
[[[1, 2], [2, 10], [4, 1], [6, 3], [8, 1]], 127/26127360],
[[[1, 2], [2, 10], [4, 1], [6, 3], [10, 1]], 817/21772800],
[[[1, 2], [2, 10], [4, 1], [8, 1], [14, 1]], 37/81285120],
[[[1, 2], [2, 10], [4, 1], [10, 1], [14, 1]], 2179/203212800],
[[[1, 2], [2, 10], [4, 2], [5, 1], [10, 1]], 1/58060800],
[[[1, 2], [2, 10], [4, 2], [6, 1], [14, 1]], 1/276480],
[[[1, 2], [2, 10], [4, 2], [6, 1], [18, 1]], 131/1045094400],
[[[1, 2], [2, 10], [4, 2], [6, 2], [8, 1]], 1/414720],
[[[1, 2], [2, 10], [4, 2], [6, 2], [10, 1]], 19/2073600],
[[[1, 2], [2, 10], [4, 2], [8, 1], [10, 1]], 127/116121600],
[[[1, 2], [2, 10], [6, 1], [10, 1], [14, 1]], 139/5644800],
[[[1, 2], [2, 10], [6, 1], [10, 1], [18, 1]], 199/261273600],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 3]], 887/1567641600],
[[[1, 2], [2, 12], [3, 1], [6, 1], [14, 1]], 1/9144576],
[[[1, 2], [2, 12], [3, 1], [6, 2], [10, 1]], 41/29030400],
[[[1, 2], [2, 12], [4, 1], [6, 1], [14, 1]], 641/609638400],
[[[1, 2], [2, 12], [4, 1], [6, 1], [18, 1]], 23/1567641600],
[[[1, 2], [2, 12], [4, 1], [6, 2], [8, 1]], 11/41803776],
[[[1, 2], [2, 12], [4, 1], [6, 2], [10, 1]], 757/174182400],
[[[1, 2], [2, 12], [4, 1], [8, 1], [10, 1]], 1/16588800],
[[[1, 2], [2, 12], [4, 2], [6, 1], [8, 1]], 47/696729600],
[[[1, 2], [2, 12], [4, 2], [6, 1], [10, 1]], 913/1741824000],
[[[1, 2], [2, 14], [3, 1], [4, 1], [6, 2]], 19/1254113280],
[[[1, 2], [2, 14], [3, 1], [6, 1], [10, 1]], 1/69672960],
[[[1, 2], [2, 14], [4, 1], [6, 1], [8, 1]], 17/4180377600],
[[[1, 2], [2, 14], [4, 1], [6, 1], [10, 1]], 271/1741824000],
[[[1, 2], [2, 16], [3, 1], [4, 1], [6, 1]], 1/12541132800],
[[[1, 2], [3, 2], [5, 1], [9, 1], [15, 1]], 1/90],
[[[1, 2], [3, 4], [6, 1], [9, 1], [18, 1]], 1/5832],
[[[1, 3], [2, 1], [3, 1], [7, 2], [9, 1]], 1/3528],
[[[1, 3], [2, 1], [3, 2], [5, 1], [9, 2]], 1/6480],
[[[1, 3], [2, 1], [3, 3], [4, 1], [9, 2]], 1/7776],
[[[1, 3], [2, 1], [3, 3], [6, 1], [9, 2]], 55/11664],
[[[1, 3], [2, 1], [3, 4], [7, 1], [9, 1]], 1/40824],
[[[1, 3], [2, 1], [3, 6], [6, 1], [9, 1]], 1/52488],
[[[1, 3], [2, 1], [4, 1], [7, 2], [14, 1]], 1/784],
[[[1, 3], [2, 3], [3, 1], [6, 2], [14, 2]], 1/14112],
[[[1, 3], [2, 3], [3, 2], [4, 1], [9, 2]], 1/10368],
[[[1, 3], [2, 3], [3, 2], [6, 1], [7, 2]], 1/14112],
[[[1, 3], [2, 3], [3, 2], [6, 4], [14, 1]], 1/18144],
[[[1, 3], [2, 3], [3, 2], [6, 4], [18, 1]], 1/3888],
[[[1, 3], [2, 3], [3, 3], [6, 3], [7, 1]], 1/9072],
[[[1, 3], [2, 3], [3, 3], [6, 3], [9, 1]], 1/864],
[[[1, 3], [2, 3], [3, 3], [6, 3], [14, 1]], 1/9072],
[[[1, 3], [2, 3], [3, 3], [6, 3], [18, 1]], 1/864],
[[[1, 3], [2, 3], [3, 4], [6, 2], [7, 1]], 1/18144],
[[[1, 3], [2, 3], [3, 4], [6, 2], [9, 1]], 1/3888],
[[[1, 3], [2, 3], [4, 1], [5, 1], [7, 2]], 1/15680],
[[[1, 3], [2, 3], [4, 1], [6, 2], [18, 2]], 1/10368],
[[[1, 3], [2, 3], [4, 1], [7, 2], [8, 1]], 1/6272],
[[[1, 3], [2, 3], [4, 1], [8, 1], [14, 2]], 1/6272],
[[[1, 3], [2, 3], [4, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 3], [2, 3], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 3], [2, 3], [4, 2], [7, 1], [8, 2]], 3/3584],
[[[1, 3], [2, 3], [4, 2], [8, 2], [14, 1]], 3/3584],
[[[1, 3], [2, 3], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 3], [2, 3], [4, 3], [5, 1], [8, 2]], 3/5120],
[[[1, 3], [2, 3], [4, 3], [5, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 3], [4, 3], [5, 2], [8, 1]], 1/12800],
[[[1, 3], [2, 3], [4, 3], [5, 2], [10, 1]], 1/3200],
[[[1, 3], [2, 3], [4, 3], [7, 1], [14, 1]], 1/896],
[[[1, 3], [2, 3], [4, 3], [8, 1], [10, 2]], 1/12800],
[[[1, 3], [2, 3], [4, 3], [8, 1], [16, 1]], 1/512],
[[[1, 3], [2, 3], [4, 3], [8, 2], [10, 1]], 3/5120],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 6]], 1/139968],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 5]], 1/186624],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 4]], 1/93312],
[[[1, 3], [2, 5], [3, 1], [6, 1], [14, 2]], 1/4032],
[[[1, 3], [2, 5], [3, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 3], [2, 5], [3, 1], [6, 4], [14, 1]], 1/13608],
[[[1, 3], [2, 5], [3, 1], [6, 4], [18, 1]], 1/5184],
[[[1, 3], [2, 5], [3, 1], [6, 5], [10, 1]], 1/233280],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 5]], 7/93312],
[[[1, 3], [2, 5], [3, 2], [6, 3], [14, 1]], 1/4536],
[[[1, 3], [2, 5], [3, 2], [6, 3], [18, 1]], 1/7776],
[[[1, 3], [2, 5], [3, 2], [6, 4], [10, 1]], 1/5184],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 4]], 1/15552],
[[[1, 3], [2, 5], [3, 3], [6, 3], [10, 1]], 1/12960],
[[[1, 3], [2, 5], [4, 1], [6, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 5], [4, 1], [6, 1], [14, 2]], 1/6272],
[[[1, 3], [2, 5], [4, 1], [6, 3], [10, 2]], 1/259200],
[[[1, 3], [2, 5], [4, 1], [6, 4], [14, 1]], 1/108864],
[[[1, 3], [2, 5], [4, 1], [6, 4], [18, 1]], 7/93312],
[[[1, 3], [2, 5], [4, 1], [10, 2], [14, 1]], 3/22400],
[[[1, 3], [2, 5], [4, 2], [5, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 5], [4, 2], [6, 2], [8, 2]], 1/3072],
[[[1, 3], [2, 5], [4, 2], [6, 2], [10, 2]], 1/11520],
[[[1, 3], [2, 5], [4, 2], [6, 3], [14, 1]], 1/145152],
[[[1, 3], [2, 5], [4, 2], [6, 3], [18, 1]], 1/6912],
[[[1, 3], [2, 5], [4, 2], [6, 4], [8, 1]], 1/62208],
[[[1, 3], [2, 5], [4, 2], [6, 4], [10, 1]], 1/155520],
[[[1, 3], [2, 5], [4, 2], [7, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 5], [4, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 5], [4, 2], [8, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 5], [4, 2], [8, 2], [10, 1]], 3/5120],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 2]], 1/2048],
[[[1, 3], [2, 5], [4, 3], [6, 1], [10, 2]], 1/12800],
[[[1, 3], [2, 5], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 5], [4, 3], [6, 3], [8, 1]], 5/82944],
[[[1, 3], [2, 5], [4, 3], [6, 3], [10, 1]], 1/207360],
[[[1, 3], [2, 5], [4, 3], [8, 1], [14, 1]], 5/7168],
[[[1, 3], [2, 5], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 5], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 3], [2, 5], [6, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 3], [2, 5], [6, 2], [7, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 5], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 3], [2, 5], [6, 3], [10, 1], [14, 1]], 1/181440],
[[[1, 3], [2, 5], [6, 3], [10, 1], [18, 1]], 1/15552],
[[[1, 3], [2, 5], [7, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 5]], 17/279936],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 4]], 13/373248],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 3]], 1/62208],
[[[1, 3], [2, 7], [3, 1], [6, 2], [10, 2]], 7/34560],
[[[1, 3], [2, 7], [3, 1], [6, 3], [14, 1]], 1/5184],
[[[1, 3], [2, 7], [3, 1], [6, 3], [18, 1]], 7/103680],
[[[1, 3], [2, 7], [3, 1], [6, 4], [10, 1]], 41/233280],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 4]], 61/622080],
[[[1, 3], [2, 7], [3, 2], [6, 2], [14, 1]], 1/10368],
[[[1, 3], [2, 7], [3, 2], [6, 3], [10, 1]], 7/51840],
[[[1, 3], [2, 7], [3, 3], [4, 1], [6, 3]], 1/311040],
[[[1, 3], [2, 7], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 7], [4, 1], [6, 2], [10, 2]], 37/172800],
[[[1, 3], [2, 7], [4, 1], [6, 3], [14, 1]], 47/435456],
[[[1, 3], [2, 7], [4, 1], [6, 3], [18, 1]], 7/62208],
[[[1, 3], [2, 7], [4, 1], [6, 4], [8, 1]], 1/31104],
[[[1, 3], [2, 7], [4, 1], [6, 4], [10, 1]], 7/103680],
[[[1, 3], [2, 7], [4, 1], [7, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 7], [4, 1], [8, 1], [10, 2]], 7/76800],
[[[1, 3], [2, 7], [4, 1], [8, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 7], [4, 2], [6, 1], [8, 2]], 1/12288],
[[[1, 3], [2, 7], [4, 2], [6, 1], [10, 2]], 7/46080],
[[[1, 3], [2, 7], [4, 2], [6, 2], [14, 1]], 13/96768],
[[[1, 3], [2, 7], [4, 2], [6, 2], [18, 1]], 1/15360],
[[[1, 3], [2, 7], [4, 2], [6, 3], [8, 1]], 13/124416],
[[[1, 3], [2, 7], [4, 2], [6, 3], [10, 1]], 83/622080],
[[[1, 3], [2, 7], [4, 2], [8, 1], [14, 1]], 11/107520],
[[[1, 3], [2, 7], [4, 2], [10, 1], [14, 1]], 19/179200],
[[[1, 3], [2, 7], [4, 3], [5, 1], [10, 1]], 1/76800],
[[[1, 3], [2, 7], [4, 3], [6, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 7], [4, 3], [6, 1], [18, 1]], 1/276480],
[[[1, 3], [2, 7], [4, 3], [6, 2], [8, 1]], 1/6912],
[[[1, 3], [2, 7], [4, 3], [6, 2], [10, 1]], 1/13824],
[[[1, 3], [2, 7], [4, 3], [8, 1], [10, 1]], 9/102400],
[[[1, 3], [2, 7], [6, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 7], [6, 1], [14, 1], [18, 1]], 13/725760],
[[[1, 3], [2, 7], [6, 2], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 7], [6, 2], [10, 1], [18, 1]], 13/155520],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 4]], 31/559872],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 3]], 47/2488320],
[[[1, 3], [2, 9], [3, 1], [4, 3], [6, 2]], 1/1244160],
[[[1, 3], [2, 9], [3, 1], [6, 1], [10, 2]], 13/345600],
[[[1, 3], [2, 9], [3, 1], [6, 2], [14, 1]], 527/10160640],
[[[1, 3], [2, 9], [3, 1], [6, 2], [18, 1]], 1/483840],
[[[1, 3], [2, 9], [3, 1], [6, 3], [10, 1]], 83/777600],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 3]], 1/77760],
[[[1, 3], [2, 9], [3, 2], [6, 2], [10, 1]], 1/51840],
[[[1, 3], [2, 9], [4, 1], [6, 1], [10, 2]], 343/3456000],
[[[1, 3], [2, 9], [4, 1], [6, 2], [14, 1]], 67/725760],
[[[1, 3], [2, 9], [4, 1], [6, 2], [18, 1]], 121/8709120],
[[[1, 3], [2, 9], [4, 1], [6, 3], [8, 1]], 61/2488320],
[[[1, 3], [2, 9], [4, 1], [6, 3], [10, 1]], 269/2073600],
[[[1, 3], [2, 9], [4, 1], [8, 1], [14, 1]], 23/4515840],
[[[1, 3], [2, 9], [4, 1], [10, 1], [14, 1]], 227/3763200],
[[[1, 3], [2, 9], [4, 2], [5, 1], [10, 1]], 1/1612800],
[[[1, 3], [2, 9], [4, 2], [6, 1], [14, 1]], 11/241920],
[[[1, 3], [2, 9], [4, 2], [6, 1], [18, 1]], 1/387072],
[[[1, 3], [2, 9], [4, 2], [6, 2], [8, 1]], 29/829440],
[[[1, 3], [2, 9], [4, 2], [6, 2], [10, 1]], 77/829440],
[[[1, 3], [2, 9], [4, 2], [8, 1], [10, 1]], 19/1075200],
[[[1, 3], [2, 9], [4, 3], [6, 1], [8, 1]], 11/1105920],
[[[1, 3], [2, 9], [4, 3], [6, 1], [10, 1]], 7/691200],
[[[1, 3], [2, 9], [6, 1], [10, 1], [14, 1]], 13/172800],
[[[1, 3], [2, 9], [6, 1], [10, 1], [18, 1]], 101/21772800],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 3]], 3187/313528320],
[[[1, 3], [2, 11], [3, 1], [4, 2], [6, 2]], 3071/2090188800],
[[[1, 3], [2, 11], [3, 1], [4, 3], [6, 1]], 1/209018880],
[[[1, 3], [2, 11], [3, 1], [6, 1], [14, 1]], 5/3483648],
[[[1, 3], [2, 11], [3, 1], [6, 2], [10, 1]], 37/2985984],
[[[1, 3], [2, 11], [3, 2], [4, 1], [6, 2]], 11/26127360],
[[[1, 3], [2, 11], [4, 1], [5, 1], [10, 1]], 1/29030400],
[[[1, 3], [2, 11], [4, 1], [6, 1], [14, 1]], 485/48771072],
[[[1, 3], [2, 11], [4, 1], [6, 1], [18, 1]], 251/1045094400],
[[[1, 3], [2, 11], [4, 1], [6, 2], [8, 1]], 67/23224320],
[[[1, 3], [2, 11], [4, 1], [6, 2], [10, 1]], 209/6451200],
[[[1, 3], [2, 11], [4, 1], [8, 1], [10, 1]], 199/232243200],
[[[1, 3], [2, 11], [4, 2], [6, 1], [8, 1]], 247/139345920],
[[[1, 3], [2, 11], [4, 2], [6, 1], [10, 1]], 337/34836480],
[[[1, 3], [2, 13], [3, 1], [4, 1], [6, 2]], 1399/3135283200],
[[[1, 3], [2, 13], [3, 1], [4, 2], [6, 1]], 131/4180377600],
[[[1, 3], [2, 13], [3, 1], [6, 1], [10, 1]], 241/1045094400],
[[[1, 3], [2, 13], [4, 1], [6, 1], [8, 1]], 107/1393459200],
[[[1, 3], [2, 13], [4, 1], [6, 1], [10, 1]], 563/290304000],
[[[1, 3], [2, 15], [3, 1], [4, 1], [6, 1]], 7/1791590400],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 3]], 1/24000],
[[[1, 4], [2, 2], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 4], [2, 2], [3, 2], [4, 1], [9, 2]], 1/15552],
[[[1, 4], [2, 2], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 4], [2, 2], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 2]], 1/259200],
[[[1, 4], [2, 2], [3, 3], [4, 2], [8, 2]], 1/13824],
[[[1, 4], [2, 2], [3, 3], [6, 3], [7, 1]], 1/9072],
[[[1, 4], [2, 2], [3, 3], [7, 1], [9, 1]], 1/9072],
[[[1, 4], [2, 2], [3, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 4], [2, 2], [3, 4], [4, 2], [9, 1]], 1/93312],
[[[1, 4], [2, 2], [3, 4], [5, 1], [6, 3]], 1/9720],
[[[1, 4], [2, 2], [3, 4], [5, 1], [9, 1]], 1/116640],
[[[1, 4], [2, 2], [3, 4], [6, 2], [7, 1]], 1/18144],
[[[1, 4], [2, 2], [3, 4], [6, 2], [9, 1]], 83/23328],
[[[1, 4], [2, 2], [3, 5], [4, 1], [9, 1]], 1/69984],
[[[1, 4], [2, 2], [3, 5], [5, 1], [6, 2]], 1/19440],
[[[1, 4], [2, 2], [3, 5], [6, 1], [7, 1]], 1/81648],
[[[1, 4], [2, 2], [3, 5], [6, 1], [9, 1]], 1/8748],
[[[1, 4], [2, 2], [4, 1], [5, 1], [7, 2]], 1/7840],
[[[1, 4], [2, 2], [4, 1], [7, 2], [8, 1]], 1/3136],
[[[1, 4], [2, 2], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 4], [2, 2], [4, 2], [7, 1], [8, 2]], 3/3584],
[[[1, 4], [2, 4], [3, 1], [4, 1], [7, 2]], 1/18816],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 2]], 1/38400],
[[[1, 4], [2, 4], [3, 1], [4, 3], [8, 2]], 1/2048],
[[[1, 4], [2, 4], [3, 1], [4, 4], [9, 1]], 11/110592],
[[[1, 4], [2, 4], [3, 1], [5, 2], [9, 1]], 1/57600],
[[[1, 4], [2, 4], [3, 1], [6, 1], [7, 2]], 1/9408],
[[[1, 4], [2, 4], [3, 1], [6, 1], [14, 2]], 1/9408],
[[[1, 4], [2, 4], [3, 1], [6, 4], [18, 1]], 1/46656],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 5]], 1/31104],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 4]], 1/41472],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 3]], 1/10368],
[[[1, 4], [2, 4], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 4], [2, 4], [3, 2], [6, 3], [14, 1]], 1/6048],
[[[1, 4], [2, 4], [3, 2], [6, 3], [18, 1]], 7/15552],
[[[1, 4], [2, 4], [3, 2], [6, 4], [10, 1]], 1/51840],
[[[1, 4], [2, 4], [3, 2], [7, 1], [9, 1]], 1/36288],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 4]], 7/15552],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 3]], 1/10368],
[[[1, 4], [2, 4], [3, 3], [4, 2], [9, 1]], 1/20736],
[[[1, 4], [2, 4], [3, 3], [4, 3], [6, 2]], 1/10368],
[[[1, 4], [2, 4], [3, 3], [5, 1], [6, 3]], 1/25920],
[[[1, 4], [2, 4], [3, 3], [6, 2], [7, 1]], 1/6048],
[[[1, 4], [2, 4], [3, 3], [6, 2], [9, 1]], 7/15552],
[[[1, 4], [2, 4], [3, 3], [6, 3], [10, 1]], 1/25920],
[[[1, 4], [2, 4], [3, 4], [4, 1], [6, 3]], 7/15552],
[[[1, 4], [2, 4], [3, 4], [4, 2], [6, 2]], 1/41472],
[[[1, 4], [2, 4], [3, 4], [5, 1], [6, 2]], 1/51840],
[[[1, 4], [2, 4], [3, 4], [6, 1], [9, 1]], 1/46656],
[[[1, 4], [2, 4], [3, 5], [4, 1], [6, 2]], 1/31104],
