{[
[[[1, 23]], 1/222489728778240000],
[[[2, 23]], 1/222489728778240000],
[[[1, 1], [2, 22]], 41/74163242926080000],
[[[1, 2], [2, 21]], 101/3531582996480000],
[[[1, 3], [2, 20]], 60647/74163242926080000],
[[[1, 4], [2, 19]], 637081/44497945755648000],
[[[1, 5], [2, 18]], 477109/2966529717043200],
[[[1, 6], [2, 17]], 5368783/4540606709760000],
[[[1, 7], [2, 16]], 8644291/1513535569920000],
[[[1, 7], [3, 8]], 1/5038848],
[[[1, 7], [5, 4]], 1/40000],
[[[1, 8], [2, 15]], 578267/32105299968000],
[[[1, 9], [2, 14]], 38803859/1059474898944000],
[[[1, 9], [3, 7]], 49/80621568],
[[[1, 10], [2, 13]], 1544191/32105299968000],
[[[1, 11], [2, 12]], 164359/3567255552000],
[[[1, 11], [3, 6]], 2117/4514807808],
[[[1, 11], [5, 3]], 89/322560000],
[[[1, 11], [7, 2]], 1/8467200],
[[[1, 12], [2, 11]], 164359/3567255552000],
[[[1, 13], [2, 10]], 1544191/32105299968000],
[[[1, 13], [3, 5]], 379/5643509760],
[[[1, 13], [11, 1]], 1/5109350400],
[[[1, 14], [2, 9]], 38803859/1059474898944000],
[[[1, 15], [2, 8]], 578267/32105299968000],
[[[1, 15], [3, 4]], 36737/9932577177600],
[[[1, 15], [5, 2]], 7811/10729635840000],
[[[1, 16], [2, 7]], 8644291/1513535569920000],
[[[1, 17], [2, 6]], 5368783/4540606709760000],
[[[1, 17], [3, 3]], 6071/69528040243200],
[[[1, 17], [7, 1]], 107/38626689024000],
[[[1, 18], [2, 5]], 477109/2966529717043200],
[[[1, 19], [2, 4]], 637081/44497945755648000],
[[[1, 19], [3, 2]], 691/794606174208000],
[[[1, 19], [4, 2]], 1/529737449472000],
[[[1, 19], [5, 1]], 1/8174960640000],
[[[1, 20], [2, 3]], 60647/74163242926080000],
[[[1, 21], [2, 2]], 101/3531582996480000],
[[[1, 21], [3, 1]], 19/5562243219456000],
[[[1, 22], [2, 1]], 41/74163242926080000],
[[[2, 7], [6, 8]], 1/5038848],
[[[2, 7], [10, 4]], 1/40000],
[[[2, 9], [6, 7]], 49/80621568],
[[[2, 11], [6, 6]], 2117/4514807808],
[[[2, 11], [10, 3]], 89/322560000],
[[[2, 11], [14, 2]], 1/8467200],
[[[2, 13], [6, 5]], 379/5643509760],
[[[2, 13], [22, 1]], 1/5109350400],
[[[2, 15], [6, 4]], 36737/9932577177600],
[[[2, 15], [10, 2]], 7811/10729635840000],
[[[2, 17], [6, 3]], 6071/69528040243200],
[[[2, 17], [14, 1]], 107/38626689024000],
[[[2, 19], [4, 2]], 1/529737449472000],
[[[2, 19], [6, 2]], 691/794606174208000],
[[[2, 19], [10, 1]], 1/8174960640000],
[[[2, 21], [6, 1]], 19/5562243219456000],
[[[1, 1], [2, 6], [10, 4]], 3/40000],
[[[1, 1], [2, 8], [6, 7]], 13/6718464],
[[[1, 1], [2, 10], [6, 6]], 1861/537477120],
[[[1, 1], [2, 10], [10, 3]], 1787/322560000],
[[[1, 1], [2, 10], [14, 2]], 1/338688],
[[[1, 1], [2, 12], [6, 5]], 1553/1254113280],
[[[1, 1], [2, 12], [22, 1]], 19/1703116800],
[[[1, 1], [2, 14], [6, 4]], 35029/300987187200],
[[[1, 1], [2, 14], [10, 2]], 21887/766402560000],
[[[1, 1], [2, 16], [4, 3]], 1531/264868724736000],
[[[1, 1], [2, 16], [6, 3]], 9577/2317601341440],
[[[1, 1], [2, 16], [14, 1]], 809/4291854336000],
[[[1, 1], [2, 18], [4, 2]], 29/176579149824000],
[[[1, 1], [2, 18], [6, 2]], 9113/154506756096000],
[[[1, 1], [2, 18], [8, 1]], 1/44144787456000],
[[[1, 1], [2, 18], [10, 1]], 3763/386266890240000],
[[[1, 1], [2, 20], [4, 1]], 1/44947419955200],
[[[1, 1], [2, 20], [6, 1]], 17/52973744947200],
[[[1, 2], [2, 5], [10, 4]], 3/40000],
[[[1, 2], [2, 7], [6, 7]], 1/4478976],
[[[1, 2], [2, 9], [6, 6]], 2567/358318080],
[[[1, 2], [2, 9], [10, 3]], 10427/322560000],
[[[1, 2], [2, 9], [14, 2]], 1/40320],
[[[1, 2], [2, 11], [6, 5]], 101/14929920],
[[[1, 2], [2, 11], [22, 1]], 31/141926400],
[[[1, 2], [2, 13], [4, 4]], 89/52553318400],
[[[1, 2], [2, 13], [6, 4]], 4661/3583180800],
[[[1, 2], [2, 13], [10, 2]], 92387/218972160000],
[[[1, 2], [2, 15], [4, 3]], 769/2675441664000],
[[[1, 2], [2, 15], [6, 3]], 83161/1103619686400],
[[[1, 2], [2, 15], [14, 1]], 2993/613122048000],
[[[1, 2], [2, 17], [3, 2]], 1/49662885888000],
[[[1, 2], [2, 17], [4, 2]], 14719/412018016256000],
[[[1, 2], [2, 17], [5, 1]], 1/13795246080000],
[[[1, 2], [2, 17], [6, 2]], 164683/103004504064000],
[[[1, 2], [2, 17], [8, 1]], 83/44144787456000],
[[[1, 2], [2, 17], [10, 1]], 21551/70230343680000],
[[[1, 2], [2, 19], [3, 1]], 1/198651543552000],
[[[1, 2], [2, 19], [4, 1]], 317/164807206502400],
[[[1, 2], [2, 19], [6, 1]], 3811/309013512192000],
[[[1, 3], [2, 4], [10, 4]], 1/40000],
[[[1, 3], [2, 6], [4, 7]], 1/2359296],
[[[1, 3], [2, 6], [6, 7]], 1/6718464],
[[[1, 3], [2, 8], [6, 6]], 163/53747712],
[[[1, 3], [2, 8], [10, 3]], 3347/46080000],
[[[1, 3], [2, 8], [14, 2]], 23/282240],
[[[1, 3], [2, 10], [4, 5]], 79/594542592],
[[[1, 3], [2, 10], [6, 5]], 283/19906560],
[[[1, 3], [2, 10], [22, 1]], 163/85155840],
[[[1, 3], [2, 12], [4, 4]], 18377/367873228800],
[[[1, 3], [2, 12], [6, 4]], 95861/15049359360],
[[[1, 3], [2, 12], [10, 2]], 4343/1451520000],
[[[1, 3], [2, 14], [4, 3]], 9973/735746457600],
[[[1, 3], [2, 14], [6, 3]], 279359/413857382400],
[[[1, 3], [2, 14], [14, 1]], 164711/2575112601600],
[[[1, 3], [2, 16], [3, 2]], 1/613122048000],
[[[1, 3], [2, 16], [4, 2]], 188533/112368549888000],
[[[1, 3], [2, 16], [5, 1]], 1/170311680000],
[[[1, 3], [2, 16], [6, 2]], 55337/2452488192000],
[[[1, 3], [2, 16], [8, 1]], 8047/132434362368000],
[[[1, 3], [2, 16], [10, 1]], 647707/128755630080000],
[[[1, 3], [2, 18], [3, 1]], 29/66217181184000],
[[[1, 3], [2, 18], [4, 1]], 248371/3708162146304000],
[[[1, 3], [2, 18], [6, 1]], 236147/927040536576000],
[[[1, 3], [5, 2], [7, 2]], 1/2450],
[[[1, 4], [2, 3], [5, 4]], 1/40000],
[[[1, 4], [2, 5], [4, 7]], 1/2359296],
[[[1, 4], [2, 5], [6, 7]], 1/80621568],
[[[1, 4], [2, 7], [4, 6]], 91/13271040],
[[[1, 4], [2, 7], [5, 3]], 1/46080000],
[[[1, 4], [2, 7], [6, 6]], 925/644972544],
[[[1, 4], [2, 7], [10, 3]], 673/9216000],
[[[1, 4], [2, 7], [14, 2]], 11/112896],
[[[1, 4], [2, 9], [4, 5]], 1933/990904320],
[[[1, 4], [2, 9], [6, 5]], 3001/268738560],
[[[1, 4], [2, 9], [11, 1]], 1/48660480],
[[[1, 4], [2, 9], [22, 1]], 581/72990720],
[[[1, 4], [2, 11], [4, 4]], 24503/22295347200],
[[[1, 4], [2, 11], [6, 4]], 1323733/90296156160],
[[[1, 4], [2, 11], [10, 2]], 51049/4644864000],
[[[1, 4], [2, 13], [4, 3]], 132997/441447874560],
[[[1, 4], [2, 13], [6, 3]], 15750419/4966288588800],
[[[1, 4], [2, 13], [14, 1]], 18169/39016857600],
[[[1, 4], [2, 15], [3, 2]], 1/19707494400],
[[[1, 4], [2, 15], [4, 2]], 196969/5885971660800],
[[[1, 4], [2, 15], [5, 1]], 1/5474304000],
[[[1, 4], [2, 15], [6, 2]], 9568351/52973744947200],
[[[1, 4], [2, 15], [8, 1]], 1339/1337720832000],
[[[1, 4], [2, 15], [10, 1]], 2085229/44144787456000],
[[[1, 4], [2, 17], [3, 1]], 3007/198651543552000],
[[[1, 4], [2, 17], [4, 1]], 4583399/3708162146304000],
[[[1, 4], [2, 17], [6, 1]], 17358457/5562243219456000],
[[[1, 5], [2, 2], [5, 4]], 3/40000],
[[[1, 5], [2, 4], [3, 7]], 1/80621568],
[[[1, 5], [2, 4], [4, 7]], 1/2359296],
[[[1, 5], [2, 6], [3, 6]], 1/3224862720],
[[[1, 5], [2, 6], [4, 6]], 43/3538944],
[[[1, 5], [2, 6], [5, 3]], 151/46080000],
[[[1, 5], [2, 6], [6, 6]], 13/107495424],
[[[1, 5], [2, 6], [10, 3]], 283/9216000],
[[[1, 5], [2, 6], [14, 2]], 1/37632],
[[[1, 5], [2, 8], [4, 5]], 3449/141557760],
[[[1, 5], [2, 8], [6, 5]], 185/35831808],
[[[1, 5], [2, 8], [11, 1]], 1/1474560],
[[[1, 5], [2, 8], [22, 1]], 79/4866048],
[[[1, 5], [2, 10], [4, 4]], 463/41287680],
[[[1, 5], [2, 10], [5, 2]], 1/442368000],
[[[1, 5], [2, 10], [6, 4]], 53611/3344302080],
[[[1, 5], [2, 10], [10, 2]], 49723/2322432000],
[[[1, 5], [2, 12], [4, 3]], 825721/267544166400],
[[[1, 5], [2, 12], [6, 3]], 600949/75246796800],
[[[1, 5], [2, 12], [14, 1]], 75659/39016857600],
[[[1, 5], [2, 14], [3, 2]], 163/206928691200],
[[[1, 5], [2, 14], [4, 2]], 45131/130799370240],
[[[1, 5], [2, 14], [5, 1]], 163/57480192000],
[[[1, 5], [2, 14], [6, 2]], 265657/315319910400],
[[[1, 5], [2, 14], [8, 1]], 1937/210213273600],
[[[1, 5], [2, 14], [10, 1]], 484807/1839366144000],
[[[1, 5], [2, 16], [3, 1]], 18107/66217181184000],
[[[1, 5], [2, 16], [4, 1]], 10092463/756767784960000],
[[[1, 5], [2, 16], [6, 1]], 77167/3269984256000],
[[[1, 5], [3, 3], [7, 2]], 1/10584],
[[[1, 5], [3, 4], [11, 1]], 1/28512],
[[[1, 5], [3, 6], [7, 1]], 1/489888],
[[[1, 5], [3, 6], [9, 1]], 1/69984],
[[[1, 5], [3, 7], [4, 2]], 1/6718464],
[[[1, 5], [5, 2], [11, 1]], 1/4400],
[[[1, 5], [5, 3], [7, 1]], 3/14000],
[[[1, 6], [2, 1], [5, 4]], 3/40000],
[[[1, 6], [2, 3], [3, 7]], 1/6718464],
[[[1, 6], [2, 3], [4, 7]], 1/2359296],
[[[1, 6], [2, 5], [3, 6]], 13/107495424],
[[[1, 6], [2, 5], [4, 6]], 43/3538944],
[[[1, 6], [2, 5], [5, 3]], 283/9216000],
[[[1, 6], [2, 5], [6, 6]], 1/3224862720],
[[[1, 6], [2, 5], [7, 2]], 1/37632],
[[[1, 6], [2, 5], [10, 3]], 151/46080000],
[[[1, 6], [2, 7], [3, 5]], 19/537477120],
[[[1, 6], [2, 7], [4, 5]], 2225/28311552],
[[[1, 6], [2, 7], [6, 5]], 107/134369280],
[[[1, 6], [2, 7], [11, 1]], 23/4055040],
[[[1, 6], [2, 7], [22, 1]], 2869/182476800],
[[[1, 6], [2, 9], [3, 4]], 7/8599633920],
[[[1, 6], [2, 9], [4, 4]], 737/13271040],
[[[1, 6], [2, 9], [5, 2]], 19/221184000],
[[[1, 6], [2, 9], [6, 4]], 100631/10749542400],
[[[1, 6], [2, 9], [10, 2]], 514873/23224320000],
[[[1, 6], [2, 11], [4, 3]], 66631/4246732800],
[[[1, 6], [2, 11], [6, 3]], 4883597/451480780800],
[[[1, 6], [2, 11], [7, 1]], 1/247726080],
[[[1, 6], [2, 11], [14, 1]], 18389/3981312000],
[[[1, 6], [2, 13], [3, 2]], 331/50164531200],
[[[1, 6], [2, 13], [4, 2]], 6429833/3269984256000],
[[[1, 6], [2, 13], [5, 1]], 331/13934592000],
[[[1, 6], [2, 13], [6, 2]], 30468931/13243436236800],
[[[1, 6], [2, 13], [8, 1]], 215639/4414478745600],
[[[1, 6], [2, 13], [10, 1]], 48761617/55180984320000],
[[[1, 6], [2, 15], [3, 1]], 6277/2207239372800],
[[[1, 6], [2, 15], [4, 1]], 5715901/65399685120000],
[[[1, 6], [2, 15], [6, 1]], 7379941/66217181184000],
[[[1, 7], [2, 2], [3, 7]], 1/4478976],
[[[1, 7], [2, 4], [3, 6]], 925/644972544],
[[[1, 7], [2, 4], [4, 6]], 91/13271040],
[[[1, 7], [2, 4], [5, 3]], 673/9216000],
[[[1, 7], [2, 4], [7, 2]], 11/112896],
[[[1, 7], [2, 4], [10, 3]], 1/46080000],
[[[1, 7], [2, 6], [3, 5]], 107/134369280],
[[[1, 7], [2, 6], [4, 5]], 2225/28311552],
[[[1, 7], [2, 6], [6, 5]], 19/537477120],
[[[1, 7], [2, 6], [11, 1]], 2869/182476800],
[[[1, 7], [2, 6], [22, 1]], 23/4055040],
[[[1, 7], [2, 8], [3, 4]], 473/2866544640],
[[[1, 7], [2, 8], [4, 4]], 14221/117964800],
[[[1, 7], [2, 8], [5, 2]], 937/442368000],
[[[1, 7], [2, 8], [6, 4]], 5131/2149908480],
[[[1, 7], [2, 8], [10, 2]], 4663/414720000],
[[[1, 7], [2, 10], [3, 3]], 41/2866544640],
[[[1, 7], [2, 10], [4, 3]], 1061621/25480396800],
[[[1, 7], [2, 10], [6, 3]], 301279/37623398400],
[[[1, 7], [2, 10], [7, 1]], 101/743178240],
[[[1, 7], [2, 10], [14, 1]], 971/159252480],
[[[1, 7], [2, 12], [3, 2]], 5393/178362777600],
[[[1, 7], [2, 12], [4, 2]], 185642243/29429858304000],
[[[1, 7], [2, 12], [5, 1]], 5393/49545216000],
[[[1, 7], [2, 12], [6, 2]], 10996009/3009871872000],
[[[1, 7], [2, 12], [8, 1]], 40181/267544166400],
[[[1, 7], [2, 12], [10, 1]], 1480327/836075520000],
[[[1, 7], [2, 14], [3, 1]], 116441/6621718118400],
[[[1, 7], [2, 14], [4, 1]], 5900797/16817061888000],
[[[1, 7], [2, 14], [6, 1]], 4342379/13243436236800],
[[[1, 7], [3, 2], [5, 3]], 7/144000],
[[[1, 7], [3, 2], [7, 2]], 1/10080],
[[[1, 7], [3, 3], [11, 1]], 17/456192],
[[[1, 7], [3, 4], [5, 2]], 11/388800],
[[[1, 7], [3, 5], [7, 1]], 5/326592],
[[[1, 7], [3, 5], [9, 1]], 25/1119744],
[[[1, 7], [3, 6], [4, 2]], 25/53747712],
[[[1, 7], [3, 6], [5, 1]], 1/186624],
[[[1, 7], [4, 2], [5, 3]], 1/768000],
[[[1, 7], [5, 1], [7, 2]], 1/50400],
[[[1, 7], [7, 1], [11, 1]], 1/110880],
[[[1, 8], [2, 1], [3, 7]], 13/6718464],
[[[1, 8], [2, 3], [3, 6]], 163/53747712],
[[[1, 8], [2, 3], [5, 3]], 3347/46080000],
[[[1, 8], [2, 3], [7, 2]], 23/282240],
[[[1, 8], [2, 5], [3, 5]], 185/35831808],
[[[1, 8], [2, 5], [4, 5]], 3449/141557760],
[[[1, 8], [2, 5], [11, 1]], 79/4866048],
[[[1, 8], [2, 5], [22, 1]], 1/1474560],
[[[1, 8], [2, 7], [3, 4]], 5131/2149908480],
[[[1, 8], [2, 7], [4, 4]], 14221/117964800],
[[[1, 8], [2, 7], [5, 2]], 4663/414720000],
[[[1, 8], [2, 7], [6, 4]], 473/2866544640],
[[[1, 8], [2, 7], [10, 2]], 937/442368000],
[[[1, 8], [2, 9], [3, 3]], 1591/4299816960],
[[[1, 8], [2, 9], [4, 3]], 11131339/178362777600],
[[[1, 8], [2, 9], [6, 3]], 41333/14332723200],
[[[1, 8], [2, 9], [7, 1]], 4591/3715891200],
[[[1, 8], [2, 9], [14, 1]], 15349/3715891200],
[[[1, 8], [2, 11], [3, 2]], 581/6370099200],
[[[1, 8], [2, 11], [4, 2]], 743569/63700992000],
[[[1, 8], [2, 11], [5, 1]], 1553/5308416000],
[[[1, 8], [2, 11], [6, 2]], 1774217/535088332800],
[[[1, 8], [2, 11], [8, 1]], 8083/29727129600],
[[[1, 8], [2, 11], [10, 1]], 925843/445906944000],
[[[1, 8], [2, 13], [3, 1]], 103709/1605264998400],
[[[1, 8], [2, 13], [4, 1]], 43369067/50451185664000],
[[[1, 8], [2, 13], [6, 1]], 4765309/8026324992000],
[[[1, 9], [2, 2], [3, 6]], 2567/358318080],
[[[1, 9], [2, 2], [5, 3]], 10427/322560000],
[[[1, 9], [2, 2], [7, 2]], 1/40320],
[[[1, 9], [2, 4], [3, 5]], 3001/268738560],
[[[1, 9], [2, 4], [4, 5]], 1933/990904320],
[[[1, 9], [2, 4], [11, 1]], 581/72990720],
[[[1, 9], [2, 4], [22, 1]], 1/48660480],
[[[1, 9], [2, 6], [3, 4]], 100631/10749542400],
[[[1, 9], [2, 6], [4, 4]], 737/13271040],
[[[1, 9], [2, 6], [5, 2]], 514873/23224320000],
[[[1, 9], [2, 6], [6, 4]], 7/8599633920],
[[[1, 9], [2, 6], [10, 2]], 19/221184000],
[[[1, 9], [2, 8], [3, 3]], 41333/14332723200],
[[[1, 9], [2, 8], [4, 3]], 11131339/178362777600],
[[[1, 9], [2, 8], [6, 3]], 1591/4299816960],
[[[1, 9], [2, 8], [7, 1]], 15349/3715891200],
[[[1, 9], [2, 8], [14, 1]], 4591/3715891200],
[[[1, 9], [2, 10], [3, 2]], 589/1528823808],
[[[1, 9], [2, 10], [4, 2]], 5209/371589120],
[[[1, 9], [2, 10], [5, 1]], 6817/10616832000],
[[[1, 9], [2, 10], [6, 2]], 91519/57330892800],
[[[1, 9], [2, 10], [8, 1]], 343/1061683200],
[[[1, 9], [2, 10], [10, 1]], 52001/37158912000],
[[[1, 9], [2, 12], [3, 1]], 25703/178362777600],
[[[1, 9], [2, 12], [4, 1]], 13955749/10701766656000],
[[[1, 9], [2, 12], [6, 1]], 448039/687970713600],
[[[1, 9], [3, 1], [5, 3]], 17/1152000],
[[[1, 9], [3, 1], [7, 2]], 1/141120],
[[[1, 9], [3, 2], [11, 1]], 131/42577920],
[[[1, 9], [3, 3], [5, 2]], 263/12441600],
[[[1, 9], [3, 4], [7, 1]], 383/26127360],
[[[1, 9], [3, 4], [9, 1]], 2773/313528320],
[[[1, 9], [3, 5], [4, 2]], 17/44789760],
[[[1, 9], [3, 5], [5, 1]], 61/7464960],
[[[1, 9], [4, 2], [11, 1]], 1/12165120],
[[[1, 9], [5, 1], [11, 1]], 19/11827200],
[[[1, 9], [5, 2], [7, 1]], 569/112896000],
[[[1, 10], [2, 1], [3, 6]], 1861/537477120],
[[[1, 10], [2, 1], [5, 3]], 1787/322560000],
[[[1, 10], [2, 1], [7, 2]], 1/338688],
[[[1, 10], [2, 3], [3, 5]], 283/19906560],
[[[1, 10], [2, 3], [4, 5]], 79/594542592],
[[[1, 10], [2, 3], [11, 1]], 163/85155840],
[[[1, 10], [2, 5], [3, 4]], 53611/3344302080],
[[[1, 10], [2, 5], [4, 4]], 463/41287680],
[[[1, 10], [2, 5], [5, 2]], 49723/2322432000],
[[[1, 10], [2, 5], [10, 2]], 1/442368000],
[[[1, 10], [2, 7], [3, 3]], 301279/37623398400],
[[[1, 10], [2, 7], [4, 3]], 1061621/25480396800],
[[[1, 10], [2, 7], [6, 3]], 41/2866544640],
[[[1, 10], [2, 7], [7, 1]], 971/159252480],
[[[1, 10], [2, 7], [14, 1]], 101/743178240],
[[[1, 10], [2, 9], [3, 2]], 91519/57330892800],
[[[1, 10], [2, 9], [4, 2]], 5209/371589120],
[[[1, 10], [2, 9], [5, 1]], 52001/37158912000],
[[[1, 10], [2, 9], [6, 2]], 589/1528823808],
[[[1, 10], [2, 9], [8, 1]], 343/1061683200],
[[[1, 10], [2, 9], [10, 1]], 6817/10616832000],
[[[1, 10], [2, 11], [3, 1]], 3121/12740198400],
[[[1, 10], [2, 11], [4, 1]], 236839/169869312000],
[[[1, 10], [2, 11], [6, 1]], 118631/267544166400],
[[[1, 11], [2, 2], [3, 5]], 101/14929920],
[[[1, 11], [2, 2], [11, 1]], 31/141926400],
[[[1, 11], [2, 4], [3, 4]], 1323733/90296156160],
[[[1, 11], [2, 4], [4, 4]], 24503/22295347200],
[[[1, 11], [2, 4], [5, 2]], 51049/4644864000],
[[[1, 11], [2, 6], [3, 3]], 4883597/451480780800],
[[[1, 11], [2, 6], [4, 3]], 66631/4246732800],
[[[1, 11], [2, 6], [7, 1]], 18389/3981312000],
[[[1, 11], [2, 6], [14, 1]], 1/247726080],
[[[1, 11], [2, 8], [3, 2]], 1774217/535088332800],
[[[1, 11], [2, 8], [4, 2]], 743569/63700992000],
[[[1, 11], [2, 8], [5, 1]], 925843/445906944000],
[[[1, 11], [2, 8], [6, 2]], 581/6370099200],
[[[1, 11], [2, 8], [8, 1]], 8083/29727129600],
[[[1, 11], [2, 8], [10, 1]], 1553/5308416000],
[[[1, 11], [2, 10], [3, 1]], 118631/267544166400],
[[[1, 11], [2, 10], [4, 1]], 236839/169869312000],
[[[1, 11], [2, 10], [6, 1]], 3121/12740198400],
[[[1, 11], [3, 1], [11, 1]], 1/15966720],
[[[1, 11], [3, 2], [5, 2]], 3461/1161216000],
[[[1, 11], [3, 3], [7, 1]], 7487/4389396480],
[[[1, 11], [3, 3], [9, 1]], 409/627056640],
[[[1, 11], [3, 4], [4, 2]], 1061/15049359360],
[[[1, 11], [3, 4], [5, 1]], 5233/2090188800],
[[[1, 11], [4, 2], [5, 2]], 11/774144000],
[[[1, 12], [2, 1], [3, 5]], 1553/1254113280],
[[[1, 12], [2, 1], [11, 1]], 19/1703116800],
[[[1, 12], [2, 3], [3, 4]], 95861/15049359360],
[[[1, 12], [2, 3], [4, 4]], 18377/367873228800],
[[[1, 12], [2, 3], [5, 2]], 4343/1451520000],
[[[1, 12], [2, 5], [3, 3]], 600949/75246796800],
[[[1, 12], [2, 5], [4, 3]], 825721/267544166400],
[[[1, 12], [2, 5], [7, 1]], 75659/39016857600],
[[[1, 12], [2, 7], [3, 2]], 10996009/3009871872000],
[[[1, 12], [2, 7], [4, 2]], 185642243/29429858304000],
[[[1, 12], [2, 7], [5, 1]], 1480327/836075520000],
[[[1, 12], [2, 7], [6, 2]], 5393/178362777600],
[[[1, 12], [2, 7], [8, 1]], 40181/267544166400],
[[[1, 12], [2, 7], [10, 1]], 5393/49545216000],
[[[1, 12], [2, 9], [3, 1]], 448039/687970713600],
[[[1, 12], [2, 9], [4, 1]], 13955749/10701766656000],
[[[1, 12], [2, 9], [6, 1]], 25703/178362777600],
[[[1, 13], [2, 2], [3, 4]], 4661/3583180800],
[[[1, 13], [2, 2], [4, 4]], 89/52553318400],
[[[1, 13], [2, 2], [5, 2]], 92387/218972160000],
[[[1, 13], [2, 4], [3, 3]], 15750419/4966288588800],
[[[1, 13], [2, 4], [4, 3]], 132997/441447874560],
[[[1, 13], [2, 4], [7, 1]], 18169/39016857600],
[[[1, 13], [2, 6], [3, 2]], 30468931/13243436236800],
[[[1, 13], [2, 6], [4, 2]], 6429833/3269984256000],
[[[1, 13], [2, 6], [5, 1]], 48761617/55180984320000],
[[[1, 13], [2, 6], [6, 2]], 331/50164531200],
[[[1, 13], [2, 6], [8, 1]], 215639/4414478745600],
[[[1, 13], [2, 6], [10, 1]], 331/13934592000],
[[[1, 13], [2, 8], [3, 1]], 4765309/8026324992000],
[[[1, 13], [2, 8], [4, 1]], 43369067/50451185664000],
[[[1, 13], [2, 8], [6, 1]], 103709/1605264998400],
[[[1, 13], [3, 1], [5, 2]], 311/3483648000],
[[[1, 13], [3, 2], [7, 1]], 3127/45984153600],
[[[1, 13], [3, 2], [9, 1]], 23/1791590400],
[[[1, 13], [3, 3], [4, 2]], 379/82771476480],
[[[1, 13], [3, 3], [5, 1]], 829/4180377600],
[[[1, 13], [4, 2], [7, 1]], 1/928972800],
[[[1, 13], [5, 1], [7, 1]], 1921/76640256000],
[[[1, 14], [2, 1], [3, 4]], 35029/300987187200],
[[[1, 14], [2, 1], [5, 2]], 21887/766402560000],
[[[1, 14], [2, 3], [3, 3]], 279359/413857382400],
[[[1, 14], [2, 3], [4, 3]], 9973/735746457600],
[[[1, 14], [2, 3], [7, 1]], 164711/2575112601600],
[[[1, 14], [2, 5], [3, 2]], 265657/315319910400],
[[[1, 14], [2, 5], [4, 2]], 45131/130799370240],
[[[1, 14], [2, 5], [5, 1]], 484807/1839366144000],
[[[1, 14], [2, 5], [6, 2]], 163/206928691200],
[[[1, 14], [2, 5], [8, 1]], 1937/210213273600],
[[[1, 14], [2, 5], [10, 1]], 163/57480192000],
[[[1, 14], [2, 7], [3, 1]], 4342379/13243436236800],
[[[1, 14], [2, 7], [4, 1]], 5900797/16817061888000],
[[[1, 14], [2, 7], [6, 1]], 116441/6621718118400],
[[[1, 15], [2, 2], [3, 3]], 83161/1103619686400],
[[[1, 15], [2, 2], [4, 3]], 769/2675441664000],
[[[1, 15], [2, 2], [7, 1]], 2993/613122048000],
[[[1, 15], [2, 4], [3, 2]], 9568351/52973744947200],
[[[1, 15], [2, 4], [4, 2]], 196969/5885971660800],
[[[1, 15], [2, 4], [5, 1]], 2085229/44144787456000],
[[[1, 15], [2, 4], [6, 2]], 1/19707494400],
[[[1, 15], [2, 4], [8, 1]], 1339/1337720832000],
[[[1, 15], [2, 4], [10, 1]], 1/5474304000],
[[[1, 15], [2, 6], [3, 1]], 7379941/66217181184000],
[[[1, 15], [2, 6], [4, 1]], 5715901/65399685120000],
[[[1, 15], [2, 6], [6, 1]], 6277/2207239372800],
[[[1, 15], [3, 1], [7, 1]], 25/25751126016],
[[[1, 15], [3, 1], [9, 1]], 1/25082265600],
[[[1, 15], [3, 2], [4, 2]], 487/4414478745600],
[[[1, 15], [3, 2], [5, 1]], 17273/3218890752000],
[[[1, 15], [4, 2], [5, 1]], 19/525533184000],
[[[1, 16], [2, 1], [3, 3]], 9577/2317601341440],
[[[1, 16], [2, 1], [4, 3]], 1531/264868724736000],
[[[1, 16], [2, 1], [7, 1]], 809/4291854336000],
[[[1, 16], [2, 3], [3, 2]], 55337/2452488192000],
[[[1, 16], [2, 3], [4, 2]], 188533/112368549888000],
[[[1, 16], [2, 3], [5, 1]], 647707/128755630080000],
[[[1, 16], [2, 3], [6, 2]], 1/613122048000],
[[[1, 16], [2, 3], [8, 1]], 8047/132434362368000],
[[[1, 16], [2, 3], [10, 1]], 1/170311680000],
[[[1, 16], [2, 5], [3, 1]], 77167/3269984256000],
[[[1, 16], [2, 5], [4, 1]], 10092463/756767784960000],
[[[1, 16], [2, 5], [6, 1]], 18107/66217181184000],
[[[1, 17], [2, 2], [3, 2]], 164683/103004504064000],
[[[1, 17], [2, 2], [4, 2]], 14719/412018016256000],
[[[1, 17], [2, 2], [5, 1]], 21551/70230343680000],
[[[1, 17], [2, 2], [6, 2]], 1/49662885888000],
[[[1, 17], [2, 2], [8, 1]], 83/44144787456000],
[[[1, 17], [2, 2], [10, 1]], 1/13795246080000],
[[[1, 17], [2, 4], [3, 1]], 17358457/5562243219456000],
[[[1, 17], [2, 4], [4, 1]], 4583399/3708162146304000],
[[[1, 17], [2, 4], [6, 1]], 3007/198651543552000],
[[[1, 17], [3, 1], [4, 2]], 61/66217181184000],
[[[1, 17], [3, 1], [5, 1]], 659/12875563008000],
[[[1, 17], [4, 1], [8, 1]], 1/22072393728000],
[[[1, 18], [2, 1], [3, 2]], 9113/154506756096000],
[[[1, 18], [2, 1], [4, 2]], 29/176579149824000],
[[[1, 18], [2, 1], [5, 1]], 3763/386266890240000],
[[[1, 18], [2, 1], [8, 1]], 1/44144787456000],
[[[1, 18], [2, 3], [3, 1]], 236147/927040536576000],
[[[1, 18], [2, 3], [4, 1]], 248371/3708162146304000],
[[[1, 18], [2, 3], [6, 1]], 29/66217181184000],
[[[1, 19], [2, 2], [3, 1]], 3811/309013512192000],
[[[1, 19], [2, 2], [4, 1]], 317/164807206502400],
[[[1, 19], [2, 2], [6, 1]], 1/198651543552000],
[[[1, 20], [2, 1], [3, 1]], 17/52973744947200],
[[[1, 20], [2, 1], [4, 1]], 1/44947419955200],
[[[2, 3], [10, 2], [14, 2]], 1/2450],
[[[2, 5], [4, 2], [6, 7]], 1/6718464],
[[[2, 5], [6, 3], [14, 2]], 1/10584],
[[[2, 5], [6, 4], [22, 1]], 1/28512],
[[[2, 5], [6, 6], [14, 1]], 1/489888],
[[[2, 5], [6, 6], [18, 1]], 1/69984],
[[[2, 5], [10, 2], [22, 1]], 1/4400],
[[[2, 5], [10, 3], [14, 1]], 3/14000],
[[[2, 7], [4, 2], [6, 6]], 25/53747712],
[[[2, 7], [4, 2], [10, 3]], 1/768000],
[[[2, 7], [6, 2], [10, 3]], 7/144000],
[[[2, 7], [6, 2], [14, 2]], 1/10080],
[[[2, 7], [6, 3], [22, 1]], 17/456192],
[[[2, 7], [6, 4], [10, 2]], 11/388800],
[[[2, 7], [6, 5], [14, 1]], 5/326592],
[[[2, 7], [6, 5], [18, 1]], 25/1119744],
[[[2, 7], [6, 6], [10, 1]], 1/186624],
[[[2, 7], [10, 1], [14, 2]], 1/50400],
[[[2, 7], [14, 1], [22, 1]], 1/110880],
[[[2, 9], [4, 2], [6, 5]], 17/44789760],
[[[2, 9], [4, 2], [22, 1]], 1/12165120],
[[[2, 9], [6, 1], [10, 3]], 17/1152000],
[[[2, 9], [6, 1], [14, 2]], 1/141120],
[[[2, 9], [6, 2], [22, 1]], 131/42577920],
[[[2, 9], [6, 3], [10, 2]], 263/12441600],
[[[2, 9], [6, 4], [14, 1]], 383/26127360],
[[[2, 9], [6, 4], [18, 1]], 2773/313528320],
[[[2, 9], [6, 5], [10, 1]], 61/7464960],
[[[2, 9], [10, 1], [22, 1]], 19/11827200],
[[[2, 9], [10, 2], [14, 1]], 569/112896000],
[[[2, 11], [4, 2], [6, 4]], 1061/15049359360],
[[[2, 11], [4, 2], [10, 2]], 11/774144000],
[[[2, 11], [6, 1], [22, 1]], 1/15966720],
[[[2, 11], [6, 2], [10, 2]], 3461/1161216000],
[[[2, 11], [6, 3], [14, 1]], 7487/4389396480],
[[[2, 11], [6, 3], [18, 1]], 409/627056640],
[[[2, 11], [6, 4], [10, 1]], 5233/2090188800],
[[[2, 13], [4, 2], [6, 3]], 379/82771476480],
[[[2, 13], [4, 2], [14, 1]], 1/928972800],
[[[2, 13], [6, 1], [10, 2]], 311/3483648000],
[[[2, 13], [6, 2], [14, 1]], 3127/45984153600],
[[[2, 13], [6, 2], [18, 1]], 23/1791590400],
[[[2, 13], [6, 3], [10, 1]], 829/4180377600],
[[[2, 13], [10, 1], [14, 1]], 1921/76640256000],
[[[2, 15], [4, 2], [6, 2]], 487/4414478745600],
[[[2, 15], [4, 2], [10, 1]], 19/525533184000],
[[[2, 15], [6, 1], [14, 1]], 25/25751126016],
[[[2, 15], [6, 1], [18, 1]], 1/25082265600],
[[[2, 15], [6, 2], [10, 1]], 17273/3218890752000],
[[[2, 17], [4, 1], [8, 1]], 1/22072393728000],
[[[2, 17], [4, 2], [6, 1]], 61/66217181184000],
[[[2, 17], [6, 1], [10, 1]], 659/12875563008000],
[[[1, 1], [2, 4], [4, 3], [6, 6]], 1/26873856],
[[[1, 1], [2, 4], [4, 3], [10, 3]], 1/384000],
[[[1, 1], [2, 4], [6, 3], [14, 2]], 1/10584],
[[[1, 1], [2, 4], [10, 2], [22, 1]], 1/2200],
[[[1, 1], [2, 4], [10, 3], [14, 1]], 1/3500],
[[[1, 1], [2, 6], [3, 1], [6, 7]], 1/186624],
[[[1, 1], [2, 6], [4, 1], [6, 7]], 1/1119744],
[[[1, 1], [2, 6], [4, 2], [6, 6]], 13/8957952],
[[[1, 1], [2, 6], [4, 2], [10, 3]], 7/768000],
[[[1, 1], [2, 6], [4, 3], [6, 5]], 11/4478976],
[[[1, 1], [2, 6], [4, 3], [22, 1]], 23/3041280],
[[[1, 1], [2, 6], [5, 1], [10, 3]], 1/8000],
[[[1, 1], [2, 6], [6, 2], [10, 3]], 13/144000],
[[[1, 1], [2, 6], [6, 2], [14, 2]], 1/2352],
[[[1, 1], [2, 6], [6, 3], [22, 1]], 5/38016],
[[[1, 1], [2, 6], [6, 4], [10, 2]], 17/777600],
[[[1, 1], [2, 6], [6, 5], [14, 1]], 1/36288],
[[[1, 1], [2, 6], [6, 5], [18, 1]], 7/93312],
[[[1, 1], [2, 6], [6, 6], [8, 1]], 1/4478976],
[[[1, 1], [2, 6], [6, 6], [10, 1]], 1/1399680],
[[[1, 1], [2, 6], [8, 1], [10, 3]], 1/64000],
[[[1, 1], [2, 6], [10, 1], [14, 2]], 1/4704],
[[[1, 1], [2, 6], [14, 1], [22, 1]], 1/7392],
[[[1, 1], [2, 8], [3, 1], [6, 6]], 109/8957952],
[[[1, 1], [2, 8], [4, 1], [6, 6]], 211/35831808],
[[[1, 1], [2, 8], [4, 1], [10, 3]], 13/307200],
[[[1, 1], [2, 8], [4, 1], [14, 2]], 1/70560],
[[[1, 1], [2, 8], [4, 2], [6, 5]], 1/373248],
[[[1, 1], [2, 8], [4, 2], [22, 1]], 7/4055040],
[[[1, 1], [2, 8], [4, 3], [6, 4]], 583/179159040],
[[[1, 1], [2, 8], [4, 3], [10, 2]], 373/193536000],
[[[1, 1], [2, 8], [6, 1], [10, 3]], 1/9216],
[[[1, 1], [2, 8], [6, 1], [14, 2]], 1/10080],
[[[1, 1], [2, 8], [6, 2], [22, 1]], 47/1013760],
[[[1, 1], [2, 8], [6, 3], [10, 2]], 299/2488320],
[[[1, 1], [2, 8], [6, 4], [14, 1]], 137/1741824],
[[[1, 1], [2, 8], [6, 4], [18, 1]], 511/7464960],
[[[1, 1], [2, 8], [6, 5], [8, 1]], 1/1492992],
[[[1, 1], [2, 8], [6, 5], [10, 1]], 61/1866240],
[[[1, 1], [2, 8], [8, 1], [22, 1]], 1/1013760],
[[[1, 1], [2, 8], [10, 1], [22, 1]], 71/2534400],
[[[1, 1], [2, 8], [10, 2], [14, 1]], 583/8064000],
[[[1, 1], [2, 10], [3, 1], [6, 5]], 2491/358318080],
[[[1, 1], [2, 10], [4, 1], [6, 5]], 31/4976640],
[[[1, 1], [2, 10], [4, 1], [22, 1]], 1/2580480],
[[[1, 1], [2, 10], [4, 2], [6, 4]], 197/185794560],
[[[1, 1], [2, 10], [4, 2], [8, 2]], 1/8847360],
[[[1, 1], [2, 10], [4, 2], [10, 2]], 131/387072000],
[[[1, 1], [2, 10], [4, 3], [6, 3]], 721/1074954240],
[[[1, 1], [2, 10], [4, 3], [14, 1]], 61/464486400],
[[[1, 1], [2, 10], [5, 1], [10, 2]], 19/21504000],
[[[1, 1], [2, 10], [6, 1], [22, 1]], 13/7096320],
[[[1, 1], [2, 10], [6, 2], [10, 2]], 45859/1161216000],
[[[1, 1], [2, 10], [6, 3], [14, 1]], 13183/487710720],
[[[1, 1], [2, 10], [6, 3], [18, 1]], 841/69672960],
[[[1, 1], [2, 10], [6, 4], [8, 1]], 29/59719680],
[[[1, 1], [2, 10], [6, 4], [10, 1]], 3967/149299200],
[[[1, 1], [2, 10], [8, 1], [10, 2]], 11/64512000],
[[[1, 1], [2, 12], [3, 1], [6, 4]], 83/125411328],
[[[1, 1], [2, 12], [4, 1], [6, 4]], 5053/5016453120],
[[[1, 1], [2, 12], [4, 1], [10, 2]], 1/3440640],
[[[1, 1], [2, 12], [4, 2], [6, 3]], 739/6270566400],
[[[1, 1], [2, 12], [4, 2], [14, 1]], 31/928972800],
[[[1, 1], [2, 12], [4, 3], [6, 2]], 7177/157659955200],
[[[1, 1], [2, 12], [4, 3], [8, 1]], 1/212336640],
[[[1, 1], [2, 12], [4, 3], [10, 1]], 10709/919683072000],
[[[1, 1], [2, 12], [6, 1], [10, 2]], 793/348364800],
[[[1, 1], [2, 12], [6, 2], [14, 1]], 509/270950400],
[[[1, 1], [2, 12], [6, 2], [18, 1]], 1739/4180377600],
[[[1, 1], [2, 12], [6, 3], [8, 1]], 113/2508226560],
[[[1, 1], [2, 12], [6, 3], [10, 1]], 77/17915904],
[[[1, 1], [2, 12], [8, 1], [14, 1]], 1/77414400],
[[[1, 1], [2, 12], [10, 1], [14, 1]], 11777/16257024000],
[[[1, 1], [2, 14], [3, 1], [6, 3]], 1649/78829977600],