[[[1, 4], [2, 4], [4, 1], [5, 2], [7, 1]], 1/22400],
[[[1, 4], [2, 4], [4, 1], [6, 1], [14, 2]], 1/18816],
[[[1, 4], [2, 4], [4, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 2]], 3/10240],
[[[1, 4], [2, 4], [4, 2], [5, 1], [10, 2]], 1/1280],
[[[1, 4], [2, 4], [4, 2], [5, 2], [8, 1]], 1/12800],
[[[1, 4], [2, 4], [4, 2], [5, 2], [10, 1]], 1/1280],
[[[1, 4], [2, 4], [4, 2], [6, 3], [18, 1]], 1/20736],
[[[1, 4], [2, 4], [4, 2], [7, 1], [14, 1]], 1/448],
[[[1, 4], [2, 4], [4, 2], [8, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 4], [4, 2], [8, 1], [16, 1]], 1/512],
[[[1, 4], [2, 4], [4, 2], [8, 2], [10, 1]], 3/10240],
[[[1, 4], [2, 4], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 2]], 1/2048],
[[[1, 4], [2, 4], [4, 3], [6, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 4], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 4], [2, 4], [4, 3], [7, 1], [8, 1]], 5/7168],
[[[1, 4], [2, 4], [4, 3], [8, 1], [14, 1]], 5/7168],
[[[1, 4], [2, 4], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 4], [4, 4], [5, 1], [8, 1]], 1/2048],
[[[1, 4], [2, 4], [4, 4], [5, 1], [10, 1]], 1/2560],
[[[1, 4], [2, 4], [4, 4], [6, 1], [18, 1]], 11/110592],
[[[1, 4], [2, 4], [4, 4], [8, 1], [10, 1]], 1/2048],
[[[1, 4], [2, 4], [5, 1], [7, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 4], [6, 1], [10, 2], [18, 1]], 1/57600],
[[[1, 4], [2, 4], [6, 2], [14, 1], [18, 1]], 1/36288],
[[[1, 4], [2, 4], [7, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 5]], 1/20736],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 4]], 7/62208],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 3]], 7/82944],
[[[1, 4], [2, 6], [3, 1], [4, 4], [6, 2]], 1/13824],
[[[1, 4], [2, 6], [3, 1], [6, 2], [10, 2]], 1/9600],
[[[1, 4], [2, 6], [3, 1], [6, 3], [14, 1]], 5/36288],
[[[1, 4], [2, 6], [3, 1], [6, 3], [18, 1]], 11/93312],
[[[1, 4], [2, 6], [3, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 4]], 7/20736],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 3]], 13/41472],
[[[1, 4], [2, 6], [3, 2], [4, 3], [6, 2]], 1/20736],
[[[1, 4], [2, 6], [3, 2], [6, 2], [14, 1]], 1/2688],
[[[1, 4], [2, 6], [3, 2], [6, 3], [10, 1]], 7/17280],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 3]], 7/31104],
[[[1, 4], [2, 6], [4, 1], [5, 1], [10, 2]], 1/1600],
[[[1, 4], [2, 6], [4, 1], [6, 2], [10, 2]], 11/172800],
[[[1, 4], [2, 6], [4, 1], [6, 3], [14, 1]], 1/20736],
[[[1, 4], [2, 6], [4, 1], [6, 3], [18, 1]], 7/62208],
[[[1, 4], [2, 6], [4, 1], [6, 4], [8, 1]], 1/373248],
[[[1, 4], [2, 6], [4, 1], [6, 4], [10, 1]], 1/233280],
[[[1, 4], [2, 6], [4, 1], [7, 1], [14, 1]], 1/2304],
[[[1, 4], [2, 6], [4, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 6], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 2]], 1/4096],
[[[1, 4], [2, 6], [4, 2], [6, 1], [10, 2]], 13/76800],
[[[1, 4], [2, 6], [4, 2], [6, 2], [14, 1]], 1/8064],
[[[1, 4], [2, 6], [4, 2], [6, 2], [18, 1]], 13/82944],
[[[1, 4], [2, 6], [4, 2], [6, 3], [8, 1]], 29/248832],
[[[1, 4], [2, 6], [4, 2], [6, 3], [10, 1]], 1/15360],
[[[1, 4], [2, 6], [4, 2], [8, 1], [14, 1]], 13/21504],
[[[1, 4], [2, 6], [4, 2], [10, 1], [14, 1]], 19/107520],
[[[1, 4], [2, 6], [4, 3], [5, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 6], [4, 3], [6, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 6], [4, 3], [6, 1], [18, 1]], 1/27648],
[[[1, 4], [2, 6], [4, 3], [6, 2], [8, 1]], 7/18432],
[[[1, 4], [2, 6], [4, 3], [6, 2], [10, 1]], 1/9216],
[[[1, 4], [2, 6], [4, 3], [8, 1], [10, 1]], 17/30720],
[[[1, 4], [2, 6], [4, 4], [6, 1], [8, 1]], 5/12288],
[[[1, 4], [2, 6], [4, 4], [6, 1], [10, 1]], 17/184320],
[[[1, 4], [2, 6], [5, 1], [6, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 6], [5, 1], [6, 3], [10, 1]], 1/77760],
[[[1, 4], [2, 6], [5, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 6], [6, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 6], [6, 1], [14, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 6], [6, 2], [10, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 6], [6, 2], [10, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 4]], 1/6912],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 3]], 137/829440],
[[[1, 4], [2, 8], [3, 1], [4, 3], [6, 2]], 53/1658880],
[[[1, 4], [2, 8], [3, 1], [4, 4], [6, 1]], 1/276480],
[[[1, 4], [2, 8], [3, 1], [6, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 8], [3, 1], [6, 2], [14, 1]], 173/1451520],
[[[1, 4], [2, 8], [3, 1], [6, 2], [18, 1]], 19/1866240],
[[[1, 4], [2, 8], [3, 1], [6, 3], [10, 1]], 19/103680],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 3]], 13/103680],
[[[1, 4], [2, 8], [3, 2], [4, 2], [6, 2]], 17/829440],
[[[1, 4], [2, 8], [3, 2], [6, 2], [10, 1]], 1/10368],
[[[1, 4], [2, 8], [4, 1], [6, 1], [10, 2]], 113/691200],
[[[1, 4], [2, 8], [4, 1], [6, 2], [14, 1]], 1/6912],
[[[1, 4], [2, 8], [4, 1], [6, 2], [18, 1]], 59/1244160],
[[[1, 4], [2, 8], [4, 1], [6, 3], [8, 1]], 31/746496],
[[[1, 4], [2, 8], [4, 1], [6, 3], [10, 1]], 259/1866240],
[[[1, 4], [2, 8], [4, 1], [8, 1], [14, 1]], 13/645120],
[[[1, 4], [2, 8], [4, 1], [10, 1], [14, 1]], 211/1612800],
[[[1, 4], [2, 8], [4, 2], [5, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 8], [4, 2], [6, 1], [14, 1]], 23/161280],
[[[1, 4], [2, 8], [4, 2], [6, 1], [18, 1]], 29/1658880],
[[[1, 4], [2, 8], [4, 2], [6, 2], [8, 1]], 29/165888],
[[[1, 4], [2, 8], [4, 2], [6, 2], [10, 1]], 7/30720],
[[[1, 4], [2, 8], [4, 2], [8, 1], [10, 1]], 121/921600],
[[[1, 4], [2, 8], [4, 3], [6, 1], [8, 1]], 47/368640],
[[[1, 4], [2, 8], [4, 3], [6, 1], [10, 1]], 41/460800],
[[[1, 4], [2, 8], [5, 1], [6, 2], [10, 1]], 1/51840],
[[[1, 4], [2, 8], [6, 1], [10, 1], [14, 1]], 11/120960],
[[[1, 4], [2, 8], [6, 1], [10, 1], [18, 1]], 17/1382400],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 3]], 113/1935360],
[[[1, 4], [2, 10], [3, 1], [4, 2], [6, 2]], 281/11612160],
[[[1, 4], [2, 10], [3, 1], [4, 3], [6, 1]], 5/4644864],
[[[1, 4], [2, 10], [3, 1], [6, 1], [14, 1]], 1/127008],
[[[1, 4], [2, 10], [3, 1], [6, 2], [10, 1]], 701/14515200],
[[[1, 4], [2, 10], [3, 2], [4, 1], [6, 2]], 31/4354560],
[[[1, 4], [2, 10], [4, 1], [5, 1], [10, 1]], 1/806400],
[[[1, 4], [2, 10], [4, 1], [6, 1], [14, 1]], 89/2257920],
[[[1, 4], [2, 10], [4, 1], [6, 1], [18, 1]], 31/17418240],
[[[1, 4], [2, 10], [4, 1], [6, 2], [8, 1]], 13/995328],
[[[1, 4], [2, 10], [4, 1], [6, 2], [10, 1]], 1241/12441600],
[[[1, 4], [2, 10], [4, 1], [8, 1], [10, 1]], 101/19353600],
[[[1, 4], [2, 10], [4, 2], [6, 1], [8, 1]], 419/23224320],
[[[1, 4], [2, 10], [4, 2], [6, 1], [10, 1]], 127/2150400],
[[[1, 4], [2, 10], [5, 1], [6, 1], [10, 1]], 1/1036800],
[[[1, 4], [2, 12], [3, 1], [4, 1], [6, 2]], 1109/232243200],
[[[1, 4], [2, 12], [3, 1], [4, 2], [6, 1]], 1051/1393459200],
[[[1, 4], [2, 12], [3, 1], [6, 1], [10, 1]], 67/38707200],
[[[1, 4], [2, 12], [4, 1], [6, 1], [8, 1]], 571/836075520],
[[[1, 4], [2, 12], [4, 1], [6, 1], [10, 1]], 12023/1045094400],
[[[1, 4], [2, 14], [3, 1], [4, 1], [6, 1]], 11/154828800],
[[[1, 4], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 4], [3, 3], [6, 1], [9, 1], [18, 1]], 1/3888],
[[[1, 5], [2, 1], [3, 1], [5, 1], [7, 2]], 1/5880],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 3]], 1/18000],
[[[1, 5], [2, 1], [3, 2], [4, 1], [9, 2]], 1/155520],
[[[1, 5], [2, 1], [3, 2], [5, 2], [7, 1]], 1/12600],
[[[1, 5], [2, 1], [3, 2], [5, 2], [9, 1]], 1/5400],
[[[1, 5], [2, 1], [3, 2], [6, 1], [7, 2]], 1/14112],
[[[1, 5], [2, 1], [3, 3], [7, 1], [9, 1]], 1/6804],
[[[1, 5], [2, 1], [3, 4], [4, 1], [5, 2]], 1/97200],
[[[1, 5], [2, 1], [3, 4], [5, 1], [7, 1]], 1/68040],
[[[1, 5], [2, 1], [3, 4], [5, 1], [9, 1]], 7/58320],
[[[1, 5], [2, 1], [3, 4], [5, 2], [6, 1]], 1/16200],
[[[1, 5], [2, 1], [3, 5], [4, 1], [9, 1]], 1/69984],
[[[1, 5], [2, 1], [3, 5], [6, 1], [7, 1]], 1/81648],
[[[1, 5], [2, 1], [3, 5], [6, 1], [9, 1]], 251/209952],
[[[1, 5], [2, 1], [3, 6], [4, 1], [5, 1]], 1/2099520],
[[[1, 5], [2, 1], [3, 6], [4, 1], [8, 1]], 1/839808],
[[[1, 5], [2, 1], [3, 6], [5, 1], [6, 1]], 1/87480],
[[[1, 5], [2, 1], [4, 1], [5, 1], [7, 2]], 1/15680],
[[[1, 5], [2, 1], [4, 1], [7, 2], [8, 1]], 1/6272],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 3]], 1/24000],
[[[1, 5], [2, 3], [3, 1], [4, 1], [7, 2]], 1/6272],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 2]], 1/12800],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 2]], 1/2048],
[[[1, 5], [2, 3], [3, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 5], [2, 3], [3, 1], [5, 2], [9, 1]], 1/14400],
[[[1, 5], [2, 3], [3, 1], [6, 1], [7, 2]], 1/4032],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 2]], 1/11520],
[[[1, 5], [2, 3], [3, 2], [4, 2], [8, 2]], 1/3072],
[[[1, 5], [2, 3], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 3], [3, 2], [7, 1], [9, 1]], 1/9072],
[[[1, 5], [2, 3], [3, 2], [7, 1], [14, 1]], 1/2016],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 2]], 1/259200],
[[[1, 5], [2, 3], [3, 3], [4, 2], [7, 1]], 1/145152],
[[[1, 5], [2, 3], [3, 3], [4, 2], [9, 1]], 1/6912],
[[[1, 5], [2, 3], [3, 3], [4, 3], [5, 1]], 1/207360],
[[[1, 5], [2, 3], [3, 3], [4, 3], [8, 1]], 5/82944],
[[[1, 5], [2, 3], [3, 3], [5, 1], [6, 3]], 1/12960],
[[[1, 5], [2, 3], [3, 3], [5, 1], [7, 1]], 1/181440],
[[[1, 5], [2, 3], [3, 3], [5, 1], [9, 1]], 1/15552],
[[[1, 5], [2, 3], [3, 3], [5, 2], [6, 1]], 1/21600],
[[[1, 5], [2, 3], [3, 3], [6, 2], [7, 1]], 1/4536],
[[[1, 5], [2, 3], [3, 3], [6, 2], [9, 1]], 1/7776],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 3]], 1/15552],
[[[1, 5], [2, 3], [3, 4], [4, 1], [7, 1]], 1/108864],
[[[1, 5], [2, 3], [3, 4], [4, 1], [9, 1]], 7/93312],
[[[1, 5], [2, 3], [3, 4], [4, 2], [5, 1]], 1/155520],
[[[1, 5], [2, 3], [3, 4], [4, 2], [8, 1]], 1/62208],
[[[1, 5], [2, 3], [3, 4], [4, 3], [6, 1]], 1/93312],
[[[1, 5], [2, 3], [3, 4], [5, 1], [6, 2]], 1/5184],
[[[1, 5], [2, 3], [3, 4], [6, 1], [7, 1]], 1/13608],
[[[1, 5], [2, 3], [3, 4], [6, 1], [9, 1]], 1/5184],
[[[1, 5], [2, 3], [3, 5], [4, 1], [6, 2]], 7/93312],
[[[1, 5], [2, 3], [3, 5], [4, 2], [6, 1]], 1/186624],
[[[1, 5], [2, 3], [3, 5], [5, 1], [6, 1]], 1/233280],
[[[1, 5], [2, 3], [3, 6], [4, 1], [6, 1]], 1/139968],
[[[1, 5], [2, 3], [4, 1], [5, 2], [7, 1]], 3/22400],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 2]], 3/5120],
[[[1, 5], [2, 3], [4, 2], [5, 2], [8, 1]], 1/6400],
[[[1, 5], [2, 3], [4, 2], [5, 2], [10, 1]], 1/3200],
[[[1, 5], [2, 3], [4, 2], [7, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 3], [4, 2], [8, 1], [16, 1]], 1/1536],
[[[1, 5], [2, 3], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 5], [2, 3], [4, 3], [7, 1], [8, 1]], 5/7168],
[[[1, 5], [2, 3], [5, 1], [7, 1], [14, 1]], 1/1120],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 2]], 7/230400],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 4]], 1/41472],
[[[1, 5], [2, 5], [3, 1], [4, 2], [8, 2]], 1/12288],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 3]], 1/27648],
[[[1, 5], [2, 5], [3, 1], [4, 3], [7, 1]], 1/21504],
[[[1, 5], [2, 5], [3, 1], [4, 3], [9, 1]], 25/165888],
[[[1, 5], [2, 5], [3, 1], [4, 4], [5, 1]], 1/30720],
[[[1, 5], [2, 5], [3, 1], [4, 4], [6, 2]], 1/8192],
[[[1, 5], [2, 5], [3, 1], [4, 4], [8, 1]], 5/12288],
[[[1, 5], [2, 5], [3, 1], [4, 5], [6, 1]], 1/9216],
[[[1, 5], [2, 5], [3, 1], [6, 2], [10, 2]], 1/115200],
[[[1, 5], [2, 5], [3, 1], [6, 3], [14, 1]], 1/72576],
[[[1, 5], [2, 5], [3, 1], [6, 3], [18, 1]], 5/124416],
[[[1, 5], [2, 5], [3, 1], [7, 1], [9, 1]], 1/96768],
[[[1, 5], [2, 5], [3, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 4]], 5/41472],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 3]], 1/1536],
[[[1, 5], [2, 5], [3, 2], [4, 2], [7, 1]], 1/32256],
[[[1, 5], [2, 5], [3, 2], [4, 2], [9, 1]], 7/82944],
[[[1, 5], [2, 5], [3, 2], [4, 3], [5, 1]], 1/46080],
[[[1, 5], [2, 5], [3, 2], [4, 3], [6, 2]], 5/6912],
[[[1, 5], [2, 5], [3, 2], [4, 3], [8, 1]], 1/18432],
[[[1, 5], [2, 5], [3, 2], [4, 4], [6, 1]], 1/8192],
[[[1, 5], [2, 5], [3, 2], [5, 1], [9, 1]], 1/103680],
[[[1, 5], [2, 5], [3, 2], [5, 2], [6, 1]], 1/115200],
[[[1, 5], [2, 5], [3, 2], [6, 2], [7, 1]], 1/3456],
[[[1, 5], [2, 5], [3, 2], [6, 2], [14, 1]], 1/3456],
[[[1, 5], [2, 5], [3, 2], [6, 3], [10, 1]], 1/17280],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 3]], 13/10368],
[[[1, 5], [2, 5], [3, 3], [4, 1], [9, 1]], 1/62208],
[[[1, 5], [2, 5], [3, 3], [4, 2], [6, 2]], 1/1536],
[[[1, 5], [2, 5], [3, 3], [4, 3], [6, 1]], 1/27648],
[[[1, 5], [2, 5], [3, 3], [5, 1], [6, 2]], 1/17280],
[[[1, 5], [2, 5], [3, 3], [6, 1], [7, 1]], 1/72576],
[[[1, 5], [2, 5], [3, 3], [6, 1], [9, 1]], 5/124416],
[[[1, 5], [2, 5], [3, 4], [4, 1], [6, 2]], 5/41472],
[[[1, 5], [2, 5], [3, 4], [4, 2], [6, 1]], 1/41472],
[[[1, 5], [2, 5], [4, 1], [5, 1], [10, 2]], 1/2400],
[[[1, 5], [2, 5], [4, 1], [5, 2], [8, 1]], 1/51200],
[[[1, 5], [2, 5], [4, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 5], [2, 5], [4, 1], [6, 3], [18, 1]], 1/62208],
[[[1, 5], [2, 5], [4, 1], [7, 1], [14, 1]], 13/10752],
[[[1, 5], [2, 5], [4, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 5], [2, 5], [4, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 5], [2, 5], [4, 2], [5, 1], [7, 1]], 3/35840],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 2]], 1/12288],
[[[1, 5], [2, 5], [4, 2], [6, 1], [10, 2]], 7/230400],
[[[1, 5], [2, 5], [4, 2], [6, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 5], [4, 2], [6, 2], [18, 1]], 7/82944],
[[[1, 5], [2, 5], [4, 2], [7, 1], [8, 1]], 11/21504],
[[[1, 5], [2, 5], [4, 2], [8, 1], [14, 1]], 11/21504],
[[[1, 5], [2, 5], [4, 2], [10, 1], [14, 1]], 3/35840],
[[[1, 5], [2, 5], [4, 3], [5, 1], [8, 1]], 37/61440],
[[[1, 5], [2, 5], [4, 3], [5, 1], [10, 1]], 3/2560],
[[[1, 5], [2, 5], [4, 3], [6, 1], [14, 1]], 1/21504],
[[[1, 5], [2, 5], [4, 3], [6, 1], [18, 1]], 25/165888],
[[[1, 5], [2, 5], [4, 3], [6, 2], [8, 1]], 1/18432],
[[[1, 5], [2, 5], [4, 3], [6, 2], [10, 1]], 1/46080],
[[[1, 5], [2, 5], [4, 3], [8, 1], [10, 1]], 37/61440],
[[[1, 5], [2, 5], [4, 4], [6, 1], [8, 1]], 5/12288],