[[[1, 1], [2, 14], [4, 1], [6, 3]], 7981/137952460800],
[[[1, 1], [2, 14], [4, 1], [14, 1]], 2483/429185433600],
[[[1, 1], [2, 14], [4, 2], [6, 2]], 101/22992076800],
[[[1, 1], [2, 14], [4, 2], [8, 1]], 17/122624409600],
[[[1, 1], [2, 14], [4, 2], [10, 1]], 13/8515584000],
[[[1, 1], [2, 14], [4, 3], [6, 1]], 269/275904921600],
[[[1, 1], [2, 14], [5, 1], [10, 1]], 1/9289728000],
[[[1, 1], [2, 14], [6, 1], [14, 1]], 619/15328051200],
[[[1, 1], [2, 14], [6, 1], [18, 1]], 1/418037760],
[[[1, 1], [2, 14], [6, 2], [8, 1]], 13/10510663680],
[[[1, 1], [2, 14], [6, 2], [10, 1]], 88181/459841536000],
[[[1, 1], [2, 14], [8, 1], [10, 1]], 19/43794432000],
[[[1, 1], [2, 16], [3, 1], [6, 2]], 167/702303436800],
[[[1, 1], [2, 16], [3, 1], [8, 1]], 1/16554295296000],
[[[1, 1], [2, 16], [4, 1], [5, 1]], 1/13795246080000],
[[[1, 1], [2, 16], [4, 1], [6, 2]], 877/686696693760],
[[[1, 1], [2, 16], [4, 1], [8, 1]], 73/4904976384000],
[[[1, 1], [2, 16], [4, 1], [10, 1]], 47/156067430400],
[[[1, 1], [2, 16], [4, 1], [12, 1]], 1/8277147648000],
[[[1, 1], [2, 16], [4, 2], [6, 1]], 19/350355456000],
[[[1, 1], [2, 16], [6, 1], [8, 1]], 1/91968307200],
[[[1, 1], [2, 16], [6, 1], [10, 1]], 7043/2575112601600],
[[[1, 1], [2, 18], [3, 1], [4, 1]], 1/66217181184000],
[[[1, 1], [2, 18], [3, 1], [6, 1]], 383/618027024384000],
[[[1, 1], [2, 18], [4, 1], [6, 1]], 79/7725337804800],
[[[1, 2], [2, 3], [4, 3], [10, 3]], 1/384000],
[[[1, 2], [2, 3], [4, 4], [11, 1]], 1/67584],
[[[1, 2], [2, 3], [4, 4], [22, 1]], 1/67584],
[[[1, 2], [2, 3], [10, 2], [22, 1]], 1/4400],
[[[1, 2], [2, 3], [10, 3], [14, 1]], 1/14000],
[[[1, 2], [2, 5], [3, 1], [6, 7]], 1/2519424],
[[[1, 2], [2, 5], [3, 2], [6, 6]], 13/314928],
[[[1, 2], [2, 5], [3, 2], [10, 3]], 1/72000],
[[[1, 2], [2, 5], [3, 3], [6, 5]], 1/62208],
[[[1, 2], [2, 5], [3, 4], [6, 4]], 1/31104],
[[[1, 2], [2, 5], [4, 2], [6, 6]], 1/1990656],
[[[1, 2], [2, 5], [4, 2], [10, 3]], 11/256000],
[[[1, 2], [2, 5], [4, 2], [14, 2]], 1/3136],
[[[1, 2], [2, 5], [4, 3], [6, 5]], 1/373248],
[[[1, 2], [2, 5], [4, 3], [22, 1]], 1/18432],
[[[1, 2], [2, 5], [4, 4], [6, 4]], 43/11943936],
[[[1, 2], [2, 5], [4, 4], [10, 2]], 7/1843200],
[[[1, 2], [2, 5], [4, 6], [8, 1]], 1/196608],
[[[1, 2], [2, 5], [5, 1], [6, 6]], 1/1399680],
[[[1, 2], [2, 5], [5, 1], [10, 3]], 17/40000],
[[[1, 2], [2, 5], [6, 2], [10, 3]], 7/144000],
[[[1, 2], [2, 5], [6, 2], [14, 2]], 5/14112],
[[[1, 2], [2, 5], [6, 3], [22, 1]], 1/25344],
[[[1, 2], [2, 5], [6, 4], [10, 2]], 7/777600],
[[[1, 2], [2, 5], [6, 5], [18, 1]], 1/62208],
[[[1, 2], [2, 5], [6, 6], [8, 1]], 1/2239488],
[[[1, 2], [2, 5], [6, 6], [10, 1]], 1/2799360],
[[[1, 2], [2, 5], [8, 1], [10, 3]], 3/64000],
[[[1, 2], [2, 5], [10, 1], [14, 2]], 3/7840],
[[[1, 2], [2, 5], [14, 1], [22, 1]], 1/2464],
[[[1, 2], [2, 7], [3, 1], [6, 6]], 101/2519424],
[[[1, 2], [2, 7], [3, 1], [10, 3]], 1/288000],
[[[1, 2], [2, 7], [3, 2], [6, 5]], 1819/26873856],
[[[1, 2], [2, 7], [3, 2], [22, 1]], 1/1140480],
[[[1, 2], [2, 7], [3, 3], [6, 4]], 1/248832],
[[[1, 2], [2, 7], [3, 4], [6, 3]], 1/995328],
[[[1, 2], [2, 7], [4, 1], [6, 6]], 35/2985984],
[[[1, 2], [2, 7], [4, 1], [10, 3]], 13/61440],
[[[1, 2], [2, 7], [4, 1], [14, 2]], 1/5880],
[[[1, 2], [2, 7], [4, 2], [6, 5]], 73/2985984],
[[[1, 2], [2, 7], [4, 2], [11, 1]], 1/1351680],
[[[1, 2], [2, 7], [4, 2], [22, 1]], 21/450560],
[[[1, 2], [2, 7], [4, 3], [6, 4]], 61/3981312],
[[[1, 2], [2, 7], [4, 3], [8, 2]], 31/1474560],
[[[1, 2], [2, 7], [4, 3], [10, 2]], 29/1728000],
[[[1, 2], [2, 7], [4, 4], [6, 3]], 269/29859840],
[[[1, 2], [2, 7], [4, 4], [14, 1]], 7/2211840],
[[[1, 2], [2, 7], [5, 1], [6, 5]], 1/466560],
[[[1, 2], [2, 7], [5, 1], [22, 1]], 1/316800],
[[[1, 2], [2, 7], [6, 1], [10, 3]], 127/576000],
[[[1, 2], [2, 7], [6, 1], [14, 2]], 5/14112],
[[[1, 2], [2, 7], [6, 2], [22, 1]], 109/675840],
[[[1, 2], [2, 7], [6, 3], [10, 2]], 937/6220800],
[[[1, 2], [2, 7], [6, 4], [14, 1]], 13/124416],
[[[1, 2], [2, 7], [6, 4], [18, 1]], 767/4976640],
[[[1, 2], [2, 7], [6, 5], [8, 1]], 5/1492992],
[[[1, 2], [2, 7], [6, 5], [10, 1]], 61/3732480],
[[[1, 2], [2, 7], [8, 1], [22, 1]], 17/1013760],
[[[1, 2], [2, 7], [10, 1], [22, 1]], 61/460800],
[[[1, 2], [2, 7], [10, 2], [14, 1]], 617/2304000],
[[[1, 2], [2, 9], [3, 1], [6, 5]], 5561/107495424],
[[[1, 2], [2, 9], [3, 1], [22, 1]], 1/4561920],
[[[1, 2], [2, 9], [3, 2], [6, 4]], 37447/1504935936],
[[[1, 2], [2, 9], [3, 2], [10, 2]], 11/72576000],
[[[1, 2], [2, 9], [3, 3], [6, 3]], 1/39813120],
[[[1, 2], [2, 9], [4, 1], [6, 5]], 209/5971968],
[[[1, 2], [2, 9], [4, 1], [22, 1]], 83/9461760],
[[[1, 2], [2, 9], [4, 2], [6, 4]], 8453/238878720],
[[[1, 2], [2, 9], [4, 2], [8, 2]], 7/2949120],
[[[1, 2], [2, 9], [4, 2], [10, 2]], 299/10752000],
[[[1, 2], [2, 9], [4, 3], [6, 3]], 341/41803776],
[[[1, 2], [2, 9], [4, 3], [14, 1]], 221/92897280],
[[[1, 2], [2, 9], [4, 4], [6, 2]], 439/222953472],
[[[1, 2], [2, 9], [4, 4], [8, 1]], 19/26542080],
[[[1, 2], [2, 9], [4, 4], [10, 1]], 809/928972800],
[[[1, 2], [2, 9], [5, 1], [6, 4]], 29/18662400],
[[[1, 2], [2, 9], [5, 1], [10, 2]], 5431/322560000],
[[[1, 2], [2, 9], [6, 1], [22, 1]], 1/56320],
[[[1, 2], [2, 9], [6, 2], [10, 2]], 189431/1161216000],
[[[1, 2], [2, 9], [6, 3], [14, 1]], 8191/69672960],
[[[1, 2], [2, 9], [6, 3], [18, 1]], 227/3317760],
[[[1, 2], [2, 9], [6, 4], [8, 1]], 253/59719680],
[[[1, 2], [2, 9], [6, 4], [10, 1]], 23959/298598400],
[[[1, 2], [2, 9], [8, 1], [10, 2]], 109/32256000],
[[[1, 2], [2, 11], [3, 1], [6, 4]], 69749/5643509760],
[[[1, 2], [2, 11], [3, 1], [10, 2]], 11/290304000],
[[[1, 2], [2, 11], [3, 2], [6, 3]], 809/705438720],
[[[1, 2], [2, 11], [3, 2], [14, 1]], 1/87091200],
[[[1, 2], [2, 11], [4, 1], [6, 4]], 25709/1672151040],
[[[1, 2], [2, 11], [4, 1], [8, 2]], 1/17694720],
[[[1, 2], [2, 11], [4, 1], [10, 2]], 1/151200],
[[[1, 2], [2, 11], [4, 2], [6, 3]], 10817/1672151040],
[[[1, 2], [2, 11], [4, 2], [14, 1]], 1289/1083801600],
[[[1, 2], [2, 11], [4, 3], [6, 2]], 16241/16721510400],
[[[1, 2], [2, 11], [4, 3], [8, 1]], 83/495452160],
[[[1, 2], [2, 11], [4, 3], [10, 1]], 4199/13934592000],
[[[1, 2], [2, 11], [4, 4], [6, 1]], 1073/8360755200],
[[[1, 2], [2, 11], [5, 1], [6, 3]], 113/783820800],
[[[1, 2], [2, 11], [5, 1], [14, 1]], 1/24192000],
[[[1, 2], [2, 11], [6, 1], [10, 2]], 34471/1741824000],
[[[1, 2], [2, 11], [6, 2], [14, 1]], 14723/812851200],
[[[1, 2], [2, 11], [6, 2], [18, 1]], 1681/348364800],
[[[1, 2], [2, 11], [6, 3], [8, 1]], 1139/1254113280],
[[[1, 2], [2, 11], [6, 3], [10, 1]], 95509/3135283200],
[[[1, 2], [2, 11], [8, 1], [14, 1]], 1/2867200],
[[[1, 2], [2, 11], [10, 1], [14, 1]], 10379/1354752000],
[[[1, 2], [2, 13], [3, 1], [6, 3]], 134353/198651543552],
[[[1, 2], [2, 13], [3, 1], [14, 1]], 1/348364800],
[[[1, 2], [2, 13], [3, 2], [6, 2]], 48337/3310859059200],
[[[1, 2], [2, 13], [3, 2], [10, 1]], 19/49268736000],
[[[1, 2], [2, 13], [4, 1], [6, 3]], 103/66355200],
[[[1, 2], [2, 13], [4, 1], [14, 1]], 84851/429185433600],
[[[1, 2], [2, 13], [4, 2], [5, 1]], 17/76640256000],
[[[1, 2], [2, 13], [4, 2], [6, 2]], 39887/105106636800],
[[[1, 2], [2, 13], [4, 2], [8, 1]], 397/14014218240],
[[[1, 2], [2, 13], [4, 2], [10, 1]], 1093/9732096000],
[[[1, 2], [2, 13], [4, 2], [12, 1]], 17/45984153600],
[[[1, 2], [2, 13], [4, 3], [6, 1]], 2029/61312204800],
[[[1, 2], [2, 13], [5, 1], [6, 2]], 13/3284582400],
[[[1, 2], [2, 13], [5, 1], [10, 1]], 5849/766402560000],
[[[1, 2], [2, 13], [6, 1], [14, 1]], 12613/19508428800],
[[[1, 2], [2, 13], [6, 1], [18, 1]], 143/2786918400],
[[[1, 2], [2, 13], [6, 2], [8, 1]], 3973/91968307200],
[[[1, 2], [2, 13], [6, 2], [10, 1]], 41233/16422912000],
[[[1, 2], [2, 13], [8, 1], [10, 1]], 1271/76640256000],
[[[1, 2], [2, 15], [3, 1], [4, 2]], 17/367873228800],
[[[1, 2], [2, 15], [3, 1], [6, 2]], 67337/5794003353600],
[[[1, 2], [2, 15], [3, 1], [8, 1]], 1/204374016000],
[[[1, 2], [2, 15], [3, 1], [10, 1]], 19/197074944000],
[[[1, 2], [2, 15], [3, 2], [6, 1]], 1/103464345600],
[[[1, 2], [2, 15], [4, 1], [5, 1]], 1/170311680000],
[[[1, 2], [2, 15], [4, 1], [6, 2]], 3529/66886041600],
[[[1, 2], [2, 15], [4, 1], [8, 1]], 97/108999475200],
[[[1, 2], [2, 15], [4, 1], [10, 1]], 1073/78033715200],
[[[1, 2], [2, 15], [4, 1], [12, 1]], 1/102187008000],
[[[1, 2], [2, 15], [4, 2], [6, 1]], 2617/367873228800],
[[[1, 2], [2, 15], [5, 1], [6, 1]], 1/28740096000],
[[[1, 2], [2, 15], [6, 1], [8, 1]], 109/183936614400],
[[[1, 2], [2, 15], [6, 1], [10, 1]], 104609/1839366144000],
[[[1, 2], [2, 17], [3, 1], [4, 1]], 83/66217181184000],
[[[1, 2], [2, 17], [3, 1], [6, 1]], 6091/126414618624000],
[[[1, 2], [2, 17], [4, 1], [6, 1]], 15871/25751126016000],
[[[1, 3], [2, 2], [4, 3], [5, 3]], 1/384000],
[[[1, 3], [2, 2], [4, 4], [11, 1]], 1/67584],
[[[1, 3], [2, 2], [4, 4], [22, 1]], 1/67584],
[[[1, 3], [2, 2], [5, 2], [11, 1]], 1/4400],
[[[1, 3], [2, 2], [5, 3], [7, 1]], 1/14000],
[[[1, 3], [2, 4], [3, 2], [4, 6]], 1/5308416],
[[[1, 3], [2, 4], [3, 2], [6, 6]], 7/839808],
[[[1, 3], [2, 4], [3, 2], [10, 3]], 1/72000],
[[[1, 3], [2, 4], [3, 3], [6, 5]], 49/419904],
[[[1, 3], [2, 4], [3, 3], [11, 1]], 1/456192],
[[[1, 3], [2, 4], [3, 4], [6, 4]], 7/62208],
[[[1, 3], [2, 4], [3, 5], [6, 3]], 1/31104],
[[[1, 3], [2, 4], [3, 5], [9, 1]], 1/1119744],
[[[1, 3], [2, 4], [4, 2], [10, 3]], 9/256000],
[[[1, 3], [2, 4], [4, 2], [14, 2]], 1/3136],
[[[1, 3], [2, 4], [4, 3], [11, 1]], 41/202752],
[[[1, 3], [2, 4], [4, 3], [22, 1]], 17/67584],
[[[1, 3], [2, 4], [4, 4], [5, 2]], 1/614400],
[[[1, 3], [2, 4], [4, 4], [6, 4]], 7/11943936],
[[[1, 3], [2, 4], [4, 4], [8, 2]], 1/8192],
[[[1, 3], [2, 4], [4, 4], [10, 2]], 1/102400],
[[[1, 3], [2, 4], [4, 5], [6, 3]], 1/663552],
[[[1, 3], [2, 4], [4, 5], [7, 1]], 1/172032],
[[[1, 3], [2, 4], [4, 5], [14, 1]], 1/172032],
[[[1, 3], [2, 4], [4, 6], [5, 1]], 1/1474560],
[[[1, 3], [2, 4], [4, 6], [8, 1]], 1/196608],
[[[1, 3], [2, 4], [5, 1], [10, 3]], 17/40000],
[[[1, 3], [2, 4], [5, 2], [10, 2]], 1/2000],
[[[1, 3], [2, 4], [5, 3], [8, 1]], 1/192000],
[[[1, 3], [2, 4], [5, 3], [10, 1]], 1/8000],
[[[1, 3], [2, 4], [6, 2], [10, 3]], 1/144000],
[[[1, 3], [2, 4], [6, 3], [22, 1]], 1/38016],
[[[1, 3], [2, 4], [6, 5], [18, 1]], 1/93312],
[[[1, 3], [2, 4], [6, 6], [8, 1]], 1/13436928],
[[[1, 3], [2, 4], [8, 1], [10, 3]], 7/192000],
[[[1, 3], [2, 4], [10, 1], [14, 2]], 1/23520],
[[[1, 3], [2, 4], [14, 1], [22, 1]], 1/7392],
[[[1, 3], [2, 6], [3, 1], [6, 6]], 115/13436928],
[[[1, 3], [2, 6], [3, 1], [10, 3]], 7/288000],
[[[1, 3], [2, 6], [3, 2], [6, 5]], 193/839808],
[[[1, 3], [2, 6], [3, 2], [11, 1]], 1/18247680],
[[[1, 3], [2, 6], [3, 2], [22, 1]], 1/76032],
[[[1, 3], [2, 6], [3, 3], [6, 4]], 3491/26873856],
[[[1, 3], [2, 6], [3, 4], [6, 3]], 1/62208],
[[[1, 3], [2, 6], [3, 4], [9, 1]], 1/44789760],
[[[1, 3], [2, 6], [3, 5], [6, 2]], 1/995328],
[[[1, 3], [2, 6], [4, 1], [5, 3]], 1/7680000],
[[[1, 3], [2, 6], [4, 1], [6, 6]], 19/53747712],
[[[1, 3], [2, 6], [4, 1], [10, 3]], 233/768000],
[[[1, 3], [2, 6], [4, 1], [14, 2]], 1/2352],
[[[1, 3], [2, 6], [4, 2], [6, 5]], 85/4478976],
[[[1, 3], [2, 6], [4, 2], [11, 1]], 7/450560],
[[[1, 3], [2, 6], [4, 2], [22, 1]], 23/73728],
[[[1, 3], [2, 6], [4, 3], [6, 4]], 487/11943936],
[[[1, 3], [2, 6], [4, 3], [8, 2]], 5/32768],
[[[1, 3], [2, 6], [4, 3], [10, 2]], 83/921600],
[[[1, 3], [2, 6], [4, 4], [6, 3]], 77/2985984],
[[[1, 3], [2, 6], [4, 4], [14, 1]], 121/5160960],
[[[1, 3], [2, 6], [4, 5], [6, 2]], 17/1769472],
[[[1, 3], [2, 6], [4, 5], [8, 1]], 167/2211840],
[[[1, 3], [2, 6], [4, 5], [10, 1]], 1/98304],
[[[1, 3], [2, 6], [4, 5], [12, 1]], 1/73728],
[[[1, 3], [2, 6], [5, 1], [6, 5]], 1/155520],
[[[1, 3], [2, 6], [5, 1], [11, 1]], 1/5068800],
[[[1, 3], [2, 6], [5, 1], [22, 1]], 1/21120],
[[[1, 3], [2, 6], [5, 2], [7, 1]], 1/16128000],
[[[1, 3], [2, 6], [6, 1], [10, 3]], 103/576000],
[[[1, 3], [2, 6], [6, 1], [14, 2]], 5/14112],
[[[1, 3], [2, 6], [6, 2], [22, 1]], 17/101376],
[[[1, 3], [2, 6], [6, 3], [10, 2]], 151/2073600],
[[[1, 3], [2, 6], [6, 4], [14, 1]], 59/2612736],
[[[1, 3], [2, 6], [6, 4], [18, 1]], 73/746496],
[[[1, 3], [2, 6], [6, 5], [8, 1]], 19/4478976],
[[[1, 3], [2, 6], [6, 5], [10, 1]], 13/1866240],
[[[1, 3], [2, 6], [8, 1], [11, 1]], 1/202752],
[[[1, 3], [2, 6], [8, 1], [22, 1]], 113/1520640],
[[[1, 3], [2, 6], [10, 1], [22, 1]], 19/84480],
[[[1, 3], [2, 6], [10, 2], [14, 1]], 83/268800],
[[[1, 3], [2, 8], [3, 1], [6, 5]], 39667/358318080],
[[[1, 3], [2, 8], [3, 1], [22, 1]], 7/1520640],
[[[1, 3], [2, 8], [3, 2], [4, 4]], 1/106168320],
[[[1, 3], [2, 8], [3, 2], [6, 4]], 100309/537477120],
[[[1, 3], [2, 8], [3, 2], [10, 2]], 7/2592000],
[[[1, 3], [2, 8], [3, 3], [6, 3]], 17579/2508226560],
[[[1, 3], [2, 8], [3, 4], [6, 2]], 1/39813120],
[[[1, 3], [2, 8], [4, 1], [6, 5]], 223/4478976],
[[[1, 3], [2, 8], [4, 1], [11, 1]], 1/4055040],
[[[1, 3], [2, 8], [4, 1], [22, 1]], 155/2433024],
[[[1, 3], [2, 8], [4, 2], [5, 2]], 1/12288000],
[[[1, 3], [2, 8], [4, 2], [6, 4]], 18875/143327232],
[[[1, 3], [2, 8], [4, 2], [8, 2]], 41/1474560],
[[[1, 3], [2, 8], [4, 2], [10, 2]], 3641/18432000],
[[[1, 3], [2, 8], [4, 3], [6, 3]], 5737/59719680],
[[[1, 3], [2, 8], [4, 3], [7, 1]], 1/3440640],
[[[1, 3], [2, 8], [4, 3], [14, 1]], 1303/30965760],
[[[1, 3], [2, 8], [4, 4], [5, 1]], 1/29491200],
[[[1, 3], [2, 8], [4, 4], [6, 2]], 379/19906560],
[[[1, 3], [2, 8], [4, 4], [8, 1]], 89/5898240],
[[[1, 3], [2, 8], [4, 4], [10, 1]], 359/38707200],
[[[1, 3], [2, 8], [4, 5], [6, 1]], 11/2949120],
[[[1, 3], [2, 8], [5, 1], [6, 4]], 13/1244160],
[[[1, 3], [2, 8], [5, 1], [10, 2]], 4513/46080000],
[[[1, 3], [2, 8], [5, 2], [10, 1]], 17/9216000],
[[[1, 3], [2, 8], [6, 1], [22, 1]], 67/1013760],
[[[1, 3], [2, 8], [6, 2], [10, 2]], 14113/55296000],
[[[1, 3], [2, 8], [6, 3], [14, 1]], 38321/209018880],
[[[1, 3], [2, 8], [6, 3], [18, 1]], 1589/9953280],
[[[1, 3], [2, 8], [6, 4], [8, 1]], 1117/89579520],
[[[1, 3], [2, 8], [6, 4], [10, 1]], 371/4976640],
[[[1, 3], [2, 8], [8, 1], [10, 2]], 3707/193536000],
[[[1, 3], [2, 10], [3, 1], [6, 4]], 7187/104509440],
[[[1, 3], [2, 10], [3, 1], [10, 2]], 131/145152000],
[[[1, 3], [2, 10], [3, 2], [6, 3]], 84299/3762339840],
[[[1, 3], [2, 10], [3, 2], [14, 1]], 1/3483648],
[[[1, 3], [2, 10], [3, 3], [6, 2]], 169/940584960],
[[[1, 3], [2, 10], [4, 1], [6, 4]], 47783/716636160],
[[[1, 3], [2, 10], [4, 1], [8, 2]], 23/17694720],
[[[1, 3], [2, 10], [4, 1], [10, 2]], 3119/64512000],
[[[1, 3], [2, 10], [4, 2], [6, 3]], 180149/2508226560],
[[[1, 3], [2, 10], [4, 2], [14, 1]], 793/43352064],
[[[1, 3], [2, 10], [4, 3], [5, 1]], 1/15482880],
[[[1, 3], [2, 10], [4, 3], [6, 2]], 10993/557383680],
[[[1, 3], [2, 10], [4, 3], [8, 1]], 2263/495452160],
[[[1, 3], [2, 10], [4, 3], [10, 1]], 4121/464486400],
[[[1, 3], [2, 10], [4, 3], [12, 1]], 1/9289728],
[[[1, 3], [2, 10], [4, 4], [6, 1]], 373/167215104],
[[[1, 3], [2, 10], [5, 1], [6, 3]], 19/7257600],
[[[1, 3], [2, 10], [5, 1], [14, 1]], 1/967680],
[[[1, 3], [2, 10], [6, 1], [10, 2]], 14551/193536000],
[[[1, 3], [2, 10], [6, 2], [14, 1]], 5141/69672960],
[[[1, 3], [2, 10], [6, 2], [18, 1]], 1049/41803776],
[[[1, 3], [2, 10], [6, 3], [8, 1]], 6257/1074954240],
[[[1, 3], [2, 10], [6, 3], [10, 1]], 93367/1045094400],
[[[1, 3], [2, 10], [8, 1], [14, 1]], 781/232243200],
[[[1, 3], [2, 10], [10, 1], [14, 1]], 3359/90316800],
[[[1, 3], [2, 12], [3, 1], [4, 3]], 1/74317824],
[[[1, 3], [2, 12], [3, 1], [6, 3]], 29221/3762339840],
[[[1, 3], [2, 12], [3, 1], [14, 1]], 31/348364800],
[[[1, 3], [2, 12], [3, 2], [6, 2]], 1634033/3310859059200],
[[[1, 3], [2, 12], [3, 2], [10, 1]], 73/5225472000],
[[[1, 3], [2, 12], [3, 3], [6, 1]], 37/16554295296],
[[[1, 3], [2, 12], [4, 1], [6, 3]], 136459/9405849600],
[[[1, 3], [2, 12], [4, 1], [14, 1]], 1403/541900800],
[[[1, 3], [2, 12], [4, 2], [5, 1]], 743/76640256000],
[[[1, 3], [2, 12], [4, 2], [6, 2]], 47311/6270566400],
[[[1, 3], [2, 12], [4, 2], [8, 1]], 11251/14863564800],
[[[1, 3], [2, 12], [4, 2], [10, 1]], 979/387072000],
[[[1, 3], [2, 12], [4, 2], [12, 1]], 743/45984153600],
[[[1, 3], [2, 12], [4, 3], [6, 1]], 1319/1194393600],
[[[1, 3], [2, 12], [5, 1], [6, 2]], 227/1741824000],
[[[1, 3], [2, 12], [5, 1], [10, 1]], 8201/46448640000],
[[[1, 3], [2, 12], [6, 1], [14, 1]], 461/91445760],
[[[1, 3], [2, 12], [6, 1], [18, 1]], 547/1045094400],
[[[1, 3], [2, 12], [6, 2], [8, 1]], 149183/275904921600],
[[[1, 3], [2, 12], [6, 2], [10, 1]], 158983/10450944000],
[[[1, 3], [2, 12], [8, 1], [10, 1]], 54409/229920768000],
[[[1, 3], [2, 14], [3, 1], [4, 2]], 37/17517772800],
[[[1, 3], [2, 14], [3, 1], [6, 2]], 242743/1103619686400],
[[[1, 3], [2, 14], [3, 1], [8, 1]], 1/6569164800],
[[[1, 3], [2, 14], [3, 1], [10, 1]], 13/3193344000],
[[[1, 3], [2, 14], [3, 2], [4, 1]], 17/275904921600],
[[[1, 3], [2, 14], [3, 2], [6, 1]], 353/331085905920],
[[[1, 3], [2, 14], [4, 1], [5, 1]], 31/76640256000],
[[[1, 3], [2, 14], [4, 1], [6, 2]], 3656201/4414478745600],
[[[1, 3], [2, 14], [4, 1], [8, 1]], 62753/2942985830400],
[[[1, 3], [2, 14], [4, 1], [10, 1]], 81089/334430208000],
[[[1, 3], [2, 14], [4, 1], [12, 1]], 1/3284582400],
[[[1, 3], [2, 14], [4, 2], [6, 1]], 123637/551809843200],
[[[1, 3], [2, 14], [5, 1], [6, 1]], 1/547430400],
[[[1, 3], [2, 14], [6, 1], [8, 1]], 677/55180984320],
[[[1, 3], [2, 14], [6, 1], [10, 1]], 40423/68124672000],
[[[1, 3], [2, 16], [3, 1], [4, 1]], 529/9459597312000],
[[[1, 3], [2, 16], [3, 1], [6, 1]], 30001/20600900812800],
[[[1, 3], [2, 16], [4, 1], [6, 1]], 1134943/77253378048000],
[[[1, 3], [3, 2], [5, 1], [7, 2]], 1/8820],
[[[1, 3], [3, 2], [7, 1], [11, 1]], 1/2772],
[[[1, 3], [3, 3], [4, 2], [11, 1]], 1/38016],
[[[1, 3], [3, 4], [7, 1], [9, 1]], 1/6804],
[[[1, 3], [3, 5], [4, 2], [9, 1]], 1/93312],
[[[1, 3], [5, 1], [7, 1], [11, 1]], 1/770],
[[[1, 4], [2, 1], [3, 3], [7, 2]], 1/10584],
[[[1, 4], [2, 1], [3, 6], [4, 3]], 1/26873856],
[[[1, 4], [2, 1], [4, 3], [5, 3]], 1/384000],
[[[1, 4], [2, 1], [5, 2], [11, 1]], 1/2200],
[[[1, 4], [2, 1], [5, 3], [7, 1]], 1/3500],
[[[1, 4], [2, 3], [3, 2], [5, 3]], 1/144000],
[[[1, 4], [2, 3], [3, 3], [4, 5]], 1/663552],
[[[1, 4], [2, 3], [3, 3], [6, 5]], 1/31104],
[[[1, 4], [2, 3], [3, 3], [11, 1]], 1/38016],
[[[1, 4], [2, 3], [3, 4], [4, 4]], 7/11943936],
[[[1, 4], [2, 3], [3, 4], [6, 4]], 7/62208],
[[[1, 4], [2, 3], [3, 5], [6, 3]], 49/419904],
[[[1, 4], [2, 3], [3, 5], [9, 1]], 1/93312],
[[[1, 4], [2, 3], [3, 6], [6, 2]], 7/839808],
[[[1, 4], [2, 3], [3, 6], [8, 1]], 1/13436928],
[[[1, 4], [2, 3], [4, 2], [5, 3]], 9/256000],
[[[1, 4], [2, 3], [4, 2], [7, 2]], 1/3136],
[[[1, 4], [2, 3], [4, 3], [11, 1]], 17/67584],
[[[1, 4], [2, 3], [4, 3], [22, 1]], 41/202752],
[[[1, 4], [2, 3], [4, 4], [5, 2]], 1/102400],
[[[1, 4], [2, 3], [4, 4], [8, 2]], 1/8192],
[[[1, 4], [2, 3], [4, 4], [10, 2]], 1/614400],
[[[1, 4], [2, 3], [4, 5], [7, 1]], 1/172032],
[[[1, 4], [2, 3], [4, 5], [14, 1]], 1/172032],
[[[1, 4], [2, 3], [4, 6], [6, 2]], 1/5308416],
[[[1, 4], [2, 3], [4, 6], [8, 1]], 1/196608],
[[[1, 4], [2, 3], [4, 6], [10, 1]], 1/1474560],
[[[1, 4], [2, 3], [5, 1], [7, 2]], 1/23520],
[[[1, 4], [2, 3], [5, 1], [10, 3]], 1/8000],
[[[1, 4], [2, 3], [5, 2], [10, 2]], 1/2000],
[[[1, 4], [2, 3], [5, 3], [6, 2]], 1/72000],
[[[1, 4], [2, 3], [5, 3], [8, 1]], 7/192000],
[[[1, 4], [2, 3], [5, 3], [10, 1]], 17/40000],
[[[1, 4], [2, 3], [6, 3], [22, 1]], 1/456192],
[[[1, 4], [2, 3], [6, 5], [18, 1]], 1/1119744],
[[[1, 4], [2, 3], [7, 1], [11, 1]], 1/7392],
[[[1, 4], [2, 3], [8, 1], [10, 3]], 1/192000],
[[[1, 4], [2, 5], [3, 1], [4, 6]], 7/1769472],
[[[1, 4], [2, 5], [3, 1], [5, 3]], 1/1152000],
[[[1, 4], [2, 5], [3, 1], [6, 6]], 1/314928],
[[[1, 4], [2, 5], [3, 1], [10, 3]], 7/288000],
[[[1, 4], [2, 5], [3, 2], [4, 5]], 7/1769472],
[[[1, 4], [2, 5], [3, 2], [6, 5]], 37/497664],
[[[1, 4], [2, 5], [3, 2], [11, 1]], 5/608256],
[[[1, 4], [2, 5], [3, 2], [22, 1]], 1/25344],
[[[1, 4], [2, 5], [3, 3], [5, 2]], 1/4147200],
[[[1, 4], [2, 5], [3, 3], [6, 4]], 929/2239488],
[[[1, 4], [2, 5], [3, 4], [6, 3]], 77/497664],
[[[1, 4], [2, 5], [3, 4], [7, 1]], 1/1741824],
[[[1, 4], [2, 5], [3, 4], [9, 1]], 7/1492992],
[[[1, 4], [2, 5], [3, 5], [6, 2]], 11/839808],
[[[1, 4], [2, 5], [3, 6], [4, 1]], 1/537477120],
[[[1, 4], [2, 5], [3, 6], [6, 1]], 7/26873856],
[[[1, 4], [2, 5], [4, 1], [5, 3]], 47/2560000],
[[[1, 4], [2, 5], [4, 1], [6, 6]], 1/26873856],
[[[1, 4], [2, 5], [4, 1], [10, 3]], 39/256000],
[[[1, 4], [2, 5], [4, 1], [14, 2]], 1/4704],
[[[1, 4], [2, 5], [4, 2], [11, 1]], 17/90112],
[[[1, 4], [2, 5], [4, 2], [22, 1]], 127/270336],
[[[1, 4], [2, 5], [4, 3], [5, 2]], 53/1843200],
[[[1, 4], [2, 5], [4, 3], [6, 4]], 287/35831808],
[[[1, 4], [2, 5], [4, 3], [8, 2]], 7/24576],
[[[1, 4], [2, 5], [4, 3], [10, 2]], 7/46080],
[[[1, 4], [2, 5], [4, 4], [6, 3]], 23/995328],
[[[1, 4], [2, 5], [4, 4], [7, 1]], 109/1032192],
[[[1, 4], [2, 5], [4, 4], [14, 1]], 131/1032192],
[[[1, 4], [2, 5], [4, 5], [5, 1]], 7/491520],
[[[1, 4], [2, 5], [4, 5], [6, 2]], 13/884736],
[[[1, 4], [2, 5], [4, 5], [8, 1]], 19/147456],
[[[1, 4], [2, 5], [4, 5], [10, 1]], 13/737280],
[[[1, 4], [2, 5], [4, 5], [12, 1]], 1/73728],
[[[1, 4], [2, 5], [4, 6], [6, 1]], 19/5308416],
[[[1, 4], [2, 5], [5, 1], [11, 1]], 1/33792],
[[[1, 4], [2, 5], [5, 1], [22, 1]], 1/7040],
[[[1, 4], [2, 5], [5, 2], [7, 1]], 1/107520],
[[[1, 4], [2, 5], [5, 3], [6, 1]], 1/288000],
[[[1, 4], [2, 5], [6, 1], [10, 3]], 61/1152000],
[[[1, 4], [2, 5], [6, 1], [14, 2]], 1/28224],
[[[1, 4], [2, 5], [6, 2], [11, 1]], 1/76032],
[[[1, 4], [2, 5], [6, 2], [22, 1]], 37/405504],
[[[1, 4], [2, 5], [6, 3], [10, 2]], 41/4147200],
[[[1, 4], [2, 5], [6, 4], [14, 1]], 13/1741824],
[[[1, 4], [2, 5], [6, 4], [18, 1]], 481/8957952],
[[[1, 4], [2, 5], [6, 5], [8, 1]], 1/1492992],
[[[1, 4], [2, 5], [6, 5], [10, 1]], 7/22394880],
[[[1, 4], [2, 5], [8, 1], [11, 1]], 1/22528],
[[[1, 4], [2, 5], [8, 1], [22, 1]], 1/9216],
[[[1, 4], [2, 5], [10, 1], [11, 1]], 1/21120],
[[[1, 4], [2, 5], [10, 1], [22, 1]], 157/1013760],
[[[1, 4], [2, 5], [10, 2], [14, 1]], 349/3225600],
[[[1, 4], [2, 7], [3, 1], [6, 5]], 2999/53747712],
[[[1, 4], [2, 7], [3, 1], [11, 1]], 1/1013760],
[[[1, 4], [2, 7], [3, 1], [22, 1]], 17/570240],
[[[1, 4], [2, 7], [3, 2], [4, 4]], 1/5308416],
[[[1, 4], [2, 7], [3, 2], [5, 2]], 1/165888000],
[[[1, 4], [2, 7], [3, 2], [6, 4]], 150487/358318080],
[[[1, 4], [2, 7], [3, 2], [10, 2]], 1/86400],
[[[1, 4], [2, 7], [3, 3], [4, 3]], 1/9953280],
[[[1, 4], [2, 7], [3, 3], [6, 3]], 11389/119439360],
[[[1, 4], [2, 7], [3, 3], [7, 1]], 1/69672960],
[[[1, 4], [2, 7], [3, 3], [9, 1]], 13/29859840],
[[[1, 4], [2, 7], [3, 4], [4, 2]], 7/238878720],
[[[1, 4], [2, 7], [3, 4], [6, 2]], 83/19906560],
[[[1, 4], [2, 7], [3, 5], [6, 1]], 7/1074954240],
[[[1, 4], [2, 7], [4, 1], [6, 5]], 103/8957952],
[[[1, 4], [2, 7], [4, 1], [11, 1]], 3/450560],
[[[1, 4], [2, 7], [4, 1], [22, 1]], 2069/12165120],
[[[1, 4], [2, 7], [4, 2], [5, 2]], 13/6144000],
[[[1, 4], [2, 7], [4, 2], [6, 4]], 5141/47775744],
[[[1, 4], [2, 7], [4, 2], [8, 2]], 221/1474560],
[[[1, 4], [2, 7], [4, 2], [10, 2]], 529/1228800],
[[[1, 4], [2, 7], [4, 3], [6, 3]], 1921/8957952],
[[[1, 4], [2, 7], [4, 3], [7, 1]], 1/163840],
[[[1, 4], [2, 7], [4, 3], [14, 1]], 7867/30965760],
[[[1, 4], [2, 7], [4, 4], [5, 1]], 197/22118400],
[[[1, 4], [2, 7], [4, 4], [6, 2]], 2533/21233664],
[[[1, 4], [2, 7], [4, 4], [8, 1]], 3089/17694720],
[[[1, 4], [2, 7], [4, 4], [10, 1]], 763/9830400],
[[[1, 4], [2, 7], [4, 4], [12, 1]], 49/1658880],
[[[1, 4], [2, 7], [4, 5], [6, 1]], 181/8847360],
[[[1, 4], [2, 7], [5, 1], [6, 4]], 23/1244160],
[[[1, 4], [2, 7], [5, 1], [10, 2]], 487/1843200],
[[[1, 4], [2, 7], [5, 2], [8, 1]], 1/1843200],
[[[1, 4], [2, 7], [5, 2], [10, 1]], 407/9216000],
[[[1, 4], [2, 7], [6, 1], [11, 1]], 1/304128],
[[[1, 4], [2, 7], [6, 1], [22, 1]], 79/760320],
[[[1, 4], [2, 7], [6, 2], [10, 2]], 1951/11059200],
[[[1, 4], [2, 7], [6, 3], [14, 1]], 7027/69672960],
[[[1, 4], [2, 7], [6, 3], [18, 1]], 4879/29859840],
[[[1, 4], [2, 7], [6, 4], [8, 1]], 79/5971968],
[[[1, 4], [2, 7], [6, 4], [10, 1]], 6143/179159040],
[[[1, 4], [2, 7], [8, 1], [10, 2]], 277/6912000],
[[[1, 4], [2, 9], [3, 1], [4, 4]], 119/106168320],
[[[1, 4], [2, 9], [3, 1], [6, 4]], 20077/134369280],
[[[1, 4], [2, 9], [3, 1], [10, 2]], 2027/290304000],
[[[1, 4], [2, 9], [3, 2], [4, 3]], 23/318504960],
[[[1, 4], [2, 9], [3, 2], [6, 3]], 41023/313528320],
[[[1, 4], [2, 9], [3, 2], [9, 1]], 1/119439360],
[[[1, 4], [2, 9], [3, 2], [14, 1]], 1/414720],
[[[1, 4], [2, 9], [3, 3], [6, 2]], 1591/418037760],
[[[1, 4], [2, 9], [4, 1], [5, 2]], 1/36864000],
[[[1, 4], [2, 9], [4, 1], [6, 4]], 14909/143327232],
[[[1, 4], [2, 9], [4, 1], [8, 2]], 293/26542080],
[[[1, 4], [2, 9], [4, 1], [10, 2]], 127/864000],
[[[1, 4], [2, 9], [4, 2], [6, 3]], 55547/238878720],
[[[1, 4], [2, 9], [4, 2], [7, 1]], 1/4128768],
[[[1, 4], [2, 9], [4, 2], [14, 1]], 193/1720320],
[[[1, 4], [2, 9], [4, 3], [5, 1]], 1097/619315200],
[[[1, 4], [2, 9], [4, 3], [6, 2]], 71341/477757440],
[[[1, 4], [2, 9], [4, 3], [8, 1]], 25721/495452160],
[[[1, 4], [2, 9], [4, 3], [10, 1]], 4793/61931520],
[[[1, 4], [2, 9], [4, 3], [12, 1]], 13/5160960],
[[[1, 4], [2, 9], [4, 4], [6, 1]], 21319/743178240],
[[[1, 4], [2, 9], [5, 1], [6, 3]], 83/6220800],
[[[1, 4], [2, 9], [5, 1], [7, 1]], 1/154828800],
[[[1, 4], [2, 9], [5, 1], [14, 1]], 1/115200],
[[[1, 4], [2, 9], [6, 1], [10, 2]], 1079/8064000],
[[[1, 4], [2, 9], [6, 2], [14, 1]], 421/3096576],
[[[1, 4], [2, 9], [6, 2], [18, 1]], 11609/179159040],
[[[1, 4], [2, 9], [6, 3], [8, 1]], 661/41803776],
[[[1, 4], [2, 9], [6, 3], [10, 1]], 710401/6270566400],
[[[1, 4], [2, 9], [8, 1], [14, 1]], 671/46448640],
[[[1, 4], [2, 9], [10, 1], [14, 1]], 20339/232243200],
[[[1, 4], [2, 11], [3, 1], [4, 3]], 127/371589120],
[[[1, 4], [2, 11], [3, 1], [6, 3]], 884647/22574039040],
[[[1, 4], [2, 11], [3, 1], [14, 1]], 361/348364800],
[[[1, 4], [2, 11], [3, 2], [4, 2]], 1/55738368],
[[[1, 4], [2, 11], [3, 2], [6, 2]], 199847/33443020800],
[[[1, 4], [2, 11], [3, 2], [10, 1]], 127/696729600],
[[[1, 4], [2, 11], [3, 3], [6, 1]], 421/6270566400],
[[[1, 4], [2, 11], [4, 1], [6, 3]], 434311/7524679680],
[[[1, 4], [2, 11], [4, 1], [14, 1]], 8839/541900800],
[[[1, 4], [2, 11], [4, 2], [5, 1]], 73/331776000],
[[[1, 4], [2, 11], [4, 2], [6, 2]], 7157/127401984],
[[[1, 4], [2, 11], [4, 2], [8, 1]], 120151/14863564800],
[[[1, 4], [2, 11], [4, 2], [10, 1]], 82813/3715891200],
[[[1, 4], [2, 11], [4, 2], [12, 1]], 361/1393459200],
[[[1, 4], [2, 11], [4, 3], [6, 1]], 5449/358318080],
[[[1, 4], [2, 11], [5, 1], [6, 2]], 341/232243200],
[[[1, 4], [2, 11], [5, 1], [10, 1]], 5699/3096576000],
[[[1, 4], [2, 11], [6, 1], [14, 1]], 197737/9754214400],
[[[1, 4], [2, 11], [6, 1], [18, 1]], 7001/2508226560],
[[[1, 4], [2, 11], [6, 2], [8, 1]], 25531/8360755200],
[[[1, 4], [2, 11], [6, 2], [10, 1]], 82231/1791590400],
[[[1, 4], [2, 11], [8, 1], [10, 1]], 11129/6967296000],
[[[1, 4], [2, 13], [3, 1], [4, 2]], 31/756940800],
[[[1, 4], [2, 13], [3, 1], [6, 2]], 1699861/827714764800],
[[[1, 4], [2, 13], [3, 1], [8, 1]], 163/68976230400],
[[[1, 4], [2, 13], [3, 1], [10, 1]], 45953/689762304000],
[[[1, 4], [2, 13], [3, 2], [4, 1]], 743/275904921600],
[[[1, 4], [2, 13], [3, 2], [6, 1]], 2071/68976230400],
[[[1, 4], [2, 13], [4, 1], [5, 1]], 2881/229920768000],
[[[1, 4], [2, 13], [4, 1], [6, 2]], 865637/137952460800],
[[[1, 4], [2, 13], [4, 1], [8, 1]], 753899/2942985830400],
[[[1, 4], [2, 13], [4, 1], [10, 1]], 69593/32845824000],
[[[1, 4], [2, 13], [4, 1], [12, 1]], 163/34488115200],
[[[1, 4], [2, 13], [4, 2], [6, 1]], 7733/2675441664],
[[[1, 4], [2, 13], [5, 1], [6, 1]], 31/870912000],
[[[1, 4], [2, 13], [6, 1], [8, 1]], 11441/91968307200],
[[[1, 4], [2, 13], [6, 1], [10, 1]], 9269959/2759049216000],
[[[1, 4], [2, 15], [3, 1], [4, 1]], 137/95551488000],
[[[1, 4], [2, 15], [3, 1], [6, 1]], 1498027/66217181184000],
[[[1, 4], [2, 15], [4, 1], [6, 1]], 198683/1103619686400],