[[[1, 5], [2, 5], [4, 4], [6, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 5], [5, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 5], [5, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 5], [6, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 5], [6, 1], [14, 1], [18, 1]], 1/96768],
[[[1, 5], [2, 5], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 4]], 23/186624],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 3]], 19/55296],
[[[1, 5], [2, 7], [3, 1], [4, 3], [6, 2]], 19/55296],
[[[1, 5], [2, 7], [3, 1], [4, 4], [6, 1]], 1/16384],
[[[1, 5], [2, 7], [3, 1], [6, 1], [10, 2]], 13/230400],
[[[1, 5], [2, 7], [3, 1], [6, 2], [14, 1]], 59/580608],
[[[1, 5], [2, 7], [3, 1], [6, 2], [18, 1]], 5/248832],
[[[1, 5], [2, 7], [3, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 3]], 1/2304],
[[[1, 5], [2, 7], [3, 2], [4, 2], [6, 2]], 1/3072],
[[[1, 5], [2, 7], [3, 2], [6, 2], [10, 1]], 1/4320],
[[[1, 5], [2, 7], [4, 1], [6, 1], [10, 2]], 13/153600],
[[[1, 5], [2, 7], [4, 1], [6, 2], [14, 1]], 1/12096],
[[[1, 5], [2, 7], [4, 1], [6, 2], [18, 1]], 29/497664],
[[[1, 5], [2, 7], [4, 1], [6, 3], [8, 1]], 1/61440],
[[[1, 5], [2, 7], [4, 1], [6, 3], [10, 1]], 79/2488320],
[[[1, 5], [2, 7], [4, 1], [8, 1], [14, 1]], 83/1290240],
[[[1, 5], [2, 7], [4, 1], [10, 1], [14, 1]], 73/645120],
[[[1, 5], [2, 7], [4, 2], [5, 1], [10, 1]], 13/46080],
[[[1, 5], [2, 7], [4, 2], [6, 1], [14, 1]], 5/32256],
[[[1, 5], [2, 7], [4, 2], [6, 1], [18, 1]], 7/165888],
[[[1, 5], [2, 7], [4, 2], [6, 2], [8, 1]], 5/18432],
[[[1, 5], [2, 7], [4, 2], [6, 2], [10, 1]], 43/276480],
[[[1, 5], [2, 7], [4, 2], [8, 1], [10, 1]], 37/92160],
[[[1, 5], [2, 7], [4, 3], [6, 1], [8, 1]], 41/73728],
[[[1, 5], [2, 7], [4, 3], [6, 1], [10, 1]], 29/138240],
[[[1, 5], [2, 7], [5, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 5], [2, 7], [6, 1], [10, 1], [14, 1]], 1/23040],
[[[1, 5], [2, 7], [6, 1], [10, 1], [18, 1]], 1/82944],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 3]], 379/2488320],
[[[1, 5], [2, 9], [3, 1], [4, 2], [6, 2]], 49/368640],
[[[1, 5], [2, 9], [3, 1], [4, 3], [6, 1]], 1/40960],
[[[1, 5], [2, 9], [3, 1], [6, 1], [14, 1]], 113/5806080],
[[[1, 5], [2, 9], [3, 1], [6, 2], [10, 1]], 691/8294400],
[[[1, 5], [2, 9], [3, 2], [4, 1], [6, 2]], 19/414720],
[[[1, 5], [2, 9], [4, 1], [5, 1], [10, 1]], 1/57600],
[[[1, 5], [2, 9], [4, 1], [6, 1], [14, 1]], 263/3870720],
[[[1, 5], [2, 9], [4, 1], [6, 1], [18, 1]], 61/9953280],
[[[1, 5], [2, 9], [4, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 5], [2, 9], [4, 1], [6, 2], [10, 1]], 101/829440],
[[[1, 5], [2, 9], [4, 1], [8, 1], [10, 1]], 67/3686400],
[[[1, 5], [2, 9], [4, 2], [6, 1], [8, 1]], 11/122880],
[[[1, 5], [2, 9], [4, 2], [6, 1], [10, 1]], 191/1382400],
[[[1, 5], [2, 9], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 11], [3, 1], [4, 1], [6, 2]], 167/6967296],
[[[1, 5], [2, 11], [3, 1], [4, 2], [6, 1]], 317/46448640],
[[[1, 5], [2, 11], [3, 1], [6, 1], [10, 1]], 761/116121600],
[[[1, 5], [2, 11], [4, 1], [6, 1], [8, 1]], 499/154828800],
[[[1, 5], [2, 11], [4, 1], [6, 1], [10, 1]], 1957/58060800],
[[[1, 5], [2, 13], [3, 1], [4, 1], [6, 1]], 2633/4180377600],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 3]], 1/12000],
[[[1, 6], [2, 2], [3, 1], [4, 1], [7, 2]], 1/6272],
[[[1, 6], [2, 2], [3, 1], [5, 2], [7, 1]], 1/5600],
[[[1, 6], [2, 2], [3, 1], [5, 2], [9, 1]], 7/86400],
[[[1, 6], [2, 2], [3, 1], [6, 1], [7, 2]], 5/28224],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 2]], 19/172800],
[[[1, 6], [2, 2], [3, 2], [4, 2], [8, 2]], 1/9216],
[[[1, 6], [2, 2], [3, 2], [7, 1], [9, 1]], 1/9072],
[[[1, 6], [2, 2], [3, 2], [7, 1], [14, 1]], 1/6048],
[[[1, 6], [2, 2], [3, 3], [4, 1], [5, 2]], 13/129600],
[[[1, 6], [2, 2], [3, 3], [4, 2], [7, 1]], 1/145152],
[[[1, 6], [2, 2], [3, 3], [4, 2], [9, 1]], 1/15552],
[[[1, 6], [2, 2], [3, 3], [5, 1], [6, 3]], 1/77760],
[[[1, 6], [2, 2], [3, 3], [5, 1], [7, 1]], 1/12096],
[[[1, 6], [2, 2], [3, 3], [5, 1], [9, 1]], 13/77760],
[[[1, 6], [2, 2], [3, 3], [5, 2], [6, 1]], 1/5400],
[[[1, 6], [2, 2], [3, 3], [6, 2], [7, 1]], 1/18144],
[[[1, 6], [2, 2], [3, 3], [6, 2], [9, 1]], 1/46656],
[[[1, 6], [2, 2], [3, 4], [4, 1], [7, 1]], 1/54432],
[[[1, 6], [2, 2], [3, 4], [4, 1], [9, 1]], 13/139968],
[[[1, 6], [2, 2], [3, 4], [4, 2], [5, 1]], 1/77760],
[[[1, 6], [2, 2], [3, 4], [4, 2], [8, 1]], 1/62208],
[[[1, 6], [2, 2], [3, 4], [5, 1], [6, 2]], 1/17280],
[[[1, 6], [2, 2], [3, 4], [6, 1], [7, 1]], 1/10206],
[[[1, 6], [2, 2], [3, 4], [6, 1], [9, 1]], 5/46656],
[[[1, 6], [2, 2], [3, 5], [4, 1], [5, 1]], 1/77760],
[[[1, 6], [2, 2], [3, 5], [4, 1], [8, 1]], 1/93312],
[[[1, 6], [2, 2], [3, 5], [5, 1], [6, 1]], 1/12960],
[[[1, 6], [2, 2], [3, 6], [4, 1], [6, 1]], 1/139968],
[[[1, 6], [2, 2], [4, 1], [5, 2], [7, 1]], 1/9600],
[[[1, 6], [2, 2], [4, 2], [5, 1], [8, 2]], 1/10240],
[[[1, 6], [2, 2], [4, 2], [5, 2], [8, 1]], 1/38400],
[[[1, 6], [2, 2], [4, 2], [5, 2], [10, 1]], 1/19200],
[[[1, 6], [2, 2], [4, 2], [7, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 2], [4, 2], [8, 1], [16, 1]], 1/15360],
[[[1, 6], [2, 2], [5, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 2]], 13/76800],
[[[1, 6], [2, 4], [3, 1], [4, 2], [8, 2]], 1/4096],
[[[1, 6], [2, 4], [3, 1], [4, 3], [7, 1]], 1/10752],
[[[1, 6], [2, 4], [3, 1], [4, 3], [9, 1]], 1/27648],
[[[1, 6], [2, 4], [3, 1], [4, 4], [5, 1]], 17/184320],
[[[1, 6], [2, 4], [3, 1], [4, 4], [8, 1]], 5/12288],
[[[1, 6], [2, 4], [3, 1], [5, 2], [10, 1]], 1/7200],
[[[1, 6], [2, 4], [3, 1], [7, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 4], [3, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 2]], 11/172800],
[[[1, 6], [2, 4], [3, 2], [4, 2], [7, 1]], 1/8064],
[[[1, 6], [2, 4], [3, 2], [4, 2], [9, 1]], 13/82944],
[[[1, 6], [2, 4], [3, 2], [4, 3], [5, 1]], 1/9216],
[[[1, 6], [2, 4], [3, 2], [4, 3], [6, 2]], 1/20736],
[[[1, 6], [2, 4], [3, 2], [4, 3], [8, 1]], 7/18432],
[[[1, 6], [2, 4], [3, 2], [4, 4], [6, 1]], 1/13824],
[[[1, 6], [2, 4], [3, 2], [5, 1], [7, 1]], 1/24192],
[[[1, 6], [2, 4], [3, 2], [5, 1], [9, 1]], 1/17280],
[[[1, 6], [2, 4], [3, 2], [5, 2], [6, 1]], 1/9600],
[[[1, 6], [2, 4], [3, 2], [6, 2], [7, 1]], 1/2688],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 3]], 7/31104],
[[[1, 6], [2, 4], [3, 3], [4, 1], [7, 1]], 1/20736],
[[[1, 6], [2, 4], [3, 3], [4, 1], [9, 1]], 7/62208],
[[[1, 6], [2, 4], [3, 3], [4, 2], [5, 1]], 1/15360],
[[[1, 6], [2, 4], [3, 3], [4, 2], [6, 2]], 13/41472],
[[[1, 6], [2, 4], [3, 3], [4, 2], [8, 1]], 29/248832],
[[[1, 6], [2, 4], [3, 3], [4, 3], [6, 1]], 7/82944],
[[[1, 6], [2, 4], [3, 3], [5, 1], [6, 2]], 7/17280],
[[[1, 6], [2, 4], [3, 3], [5, 1], [10, 1]], 1/77760],
[[[1, 6], [2, 4], [3, 3], [6, 1], [7, 1]], 5/36288],
[[[1, 6], [2, 4], [3, 3], [6, 1], [9, 1]], 11/93312],
[[[1, 6], [2, 4], [3, 4], [4, 1], [5, 1]], 1/233280],
[[[1, 6], [2, 4], [3, 4], [4, 1], [6, 2]], 7/20736],
[[[1, 6], [2, 4], [3, 4], [4, 1], [8, 1]], 1/373248],
[[[1, 6], [2, 4], [3, 4], [4, 2], [6, 1]], 7/62208],
[[[1, 6], [2, 4], [3, 4], [5, 1], [6, 1]], 1/25920],
[[[1, 6], [2, 4], [3, 5], [4, 1], [6, 1]], 1/20736],
[[[1, 6], [2, 4], [4, 1], [5, 2], [8, 1]], 1/12800],
[[[1, 6], [2, 4], [4, 1], [5, 2], [10, 1]], 1/1600],
[[[1, 6], [2, 4], [4, 1], [7, 1], [14, 1]], 1/2304],
[[[1, 6], [2, 4], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 6], [2, 4], [4, 2], [5, 1], [7, 1]], 19/107520],
[[[1, 6], [2, 4], [4, 2], [7, 1], [8, 1]], 13/21504],
[[[1, 6], [2, 4], [4, 3], [5, 1], [8, 1]], 17/30720],
[[[1, 6], [2, 4], [4, 3], [5, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 4], [5, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 2]], 1/92160],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 4]], 1/124416],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 3]], 13/165888],
[[[1, 6], [2, 6], [3, 1], [4, 2], [7, 1]], 1/18432],
[[[1, 6], [2, 6], [3, 1], [4, 2], [9, 1]], 67/1105920],
[[[1, 6], [2, 6], [3, 1], [4, 3], [5, 1]], 1/18432],
[[[1, 6], [2, 6], [3, 1], [4, 3], [6, 2]], 119/331776],
[[[1, 6], [2, 6], [3, 1], [4, 3], [8, 1]], 3/8192],
[[[1, 6], [2, 6], [3, 1], [4, 4], [6, 1]], 43/73728],
[[[1, 6], [2, 6], [3, 1], [5, 1], [7, 1]], 1/161280],
[[[1, 6], [2, 6], [3, 1], [5, 1], [9, 1]], 1/276480],
[[[1, 6], [2, 6], [3, 1], [5, 2], [6, 1]], 1/76800],
[[[1, 6], [2, 6], [3, 1], [6, 1], [10, 2]], 1/76800],
[[[1, 6], [2, 6], [3, 1], [6, 2], [14, 1]], 5/193536],
[[[1, 6], [2, 6], [3, 1], [6, 2], [18, 1]], 31/1244160],
[[[1, 6], [2, 6], [3, 1], [6, 3], [10, 1]], 1/207360],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 3]], 1/2592],
[[[1, 6], [2, 6], [3, 2], [4, 1], [7, 1]], 1/96768],
[[[1, 6], [2, 6], [3, 2], [4, 1], [9, 1]], 1/55296],
[[[1, 6], [2, 6], [3, 2], [4, 2], [5, 1]], 1/55296],
[[[1, 6], [2, 6], [3, 2], [4, 2], [6, 2]], 43/27648],
[[[1, 6], [2, 6], [3, 2], [4, 2], [8, 1]], 1/55296],
[[[1, 6], [2, 6], [3, 2], [4, 3], [6, 1]], 119/331776],
[[[1, 6], [2, 6], [3, 2], [5, 1], [6, 2]], 7/69120],
[[[1, 6], [2, 6], [3, 2], [6, 1], [7, 1]], 5/193536],
[[[1, 6], [2, 6], [3, 2], [6, 1], [9, 1]], 31/1244160],
[[[1, 6], [2, 6], [3, 2], [6, 2], [10, 1]], 7/69120],
[[[1, 6], [2, 6], [3, 3], [4, 1], [6, 2]], 1/2592],
[[[1, 6], [2, 6], [3, 3], [4, 2], [6, 1]], 13/165888],
[[[1, 6], [2, 6], [3, 3], [5, 1], [6, 1]], 1/207360],
[[[1, 6], [2, 6], [3, 4], [4, 1], [6, 1]], 1/124416],
[[[1, 6], [2, 6], [4, 1], [5, 1], [7, 1]], 1/30720],
[[[1, 6], [2, 6], [4, 1], [6, 1], [10, 2]], 1/92160],
[[[1, 6], [2, 6], [4, 1], [6, 2], [14, 1]], 1/96768],
[[[1, 6], [2, 6], [4, 1], [6, 2], [18, 1]], 1/55296],
[[[1, 6], [2, 6], [4, 1], [7, 1], [8, 1]], 1/20480],
[[[1, 6], [2, 6], [4, 1], [8, 1], [14, 1]], 1/20480],
[[[1, 6], [2, 6], [4, 1], [10, 1], [14, 1]], 1/30720],
[[[1, 6], [2, 6], [4, 2], [5, 1], [8, 1]], 131/614400],
[[[1, 6], [2, 6], [4, 2], [5, 1], [10, 1]], 29/30720],
[[[1, 6], [2, 6], [4, 2], [6, 1], [14, 1]], 1/18432],
[[[1, 6], [2, 6], [4, 2], [6, 1], [18, 1]], 67/1105920],
[[[1, 6], [2, 6], [4, 2], [6, 2], [8, 1]], 1/55296],
[[[1, 6], [2, 6], [4, 2], [6, 2], [10, 1]], 1/55296],
[[[1, 6], [2, 6], [4, 2], [8, 1], [10, 1]], 131/614400],
[[[1, 6], [2, 6], [4, 3], [6, 1], [8, 1]], 3/8192],
[[[1, 6], [2, 6], [4, 3], [6, 1], [10, 1]], 1/18432],
[[[1, 6], [2, 6], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 6], [2, 6], [6, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 3]], 55/331776],
[[[1, 6], [2, 8], [3, 1], [4, 2], [6, 2]], 113/331776],
[[[1, 6], [2, 8], [3, 1], [4, 3], [6, 1]], 119/663552],
[[[1, 6], [2, 8], [3, 1], [6, 1], [14, 1]], 1/34560],
[[[1, 6], [2, 8], [3, 1], [6, 2], [10, 1]], 247/4147200],
[[[1, 6], [2, 8], [3, 2], [4, 1], [6, 2]], 1/5184],
[[[1, 6], [2, 8], [4, 1], [5, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 8], [4, 1], [6, 1], [14, 1]], 19/387072],
[[[1, 6], [2, 8], [4, 1], [6, 1], [18, 1]], 1/110592],
[[[1, 6], [2, 8], [4, 1], [6, 2], [8, 1]], 31/1105920],
[[[1, 6], [2, 8], [4, 1], [6, 2], [10, 1]], 1/20480],
[[[1, 6], [2, 8], [4, 1], [8, 1], [10, 1]], 73/1843200],
[[[1, 6], [2, 8], [4, 2], [6, 1], [8, 1]], 433/2211840],
[[[1, 6], [2, 8], [4, 2], [6, 1], [10, 1]], 751/5529600],
[[[1, 6], [2, 8], [5, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 10], [3, 1], [4, 1], [6, 2]], 433/6635520],
[[[1, 6], [2, 10], [3, 1], [4, 2], [6, 1]], 217/6635520],
[[[1, 6], [2, 10], [3, 1], [6, 1], [10, 1]], 73/5529600],
[[[1, 6], [2, 10], [4, 1], [6, 1], [8, 1]], 43/4423680],
[[[1, 6], [2, 10], [4, 1], [6, 1], [10, 1]], 17/368640],
[[[1, 6], [2, 12], [3, 1], [4, 1], [6, 1]], 121/39813120],
[[[1, 6], [3, 1], [5, 1], [7, 1], [9, 1]], 1/30240],
[[[1, 6], [3, 2], [6, 1], [9, 1], [18, 1]], 1/77760],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 3]], 1/72000],
[[[1, 7], [2, 1], [3, 1], [4, 1], [7, 2]], 1/18816],
[[[1, 7], [2, 1], [3, 1], [5, 2], [7, 1]], 1/7200],
[[[1, 7], [2, 1], [3, 1], [5, 2], [9, 1]], 1/43200],
[[[1, 7], [2, 1], [3, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 7], [2, 1], [3, 2], [7, 1], [9, 1]], 1/34020],
[[[1, 7], [2, 1], [3, 3], [4, 1], [5, 2]], 49/777600],
[[[1, 7], [2, 1], [3, 3], [5, 1], [7, 1]], 11/108864],
[[[1, 7], [2, 1], [3, 3], [5, 1], [9, 1]], 1/15552],
[[[1, 7], [2, 1], [3, 3], [5, 2], [6, 1]], 1/21600],
[[[1, 7], [2, 1], [3, 4], [4, 1], [7, 1]], 1/108864],
[[[1, 7], [2, 1], [3, 4], [4, 1], [9, 1]], 31/1399680],
[[[1, 7], [2, 1], [3, 4], [6, 1], [7, 1]], 1/40824],
[[[1, 7], [2, 1], [3, 4], [6, 1], [9, 1]], 11/699840],
[[[1, 7], [2, 1], [3, 5], [4, 1], [5, 1]], 7/699840],
[[[1, 7], [2, 1], [3, 5], [4, 1], [8, 1]], 1/279936],
[[[1, 7], [2, 1], [3, 5], [5, 1], [6, 1]], 17/699840],
[[[1, 7], [2, 1], [4, 1], [5, 2], [7, 1]], 1/67200],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 2]], 7/46080],
[[[1, 7], [2, 3], [3, 1], [4, 2], [8, 2]], 1/12288],
[[[1, 7], [2, 3], [3, 1], [4, 3], [7, 1]], 1/21504],
[[[1, 7], [2, 3], [3, 1], [4, 3], [9, 1]], 1/276480],
[[[1, 7], [2, 3], [3, 1], [7, 1], [9, 1]], 13/725760],
[[[1, 7], [2, 3], [3, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 2]], 37/172800],
[[[1, 7], [2, 3], [3, 2], [4, 2], [7, 1]], 13/96768],
[[[1, 7], [2, 3], [3, 2], [4, 2], [9, 1]], 1/15360],
[[[1, 7], [2, 3], [3, 2], [4, 3], [5, 1]], 1/13824],
[[[1, 7], [2, 3], [3, 2], [4, 3], [8, 1]], 1/6912],
[[[1, 7], [2, 3], [3, 2], [5, 1], [7, 1]], 1/6720],
[[[1, 7], [2, 3], [3, 2], [5, 1], [9, 1]], 13/155520],
[[[1, 7], [2, 3], [3, 2], [5, 2], [6, 1]], 7/34560],
[[[1, 7], [2, 3], [3, 2], [6, 2], [7, 1]], 1/10368],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 3]], 1/311040],
[[[1, 7], [2, 3], [3, 3], [4, 1], [7, 1]], 47/435456],
[[[1, 7], [2, 3], [3, 3], [4, 1], [9, 1]], 7/62208],
[[[1, 7], [2, 3], [3, 3], [4, 2], [5, 1]], 83/622080],
[[[1, 7], [2, 3], [3, 3], [4, 2], [8, 1]], 13/124416],
[[[1, 7], [2, 3], [3, 3], [4, 3], [6, 1]], 1/62208],
[[[1, 7], [2, 3], [3, 3], [5, 1], [6, 2]], 7/51840],
[[[1, 7], [2, 3], [3, 3], [6, 1], [7, 1]], 1/5184],
[[[1, 7], [2, 3], [3, 3], [6, 1], [9, 1]], 7/103680],
[[[1, 7], [2, 3], [3, 4], [4, 1], [5, 1]], 7/103680],
[[[1, 7], [2, 3], [3, 4], [4, 1], [6, 2]], 61/622080],
[[[1, 7], [2, 3], [3, 4], [4, 1], [8, 1]], 1/31104],
[[[1, 7], [2, 3], [3, 4], [4, 2], [6, 1]], 13/373248],
[[[1, 7], [2, 3], [3, 4], [5, 1], [6, 1]], 41/233280],
[[[1, 7], [2, 3], [3, 5], [4, 1], [6, 1]], 17/279936],
[[[1, 7], [2, 3], [4, 1], [5, 2], [8, 1]], 7/76800],
[[[1, 7], [2, 3], [4, 1], [5, 2], [10, 1]], 1/9600],
[[[1, 7], [2, 3], [4, 1], [7, 1], [14, 1]], 1/17920],
[[[1, 7], [2, 3], [4, 1], [8, 1], [16, 1]], 1/30720],
[[[1, 7], [2, 3], [4, 2], [5, 1], [7, 1]], 19/179200],
[[[1, 7], [2, 3], [4, 2], [7, 1], [8, 1]], 11/107520],
[[[1, 7], [2, 3], [4, 3], [5, 1], [8, 1]], 9/102400],
[[[1, 7], [2, 3], [4, 3], [5, 1], [10, 1]], 1/76800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 2]], 13/153600],
[[[1, 7], [2, 5], [3, 1], [4, 2], [7, 1]], 5/32256],
[[[1, 7], [2, 5], [3, 1], [4, 2], [9, 1]], 7/165888],
[[[1, 7], [2, 5], [3, 1], [4, 3], [5, 1]], 29/138240],
[[[1, 7], [2, 5], [3, 1], [4, 3], [8, 1]], 41/73728],
[[[1, 7], [2, 5], [3, 1], [4, 4], [6, 1]], 1/16384],
[[[1, 7], [2, 5], [3, 1], [5, 1], [7, 1]], 1/23040],
[[[1, 7], [2, 5], [3, 1], [5, 1], [9, 1]], 1/82944],
[[[1, 7], [2, 5], [3, 1], [5, 2], [6, 1]], 13/230400],
[[[1, 7], [2, 5], [3, 2], [4, 1], [7, 1]], 1/12096],
[[[1, 7], [2, 5], [3, 2], [4, 1], [9, 1]], 29/497664],
[[[1, 7], [2, 5], [3, 2], [4, 2], [5, 1]], 43/276480],
[[[1, 7], [2, 5], [3, 2], [4, 2], [6, 2]], 1/3072],
[[[1, 7], [2, 5], [3, 2], [4, 2], [8, 1]], 5/18432],
[[[1, 7], [2, 5], [3, 2], [4, 3], [6, 1]], 19/55296],
[[[1, 7], [2, 5], [3, 2], [5, 1], [6, 2]], 1/4320],
[[[1, 7], [2, 5], [3, 2], [5, 1], [10, 1]], 1/17280],
[[[1, 7], [2, 5], [3, 2], [6, 1], [7, 1]], 59/580608],
[[[1, 7], [2, 5], [3, 2], [6, 1], [9, 1]], 5/248832],
[[[1, 7], [2, 5], [3, 3], [4, 1], [5, 1]], 79/2488320],
[[[1, 7], [2, 5], [3, 3], [4, 1], [6, 2]], 1/2304],
[[[1, 7], [2, 5], [3, 3], [4, 1], [8, 1]], 1/61440],
[[[1, 7], [2, 5], [3, 3], [4, 2], [6, 1]], 19/55296],
[[[1, 7], [2, 5], [3, 3], [5, 1], [6, 1]], 1/12960],
[[[1, 7], [2, 5], [3, 4], [4, 1], [6, 1]], 23/186624],
[[[1, 7], [2, 5], [4, 1], [5, 1], [7, 1]], 73/645120],
[[[1, 7], [2, 5], [4, 1], [7, 1], [8, 1]], 83/1290240],
[[[1, 7], [2, 5], [4, 2], [5, 1], [8, 1]], 37/92160],
[[[1, 7], [2, 5], [4, 2], [5, 1], [10, 1]], 13/46080],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 3]], 7/331776],
[[[1, 7], [2, 7], [3, 1], [4, 1], [7, 1]], 1/86016],
[[[1, 7], [2, 7], [3, 1], [4, 1], [9, 1]], 169/23224320],
[[[1, 7], [2, 7], [3, 1], [4, 2], [5, 1]], 1/36864],
[[[1, 7], [2, 7], [3, 1], [4, 2], [6, 2]], 149/737280],
[[[1, 7], [2, 7], [3, 1], [4, 2], [8, 1]], 173/2211840],
[[[1, 7], [2, 7], [3, 1], [4, 3], [6, 1]], 37/55296],
[[[1, 7], [2, 7], [3, 1], [5, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 7], [3, 1], [6, 1], [7, 1]], 31/1935360],
[[[1, 7], [2, 7], [3, 1], [6, 1], [14, 1]], 31/1935360],
[[[1, 7], [2, 7], [3, 1], [6, 2], [10, 1]], 1/110592],
[[[1, 7], [2, 7], [3, 2], [4, 1], [5, 1]], 7/1658880],
[[[1, 7], [2, 7], [3, 2], [4, 1], [6, 2]], 1/1728],
[[[1, 7], [2, 7], [3, 2], [4, 1], [8, 1]], 1/663552],
[[[1, 7], [2, 7], [3, 2], [4, 2], [6, 1]], 149/737280],
[[[1, 7], [2, 7], [3, 2], [5, 1], [6, 1]], 1/110592],
[[[1, 7], [2, 7], [3, 3], [4, 1], [6, 1]], 7/331776],
[[[1, 7], [2, 7], [4, 1], [5, 1], [8, 1]], 7/409600],
[[[1, 7], [2, 7], [4, 1], [5, 1], [10, 1]], 1/5120],
[[[1, 7], [2, 7], [4, 1], [6, 1], [14, 1]], 1/86016],
[[[1, 7], [2, 7], [4, 1], [6, 1], [18, 1]], 169/23224320],
[[[1, 7], [2, 7], [4, 1], [6, 2], [8, 1]], 1/663552],
[[[1, 7], [2, 7], [4, 1], [6, 2], [10, 1]], 7/1658880],
[[[1, 7], [2, 7], [4, 1], [8, 1], [10, 1]], 7/409600],
[[[1, 7], [2, 7], [4, 2], [6, 1], [8, 1]], 173/2211840],
[[[1, 7], [2, 7], [4, 2], [6, 1], [10, 1]], 1/36864],
[[[1, 7], [2, 7], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 9], [3, 1], [4, 1], [6, 2]], 311/3317760],
[[[1, 7], [2, 9], [3, 1], [4, 2], [6, 1]], 149/1474560],
[[[1, 7], [2, 9], [3, 1], [6, 1], [10, 1]], 29/1843200],
[[[1, 7], [2, 9], [4, 1], [6, 1], [8, 1]], 209/13271040],
[[[1, 7], [2, 9], [4, 1], [6, 1], [10, 1]], 1601/58060800],
[[[1, 7], [2, 11], [3, 1], [4, 1], [6, 1]], 197/22118400],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 2]], 73/3456000],
[[[1, 8], [2, 2], [3, 1], [4, 2], [8, 2]], 1/184320],
[[[1, 8], [2, 2], [3, 1], [7, 1], [9, 1]], 23/5080320],
[[[1, 8], [2, 2], [3, 1], [7, 1], [14, 1]], 1/120960],
[[[1, 8], [2, 2], [3, 2], [4, 1], [5, 2]], 23/172800],
[[[1, 8], [2, 2], [3, 2], [4, 2], [7, 1]], 1/24192],
[[[1, 8], [2, 2], [3, 2], [4, 2], [9, 1]], 7/1244160],
[[[1, 8], [2, 2], [3, 2], [5, 1], [7, 1]], 1/6720],
[[[1, 8], [2, 2], [3, 2], [5, 1], [9, 1]], 13/388800],
[[[1, 8], [2, 2], [3, 2], [5, 2], [6, 1]], 7/86400],
[[[1, 8], [2, 2], [3, 2], [6, 2], [7, 1]], 1/72576],
[[[1, 8], [2, 2], [3, 3], [4, 1], [7, 1]], 23/311040],
[[[1, 8], [2, 2], [3, 3], [4, 1], [9, 1]], 29/933120],
[[[1, 8], [2, 2], [3, 3], [4, 2], [5, 1]], 307/6220800],
[[[1, 8], [2, 2], [3, 3], [4, 2], [8, 1]], 31/1244160],
[[[1, 8], [2, 2], [3, 3], [5, 1], [6, 2]], 1/51840],
[[[1, 8], [2, 2], [3, 3], [6, 1], [7, 1]], 43/544320],
[[[1, 8], [2, 2], [3, 3], [6, 1], [9, 1]], 43/3265920],
[[[1, 8], [2, 2], [3, 4], [4, 1], [5, 1]], 11/155520],
[[[1, 8], [2, 2], [3, 4], [4, 1], [8, 1]], 7/373248],
[[[1, 8], [2, 2], [3, 4], [5, 1], [6, 1]], 7/77760],
[[[1, 8], [2, 2], [3, 5], [4, 1], [6, 1]], 41/2799360],
[[[1, 8], [2, 2], [4, 1], [5, 2], [8, 1]], 1/38400],
[[[1, 8], [2, 2], [4, 1], [7, 1], [14, 1]], 1/564480],
[[[1, 8], [2, 2], [4, 1], [8, 1], [16, 1]], 1/322560],
[[[1, 8], [2, 2], [4, 2], [5, 1], [7, 1]], 1/76800],
[[[1, 8], [2, 2], [4, 2], [7, 1], [8, 1]], 1/107520],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 2]], 113/691200],
[[[1, 8], [2, 4], [3, 1], [4, 2], [7, 1]], 23/161280],
[[[1, 8], [2, 4], [3, 1], [4, 2], [9, 1]], 29/1658880],
[[[1, 8], [2, 4], [3, 1], [4, 3], [5, 1]], 41/460800],
[[[1, 8], [2, 4], [3, 1], [4, 3], [8, 1]], 47/368640],
[[[1, 8], [2, 4], [3, 1], [4, 4], [6, 1]], 1/276480],
[[[1, 8], [2, 4], [3, 1], [5, 1], [7, 1]], 11/120960],
[[[1, 8], [2, 4], [3, 1], [5, 1], [9, 1]], 17/1382400],
[[[1, 8], [2, 4], [3, 1], [5, 2], [6, 1]], 1/12800],
[[[1, 8], [2, 4], [3, 2], [4, 1], [7, 1]], 1/6912],
[[[1, 8], [2, 4], [3, 2], [4, 1], [9, 1]], 59/1244160],
[[[1, 8], [2, 4], [3, 2], [4, 2], [5, 1]], 7/30720],
[[[1, 8], [2, 4], [3, 2], [4, 2], [6, 2]], 17/829440],
[[[1, 8], [2, 4], [3, 2], [4, 2], [8, 1]], 29/165888],
[[[1, 8], [2, 4], [3, 2], [4, 3], [6, 1]], 53/1658880],
[[[1, 8], [2, 4], [3, 2], [5, 1], [6, 2]], 1/10368],
[[[1, 8], [2, 4], [3, 2], [5, 1], [10, 1]], 1/51840],
[[[1, 8], [2, 4], [3, 2], [6, 1], [7, 1]], 173/1451520],
[[[1, 8], [2, 4], [3, 2], [6, 1], [9, 1]], 19/1866240],
[[[1, 8], [2, 4], [3, 3], [4, 1], [5, 1]], 259/1866240],
[[[1, 8], [2, 4], [3, 3], [4, 1], [6, 2]], 13/103680],
[[[1, 8], [2, 4], [3, 3], [4, 1], [8, 1]], 31/746496],
[[[1, 8], [2, 4], [3, 3], [4, 2], [6, 1]], 137/829440],
[[[1, 8], [2, 4], [3, 3], [5, 1], [6, 1]], 19/103680],
[[[1, 8], [2, 4], [3, 4], [4, 1], [6, 1]], 1/6912],
[[[1, 8], [2, 4], [4, 1], [5, 1], [7, 1]], 211/1612800],
[[[1, 8], [2, 4], [4, 1], [7, 1], [8, 1]], 13/645120],
[[[1, 8], [2, 4], [4, 2], [5, 1], [8, 1]], 121/921600],
[[[1, 8], [2, 4], [4, 2], [5, 1], [10, 1]], 1/30720],
[[[1, 8], [2, 6], [3, 1], [4, 1], [7, 1]], 19/387072],
[[[1, 8], [2, 6], [3, 1], [4, 1], [9, 1]], 1/110592],
[[[1, 8], [2, 6], [3, 1], [4, 2], [5, 1]], 751/5529600],
[[[1, 8], [2, 6], [3, 1], [4, 2], [8, 1]], 433/2211840],
[[[1, 8], [2, 6], [3, 1], [4, 3], [6, 1]], 119/663552],
[[[1, 8], [2, 6], [3, 1], [5, 1], [10, 1]], 1/23040],
[[[1, 8], [2, 6], [3, 1], [6, 1], [7, 1]], 1/34560],
[[[1, 8], [2, 6], [3, 2], [4, 1], [5, 1]], 1/20480],
[[[1, 8], [2, 6], [3, 2], [4, 1], [6, 2]], 1/5184],
[[[1, 8], [2, 6], [3, 2], [4, 1], [8, 1]], 31/1105920],
[[[1, 8], [2, 6], [3, 2], [4, 2], [6, 1]], 113/331776],
[[[1, 8], [2, 6], [3, 2], [5, 1], [6, 1]], 247/4147200],
[[[1, 8], [2, 6], [3, 3], [4, 1], [6, 1]], 55/331776],
[[[1, 8], [2, 6], [4, 1], [5, 1], [8, 1]], 73/1843200],
[[[1, 8], [2, 6], [4, 1], [5, 1], [10, 1]], 1/11520],
[[[1, 8], [2, 8], [3, 1], [4, 1], [5, 1]], 1/221184],
[[[1, 8], [2, 8], [3, 1], [4, 1], [6, 2]], 1583/46448640],
[[[1, 8], [2, 8], [3, 1], [4, 1], [8, 1]], 7/1474560],
[[[1, 8], [2, 8], [3, 1], [4, 2], [6, 1]], 517/2211840],
[[[1, 8], [2, 8], [3, 1], [5, 1], [6, 1]], 31/5529600],
[[[1, 8], [2, 8], [3, 1], [6, 1], [10, 1]], 31/5529600],
[[[1, 8], [2, 8], [3, 2], [4, 1], [6, 1]], 1583/46448640],
[[[1, 8], [2, 8], [4, 1], [6, 1], [8, 1]], 7/1474560],
[[[1, 8], [2, 8], [4, 1], [6, 1], [10, 1]], 1/221184],
[[[1, 8], [2, 10], [3, 1], [4, 1], [6, 1]], 1583/92897280],
[[[1, 8], [3, 1], [6, 1], [9, 1], [18, 1]], 1/13063680],
[[[1, 9], [2, 1], [3, 1], [7, 1], [9, 1]], 37/91445760],
[[[1, 9], [2, 1], [3, 2], [4, 1], [5, 2]], 43/2592000],
[[[1, 9], [2, 1], [3, 2], [5, 1], [7, 1]], 41/907200],
[[[1, 9], [2, 1], [3, 2], [5, 1], [9, 1]], 53/10886400],
[[[1, 9], [2, 1], [3, 2], [5, 2], [6, 1]], 1/115200],
[[[1, 9], [2, 1], [3, 3], [4, 1], [7, 1]], 31/2177280],
[[[1, 9], [2, 1], [3, 3], [4, 1], [9, 1]], 1/466560],
[[[1, 9], [2, 1], [3, 3], [6, 1], [7, 1]], 11/1088640],
[[[1, 9], [2, 1], [3, 3], [6, 1], [9, 1]], 17/23514624],
[[[1, 9], [2, 1], [3, 4], [4, 1], [5, 1]], 217/13996800],
[[[1, 9], [2, 1], [3, 4], [4, 1], [8, 1]], 1/349920],
[[[1, 9], [2, 1], [3, 4], [5, 1], [6, 1]], 43/3499200],
[[[1, 9], [2, 1], [4, 1], [5, 2], [8, 1]], 1/460800],
[[[1, 9], [2, 1], [4, 1], [7, 1], [14, 1]], 1/20321280],
[[[1, 9], [2, 1], [4, 1], [8, 1], [16, 1]], 1/11612160],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 2]], 343/3456000],
[[[1, 9], [2, 3], [3, 1], [4, 2], [7, 1]], 11/241920],
[[[1, 9], [2, 3], [3, 1], [4, 2], [9, 1]], 1/387072],
[[[1, 9], [2, 3], [3, 1], [4, 3], [5, 1]], 7/691200],
[[[1, 9], [2, 3], [3, 1], [4, 3], [8, 1]], 11/1105920],
[[[1, 9], [2, 3], [3, 1], [5, 1], [7, 1]], 13/172800],
[[[1, 9], [2, 3], [3, 1], [5, 1], [9, 1]], 101/21772800],
[[[1, 9], [2, 3], [3, 1], [5, 2], [6, 1]], 13/345600],
[[[1, 9], [2, 3], [3, 2], [4, 1], [7, 1]], 67/725760],
[[[1, 9], [2, 3], [3, 2], [4, 1], [9, 1]], 121/8709120],
[[[1, 9], [2, 3], [3, 2], [4, 2], [5, 1]], 77/829440],
[[[1, 9], [2, 3], [3, 2], [4, 2], [8, 1]], 29/829440],
[[[1, 9], [2, 3], [3, 2], [4, 3], [6, 1]], 1/1244160],
[[[1, 9], [2, 3], [3, 2], [5, 1], [6, 2]], 1/51840],
[[[1, 9], [2, 3], [3, 2], [6, 1], [7, 1]], 527/10160640],
[[[1, 9], [2, 3], [3, 2], [6, 1], [9, 1]], 1/483840],
[[[1, 9], [2, 3], [3, 3], [4, 1], [5, 1]], 269/2073600],
[[[1, 9], [2, 3], [3, 3], [4, 1], [6, 2]], 1/77760],
[[[1, 9], [2, 3], [3, 3], [4, 1], [8, 1]], 61/2488320],
[[[1, 9], [2, 3], [3, 3], [4, 2], [6, 1]], 47/2488320],
[[[1, 9], [2, 3], [3, 3], [5, 1], [6, 1]], 83/777600],
[[[1, 9], [2, 3], [3, 4], [4, 1], [6, 1]], 31/559872],
[[[1, 9], [2, 3], [4, 1], [5, 1], [7, 1]], 227/3763200],
[[[1, 9], [2, 3], [4, 1], [7, 1], [8, 1]], 23/4515840],
[[[1, 9], [2, 3], [4, 2], [5, 1], [8, 1]], 19/1075200],
[[[1, 9], [2, 3], [4, 2], [5, 1], [10, 1]], 1/1612800],
[[[1, 9], [2, 5], [3, 1], [4, 1], [7, 1]], 263/3870720],
[[[1, 9], [2, 5], [3, 1], [4, 1], [9, 1]], 61/9953280],
[[[1, 9], [2, 5], [3, 1], [4, 2], [5, 1]], 191/1382400],
[[[1, 9], [2, 5], [3, 1], [4, 2], [8, 1]], 11/122880],
[[[1, 9], [2, 5], [3, 1], [4, 3], [6, 1]], 1/40960],
[[[1, 9], [2, 5], [3, 1], [5, 1], [10, 1]], 1/69120],
[[[1, 9], [2, 5], [3, 1], [6, 1], [7, 1]], 113/5806080],
[[[1, 9], [2, 5], [3, 2], [4, 1], [5, 1]], 101/829440],
[[[1, 9], [2, 5], [3, 2], [4, 1], [6, 2]], 19/414720],
[[[1, 9], [2, 5], [3, 2], [4, 1], [8, 1]], 1/34560],
[[[1, 9], [2, 5], [3, 2], [4, 2], [6, 1]], 49/368640],
[[[1, 9], [2, 5], [3, 2], [5, 1], [6, 1]], 691/8294400],
[[[1, 9], [2, 5], [3, 3], [4, 1], [6, 1]], 379/2488320],
[[[1, 9], [2, 5], [4, 1], [5, 1], [8, 1]], 67/3686400],
[[[1, 9], [2, 5], [4, 1], [5, 1], [10, 1]], 1/57600],
[[[1, 9], [2, 7], [3, 1], [4, 1], [5, 1]], 1601/58060800],
[[[1, 9], [2, 7], [3, 1], [4, 1], [8, 1]], 209/13271040],
[[[1, 9], [2, 7], [3, 1], [4, 2], [6, 1]], 149/1474560],
[[[1, 9], [2, 7], [3, 1], [5, 1], [6, 1]], 29/1843200],
[[[1, 9], [2, 7], [3, 2], [4, 1], [6, 1]], 311/3317760],
[[[1, 9], [2, 9], [3, 1], [4, 1], [6, 1]], 421/15482880],
[[[1, 10], [2, 2], [3, 1], [4, 1], [5, 2]], 1009/48384000],
[[[1, 10], [2, 2], [3, 1], [4, 2], [7, 1]], 1/276480],
[[[1, 10], [2, 2], [3, 1], [4, 2], [9, 1]], 131/1045094400],
[[[1, 10], [2, 2], [3, 1], [5, 1], [7, 1]], 139/5644800],
[[[1, 10], [2, 2], [3, 1], [5, 1], [9, 1]], 199/261273600],
[[[1, 10], [2, 2], [3, 1], [5, 2], [6, 1]], 1/138240],
[[[1, 10], [2, 2], [3, 2], [4, 1], [7, 1]], 31/1451520],
[[[1, 10], [2, 2], [3, 2], [4, 1], [9, 1]], 247/156764160],
[[[1, 10], [2, 2], [3, 2], [4, 2], [5, 1]], 19/2073600],
[[[1, 10], [2, 2], [3, 2], [4, 2], [8, 1]], 1/414720],
[[[1, 10], [2, 2], [3, 2], [5, 1], [6, 2]], 1/622080],
[[[1, 10], [2, 2], [3, 2], [6, 1], [7, 1]], 1633/182891520],
[[[1, 10], [2, 2], [3, 2], [6, 1], [9, 1]], 13/78382080],
[[[1, 10], [2, 2], [3, 3], [4, 1], [5, 1]], 817/21772800],
[[[1, 10], [2, 2], [3, 3], [4, 1], [8, 1]], 127/26127360],
[[[1, 10], [2, 2], [3, 3], [5, 1], [6, 1]], 167/7257600],
[[[1, 10], [2, 2], [3, 4], [4, 1], [6, 1]], 37/5598720],
[[[1, 10], [2, 2], [4, 1], [5, 1], [7, 1]], 2179/203212800],
[[[1, 10], [2, 2], [4, 1], [7, 1], [8, 1]], 37/81285120],
[[[1, 10], [2, 2], [4, 2], [5, 1], [8, 1]], 127/116121600],
[[[1, 10], [2, 2], [4, 2], [5, 1], [10, 1]], 1/58060800],
[[[1, 10], [2, 4], [3, 1], [4, 1], [7, 1]], 89/2257920],
[[[1, 10], [2, 4], [3, 1], [4, 1], [9, 1]], 31/17418240],
[[[1, 10], [2, 4], [3, 1], [4, 2], [5, 1]], 127/2150400],
[[[1, 10], [2, 4], [3, 1], [4, 2], [8, 1]], 419/23224320],
[[[1, 10], [2, 4], [3, 1], [4, 3], [6, 1]], 5/4644864],
[[[1, 10], [2, 4], [3, 1], [5, 1], [10, 1]], 1/1036800],
[[[1, 10], [2, 4], [3, 1], [6, 1], [7, 1]], 1/127008],
[[[1, 10], [2, 4], [3, 2], [4, 1], [5, 1]], 1241/12441600],
[[[1, 10], [2, 4], [3, 2], [4, 1], [6, 2]], 31/4354560],
[[[1, 10], [2, 4], [3, 2], [4, 1], [8, 1]], 13/995328],
[[[1, 10], [2, 4], [3, 2], [4, 2], [6, 1]], 281/11612160],
[[[1, 10], [2, 4], [3, 2], [5, 1], [6, 1]], 701/14515200],
[[[1, 10], [2, 4], [3, 3], [4, 1], [6, 1]], 113/1935360],
[[[1, 10], [2, 4], [4, 1], [5, 1], [8, 1]], 101/19353600],
[[[1, 10], [2, 4], [4, 1], [5, 1], [10, 1]], 1/806400],