[[[1, 5], [2, 2], [3, 2], [5, 3]], 7/144000],
[[[1, 5], [2, 2], [3, 2], [7, 2]], 5/14112],
[[[1, 5], [2, 2], [3, 3], [11, 1]], 1/25344],
[[[1, 5], [2, 2], [3, 4], [4, 4]], 43/11943936],
[[[1, 5], [2, 2], [3, 4], [5, 2]], 7/777600],
[[[1, 5], [2, 2], [3, 4], [6, 4]], 1/31104],
[[[1, 5], [2, 2], [3, 5], [4, 3]], 1/373248],
[[[1, 5], [2, 2], [3, 5], [6, 3]], 1/62208],
[[[1, 5], [2, 2], [3, 5], [9, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 6], [4, 2]], 1/1990656],
[[[1, 5], [2, 2], [3, 6], [5, 1]], 1/2799360],
[[[1, 5], [2, 2], [3, 6], [6, 2]], 13/314928],
[[[1, 5], [2, 2], [3, 6], [8, 1]], 1/2239488],
[[[1, 5], [2, 2], [3, 6], [10, 1]], 1/1399680],
[[[1, 5], [2, 2], [3, 7], [6, 1]], 1/2519424],
[[[1, 5], [2, 2], [4, 2], [5, 3]], 11/256000],
[[[1, 5], [2, 2], [4, 2], [7, 2]], 1/3136],
[[[1, 5], [2, 2], [4, 3], [11, 1]], 1/18432],
[[[1, 5], [2, 2], [4, 4], [5, 2]], 7/1843200],
[[[1, 5], [2, 2], [4, 6], [8, 1]], 1/196608],
[[[1, 5], [2, 2], [5, 1], [7, 2]], 3/7840],
[[[1, 5], [2, 2], [5, 3], [6, 2]], 1/72000],
[[[1, 5], [2, 2], [5, 3], [8, 1]], 3/64000],
[[[1, 5], [2, 2], [5, 3], [10, 1]], 17/40000],
[[[1, 5], [2, 2], [7, 1], [11, 1]], 1/2464],
[[[1, 5], [2, 4], [3, 1], [4, 6]], 19/5308416],
[[[1, 5], [2, 4], [3, 1], [5, 3]], 61/1152000],
[[[1, 5], [2, 4], [3, 1], [6, 6]], 7/26873856],
[[[1, 5], [2, 4], [3, 1], [7, 2]], 1/28224],
[[[1, 5], [2, 4], [3, 1], [10, 3]], 1/288000],
[[[1, 5], [2, 4], [3, 2], [4, 5]], 13/884736],
[[[1, 5], [2, 4], [3, 2], [6, 5]], 11/839808],
[[[1, 5], [2, 4], [3, 2], [11, 1]], 37/405504],
[[[1, 5], [2, 4], [3, 2], [22, 1]], 1/76032],
[[[1, 5], [2, 4], [3, 3], [4, 4]], 23/995328],
[[[1, 5], [2, 4], [3, 3], [5, 2]], 41/4147200],
[[[1, 5], [2, 4], [3, 3], [6, 4]], 77/497664],
[[[1, 5], [2, 4], [3, 4], [4, 3]], 287/35831808],
[[[1, 5], [2, 4], [3, 4], [6, 3]], 929/2239488],
[[[1, 5], [2, 4], [3, 4], [7, 1]], 13/1741824],
[[[1, 5], [2, 4], [3, 4], [9, 1]], 481/8957952],
[[[1, 5], [2, 4], [3, 5], [5, 1]], 7/22394880],
[[[1, 5], [2, 4], [3, 5], [6, 2]], 37/497664],
[[[1, 5], [2, 4], [3, 5], [8, 1]], 1/1492992],
[[[1, 5], [2, 4], [3, 6], [4, 1]], 1/26873856],
[[[1, 5], [2, 4], [3, 6], [6, 1]], 1/314928],
[[[1, 5], [2, 4], [4, 1], [5, 3]], 39/256000],
[[[1, 5], [2, 4], [4, 1], [6, 6]], 1/537477120],
[[[1, 5], [2, 4], [4, 1], [7, 2]], 1/4704],
[[[1, 5], [2, 4], [4, 1], [10, 3]], 47/2560000],
[[[1, 5], [2, 4], [4, 2], [11, 1]], 127/270336],
[[[1, 5], [2, 4], [4, 2], [22, 1]], 17/90112],
[[[1, 5], [2, 4], [4, 3], [5, 2]], 7/46080],
[[[1, 5], [2, 4], [4, 3], [8, 2]], 7/24576],
[[[1, 5], [2, 4], [4, 3], [10, 2]], 53/1843200],
[[[1, 5], [2, 4], [4, 4], [7, 1]], 131/1032192],
[[[1, 5], [2, 4], [4, 4], [14, 1]], 109/1032192],
[[[1, 5], [2, 4], [4, 5], [5, 1]], 13/737280],
[[[1, 5], [2, 4], [4, 5], [6, 2]], 7/1769472],
[[[1, 5], [2, 4], [4, 5], [8, 1]], 19/147456],
[[[1, 5], [2, 4], [4, 5], [10, 1]], 7/491520],
[[[1, 5], [2, 4], [4, 5], [12, 1]], 1/73728],
[[[1, 5], [2, 4], [4, 6], [6, 1]], 7/1769472],
[[[1, 5], [2, 4], [5, 1], [11, 1]], 157/1013760],
[[[1, 5], [2, 4], [5, 1], [22, 1]], 1/21120],
[[[1, 5], [2, 4], [5, 2], [7, 1]], 349/3225600],
[[[1, 5], [2, 4], [5, 3], [6, 1]], 7/288000],
[[[1, 5], [2, 4], [6, 1], [10, 3]], 1/1152000],
[[[1, 5], [2, 4], [6, 2], [11, 1]], 1/25344],
[[[1, 5], [2, 4], [6, 2], [22, 1]], 5/608256],
[[[1, 5], [2, 4], [6, 3], [10, 2]], 1/4147200],
[[[1, 5], [2, 4], [6, 4], [14, 1]], 1/1741824],
[[[1, 5], [2, 4], [6, 4], [18, 1]], 7/1492992],
[[[1, 5], [2, 4], [8, 1], [11, 1]], 1/9216],
[[[1, 5], [2, 4], [8, 1], [22, 1]], 1/22528],
[[[1, 5], [2, 4], [10, 1], [11, 1]], 1/7040],
[[[1, 5], [2, 4], [10, 1], [22, 1]], 1/33792],
[[[1, 5], [2, 4], [10, 2], [14, 1]], 1/107520],
[[[1, 5], [2, 6], [3, 1], [4, 5]], 85/1769472],
[[[1, 5], [2, 6], [3, 1], [6, 5]], 4723/214990848],
[[[1, 5], [2, 6], [3, 1], [11, 1]], 79/4561920],
[[[1, 5], [2, 6], [3, 1], [22, 1]], 5/76032],
[[[1, 5], [2, 6], [3, 2], [4, 4]], 113/5308416],
[[[1, 5], [2, 6], [3, 2], [5, 2]], 11/6635520],
[[[1, 5], [2, 6], [3, 2], [6, 4]], 13307/53747712],
[[[1, 5], [2, 6], [3, 2], [10, 2]], 1/86400],
[[[1, 5], [2, 6], [3, 3], [4, 3]], 1/663552],
[[[1, 5], [2, 6], [3, 3], [6, 3]], 14323/39813120],
[[[1, 5], [2, 6], [3, 3], [7, 1]], 181/69672960],
[[[1, 5], [2, 6], [3, 3], [9, 1]], 361/29859840],
[[[1, 5], [2, 6], [3, 4], [4, 2]], 23/26542080],
[[[1, 5], [2, 6], [3, 4], [5, 1]], 187/895795200],
[[[1, 5], [2, 6], [3, 4], [6, 2]], 4453/71663616],
[[[1, 5], [2, 6], [3, 4], [8, 1]], 7/35831808],
[[[1, 5], [2, 6], [3, 5], [4, 1]], 19/89579520],
[[[1, 5], [2, 6], [3, 5], [6, 1]], 7/3981312],
[[[1, 5], [2, 6], [4, 1], [6, 5]], 43/14929920],
[[[1, 5], [2, 6], [4, 1], [11, 1]], 233/4055040],
[[[1, 5], [2, 6], [4, 1], [22, 1]], 9413/60825600],
[[[1, 5], [2, 6], [4, 2], [5, 2]], 359/4608000],
[[[1, 5], [2, 6], [4, 2], [6, 4]], 167/15925248],
[[[1, 5], [2, 6], [4, 2], [8, 2]], 1463/4423680],
[[[1, 5], [2, 6], [4, 2], [10, 2]], 1181/3686400],
[[[1, 5], [2, 6], [4, 3], [6, 3]], 1949/23887872],
[[[1, 5], [2, 6], [4, 3], [7, 1]], 5/32768],
[[[1, 5], [2, 6], [4, 3], [14, 1]], 2333/6193152],
[[[1, 5], [2, 6], [4, 4], [5, 1]], 35/294912],
[[[1, 5], [2, 6], [4, 4], [6, 2]], 265/1769472],
[[[1, 5], [2, 6], [4, 4], [8, 1]], 943/1769472],
[[[1, 5], [2, 6], [4, 4], [10, 1]], 847/4423680],
[[[1, 5], [2, 6], [4, 4], [12, 1]], 13/110592],
[[[1, 5], [2, 6], [4, 5], [6, 1]], 109/1769472],
[[[1, 5], [2, 6], [5, 1], [6, 4]], 7/3732480],
[[[1, 5], [2, 6], [5, 1], [10, 2]], 3269/9216000],
[[[1, 5], [2, 6], [5, 2], [6, 2]], 1/691200],
[[[1, 5], [2, 6], [5, 2], [8, 1]], 7/921600],
[[[1, 5], [2, 6], [5, 2], [10, 1]], 1943/9216000],
[[[1, 5], [2, 6], [6, 1], [11, 1]], 1/33792],
[[[1, 5], [2, 6], [6, 1], [22, 1]], 47/608256],
[[[1, 5], [2, 6], [6, 2], [10, 2]], 529/11059200],
[[[1, 5], [2, 6], [6, 3], [14, 1]], 439/13934592],
[[[1, 5], [2, 6], [6, 3], [18, 1]], 59/663552],
[[[1, 5], [2, 6], [6, 4], [8, 1]], 37/11943936],
[[[1, 5], [2, 6], [6, 4], [10, 1]], 151/29859840],
[[[1, 5], [2, 6], [8, 1], [10, 2]], 59/1843200],
[[[1, 5], [2, 8], [3, 1], [4, 4]], 1289/106168320],
[[[1, 5], [2, 8], [3, 1], [5, 2]], 7/55296000],
[[[1, 5], [2, 8], [3, 1], [6, 4]], 33497/268738560],
[[[1, 5], [2, 8], [3, 1], [10, 2]], 217/10368000],
[[[1, 5], [2, 8], [3, 2], [4, 3]], 577/159252480],
[[[1, 5], [2, 8], [3, 2], [6, 3]], 162419/537477120],
[[[1, 5], [2, 8], [3, 2], [7, 1]], 5/18579456],
[[[1, 5], [2, 8], [3, 2], [9, 1]], 7/7962624],
[[[1, 5], [2, 8], [3, 2], [14, 1]], 23/2903040],
[[[1, 5], [2, 8], [3, 3], [4, 2]], 49/79626240],
[[[1, 5], [2, 8], [3, 3], [5, 1]], 1/199065600],
[[[1, 5], [2, 8], [3, 3], [6, 2]], 137/4976640],
[[[1, 5], [2, 8], [3, 4], [4, 1]], 7/716636160],
[[[1, 5], [2, 8], [3, 4], [6, 1]], 13/44789760],
[[[1, 5], [2, 8], [4, 1], [5, 2]], 1/1152000],
[[[1, 5], [2, 8], [4, 1], [6, 4]], 194537/3583180800],
[[[1, 5], [2, 8], [4, 1], [8, 2]], 389/8847360],
[[[1, 5], [2, 8], [4, 1], [10, 2]], 380969/1935360000],
[[[1, 5], [2, 8], [4, 2], [6, 3]], 409/1658880],
[[[1, 5], [2, 8], [4, 2], [7, 1]], 17/2949120],
[[[1, 5], [2, 8], [4, 2], [14, 1]], 2087/7741440],
[[[1, 5], [2, 8], [4, 3], [5, 1]], 1213/44236800],
[[[1, 5], [2, 8], [4, 3], [6, 2]], 54497/159252480],
[[[1, 5], [2, 8], [4, 3], [8, 1]], 69/262144],
[[[1, 5], [2, 8], [4, 3], [10, 1]], 11401/44236800],
[[[1, 5], [2, 8], [4, 3], [12, 1]], 11/442368],
[[[1, 5], [2, 8], [4, 4], [6, 1]], 1049/7077888],
[[[1, 5], [2, 8], [5, 1], [6, 3]], 43/1866240],
[[[1, 5], [2, 8], [5, 1], [7, 1]], 13/51609600],
[[[1, 5], [2, 8], [5, 1], [14, 1]], 23/806400],
[[[1, 5], [2, 8], [5, 2], [6, 1]], 1/2764800],
[[[1, 5], [2, 8], [6, 1], [10, 2]], 3233/27648000],
[[[1, 5], [2, 8], [6, 2], [14, 1]], 377/3317760],
[[[1, 5], [2, 8], [6, 2], [18, 1]], 1709/19906560],
[[[1, 5], [2, 8], [6, 3], [8, 1]], 2171/119439360],
[[[1, 5], [2, 8], [6, 3], [10, 1]], 10573/149299200],
[[[1, 5], [2, 8], [7, 1], [8, 1]], 1/1032192],
[[[1, 5], [2, 8], [8, 1], [14, 1]], 13/442368],
[[[1, 5], [2, 8], [10, 1], [14, 1]], 277/2867200],
[[[1, 5], [2, 10], [3, 1], [4, 3]], 25/6967296],
[[[1, 5], [2, 10], [3, 1], [6, 3]], 468661/5016453120],
[[[1, 5], [2, 10], [3, 1], [7, 1]], 1/185794560],
[[[1, 5], [2, 10], [3, 1], [9, 1]], 1/79626240],
[[[1, 5], [2, 10], [3, 1], [14, 1]], 79/13934592],
[[[1, 5], [2, 10], [3, 2], [4, 2]], 673/1486356480],
[[[1, 5], [2, 10], [3, 2], [6, 2]], 387911/12039487488],
[[[1, 5], [2, 10], [3, 2], [10, 1]], 61/58060800],
[[[1, 5], [2, 10], [3, 3], [6, 1]], 53/74317824],
[[[1, 5], [2, 10], [4, 1], [6, 3]], 3873691/37623398400],
[[[1, 5], [2, 10], [4, 1], [7, 1]], 1/17694720],
[[[1, 5], [2, 10], [4, 1], [14, 1]], 33959/663552000],
[[[1, 5], [2, 10], [4, 2], [5, 1]], 229/82575360],
[[[1, 5], [2, 10], [4, 2], [6, 2]], 16217/92897280],
[[[1, 5], [2, 10], [4, 2], [8, 1]], 42109/990904320],
[[[1, 5], [2, 10], [4, 2], [10, 1]], 1277/14515200],
[[[1, 5], [2, 10], [4, 2], [12, 1]], 59/30965760],
[[[1, 5], [2, 10], [4, 3], [6, 1]], 98047/1114767360],
[[[1, 5], [2, 10], [5, 1], [6, 2]], 169/24883200],
[[[1, 5], [2, 10], [5, 1], [10, 1]], 22289/2322432000],
[[[1, 5], [2, 10], [6, 1], [14, 1]], 5953/139345920],
[[[1, 5], [2, 10], [6, 1], [18, 1]], 61/7464960],
[[[1, 5], [2, 10], [6, 2], [8, 1]], 1873/222953472],
[[[1, 5], [2, 10], [6, 2], [10, 1]], 3931/55738368],
[[[1, 5], [2, 10], [8, 1], [10, 1]], 5063/928972800],
[[[1, 5], [2, 12], [3, 1], [4, 2]], 80347/183936614400],
[[[1, 5], [2, 12], [3, 1], [6, 2]], 16725151/1655429529600],
[[[1, 5], [2, 12], [3, 1], [8, 1]], 331/16721510400],
[[[1, 5], [2, 12], [3, 1], [10, 1]], 5639/10450944000],
[[[1, 5], [2, 12], [3, 2], [4, 1]], 361/8360755200],
[[[1, 5], [2, 12], [3, 2], [6, 1]], 305113/827714764800],
[[[1, 5], [2, 12], [4, 1], [5, 1]], 2497/13934592000],
[[[1, 5], [2, 12], [4, 1], [6, 2]], 1194103/49049763840],
[[[1, 5], [2, 12], [4, 1], [8, 1]], 4938089/2942985830400],
[[[1, 5], [2, 12], [4, 1], [10, 1]], 90670957/9196830720000],
[[[1, 5], [2, 12], [4, 1], [12, 1]], 331/8360755200],
[[[1, 5], [2, 12], [4, 2], [6, 1]], 400997/22295347200],
[[[1, 5], [2, 12], [5, 1], [6, 1]], 341/1045094400],
[[[1, 5], [2, 12], [6, 1], [8, 1]], 5561/8360755200],
[[[1, 5], [2, 12], [6, 1], [10, 1]], 887543/83607552000],
[[[1, 5], [2, 14], [3, 1], [4, 1]], 46391/2207239372800],
[[[1, 5], [2, 14], [3, 1], [6, 1]], 2101513/10594748989440],
[[[1, 5], [2, 14], [4, 1], [6, 1]], 1699147/1379524608000],
[[[1, 5], [3, 1], [4, 2], [5, 3]], 1/96000],
[[[1, 5], [3, 1], [5, 1], [7, 2]], 1/2205],
[[[1, 5], [3, 1], [7, 1], [11, 1]], 1/2772],
[[[1, 5], [3, 2], [4, 2], [11, 1]], 1/33792],
[[[1, 5], [3, 2], [5, 1], [11, 1]], 1/5280],
[[[1, 5], [3, 2], [5, 2], [7, 1]], 13/50400],
[[[1, 5], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 5], [3, 3], [4, 2], [5, 2]], 1/69120],
[[[1, 5], [3, 3], [7, 1], [9, 1]], 1/4536],
[[[1, 5], [3, 4], [4, 2], [7, 1]], 1/145152],
[[[1, 5], [3, 4], [4, 2], [9, 1]], 13/746496],
[[[1, 5], [3, 4], [5, 1], [7, 1]], 17/272160],
[[[1, 5], [3, 4], [5, 1], [9, 1]], 1/12960],
[[[1, 5], [3, 5], [4, 2], [5, 1]], 7/1866240],
[[[1, 5], [3, 6], [4, 1], [8, 1]], 1/2239488],
[[[1, 5], [4, 1], [5, 3], [8, 1]], 1/32000],
[[[1, 5], [4, 2], [5, 1], [11, 1]], 1/84480],
[[[1, 5], [4, 2], [5, 2], [7, 1]], 1/268800],
[[[1, 6], [2, 1], [3, 2], [5, 3]], 13/144000],
[[[1, 6], [2, 1], [3, 2], [7, 2]], 1/2352],
[[[1, 6], [2, 1], [3, 3], [11, 1]], 5/38016],
[[[1, 6], [2, 1], [3, 4], [5, 2]], 17/777600],
[[[1, 6], [2, 1], [3, 5], [4, 3]], 11/4478976],
[[[1, 6], [2, 1], [3, 5], [7, 1]], 1/36288],
[[[1, 6], [2, 1], [3, 5], [9, 1]], 7/93312],
[[[1, 6], [2, 1], [3, 6], [4, 2]], 13/8957952],
[[[1, 6], [2, 1], [3, 6], [5, 1]], 1/1399680],
[[[1, 6], [2, 1], [3, 6], [8, 1]], 1/4478976],
[[[1, 6], [2, 1], [3, 7], [4, 1]], 1/1119744],
[[[1, 6], [2, 1], [3, 7], [6, 1]], 1/186624],
[[[1, 6], [2, 1], [4, 2], [5, 3]], 7/768000],
[[[1, 6], [2, 1], [4, 3], [11, 1]], 23/3041280],
[[[1, 6], [2, 1], [5, 1], [7, 2]], 1/4704],
[[[1, 6], [2, 1], [5, 3], [8, 1]], 1/64000],
[[[1, 6], [2, 1], [5, 3], [10, 1]], 1/8000],
[[[1, 6], [2, 1], [7, 1], [11, 1]], 1/7392],
[[[1, 6], [2, 3], [3, 1], [5, 3]], 103/576000],
[[[1, 6], [2, 3], [3, 1], [7, 2]], 5/14112],
[[[1, 6], [2, 3], [3, 2], [4, 5]], 17/1769472],
[[[1, 6], [2, 3], [3, 2], [6, 5]], 1/995328],
[[[1, 6], [2, 3], [3, 2], [11, 1]], 17/101376],
[[[1, 6], [2, 3], [3, 3], [4, 4]], 77/2985984],
[[[1, 6], [2, 3], [3, 3], [5, 2]], 151/2073600],
[[[1, 6], [2, 3], [3, 3], [6, 4]], 1/62208],
[[[1, 6], [2, 3], [3, 4], [4, 3]], 487/11943936],
[[[1, 6], [2, 3], [3, 4], [6, 3]], 3491/26873856],
[[[1, 6], [2, 3], [3, 4], [7, 1]], 59/2612736],
[[[1, 6], [2, 3], [3, 4], [9, 1]], 73/746496],
[[[1, 6], [2, 3], [3, 5], [4, 2]], 85/4478976],
[[[1, 6], [2, 3], [3, 5], [5, 1]], 13/1866240],
[[[1, 6], [2, 3], [3, 5], [6, 2]], 193/839808],
[[[1, 6], [2, 3], [3, 5], [8, 1]], 19/4478976],
[[[1, 6], [2, 3], [3, 5], [10, 1]], 1/155520],
[[[1, 6], [2, 3], [3, 6], [4, 1]], 19/53747712],
[[[1, 6], [2, 3], [3, 6], [6, 1]], 115/13436928],
[[[1, 6], [2, 3], [4, 1], [5, 3]], 233/768000],
[[[1, 6], [2, 3], [4, 1], [7, 2]], 1/2352],
[[[1, 6], [2, 3], [4, 1], [10, 3]], 1/7680000],
[[[1, 6], [2, 3], [4, 2], [11, 1]], 23/73728],
[[[1, 6], [2, 3], [4, 2], [22, 1]], 7/450560],
[[[1, 6], [2, 3], [4, 3], [5, 2]], 83/921600],
[[[1, 6], [2, 3], [4, 3], [8, 2]], 5/32768],
[[[1, 6], [2, 3], [4, 4], [7, 1]], 121/5160960],
[[[1, 6], [2, 3], [4, 5], [5, 1]], 1/98304],
[[[1, 6], [2, 3], [4, 5], [8, 1]], 167/2211840],
[[[1, 6], [2, 3], [4, 5], [12, 1]], 1/73728],
[[[1, 6], [2, 3], [5, 1], [11, 1]], 19/84480],
[[[1, 6], [2, 3], [5, 2], [7, 1]], 83/268800],
[[[1, 6], [2, 3], [5, 3], [6, 1]], 7/288000],
[[[1, 6], [2, 3], [6, 2], [11, 1]], 1/76032],
[[[1, 6], [2, 3], [6, 2], [22, 1]], 1/18247680],
[[[1, 6], [2, 3], [6, 4], [18, 1]], 1/44789760],
[[[1, 6], [2, 3], [8, 1], [11, 1]], 113/1520640],
[[[1, 6], [2, 3], [8, 1], [22, 1]], 1/202752],
[[[1, 6], [2, 3], [10, 1], [11, 1]], 1/21120],
[[[1, 6], [2, 3], [10, 1], [22, 1]], 1/5068800],
[[[1, 6], [2, 3], [10, 2], [14, 1]], 1/16128000],
[[[1, 6], [2, 5], [3, 1], [4, 5]], 109/1769472],
[[[1, 6], [2, 5], [3, 1], [6, 5]], 7/3981312],
[[[1, 6], [2, 5], [3, 1], [11, 1]], 47/608256],
[[[1, 6], [2, 5], [3, 1], [22, 1]], 1/33792],
[[[1, 6], [2, 5], [3, 2], [4, 4]], 265/1769472],
[[[1, 6], [2, 5], [3, 2], [5, 2]], 529/11059200],
[[[1, 6], [2, 5], [3, 2], [6, 4]], 4453/71663616],
[[[1, 6], [2, 5], [3, 2], [10, 2]], 1/691200],
[[[1, 6], [2, 5], [3, 3], [4, 3]], 1949/23887872],
[[[1, 6], [2, 5], [3, 3], [6, 3]], 14323/39813120],
[[[1, 6], [2, 5], [3, 3], [7, 1]], 439/13934592],
[[[1, 6], [2, 5], [3, 3], [9, 1]], 59/663552],
[[[1, 6], [2, 5], [3, 4], [4, 2]], 167/15925248],
[[[1, 6], [2, 5], [3, 4], [5, 1]], 151/29859840],
[[[1, 6], [2, 5], [3, 4], [6, 2]], 13307/53747712],
[[[1, 6], [2, 5], [3, 4], [8, 1]], 37/11943936],
[[[1, 6], [2, 5], [3, 4], [10, 1]], 7/3732480],
[[[1, 6], [2, 5], [3, 5], [4, 1]], 43/14929920],
[[[1, 6], [2, 5], [3, 5], [6, 1]], 4723/214990848],
[[[1, 6], [2, 5], [4, 1], [6, 5]], 19/89579520],
[[[1, 6], [2, 5], [4, 1], [11, 1]], 9413/60825600],
[[[1, 6], [2, 5], [4, 1], [22, 1]], 233/4055040],
[[[1, 6], [2, 5], [4, 2], [5, 2]], 1181/3686400],
[[[1, 6], [2, 5], [4, 2], [6, 4]], 23/26542080],
[[[1, 6], [2, 5], [4, 2], [8, 2]], 1463/4423680],
[[[1, 6], [2, 5], [4, 2], [10, 2]], 359/4608000],
[[[1, 6], [2, 5], [4, 3], [6, 3]], 1/663552],
[[[1, 6], [2, 5], [4, 3], [7, 1]], 2333/6193152],
[[[1, 6], [2, 5], [4, 3], [14, 1]], 5/32768],
[[[1, 6], [2, 5], [4, 4], [5, 1]], 847/4423680],
[[[1, 6], [2, 5], [4, 4], [6, 2]], 113/5308416],
[[[1, 6], [2, 5], [4, 4], [8, 1]], 943/1769472],
[[[1, 6], [2, 5], [4, 4], [10, 1]], 35/294912],
[[[1, 6], [2, 5], [4, 4], [12, 1]], 13/110592],
[[[1, 6], [2, 5], [4, 5], [6, 1]], 85/1769472],
[[[1, 6], [2, 5], [5, 1], [10, 2]], 1943/9216000],
[[[1, 6], [2, 5], [5, 2], [6, 2]], 1/86400],
[[[1, 6], [2, 5], [5, 2], [8, 1]], 59/1843200],
[[[1, 6], [2, 5], [5, 2], [10, 1]], 3269/9216000],
[[[1, 6], [2, 5], [6, 1], [11, 1]], 5/76032],
[[[1, 6], [2, 5], [6, 1], [22, 1]], 79/4561920],
[[[1, 6], [2, 5], [6, 2], [10, 2]], 11/6635520],
[[[1, 6], [2, 5], [6, 3], [14, 1]], 181/69672960],
[[[1, 6], [2, 5], [6, 3], [18, 1]], 361/29859840],
[[[1, 6], [2, 5], [6, 4], [8, 1]], 7/35831808],
[[[1, 6], [2, 5], [6, 4], [10, 1]], 187/895795200],
[[[1, 6], [2, 5], [8, 1], [10, 2]], 7/921600],
[[[1, 6], [2, 7], [3, 1], [4, 4]], 5651/53084160],
[[[1, 6], [2, 7], [3, 1], [5, 2]], 17/3317760],
[[[1, 6], [2, 7], [3, 1], [6, 4]], 953/17915904],
[[[1, 6], [2, 7], [3, 1], [10, 2]], 19/921600],
[[[1, 6], [2, 7], [3, 2], [4, 3]], 377/8847360],
[[[1, 6], [2, 7], [3, 2], [6, 3]], 12233/44789760],
[[[1, 6], [2, 7], [3, 2], [7, 1]], 149/23224320],
[[[1, 6], [2, 7], [3, 2], [9, 1]], 391/29859840],
[[[1, 6], [2, 7], [3, 2], [14, 1]], 11/1161216],
[[[1, 6], [2, 7], [3, 3], [4, 2]], 1249/119439360],
[[[1, 6], [2, 7], [3, 3], [5, 1]], 163/149299200],
[[[1, 6], [2, 7], [3, 3], [6, 2]], 2237/19906560],
[[[1, 6], [2, 7], [3, 3], [8, 1]], 19/23887872],
[[[1, 6], [2, 7], [3, 4], [4, 1]], 97/79626240],
[[[1, 6], [2, 7], [3, 4], [6, 1]], 953/134369280],
[[[1, 6], [2, 7], [4, 1], [5, 2]], 677/27648000],
[[[1, 6], [2, 7], [4, 1], [6, 4]], 10807/716636160],
[[[1, 6], [2, 7], [4, 1], [8, 2]], 1/11520],
[[[1, 6], [2, 7], [4, 1], [10, 2]], 1001/8640000],
[[[1, 6], [2, 7], [4, 2], [6, 3]], 10057/132710400],
[[[1, 6], [2, 7], [4, 2], [7, 1]], 1261/17203200],
[[[1, 6], [2, 7], [4, 2], [14, 1]], 36557/154828800],
[[[1, 6], [2, 7], [4, 3], [5, 1]], 3727/22118400],
[[[1, 6], [2, 7], [4, 3], [6, 2]], 12373/53084160],
[[[1, 6], [2, 7], [4, 3], [8, 1]], 299339/530841600],
[[[1, 6], [2, 7], [4, 3], [10, 1]], 14879/44236800],
[[[1, 6], [2, 7], [4, 3], [12, 1]], 35/442368],
[[[1, 6], [2, 7], [4, 4], [6, 1]], 2419/10616832],
[[[1, 6], [2, 7], [5, 1], [6, 3]], 19/2488320],
[[[1, 6], [2, 7], [5, 1], [7, 1]], 59/7741440],
[[[1, 6], [2, 7], [5, 1], [14, 1]], 11/322560],
[[[1, 6], [2, 7], [5, 2], [6, 1]], 7/1382400],
[[[1, 6], [2, 7], [6, 1], [10, 2]], 3781/82944000],
[[[1, 6], [2, 7], [6, 2], [7, 1]], 1/387072],
[[[1, 6], [2, 7], [6, 2], [14, 1]], 5293/116121600],
[[[1, 6], [2, 7], [6, 2], [18, 1]], 8533/149299200],
[[[1, 6], [2, 7], [6, 3], [8, 1]], 257/35831808],
[[[1, 6], [2, 7], [6, 3], [10, 1]], 8431/447897600],
[[[1, 6], [2, 7], [7, 1], [8, 1]], 29/3096576],
[[[1, 6], [2, 7], [7, 1], [10, 1]], 1/107520],
[[[1, 6], [2, 7], [8, 1], [14, 1]], 421/15482880],
[[[1, 6], [2, 7], [10, 1], [14, 1]], 26563/580608000],
[[[1, 6], [2, 9], [3, 1], [4, 3]], 23983/1114767360],
[[[1, 6], [2, 9], [3, 1], [6, 3]], 529639/5016453120],
[[[1, 6], [2, 9], [3, 1], [7, 1]], 1/2654208],
[[[1, 6], [2, 9], [3, 1], [9, 1]], 5/11943936],
[[[1, 6], [2, 9], [3, 1], [14, 1]], 23/1548288],
[[[1, 6], [2, 9], [3, 2], [4, 2]], 11/2211840],
[[[1, 6], [2, 9], [3, 2], [5, 1]], 13/132710400],
[[[1, 6], [2, 9], [3, 2], [6, 2]], 287011/3344302080],
[[[1, 6], [2, 9], [3, 2], [8, 1]], 7/106168320],
[[[1, 6], [2, 9], [3, 2], [10, 1]], 89/33177600],
[[[1, 6], [2, 9], [3, 3], [4, 1]], 11/59719680],
[[[1, 6], [2, 9], [3, 3], [6, 1]], 209/53084160],
[[[1, 6], [2, 9], [4, 1], [6, 3]], 337831/4180377600],
[[[1, 6], [2, 9], [4, 1], [7, 1]], 199/123863040],
[[[1, 6], [2, 9], [4, 1], [14, 1]], 14393/185794560],
[[[1, 6], [2, 9], [4, 2], [5, 1]], 11/552960],
[[[1, 6], [2, 9], [4, 2], [6, 2]], 15773/68812800],
[[[1, 6], [2, 9], [4, 2], [8, 1]], 294467/2477260800],
[[[1, 6], [2, 9], [4, 2], [10, 1]], 762401/4644864000],
[[[1, 6], [2, 9], [4, 2], [12, 1]], 1/138240],
[[[1, 6], [2, 9], [4, 3], [6, 1]], 2273/10616832],
[[[1, 6], [2, 9], [5, 1], [6, 2]], 17/1327104],
[[[1, 6], [2, 9], [5, 1], [8, 1]], 7/29491200],
[[[1, 6], [2, 9], [5, 1], [10, 1]], 35111/1327104000],
[[[1, 6], [2, 9], [6, 1], [7, 1]], 1/1548288],
[[[1, 6], [2, 9], [6, 1], [14, 1]], 21533/464486400],
[[[1, 6], [2, 9], [6, 1], [18, 1]], 23513/1791590400],
[[[1, 6], [2, 9], [6, 2], [8, 1]], 527/47775744],
[[[1, 6], [2, 9], [6, 2], [10, 1]], 118649/2090188800],
[[[1, 6], [2, 9], [8, 1], [10, 1]], 1447/154828800],
[[[1, 6], [2, 11], [3, 1], [4, 2]], 10547/3715891200],
[[[1, 6], [2, 11], [3, 1], [5, 1]], 1/530841600],
[[[1, 6], [2, 11], [3, 1], [6, 2]], 448171/16721510400],
[[[1, 6], [2, 11], [3, 1], [8, 1]], 167/1857945600],
[[[1, 6], [2, 11], [3, 1], [10, 1]], 1597/696729600],
[[[1, 6], [2, 11], [3, 2], [4, 1]], 533/1651507200],
[[[1, 6], [2, 11], [3, 2], [6, 1]], 231709/100329062400],
[[[1, 6], [2, 11], [4, 1], [5, 1]], 15727/12386304000],
[[[1, 6], [2, 11], [4, 1], [6, 2]], 24467239/501645312000],
[[[1, 6], [2, 11], [4, 1], [8, 1]], 560011/89181388800],
[[[1, 6], [2, 11], [4, 1], [10, 1]], 493141/19906560000],
[[[1, 6], [2, 11], [4, 1], [12, 1]], 167/928972800],
[[[1, 6], [2, 11], [4, 2], [6, 1]], 522311/9289728000],
[[[1, 6], [2, 11], [5, 1], [6, 1]], 17/11612160],
[[[1, 6], [2, 11], [6, 1], [8, 1]], 479/250822656],
[[[1, 6], [2, 11], [6, 1], [10, 1]], 4719437/250822656000],
[[[1, 6], [2, 13], [3, 1], [4, 1]], 130807/735746457600],
[[[1, 6], [2, 13], [3, 1], [6, 1]], 715129/706316599296],
[[[1, 6], [2, 13], [4, 1], [6, 1]], 5306261/1103619686400],
[[[1, 7], [2, 2], [3, 1], [5, 3]], 127/576000],
[[[1, 7], [2, 2], [3, 1], [7, 2]], 5/14112],
[[[1, 7], [2, 2], [3, 2], [11, 1]], 109/675840],
[[[1, 7], [2, 2], [3, 3], [4, 4]], 269/29859840],
[[[1, 7], [2, 2], [3, 3], [5, 2]], 937/6220800],
[[[1, 7], [2, 2], [3, 3], [6, 4]], 1/995328],
[[[1, 7], [2, 2], [3, 4], [4, 3]], 61/3981312],
[[[1, 7], [2, 2], [3, 4], [6, 3]], 1/248832],
[[[1, 7], [2, 2], [3, 4], [7, 1]], 13/124416],
[[[1, 7], [2, 2], [3, 4], [9, 1]], 767/4976640],
[[[1, 7], [2, 2], [3, 5], [4, 2]], 73/2985984],
[[[1, 7], [2, 2], [3, 5], [5, 1]], 61/3732480],
[[[1, 7], [2, 2], [3, 5], [6, 2]], 1819/26873856],
[[[1, 7], [2, 2], [3, 5], [8, 1]], 5/1492992],
[[[1, 7], [2, 2], [3, 5], [10, 1]], 1/466560],
[[[1, 7], [2, 2], [3, 6], [4, 1]], 35/2985984],
[[[1, 7], [2, 2], [3, 6], [6, 1]], 101/2519424],
[[[1, 7], [2, 2], [4, 1], [5, 3]], 13/61440],
[[[1, 7], [2, 2], [4, 1], [7, 2]], 1/5880],
[[[1, 7], [2, 2], [4, 2], [11, 1]], 21/450560],
[[[1, 7], [2, 2], [4, 2], [22, 1]], 1/1351680],
[[[1, 7], [2, 2], [4, 3], [5, 2]], 29/1728000],
[[[1, 7], [2, 2], [4, 3], [8, 2]], 31/1474560],
[[[1, 7], [2, 2], [4, 4], [7, 1]], 7/2211840],
[[[1, 7], [2, 2], [5, 1], [11, 1]], 61/460800],
[[[1, 7], [2, 2], [5, 2], [7, 1]], 617/2304000],
[[[1, 7], [2, 2], [5, 3], [6, 1]], 1/288000],
[[[1, 7], [2, 2], [6, 2], [11, 1]], 1/1140480],
[[[1, 7], [2, 2], [8, 1], [11, 1]], 17/1013760],
[[[1, 7], [2, 2], [10, 1], [11, 1]], 1/316800],
[[[1, 7], [2, 4], [3, 1], [4, 5]], 181/8847360],
[[[1, 7], [2, 4], [3, 1], [6, 5]], 7/1074954240],
[[[1, 7], [2, 4], [3, 1], [11, 1]], 79/760320],
[[[1, 7], [2, 4], [3, 1], [22, 1]], 1/304128],
[[[1, 7], [2, 4], [3, 2], [4, 4]], 2533/21233664],
[[[1, 7], [2, 4], [3, 2], [5, 2]], 1951/11059200],
[[[1, 7], [2, 4], [3, 2], [6, 4]], 83/19906560],
[[[1, 7], [2, 4], [3, 3], [4, 3]], 1921/8957952],
[[[1, 7], [2, 4], [3, 3], [6, 3]], 11389/119439360],
[[[1, 7], [2, 4], [3, 3], [7, 1]], 7027/69672960],
[[[1, 7], [2, 4], [3, 3], [9, 1]], 4879/29859840],
[[[1, 7], [2, 4], [3, 4], [4, 2]], 5141/47775744],
[[[1, 7], [2, 4], [3, 4], [5, 1]], 6143/179159040],
[[[1, 7], [2, 4], [3, 4], [6, 2]], 150487/358318080],
[[[1, 7], [2, 4], [3, 4], [8, 1]], 79/5971968],
[[[1, 7], [2, 4], [3, 4], [10, 1]], 23/1244160],
[[[1, 7], [2, 4], [3, 5], [4, 1]], 103/8957952],
[[[1, 7], [2, 4], [3, 5], [6, 1]], 2999/53747712],
[[[1, 7], [2, 4], [4, 1], [11, 1]], 2069/12165120],
[[[1, 7], [2, 4], [4, 1], [22, 1]], 3/450560],
[[[1, 7], [2, 4], [4, 2], [5, 2]], 529/1228800],
[[[1, 7], [2, 4], [4, 2], [6, 4]], 7/238878720],
[[[1, 7], [2, 4], [4, 2], [8, 2]], 221/1474560],
[[[1, 7], [2, 4], [4, 2], [10, 2]], 13/6144000],
[[[1, 7], [2, 4], [4, 3], [6, 3]], 1/9953280],
[[[1, 7], [2, 4], [4, 3], [7, 1]], 7867/30965760],
[[[1, 7], [2, 4], [4, 3], [14, 1]], 1/163840],
[[[1, 7], [2, 4], [4, 4], [5, 1]], 763/9830400],
[[[1, 7], [2, 4], [4, 4], [6, 2]], 1/5308416],
[[[1, 7], [2, 4], [4, 4], [8, 1]], 3089/17694720],
[[[1, 7], [2, 4], [4, 4], [10, 1]], 197/22118400],
[[[1, 7], [2, 4], [4, 4], [12, 1]], 49/1658880],
[[[1, 7], [2, 4], [5, 1], [10, 2]], 407/9216000],
[[[1, 7], [2, 4], [5, 2], [6, 2]], 1/86400],
[[[1, 7], [2, 4], [5, 2], [8, 1]], 277/6912000],
[[[1, 7], [2, 4], [5, 2], [10, 1]], 487/1843200],
[[[1, 7], [2, 4], [6, 1], [11, 1]], 17/570240],
[[[1, 7], [2, 4], [6, 1], [22, 1]], 1/1013760],
[[[1, 7], [2, 4], [6, 2], [10, 2]], 1/165888000],
[[[1, 7], [2, 4], [6, 3], [14, 1]], 1/69672960],
[[[1, 7], [2, 4], [6, 3], [18, 1]], 13/29859840],
[[[1, 7], [2, 4], [8, 1], [10, 2]], 1/1843200],
[[[1, 7], [2, 6], [3, 1], [4, 4]], 2419/10616832],
[[[1, 7], [2, 6], [3, 1], [5, 2]], 3781/82944000],
[[[1, 7], [2, 6], [3, 1], [6, 4]], 953/134369280],
[[[1, 7], [2, 6], [3, 1], [10, 2]], 7/1382400],
[[[1, 7], [2, 6], [3, 2], [4, 3]], 12373/53084160],
[[[1, 7], [2, 6], [3, 2], [6, 3]], 2237/19906560],
[[[1, 7], [2, 6], [3, 2], [7, 1]], 5293/116121600],
[[[1, 7], [2, 6], [3, 2], [9, 1]], 8533/149299200],
[[[1, 7], [2, 6], [3, 2], [14, 1]], 1/387072],
[[[1, 7], [2, 6], [3, 3], [4, 2]], 10057/132710400],
[[[1, 7], [2, 6], [3, 3], [5, 1]], 8431/447897600],
[[[1, 7], [2, 6], [3, 3], [6, 2]], 12233/44789760],
[[[1, 7], [2, 6], [3, 3], [8, 1]], 257/35831808],
[[[1, 7], [2, 6], [3, 3], [10, 1]], 19/2488320],
[[[1, 7], [2, 6], [3, 4], [4, 1]], 10807/716636160],
[[[1, 7], [2, 6], [3, 4], [6, 1]], 953/17915904],
[[[1, 7], [2, 6], [4, 1], [5, 2]], 1001/8640000],
[[[1, 7], [2, 6], [4, 1], [6, 4]], 97/79626240],
[[[1, 7], [2, 6], [4, 1], [8, 2]], 1/11520],
[[[1, 7], [2, 6], [4, 1], [10, 2]], 677/27648000],
[[[1, 7], [2, 6], [4, 2], [6, 3]], 1249/119439360],
[[[1, 7], [2, 6], [4, 2], [7, 1]], 36557/154828800],
[[[1, 7], [2, 6], [4, 2], [14, 1]], 1261/17203200],
[[[1, 7], [2, 6], [4, 3], [5, 1]], 14879/44236800],
[[[1, 7], [2, 6], [4, 3], [6, 2]], 377/8847360],
[[[1, 7], [2, 6], [4, 3], [8, 1]], 299339/530841600],
[[[1, 7], [2, 6], [4, 3], [10, 1]], 3727/22118400],
[[[1, 7], [2, 6], [4, 3], [12, 1]], 35/442368],
[[[1, 7], [2, 6], [4, 4], [6, 1]], 5651/53084160],
[[[1, 7], [2, 6], [5, 1], [7, 1]], 26563/580608000],
[[[1, 7], [2, 6], [5, 1], [14, 1]], 1/107520],
[[[1, 7], [2, 6], [5, 2], [6, 1]], 19/921600],
[[[1, 7], [2, 6], [6, 1], [10, 2]], 17/3317760],
[[[1, 7], [2, 6], [6, 2], [7, 1]], 11/1161216],
[[[1, 7], [2, 6], [6, 2], [14, 1]], 149/23224320],
[[[1, 7], [2, 6], [6, 2], [18, 1]], 391/29859840],
[[[1, 7], [2, 6], [6, 3], [8, 1]], 19/23887872],
[[[1, 7], [2, 6], [6, 3], [10, 1]], 163/149299200],
[[[1, 7], [2, 6], [7, 1], [8, 1]], 421/15482880],
[[[1, 7], [2, 6], [7, 1], [10, 1]], 11/322560],
[[[1, 7], [2, 6], [8, 1], [14, 1]], 29/3096576],
[[[1, 7], [2, 6], [10, 1], [14, 1]], 59/7741440],
[[[1, 7], [2, 8], [3, 1], [4, 3]], 76427/796262400],
[[[1, 7], [2, 8], [3, 1], [6, 3]], 164083/2687385600],
[[[1, 7], [2, 8], [3, 1], [7, 1]], 193/37158912],
[[[1, 7], [2, 8], [3, 1], [9, 1]], 287/79626240],
[[[1, 7], [2, 8], [3, 1], [14, 1]], 391/23224320],
[[[1, 7], [2, 8], [3, 2], [4, 2]], 13933/424673280],
[[[1, 7], [2, 8], [3, 2], [5, 1]], 359/132710400],
[[[1, 7], [2, 8], [3, 2], [6, 2]], 33401/265420800],
[[[1, 7], [2, 8], [3, 2], [8, 1]], 31/26542080],
[[[1, 7], [2, 8], [3, 2], [10, 1]], 107/33177600],
[[[1, 7], [2, 8], [3, 3], [4, 1]], 1501/358318080],
[[[1, 7], [2, 8], [3, 3], [6, 1]], 3287/179159040],
[[[1, 7], [2, 8], [4, 1], [6, 3]], 9113/298598400],
[[[1, 7], [2, 8], [4, 1], [7, 1]], 43/2764800],
[[[1, 7], [2, 8], [4, 1], [14, 1]], 217/4147200],
[[[1, 7], [2, 8], [4, 2], [5, 1]], 137027/1769472000],
[[[1, 7], [2, 8], [4, 2], [6, 2]], 2477/19906560],
[[[1, 7], [2, 8], [4, 2], [8, 1]], 39649/212336640],
[[[1, 7], [2, 8], [4, 2], [10, 1]], 117539/774144000],
[[[1, 7], [2, 8], [4, 2], [12, 1]], 1/69120],
[[[1, 7], [2, 8], [4, 3], [6, 1]], 57353/265420800],
[[[1, 7], [2, 8], [5, 1], [6, 2]], 89/11059200],
[[[1, 7], [2, 8], [5, 1], [8, 1]], 53/22118400],
[[[1, 7], [2, 8], [5, 1], [10, 1]], 1087/26542080],
[[[1, 7], [2, 8], [6, 1], [7, 1]], 29/4644864],
[[[1, 7], [2, 8], [6, 1], [14, 1]], 1429/58060800],
[[[1, 7], [2, 8], [6, 1], [18, 1]], 1607/149299200],
[[[1, 7], [2, 8], [6, 2], [8, 1]], 491/79626240],
[[[1, 7], [2, 8], [6, 2], [10, 1]], 10739/497664000],
[[[1, 7], [2, 8], [8, 1], [10, 1]], 167/22118400],
[[[1, 7], [2, 10], [3, 1], [4, 2]], 4541/371589120],
[[[1, 7], [2, 10], [3, 1], [5, 1]], 61/530841600],
[[[1, 7], [2, 10], [3, 1], [6, 2]], 5823541/150493593600],
[[[1, 7], [2, 10], [3, 1], [8, 1]], 71/265420800],
[[[1, 7], [2, 10], [3, 1], [10, 1]], 191/38707200],
[[[1, 7], [2, 10], [3, 2], [4, 1]], 521/353894400],
[[[1, 7], [2, 10], [3, 2], [6, 1]], 2291/278691840],
[[[1, 7], [2, 10], [4, 1], [5, 1]], 13139/2654208000],
[[[1, 7], [2, 10], [4, 1], [6, 2]], 1106291/22295347200],
[[[1, 7], [2, 10], [4, 1], [8, 1]], 1264537/89181388800],
[[[1, 7], [2, 10], [4, 1], [10, 1]], 1861801/55738368000],
[[[1, 7], [2, 10], [4, 1], [12, 1]], 13/29491200],
[[[1, 7], [2, 10], [4, 2], [6, 1]], 297553/3344302080],
[[[1, 7], [2, 10], [5, 1], [6, 1]], 143/44236800],
[[[1, 7], [2, 10], [6, 1], [8, 1]], 6409/2229534720],
[[[1, 7], [2, 10], [6, 1], [10, 1]], 14743/796262400],
[[[1, 7], [2, 12], [3, 1], [4, 1]], 6511/7431782400],
[[[1, 7], [2, 12], [3, 1], [6, 1]], 1002283/331085905920],
[[[1, 7], [2, 12], [4, 1], [6, 1]], 793711/74317824000],
[[[1, 7], [3, 1], [4, 2], [11, 1]], 1/253440],
[[[1, 7], [3, 1], [5, 1], [11, 1]], 1/14080],
[[[1, 7], [3, 1], [5, 2], [7, 1]], 13/80640],
[[[1, 7], [3, 1], [5, 2], [9, 1]], 1/21600],
[[[1, 7], [3, 2], [4, 2], [5, 2]], 7/921600],
[[[1, 7], [3, 2], [7, 1], [9, 1]], 1/12960],
[[[1, 7], [3, 3], [4, 2], [7, 1]], 47/5806080],
[[[1, 7], [3, 3], [4, 2], [9, 1]], 19/2488320],
[[[1, 7], [3, 3], [5, 1], [7, 1]], 571/4354560],
[[[1, 7], [3, 3], [5, 1], [9, 1]], 7/103680],
[[[1, 7], [3, 4], [4, 2], [5, 1]], 83/14929920],
[[[1, 7], [3, 5], [4, 1], [8, 1]], 1/746496],
[[[1, 7], [4, 1], [8, 1], [11, 1]], 1/506880],
[[[1, 8], [2, 1], [3, 1], [5, 3]], 1/9216],
[[[1, 8], [2, 1], [3, 1], [7, 2]], 1/10080],
[[[1, 8], [2, 1], [3, 2], [11, 1]], 47/1013760],
[[[1, 8], [2, 1], [3, 3], [5, 2]], 299/2488320],
[[[1, 8], [2, 1], [3, 4], [4, 3]], 583/179159040],
[[[1, 8], [2, 1], [3, 4], [7, 1]], 137/1741824],
[[[1, 8], [2, 1], [3, 4], [9, 1]], 511/7464960],
[[[1, 8], [2, 1], [3, 5], [4, 2]], 1/373248],
[[[1, 8], [2, 1], [3, 5], [5, 1]], 61/1866240],
[[[1, 8], [2, 1], [3, 5], [8, 1]], 1/1492992],
[[[1, 8], [2, 1], [3, 6], [4, 1]], 211/35831808],
[[[1, 8], [2, 1], [3, 6], [6, 1]], 109/8957952],
[[[1, 8], [2, 1], [4, 1], [5, 3]], 13/307200],
[[[1, 8], [2, 1], [4, 1], [7, 2]], 1/70560],
[[[1, 8], [2, 1], [4, 2], [11, 1]], 7/4055040],
[[[1, 8], [2, 1], [4, 3], [5, 2]], 373/193536000],
[[[1, 8], [2, 1], [5, 1], [11, 1]], 71/2534400],
[[[1, 8], [2, 1], [5, 2], [7, 1]], 583/8064000],
[[[1, 8], [2, 1], [8, 1], [11, 1]], 1/1013760],
[[[1, 8], [2, 3], [3, 1], [4, 5]], 11/2949120],
[[[1, 8], [2, 3], [3, 1], [11, 1]], 67/1013760],
[[[1, 8], [2, 3], [3, 2], [4, 4]], 379/19906560],
[[[1, 8], [2, 3], [3, 2], [5, 2]], 14113/55296000],
[[[1, 8], [2, 3], [3, 2], [6, 4]], 1/39813120],
[[[1, 8], [2, 3], [3, 3], [4, 3]], 5737/59719680],
[[[1, 8], [2, 3], [3, 3], [6, 3]], 17579/2508226560],
[[[1, 8], [2, 3], [3, 3], [7, 1]], 38321/209018880],
[[[1, 8], [2, 3], [3, 3], [9, 1]], 1589/9953280],
[[[1, 8], [2, 3], [3, 4], [4, 2]], 18875/143327232],
[[[1, 8], [2, 3], [3, 4], [5, 1]], 371/4976640],
[[[1, 8], [2, 3], [3, 4], [6, 2]], 100309/537477120],
[[[1, 8], [2, 3], [3, 4], [8, 1]], 1117/89579520],
[[[1, 8], [2, 3], [3, 4], [10, 1]], 13/1244160],
[[[1, 8], [2, 3], [3, 5], [4, 1]], 223/4478976],
[[[1, 8], [2, 3], [3, 5], [6, 1]], 39667/358318080],
[[[1, 8], [2, 3], [4, 1], [11, 1]], 155/2433024],
[[[1, 8], [2, 3], [4, 1], [22, 1]], 1/4055040],
[[[1, 8], [2, 3], [4, 2], [5, 2]], 3641/18432000],
[[[1, 8], [2, 3], [4, 2], [8, 2]], 41/1474560],
[[[1, 8], [2, 3], [4, 2], [10, 2]], 1/12288000],
[[[1, 8], [2, 3], [4, 3], [7, 1]], 1303/30965760],
[[[1, 8], [2, 3], [4, 3], [14, 1]], 1/3440640],
[[[1, 8], [2, 3], [4, 4], [5, 1]], 359/38707200],
[[[1, 8], [2, 3], [4, 4], [6, 2]], 1/106168320],
[[[1, 8], [2, 3], [4, 4], [8, 1]], 89/5898240],
[[[1, 8], [2, 3], [4, 4], [10, 1]], 1/29491200],
[[[1, 8], [2, 3], [5, 1], [10, 2]], 17/9216000],
[[[1, 8], [2, 3], [5, 2], [6, 2]], 7/2592000],
[[[1, 8], [2, 3], [5, 2], [8, 1]], 3707/193536000],
[[[1, 8], [2, 3], [5, 2], [10, 1]], 4513/46080000],
[[[1, 8], [2, 3], [6, 1], [11, 1]], 7/1520640],
[[[1, 8], [2, 5], [3, 1], [4, 4]], 1049/7077888],
[[[1, 8], [2, 5], [3, 1], [5, 2]], 3233/27648000],
[[[1, 8], [2, 5], [3, 1], [6, 4]], 13/44789760],
[[[1, 8], [2, 5], [3, 1], [10, 2]], 1/2764800],
[[[1, 8], [2, 5], [3, 2], [4, 3]], 54497/159252480],
[[[1, 8], [2, 5], [3, 2], [6, 3]], 137/4976640],
[[[1, 8], [2, 5], [3, 2], [7, 1]], 377/3317760],
[[[1, 8], [2, 5], [3, 2], [9, 1]], 1709/19906560],
[[[1, 8], [2, 5], [3, 3], [4, 2]], 409/1658880],
[[[1, 8], [2, 5], [3, 3], [5, 1]], 10573/149299200],
[[[1, 8], [2, 5], [3, 3], [6, 2]], 162419/537477120],
[[[1, 8], [2, 5], [3, 3], [8, 1]], 2171/119439360],
[[[1, 8], [2, 5], [3, 3], [10, 1]], 43/1866240],
[[[1, 8], [2, 5], [3, 4], [4, 1]], 194537/3583180800],
[[[1, 8], [2, 5], [3, 4], [6, 1]], 33497/268738560],
[[[1, 8], [2, 5], [4, 1], [5, 2]], 380969/1935360000],
[[[1, 8], [2, 5], [4, 1], [6, 4]], 7/716636160],
[[[1, 8], [2, 5], [4, 1], [8, 2]], 389/8847360],
[[[1, 8], [2, 5], [4, 1], [10, 2]], 1/1152000],
[[[1, 8], [2, 5], [4, 2], [6, 3]], 49/79626240],
[[[1, 8], [2, 5], [4, 2], [7, 1]], 2087/7741440],
[[[1, 8], [2, 5], [4, 2], [14, 1]], 17/2949120],
[[[1, 8], [2, 5], [4, 3], [5, 1]], 11401/44236800],
[[[1, 8], [2, 5], [4, 3], [6, 2]], 577/159252480],
[[[1, 8], [2, 5], [4, 3], [8, 1]], 69/262144],
[[[1, 8], [2, 5], [4, 3], [10, 1]], 1213/44236800],
[[[1, 8], [2, 5], [4, 3], [12, 1]], 11/442368],
[[[1, 8], [2, 5], [4, 4], [6, 1]], 1289/106168320],
[[[1, 8], [2, 5], [5, 1], [7, 1]], 277/2867200],
[[[1, 8], [2, 5], [5, 2], [6, 1]], 217/10368000],
[[[1, 8], [2, 5], [6, 1], [10, 2]], 7/55296000],
[[[1, 8], [2, 5], [6, 2], [7, 1]], 23/2903040],
[[[1, 8], [2, 5], [6, 2], [14, 1]], 5/18579456],
[[[1, 8], [2, 5], [6, 2], [18, 1]], 7/7962624],
[[[1, 8], [2, 5], [6, 3], [10, 1]], 1/199065600],
[[[1, 8], [2, 5], [7, 1], [8, 1]], 13/442368],
[[[1, 8], [2, 5], [7, 1], [10, 1]], 23/806400],
[[[1, 8], [2, 5], [8, 1], [14, 1]], 1/1032192],
[[[1, 8], [2, 5], [10, 1], [14, 1]], 13/51609600],
[[[1, 8], [2, 7], [3, 1], [4, 3]], 57353/265420800],
[[[1, 8], [2, 7], [3, 1], [6, 3]], 3287/179159040],
[[[1, 8], [2, 7], [3, 1], [7, 1]], 1429/58060800],
[[[1, 8], [2, 7], [3, 1], [9, 1]], 1607/149299200],
[[[1, 8], [2, 7], [3, 1], [14, 1]], 29/4644864],
[[[1, 8], [2, 7], [3, 2], [4, 2]], 2477/19906560],
[[[1, 8], [2, 7], [3, 2], [5, 1]], 10739/497664000],
[[[1, 8], [2, 7], [3, 2], [6, 2]], 33401/265420800],
[[[1, 8], [2, 7], [3, 2], [8, 1]], 491/79626240],
[[[1, 8], [2, 7], [3, 2], [10, 1]], 89/11059200],
[[[1, 8], [2, 7], [3, 3], [4, 1]], 9113/298598400],
[[[1, 8], [2, 7], [3, 3], [6, 1]], 164083/2687385600],
[[[1, 8], [2, 7], [4, 1], [6, 3]], 1501/358318080],
[[[1, 8], [2, 7], [4, 1], [7, 1]], 217/4147200],
[[[1, 8], [2, 7], [4, 1], [14, 1]], 43/2764800],
[[[1, 8], [2, 7], [4, 2], [5, 1]], 117539/774144000],
[[[1, 8], [2, 7], [4, 2], [6, 2]], 13933/424673280],
[[[1, 8], [2, 7], [4, 2], [8, 1]], 39649/212336640],
[[[1, 8], [2, 7], [4, 2], [10, 1]], 137027/1769472000],
[[[1, 8], [2, 7], [4, 2], [12, 1]], 1/69120],
[[[1, 8], [2, 7], [4, 3], [6, 1]], 76427/796262400],
[[[1, 8], [2, 7], [5, 1], [6, 2]], 107/33177600],
[[[1, 8], [2, 7], [5, 1], [8, 1]], 167/22118400],
[[[1, 8], [2, 7], [5, 1], [10, 1]], 1087/26542080],
[[[1, 8], [2, 7], [6, 1], [7, 1]], 391/23224320],
[[[1, 8], [2, 7], [6, 1], [14, 1]], 193/37158912],
[[[1, 8], [2, 7], [6, 1], [18, 1]], 287/79626240],
[[[1, 8], [2, 7], [6, 2], [8, 1]], 31/26542080],
[[[1, 8], [2, 7], [6, 2], [10, 1]], 359/132710400],
[[[1, 8], [2, 7], [8, 1], [10, 1]], 53/22118400],
[[[1, 8], [2, 9], [3, 1], [4, 2]], 15883/424673280],
[[[1, 8], [2, 9], [3, 1], [5, 1]], 109/58982400],
[[[1, 8], [2, 9], [3, 1], [6, 2]], 27271/836075520],
[[[1, 8], [2, 9], [3, 1], [8, 1]], 11/13271040],
[[[1, 8], [2, 9], [3, 1], [10, 1]], 349/66355200],
[[[1, 8], [2, 9], [3, 2], [4, 1]], 8851/1274019840],
[[[1, 8], [2, 9], [3, 2], [6, 1]], 30431/1592524800],
[[[1, 8], [2, 9], [4, 1], [5, 1]], 23039/1769472000],
[[[1, 8], [2, 9], [4, 1], [6, 2]], 15509/597196800],
[[[1, 8], [2, 9], [4, 1], [8, 1]], 9787/471859200],
[[[1, 8], [2, 9], [4, 1], [10, 1]], 78559/3096576000],
[[[1, 8], [2, 9], [4, 1], [12, 1]], 11/17694720],
[[[1, 8], [2, 9], [4, 2], [6, 1]], 366841/4954521600],
[[[1, 8], [2, 9], [5, 1], [6, 1]], 137/33177600],
[[[1, 8], [2, 9], [6, 1], [8, 1]], 229/106168320],
[[[1, 8], [2, 9], [6, 1], [10, 1]], 8191/884736000],
[[[1, 8], [2, 11], [3, 1], [4, 1]], 979/371589120],
[[[1, 8], [2, 11], [3, 1], [6, 1]], 21447631/4013162496000],
[[[1, 8], [2, 11], [4, 1], [6, 1]], 5398711/401316249600],
[[[1, 9], [2, 2], [3, 1], [11, 1]], 1/56320],
[[[1, 9], [2, 2], [3, 2], [4, 4]], 439/222953472],
[[[1, 9], [2, 2], [3, 2], [5, 2]], 189431/1161216000],
[[[1, 9], [2, 2], [3, 3], [4, 3]], 341/41803776],
[[[1, 9], [2, 2], [3, 3], [6, 3]], 1/39813120],
[[[1, 9], [2, 2], [3, 3], [7, 1]], 8191/69672960],
[[[1, 9], [2, 2], [3, 3], [9, 1]], 227/3317760],
[[[1, 9], [2, 2], [3, 4], [4, 2]], 8453/238878720],
[[[1, 9], [2, 2], [3, 4], [5, 1]], 23959/298598400],
[[[1, 9], [2, 2], [3, 4], [6, 2]], 37447/1504935936],
[[[1, 9], [2, 2], [3, 4], [8, 1]], 253/59719680],
[[[1, 9], [2, 2], [3, 4], [10, 1]], 29/18662400],
[[[1, 9], [2, 2], [3, 5], [4, 1]], 209/5971968],
[[[1, 9], [2, 2], [3, 5], [6, 1]], 5561/107495424],
[[[1, 9], [2, 2], [4, 1], [11, 1]], 83/9461760],
[[[1, 9], [2, 2], [4, 2], [5, 2]], 299/10752000],
[[[1, 9], [2, 2], [4, 2], [8, 2]], 7/2949120],
[[[1, 9], [2, 2], [4, 3], [7, 1]], 221/92897280],
[[[1, 9], [2, 2], [4, 4], [5, 1]], 809/928972800],
[[[1, 9], [2, 2], [4, 4], [8, 1]], 19/26542080],
[[[1, 9], [2, 2], [5, 2], [6, 2]], 11/72576000],
[[[1, 9], [2, 2], [5, 2], [8, 1]], 109/32256000],
[[[1, 9], [2, 2], [5, 2], [10, 1]], 5431/322560000],
[[[1, 9], [2, 2], [6, 1], [11, 1]], 1/4561920],
[[[1, 9], [2, 4], [3, 1], [4, 4]], 21319/743178240],
[[[1, 9], [2, 4], [3, 1], [5, 2]], 1079/8064000],
[[[1, 9], [2, 4], [3, 2], [4, 3]], 71341/477757440],
[[[1, 9], [2, 4], [3, 2], [6, 3]], 1591/418037760],
[[[1, 9], [2, 4], [3, 2], [7, 1]], 421/3096576],
[[[1, 9], [2, 4], [3, 2], [9, 1]], 11609/179159040],
[[[1, 9], [2, 4], [3, 3], [4, 2]], 55547/238878720],
[[[1, 9], [2, 4], [3, 3], [5, 1]], 710401/6270566400],
[[[1, 9], [2, 4], [3, 3], [6, 2]], 41023/313528320],
[[[1, 9], [2, 4], [3, 3], [8, 1]], 661/41803776],
[[[1, 9], [2, 4], [3, 3], [10, 1]], 83/6220800],
[[[1, 9], [2, 4], [3, 4], [4, 1]], 14909/143327232],
[[[1, 9], [2, 4], [3, 4], [6, 1]], 20077/134369280],
[[[1, 9], [2, 4], [4, 1], [5, 2]], 127/864000],
[[[1, 9], [2, 4], [4, 1], [8, 2]], 293/26542080],
[[[1, 9], [2, 4], [4, 1], [10, 2]], 1/36864000],
[[[1, 9], [2, 4], [4, 2], [7, 1]], 193/1720320],
[[[1, 9], [2, 4], [4, 2], [14, 1]], 1/4128768],
[[[1, 9], [2, 4], [4, 3], [5, 1]], 4793/61931520],
[[[1, 9], [2, 4], [4, 3], [6, 2]], 23/318504960],
[[[1, 9], [2, 4], [4, 3], [8, 1]], 25721/495452160],
[[[1, 9], [2, 4], [4, 3], [10, 1]], 1097/619315200],
[[[1, 9], [2, 4], [4, 3], [12, 1]], 13/5160960],
[[[1, 9], [2, 4], [4, 4], [6, 1]], 119/106168320],
[[[1, 9], [2, 4], [5, 1], [7, 1]], 20339/232243200],
[[[1, 9], [2, 4], [5, 2], [6, 1]], 2027/290304000],
[[[1, 9], [2, 4], [6, 2], [7, 1]], 1/414720],
[[[1, 9], [2, 4], [6, 2], [18, 1]], 1/119439360],
[[[1, 9], [2, 4], [7, 1], [8, 1]], 671/46448640],
[[[1, 9], [2, 4], [7, 1], [10, 1]], 1/115200],
[[[1, 9], [2, 4], [10, 1], [14, 1]], 1/154828800],
[[[1, 9], [2, 6], [3, 1], [4, 3]], 2273/10616832],
[[[1, 9], [2, 6], [3, 1], [6, 3]], 209/53084160],
[[[1, 9], [2, 6], [3, 1], [7, 1]], 21533/464486400],
[[[1, 9], [2, 6], [3, 1], [9, 1]], 23513/1791590400],
[[[1, 9], [2, 6], [3, 1], [14, 1]], 1/1548288],
[[[1, 9], [2, 6], [3, 2], [4, 2]], 15773/68812800],
[[[1, 9], [2, 6], [3, 2], [5, 1]], 118649/2090188800],
[[[1, 9], [2, 6], [3, 2], [6, 2]], 287011/3344302080],
[[[1, 9], [2, 6], [3, 2], [8, 1]], 527/47775744],
[[[1, 9], [2, 6], [3, 2], [10, 1]], 17/1327104],
[[[1, 9], [2, 6], [3, 3], [4, 1]], 337831/4180377600],
[[[1, 9], [2, 6], [3, 3], [6, 1]], 529639/5016453120],
[[[1, 9], [2, 6], [4, 1], [6, 3]], 11/59719680],
[[[1, 9], [2, 6], [4, 1], [7, 1]], 14393/185794560],
[[[1, 9], [2, 6], [4, 1], [14, 1]], 199/123863040],
[[[1, 9], [2, 6], [4, 2], [5, 1]], 762401/4644864000],
[[[1, 9], [2, 6], [4, 2], [6, 2]], 11/2211840],
[[[1, 9], [2, 6], [4, 2], [8, 1]], 294467/2477260800],
[[[1, 9], [2, 6], [4, 2], [10, 1]], 11/552960],
[[[1, 9], [2, 6], [4, 2], [12, 1]], 1/138240],
[[[1, 9], [2, 6], [4, 3], [6, 1]], 23983/1114767360],
[[[1, 9], [2, 6], [5, 1], [6, 2]], 89/33177600],
[[[1, 9], [2, 6], [5, 1], [8, 1]], 1447/154828800],
[[[1, 9], [2, 6], [5, 1], [10, 1]], 35111/1327104000],
[[[1, 9], [2, 6], [6, 1], [7, 1]], 23/1548288],
[[[1, 9], [2, 6], [6, 1], [14, 1]], 1/2654208],
[[[1, 9], [2, 6], [6, 1], [18, 1]], 5/11943936],
[[[1, 9], [2, 6], [6, 2], [8, 1]], 7/106168320],
[[[1, 9], [2, 6], [6, 2], [10, 1]], 13/132710400],
[[[1, 9], [2, 6], [8, 1], [10, 1]], 7/29491200],
[[[1, 9], [2, 8], [3, 1], [4, 2]], 366841/4954521600],
[[[1, 9], [2, 8], [3, 1], [5, 1]], 8191/884736000],
[[[1, 9], [2, 8], [3, 1], [6, 2]], 30431/1592524800],
[[[1, 9], [2, 8], [3, 1], [8, 1]], 229/106168320],
[[[1, 9], [2, 8], [3, 1], [10, 1]], 137/33177600],
[[[1, 9], [2, 8], [3, 2], [4, 1]], 15509/597196800],
[[[1, 9], [2, 8], [3, 2], [6, 1]], 27271/836075520],
[[[1, 9], [2, 8], [4, 1], [5, 1]], 78559/3096576000],
[[[1, 9], [2, 8], [4, 1], [6, 2]], 8851/1274019840],
[[[1, 9], [2, 8], [4, 1], [8, 1]], 9787/471859200],
[[[1, 9], [2, 8], [4, 1], [10, 1]], 23039/1769472000],
[[[1, 9], [2, 8], [4, 1], [12, 1]], 11/17694720],
[[[1, 9], [2, 8], [4, 2], [6, 1]], 15883/424673280],
[[[1, 9], [2, 8], [5, 1], [6, 1]], 349/66355200],
[[[1, 9], [2, 8], [6, 1], [8, 1]], 11/13271040],
[[[1, 9], [2, 8], [6, 1], [10, 1]], 109/58982400],
[[[1, 9], [2, 10], [3, 1], [4, 1]], 12127/2123366400],
[[[1, 9], [2, 10], [3, 1], [6, 1]], 1098581/178362777600],
[[[1, 9], [2, 10], [4, 1], [6, 1]], 18271/1783627776],
[[[1, 9], [3, 1], [4, 2], [5, 2]], 3/3584000],
[[[1, 9], [3, 1], [7, 1], [9, 1]], 1/544320],
[[[1, 9], [3, 2], [4, 2], [7, 1]], 11/7741440],
[[[1, 9], [3, 2], [4, 2], [9, 1]], 5/5971968],
[[[1, 9], [3, 2], [5, 1], [7, 1]], 14401/406425600],
[[[1, 9], [3, 2], [5, 1], [9, 1]], 439/29030400],
[[[1, 9], [3, 3], [4, 2], [5, 1]], 337/209018880],
[[[1, 9], [3, 4], [4, 1], [8, 1]], 29/29859840],
[[[1, 9], [4, 1], [5, 2], [8, 1]], 11/32256000],
[[[1, 9], [4, 2], [5, 1], [7, 1]], 1/5529600],
[[[1, 10], [2, 1], [3, 1], [11, 1]], 13/7096320],
[[[1, 10], [2, 1], [3, 2], [5, 2]], 45859/1161216000],
[[[1, 10], [2, 1], [3, 3], [4, 3]], 721/1074954240],
[[[1, 10], [2, 1], [3, 3], [7, 1]], 13183/487710720],
[[[1, 10], [2, 1], [3, 3], [9, 1]], 841/69672960],
[[[1, 10], [2, 1], [3, 4], [4, 2]], 197/185794560],
[[[1, 10], [2, 1], [3, 4], [5, 1]], 3967/149299200],
[[[1, 10], [2, 1], [3, 4], [8, 1]], 29/59719680],
[[[1, 10], [2, 1], [3, 5], [4, 1]], 31/4976640],
[[[1, 10], [2, 1], [3, 5], [6, 1]], 2491/358318080],
[[[1, 10], [2, 1], [4, 1], [11, 1]], 1/2580480],
[[[1, 10], [2, 1], [4, 2], [5, 2]], 131/387072000],
[[[1, 10], [2, 1], [4, 2], [8, 2]], 1/8847360],
[[[1, 10], [2, 1], [4, 3], [7, 1]], 61/464486400],
[[[1, 10], [2, 1], [5, 2], [8, 1]], 11/64512000],
[[[1, 10], [2, 1], [5, 2], [10, 1]], 19/21504000],
[[[1, 10], [2, 3], [3, 1], [4, 4]], 373/167215104],
[[[1, 10], [2, 3], [3, 1], [5, 2]], 14551/193536000],
[[[1, 10], [2, 3], [3, 2], [4, 3]], 10993/557383680],
[[[1, 10], [2, 3], [3, 2], [6, 3]], 169/940584960],
[[[1, 10], [2, 3], [3, 2], [7, 1]], 5141/69672960],
[[[1, 10], [2, 3], [3, 2], [9, 1]], 1049/41803776],
[[[1, 10], [2, 3], [3, 3], [4, 2]], 180149/2508226560],
[[[1, 10], [2, 3], [3, 3], [5, 1]], 93367/1045094400],
[[[1, 10], [2, 3], [3, 3], [6, 2]], 84299/3762339840],
[[[1, 10], [2, 3], [3, 3], [8, 1]], 6257/1074954240],
[[[1, 10], [2, 3], [3, 3], [10, 1]], 19/7257600],
[[[1, 10], [2, 3], [3, 4], [4, 1]], 47783/716636160],
[[[1, 10], [2, 3], [3, 4], [6, 1]], 7187/104509440],
[[[1, 10], [2, 3], [4, 1], [5, 2]], 3119/64512000],
[[[1, 10], [2, 3], [4, 1], [8, 2]], 23/17694720],
[[[1, 10], [2, 3], [4, 2], [7, 1]], 793/43352064],
[[[1, 10], [2, 3], [4, 3], [5, 1]], 4121/464486400],
[[[1, 10], [2, 3], [4, 3], [8, 1]], 2263/495452160],
[[[1, 10], [2, 3], [4, 3], [10, 1]], 1/15482880],
[[[1, 10], [2, 3], [4, 3], [12, 1]], 1/9289728],
[[[1, 10], [2, 3], [5, 1], [7, 1]], 3359/90316800],
[[[1, 10], [2, 3], [5, 2], [6, 1]], 131/145152000],
[[[1, 10], [2, 3], [6, 2], [7, 1]], 1/3483648],
[[[1, 10], [2, 3], [7, 1], [8, 1]], 781/232243200],
[[[1, 10], [2, 3], [7, 1], [10, 1]], 1/967680],
[[[1, 10], [2, 5], [3, 1], [4, 3]], 98047/1114767360],
[[[1, 10], [2, 5], [3, 1], [6, 3]], 53/74317824],
[[[1, 10], [2, 5], [3, 1], [7, 1]], 5953/139345920],
[[[1, 10], [2, 5], [3, 1], [9, 1]], 61/7464960],
[[[1, 10], [2, 5], [3, 2], [4, 2]], 16217/92897280],
[[[1, 10], [2, 5], [3, 2], [5, 1]], 3931/55738368],
[[[1, 10], [2, 5], [3, 2], [6, 2]], 387911/12039487488],
[[[1, 10], [2, 5], [3, 2], [8, 1]], 1873/222953472],
[[[1, 10], [2, 5], [3, 2], [10, 1]], 169/24883200],
[[[1, 10], [2, 5], [3, 3], [4, 1]], 3873691/37623398400],
[[[1, 10], [2, 5], [3, 3], [6, 1]], 468661/5016453120],
[[[1, 10], [2, 5], [4, 1], [7, 1]], 33959/663552000],
[[[1, 10], [2, 5], [4, 1], [14, 1]], 1/17694720],
[[[1, 10], [2, 5], [4, 2], [5, 1]], 1277/14515200],
[[[1, 10], [2, 5], [4, 2], [6, 2]], 673/1486356480],
[[[1, 10], [2, 5], [4, 2], [8, 1]], 42109/990904320],
[[[1, 10], [2, 5], [4, 2], [10, 1]], 229/82575360],
[[[1, 10], [2, 5], [4, 2], [12, 1]], 59/30965760],
[[[1, 10], [2, 5], [4, 3], [6, 1]], 25/6967296],
[[[1, 10], [2, 5], [5, 1], [6, 2]], 61/58060800],
[[[1, 10], [2, 5], [5, 1], [8, 1]], 5063/928972800],
[[[1, 10], [2, 5], [5, 1], [10, 1]], 22289/2322432000],
[[[1, 10], [2, 5], [6, 1], [7, 1]], 79/13934592],
[[[1, 10], [2, 5], [6, 1], [14, 1]], 1/185794560],
[[[1, 10], [2, 5], [6, 1], [18, 1]], 1/79626240],
[[[1, 10], [2, 7], [3, 1], [4, 2]], 297553/3344302080],
[[[1, 10], [2, 7], [3, 1], [5, 1]], 14743/796262400],
[[[1, 10], [2, 7], [3, 1], [6, 2]], 2291/278691840],
[[[1, 10], [2, 7], [3, 1], [8, 1]], 6409/2229534720],
[[[1, 10], [2, 7], [3, 1], [10, 1]], 143/44236800],
[[[1, 10], [2, 7], [3, 2], [4, 1]], 1106291/22295347200],
[[[1, 10], [2, 7], [3, 2], [6, 1]], 5823541/150493593600],
[[[1, 10], [2, 7], [4, 1], [5, 1]], 1861801/55738368000],
[[[1, 10], [2, 7], [4, 1], [6, 2]], 521/353894400],
[[[1, 10], [2, 7], [4, 1], [8, 1]], 1264537/89181388800],
[[[1, 10], [2, 7], [4, 1], [10, 1]], 13139/2654208000],
[[[1, 10], [2, 7], [4, 1], [12, 1]], 13/29491200],
[[[1, 10], [2, 7], [4, 2], [6, 1]], 4541/371589120],
[[[1, 10], [2, 7], [5, 1], [6, 1]], 191/38707200],
[[[1, 10], [2, 7], [6, 1], [8, 1]], 71/265420800],
[[[1, 10], [2, 7], [6, 1], [10, 1]], 61/530841600],
[[[1, 10], [2, 9], [3, 1], [4, 1]], 18271/1783627776],
[[[1, 10], [2, 9], [3, 1], [6, 1]], 1098581/178362777600],
[[[1, 10], [2, 9], [4, 1], [6, 1]], 12127/2123366400],
[[[1, 11], [2, 2], [3, 1], [4, 4]], 1073/8360755200],
[[[1, 11], [2, 2], [3, 1], [5, 2]], 34471/1741824000],
[[[1, 11], [2, 2], [3, 2], [4, 3]], 16241/16721510400],
[[[1, 11], [2, 2], [3, 2], [7, 1]], 14723/812851200],
[[[1, 11], [2, 2], [3, 2], [9, 1]], 1681/348364800],
[[[1, 11], [2, 2], [3, 3], [4, 2]], 10817/1672151040],
[[[1, 11], [2, 2], [3, 3], [5, 1]], 95509/3135283200],
[[[1, 11], [2, 2], [3, 3], [6, 2]], 809/705438720],
[[[1, 11], [2, 2], [3, 3], [8, 1]], 1139/1254113280],
[[[1, 11], [2, 2], [3, 3], [10, 1]], 113/783820800],
[[[1, 11], [2, 2], [3, 4], [4, 1]], 25709/1672151040],
[[[1, 11], [2, 2], [3, 4], [6, 1]], 69749/5643509760],
[[[1, 11], [2, 2], [4, 1], [5, 2]], 1/151200],
[[[1, 11], [2, 2], [4, 1], [8, 2]], 1/17694720],
[[[1, 11], [2, 2], [4, 2], [7, 1]], 1289/1083801600],
[[[1, 11], [2, 2], [4, 3], [5, 1]], 4199/13934592000],
[[[1, 11], [2, 2], [4, 3], [8, 1]], 83/495452160],
[[[1, 11], [2, 2], [5, 1], [7, 1]], 10379/1354752000],
[[[1, 11], [2, 2], [5, 2], [6, 1]], 11/290304000],
[[[1, 11], [2, 2], [6, 2], [7, 1]], 1/87091200],
[[[1, 11], [2, 2], [7, 1], [8, 1]], 1/2867200],
[[[1, 11], [2, 2], [7, 1], [10, 1]], 1/24192000],
[[[1, 11], [2, 4], [3, 1], [4, 3]], 5449/358318080],
[[[1, 11], [2, 4], [3, 1], [6, 3]], 421/6270566400],
[[[1, 11], [2, 4], [3, 1], [7, 1]], 197737/9754214400],
[[[1, 11], [2, 4], [3, 1], [9, 1]], 7001/2508226560],
[[[1, 11], [2, 4], [3, 2], [4, 2]], 7157/127401984],
[[[1, 11], [2, 4], [3, 2], [5, 1]], 82231/1791590400],
[[[1, 11], [2, 4], [3, 2], [6, 2]], 199847/33443020800],
[[[1, 11], [2, 4], [3, 2], [8, 1]], 25531/8360755200],
[[[1, 11], [2, 4], [3, 2], [10, 1]], 341/232243200],
[[[1, 11], [2, 4], [3, 3], [4, 1]], 434311/7524679680],
[[[1, 11], [2, 4], [3, 3], [6, 1]], 884647/22574039040],
[[[1, 11], [2, 4], [4, 1], [7, 1]], 8839/541900800],
[[[1, 11], [2, 4], [4, 2], [5, 1]], 82813/3715891200],
[[[1, 11], [2, 4], [4, 2], [6, 2]], 1/55738368],
[[[1, 11], [2, 4], [4, 2], [8, 1]], 120151/14863564800],
[[[1, 11], [2, 4], [4, 2], [10, 1]], 73/331776000],
[[[1, 11], [2, 4], [4, 2], [12, 1]], 361/1393459200],
[[[1, 11], [2, 4], [4, 3], [6, 1]], 127/371589120],
[[[1, 11], [2, 4], [5, 1], [6, 2]], 127/696729600],
[[[1, 11], [2, 4], [5, 1], [8, 1]], 11129/6967296000],
[[[1, 11], [2, 4], [5, 1], [10, 1]], 5699/3096576000],
[[[1, 11], [2, 4], [6, 1], [7, 1]], 361/348364800],
[[[1, 11], [2, 6], [3, 1], [4, 2]], 522311/9289728000],
[[[1, 11], [2, 6], [3, 1], [5, 1]], 4719437/250822656000],
[[[1, 11], [2, 6], [3, 1], [6, 2]], 231709/100329062400],
[[[1, 11], [2, 6], [3, 1], [8, 1]], 479/250822656],
[[[1, 11], [2, 6], [3, 1], [10, 1]], 17/11612160],
[[[1, 11], [2, 6], [3, 2], [4, 1]], 24467239/501645312000],
[[[1, 11], [2, 6], [3, 2], [6, 1]], 448171/16721510400],
[[[1, 11], [2, 6], [4, 1], [5, 1]], 493141/19906560000],
[[[1, 11], [2, 6], [4, 1], [6, 2]], 533/1651507200],
[[[1, 11], [2, 6], [4, 1], [8, 1]], 560011/89181388800],
[[[1, 11], [2, 6], [4, 1], [10, 1]], 15727/12386304000],
[[[1, 11], [2, 6], [4, 1], [12, 1]], 167/928972800],
[[[1, 11], [2, 6], [4, 2], [6, 1]], 10547/3715891200],
[[[1, 11], [2, 6], [5, 1], [6, 1]], 1597/696729600],
[[[1, 11], [2, 6], [6, 1], [8, 1]], 167/1857945600],
[[[1, 11], [2, 6], [6, 1], [10, 1]], 1/530841600],
[[[1, 11], [2, 8], [3, 1], [4, 1]], 5398711/401316249600],
[[[1, 11], [2, 8], [3, 1], [6, 1]], 21447631/4013162496000],
[[[1, 11], [2, 8], [4, 1], [6, 1]], 979/371589120],
[[[1, 11], [3, 1], [4, 2], [7, 1]], 17/232243200],
[[[1, 11], [3, 1], [4, 2], [9, 1]], 1/59719680],
[[[1, 11], [3, 1], [5, 1], [7, 1]], 443/243855360],
[[[1, 11], [3, 1], [5, 1], [9, 1]], 19/58060800],
[[[1, 11], [3, 2], [4, 2], [5, 1]], 323/2090188800],
[[[1, 11], [3, 3], [4, 1], [8, 1]], 113/1254113280],
[[[1, 11], [4, 1], [7, 1], [8, 1]], 1/38707200],
[[[1, 12], [2, 1], [3, 1], [5, 2]], 793/348364800],
[[[1, 12], [2, 1], [3, 2], [4, 3]], 7177/157659955200],
[[[1, 12], [2, 1], [3, 2], [7, 1]], 509/270950400],
[[[1, 12], [2, 1], [3, 2], [9, 1]], 1739/4180377600],
[[[1, 12], [2, 1], [3, 3], [4, 2]], 739/6270566400],
[[[1, 12], [2, 1], [3, 3], [5, 1]], 77/17915904],
[[[1, 12], [2, 1], [3, 3], [8, 1]], 113/2508226560],
[[[1, 12], [2, 1], [3, 4], [4, 1]], 5053/5016453120],
[[[1, 12], [2, 1], [3, 4], [6, 1]], 83/125411328],
[[[1, 12], [2, 1], [4, 1], [5, 2]], 1/3440640],
[[[1, 12], [2, 1], [4, 2], [7, 1]], 31/928972800],
[[[1, 12], [2, 1], [4, 3], [5, 1]], 10709/919683072000],
[[[1, 12], [2, 1], [4, 3], [8, 1]], 1/212336640],
[[[1, 12], [2, 1], [5, 1], [7, 1]], 11777/16257024000],
[[[1, 12], [2, 1], [7, 1], [8, 1]], 1/77414400],
[[[1, 12], [2, 3], [3, 1], [4, 3]], 1319/1194393600],
[[[1, 12], [2, 3], [3, 1], [6, 3]], 37/16554295296],
[[[1, 12], [2, 3], [3, 1], [7, 1]], 461/91445760],
[[[1, 12], [2, 3], [3, 1], [9, 1]], 547/1045094400],
[[[1, 12], [2, 3], [3, 2], [4, 2]], 47311/6270566400],
[[[1, 12], [2, 3], [3, 2], [5, 1]], 158983/10450944000],
[[[1, 12], [2, 3], [3, 2], [6, 2]], 1634033/3310859059200],
[[[1, 12], [2, 3], [3, 2], [8, 1]], 149183/275904921600],
[[[1, 12], [2, 3], [3, 2], [10, 1]], 227/1741824000],
[[[1, 12], [2, 3], [3, 3], [4, 1]], 136459/9405849600],
[[[1, 12], [2, 3], [3, 3], [6, 1]], 29221/3762339840],
[[[1, 12], [2, 3], [4, 1], [7, 1]], 1403/541900800],
[[[1, 12], [2, 3], [4, 2], [5, 1]], 979/387072000],
[[[1, 12], [2, 3], [4, 2], [8, 1]], 11251/14863564800],
[[[1, 12], [2, 3], [4, 2], [10, 1]], 743/76640256000],
[[[1, 12], [2, 3], [4, 2], [12, 1]], 743/45984153600],
[[[1, 12], [2, 3], [4, 3], [6, 1]], 1/74317824],
[[[1, 12], [2, 3], [5, 1], [6, 2]], 73/5225472000],
[[[1, 12], [2, 3], [5, 1], [8, 1]], 54409/229920768000],
[[[1, 12], [2, 3], [5, 1], [10, 1]], 8201/46448640000],
[[[1, 12], [2, 3], [6, 1], [7, 1]], 31/348364800],
[[[1, 12], [2, 5], [3, 1], [4, 2]], 400997/22295347200],
[[[1, 12], [2, 5], [3, 1], [5, 1]], 887543/83607552000],
[[[1, 12], [2, 5], [3, 1], [6, 2]], 305113/827714764800],
[[[1, 12], [2, 5], [3, 1], [8, 1]], 5561/8360755200],
[[[1, 12], [2, 5], [3, 1], [10, 1]], 341/1045094400],
[[[1, 12], [2, 5], [3, 2], [4, 1]], 1194103/49049763840],
[[[1, 12], [2, 5], [3, 2], [6, 1]], 16725151/1655429529600],
[[[1, 12], [2, 5], [4, 1], [5, 1]], 90670957/9196830720000],
[[[1, 12], [2, 5], [4, 1], [6, 2]], 361/8360755200],
[[[1, 12], [2, 5], [4, 1], [8, 1]], 4938089/2942985830400],
[[[1, 12], [2, 5], [4, 1], [10, 1]], 2497/13934592000],
[[[1, 12], [2, 5], [4, 1], [12, 1]], 331/8360755200],
[[[1, 12], [2, 5], [4, 2], [6, 1]], 80347/183936614400],
[[[1, 12], [2, 5], [5, 1], [6, 1]], 5639/10450944000],
[[[1, 12], [2, 5], [6, 1], [8, 1]], 331/16721510400],
[[[1, 12], [2, 7], [3, 1], [4, 1]], 793711/74317824000],
[[[1, 12], [2, 7], [3, 1], [6, 1]], 1002283/331085905920],
[[[1, 12], [2, 7], [4, 1], [6, 1]], 6511/7431782400],
[[[1, 13], [2, 2], [3, 1], [4, 3]], 2029/61312204800],
[[[1, 13], [2, 2], [3, 1], [7, 1]], 12613/19508428800],
[[[1, 13], [2, 2], [3, 1], [9, 1]], 143/2786918400],
[[[1, 13], [2, 2], [3, 2], [4, 2]], 39887/105106636800],
[[[1, 13], [2, 2], [3, 2], [5, 1]], 41233/16422912000],
[[[1, 13], [2, 2], [3, 2], [6, 2]], 48337/3310859059200],
[[[1, 13], [2, 2], [3, 2], [8, 1]], 3973/91968307200],
[[[1, 13], [2, 2], [3, 2], [10, 1]], 13/3284582400],
[[[1, 13], [2, 2], [3, 3], [4, 1]], 103/66355200],
[[[1, 13], [2, 2], [3, 3], [6, 1]], 134353/198651543552],
[[[1, 13], [2, 2], [4, 1], [7, 1]], 84851/429185433600],
[[[1, 13], [2, 2], [4, 2], [5, 1]], 1093/9732096000],
[[[1, 13], [2, 2], [4, 2], [8, 1]], 397/14014218240],
[[[1, 13], [2, 2], [4, 2], [10, 1]], 17/76640256000],
[[[1, 13], [2, 2], [4, 2], [12, 1]], 17/45984153600],
[[[1, 13], [2, 2], [5, 1], [6, 2]], 19/49268736000],
[[[1, 13], [2, 2], [5, 1], [8, 1]], 1271/76640256000],
[[[1, 13], [2, 2], [5, 1], [10, 1]], 5849/766402560000],
[[[1, 13], [2, 2], [6, 1], [7, 1]], 1/348364800],
[[[1, 13], [2, 4], [3, 1], [4, 2]], 7733/2675441664],
[[[1, 13], [2, 4], [3, 1], [5, 1]], 9269959/2759049216000],
[[[1, 13], [2, 4], [3, 1], [6, 2]], 2071/68976230400],
[[[1, 13], [2, 4], [3, 1], [8, 1]], 11441/91968307200],
[[[1, 13], [2, 4], [3, 1], [10, 1]], 31/870912000],
[[[1, 13], [2, 4], [3, 2], [4, 1]], 865637/137952460800],
[[[1, 13], [2, 4], [3, 2], [6, 1]], 1699861/827714764800],
[[[1, 13], [2, 4], [4, 1], [5, 1]], 69593/32845824000],
[[[1, 13], [2, 4], [4, 1], [6, 2]], 743/275904921600],