[[[1, 10], [2, 6], [3, 1], [4, 1], [5, 1]], 17/368640],
[[[1, 10], [2, 6], [3, 1], [4, 1], [8, 1]], 43/4423680],
[[[1, 10], [2, 6], [3, 1], [4, 2], [6, 1]], 217/6635520],
[[[1, 10], [2, 6], [3, 1], [5, 1], [6, 1]], 73/5529600],
[[[1, 10], [2, 6], [3, 2], [4, 1], [6, 1]], 433/6635520],
[[[1, 10], [2, 8], [3, 1], [4, 1], [6, 1]], 1583/92897280],
[[[1, 11], [2, 1], [3, 1], [4, 1], [5, 2]], 611/435456000],
[[[1, 11], [2, 1], [3, 1], [5, 1], [7, 1]], 499/152409600],
[[[1, 11], [2, 1], [3, 1], [5, 1], [9, 1]], 1/18662400],
[[[1, 11], [2, 1], [3, 1], [5, 2], [6, 1]], 1/2073600],
[[[1, 11], [2, 1], [3, 2], [4, 1], [7, 1]], 1/725760],
[[[1, 11], [2, 1], [3, 2], [4, 1], [9, 1]], 47/783820800],
[[[1, 11], [2, 1], [3, 2], [6, 1], [7, 1]], 17/36578304],
[[[1, 11], [2, 1], [3, 2], [6, 1], [9, 1]], 1/235146240],
[[[1, 11], [2, 1], [3, 3], [4, 1], [5, 1]], 7183/2351462400],
[[[1, 11], [2, 1], [3, 3], [4, 1], [8, 1]], 253/940584960],
[[[1, 11], [2, 1], [3, 3], [5, 1], [6, 1]], 79/48988800],
[[[1, 11], [2, 1], [4, 1], [5, 1], [7, 1]], 127/203212800],
[[[1, 11], [2, 1], [4, 1], [7, 1], [8, 1]], 1/81285120],
[[[1, 11], [2, 3], [3, 1], [4, 1], [7, 1]], 485/48771072],
[[[1, 11], [2, 3], [3, 1], [4, 1], [9, 1]], 251/1045094400],
[[[1, 11], [2, 3], [3, 1], [4, 2], [5, 1]], 337/34836480],
[[[1, 11], [2, 3], [3, 1], [4, 2], [8, 1]], 247/139345920],
[[[1, 11], [2, 3], [3, 1], [4, 3], [6, 1]], 1/209018880],
[[[1, 11], [2, 3], [3, 1], [6, 1], [7, 1]], 5/3483648],
[[[1, 11], [2, 3], [3, 2], [4, 1], [5, 1]], 209/6451200],
[[[1, 11], [2, 3], [3, 2], [4, 1], [6, 2]], 11/26127360],
[[[1, 11], [2, 3], [3, 2], [4, 1], [8, 1]], 67/23224320],
[[[1, 11], [2, 3], [3, 2], [4, 2], [6, 1]], 3071/2090188800],
[[[1, 11], [2, 3], [3, 2], [5, 1], [6, 1]], 37/2985984],
[[[1, 11], [2, 3], [3, 3], [4, 1], [6, 1]], 3187/313528320],
[[[1, 11], [2, 3], [4, 1], [5, 1], [8, 1]], 199/232243200],
[[[1, 11], [2, 3], [4, 1], [5, 1], [10, 1]], 1/29030400],
[[[1, 11], [2, 5], [3, 1], [4, 1], [5, 1]], 1957/58060800],
[[[1, 11], [2, 5], [3, 1], [4, 1], [8, 1]], 499/154828800],
[[[1, 11], [2, 5], [3, 1], [4, 2], [6, 1]], 317/46448640],
[[[1, 11], [2, 5], [3, 1], [5, 1], [6, 1]], 761/116121600],
[[[1, 11], [2, 5], [3, 2], [4, 1], [6, 1]], 167/6967296],
[[[1, 11], [2, 7], [3, 1], [4, 1], [6, 1]], 197/22118400],
[[[1, 12], [2, 2], [3, 1], [4, 1], [7, 1]], 641/609638400],
[[[1, 12], [2, 2], [3, 1], [4, 1], [9, 1]], 23/1567641600],
[[[1, 12], [2, 2], [3, 1], [4, 2], [5, 1]], 913/1741824000],
[[[1, 12], [2, 2], [3, 1], [4, 2], [8, 1]], 47/696729600],
[[[1, 12], [2, 2], [3, 1], [6, 1], [7, 1]], 1/9144576],
[[[1, 12], [2, 2], [3, 2], [4, 1], [5, 1]], 757/174182400],
[[[1, 12], [2, 2], [3, 2], [4, 1], [8, 1]], 11/41803776],
[[[1, 12], [2, 2], [3, 2], [5, 1], [6, 1]], 41/29030400],
[[[1, 12], [2, 2], [3, 3], [4, 1], [6, 1]], 887/1567641600],
[[[1, 12], [2, 2], [4, 1], [5, 1], [8, 1]], 1/16588800],
[[[1, 12], [2, 4], [3, 1], [4, 1], [5, 1]], 12023/1045094400],
[[[1, 12], [2, 4], [3, 1], [4, 1], [8, 1]], 571/836075520],
[[[1, 12], [2, 4], [3, 1], [4, 2], [6, 1]], 1051/1393459200],
[[[1, 12], [2, 4], [3, 1], [5, 1], [6, 1]], 67/38707200],
[[[1, 12], [2, 4], [3, 2], [4, 1], [6, 1]], 1109/232243200],
[[[1, 12], [2, 6], [3, 1], [4, 1], [6, 1]], 121/39813120],
[[[1, 13], [2, 1], [3, 1], [4, 1], [7, 1]], 47/1219276800],
[[[1, 13], [2, 1], [3, 1], [4, 1], [9, 1]], 1/3135283200],
[[[1, 13], [2, 1], [3, 1], [6, 1], [7, 1]], 1/365783040],
[[[1, 13], [2, 1], [3, 2], [4, 1], [5, 1]], 7/34992000],
[[[1, 13], [2, 1], [3, 2], [4, 1], [8, 1]], 13/1567641600],
[[[1, 13], [2, 1], [3, 2], [5, 1], [6, 1]], 89/1567641600],
[[[1, 13], [2, 1], [4, 1], [5, 1], [8, 1]], 1/696729600],
[[[1, 13], [2, 3], [3, 1], [4, 1], [5, 1]], 563/290304000],
[[[1, 13], [2, 3], [3, 1], [4, 1], [8, 1]], 107/1393459200],
[[[1, 13], [2, 3], [3, 1], [4, 2], [6, 1]], 131/4180377600],
[[[1, 13], [2, 3], [3, 1], [5, 1], [6, 1]], 241/1045094400],
[[[1, 13], [2, 3], [3, 2], [4, 1], [6, 1]], 1399/3135283200],
[[[1, 13], [2, 5], [3, 1], [4, 1], [6, 1]], 2633/4180377600],
[[[1, 14], [2, 2], [3, 1], [4, 1], [5, 1]], 271/1741824000],
[[[1, 14], [2, 2], [3, 1], [4, 1], [8, 1]], 17/4180377600],
[[[1, 14], [2, 2], [3, 1], [5, 1], [6, 1]], 1/69672960],
[[[1, 14], [2, 2], [3, 2], [4, 1], [6, 1]], 19/1254113280],
[[[1, 14], [2, 4], [3, 1], [4, 1], [6, 1]], 11/154828800],
[[[1, 15], [2, 1], [3, 1], [4, 1], [5, 1]], 37/7838208000],
[[[1, 15], [2, 1], [3, 1], [4, 1], [8, 1]], 1/12541132800],
[[[1, 15], [2, 1], [3, 1], [5, 1], [6, 1]], 1/3135283200],
[[[1, 15], [2, 3], [3, 1], [4, 1], [6, 1]], 7/1791590400],
[[[1, 16], [2, 2], [3, 1], [4, 1], [6, 1]], 1/12541132800],
[[[2, 2], [3, 1], [6, 4], [9, 1], [18, 1]], 1/5832],
[[[2, 2], [6, 2], [10, 1], [18, 1], [30, 1]], 1/90],
[[[2, 4], [3, 1], [6, 3], [9, 1], [18, 1]], 1/3888],
[[[2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[2, 6], [3, 1], [6, 2], [9, 1], [18, 1]], 1/77760],
[[[2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/30240],
[[[2, 8], [3, 1], [6, 1], [9, 1], [18, 1]], 1/13063680],
[[[1, 1], [2, 1], [3, 1], [6, 1], [7, 1], [21, 1]], 1/84],
[[[1, 1], [2, 1], [3, 1], [6, 1], [9, 1], [18, 2]], 1/108],
[[[1, 1], [2, 1], [3, 1], [6, 1], [9, 2], [18, 1]], 1/108],
[[[1, 1], [2, 1], [3, 1], [6, 1], [14, 1], [42, 1]], 1/84],
[[[1, 1], [2, 1], [3, 2], [4, 1], [5, 1], [9, 2]], 1/6480],
[[[1, 1], [2, 1], [3, 2], [4, 1], [8, 1], [9, 2]], 1/2592],
[[[1, 1], [2, 1], [3, 2], [6, 3], [9, 1], [18, 1]], 1/648],
[[[1, 1], [2, 1], [3, 3], [6, 2], [9, 1], [18, 1]], 1/648],
[[[1, 1], [2, 1], [4, 1], [6, 2], [8, 1], [18, 2]], 1/2592],
[[[1, 1], [2, 1], [4, 1], [6, 2], [10, 1], [18, 2]], 1/6480],
[[[1, 1], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 7/1296],
[[[1, 1], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 1/120],
[[[1, 1], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 1/4536],
[[[1, 1], [2, 3], [3, 1], [6, 4], [10, 1], [18, 1]], 1/4860],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 1/11664],
[[[1, 1], [2, 3], [3, 2], [6, 2], [9, 1], [18, 1]], 1/1296],
[[[1, 1], [2, 3], [4, 1], [6, 2], [10, 2], [18, 1]], 1/5400],
[[[1, 1], [2, 3], [4, 1], [6, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 1], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/5184],
[[[1, 1], [2, 3], [4, 1], [6, 4], [8, 1], [18, 1]], 1/23328],
[[[1, 1], [2, 3], [4, 1], [6, 4], [10, 1], [18, 1]], 1/58320],
[[[1, 1], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 1/448],
[[[1, 1], [2, 3], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 1/2880],
[[[1, 1], [2, 5], [3, 1], [6, 2], [9, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560],
[[[1, 1], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/7776],
[[[1, 1], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 1/7776],
[[[1, 1], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 1], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/43200],
[[[1, 1], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/6048],
[[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/7200],
[[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/3456],
[[[1, 1], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 1], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/90720],
[[[1, 1], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 7/38880],
[[[1, 1], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/38880],
[[[1, 1], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 1], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 1], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 7], [3, 1], [6, 1], [9, 1], [18, 1]], 1/362880],
[[[1, 1], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 1/12096],
[[[1, 1], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 1/77760],
[[[1, 1], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 1/155520],
[[[1, 1], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 1/69120],
[[[1, 1], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 1/120960],
[[[1, 1], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 1/311040],
[[[1, 1], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8640],
[[[1, 1], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 11/388800],
[[[1, 1], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 13/311040],
[[[1, 1], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 1/26127360],
[[[1, 1], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/29030400],
[[[1, 1], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 1/483840],
[[[1, 1], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1/52254720],
[[[1, 1], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 11/604800],
[[[1, 1], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 127/130636800],
[[[1, 1], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 7/1036800],
[[[1, 1], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 11/43545600],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 1/14400],
[[[1, 2], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/768],
[[[1, 2], [2, 2], [3, 1], [6, 3], [14, 1], [18, 1]], 1/4536],
[[[1, 2], [2, 2], [3, 1], [7, 1], [9, 1], [14, 1]], 1/504],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/96],
[[[1, 2], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 1/240],
[[[1, 2], [2, 2], [3, 2], [6, 2], [9, 1], [18, 1]], 7/216],
[[[1, 2], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1/240],
[[[1, 2], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 1/1296],
[[[1, 2], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 1/4536],
[[[1, 2], [2, 2], [3, 4], [4, 1], [6, 3], [12, 1]], 1/1296],
[[[1, 2], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 1/448],
[[[1, 2], [2, 2], [4, 1], [8, 1], [14, 1], [16, 1]], 1/448],
[[[1, 2], [2, 2], [4, 2], [5, 1], [7, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 2], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/640],
[[[1, 2], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 1/320],
[[[1, 2], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 2], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 1/768],
[[[1, 2], [2, 2], [4, 2], [6, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 2], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 1/224],
[[[1, 2], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/640],
[[[1, 2], [2, 2], [6, 1], [7, 1], [14, 1], [18, 1]], 1/504],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/10800],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 1/7776],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [8, 1]], 1/46656],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [10, 1]], 1/116640],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/15552],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 1/7776],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/900],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/9720],
[[[1, 2], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 1/1728],
[[[1, 2], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 1/2268],
[[[1, 2], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/2160],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 5/1296],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/1728],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 1/2592],
[[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 2], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/7200],
[[[1, 2], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 1/2016],
[[[1, 2], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/36288],
[[[1, 2], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/90720],
[[[1, 2], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 1/640],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/25920],
[[[1, 2], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1280],
[[[1, 2], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 2], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/51840],
[[[1, 2], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/840],
[[[1, 2], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 1/3360],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/17280],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/12096],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 11/155520],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/23328],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 11/116640],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/10368],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/5184],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 1/7200],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/6480],
[[[1, 2], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 23/60480],
[[[1, 2], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1/34560],
[[[1, 2], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 11/120960],
[[[1, 2], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3780],
[[[1, 2], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 7/51840],
[[[1, 2], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 1/3840],
[[[1, 2], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 2], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 2], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 1/69120],
[[[1, 2], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 7/345600],
[[[1, 2], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 7/34560],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/172800],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 11/241920],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 1/311040],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 11/622080],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 23/388800],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1/207360],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 1/103680],
[[[1, 2], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1/129600],
[[[1, 2], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1/725760],
[[[1, 2], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1/806400],
[[[1, 2], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1/30240],