[[[1, 13], [2, 4], [4, 1], [8, 1]], 753899/2942985830400],
[[[1, 13], [2, 4], [4, 1], [10, 1]], 2881/229920768000],
[[[1, 13], [2, 4], [4, 1], [12, 1]], 163/34488115200],
[[[1, 13], [2, 4], [4, 2], [6, 1]], 31/756940800],
[[[1, 13], [2, 4], [5, 1], [6, 1]], 45953/689762304000],
[[[1, 13], [2, 4], [6, 1], [8, 1]], 163/68976230400],
[[[1, 13], [2, 6], [3, 1], [4, 1]], 5306261/1103619686400],
[[[1, 13], [2, 6], [3, 1], [6, 1]], 715129/706316599296],
[[[1, 13], [2, 6], [4, 1], [6, 1]], 130807/735746457600],
[[[1, 13], [3, 1], [4, 2], [5, 1]], 2003/459841536000],
[[[1, 13], [3, 2], [4, 1], [8, 1]], 13/5255331840],
[[[1, 13], [4, 1], [5, 1], [8, 1]], 19/21897216000],
[[[1, 14], [2, 1], [3, 1], [4, 3]], 269/275904921600],
[[[1, 14], [2, 1], [3, 1], [7, 1]], 619/15328051200],
[[[1, 14], [2, 1], [3, 1], [9, 1]], 1/418037760],
[[[1, 14], [2, 1], [3, 2], [4, 2]], 101/22992076800],
[[[1, 14], [2, 1], [3, 2], [5, 1]], 88181/459841536000],
[[[1, 14], [2, 1], [3, 2], [8, 1]], 13/10510663680],
[[[1, 14], [2, 1], [3, 3], [4, 1]], 7981/137952460800],
[[[1, 14], [2, 1], [3, 3], [6, 1]], 1649/78829977600],
[[[1, 14], [2, 1], [4, 1], [7, 1]], 2483/429185433600],
[[[1, 14], [2, 1], [4, 2], [5, 1]], 13/8515584000],
[[[1, 14], [2, 1], [4, 2], [8, 1]], 17/122624409600],
[[[1, 14], [2, 1], [5, 1], [8, 1]], 19/43794432000],
[[[1, 14], [2, 1], [5, 1], [10, 1]], 1/9289728000],
[[[1, 14], [2, 3], [3, 1], [4, 2]], 123637/551809843200],
[[[1, 14], [2, 3], [3, 1], [5, 1]], 40423/68124672000],
[[[1, 14], [2, 3], [3, 1], [6, 2]], 353/331085905920],
[[[1, 14], [2, 3], [3, 1], [8, 1]], 677/55180984320],
[[[1, 14], [2, 3], [3, 1], [10, 1]], 1/547430400],
[[[1, 14], [2, 3], [3, 2], [4, 1]], 3656201/4414478745600],
[[[1, 14], [2, 3], [3, 2], [6, 1]], 242743/1103619686400],
[[[1, 14], [2, 3], [4, 1], [5, 1]], 81089/334430208000],
[[[1, 14], [2, 3], [4, 1], [6, 2]], 17/275904921600],
[[[1, 14], [2, 3], [4, 1], [8, 1]], 62753/2942985830400],
[[[1, 14], [2, 3], [4, 1], [10, 1]], 31/76640256000],
[[[1, 14], [2, 3], [4, 1], [12, 1]], 1/3284582400],
[[[1, 14], [2, 3], [4, 2], [6, 1]], 37/17517772800],
[[[1, 14], [2, 3], [5, 1], [6, 1]], 13/3193344000],
[[[1, 14], [2, 3], [6, 1], [8, 1]], 1/6569164800],
[[[1, 14], [2, 5], [3, 1], [4, 1]], 1699147/1379524608000],
[[[1, 14], [2, 5], [3, 1], [6, 1]], 2101513/10594748989440],
[[[1, 14], [2, 5], [4, 1], [6, 1]], 46391/2207239372800],
[[[1, 15], [2, 2], [3, 1], [4, 2]], 2617/367873228800],
[[[1, 15], [2, 2], [3, 1], [5, 1]], 104609/1839366144000],
[[[1, 15], [2, 2], [3, 1], [6, 2]], 1/103464345600],
[[[1, 15], [2, 2], [3, 1], [8, 1]], 109/183936614400],
[[[1, 15], [2, 2], [3, 1], [10, 1]], 1/28740096000],
[[[1, 15], [2, 2], [3, 2], [4, 1]], 3529/66886041600],
[[[1, 15], [2, 2], [3, 2], [6, 1]], 67337/5794003353600],
[[[1, 15], [2, 2], [4, 1], [5, 1]], 1073/78033715200],
[[[1, 15], [2, 2], [4, 1], [8, 1]], 97/108999475200],
[[[1, 15], [2, 2], [4, 1], [10, 1]], 1/170311680000],
[[[1, 15], [2, 2], [4, 1], [12, 1]], 1/102187008000],
[[[1, 15], [2, 2], [4, 2], [6, 1]], 17/367873228800],
[[[1, 15], [2, 2], [5, 1], [6, 1]], 19/197074944000],
[[[1, 15], [2, 2], [6, 1], [8, 1]], 1/204374016000],
[[[1, 15], [2, 4], [3, 1], [4, 1]], 198683/1103619686400],
[[[1, 15], [2, 4], [3, 1], [6, 1]], 1498027/66217181184000],
[[[1, 15], [2, 4], [4, 1], [6, 1]], 137/95551488000],
[[[1, 15], [3, 1], [4, 1], [8, 1]], 1/45984153600],
[[[1, 16], [2, 1], [3, 1], [4, 2]], 19/350355456000],
[[[1, 16], [2, 1], [3, 1], [5, 1]], 7043/2575112601600],
[[[1, 16], [2, 1], [3, 1], [8, 1]], 1/91968307200],
[[[1, 16], [2, 1], [3, 2], [4, 1]], 877/686696693760],
[[[1, 16], [2, 1], [3, 2], [6, 1]], 167/702303436800],
[[[1, 16], [2, 1], [4, 1], [5, 1]], 47/156067430400],
[[[1, 16], [2, 1], [4, 1], [8, 1]], 73/4904976384000],
[[[1, 16], [2, 1], [4, 1], [10, 1]], 1/13795246080000],
[[[1, 16], [2, 1], [4, 1], [12, 1]], 1/8277147648000],
[[[1, 16], [2, 1], [6, 1], [8, 1]], 1/16554295296000],
[[[1, 16], [2, 3], [3, 1], [4, 1]], 1134943/77253378048000],
[[[1, 16], [2, 3], [3, 1], [6, 1]], 30001/20600900812800],
[[[1, 16], [2, 3], [4, 1], [6, 1]], 529/9459597312000],
[[[1, 17], [2, 2], [3, 1], [4, 1]], 15871/25751126016000],
[[[1, 17], [2, 2], [3, 1], [6, 1]], 6091/126414618624000],
[[[1, 17], [2, 2], [4, 1], [6, 1]], 83/66217181184000],
[[[1, 18], [2, 1], [3, 1], [4, 1]], 79/7725337804800],
[[[1, 18], [2, 1], [3, 1], [6, 1]], 383/618027024384000],
[[[1, 18], [2, 1], [4, 1], [6, 1]], 1/66217181184000],
[[[2, 3], [4, 2], [6, 3], [22, 1]], 1/38016],
[[[2, 3], [4, 2], [6, 5], [18, 1]], 1/93312],
[[[2, 3], [6, 2], [10, 1], [14, 2]], 1/8820],
[[[2, 3], [6, 2], [14, 1], [22, 1]], 1/2772],
[[[2, 3], [6, 4], [14, 1], [18, 1]], 1/6804],
[[[2, 3], [10, 1], [14, 1], [22, 1]], 1/770],
[[[2, 5], [4, 1], [6, 6], [8, 1]], 1/2239488],
[[[2, 5], [4, 1], [8, 1], [10, 3]], 1/32000],
[[[2, 5], [4, 2], [6, 1], [10, 3]], 1/96000],
[[[2, 5], [4, 2], [6, 2], [22, 1]], 1/33792],
[[[2, 5], [4, 2], [6, 3], [10, 2]], 1/69120],
[[[2, 5], [4, 2], [6, 4], [14, 1]], 1/145152],
[[[2, 5], [4, 2], [6, 4], [18, 1]], 13/746496],
[[[2, 5], [4, 2], [6, 5], [10, 1]], 7/1866240],
[[[2, 5], [4, 2], [10, 1], [22, 1]], 1/84480],
[[[2, 5], [4, 2], [10, 2], [14, 1]], 1/268800],
[[[2, 5], [6, 1], [10, 1], [14, 2]], 1/2205],
[[[2, 5], [6, 1], [14, 1], [22, 1]], 1/2772],
[[[2, 5], [6, 2], [10, 1], [22, 1]], 1/5280],
[[[2, 5], [6, 2], [10, 2], [14, 1]], 13/50400],
[[[2, 5], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[2, 5], [6, 3], [14, 1], [18, 1]], 1/4536],
[[[2, 5], [6, 4], [10, 1], [14, 1]], 17/272160],
[[[2, 5], [6, 4], [10, 1], [18, 1]], 1/12960],
[[[2, 7], [4, 1], [6, 5], [8, 1]], 1/746496],
[[[2, 7], [4, 1], [8, 1], [22, 1]], 1/506880],
[[[2, 7], [4, 2], [6, 1], [22, 1]], 1/253440],
[[[2, 7], [4, 2], [6, 2], [10, 2]], 7/921600],
[[[2, 7], [4, 2], [6, 3], [14, 1]], 47/5806080],
[[[2, 7], [4, 2], [6, 3], [18, 1]], 19/2488320],
[[[2, 7], [4, 2], [6, 4], [10, 1]], 83/14929920],
[[[2, 7], [6, 1], [10, 1], [22, 1]], 1/14080],
[[[2, 7], [6, 1], [10, 2], [14, 1]], 13/80640],
[[[2, 7], [6, 1], [10, 2], [18, 1]], 1/21600],
[[[2, 7], [6, 2], [14, 1], [18, 1]], 1/12960],
[[[2, 7], [6, 3], [10, 1], [14, 1]], 571/4354560],
[[[2, 7], [6, 3], [10, 1], [18, 1]], 7/103680],
[[[2, 9], [4, 1], [6, 4], [8, 1]], 29/29859840],
[[[2, 9], [4, 1], [8, 1], [10, 2]], 11/32256000],
[[[2, 9], [4, 2], [6, 1], [10, 2]], 3/3584000],
[[[2, 9], [4, 2], [6, 2], [14, 1]], 11/7741440],
[[[2, 9], [4, 2], [6, 2], [18, 1]], 5/5971968],
[[[2, 9], [4, 2], [6, 3], [10, 1]], 337/209018880],
[[[2, 9], [4, 2], [10, 1], [14, 1]], 1/5529600],
[[[2, 9], [6, 1], [14, 1], [18, 1]], 1/544320],
[[[2, 9], [6, 2], [10, 1], [14, 1]], 14401/406425600],
[[[2, 9], [6, 2], [10, 1], [18, 1]], 439/29030400],
[[[2, 11], [4, 1], [6, 3], [8, 1]], 113/1254113280],
[[[2, 11], [4, 1], [8, 1], [14, 1]], 1/38707200],
[[[2, 11], [4, 2], [6, 1], [14, 1]], 17/232243200],
[[[2, 11], [4, 2], [6, 1], [18, 1]], 1/59719680],
[[[2, 11], [4, 2], [6, 2], [10, 1]], 323/2090188800],
[[[2, 11], [6, 1], [10, 1], [14, 1]], 443/243855360],
[[[2, 11], [6, 1], [10, 1], [18, 1]], 19/58060800],
[[[2, 13], [4, 1], [6, 2], [8, 1]], 13/5255331840],
[[[2, 13], [4, 1], [8, 1], [10, 1]], 19/21897216000],
[[[2, 13], [4, 2], [6, 1], [10, 1]], 2003/459841536000],
[[[2, 15], [4, 1], [6, 1], [8, 1]], 1/45984153600],
[[[1, 1], [2, 2], [4, 3], [6, 2], [22, 1]], 1/152064],
[[[1, 1], [2, 2], [4, 3], [6, 4], [18, 1]], 1/373248],
[[[1, 1], [2, 2], [4, 3], [10, 1], [22, 1]], 1/42240],
[[[1, 1], [2, 2], [4, 3], [10, 2], [14, 1]], 1/134400],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 6]], 7/2239488],
[[[1, 1], [2, 4], [3, 1], [6, 2], [14, 2]], 1/3528],
[[[1, 1], [2, 4], [3, 1], [6, 3], [22, 1]], 1/3168],
[[[1, 1], [2, 4], [3, 1], [6, 5], [14, 1]], 1/23328],
[[[1, 1], [2, 4], [3, 1], [6, 5], [18, 1]], 1/7776],
[[[1, 1], [2, 4], [3, 1], [6, 6], [8, 1]], 1/1679616],
[[[1, 1], [2, 4], [3, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 1], [2, 4], [3, 3], [4, 3], [6, 3]], 1/331776],
[[[1, 1], [2, 4], [3, 3], [6, 4], [8, 1]], 1/20736],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 6]], 1/1399680],
[[[1, 1], [2, 4], [4, 1], [5, 1], [10, 3]], 1/20000],
[[[1, 1], [2, 4], [4, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 1], [2, 4], [4, 1], [6, 3], [22, 1]], 1/6336],
[[[1, 1], [2, 4], [4, 1], [6, 5], [18, 1]], 1/15552],
[[[1, 1], [2, 4], [4, 1], [6, 6], [12, 1]], 1/839808],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 3]], 1/32000],
[[[1, 1], [2, 4], [4, 1], [10, 1], [14, 2]], 3/3920],
[[[1, 1], [2, 4], [4, 1], [10, 3], [12, 1]], 1/12000],
[[[1, 1], [2, 4], [4, 1], [14, 1], [22, 1]], 1/1232],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 3]], 1/96000],
[[[1, 1], [2, 4], [4, 2], [6, 2], [22, 1]], 5/50688],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 2]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [6, 3], [10, 2]], 1/345600],
[[[1, 1], [2, 4], [4, 2], [6, 4], [14, 1]], 1/145152],
[[[1, 1], [2, 4], [4, 2], [6, 4], [18, 1]], 7/124416],
[[[1, 1], [2, 4], [4, 2], [8, 1], [22, 1]], 1/5632],
[[[1, 1], [2, 4], [4, 2], [10, 1], [22, 1]], 1/14080],
[[[1, 1], [2, 4], [4, 2], [10, 2], [14, 1]], 1/44800],
[[[1, 1], [2, 4], [4, 3], [6, 1], [22, 1]], 5/76032],
[[[1, 1], [2, 4], [4, 3], [6, 2], [10, 2]], 29/1382400],
[[[1, 1], [2, 4], [4, 3], [6, 3], [14, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 3], [6, 3], [18, 1]], 7/248832],
[[[1, 1], [2, 4], [4, 3], [6, 4], [8, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 3], [6, 4], [10, 1]], 43/7464960],
[[[1, 1], [2, 4], [5, 1], [10, 2], [14, 1]], 1/1400],
[[[1, 1], [2, 4], [6, 1], [10, 1], [14, 2]], 1/1470],
[[[1, 1], [2, 4], [6, 1], [14, 1], [22, 1]], 1/924],
[[[1, 1], [2, 4], [6, 2], [8, 1], [22, 1]], 1/25344],
[[[1, 1], [2, 4], [6, 2], [10, 1], [22, 1]], 1/7920],
[[[1, 1], [2, 4], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[1, 1], [2, 4], [6, 2], [10, 2], [18, 1]], 1/5400],
[[[1, 1], [2, 4], [6, 3], [14, 1], [18, 1]], 1/1512],
[[[1, 1], [2, 4], [6, 4], [8, 1], [18, 1]], 1/62208],
[[[1, 1], [2, 4], [6, 4], [10, 1], [18, 1]], 1/19440],
[[[1, 1], [2, 4], [8, 1], [10, 1], [22, 1]], 1/7040],
[[[1, 1], [2, 4], [8, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 6]], 1/6718464],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 3]], 1/96000],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 5]], 119/17915904],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 3]], 3/16000],
[[[1, 1], [2, 6], [3, 1], [6, 1], [14, 2]], 1/70560],
[[[1, 1], [2, 6], [3, 1], [6, 2], [22, 1]], 1/4608],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 2]], 7/28800],
[[[1, 1], [2, 6], [3, 1], [6, 4], [14, 1]], 55/326592],
[[[1, 1], [2, 6], [3, 1], [6, 4], [18, 1]], 19/124416],
[[[1, 1], [2, 6], [3, 1], [6, 5], [8, 1]], 1/559872],
[[[1, 1], [2, 6], [3, 1], [6, 5], [10, 1]], 71/933120],
[[[1, 1], [2, 6], [3, 1], [8, 1], [22, 1]], 1/380160],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 4]], 1/82944],
[[[1, 1], [2, 6], [3, 3], [6, 3], [8, 1]], 1/165888],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 5]], 1/466560],
[[[1, 1], [2, 6], [4, 1], [5, 1], [22, 1]], 1/316800],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 3]], 1/9600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [14, 2]], 5/14112],
[[[1, 1], [2, 6], [4, 1], [6, 2], [22, 1]], 17/67584],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 2]], 7/57600],
[[[1, 1], [2, 6], [4, 1], [6, 4], [14, 1]], 19/217728],
[[[1, 1], [2, 6], [4, 1], [6, 4], [18, 1]], 67/497664],
[[[1, 1], [2, 6], [4, 1], [6, 5], [8, 1]], 5/248832],
[[[1, 1], [2, 6], [4, 1], [6, 5], [10, 1]], 1/34560],
[[[1, 1], [2, 6], [4, 1], [6, 5], [12, 1]], 1/279936],
[[[1, 1], [2, 6], [4, 1], [8, 1], [22, 1]], 1/33792],
[[[1, 1], [2, 6], [4, 1], [10, 1], [22, 1]], 1/5120],
[[[1, 1], [2, 6], [4, 1], [10, 2], [14, 1]], 193/537600],
[[[1, 1], [2, 6], [4, 1], [12, 1], [22, 1]], 1/190080],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [4, 2], [6, 1], [22, 1]], 1/25344],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 2]], 1/24576],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 2]], 37/921600],
[[[1, 1], [2, 6], [4, 2], [6, 3], [14, 1]], 43/1161216],
[[[1, 1], [2, 6], [4, 2], [6, 3], [18, 1]], 1/18432],
[[[1, 1], [2, 6], [4, 2], [6, 4], [8, 1]], 7/995328],
[[[1, 1], [2, 6], [4, 2], [6, 4], [10, 1]], 17/829440],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 2]], 7/153600],
[[[1, 1], [2, 6], [4, 2], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 2]], 13/691200],
[[[1, 1], [2, 6], [4, 3], [6, 2], [14, 1]], 1/34560],
[[[1, 1], [2, 6], [4, 3], [6, 2], [18, 1]], 41/2488320],
[[[1, 1], [2, 6], [4, 3], [6, 3], [8, 1]], 5/331776],
[[[1, 1], [2, 6], [4, 3], [6, 3], [10, 1]], 11/466560],
[[[1, 1], [2, 6], [4, 3], [10, 1], [14, 1]], 71/9676800],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 2]], 1/9600],
[[[1, 1], [2, 6], [5, 1], [6, 4], [10, 1]], 1/51840],
[[[1, 1], [2, 6], [6, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 1], [2, 6], [6, 1], [10, 1], [22, 1]], 13/31680],
[[[1, 1], [2, 6], [6, 1], [10, 2], [14, 1]], 71/100800],
[[[1, 1], [2, 6], [6, 1], [10, 2], [18, 1]], 1/4320],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 2]], 1/46080],
[[[1, 1], [2, 6], [6, 2], [14, 1], [18, 1]], 1/2016],
[[[1, 1], [2, 6], [6, 3], [8, 1], [14, 1]], 1/96768],
[[[1, 1], [2, 6], [6, 3], [8, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 6], [6, 3], [10, 1], [14, 1]], 19/51840],
[[[1, 1], [2, 6], [6, 3], [10, 1], [18, 1]], 1/3240],
[[[1, 1], [2, 6], [6, 4], [8, 1], [10, 1]], 7/1244160],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 5]], 1/2239488],
[[[1, 1], [2, 8], [3, 1], [4, 1], [22, 1]], 1/1520640],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 4]], 41/11197440],
[[[1, 1], [2, 8], [3, 1], [6, 1], [22, 1]], 5/946176],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 2]], 47/460800],
[[[1, 1], [2, 8], [3, 1], [6, 3], [14, 1]], 25/248832],
[[[1, 1], [2, 8], [3, 1], [6, 3], [18, 1]], 323/6967296],
[[[1, 1], [2, 8], [3, 1], [6, 4], [8, 1]], 29/22394880],
[[[1, 1], [2, 8], [3, 1], [6, 4], [10, 1]], 65/746496],
[[[1, 1], [2, 8], [3, 1], [8, 1], [10, 2]], 11/24192000],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 3]], 1/6635520],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 4]], 29/18662400],
[[[1, 1], [2, 8], [4, 1], [5, 1], [10, 2]], 11/20160000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [22, 1]], 1/42240],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 2]], 43/368640],
[[[1, 1], [2, 8], [4, 1], [6, 3], [14, 1]], 4253/34836480],
[[[1, 1], [2, 8], [4, 1], [6, 3], [18, 1]], 101/1658880],
[[[1, 1], [2, 8], [4, 1], [6, 4], [8, 1]], 17/663552],
[[[1, 1], [2, 8], [4, 1], [6, 4], [10, 1]], 673/9953280],
[[[1, 1], [2, 8], [4, 1], [6, 4], [12, 1]], 29/11197440],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 2]], 11/576000],
[[[1, 1], [2, 8], [4, 1], [10, 2], [12, 1]], 11/12096000],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 2]], 1/184320],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 2]], 23/2304000],
[[[1, 1], [2, 8], [4, 2], [6, 2], [14, 1]], 1/60480],
[[[1, 1], [2, 8], [4, 2], [6, 2], [18, 1]], 37/3317760],
[[[1, 1], [2, 8], [4, 2], [6, 3], [8, 1]], 43/4976640],
[[[1, 1], [2, 8], [4, 2], [6, 3], [10, 1]], 11/691200],
[[[1, 1], [2, 8], [4, 2], [8, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 8], [4, 2], [10, 1], [14, 1]], 13/4300800],
[[[1, 1], [2, 8], [4, 3], [6, 1], [14, 1]], 17/3870720],
[[[1, 1], [2, 8], [4, 3], [6, 1], [18, 1]], 23/14929920],
[[[1, 1], [2, 8], [4, 3], [6, 2], [8, 1]], 31/8847360],
[[[1, 1], [2, 8], [4, 3], [6, 2], [10, 1]], 1397/174182400],
[[[1, 1], [2, 8], [4, 3], [8, 1], [10, 1]], 1/1474560],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 2]], 1/25600],
[[[1, 1], [2, 8], [5, 1], [6, 3], [10, 1]], 17/829440],
[[[1, 1], [2, 8], [5, 1], [10, 1], [14, 1]], 1/201600],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 1], [2, 8], [6, 1], [14, 1], [18, 1]], 1/30240],
[[[1, 1], [2, 8], [6, 2], [8, 1], [14, 1]], 1/92160],
[[[1, 1], [2, 8], [6, 2], [8, 1], [18, 1]], 7/829440],
[[[1, 1], [2, 8], [6, 2], [10, 1], [14, 1]], 2929/9676800],
[[[1, 1], [2, 8], [6, 2], [10, 1], [18, 1]], 287/2073600],
[[[1, 1], [2, 8], [6, 3], [8, 1], [10, 1]], 19/2488320],
[[[1, 1], [2, 8], [8, 1], [10, 1], [14, 1]], 1/460800],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 4]], 29/89579520],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 2]], 11/96768000],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 3]], 1241/2508226560],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 2]], 31/14336000],
[[[1, 1], [2, 10], [3, 1], [6, 2], [14, 1]], 8887/1463132160],
[[[1, 1], [2, 10], [3, 1], [6, 2], [18, 1]], 5/4644864],
[[[1, 1], [2, 10], [3, 1], [6, 3], [8, 1]], 113/940584960],
[[[1, 1], [2, 10], [3, 1], [6, 3], [10, 1]], 6001/348364800],
[[[1, 1], [2, 10], [3, 1], [8, 1], [14, 1]], 1/29030400],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 3]], 113/783820800],
[[[1, 1], [2, 10], [4, 1], [5, 1], [14, 1]], 1/24192000],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 10], [4, 1], [6, 2], [14, 1]], 151/10160640],
[[[1, 1], [2, 10], [4, 1], [6, 2], [18, 1]], 347/69672960],
[[[1, 1], [2, 10], [4, 1], [6, 3], [8, 1]], 361/69672960],
[[[1, 1], [2, 10], [4, 1], [6, 3], [10, 1]], 301/12441600],
[[[1, 1], [2, 10], [4, 1], [6, 3], [12, 1]], 113/470292480],
[[[1, 1], [2, 10], [4, 1], [8, 1], [14, 1]], 1/860160],
[[[1, 1], [2, 10], [4, 1], [10, 1], [14, 1]], 1241/270950400],
[[[1, 1], [2, 10], [4, 1], [12, 1], [14, 1]], 1/14515200],
[[[1, 1], [2, 10], [4, 2], [5, 1], [10, 1]], 1/22118400],
[[[1, 1], [2, 10], [4, 2], [6, 1], [14, 1]], 1/663552],
[[[1, 1], [2, 10], [4, 2], [6, 1], [18, 1]], 1/2488320],
[[[1, 1], [2, 10], [4, 2], [6, 2], [8, 1]], 169/185794560],
[[[1, 1], [2, 10], [4, 2], [6, 2], [10, 1]], 209/77414400],
[[[1, 1], [2, 10], [4, 2], [8, 1], [10, 1]], 43/154828800],
[[[1, 1], [2, 10], [4, 3], [6, 1], [8, 1]], 7/26542080],
[[[1, 1], [2, 10], [4, 3], [6, 1], [10, 1]], 3067/4180377600],
[[[1, 1], [2, 10], [5, 1], [6, 2], [10, 1]], 131/77414400],
[[[1, 1], [2, 10], [6, 1], [8, 1], [14, 1]], 1/1290240],
[[[1, 1], [2, 10], [6, 1], [8, 1], [18, 1]], 1/4976640],
[[[1, 1], [2, 10], [6, 1], [10, 1], [14, 1]], 4477/135475200],
[[[1, 1], [2, 10], [6, 1], [10, 1], [18, 1]], 233/34836480],
[[[1, 1], [2, 10], [6, 2], [8, 1], [10, 1]], 17/11612160],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 3]], 113/3762339840],
[[[1, 1], [2, 12], [3, 1], [4, 1], [14, 1]], 1/116121600],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 2]], 73/3941498880],
[[[1, 1], [2, 12], [3, 1], [6, 1], [14, 1]], 1187/12875563008],
[[[1, 1], [2, 12], [3, 1], [6, 2], [8, 1]], 13/3941498880],
[[[1, 1], [2, 12], [3, 1], [6, 2], [10, 1]], 2647/4180377600],
[[[1, 1], [2, 12], [3, 1], [8, 1], [10, 1]], 19/16422912000],
[[[1, 1], [2, 12], [4, 1], [5, 1], [6, 2]], 13/3284582400],
[[[1, 1], [2, 12], [4, 1], [5, 1], [10, 1]], 19/13685760000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [14, 1]], 2623/4877107200],
[[[1, 1], [2, 12], [4, 1], [6, 1], [18, 1]], 11/139345920],
[[[1, 1], [2, 12], [4, 1], [6, 2], [8, 1]], 3193/11147673600],
[[[1, 1], [2, 12], [4, 1], [6, 2], [10, 1]], 47/23224320],
[[[1, 1], [2, 12], [4, 1], [6, 2], [12, 1]], 13/1970749440],
[[[1, 1], [2, 12], [4, 1], [8, 1], [10, 1]], 1147/9289728000],
[[[1, 1], [2, 12], [4, 1], [10, 1], [12, 1]], 19/8211456000],
[[[1, 1], [2, 12], [4, 2], [6, 1], [8, 1]], 31/1393459200],
[[[1, 1], [2, 12], [4, 2], [6, 1], [10, 1]], 587/4644864000],
[[[1, 1], [2, 12], [5, 1], [6, 1], [10, 1]], 1/29030400],
[[[1, 1], [2, 12], [6, 1], [8, 1], [10, 1]], 17/348364800],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 2]], 13/15765995520],
[[[1, 1], [2, 14], [3, 1], [4, 1], [10, 1]], 19/65691648000],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 1]], 37/176579149824],
[[[1, 1], [2, 14], [3, 1], [6, 1], [8, 1]], 1/34488115200],
[[[1, 1], [2, 14], [3, 1], [6, 1], [10, 1]], 20893/3218890752000],
[[[1, 1], [2, 14], [4, 1], [5, 1], [6, 1]], 1/28740096000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [8, 1]], 197/40874803200],
[[[1, 1], [2, 14], [4, 1], [6, 1], [10, 1]], 577/12262440960],
[[[1, 1], [2, 14], [4, 1], [6, 1], [12, 1]], 1/17244057600],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 1]], 1/137952460800],
[[[1, 2], [2, 1], [3, 2], [4, 3], [11, 1]], 1/152064],
[[[1, 2], [2, 1], [3, 4], [4, 3], [9, 1]], 1/373248],
[[[1, 2], [2, 1], [4, 3], [5, 1], [11, 1]], 1/42240],
[[[1, 2], [2, 1], [4, 3], [5, 2], [7, 1]], 1/134400],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 5]], 7/8957952],
[[[1, 2], [2, 3], [3, 1], [6, 2], [14, 2]], 1/3528],
[[[1, 2], [2, 3], [3, 1], [6, 3], [11, 1]], 1/9504],
[[[1, 2], [2, 3], [3, 1], [6, 3], [22, 1]], 1/14256],
[[[1, 2], [2, 3], [3, 1], [6, 5], [18, 1]], 1/34992],
[[[1, 2], [2, 3], [3, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 5]], 1/82944],
[[[1, 2], [2, 3], [3, 2], [4, 4], [9, 1]], 1/165888],
[[[1, 2], [2, 3], [3, 2], [4, 5], [8, 1]], 1/442368],
[[[1, 2], [2, 3], [3, 2], [6, 2], [11, 1]], 1/4752],
[[[1, 2], [2, 3], [3, 2], [6, 2], [22, 1]], 19/28512],
[[[1, 2], [2, 3], [3, 2], [6, 4], [14, 1]], 1/6048],
[[[1, 2], [2, 3], [3, 2], [6, 4], [18, 1]], 19/69984],
[[[1, 2], [2, 3], [3, 2], [6, 5], [8, 1]], 7/559872],
[[[1, 2], [2, 3], [3, 2], [8, 1], [11, 1]], 1/76032],
[[[1, 2], [2, 3], [3, 2], [10, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 3], [3, 2], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 3], [3, 3], [6, 3], [7, 1]], 1/6048],
[[[1, 2], [2, 3], [3, 3], [6, 3], [9, 1]], 1/23328],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 3]], 1/82944],
[[[1, 2], [2, 3], [3, 4], [4, 3], [6, 2]], 1/331776],
[[[1, 2], [2, 3], [3, 4], [6, 2], [9, 1]], 1/11664],
[[[1, 2], [2, 3], [3, 4], [6, 3], [8, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 4], [8, 1], [9, 1]], 1/186624],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 3]], 1/20000],
[[[1, 2], [2, 3], [4, 1], [5, 2], [10, 2]], 1/2000],
[[[1, 2], [2, 3], [4, 1], [10, 1], [14, 2]], 1/3920],
[[[1, 2], [2, 3], [4, 1], [10, 3], [12, 1]], 1/12000],
[[[1, 2], [2, 3], [4, 1], [14, 1], [22, 1]], 1/1232],
[[[1, 2], [2, 3], [4, 2], [5, 1], [22, 1]], 1/3520],
[[[1, 2], [2, 3], [4, 2], [6, 2], [22, 1]], 1/11264],
[[[1, 2], [2, 3], [4, 2], [6, 4], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [8, 1], [22, 1]], 1/5632],
[[[1, 2], [2, 3], [4, 2], [10, 1], [11, 1]], 1/3520],
[[[1, 2], [2, 3], [4, 2], [10, 1], [22, 1]], 9/28160],
[[[1, 2], [2, 3], [4, 2], [10, 2], [14, 1]], 9/89600],
[[[1, 2], [2, 3], [4, 2], [11, 1], [12, 1]], 1/2112],
[[[1, 2], [2, 3], [4, 2], [12, 1], [22, 1]], 1/2112],
[[[1, 2], [2, 3], [4, 3], [5, 1], [10, 2]], 1/76800],
[[[1, 2], [2, 3], [4, 3], [5, 2], [10, 1]], 1/76800],
[[[1, 2], [2, 3], [4, 3], [6, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 3], [4, 3], [6, 2], [8, 2]], 1/36864],
[[[1, 2], [2, 3], [4, 3], [6, 2], [10, 2]], 1/1382400],
[[[1, 2], [2, 3], [4, 3], [6, 3], [14, 1]], 1/580608],
[[[1, 2], [2, 3], [4, 3], [6, 3], [18, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 3], [8, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 4], [5, 1], [7, 1]], 1/215040],
[[[1, 2], [2, 3], [4, 4], [6, 1], [10, 2]], 1/230400],
[[[1, 2], [2, 3], [4, 4], [6, 2], [14, 1]], 1/387072],
[[[1, 2], [2, 3], [4, 4], [6, 2], [18, 1]], 1/165888],
[[[1, 2], [2, 3], [4, 4], [6, 3], [8, 1]], 1/82944],
[[[1, 2], [2, 3], [4, 4], [6, 3], [10, 1]], 1/829440],
[[[1, 2], [2, 3], [4, 4], [10, 1], [14, 1]], 1/71680],
[[[1, 2], [2, 3], [4, 5], [5, 1], [8, 1]], 1/122880],
[[[1, 2], [2, 3], [5, 1], [6, 2], [22, 1]], 1/7920],
[[[1, 2], [2, 3], [5, 1], [6, 4], [18, 1]], 1/19440],
[[[1, 2], [2, 3], [5, 1], [8, 1], [11, 1]], 1/21120],
[[[1, 2], [2, 3], [5, 1], [10, 1], [22, 1]], 1/2200],
[[[1, 2], [2, 3], [5, 1], [10, 2], [14, 1]], 3/3500],
[[[1, 2], [2, 3], [5, 2], [7, 1], [8, 1]], 1/67200],
[[[1, 2], [2, 3], [6, 2], [8, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 3], [6, 2], [10, 1], [22, 1]], 1/15840],
[[[1, 2], [2, 3], [6, 2], [10, 2], [14, 1]], 1/50400],
[[[1, 2], [2, 3], [6, 2], [10, 2], [18, 1]], 1/10800],
[[[1, 2], [2, 3], [6, 4], [8, 1], [18, 1]], 1/31104],
[[[1, 2], [2, 3], [6, 4], [10, 1], [18, 1]], 1/38880],
[[[1, 2], [2, 3], [8, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 2], [2, 3], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 6]], 1/52488],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 3]], 1/32000],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 5]], 7/331776],
[[[1, 2], [2, 5], [3, 1], [4, 2], [22, 1]], 1/16896],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 4]], 11/559872],
[[[1, 2], [2, 5], [3, 1], [4, 6], [6, 1]], 1/1769472],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 3]], 49/144000],
[[[1, 2], [2, 5], [3, 1], [6, 1], [14, 2]], 1/7056],
[[[1, 2], [2, 5], [3, 1], [6, 2], [11, 1]], 1/38016],
[[[1, 2], [2, 5], [3, 1], [6, 2], [22, 1]], 5/6336],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 2]], 11/51840],
[[[1, 2], [2, 5], [3, 1], [6, 4], [14, 1]], 13/36288],
[[[1, 2], [2, 5], [3, 1], [6, 4], [18, 1]], 37/69984],
[[[1, 2], [2, 5], [3, 1], [6, 5], [8, 1]], 5/497664],
[[[1, 2], [2, 5], [3, 1], [6, 5], [10, 1]], 7/279936],
[[[1, 2], [2, 5], [3, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 2], [2, 5], [3, 1], [10, 1], [22, 1]], 1/31680],
[[[1, 2], [2, 5], [3, 1], [10, 2], [14, 1]], 1/100800],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 5]], 7/2239488],
[[[1, 2], [2, 5], [3, 2], [4, 1], [11, 1]], 1/3041280],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 4]], 1/73728],
[[[1, 2], [2, 5], [3, 2], [4, 2], [8, 2]], 1/221184],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 2]], 1/147456],
[[[1, 2], [2, 5], [3, 2], [6, 1], [11, 1]], 1/152064],
[[[1, 2], [2, 5], [3, 2], [6, 1], [22, 1]], 1/28512],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 2]], 61/129600],
[[[1, 2], [2, 5], [3, 2], [6, 3], [14, 1]], 37/108864],
[[[1, 2], [2, 5], [3, 2], [6, 3], [18, 1]], 7/46656],
[[[1, 2], [2, 5], [3, 2], [6, 4], [8, 1]], 7/279936],
[[[1, 2], [2, 5], [3, 2], [6, 4], [10, 1]], 181/559872],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 4]], 1/41472],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 3]], 1/24576],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 3]], 1/34560],
[[[1, 2], [2, 5], [3, 3], [6, 2], [9, 1]], 1/93312],
[[[1, 2], [2, 5], [3, 3], [6, 3], [8, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 3], [6, 3], [10, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 3]], 1/82944],
[[[1, 2], [2, 5], [3, 4], [4, 1], [9, 1]], 1/7464960],
[[[1, 2], [2, 5], [3, 4], [6, 1], [9, 1]], 1/373248],
[[[1, 2], [2, 5], [3, 4], [6, 2], [8, 1]], 1/165888],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 5]], 1/155520],
[[[1, 2], [2, 5], [4, 1], [5, 1], [11, 1]], 1/844800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [22, 1]], 1/21120],
[[[1, 2], [2, 5], [4, 1], [5, 2], [7, 1]], 1/2688000],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 3]], 7/48000],
[[[1, 2], [2, 5], [4, 1], [6, 1], [14, 2]], 1/1176],
[[[1, 2], [2, 5], [4, 1], [6, 2], [22, 1]], 1/1536],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 2]], 1/55296],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 2]], 7/172800],
[[[1, 2], [2, 5], [4, 1], [6, 4], [14, 1]], 1/13608],
[[[1, 2], [2, 5], [4, 1], [6, 4], [18, 1]], 5/13824],
[[[1, 2], [2, 5], [4, 1], [6, 5], [12, 1]], 1/93312],
[[[1, 2], [2, 5], [4, 1], [8, 1], [11, 1]], 1/33792],
[[[1, 2], [2, 5], [4, 1], [8, 1], [22, 1]], 1/5632],
[[[1, 2], [2, 5], [4, 1], [10, 1], [22, 1]], 1/1280],
[[[1, 2], [2, 5], [4, 1], [10, 2], [14, 1]], 43/44800],
[[[1, 2], [2, 5], [4, 1], [12, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 4]], 7/622080],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 2]], 1/61440],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 2]], 211/768000],
[[[1, 2], [2, 5], [4, 2], [6, 1], [11, 1]], 1/16896],
[[[1, 2], [2, 5], [4, 2], [6, 1], [22, 1]], 3/5632],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 2]], 5/36864],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 2]], 53/307200],
[[[1, 2], [2, 5], [4, 2], [6, 3], [14, 1]], 61/387072],
[[[1, 2], [2, 5], [4, 2], [6, 3], [18, 1]], 49/165888],
[[[1, 2], [2, 5], [4, 2], [6, 4], [8, 1]], 91/995328],
[[[1, 2], [2, 5], [4, 2], [6, 4], [10, 1]], 73/1658880],
[[[1, 2], [2, 5], [4, 2], [6, 4], [12, 1]], 7/373248],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 2]], 1/5120],
[[[1, 2], [2, 5], [4, 2], [8, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 5], [4, 2], [10, 2], [12, 1]], 7/57600],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 2]], 7/36864],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 2]], 41/691200],
[[[1, 2], [2, 5], [4, 3], [6, 2], [14, 1]], 5/64512],
[[[1, 2], [2, 5], [4, 3], [6, 2], [18, 1]], 13/165888],
[[[1, 2], [2, 5], [4, 3], [6, 3], [8, 1]], 7/110592],
[[[1, 2], [2, 5], [4, 3], [6, 3], [10, 1]], 11/248832],
[[[1, 2], [2, 5], [4, 3], [8, 1], [14, 1]], 1/14336],
[[[1, 2], [2, 5], [4, 3], [10, 1], [14, 1]], 31/645120],
[[[1, 2], [2, 5], [4, 4], [5, 1], [10, 1]], 1/122880],
[[[1, 2], [2, 5], [4, 4], [6, 1], [14, 1]], 23/774144],
[[[1, 2], [2, 5], [4, 4], [6, 1], [18, 1]], 1/331776],
[[[1, 2], [2, 5], [4, 4], [6, 2], [8, 1]], 1/24576],
[[[1, 2], [2, 5], [4, 4], [6, 2], [10, 1]], 1/36864],
[[[1, 2], [2, 5], [4, 4], [8, 1], [10, 1]], 19/184320],
[[[1, 2], [2, 5], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 5], [5, 1], [6, 1], [22, 1]], 1/7920],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 2]], 7/28800],
[[[1, 2], [2, 5], [5, 1], [6, 3], [14, 1]], 1/30240],
[[[1, 2], [2, 5], [5, 1], [6, 3], [18, 1]], 1/12960],
[[[1, 2], [2, 5], [5, 1], [6, 4], [10, 1]], 29/777600],
[[[1, 2], [2, 5], [5, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 2], [2, 5], [5, 2], [8, 1], [10, 1]], 1/38400],
[[[1, 2], [2, 5], [6, 1], [8, 1], [22, 1]], 5/25344],
[[[1, 2], [2, 5], [6, 1], [10, 1], [22, 1]], 37/63360],
[[[1, 2], [2, 5], [6, 1], [10, 2], [14, 1]], 121/201600],
[[[1, 2], [2, 5], [6, 1], [10, 2], [18, 1]], 7/21600],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 2]], 11/230400],
[[[1, 2], [2, 5], [6, 2], [14, 1], [18, 1]], 5/6048],
[[[1, 2], [2, 5], [6, 3], [8, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 5], [6, 3], [8, 1], [18, 1]], 5/41472],
[[[1, 2], [2, 5], [6, 3], [10, 1], [14, 1]], 23/241920],
[[[1, 2], [2, 5], [6, 3], [10, 1], [18, 1]], 17/51840],
[[[1, 2], [2, 5], [6, 4], [8, 1], [10, 1]], 7/622080],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 5]], 3023/35831808],
[[[1, 2], [2, 7], [3, 1], [4, 1], [22, 1]], 17/1520640],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 4]], 85/2985984],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 2]], 7/460800],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 3]], 467/29859840],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 2]], 1/442368],
[[[1, 2], [2, 7], [3, 1], [6, 1], [11, 1]], 1/6082560],
[[[1, 2], [2, 7], [3, 1], [6, 1], [22, 1]], 5/55296],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 2]], 793/1382400],
[[[1, 2], [2, 7], [3, 1], [6, 3], [14, 1]], 4943/8709120],
[[[1, 2], [2, 7], [3, 1], [6, 3], [18, 1]], 493/1492992],
[[[1, 2], [2, 7], [3, 1], [6, 4], [8, 1]], 1/55296],
[[[1, 2], [2, 7], [3, 1], [6, 4], [10, 1]], 1997/5598720],
[[[1, 2], [2, 7], [3, 1], [8, 1], [10, 2]], 7/864000],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 4]], 7/1119744],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 3]], 1/34560],
[[[1, 2], [2, 7], [3, 2], [4, 2], [9, 1]], 1/3317760],
[[[1, 2], [2, 7], [3, 2], [4, 3], [8, 1]], 1/8847360],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 2]], 1/129600],
[[[1, 2], [2, 7], [3, 2], [6, 2], [14, 1]], 1/45360],
[[[1, 2], [2, 7], [3, 2], [6, 2], [18, 1]], 7/933120],
[[[1, 2], [2, 7], [3, 2], [6, 3], [8, 1]], 43/3732480],
[[[1, 2], [2, 7], [3, 2], [6, 3], [10, 1]], 4769/22394880],
[[[1, 2], [2, 7], [3, 2], [10, 1], [14, 1]], 1/518400],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 3]], 1/331776],
[[[1, 2], [2, 7], [3, 3], [6, 1], [9, 1]], 1/14929920],
[[[1, 2], [2, 7], [3, 4], [4, 1], [6, 2]], 1/6635520],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 4]], 13/1244160],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 2]], 2699/23040000],
[[[1, 2], [2, 7], [4, 1], [5, 2], [10, 1]], 11/4608000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [22, 1]], 3/11264],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 2]], 1/49152],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 2]], 301/614400],
[[[1, 2], [2, 7], [4, 1], [6, 3], [14, 1]], 481/995328],
[[[1, 2], [2, 7], [4, 1], [6, 3], [18, 1]], 131/331776],
[[[1, 2], [2, 7], [4, 1], [6, 4], [8, 1]], 29/331776],
[[[1, 2], [2, 7], [4, 1], [6, 4], [10, 1]], 473/2488320],
[[[1, 2], [2, 7], [4, 1], [6, 4], [12, 1]], 13/746496],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 2]], 47/307200],
[[[1, 2], [2, 7], [4, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 2], [2, 7], [4, 1], [10, 2], [12, 1]], 7/432000],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 3]], 43/3110400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [7, 1]], 1/4300800],
[[[1, 2], [2, 7], [4, 2], [5, 1], [14, 1]], 1/201600],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 2]], 1/18432],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 2]], 21/102400],
[[[1, 2], [2, 7], [4, 2], [6, 2], [14, 1]], 139/368640],
[[[1, 2], [2, 7], [4, 2], [6, 2], [18, 1]], 503/3317760],
[[[1, 2], [2, 7], [4, 2], [6, 3], [8, 1]], 349/1990656],
[[[1, 2], [2, 7], [4, 2], [6, 3], [10, 1]], 83/368640],
[[[1, 2], [2, 7], [4, 2], [6, 3], [12, 1]], 43/1866240],
[[[1, 2], [2, 7], [4, 2], [8, 1], [14, 1]], 1/11520],
[[[1, 2], [2, 7], [4, 2], [10, 1], [14, 1]], 41/204800],
[[[1, 2], [2, 7], [4, 2], [12, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 7], [4, 3], [5, 1], [8, 1]], 1/2457600],
[[[1, 2], [2, 7], [4, 3], [5, 1], [10, 1]], 23/5529600],
[[[1, 2], [2, 7], [4, 3], [6, 1], [14, 1]], 1/24192],
[[[1, 2], [2, 7], [4, 3], [6, 1], [18, 1]], 13/829440],
[[[1, 2], [2, 7], [4, 3], [6, 2], [8, 1]], 17/294912],
[[[1, 2], [2, 7], [4, 3], [6, 2], [10, 1]], 493/8294400],
[[[1, 2], [2, 7], [4, 3], [8, 1], [10, 1]], 7/245760],
[[[1, 2], [2, 7], [4, 4], [6, 1], [8, 1]], 1/34560],
[[[1, 2], [2, 7], [4, 4], [6, 1], [10, 1]], 119/11059200],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 2]], 337/1152000],
[[[1, 2], [2, 7], [5, 1], [6, 2], [14, 1]], 1/28800],
[[[1, 2], [2, 7], [5, 1], [6, 2], [18, 1]], 7/259200],
[[[1, 2], [2, 7], [5, 1], [6, 3], [10, 1]], 1459/12441600],
[[[1, 2], [2, 7], [5, 1], [10, 1], [14, 1]], 29/336000],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 2]], 7/115200],
[[[1, 2], [2, 7], [6, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 7], [6, 2], [8, 1], [14, 1]], 11/161280],
[[[1, 2], [2, 7], [6, 2], [8, 1], [18, 1]], 59/829440],
[[[1, 2], [2, 7], [6, 2], [10, 1], [14, 1]], 73/102400],
[[[1, 2], [2, 7], [6, 2], [10, 1], [18, 1]], 1757/4147200],
[[[1, 2], [2, 7], [6, 3], [8, 1], [10, 1]], 13/311040],
[[[1, 2], [2, 7], [8, 1], [10, 1], [14, 1]], 89/3225600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 4]], 5827/89579520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 2]], 1/6635520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 2]], 109/48384000],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 3]], 8249/836075520],
[[[1, 2], [2, 9], [3, 1], [4, 2], [14, 1]], 1/967680],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 2]], 689/358318080],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 1]], 1/35389440],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 2]], 5233/129024000],
[[[1, 2], [2, 9], [3, 1], [6, 2], [14, 1]], 3163/32514048],
[[[1, 2], [2, 9], [3, 1], [6, 2], [18, 1]], 13631/627056640],
[[[1, 2], [2, 9], [3, 1], [6, 3], [8, 1]], 151/23224320],
[[[1, 2], [2, 9], [3, 1], [6, 3], [10, 1]], 56977/313528320],
[[[1, 2], [2, 9], [3, 1], [8, 1], [14, 1]], 1/1161216],
[[[1, 2], [2, 9], [3, 1], [10, 1], [14, 1]], 1/2073600],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 3]], 43/14929920],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 2]], 1/2654208],
[[[1, 2], [2, 9], [3, 2], [6, 1], [14, 1]], 1/1451520],
[[[1, 2], [2, 9], [3, 2], [6, 1], [18, 1]], 1/5598720],
[[[1, 2], [2, 9], [3, 2], [6, 2], [8, 1]], 169/313528320],
[[[1, 2], [2, 9], [3, 2], [6, 2], [10, 1]], 12899/2090188800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 3]], 19/7257600],
[[[1, 2], [2, 9], [4, 1], [5, 1], [14, 1]], 1/967680],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 2]], 1/368640],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 2]], 829/4608000],
[[[1, 2], [2, 9], [4, 1], [6, 2], [14, 1]], 451/2322432],
[[[1, 2], [2, 9], [4, 1], [6, 2], [18, 1]], 1679/23224320],
[[[1, 2], [2, 9], [4, 1], [6, 3], [8, 1]], 1/18432],
[[[1, 2], [2, 9], [4, 1], [6, 3], [10, 1]], 5119/24883200],
[[[1, 2], [2, 9], [4, 1], [6, 3], [12, 1]], 19/4354560],
[[[1, 2], [2, 9], [4, 1], [8, 1], [14, 1]], 23/1290240],
[[[1, 2], [2, 9], [4, 1], [10, 1], [14, 1]], 6749/90316800],
[[[1, 2], [2, 9], [4, 1], [12, 1], [14, 1]], 1/580608],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 2]], 169/116121600],
[[[1, 2], [2, 9], [4, 2], [5, 1], [8, 1]], 1/5529600],
[[[1, 2], [2, 9], [4, 2], [5, 1], [10, 1]], 1429/774144000],
[[[1, 2], [2, 9], [4, 2], [6, 1], [14, 1]], 61/1290240],
[[[1, 2], [2, 9], [4, 2], [6, 1], [18, 1]], 7/663552],
[[[1, 2], [2, 9], [4, 2], [6, 2], [8, 1]], 727/18579456],
[[[1, 2], [2, 9], [4, 2], [6, 2], [10, 1]], 7073/77414400],
[[[1, 2], [2, 9], [4, 2], [6, 2], [12, 1]], 169/69672960],
[[[1, 2], [2, 9], [4, 2], [8, 1], [10, 1]], 89/5160960],
[[[1, 2], [2, 9], [4, 2], [8, 1], [12, 1]], 1/3317760],
[[[1, 2], [2, 9], [4, 2], [10, 1], [12, 1]], 43/58060800],
[[[1, 2], [2, 9], [4, 3], [6, 1], [8, 1]], 7/983040],
[[[1, 2], [2, 9], [4, 3], [6, 1], [10, 1]], 4801/464486400],
[[[1, 2], [2, 9], [5, 1], [6, 1], [14, 1]], 1/403200],
[[[1, 2], [2, 9], [5, 1], [6, 1], [18, 1]], 1/1555200],
[[[1, 2], [2, 9], [5, 1], [6, 2], [10, 1]], 7403/232243200],
[[[1, 2], [2, 9], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 2], [2, 9], [6, 1], [8, 1], [14, 1]], 1/80640],
[[[1, 2], [2, 9], [6, 1], [8, 1], [18, 1]], 1/248832],
[[[1, 2], [2, 9], [6, 1], [10, 1], [14, 1]], 1241/6451200],
[[[1, 2], [2, 9], [6, 1], [10, 1], [18, 1]], 1097/24883200],
[[[1, 2], [2, 9], [6, 2], [8, 1], [10, 1]], 1031/58060800],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 3]], 52139/7524679680],
[[[1, 2], [2, 11], [3, 1], [4, 1], [14, 1]], 1/4300800],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 2]], 2117/2786918400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [8, 1]], 1/26542080],
[[[1, 2], [2, 11], [3, 1], [4, 2], [10, 1]], 43/464486400],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 1]], 8557/220723937280],
[[[1, 2], [2, 11], [3, 1], [6, 1], [14, 1]], 79/30105600],
[[[1, 2], [2, 11], [3, 1], [6, 1], [18, 1]], 1/22394880],
[[[1, 2], [2, 11], [3, 1], [6, 2], [8, 1]], 433/1393459200],
[[[1, 2], [2, 11], [3, 1], [6, 2], [10, 1]], 44657/3135283200],
[[[1, 2], [2, 11], [3, 1], [8, 1], [10, 1]], 73/1741824000],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 2]], 169/1254113280],
[[[1, 2], [2, 11], [3, 2], [6, 1], [8, 1]], 37/5518098432],
[[[1, 2], [2, 11], [3, 2], [6, 1], [10, 1]], 17/391910400],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 2]], 227/1741824000],
[[[1, 2], [2, 11], [4, 1], [5, 1], [10, 1]], 437/1658880000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [14, 1]], 3047/243855360],
[[[1, 2], [2, 11], [4, 1], [6, 1], [18, 1]], 47/23224320],
[[[1, 2], [2, 11], [4, 1], [6, 2], [8, 1]], 367/61931520],
[[[1, 2], [2, 11], [4, 1], [6, 2], [10, 1]], 8389/232243200],
[[[1, 2], [2, 11], [4, 1], [6, 2], [12, 1]], 227/1045094400],
[[[1, 2], [2, 11], [4, 1], [8, 1], [10, 1]], 419/154828800],
[[[1, 2], [2, 11], [4, 1], [10, 1], [12, 1]], 73/870912000],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 1]], 31/870912000],
[[[1, 2], [2, 11], [4, 2], [6, 1], [8, 1]], 1207/557383680],
[[[1, 2], [2, 11], [4, 2], [6, 1], [10, 1]], 1759/232243200],
[[[1, 2], [2, 11], [4, 2], [6, 1], [12, 1]], 31/522547200],
[[[1, 2], [2, 11], [5, 1], [6, 1], [10, 1]], 2087/1741824000],
[[[1, 2], [2, 11], [6, 1], [8, 1], [10, 1]], 119/99532800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 2]], 1753/8622028800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [8, 1]], 17/91968307200],
[[[1, 2], [2, 13], [3, 1], [4, 1], [10, 1]], 1271/114960384000],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 1]], 2753/183936614400],
[[[1, 2], [2, 13], [3, 1], [6, 1], [8, 1]], 1/247726080],
[[[1, 2], [2, 13], [3, 1], [6, 1], [10, 1]], 321649/1379524608000],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 1]], 37/22072393728],
[[[1, 2], [2, 13], [4, 1], [5, 1], [6, 1]], 1/547430400],
[[[1, 2], [2, 13], [4, 1], [6, 1], [8, 1]], 613/3715891200],
[[[1, 2], [2, 13], [4, 1], [6, 1], [10, 1]], 40123/27869184000],
[[[1, 2], [2, 13], [4, 1], [6, 1], [12, 1]], 1/328458240],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 1]], 55591/30901351219200],
[[[1, 3], [2, 2], [3, 1], [4, 3], [11, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 2]], 1/230400],
[[[1, 3], [2, 2], [3, 2], [4, 2], [11, 1]], 1/11264],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 2]], 1/1382400],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 4]], 1/331776],
[[[1, 3], [2, 2], [3, 2], [4, 3], [8, 2]], 1/36864],
[[[1, 3], [2, 2], [3, 2], [4, 4], [7, 1]], 1/387072],
[[[1, 3], [2, 2], [3, 2], [4, 4], [9, 1]], 1/165888],
[[[1, 3], [2, 2], [3, 2], [5, 1], [11, 1]], 1/15840],
[[[1, 3], [2, 2], [3, 2], [5, 2], [7, 1]], 1/50400],
[[[1, 3], [2, 2], [3, 2], [5, 2], [9, 1]], 1/10800],
[[[1, 3], [2, 2], [3, 2], [6, 1], [7, 2]], 1/3528],
[[[1, 3], [2, 2], [3, 2], [6, 2], [11, 1]], 19/28512],
[[[1, 3], [2, 2], [3, 2], [6, 2], [22, 1]], 1/4752],
[[[1, 3], [2, 2], [3, 2], [6, 4], [18, 1]], 1/11664],
[[[1, 3], [2, 2], [3, 2], [8, 1], [11, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 2], [10, 1], [11, 1]], 1/7920],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 4]], 1/82944],
[[[1, 3], [2, 2], [3, 3], [4, 3], [7, 1]], 1/580608],
[[[1, 3], [2, 2], [3, 3], [4, 3], [9, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 4], [5, 1]], 1/829440],
[[[1, 3], [2, 2], [3, 3], [4, 4], [8, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 3], [6, 1], [11, 1]], 1/14256],
[[[1, 3], [2, 2], [3, 3], [6, 1], [22, 1]], 1/9504],
[[[1, 3], [2, 2], [3, 3], [6, 3], [14, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 3], [6, 3], [18, 1]], 1/23328],
[[[1, 3], [2, 2], [3, 3], [6, 4], [8, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 4], [4, 2], [9, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 4], [5, 1], [9, 1]], 1/38880],
[[[1, 3], [2, 2], [3, 4], [6, 2], [7, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 4], [6, 2], [9, 1]], 19/69984],
[[[1, 3], [2, 2], [3, 4], [8, 1], [9, 1]], 1/31104],
[[[1, 3], [2, 2], [3, 4], [9, 1], [10, 1]], 1/19440],
[[[1, 3], [2, 2], [3, 5], [4, 2], [6, 2]], 1/82944],
[[[1, 3], [2, 2], [3, 5], [4, 3], [6, 1]], 7/8957952],
[[[1, 3], [2, 2], [3, 5], [6, 1], [9, 1]], 1/34992],
[[[1, 3], [2, 2], [3, 5], [6, 2], [8, 1]], 7/559872],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 2]], 1/3920],
[[[1, 3], [2, 2], [4, 1], [5, 2], [10, 2]], 1/2000],
[[[1, 3], [2, 2], [4, 1], [5, 3], [10, 1]], 1/20000],
[[[1, 3], [2, 2], [4, 1], [5, 3], [12, 1]], 1/12000],
[[[1, 3], [2, 2], [4, 1], [7, 1], [11, 1]], 1/1232],
[[[1, 3], [2, 2], [4, 2], [5, 1], [11, 1]], 9/28160],
[[[1, 3], [2, 2], [4, 2], [5, 1], [22, 1]], 1/3520],
[[[1, 3], [2, 2], [4, 2], [5, 2], [7, 1]], 9/89600],
[[[1, 3], [2, 2], [4, 2], [8, 1], [11, 1]], 1/5632],
[[[1, 3], [2, 2], [4, 2], [10, 1], [11, 1]], 1/3520],
[[[1, 3], [2, 2], [4, 2], [11, 1], [12, 1]], 1/2112],
[[[1, 3], [2, 2], [4, 2], [12, 1], [22, 1]], 1/2112],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 2]], 1/10240],
[[[1, 3], [2, 2], [4, 3], [5, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 2], [4, 3], [5, 2], [10, 1]], 1/76800],
[[[1, 3], [2, 2], [4, 4], [5, 1], [7, 1]], 1/71680],
[[[1, 3], [2, 2], [4, 4], [6, 2], [18, 1]], 1/165888],
[[[1, 3], [2, 2], [4, 4], [10, 1], [14, 1]], 1/215040],
[[[1, 3], [2, 2], [4, 5], [6, 2], [8, 1]], 1/442368],
[[[1, 3], [2, 2], [4, 5], [8, 1], [10, 1]], 1/122880],
[[[1, 3], [2, 2], [5, 1], [6, 2], [11, 1]], 1/7920],
[[[1, 3], [2, 2], [5, 1], [8, 1], [11, 1]], 1/3520],
[[[1, 3], [2, 2], [5, 1], [10, 1], [11, 1]], 1/2200],
[[[1, 3], [2, 2], [5, 2], [6, 2], [7, 1]], 1/25200],
[[[1, 3], [2, 2], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 3], [2, 2], [5, 2], [7, 1], [10, 1]], 3/3500],
[[[1, 3], [2, 2], [5, 3], [6, 1], [8, 1]], 1/24000],
[[[1, 3], [2, 2], [6, 2], [8, 1], [22, 1]], 1/76032],
[[[1, 3], [2, 2], [6, 4], [8, 1], [18, 1]], 1/186624],
[[[1, 3], [2, 2], [8, 1], [10, 1], [22, 1]], 1/21120],
[[[1, 3], [2, 2], [8, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 6]], 1/6718464],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 3]], 1/32000],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 5]], 7/663552],
[[[1, 3], [2, 4], [3, 1], [4, 2], [22, 1]], 1/5632],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 4]], 17/746496],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 3]], 1/73728],
[[[1, 3], [2, 4], [3, 1], [4, 4], [7, 1]], 1/258048],
[[[1, 3], [2, 4], [3, 1], [4, 4], [9, 1]], 1/110592],
[[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1]], 1/368640],
[[[1, 3], [2, 4], [3, 1], [4, 5], [8, 1]], 5/147456],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 5]], 7/466560],
[[[1, 3], [2, 4], [3, 1], [5, 1], [11, 1]], 1/126720],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 3]], 1/86400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [7, 1]], 1/403200],
[[[1, 3], [2, 4], [3, 1], [5, 3], [6, 1]], 1/48000],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 3]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [6, 1], [14, 2]], 1/4704],
[[[1, 3], [2, 4], [3, 1], [6, 2], [11, 1]], 1/6336],
[[[1, 3], [2, 4], [3, 1], [6, 2], [22, 1]], 29/76032],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 2]], 1/12960],
[[[1, 3], [2, 4], [3, 1], [6, 4], [14, 1]], 1/54432],
[[[1, 3], [2, 4], [3, 1], [6, 4], [18, 1]], 37/186624],
[[[1, 3], [2, 4], [3, 1], [6, 5], [8, 1]], 7/746496],
[[[1, 3], [2, 4], [3, 1], [6, 5], [10, 1]], 7/933120],
[[[1, 3], [2, 4], [3, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 3], [2, 4], [3, 1], [8, 1], [22, 1]], 1/8448],
[[[1, 3], [2, 4], [3, 1], [10, 1], [22, 1]], 1/5280],
[[[1, 3], [2, 4], [3, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 5]], 11/139968],
[[[1, 3], [2, 4], [3, 2], [4, 1], [11, 1]], 1/152064],
[[[1, 3], [2, 4], [3, 2], [4, 1], [22, 1]], 1/12672],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 4]], 5/110592],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 2]], 1/36864],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 3]], 5/165888],
[[[1, 3], [2, 4], [3, 2], [4, 3], [9, 1]], 41/497664],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 2]], 1/147456],
[[[1, 3], [2, 4], [3, 2], [4, 4], [8, 1]], 7/221184],
[[[1, 3], [2, 4], [3, 2], [4, 4], [10, 1]], 1/276480],
[[[1, 3], [2, 4], [3, 2], [4, 4], [12, 1]], 1/165888],
[[[1, 3], [2, 4], [3, 2], [4, 5], [6, 1]], 1/221184],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 4]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [5, 1], [10, 2]], 1/7200],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 2]], 11/86400],
[[[1, 3], [2, 4], [3, 2], [5, 2], [8, 1]], 1/691200],
[[[1, 3], [2, 4], [3, 2], [5, 2], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 2], [6, 1], [11, 1]], 5/57024],
[[[1, 3], [2, 4], [3, 2], [6, 1], [22, 1]], 5/38016],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 2]], 103/259200],
[[[1, 3], [2, 4], [3, 2], [6, 3], [7, 1]], 1/36288],
[[[1, 3], [2, 4], [3, 2], [6, 3], [9, 1]], 1/15552],
[[[1, 3], [2, 4], [3, 2], [6, 3], [14, 1]], 79/108864],
[[[1, 3], [2, 4], [3, 2], [6, 3], [18, 1]], 47/93312],
[[[1, 3], [2, 4], [3, 2], [6, 4], [8, 1]], 139/1492992],
[[[1, 3], [2, 4], [3, 2], [6, 4], [10, 1]], 7/51840],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 4]], 1/41472],
[[[1, 3], [2, 4], [3, 3], [4, 1], [8, 2]], 1/165888],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 3]], 7/663552],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 2]], 1/27648],
[[[1, 3], [2, 4], [3, 3], [4, 4], [6, 1]], 1/221184],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 3]], 1/5760],
[[[1, 3], [2, 4], [3, 3], [5, 1], [7, 1]], 1/1451520],
[[[1, 3], [2, 4], [3, 3], [5, 1], [9, 1]], 1/311040],
[[[1, 3], [2, 4], [3, 3], [6, 1], [10, 2]], 1/17280],
[[[1, 3], [2, 4], [3, 3], [6, 2], [7, 1]], 1/18144],
[[[1, 3], [2, 4], [3, 3], [6, 2], [9, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 3], [6, 2], [14, 1]], 1/36288],
[[[1, 3], [2, 4], [3, 3], [6, 2], [18, 1]], 1/46656],
[[[1, 3], [2, 4], [3, 3], [6, 3], [8, 1]], 35/165888],
[[[1, 3], [2, 4], [3, 3], [6, 3], [10, 1]], 43/103680],
[[[1, 3], [2, 4], [3, 3], [7, 1], [8, 1]], 1/290304],
[[[1, 3], [2, 4], [3, 3], [8, 1], [9, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 3]], 1/10368],
[[[1, 3], [2, 4], [3, 4], [4, 1], [9, 1]], 1/373248],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 2]], 1/24576],
[[[1, 3], [2, 4], [3, 4], [5, 1], [6, 2]], 1/34560],
[[[1, 3], [2, 4], [3, 4], [6, 1], [9, 1]], 5/139968],
[[[1, 3], [2, 4], [3, 4], [6, 2], [8, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 4], [6, 2], [10, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 2]], 7/2239488],
[[[1, 3], [2, 4], [3, 5], [6, 1], [8, 1]], 7/4478976],
[[[1, 3], [2, 4], [4, 1], [5, 1], [11, 1]], 7/42240],
[[[1, 3], [2, 4], [4, 1], [5, 1], [22, 1]], 3/7040],
[[[1, 3], [2, 4], [4, 1], [5, 2], [7, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 1], [5, 3], [6, 1]], 1/96000],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 4], [4, 1], [6, 1], [14, 2]], 1/4704],
[[[1, 3], [2, 4], [4, 1], [6, 2], [11, 1]], 1/12672],
[[[1, 3], [2, 4], [4, 1], [6, 2], [22, 1]], 19/304128],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 2]], 1/86400],
[[[1, 3], [2, 4], [4, 1], [6, 4], [18, 1]], 19/746496],
[[[1, 3], [2, 4], [4, 1], [8, 1], [11, 1]], 7/33792],
[[[1, 3], [2, 4], [4, 1], [8, 1], [22, 1]], 5/16896],
[[[1, 3], [2, 4], [4, 1], [10, 1], [11, 1]], 7/21120],
[[[1, 3], [2, 4], [4, 1], [10, 1], [22, 1]], 1/1536],
[[[1, 3], [2, 4], [4, 1], [10, 2], [14, 1]], 103/268800],
[[[1, 3], [2, 4], [4, 1], [11, 1], [12, 1]], 1/12672],
[[[1, 3], [2, 4], [4, 1], [12, 1], [22, 1]], 1/4224],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 4]], 7/622080],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 2]], 1/10240],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 2]], 183/256000],
[[[1, 3], [2, 4], [4, 2], [5, 2], [8, 1]], 1/12800],
[[[1, 3], [2, 4], [4, 2], [5, 2], [10, 1]], 93/256000],
[[[1, 3], [2, 4], [4, 2], [5, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 4], [4, 2], [6, 1], [11, 1]], 1/5632],
[[[1, 3], [2, 4], [4, 2], [6, 1], [22, 1]], 1/1584],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 2]], 1/102400],
[[[1, 3], [2, 4], [4, 2], [6, 3], [14, 1]], 1/43008],
[[[1, 3], [2, 4], [4, 2], [6, 3], [18, 1]], 155/497664],
[[[1, 3], [2, 4], [4, 2], [6, 4], [12, 1]], 7/373248],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 2]], 9/51200],
[[[1, 3], [2, 4], [4, 2], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 4], [4, 2], [10, 2], [12, 1]], 1/3200],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 3]], 1/69120],
[[[1, 3], [2, 4], [4, 3], [5, 1], [7, 1]], 41/645120],
[[[1, 3], [2, 4], [4, 3], [5, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 2]], 1/4096],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 4], [4, 3], [6, 2], [14, 1]], 13/193536],
[[[1, 3], [2, 4], [4, 3], [6, 2], [18, 1]], 25/165888],
[[[1, 3], [2, 4], [4, 3], [6, 3], [8, 1]], 11/110592],
[[[1, 3], [2, 4], [4, 3], [6, 3], [10, 1]], 7/414720],
[[[1, 3], [2, 4], [4, 3], [6, 3], [12, 1]], 1/41472],
[[[1, 3], [2, 4], [4, 3], [7, 1], [8, 1]], 1/3584],
[[[1, 3], [2, 4], [4, 3], [7, 1], [10, 1]], 1/8960],
[[[1, 3], [2, 4], [4, 3], [7, 1], [12, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 3], [8, 1], [14, 1]], 5/14336],
[[[1, 3], [2, 4], [4, 3], [10, 1], [14, 1]], 53/215040],
[[[1, 3], [2, 4], [4, 3], [12, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 4], [5, 1], [8, 1]], 7/61440],
[[[1, 3], [2, 4], [4, 4], [5, 1], [10, 1]], 23/614400],
[[[1, 3], [2, 4], [4, 4], [5, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 4], [4, 4], [6, 1], [14, 1]], 5/129024],
[[[1, 3], [2, 4], [4, 4], [6, 1], [18, 1]], 1/82944],
[[[1, 3], [2, 4], [4, 4], [6, 2], [8, 1]], 11/147456],
[[[1, 3], [2, 4], [4, 4], [6, 2], [10, 1]], 11/552960],
[[[1, 3], [2, 4], [4, 4], [8, 1], [10, 1]], 17/122880],
[[[1, 3], [2, 4], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 5], [6, 1], [8, 1]], 13/442368],
[[[1, 3], [2, 4], [4, 5], [6, 1], [10, 1]], 1/122880],
[[[1, 3], [2, 4], [5, 1], [6, 1], [11, 1]], 1/31680],
[[[1, 3], [2, 4], [5, 1], [6, 1], [22, 1]], 1/2640],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 2]], 17/144000],
[[[1, 3], [2, 4], [5, 1], [6, 3], [14, 1]], 1/30240],
[[[1, 3], [2, 4], [5, 1], [6, 3], [18, 1]], 1/4320],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 2]], 3/12800],
[[[1, 3], [2, 4], [5, 2], [6, 1], [7, 1]], 1/100800],
[[[1, 3], [2, 4], [5, 2], [6, 2], [10, 1]], 1/7200],
[[[1, 3], [2, 4], [5, 2], [8, 1], [10, 1]], 7/38400],
[[[1, 3], [2, 4], [6, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 3], [2, 4], [6, 1], [8, 1], [22, 1]], 19/76032],
[[[1, 3], [2, 4], [6, 1], [10, 1], [22, 1]], 1/3520],
[[[1, 3], [2, 4], [6, 1], [10, 2], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [6, 1], [10, 2], [18, 1]], 1/7200],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 2]], 11/691200],
[[[1, 3], [2, 4], [6, 2], [14, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 4], [6, 3], [8, 1], [14, 1]], 1/41472],
[[[1, 3], [2, 4], [6, 3], [8, 1], [18, 1]], 19/124416],
[[[1, 3], [2, 4], [6, 3], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 4], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [6, 4], [8, 1], [10, 1]], 7/3732480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 5]], 527/2985984],
[[[1, 3], [2, 6], [3, 1], [4, 1], [11, 1]], 1/168960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [22, 1]], 53/760320],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2]], 1/4608000],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 4]], 73/331776],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 2]], 23/552960],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 2]], 1/14400],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 3]], 161/1990656],
[[[1, 3], [2, 6], [3, 1], [4, 3], [14, 1]], 1/43008],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 2]], 13/552960],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 1]], 7/589824],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 4]], 7/233280],
[[[1, 3], [2, 6], [3, 1], [5, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 2]], 1/345600],
[[[1, 3], [2, 6], [3, 1], [5, 2], [10, 1]], 1/230400],
[[[1, 3], [2, 6], [3, 1], [6, 1], [11, 1]], 1/202752],