[[[1, 2], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 1/1451520],
[[[1, 2], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 101/604800],
[[[1, 2], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 19/1209600],
[[[1, 2], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 1/13824],
[[[1, 2], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 1/345600],
[[[1, 2], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 11/345600],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 1/483840],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 17/20901888],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 79/10450944],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 1/34836480],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 1/17418240],
[[[1, 2], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 1/21772800],
[[[1, 2], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 53/9676800],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/209018880],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 127/522547200],
[[[1, 2], [3, 1], [6, 1], [7, 1], [9, 1], [18, 1]], 1/504],
[[[1, 2], [3, 2], [5, 1], [6, 1], [9, 1], [18, 1]], 1/540],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 2], [9, 1]], 1/5400],
[[[1, 3], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 3], [2, 1], [3, 2], [6, 2], [9, 1], [18, 1]], 1/1296],
[[[1, 3], [2, 1], [3, 3], [4, 1], [7, 1], [14, 1]], 1/9072],
[[[1, 3], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/5184],
[[[1, 3], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1/120],
[[[1, 3], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/4536],
[[[1, 3], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 7/1296],
[[[1, 3], [2, 1], [3, 4], [4, 1], [5, 1], [9, 1]], 1/58320],
[[[1, 3], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 1/23328],
[[[1, 3], [2, 1], [3, 4], [5, 1], [6, 1], [9, 1]], 1/4860],
[[[1, 3], [2, 1], [3, 5], [4, 1], [6, 2], [12, 1]], 1/11664],
[[[1, 3], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 1/448],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/14400],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 1/7776],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/1536],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1/10368],
[[[1, 3], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 1/8064],
[[[1, 3], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 1/11520],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/384],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/5184],
[[[1, 3], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 5/4608],
[[[1, 3], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 1/10080],
[[[1, 3], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 3], [3, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/1296],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 1/10368],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 3], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/28800],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/1536],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/1728],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/576],
[[[1, 3], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1/5184],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 1/1080],
[[[1, 3], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 3], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 1/12960],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/1296],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 1/2592],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 11/864],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 1/10368],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/1728],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 1/576],
[[[1, 3], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 3], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 1/1080],
[[[1, 3], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 1/25920],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 1/7776],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/10368],
[[[1, 3], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 3/2240],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 3], [2, 3], [4, 1], [6, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 3], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 1/224],
[[[1, 3], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 3/2240],
[[[1, 3], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 3], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 3], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 3], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 3], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 3/1280],
[[[1, 3], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 5/4608],
[[[1, 3], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 3], [2, 3], [6, 1], [10, 1], [14, 1], [18, 1]], 1/10080],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/4800],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/6048],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 5/15552],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/5184],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/7776],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/23328],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 1/3072],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 1/16128],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 1/20736],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/2304],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/8640],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/1728],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/2304],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/8640],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/1200],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/2160],
[[[1, 3], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2880],
[[[1, 3], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 7/25920],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/10368],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 13/25920],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/3456],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/3456],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1200],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 3], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 1/896],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 5/24192],
[[[1, 3], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 1/2880],
[[[1, 3], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 1/103680],
[[[1, 3], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 3], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/1280],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 61/241920],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 13/311040],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 1/4608],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1/3240],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/15552],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 7/46080],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 47/691200],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 1/6912],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1/46080],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 3], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1/41472],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 7/103680],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1/69120],
[[[1, 3], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 3], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 3], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 1/138240],
[[[1, 3], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 1/12800],
[[[1, 3], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 13/69120],
[[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 1/34560],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 19/967680],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 631/7257600],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 1/311040],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 1/215040],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 7/1382400],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/483840],
[[[1, 3], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1/604800],
[[[1, 3], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 1/172800],
[[[1, 3], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 13/345600],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 1/4644864],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 811/174182400],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 1/52254720],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 1/7200],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1280],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/4800],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/2400],
[[[1, 4], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/8064],
[[[1, 4], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 4], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/3360],
[[[1, 4], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/840],
[[[1, 4], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 4], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 1/4320],
[[[1, 4], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456],
[[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/900],
[[[1, 4], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 1/2268],
[[[1, 4], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 1/1728],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/90720],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/4320],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/10800],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 1/2592],
[[[1, 4], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 1/36288],
[[[1, 4], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/51840],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/1728],
[[[1, 4], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 4], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/2160],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 1/7776],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 5/1296],
[[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/15552],
[[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/7776],
[[[1, 4], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/9720],
[[[1, 4], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1]], 1/116640],
[[[1, 4], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 1/46656],
[[[1, 4], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 1/640],
[[[1, 4], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/28800],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/12096],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/3456],
[[[1, 4], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 1/13440],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 1/7680],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 7/1536],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 1/16128],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 5/6912],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/17280],
[[[1, 4], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 4], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 11/13824],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/1024],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/23040],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 5/4608],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1/768],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 4], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 1/336],
[[[1, 4], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 1/12960],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/28800],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 5/10368],
[[[1, 4], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/2880],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 1/16128],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 5/6912],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1/288],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1/2880],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 5/1152],
[[[1, 4], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/23040],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/1024],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/360],
[[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/8640],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 1/12096],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 1/3456],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 5/10368],
[[[1, 4], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/17280],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1120],
[[[1, 4], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1152],
[[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 4], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 4], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 4], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1/256],
[[[1, 4], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 11/13824],
[[[1, 4], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 1/7680],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 7/57600],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 19/48384],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 1/6912],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 7/13824],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2880],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1/5184],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 7/6912],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 43/69120],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 5/6912],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2048],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/9216],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 4], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 1/2304],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 7/17280],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 5/20736],
[[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 4], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 11/40320],
[[[1, 4], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 13/103680],
[[[1, 4], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1/13824],
[[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1536],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 17/23040],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 29/241920],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 41/276480],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 23/76800],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1/20736],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 11/138240],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 131/1382400],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 13/138240],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 13/3870720],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 101/3225600],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1451520],
[[[1, 4], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/4320],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/43200],
[[[1, 5], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/4320],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/7200],
[[[1, 5], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 5], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/6048],
[[[1, 5], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/3456],
[[[1, 5], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/9072],
[[[1, 5], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 1/5184],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/90720],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 7/38880],
[[[1, 5], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/36288],
[[[1, 5], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 1/15552],
[[[1, 5], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 5], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/7776],
[[[1, 5], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/38880],
[[[1, 5], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 1/7776],
[[[1, 5], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 5], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1/9600],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/1200],
[[[1, 5], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 5/24192],
[[[1, 5], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 1/896],
[[[1, 5], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1/4480],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 1/2688],
[[[1, 5], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/1280],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/8064],
[[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/1200],
[[[1, 5], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 5], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 1/10368],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/6720],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 1/2880],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/4800],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016],
[[[1, 5], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 5], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/3840],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 1/16128],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 1/3456],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 1/1152],
[[[1, 5], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/8640],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1152],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2880],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 7/25920],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 13/25920],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/103680],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/12960],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/6048],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 5/15552],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/10368],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 5], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/8640],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/1728],
[[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/2160],
[[[1, 5], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/7776],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/5184],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 1/23328],
[[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 3/8960],
[[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1120],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 1/20160],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 7/138240],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/19200],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1/5376],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 7/20736],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 1/41472],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/25920],
[[[1, 5], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 5], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 7/92160],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/11520],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 13/23040],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 5/10752],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 5/10752],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 31/27648],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 7/46080],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 1/2304],
[[[1, 5], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 17/46080],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 13/3072],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 17/46080],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1/576],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1/13440],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 5], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 13/34560],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 1/5376],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 7/20736],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 19/6912],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 13/34560],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 17/13824],
[[[1, 5], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 7/46080],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 31/27648],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/25920],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 1/41472],
[[[1, 5], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 3/5120],
[[[1, 5], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 7/92160],
[[[1, 5], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 7/138240],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 13/23040],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 5/16128],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 29/82944],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 19/41472],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 1/6912],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 31/55296],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 37/92160],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1/4608],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 23/230400],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 37/1658880],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 433/4147200],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 1/4800],
[[[1, 6], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 11/120960],
[[[1, 6], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 1/6720],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 7/345600],
[[[1, 6], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 6], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1/69120],
[[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 6], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 1/34560],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/3780],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 1/4320],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/17280],
[[[1, 6], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 1/6048],
[[[1, 6], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 7/34560],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1/34560],
[[[1, 6], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 23/60480],
[[[1, 6], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 7/51840],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/12096],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 11/155520],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/10368],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/10368],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/5184],
[[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/6480],
[[[1, 6], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 11/116640],
[[[1, 6], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 1/23328],
[[[1, 6], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/3840],
[[[1, 6], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 11/40320],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 13/103680],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 7/57600],
[[[1, 6], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 6], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 17/23040],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1/1536],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 1/2016],
[[[1, 6], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 1/9216],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2048],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1/2304],
[[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1/4032],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 7/17280],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 1/13824],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2880],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 19/48384],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 1/6912],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1/2304],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 5/20736],
[[[1, 6], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 43/69120],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 7/6912],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 5/6912],
[[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1/2880],
[[[1, 6], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2880],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 7/13824],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/5184],
[[[1, 6], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/92160],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 1/4608],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 1/4608],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 3/20480],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 23/276480],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 1/20736],
[[[1, 6], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 29/92160],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 43/18432],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 29/92160],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 5/9216],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 1/2304],
[[[1, 6], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 23/276480],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 3/20480],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 1/20736],
[[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 3/40960],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 107/552960],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 1/41472],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 1/28800],
[[[1, 7], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/120960],
[[[1, 7], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 1/120960],
[[[1, 7], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 1/69120],
[[[1, 7], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/362880],
[[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/8640],
[[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 11/388800],
[[[1, 7], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/24192],
[[[1, 7], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1/311040],
[[[1, 7], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/12096],
[[[1, 7], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/77760],
[[[1, 7], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 13/311040],
[[[1, 7], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 1/155520],
[[[1, 7], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 1/2688],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 1/12800],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/19200],
[[[1, 7], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 7], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 1/138240],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 1/3840],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 1/32256],