[[[1, 3], [2, 6], [3, 1], [6, 1], [22, 1]], 2143/6082560],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 2]], 509/691200],
[[[1, 3], [2, 6], [3, 1], [6, 3], [14, 1]], 725/870912],
[[[1, 3], [2, 6], [3, 1], [6, 3], [18, 1]], 389/552960],
[[[1, 3], [2, 6], [3, 1], [6, 4], [8, 1]], 31/497664],
[[[1, 3], [2, 6], [3, 1], [6, 4], [10, 1]], 433/1866240],
[[[1, 3], [2, 6], [3, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2]], 1/27648000],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 4]], 11843/35831808],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 2]], 1/442368],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 2]], 7/345600],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 3]], 13/110592],
[[[1, 3], [2, 6], [3, 2], [4, 2], [7, 1]], 1/7741440],
[[[1, 3], [2, 6], [3, 2], [4, 2], [9, 1]], 7/1105920],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 2]], 41/368640],
[[[1, 3], [2, 6], [3, 2], [4, 3], [8, 1]], 7/2654208],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 1]], 1/1327104],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [5, 1], [7, 1]], 1/58060800],
[[[1, 3], [2, 6], [3, 2], [5, 1], [9, 1]], 1/12441600],
[[[1, 3], [2, 6], [3, 2], [5, 2], [6, 1]], 1/1382400],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 2]], 11/207360],
[[[1, 3], [2, 6], [3, 2], [6, 2], [7, 1]], 1/145152],
[[[1, 3], [2, 6], [3, 2], [6, 2], [9, 1]], 1/62208],
[[[1, 3], [2, 6], [3, 2], [6, 2], [14, 1]], 71/362880],
[[[1, 3], [2, 6], [3, 2], [6, 2], [18, 1]], 5/93312],
[[[1, 3], [2, 6], [3, 2], [6, 3], [8, 1]], 7/62208],
[[[1, 3], [2, 6], [3, 2], [6, 3], [10, 1]], 1601/1866240],
[[[1, 3], [2, 6], [3, 2], [8, 1], [9, 1]], 1/497664],
[[[1, 3], [2, 6], [3, 2], [10, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 3]], 11/73728],
[[[1, 3], [2, 6], [3, 3], [4, 1], [7, 1]], 1/11612160],
[[[1, 3], [2, 6], [3, 3], [4, 1], [9, 1]], 13/4976640],
[[[1, 3], [2, 6], [3, 3], [4, 2], [5, 1]], 1/16588800],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 2]], 1/55296],
[[[1, 3], [2, 6], [3, 3], [4, 2], [8, 1]], 1/1105920],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 3], [2, 6], [3, 3], [5, 1], [10, 1]], 1/829440],
[[[1, 3], [2, 6], [3, 3], [6, 1], [7, 1]], 1/580608],
[[[1, 3], [2, 6], [3, 3], [6, 1], [9, 1]], 1/165888],
[[[1, 3], [2, 6], [3, 3], [6, 1], [14, 1]], 1/725760],
[[[1, 3], [2, 6], [3, 3], [6, 2], [8, 1]], 1/51840],
[[[1, 3], [2, 6], [3, 3], [6, 2], [10, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 2]], 1/331776],
[[[1, 3], [2, 6], [3, 5], [4, 1], [6, 1]], 7/179159040],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 4]], 37/1244160],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 2]], 1/122880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 2]], 427/512000],
[[[1, 3], [2, 6], [4, 1], [5, 2], [8, 1]], 1/307200],
[[[1, 3], [2, 6], [4, 1], [5, 2], [10, 1]], 551/4608000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [11, 1]], 1/33792],
[[[1, 3], [2, 6], [4, 1], [6, 1], [22, 1]], 13/19008],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 2]], 1/9216],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 2]], 1133/2764800],
[[[1, 3], [2, 6], [4, 1], [6, 3], [14, 1]], 149/387072],
[[[1, 3], [2, 6], [4, 1], [6, 3], [18, 1]], 343/497664],
[[[1, 3], [2, 6], [4, 1], [6, 4], [8, 1]], 107/2985984],
[[[1, 3], [2, 6], [4, 1], [6, 4], [10, 1]], 709/14929920],
[[[1, 3], [2, 6], [4, 1], [6, 4], [12, 1]], 23/746496],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 2]], 13/38400],
[[[1, 3], [2, 6], [4, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 6], [4, 1], [10, 2], [12, 1]], 1/14400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 3]], 19/311040],
[[[1, 3], [2, 6], [4, 2], [5, 1], [7, 1]], 23/4300800],
[[[1, 3], [2, 6], [4, 2], [5, 1], [14, 1]], 1/16800],
[[[1, 3], [2, 6], [4, 2], [5, 2], [6, 1]], 1/153600],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 2]], 1/4096],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 2]], 253/460800],
[[[1, 3], [2, 6], [4, 2], [6, 2], [14, 1]], 337/387072],
[[[1, 3], [2, 6], [4, 2], [6, 2], [18, 1]], 1157/1990656],
[[[1, 3], [2, 6], [4, 2], [6, 3], [8, 1]], 289/663552],
[[[1, 3], [2, 6], [4, 2], [6, 3], [10, 1]], 31/92160],
[[[1, 3], [2, 6], [4, 2], [6, 3], [12, 1]], 19/186624],
[[[1, 3], [2, 6], [4, 2], [7, 1], [8, 1]], 1/86016],
[[[1, 3], [2, 6], [4, 2], [8, 1], [14, 1]], 43/86016],
[[[1, 3], [2, 6], [4, 2], [10, 1], [14, 1]], 449/516096],
[[[1, 3], [2, 6], [4, 2], [12, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 2]], 7/184320],
[[[1, 3], [2, 6], [4, 3], [5, 1], [8, 1]], 31/409600],
[[[1, 3], [2, 6], [4, 3], [5, 1], [10, 1]], 983/5529600],
[[[1, 3], [2, 6], [4, 3], [6, 1], [7, 1]], 1/43008],
[[[1, 3], [2, 6], [4, 3], [6, 1], [14, 1]], 23/55296],
[[[1, 3], [2, 6], [4, 3], [6, 1], [18, 1]], 7/82944],
[[[1, 3], [2, 6], [4, 3], [6, 2], [8, 1]], 91/196608],
[[[1, 3], [2, 6], [4, 3], [6, 2], [10, 1]], 41/138240],
[[[1, 3], [2, 6], [4, 3], [6, 2], [12, 1]], 7/110592],
[[[1, 3], [2, 6], [4, 3], [8, 1], [10, 1]], 179/491520],
[[[1, 3], [2, 6], [4, 3], [8, 1], [12, 1]], 19/138240],
[[[1, 3], [2, 6], [4, 3], [10, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 1]], 1/368640],
[[[1, 3], [2, 6], [4, 4], [6, 1], [8, 1]], 23/147456],
[[[1, 3], [2, 6], [4, 4], [6, 1], [10, 1]], 25/442368],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 2]], 79/115200],
[[[1, 3], [2, 6], [5, 1], [6, 2], [14, 1]], 1/6720],
[[[1, 3], [2, 6], [5, 1], [6, 2], [18, 1]], 1/5760],
[[[1, 3], [2, 6], [5, 1], [6, 3], [10, 1]], 371/2073600],
[[[1, 3], [2, 6], [5, 1], [7, 1], [8, 1]], 1/645120],
[[[1, 3], [2, 6], [5, 1], [10, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 6], [5, 2], [6, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 2]], 1/8640],
[[[1, 3], [2, 6], [6, 1], [14, 1], [18, 1]], 5/18144],
[[[1, 3], [2, 6], [6, 2], [8, 1], [14, 1]], 131/967680],
[[[1, 3], [2, 6], [6, 2], [8, 1], [18, 1]], 251/1244160],
[[[1, 3], [2, 6], [6, 2], [10, 1], [14, 1]], 149/322560],
[[[1, 3], [2, 6], [6, 2], [10, 1], [18, 1]], 7/13824],
[[[1, 3], [2, 6], [6, 3], [8, 1], [10, 1]], 221/3732480],
[[[1, 3], [2, 6], [8, 1], [10, 1], [14, 1]], 431/4838400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 4]], 16091/44789760],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 2]], 7/2211840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 2]], 1733/96768000],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 3]], 9109/39813120],
[[[1, 3], [2, 8], [3, 1], [4, 2], [7, 1]], 1/5160960],
[[[1, 3], [2, 8], [3, 1], [4, 2], [9, 1]], 1/2211840],
[[[1, 3], [2, 8], [3, 1], [4, 2], [14, 1]], 1/69120],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1]], 1/7372800],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 2]], 827/17418240],
[[[1, 3], [2, 8], [3, 1], [4, 3], [8, 1]], 53/8847360],
[[[1, 3], [2, 8], [3, 1], [4, 3], [10, 1]], 1/147456],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 1]], 307/123863040],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 3]], 43/3110400],
[[[1, 3], [2, 8], [3, 1], [5, 2], [6, 1]], 1/55296000],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 2]], 15643/77414400],
[[[1, 3], [2, 8], [3, 1], [6, 2], [14, 1]], 2027/4644864],
[[[1, 3], [2, 8], [3, 1], [6, 2], [18, 1]], 1283/9953280],
[[[1, 3], [2, 8], [3, 1], [6, 3], [8, 1]], 289/5971968],
[[[1, 3], [2, 8], [3, 1], [6, 3], [10, 1]], 1127/1990656],
[[[1, 3], [2, 8], [3, 1], [8, 1], [14, 1]], 1/138240],
[[[1, 3], [2, 8], [3, 1], [10, 1], [14, 1]], 13/1612800],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 3]], 13829/89579520],
[[[1, 3], [2, 8], [3, 2], [4, 1], [9, 1]], 1/9953280],
[[[1, 3], [2, 8], [3, 2], [4, 1], [14, 1]], 1/725760],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 2]], 91/4423680],
[[[1, 3], [2, 8], [3, 2], [4, 2], [8, 1]], 1/13271040],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 2]], 1/11059200],
[[[1, 3], [2, 8], [3, 2], [5, 1], [10, 1]], 17/33177600],
[[[1, 3], [2, 8], [3, 2], [6, 1], [7, 1]], 1/23224320],
[[[1, 3], [2, 8], [3, 2], [6, 1], [9, 1]], 1/9953280],
[[[1, 3], [2, 8], [3, 2], [6, 1], [14, 1]], 29/2903040],
[[[1, 3], [2, 8], [3, 2], [6, 1], [18, 1]], 1/311040],
[[[1, 3], [2, 8], [3, 2], [6, 2], [8, 1]], 869/69672960],
[[[1, 3], [2, 8], [3, 2], [6, 2], [10, 1]], 34241/348364800],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 2]], 1/331776],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 1]], 1/4423680],
[[[1, 3], [2, 8], [3, 3], [6, 1], [10, 1]], 1/1451520],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 3]], 169/6220800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [7, 1]], 1/12902400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [14, 1]], 11/806400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 2]], 7807/13824000],
[[[1, 3], [2, 8], [4, 1], [6, 2], [14, 1]], 851/1290240],
[[[1, 3], [2, 8], [4, 1], [6, 2], [18, 1]], 653/1990656],
[[[1, 3], [2, 8], [4, 1], [6, 3], [8, 1]], 2537/14929920],
[[[1, 3], [2, 8], [4, 1], [6, 3], [10, 1]], 34927/74649600],
[[[1, 3], [2, 8], [4, 1], [6, 3], [12, 1]], 83/3732480],
[[[1, 3], [2, 8], [4, 1], [8, 1], [14, 1]], 143/1290240],
[[[1, 3], [2, 8], [4, 1], [10, 1], [14, 1]], 13891/38707200],
[[[1, 3], [2, 8], [4, 1], [12, 1], [14, 1]], 1/69120],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 2]], 17/829440],
[[[1, 3], [2, 8], [4, 2], [5, 1], [8, 1]], 1/245760],
[[[1, 3], [2, 8], [4, 2], [5, 1], [10, 1]], 1907/43008000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [14, 1]], 3209/7741440],
[[[1, 3], [2, 8], [4, 2], [6, 1], [18, 1]], 229/2488320],
[[[1, 3], [2, 8], [4, 2], [6, 2], [8, 1]], 2831/8847360],
[[[1, 3], [2, 8], [4, 2], [6, 2], [10, 1]], 5909/11059200],
[[[1, 3], [2, 8], [4, 2], [6, 2], [12, 1]], 17/497664],
[[[1, 3], [2, 8], [4, 2], [8, 1], [10, 1]], 1193/7372800],
[[[1, 3], [2, 8], [4, 2], [8, 1], [12, 1]], 7/1105920],
[[[1, 3], [2, 8], [4, 2], [10, 1], [12, 1]], 71/4838400],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 1]], 1/230400],
[[[1, 3], [2, 8], [4, 3], [6, 1], [8, 1]], 121/983040],
[[[1, 3], [2, 8], [4, 3], [6, 1], [10, 1]], 2953/22118400],
[[[1, 3], [2, 8], [4, 3], [6, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 8], [5, 1], [6, 1], [14, 1]], 1/28800],
[[[1, 3], [2, 8], [5, 1], [6, 1], [18, 1]], 1/86400],
[[[1, 3], [2, 8], [5, 1], [6, 2], [10, 1]], 8939/55296000],
[[[1, 3], [2, 8], [5, 1], [8, 1], [10, 1]], 23/1843200],
[[[1, 3], [2, 8], [6, 1], [8, 1], [14, 1]], 47/774144],
[[[1, 3], [2, 8], [6, 1], [8, 1], [18, 1]], 379/14929920],
[[[1, 3], [2, 8], [6, 1], [10, 1], [14, 1]], 193/430080],
[[[1, 3], [2, 8], [6, 1], [10, 1], [18, 1]], 1051/8294400],
[[[1, 3], [2, 8], [6, 2], [8, 1], [10, 1]], 5933/87091200],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 3]], 752839/7524679680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [14, 1]], 43/16588800],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 2]], 1651/61931520],
[[[1, 3], [2, 10], [3, 1], [4, 2], [8, 1]], 19/20643840],
[[[1, 3], [2, 10], [3, 1], [4, 2], [10, 1]], 67/33177600],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 1]], 66391/33443020800],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 2]], 169/261273600],
[[[1, 3], [2, 10], [3, 1], [5, 1], [10, 1]], 1/8294400],
[[[1, 3], [2, 10], [3, 1], [6, 1], [14, 1]], 63467/2438553600],
[[[1, 3], [2, 10], [3, 1], [6, 1], [18, 1]], 1/933120],
[[[1, 3], [2, 10], [3, 1], [6, 2], [8, 1]], 4421/836075520],
[[[1, 3], [2, 10], [3, 1], [6, 2], [10, 1]], 15527/149299200],
[[[1, 3], [2, 10], [3, 1], [8, 1], [10, 1]], 127/232243200],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 2]], 2939/501645312],
[[[1, 3], [2, 10], [3, 2], [4, 1], [8, 1]], 1/19906560],
[[[1, 3], [2, 10], [3, 2], [4, 1], [10, 1]], 43/348364800],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 1]], 19/61931520],
[[[1, 3], [2, 10], [3, 2], [6, 1], [8, 1]], 421/2090188800],
[[[1, 3], [2, 10], [3, 2], [6, 1], [10, 1]], 1/870912],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 2]], 97/33177600],
[[[1, 3], [2, 10], [4, 1], [5, 1], [8, 1]], 1/5529600],
[[[1, 3], [2, 10], [4, 1], [5, 1], [10, 1]], 1619/258048000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [14, 1]], 899/9031680],
[[[1, 3], [2, 10], [4, 1], [6, 1], [18, 1]], 3833/209018880],
[[[1, 3], [2, 10], [4, 1], [6, 2], [8, 1]], 25307/557383680],
[[[1, 3], [2, 10], [4, 1], [6, 2], [10, 1]], 72209/348364800],
[[[1, 3], [2, 10], [4, 1], [6, 2], [12, 1]], 341/139345920],
[[[1, 3], [2, 10], [4, 1], [8, 1], [10, 1]], 1181/51609600],
[[[1, 3], [2, 10], [4, 1], [10, 1], [12, 1]], 127/116121600],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 1]], 17/17418240],
[[[1, 3], [2, 10], [4, 2], [6, 1], [8, 1]], 2161/61931520],
[[[1, 3], [2, 10], [4, 2], [6, 1], [10, 1]], 14809/154828800],
[[[1, 3], [2, 10], [4, 2], [6, 1], [12, 1]], 17/10450944],
[[[1, 3], [2, 10], [5, 1], [6, 1], [10, 1]], 79/5529600],
[[[1, 3], [2, 10], [6, 1], [8, 1], [10, 1]], 205/20901888],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 2]], 6811/1313832960],
[[[1, 3], [2, 12], [3, 1], [4, 1], [8, 1]], 949/45984153600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [10, 1]], 10853/57480192000],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 1]], 5563/9083289600],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 1]], 37/4598415360],
[[[1, 3], [2, 12], [3, 1], [6, 1], [8, 1]], 3379/30656102400],
[[[1, 3], [2, 12], [3, 1], [6, 1], [10, 1]], 35909/11496038400],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 1]], 8773/137952460800],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 1]], 31/435456000],
[[[1, 3], [2, 12], [4, 1], [6, 1], [8, 1]], 1367/597196800],
[[[1, 3], [2, 12], [4, 1], [6, 1], [10, 1]], 165323/10450944000],
[[[1, 3], [2, 12], [4, 1], [6, 1], [12, 1]], 31/522547200],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 1]], 21083/315319910400],
[[[1, 3], [3, 1], [4, 2], [5, 1], [11, 1]], 1/10560],
[[[1, 3], [3, 1], [4, 2], [5, 2], [7, 1]], 1/33600],
[[[1, 3], [3, 2], [4, 1], [8, 1], [11, 1]], 1/12672],
[[[1, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/1728],
[[[1, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [3, 2], [5, 1], [7, 1], [9, 1]], 1/1890],
[[[1, 3], [3, 3], [4, 2], [5, 1], [7, 1]], 1/120960],
[[[1, 3], [3, 3], [4, 2], [5, 1], [9, 1]], 1/25920],
[[[1, 3], [3, 4], [4, 1], [8, 1], [9, 1]], 1/31104],
[[[1, 3], [4, 1], [5, 1], [8, 1], [11, 1]], 1/3520],
[[[1, 3], [4, 1], [5, 2], [7, 1], [8, 1]], 1/11200],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 3]], 1/96000],
[[[1, 4], [2, 1], [3, 1], [4, 3], [11, 1]], 5/76032],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 2]], 1/1470],
[[[1, 4], [2, 1], [3, 1], [7, 1], [11, 1]], 1/924],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 2]], 1/7056],
[[[1, 4], [2, 1], [3, 2], [4, 2], [11, 1]], 5/50688],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 2]], 29/1382400],
[[[1, 4], [2, 1], [3, 2], [5, 1], [11, 1]], 1/7920],
[[[1, 4], [2, 1], [3, 2], [5, 2], [7, 1]], 1/12600],
[[[1, 4], [2, 1], [3, 2], [5, 2], [9, 1]], 1/5400],
[[[1, 4], [2, 1], [3, 2], [6, 1], [7, 2]], 1/3528],
[[[1, 4], [2, 1], [3, 2], [8, 1], [11, 1]], 1/25344],
[[[1, 4], [2, 1], [3, 3], [4, 1], [11, 1]], 1/6336],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 2]], 1/345600],
[[[1, 4], [2, 1], [3, 3], [4, 2], [8, 2]], 1/27648],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 3]], 1/331776],
[[[1, 4], [2, 1], [3, 3], [4, 3], [7, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 3], [4, 3], [9, 1]], 7/248832],
[[[1, 4], [2, 1], [3, 3], [6, 1], [11, 1]], 1/3168],
[[[1, 4], [2, 1], [3, 3], [7, 1], [9, 1]], 1/1512],
[[[1, 4], [2, 1], [3, 4], [4, 2], [7, 1]], 1/145152],
[[[1, 4], [2, 1], [3, 4], [4, 2], [9, 1]], 7/124416],
[[[1, 4], [2, 1], [3, 4], [4, 3], [5, 1]], 43/7464960],
[[[1, 4], [2, 1], [3, 4], [4, 3], [8, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 4], [5, 1], [9, 1]], 1/19440],
[[[1, 4], [2, 1], [3, 4], [6, 3], [8, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 4], [8, 1], [9, 1]], 1/62208],
[[[1, 4], [2, 1], [3, 5], [4, 1], [9, 1]], 1/15552],
[[[1, 4], [2, 1], [3, 5], [6, 1], [7, 1]], 1/23328],
[[[1, 4], [2, 1], [3, 5], [6, 1], [9, 1]], 1/7776],
[[[1, 4], [2, 1], [3, 6], [4, 1], [10, 1]], 1/1399680],
[[[1, 4], [2, 1], [3, 6], [4, 1], [12, 1]], 1/839808],
[[[1, 4], [2, 1], [3, 6], [4, 2], [6, 1]], 7/2239488],
[[[1, 4], [2, 1], [3, 6], [6, 1], [8, 1]], 1/1679616],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 2]], 3/3920],
[[[1, 4], [2, 1], [4, 1], [5, 3], [8, 1]], 1/32000],
[[[1, 4], [2, 1], [4, 1], [5, 3], [10, 1]], 1/20000],
[[[1, 4], [2, 1], [4, 1], [5, 3], [12, 1]], 1/12000],
[[[1, 4], [2, 1], [4, 1], [7, 1], [11, 1]], 1/1232],
[[[1, 4], [2, 1], [4, 2], [5, 1], [11, 1]], 1/14080],
[[[1, 4], [2, 1], [4, 2], [5, 2], [7, 1]], 1/44800],
[[[1, 4], [2, 1], [4, 2], [8, 1], [11, 1]], 1/5632],
[[[1, 4], [2, 1], [5, 1], [8, 1], [11, 1]], 1/7040],
[[[1, 4], [2, 1], [5, 2], [7, 1], [8, 1]], 1/22400],
[[[1, 4], [2, 1], [5, 2], [7, 1], [10, 1]], 1/1400],
[[[1, 4], [2, 1], [5, 3], [6, 1], [8, 1]], 1/24000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3]], 1/24000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 2]], 1/4704],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 3]], 1/96000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [11, 1]], 1/1584],
[[[1, 4], [2, 3], [3, 1], [4, 2], [22, 1]], 1/5632],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2]], 1/14400],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 2]], 1/4096],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 3]], 1/221184],
[[[1, 4], [2, 3], [3, 1], [4, 4], [7, 1]], 5/129024],
[[[1, 4], [2, 3], [3, 1], [4, 4], [9, 1]], 1/82944],
[[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1]], 1/122880],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 2]], 1/221184],
[[[1, 4], [2, 3], [3, 1], [4, 5], [8, 1]], 13/442368],
[[[1, 4], [2, 3], [3, 1], [5, 1], [11, 1]], 1/3520],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 3]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [5, 2], [7, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [5, 2], [9, 1]], 1/7200],
[[[1, 4], [2, 3], [3, 1], [5, 3], [6, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 2]], 1/4704],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 3]], 1/48000],
[[[1, 4], [2, 3], [3, 1], [6, 2], [11, 1]], 5/38016],
[[[1, 4], [2, 3], [3, 1], [6, 2], [22, 1]], 5/57024],
[[[1, 4], [2, 3], [3, 1], [6, 4], [18, 1]], 5/139968],
[[[1, 4], [2, 3], [3, 1], [6, 5], [8, 1]], 7/4478976],
[[[1, 4], [2, 3], [3, 1], [8, 1], [11, 1]], 19/76032],
[[[1, 4], [2, 3], [3, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 4], [2, 3], [3, 1], [10, 1], [11, 1]], 1/2640],
[[[1, 4], [2, 3], [3, 1], [10, 1], [22, 1]], 1/31680],
[[[1, 4], [2, 3], [3, 1], [10, 2], [14, 1]], 1/100800],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 5]], 7/2239488],
[[[1, 4], [2, 3], [3, 2], [4, 1], [11, 1]], 19/304128],
[[[1, 4], [2, 3], [3, 2], [4, 1], [22, 1]], 1/12672],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2]], 1/102400],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 4]], 1/24576],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 2]], 1/36864],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 3]], 1/27648],
[[[1, 4], [2, 3], [3, 2], [4, 3], [7, 1]], 13/193536],
[[[1, 4], [2, 3], [3, 2], [4, 3], [9, 1]], 25/165888],
[[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1]], 11/552960],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 2]], 1/147456],
[[[1, 4], [2, 3], [3, 2], [4, 4], [8, 1]], 11/147456],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 4]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 2]], 103/259200],
[[[1, 4], [2, 3], [3, 2], [5, 2], [8, 1]], 11/691200],
[[[1, 4], [2, 3], [3, 2], [5, 2], [10, 1]], 17/144000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [11, 1]], 29/76032],
[[[1, 4], [2, 3], [3, 2], [6, 1], [22, 1]], 1/6336],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 2]], 11/86400],
[[[1, 4], [2, 3], [3, 2], [6, 3], [7, 1]], 1/36288],
[[[1, 4], [2, 3], [3, 2], [6, 3], [9, 1]], 1/46656],
[[[1, 4], [2, 3], [3, 2], [6, 3], [14, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 2], [6, 3], [18, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [6, 4], [8, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 2], [6, 4], [10, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [7, 1], [9, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2]], 1/86400],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 4]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 2]], 1/27648],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 3]], 7/663552],
[[[1, 4], [2, 3], [3, 3], [4, 2], [7, 1]], 1/43008],
[[[1, 4], [2, 3], [3, 3], [4, 2], [9, 1]], 155/497664],
[[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1]], 7/414720],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 2]], 5/165888],
[[[1, 4], [2, 3], [3, 3], [4, 3], [8, 1]], 11/110592],
[[[1, 4], [2, 3], [3, 3], [4, 3], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 3], [4, 3], [12, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 3], [4, 4], [6, 1]], 1/73728],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 3]], 43/103680],
[[[1, 4], [2, 3], [3, 3], [5, 1], [7, 1]], 1/40320],
[[[1, 4], [2, 3], [3, 3], [5, 1], [9, 1]], 1/6480],
[[[1, 4], [2, 3], [3, 3], [5, 2], [6, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 3], [6, 1], [10, 2]], 1/86400],
[[[1, 4], [2, 3], [3, 3], [6, 2], [7, 1]], 79/108864],
[[[1, 4], [2, 3], [3, 3], [6, 2], [9, 1]], 47/93312],
[[[1, 4], [2, 3], [3, 3], [6, 2], [14, 1]], 1/36288],
[[[1, 4], [2, 3], [3, 3], [6, 2], [18, 1]], 1/15552],
[[[1, 4], [2, 3], [3, 3], [6, 3], [8, 1]], 35/165888],
[[[1, 4], [2, 3], [3, 3], [6, 3], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 3], [7, 1], [8, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 3], [7, 1], [10, 1]], 1/30240],
[[[1, 4], [2, 3], [3, 3], [8, 1], [9, 1]], 19/124416],
[[[1, 4], [2, 3], [3, 3], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 3]], 1/41472],
[[[1, 4], [2, 3], [3, 4], [4, 1], [9, 1]], 19/746496],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 2]], 5/110592],
[[[1, 4], [2, 3], [3, 4], [4, 2], [10, 1]], 7/622080],
[[[1, 4], [2, 3], [3, 4], [4, 2], [12, 1]], 7/373248],
[[[1, 4], [2, 3], [3, 4], [4, 3], [6, 1]], 17/746496],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 2]], 7/51840],
[[[1, 4], [2, 3], [3, 4], [5, 1], [8, 1]], 7/3732480],
[[[1, 4], [2, 3], [3, 4], [6, 1], [7, 1]], 1/54432],
[[[1, 4], [2, 3], [3, 4], [6, 1], [9, 1]], 37/186624],
[[[1, 4], [2, 3], [3, 4], [6, 2], [8, 1]], 139/1492992],
[[[1, 4], [2, 3], [3, 4], [6, 2], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 2]], 11/139968],
[[[1, 4], [2, 3], [3, 5], [4, 2], [6, 1]], 7/663552],
[[[1, 4], [2, 3], [3, 5], [5, 1], [6, 1]], 7/933120],
[[[1, 4], [2, 3], [3, 5], [6, 1], [8, 1]], 7/746496],
[[[1, 4], [2, 3], [3, 5], [6, 1], [10, 1]], 7/466560],
[[[1, 4], [2, 3], [3, 6], [4, 1], [6, 1]], 1/6718464],
[[[1, 4], [2, 3], [4, 1], [5, 1], [11, 1]], 1/1536],
[[[1, 4], [2, 3], [4, 1], [5, 1], [22, 1]], 7/21120],
[[[1, 4], [2, 3], [4, 1], [5, 2], [7, 1]], 103/268800],
[[[1, 4], [2, 3], [4, 1], [5, 3], [6, 1]], 1/32000],
[[[1, 4], [2, 3], [4, 1], [6, 2], [11, 1]], 1/12672],
[[[1, 4], [2, 3], [4, 1], [6, 2], [22, 1]], 1/152064],
[[[1, 4], [2, 3], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 4], [2, 3], [4, 1], [6, 4], [18, 1]], 1/373248],
[[[1, 4], [2, 3], [4, 1], [8, 1], [11, 1]], 5/16896],
[[[1, 4], [2, 3], [4, 1], [8, 1], [22, 1]], 7/33792],
[[[1, 4], [2, 3], [4, 1], [10, 1], [11, 1]], 3/7040],
[[[1, 4], [2, 3], [4, 1], [10, 1], [22, 1]], 7/42240],
[[[1, 4], [2, 3], [4, 1], [10, 2], [14, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 1], [11, 1], [12, 1]], 1/4224],
[[[1, 4], [2, 3], [4, 1], [12, 1], [22, 1]], 1/12672],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 2]], 1/10240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 2]], 93/256000],
[[[1, 4], [2, 3], [4, 2], [5, 2], [8, 1]], 9/51200],
[[[1, 4], [2, 3], [4, 2], [5, 2], [10, 1]], 183/256000],
[[[1, 4], [2, 3], [4, 2], [5, 2], [12, 1]], 1/3200],
[[[1, 4], [2, 3], [4, 2], [6, 1], [11, 1]], 1/5632],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 3], [4, 2], [8, 2], [10, 1]], 1/10240],
[[[1, 4], [2, 3], [4, 2], [10, 2], [12, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 3], [5, 1], [7, 1]], 53/215040],
[[[1, 4], [2, 3], [4, 3], [5, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 3], [6, 2], [18, 1]], 41/497664],
[[[1, 4], [2, 3], [4, 3], [7, 1], [8, 1]], 5/14336],
[[[1, 4], [2, 3], [4, 3], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 3], [7, 1], [12, 1]], 1/5376],
[[[1, 4], [2, 3], [4, 3], [8, 1], [14, 1]], 1/3584],
[[[1, 4], [2, 3], [4, 3], [10, 1], [14, 1]], 41/645120],
[[[1, 4], [2, 3], [4, 3], [12, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 2]], 1/276480],
[[[1, 4], [2, 3], [4, 4], [5, 1], [8, 1]], 17/122880],
[[[1, 4], [2, 3], [4, 4], [5, 1], [10, 1]], 23/614400],
[[[1, 4], [2, 3], [4, 4], [6, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 3], [4, 4], [6, 1], [18, 1]], 1/110592],
[[[1, 4], [2, 3], [4, 4], [6, 2], [8, 1]], 7/221184],
[[[1, 4], [2, 3], [4, 4], [6, 2], [12, 1]], 1/165888],
[[[1, 4], [2, 3], [4, 4], [8, 1], [10, 1]], 7/61440],
[[[1, 4], [2, 3], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 3], [4, 4], [10, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 3], [4, 5], [6, 1], [8, 1]], 5/147456],
[[[1, 4], [2, 3], [4, 5], [6, 1], [10, 1]], 1/368640],
[[[1, 4], [2, 3], [5, 1], [6, 1], [11, 1]], 1/5280],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 2]], 1/28800],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 2]], 7/38400],
[[[1, 4], [2, 3], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 4], [2, 3], [5, 2], [6, 2], [10, 1]], 1/7200],
[[[1, 4], [2, 3], [5, 2], [8, 1], [10, 1]], 3/12800],
[[[1, 4], [2, 3], [6, 1], [8, 1], [11, 1]], 1/8448],
[[[1, 4], [2, 3], [6, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 4], [2, 3], [6, 1], [10, 1], [22, 1]], 1/126720],
[[[1, 4], [2, 3], [6, 1], [10, 2], [14, 1]], 1/403200],
[[[1, 4], [2, 3], [6, 2], [8, 1], [10, 2]], 1/691200],
[[[1, 4], [2, 3], [6, 3], [8, 1], [14, 1]], 1/290304],
[[[1, 4], [2, 3], [6, 3], [8, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 3], [6, 3], [10, 1], [14, 1]], 1/1451520],
[[[1, 4], [2, 3], [6, 3], [10, 1], [18, 1]], 1/311040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 5]], 269/17915904],
[[[1, 4], [2, 5], [3, 1], [4, 1], [11, 1]], 1/11880],
[[[1, 4], [2, 5], [3, 1], [4, 1], [22, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2]], 7/230400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 4]], 7/36864],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 2]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 2]], 23/230400],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 3]], 131/663552],
[[[1, 4], [2, 5], [3, 1], [4, 3], [7, 1]], 41/774144],
[[[1, 4], [2, 5], [3, 1], [4, 3], [9, 1]], 41/331776],
[[[1, 4], [2, 5], [3, 1], [4, 3], [14, 1]], 1/14336],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1]], 17/442368],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 2]], 19/331776],
[[[1, 4], [2, 5], [3, 1], [4, 4], [8, 1]], 19/55296],
[[[1, 4], [2, 5], [3, 1], [4, 4], [10, 1]], 17/368640],
[[[1, 4], [2, 5], [3, 1], [4, 4], [12, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 1]], 25/1769472],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 4]], 7/77760],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 2]], 19/57600],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 2]], 11/345600],
[[[1, 4], [2, 5], [3, 1], [5, 2], [8, 1]], 1/115200],