[[[1, 7], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 1/69120],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 1/46080],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 1/4032],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 7/103680],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 13/69120],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 61/241920],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 13/311040],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1/41472],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1/69120],
[[[1, 7], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 47/691200],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 7/46080],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 1/6912],
[[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1/3240],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/4608],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/15552],
[[[1, 7], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/76800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 23/230400],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1/2880],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 5/16128],
[[[1, 7], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 37/92160],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 31/55296],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 1/4608],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 19/41472],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 29/82944],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 7], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 241/2764800],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 109/552960],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 241/2764800],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 1/27648],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 101/604800],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 19/1209600],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/172800],
[[[1, 8], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 1/30240],
[[[1, 8], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1/1451520],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 11/345600],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/345600],
[[[1, 8], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 1/12096],
[[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 1/13824],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 11/241920],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 1/311040],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/725760],
[[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1/207360],
[[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 1/103680],
[[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/129600],
[[[1, 8], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 23/388800],
[[[1, 8], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 11/622080],
[[[1, 8], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/806400],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 13/138240],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 1/11520],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 29/241920],
[[[1, 8], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 131/1382400],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 11/138240],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1/27648],
[[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 8], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 23/76800],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 41/276480],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 1/20736],
[[[1, 8], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 107/552960],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 3/40960],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 1/41472],
[[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 11/604800],
[[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 127/130636800],
[[[1, 9], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/483840],
[[[1, 9], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/52254720],
[[[1, 9], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/120960],
[[[1, 9], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 7/1036800],
[[[1, 9], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 1/26127360],
[[[1, 9], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/29030400],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 13/345600],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 1/34560],
[[[1, 9], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 7/1382400],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1/215040],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1/483840],
[[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/604800],
[[[1, 9], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 631/7257600],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 19/967680],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 1/311040],
[[[1, 9], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 433/4147200],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 37/1658880],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 53/9676800],
[[[1, 10], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/34836480],
[[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/17418240],
[[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/21772800],
[[[1, 10], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 79/10450944],
[[[1, 10], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 17/20901888],
[[[1, 10], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 101/3225600],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 13/3870720],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1451520],
[[[1, 11], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 11/43545600],
[[[1, 11], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 811/174182400],
[[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/4644864],
[[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/52254720],
[[[1, 12], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 127/522547200],
[[[1, 12], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 1/209018880],
[[[2, 2], [3, 1], [6, 1], [9, 1], [14, 1], [18, 1]], 1/504],
[[[2, 2], [3, 1], [6, 2], [9, 1], [10, 1], [18, 1]], 1/540],
[[[2, 4], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [14, 1]], 1/504],
[[[1, 1], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 1/288],
[[[1, 1], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1], [18, 1]], 1/504],
[[[1, 1], [2, 1], [3, 1], [6, 1], [9, 1], [14, 1], [18, 1]], 1/504],
[[[1, 1], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/648],
[[[1, 1], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 1/648],
[[[1, 1], [2, 1], [4, 1], [6, 1], [7, 1], [14, 1], [18, 1]], 1/504],
[[[1, 1], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 1/288],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/144],
[[[1, 1], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/720],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/1008],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 1/1080],
[[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/1200],
[[[1, 1], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/12960],
[[[1, 1], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 1], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/840],
[[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/480],
[[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 1], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 1], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/1008],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/576],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 2], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/2016],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/2880],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/576],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/864],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/432],
[[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/540],
[[[1, 2], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1008],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/576],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/1008],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/144],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/1008],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/144],
[[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/864],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/432],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/288],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/540],
[[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 2], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/2592],
[[[1, 2], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1120],
[[[1, 2], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 2], [2, 2], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/1728],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/672],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/1440],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/720],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/840],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/6912],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/840],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/480],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1200],
[[[1, 3], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/2016],
[[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/720],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2160],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/1008],
[[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1080],
[[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/144],
[[[1, 3], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1120],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1200],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/720],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1200],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/336],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/192],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/576],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/576],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1296],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/672],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/672],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/1920],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/960],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/192],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/960],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/840],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/840],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/576],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1296],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/720],
[[[1, 3], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5/4032],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/5760],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/11520],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/960],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/4608],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/3360],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2880],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/1728],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/672],
[[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/840],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1440],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/720],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4320],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6720],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/720],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/896],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2016],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/896],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/960],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/480],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/960],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/576],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/720],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/23040],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/3360],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/17280],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/8640],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/5040],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5/4032],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2016],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/11520],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/960],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/5760],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2160],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2560],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/320],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/6912],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/23040],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4608],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/17280],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/720],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/120],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/720],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/144],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/24],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/720],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/120],
[[[1, 1], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/720],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1440],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/160],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880]
]}