[[[1, 4], [2, 5], [3, 1], [5, 2], [10, 1]], 37/230400],
[[[1, 4], [2, 5], [3, 1], [6, 1], [11, 1]], 101/1216512],
[[[1, 4], [2, 5], [3, 1], [6, 1], [22, 1]], 323/912384],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 2]], 667/2073600],
[[[1, 4], [2, 5], [3, 1], [6, 3], [7, 1]], 1/48384],
[[[1, 4], [2, 5], [3, 1], [6, 3], [14, 1]], 155/870912],
[[[1, 4], [2, 5], [3, 1], [6, 3], [18, 1]], 295/746496],
[[[1, 4], [2, 5], [3, 1], [6, 4], [8, 1]], 91/1492992],
[[[1, 4], [2, 5], [3, 1], [6, 4], [10, 1]], 457/5598720],
[[[1, 4], [2, 5], [3, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2]], 13/5529600],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 4]], 1715/2985984],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 2]], 1/27648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 3]], 233/497664],
[[[1, 4], [2, 5], [3, 2], [4, 2], [7, 1]], 1/387072],
[[[1, 4], [2, 5], [3, 2], [4, 2], [9, 1]], 17/221184],
[[[1, 4], [2, 5], [3, 2], [4, 2], [14, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1]], 1/552960],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 2]], 371/1990656],
[[[1, 4], [2, 5], [3, 2], [4, 3], [8, 1]], 23/589824],
[[[1, 4], [2, 5], [3, 2], [4, 3], [10, 1]], 17/552960],
[[[1, 4], [2, 5], [3, 2], [4, 3], [12, 1]], 5/110592],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 1]], 49/663552],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 3]], 1/6480],
[[[1, 4], [2, 5], [3, 2], [5, 1], [7, 1]], 1/215040],
[[[1, 4], [2, 5], [3, 2], [5, 1], [9, 1]], 7/414720],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 1]], 127/4147200],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 2]], 13/115200],
[[[1, 4], [2, 5], [3, 2], [6, 2], [7, 1]], 11/72576],
[[[1, 4], [2, 5], [3, 2], [6, 2], [9, 1]], 5/46656],
[[[1, 4], [2, 5], [3, 2], [6, 2], [14, 1]], 61/145152],
[[[1, 4], [2, 5], [3, 2], [6, 2], [18, 1]], 1/7776],
[[[1, 4], [2, 5], [3, 2], [6, 3], [8, 1]], 23/82944],
[[[1, 4], [2, 5], [3, 2], [6, 3], [10, 1]], 721/1244160],
[[[1, 4], [2, 5], [3, 2], [7, 1], [8, 1]], 5/387072],
[[[1, 4], [2, 5], [3, 2], [8, 1], [9, 1]], 7/165888],
[[[1, 4], [2, 5], [3, 2], [9, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 5], [3, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 3]], 997/1327104],
[[[1, 4], [2, 5], [3, 3], [4, 1], [7, 1]], 31/11612160],
[[[1, 4], [2, 5], [3, 3], [4, 1], [9, 1]], 191/4976640],
[[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1]], 1/829440],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 2]], 131/331776],
[[[1, 4], [2, 5], [3, 3], [4, 2], [8, 1]], 1/73728],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 1]], 133/1990656],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 2]], 11/69120],
[[[1, 4], [2, 5], [3, 3], [5, 1], [8, 1]], 1/829440],
[[[1, 4], [2, 5], [3, 3], [5, 1], [10, 1]], 13/829440],
[[[1, 4], [2, 5], [3, 3], [6, 1], [7, 1]], 43/1741824],
[[[1, 4], [2, 5], [3, 3], [6, 1], [9, 1]], 265/2985984],
[[[1, 4], [2, 5], [3, 3], [6, 1], [14, 1]], 1/72576],
[[[1, 4], [2, 5], [3, 3], [6, 2], [8, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 3], [6, 2], [10, 1]], 59/207360],
[[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1]], 67/149299200],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 2]], 571/5971968],
[[[1, 4], [2, 5], [3, 4], [4, 1], [8, 1]], 13/5971968],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 1]], 7/2985984],
[[[1, 4], [2, 5], [3, 4], [5, 1], [6, 1]], 1/414720],
[[[1, 4], [2, 5], [3, 4], [6, 1], [8, 1]], 7/746496],
[[[1, 4], [2, 5], [3, 5], [4, 1], [6, 1]], 7/8957952],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 4]], 49/3732480],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 2]], 367/256000],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 4], [2, 5], [4, 1], [5, 2], [8, 1]], 1/12800],
[[[1, 4], [2, 5], [4, 1], [5, 2], [10, 1]], 191/256000],
[[[1, 4], [2, 5], [4, 1], [5, 2], [12, 1]], 1/115200],
[[[1, 4], [2, 5], [4, 1], [6, 1], [11, 1]], 19/101376],
[[[1, 4], [2, 5], [4, 1], [6, 1], [22, 1]], 61/152064],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 2]], 11/73728],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 2]], 317/2764800],
[[[1, 4], [2, 5], [4, 1], [6, 3], [14, 1]], 11/387072],
[[[1, 4], [2, 5], [4, 1], [6, 3], [18, 1]], 101/497664],
[[[1, 4], [2, 5], [4, 1], [6, 4], [8, 1]], 121/5971968],
[[[1, 4], [2, 5], [4, 1], [6, 4], [10, 1]], 17/1492992],
[[[1, 4], [2, 5], [4, 1], [6, 4], [12, 1]], 7/2239488],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 2]], 271/921600],
[[[1, 4], [2, 5], [4, 1], [8, 2], [10, 1]], 23/184320],
[[[1, 4], [2, 5], [4, 1], [10, 2], [12, 1]], 1/14400],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 3]], 7/103680],
[[[1, 4], [2, 5], [4, 2], [5, 1], [7, 1]], 107/860160],
[[[1, 4], [2, 5], [4, 2], [5, 1], [14, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 2]], 5/12288],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 2]], 1/4096],
[[[1, 4], [2, 5], [4, 2], [6, 2], [7, 1]], 1/32256],
[[[1, 4], [2, 5], [4, 2], [6, 2], [14, 1]], 7/24576],
[[[1, 4], [2, 5], [4, 2], [6, 2], [18, 1]], 383/663552],
[[[1, 4], [2, 5], [4, 2], [6, 3], [8, 1]], 13/165888],
[[[1, 4], [2, 5], [4, 2], [6, 3], [10, 1]], 89/3317760],
[[[1, 4], [2, 5], [4, 2], [6, 3], [12, 1]], 11/124416],
[[[1, 4], [2, 5], [4, 2], [7, 1], [8, 1]], 23/86016],
[[[1, 4], [2, 5], [4, 2], [7, 1], [10, 1]], 1/5376],
[[[1, 4], [2, 5], [4, 2], [7, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 5], [4, 2], [8, 1], [14, 1]], 61/86016],
[[[1, 4], [2, 5], [4, 2], [10, 1], [14, 1]], 641/860160],
[[[1, 4], [2, 5], [4, 2], [12, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 2]], 7/69120],
[[[1, 4], [2, 5], [4, 3], [5, 1], [8, 1]], 41/98304],
[[[1, 4], [2, 5], [4, 3], [5, 1], [10, 1]], 619/921600],
[[[1, 4], [2, 5], [4, 3], [5, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 5], [4, 3], [6, 1], [7, 1]], 1/14336],
[[[1, 4], [2, 5], [4, 3], [6, 1], [14, 1]], 7/13824],
[[[1, 4], [2, 5], [4, 3], [6, 1], [18, 1]], 97/497664],
[[[1, 4], [2, 5], [4, 3], [6, 2], [8, 1]], 67/110592],
[[[1, 4], [2, 5], [4, 3], [6, 2], [10, 1]], 37/184320],
[[[1, 4], [2, 5], [4, 3], [6, 2], [12, 1]], 1/6144],
[[[1, 4], [2, 5], [4, 3], [8, 1], [10, 1]], 23/30720],
[[[1, 4], [2, 5], [4, 3], [8, 1], [12, 1]], 5/9216],
[[[1, 4], [2, 5], [4, 3], [10, 1], [12, 1]], 11/46080],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 1]], 23/552960],
[[[1, 4], [2, 5], [4, 4], [6, 1], [8, 1]], 191/442368],
[[[1, 4], [2, 5], [4, 4], [6, 1], [10, 1]], 97/737280],
[[[1, 4], [2, 5], [4, 4], [6, 1], [12, 1]], 5/82944],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 2]], 323/576000],
[[[1, 4], [2, 5], [5, 1], [6, 2], [7, 1]], 1/241920],
[[[1, 4], [2, 5], [5, 1], [6, 2], [14, 1]], 1/8064],
[[[1, 4], [2, 5], [5, 1], [6, 2], [18, 1]], 1/3456],
[[[1, 4], [2, 5], [5, 1], [6, 3], [10, 1]], 11/230400],
[[[1, 4], [2, 5], [5, 1], [7, 1], [8, 1]], 1/43008],
[[[1, 4], [2, 5], [5, 1], [7, 1], [10, 1]], 1/11200],
[[[1, 4], [2, 5], [5, 1], [10, 1], [14, 1]], 29/67200],
[[[1, 4], [2, 5], [5, 2], [6, 1], [8, 1]], 1/230400],
[[[1, 4], [2, 5], [5, 2], [6, 1], [10, 1]], 23/57600],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 2]], 23/345600],
[[[1, 4], [2, 5], [6, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 4], [2, 5], [6, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 5], [6, 2], [8, 1], [18, 1]], 17/82944],
[[[1, 4], [2, 5], [6, 2], [10, 1], [14, 1]], 13/110592],
[[[1, 4], [2, 5], [6, 2], [10, 1], [18, 1]], 593/2488320],
[[[1, 4], [2, 5], [6, 3], [8, 1], [10, 1]], 1/62208],
[[[1, 4], [2, 5], [8, 1], [10, 1], [14, 1]], 31/322560],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2]], 11/13824000],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 4]], 4727/8957952],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 2]], 11/368640],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 2]], 247/3456000],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 3]], 3607/4423680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [7, 1]], 17/2580480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [9, 1]], 1/103680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [14, 1]], 25/387072],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1]], 71/22118400],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 2]], 2479/6635520],
[[[1, 4], [2, 7], [3, 1], [4, 3], [8, 1]], 2081/26542080],
[[[1, 4], [2, 7], [3, 1], [4, 3], [10, 1]], 1/23040],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 1]], 2693/26542080],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 3]], 19/207360],
[[[1, 4], [2, 7], [3, 1], [5, 1], [7, 1]], 1/2764800],
[[[1, 4], [2, 7], [3, 1], [5, 1], [9, 1]], 1/8294400],
[[[1, 4], [2, 7], [3, 1], [5, 2], [6, 1]], 7/11059200],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 2]], 56777/165888000],
[[[1, 4], [2, 7], [3, 1], [6, 2], [7, 1]], 1/193536],
[[[1, 4], [2, 7], [3, 1], [6, 2], [14, 1]], 15803/23224320],
[[[1, 4], [2, 7], [3, 1], [6, 2], [18, 1]], 1789/5971968],
[[[1, 4], [2, 7], [3, 1], [6, 3], [8, 1]], 5717/44789760],
[[[1, 4], [2, 7], [3, 1], [6, 3], [10, 1]], 12701/22394880],
[[[1, 4], [2, 7], [3, 1], [7, 1], [8, 1]], 1/774144],
[[[1, 4], [2, 7], [3, 1], [8, 1], [9, 1]], 1/331776],
[[[1, 4], [2, 7], [3, 1], [8, 1], [14, 1]], 23/967680],
[[[1, 4], [2, 7], [3, 1], [10, 1], [14, 1]], 37/907200],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 3]], 34621/44789760],
[[[1, 4], [2, 7], [3, 2], [4, 1], [7, 1]], 19/11612160],
[[[1, 4], [2, 7], [3, 2], [4, 1], [9, 1]], 7/1105920],
[[[1, 4], [2, 7], [3, 2], [4, 1], [14, 1]], 1/60480],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1]], 1/737280],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 2]], 67/163840],
[[[1, 4], [2, 7], [3, 2], [4, 2], [8, 1]], 383/26542080],
[[[1, 4], [2, 7], [3, 2], [4, 2], [10, 1]], 1/110592],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 1]], 25/995328],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 2]], 289/16588800],
[[[1, 4], [2, 7], [3, 2], [5, 1], [10, 1]], 407/33177600],
[[[1, 4], [2, 7], [3, 2], [6, 1], [7, 1]], 61/23224320],
[[[1, 4], [2, 7], [3, 2], [6, 1], [9, 1]], 131/29859840],
[[[1, 4], [2, 7], [3, 2], [6, 1], [14, 1]], 29/725760],
[[[1, 4], [2, 7], [3, 2], [6, 1], [18, 1]], 1/62208],
[[[1, 4], [2, 7], [3, 2], [6, 2], [8, 1]], 257/3317760],
[[[1, 4], [2, 7], [3, 2], [6, 2], [10, 1]], 13517/33177600],
[[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1]], 1/24883200],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 2]], 77/1105920],
[[[1, 4], [2, 7], [3, 3], [4, 1], [8, 1]], 1/2488320],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 1]], 73/13271040],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 1]], 11/16588800],
[[[1, 4], [2, 7], [3, 3], [6, 1], [8, 1]], 1/663552],
[[[1, 4], [2, 7], [3, 3], [6, 1], [10, 1]], 11/1036800],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 1]], 13/7464960],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 3]], 157/1866240],
[[[1, 4], [2, 7], [4, 1], [5, 1], [7, 1]], 31/12902400],
[[[1, 4], [2, 7], [4, 1], [5, 1], [14, 1]], 71/806400],
[[[1, 4], [2, 7], [4, 1], [5, 2], [6, 1]], 1/307200],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 2]], 287/2211840],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 2]], 883/1382400],
[[[1, 4], [2, 7], [4, 1], [6, 2], [14, 1]], 1361/1935360],
[[[1, 4], [2, 7], [4, 1], [6, 2], [18, 1]], 5663/9953280],
[[[1, 4], [2, 7], [4, 1], [6, 3], [8, 1]], 10481/59719680],
[[[1, 4], [2, 7], [4, 1], [6, 3], [10, 1]], 2153/7464960],
[[[1, 4], [2, 7], [4, 1], [6, 3], [12, 1]], 43/1119744],
[[[1, 4], [2, 7], [4, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 4], [2, 7], [4, 1], [8, 1], [14, 1]], 2137/7741440],
[[[1, 4], [2, 7], [4, 1], [10, 1], [14, 1]], 3419/5529600],
[[[1, 4], [2, 7], [4, 1], [12, 1], [14, 1]], 23/483840],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 2]], 31/276480],
[[[1, 4], [2, 7], [4, 2], [5, 1], [8, 1]], 3/32768],
[[[1, 4], [2, 7], [4, 2], [5, 1], [10, 1]], 7193/18432000],
[[[1, 4], [2, 7], [4, 2], [6, 1], [7, 1]], 1/43008],
[[[1, 4], [2, 7], [4, 2], [6, 1], [14, 1]], 167/172032],
[[[1, 4], [2, 7], [4, 2], [6, 1], [18, 1]], 95/331776],
[[[1, 4], [2, 7], [4, 2], [6, 2], [8, 1]], 3359/4423680],
[[[1, 4], [2, 7], [4, 2], [6, 2], [10, 1]], 361/442368],
[[[1, 4], [2, 7], [4, 2], [6, 2], [12, 1]], 41/331776],
[[[1, 4], [2, 7], [4, 2], [8, 1], [10, 1]], 2119/3686400],
[[[1, 4], [2, 7], [4, 2], [8, 1], [12, 1]], 61/1105920],
[[[1, 4], [2, 7], [4, 2], [10, 1], [12, 1]], 37/460800],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 1]], 739/11059200],
[[[1, 4], [2, 7], [4, 3], [6, 1], [8, 1]], 131/196608],
[[[1, 4], [2, 7], [4, 3], [6, 1], [10, 1]], 2261/4423680],
[[[1, 4], [2, 7], [4, 3], [6, 1], [12, 1]], 7/92160],
[[[1, 4], [2, 7], [5, 1], [6, 1], [7, 1]], 1/967680],
[[[1, 4], [2, 7], [5, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 7], [5, 1], [6, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 7], [5, 1], [6, 2], [10, 1]], 137/442368],
[[[1, 4], [2, 7], [5, 1], [8, 1], [10, 1]], 427/5529600],
[[[1, 4], [2, 7], [6, 1], [8, 1], [14, 1]], 29/241920],
[[[1, 4], [2, 7], [6, 1], [8, 1], [18, 1]], 7/103680],
[[[1, 4], [2, 7], [6, 1], [10, 1], [14, 1]], 2633/6451200],
[[[1, 4], [2, 7], [6, 1], [10, 1], [18, 1]], 841/4976640],
[[[1, 4], [2, 7], [6, 2], [8, 1], [10, 1]], 403/4147200],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 3]], 361453/836075520],
[[[1, 4], [2, 9], [3, 1], [4, 1], [7, 1]], 1/15482880],
[[[1, 4], [2, 9], [3, 1], [4, 1], [9, 1]], 1/6635520],
[[[1, 4], [2, 9], [3, 1], [4, 1], [14, 1]], 53/3317760],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1]], 1/8847360],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 2]], 4087/15482880],
[[[1, 4], [2, 9], [3, 1], [4, 2], [8, 1]], 37/3440640],
[[[1, 4], [2, 9], [3, 1], [4, 2], [10, 1]], 7459/464486400],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 1]], 2869/74317824],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 2]], 17/1451520],
[[[1, 4], [2, 9], [3, 1], [5, 1], [10, 1]], 53/16588800],
[[[1, 4], [2, 9], [3, 1], [6, 1], [7, 1]], 1/30965760],
[[[1, 4], [2, 9], [3, 1], [6, 1], [14, 1]], 509/4644864],
[[[1, 4], [2, 9], [3, 1], [6, 1], [18, 1]], 199/22394880],
[[[1, 4], [2, 9], [3, 1], [6, 2], [8, 1]], 11317/358318080],
[[[1, 4], [2, 9], [3, 1], [6, 2], [10, 1]], 47107/149299200],
[[[1, 4], [2, 9], [3, 1], [8, 1], [10, 1]], 61/19353600],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 2]], 188021/2508226560],
[[[1, 4], [2, 9], [3, 2], [4, 1], [8, 1]], 113/106168320],
[[[1, 4], [2, 9], [3, 2], [4, 1], [10, 1]], 71/29030400],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 1]], 1633/185794560],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 1]], 1/66355200],
[[[1, 4], [2, 9], [3, 2], [6, 1], [8, 1]], 197/92897280],
[[[1, 4], [2, 9], [3, 2], [6, 1], [10, 1]], 101/9676800],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 1]], 1/2064384],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 2]], 679/24883200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [8, 1]], 113/29491200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [10, 1]], 5443/96768000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [14, 1]], 1243/3870720],
[[[1, 4], [2, 9], [4, 1], [6, 1], [18, 1]], 2197/29859840],
[[[1, 4], [2, 9], [4, 1], [6, 2], [8, 1]], 10273/69672960],
[[[1, 4], [2, 9], [4, 1], [6, 2], [10, 1]], 329597/696729600],
[[[1, 4], [2, 9], [4, 1], [6, 2], [12, 1]], 169/14929920],
[[[1, 4], [2, 9], [4, 1], [8, 1], [10, 1]], 10433/116121600],
[[[1, 4], [2, 9], [4, 1], [10, 1], [12, 1]], 61/9676800],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 1]], 127/9676800],
[[[1, 4], [2, 9], [4, 2], [6, 1], [8, 1]], 313/1474560],
[[[1, 4], [2, 9], [4, 2], [6, 1], [10, 1]], 367/884736],
[[[1, 4], [2, 9], [4, 2], [6, 1], [12, 1]], 17/1161216],
[[[1, 4], [2, 9], [5, 1], [6, 1], [10, 1]], 1997/27648000],
[[[1, 4], [2, 9], [6, 1], [8, 1], [10, 1]], 8023/232243200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 2]], 605179/12541132800],
[[[1, 4], [2, 11], [3, 1], [4, 1], [8, 1]], 653/1393459200],
[[[1, 4], [2, 11], [3, 1], [4, 1], [10, 1]], 6509/3483648000],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 1]], 8423/825753600],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 1]], 421/1741824000],
[[[1, 4], [2, 11], [3, 1], [6, 1], [8, 1]], 12457/10218700800],
[[[1, 4], [2, 11], [3, 1], [6, 1], [10, 1]], 616417/31352832000],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 1]], 413/410572800],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 1]], 1361/1045094400],
[[[1, 4], [2, 11], [4, 1], [6, 1], [8, 1]], 64193/4180377600],
[[[1, 4], [2, 11], [4, 1], [6, 1], [10, 1]], 41117/522547200],
[[[1, 4], [2, 11], [4, 1], [6, 1], [12, 1]], 341/627056640],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 1]], 4544363/4414478745600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3]], 7/48000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 2]], 1/1176],
[[[1, 5], [2, 2], [3, 1], [4, 2], [11, 1]], 3/5632],
[[[1, 5], [2, 2], [3, 1], [4, 2], [22, 1]], 1/16896],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2]], 41/691200],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 2]], 7/36864],
[[[1, 5], [2, 2], [3, 1], [4, 4], [7, 1]], 23/774144],
[[[1, 5], [2, 2], [3, 1], [4, 4], [9, 1]], 1/331776],
[[[1, 5], [2, 2], [3, 1], [4, 6], [6, 1]], 1/1769472],
[[[1, 5], [2, 2], [3, 1], [5, 1], [11, 1]], 37/63360],
[[[1, 5], [2, 2], [3, 1], [5, 2], [7, 1]], 121/201600],
[[[1, 5], [2, 2], [3, 1], [5, 2], [9, 1]], 7/21600],
[[[1, 5], [2, 2], [3, 1], [5, 3], [6, 1]], 49/144000],
[[[1, 5], [2, 2], [3, 1], [6, 1], [7, 2]], 1/7056],
[[[1, 5], [2, 2], [3, 1], [6, 2], [11, 1]], 1/28512],
[[[1, 5], [2, 2], [3, 1], [6, 2], [22, 1]], 1/152064],
[[[1, 5], [2, 2], [3, 1], [6, 4], [18, 1]], 1/373248],
[[[1, 5], [2, 2], [3, 1], [8, 1], [11, 1]], 5/25344],
[[[1, 5], [2, 2], [3, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 5], [2, 2], [3, 2], [4, 1], [11, 1]], 1/1536],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2]], 53/307200],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 2]], 5/36864],
[[[1, 5], [2, 2], [3, 2], [4, 3], [7, 1]], 5/64512],
[[[1, 5], [2, 2], [3, 2], [4, 3], [9, 1]], 13/165888],
[[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 2]], 1/147456],
[[[1, 5], [2, 2], [3, 2], [4, 4], [8, 1]], 1/24576],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 2]], 61/129600],
[[[1, 5], [2, 2], [3, 2], [5, 2], [8, 1]], 11/230400],
[[[1, 5], [2, 2], [3, 2], [5, 2], [10, 1]], 7/28800],
[[[1, 5], [2, 2], [3, 2], [6, 1], [11, 1]], 5/6336],
[[[1, 5], [2, 2], [3, 2], [6, 1], [22, 1]], 1/38016],
[[[1, 5], [2, 2], [3, 2], [6, 3], [18, 1]], 1/93312],
[[[1, 5], [2, 2], [3, 2], [6, 4], [8, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 2], [7, 1], [9, 1]], 5/6048],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2]], 7/172800],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 4]], 1/82944],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 2]], 1/55296],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 3]], 1/24576],
[[[1, 5], [2, 2], [3, 3], [4, 2], [7, 1]], 61/387072],
[[[1, 5], [2, 2], [3, 3], [4, 2], [9, 1]], 49/165888],
[[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1]], 11/248832],
[[[1, 5], [2, 2], [3, 3], [4, 3], [8, 1]], 7/110592],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 3]], 1/17280],
[[[1, 5], [2, 2], [3, 3], [5, 1], [7, 1]], 23/241920],
[[[1, 5], [2, 2], [3, 3], [5, 1], [9, 1]], 17/51840],
[[[1, 5], [2, 2], [3, 3], [5, 2], [6, 1]], 11/51840],
[[[1, 5], [2, 2], [3, 3], [6, 2], [7, 1]], 37/108864],
[[[1, 5], [2, 2], [3, 3], [6, 2], [9, 1]], 7/46656],
[[[1, 5], [2, 2], [3, 3], [6, 3], [8, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [6, 3], [10, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 3], [7, 1], [8, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 3], [7, 1], [10, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 3], [8, 1], [9, 1]], 5/41472],
[[[1, 5], [2, 2], [3, 3], [9, 1], [10, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 3]], 1/41472],
[[[1, 5], [2, 2], [3, 4], [4, 1], [7, 1]], 1/13608],
[[[1, 5], [2, 2], [3, 4], [4, 1], [9, 1]], 5/13824],
[[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1]], 73/1658880],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 2]], 1/73728],
[[[1, 5], [2, 2], [3, 4], [4, 2], [8, 1]], 91/995328],
[[[1, 5], [2, 2], [3, 4], [4, 2], [10, 1]], 7/622080],
[[[1, 5], [2, 2], [3, 4], [4, 2], [12, 1]], 7/373248],
[[[1, 5], [2, 2], [3, 4], [4, 3], [6, 1]], 11/559872],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 2]], 181/559872],
[[[1, 5], [2, 2], [3, 4], [5, 1], [8, 1]], 7/622080],
[[[1, 5], [2, 2], [3, 4], [5, 1], [10, 1]], 29/777600],
[[[1, 5], [2, 2], [3, 4], [6, 1], [7, 1]], 13/36288],
[[[1, 5], [2, 2], [3, 4], [6, 1], [9, 1]], 37/69984],
[[[1, 5], [2, 2], [3, 4], [6, 2], [8, 1]], 7/279936],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 2]], 7/2239488],
[[[1, 5], [2, 2], [3, 5], [4, 1], [10, 1]], 1/155520],
[[[1, 5], [2, 2], [3, 5], [4, 1], [12, 1]], 1/93312],
[[[1, 5], [2, 2], [3, 5], [4, 2], [6, 1]], 7/331776],
[[[1, 5], [2, 2], [3, 5], [5, 1], [6, 1]], 7/279936],
[[[1, 5], [2, 2], [3, 5], [6, 1], [8, 1]], 5/497664],
[[[1, 5], [2, 2], [3, 6], [4, 1], [6, 1]], 1/52488],
[[[1, 5], [2, 2], [4, 1], [5, 1], [11, 1]], 1/1280],
[[[1, 5], [2, 2], [4, 1], [5, 2], [7, 1]], 43/44800],
[[[1, 5], [2, 2], [4, 1], [5, 3], [6, 1]], 1/32000],
[[[1, 5], [2, 2], [4, 1], [6, 2], [22, 1]], 1/3041280],
[[[1, 5], [2, 2], [4, 1], [6, 4], [18, 1]], 1/7464960],
[[[1, 5], [2, 2], [4, 1], [8, 1], [11, 1]], 1/5632],
[[[1, 5], [2, 2], [4, 1], [8, 1], [22, 1]], 1/33792],
[[[1, 5], [2, 2], [4, 1], [10, 1], [11, 1]], 1/21120],
[[[1, 5], [2, 2], [4, 1], [10, 1], [22, 1]], 1/844800],
[[[1, 5], [2, 2], [4, 1], [10, 2], [14, 1]], 1/2688000],
[[[1, 5], [2, 2], [4, 1], [11, 1], [12, 1]], 1/12672],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 2]], 1/10240],
[[[1, 5], [2, 2], [4, 2], [5, 2], [8, 1]], 1/5120],
[[[1, 5], [2, 2], [4, 2], [5, 2], [10, 1]], 211/768000],
[[[1, 5], [2, 2], [4, 2], [5, 2], [12, 1]], 7/57600],
[[[1, 5], [2, 2], [4, 2], [6, 1], [11, 1]], 1/16896],
[[[1, 5], [2, 2], [4, 2], [6, 2], [8, 2]], 1/221184],
[[[1, 5], [2, 2], [4, 2], [8, 2], [10, 1]], 1/61440],
[[[1, 5], [2, 2], [4, 3], [5, 1], [7, 1]], 31/645120],
[[[1, 5], [2, 2], [4, 3], [7, 1], [8, 1]], 1/14336],
[[[1, 5], [2, 2], [4, 4], [5, 1], [8, 1]], 19/184320],
[[[1, 5], [2, 2], [4, 4], [5, 1], [10, 1]], 1/122880],
[[[1, 5], [2, 2], [4, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 5], [2, 2], [5, 1], [6, 1], [11, 1]], 1/31680],
[[[1, 5], [2, 2], [5, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 5], [2, 2], [5, 2], [6, 1], [7, 1]], 1/100800],
[[[1, 5], [2, 2], [5, 2], [8, 1], [10, 1]], 1/12800],
[[[1, 5], [2, 2], [6, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 5]], 7/8957952],
[[[1, 5], [2, 4], [3, 1], [4, 1], [11, 1]], 61/152064],
[[[1, 5], [2, 4], [3, 1], [4, 1], [22, 1]], 19/101376],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2]], 1/4096],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 4]], 7/2985984],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 2]], 5/12288],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 2]], 1/19200],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 3]], 133/1990656],
[[[1, 5], [2, 4], [3, 1], [4, 3], [7, 1]], 7/13824],
[[[1, 5], [2, 4], [3, 1], [4, 3], [9, 1]], 97/497664],
[[[1, 5], [2, 4], [3, 1], [4, 3], [14, 1]], 1/14336],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1]], 97/737280],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 2]], 49/663552],
[[[1, 5], [2, 4], [3, 1], [4, 4], [8, 1]], 191/442368],
[[[1, 5], [2, 4], [3, 1], [4, 4], [10, 1]], 23/552960],
[[[1, 5], [2, 4], [3, 1], [4, 4], [12, 1]], 5/82944],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 1]], 25/1769472],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 2]], 23/57600],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 2]], 13/115200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [8, 1]], 23/345600],
[[[1, 5], [2, 4], [3, 1], [5, 2], [10, 1]], 323/576000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [11, 1]], 323/912384],
[[[1, 5], [2, 4], [3, 1], [6, 1], [22, 1]], 101/1216512],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 2]], 127/4147200],
[[[1, 5], [2, 4], [3, 1], [6, 3], [7, 1]], 1/72576],
[[[1, 5], [2, 4], [3, 1], [6, 3], [14, 1]], 43/1741824],
[[[1, 5], [2, 4], [3, 1], [6, 3], [18, 1]], 265/2985984],
[[[1, 5], [2, 4], [3, 1], [6, 4], [8, 1]], 7/746496],
[[[1, 5], [2, 4], [3, 1], [6, 4], [10, 1]], 1/414720],
[[[1, 5], [2, 4], [3, 1], [7, 1], [9, 1]], 1/12096],
[[[1, 5], [2, 4], [3, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2]], 317/2764800],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 4]], 571/5971968],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 2]], 11/73728],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 2]], 1/115200],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 3]], 131/331776],
[[[1, 5], [2, 4], [3, 2], [4, 2], [7, 1]], 7/24576],
[[[1, 5], [2, 4], [3, 2], [4, 2], [9, 1]], 383/663552],
[[[1, 5], [2, 4], [3, 2], [4, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1]], 37/184320],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 2]], 371/1990656],
[[[1, 5], [2, 4], [3, 2], [4, 3], [8, 1]], 67/110592],
[[[1, 5], [2, 4], [3, 2], [4, 3], [10, 1]], 7/69120],
[[[1, 5], [2, 4], [3, 2], [4, 3], [12, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 1]], 19/331776],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 3]], 59/207360],
[[[1, 5], [2, 4], [3, 2], [5, 1], [7, 1]], 13/110592],
[[[1, 5], [2, 4], [3, 2], [5, 1], [9, 1]], 593/2488320],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 1]], 667/2073600],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 2]], 11/345600],
[[[1, 5], [2, 4], [3, 2], [6, 2], [7, 1]], 61/145152],
[[[1, 5], [2, 4], [3, 2], [6, 2], [9, 1]], 1/7776],
[[[1, 5], [2, 4], [3, 2], [6, 2], [14, 1]], 11/72576],
[[[1, 5], [2, 4], [3, 2], [6, 2], [18, 1]], 5/46656],
[[[1, 5], [2, 4], [3, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 2], [6, 3], [10, 1]], 11/69120],
[[[1, 5], [2, 4], [3, 2], [7, 1], [8, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 2], [7, 1], [10, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 2], [8, 1], [9, 1]], 17/82944],
[[[1, 5], [2, 4], [3, 2], [9, 1], [10, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [10, 1], [14, 1]], 1/241920],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 3]], 997/1327104],
[[[1, 5], [2, 4], [3, 3], [4, 1], [7, 1]], 11/387072],
[[[1, 5], [2, 4], [3, 3], [4, 1], [9, 1]], 101/497664],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1]], 89/3317760],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 2]], 233/497664],
[[[1, 5], [2, 4], [3, 3], [4, 2], [8, 1]], 13/165888],
[[[1, 5], [2, 4], [3, 3], [4, 2], [10, 1]], 7/103680],
[[[1, 5], [2, 4], [3, 3], [4, 2], [12, 1]], 11/124416],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 1]], 131/663552],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 2]], 721/1244160],
[[[1, 5], [2, 4], [3, 3], [5, 1], [8, 1]], 1/62208],
[[[1, 5], [2, 4], [3, 3], [5, 1], [10, 1]], 11/230400],
[[[1, 5], [2, 4], [3, 3], [6, 1], [7, 1]], 155/870912],
[[[1, 5], [2, 4], [3, 3], [6, 1], [9, 1]], 295/746496],
[[[1, 5], [2, 4], [3, 3], [6, 1], [14, 1]], 1/48384],
[[[1, 5], [2, 4], [3, 3], [6, 2], [8, 1]], 23/82944],
[[[1, 5], [2, 4], [3, 3], [6, 2], [10, 1]], 1/6480],
[[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1]], 17/1492992],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 2]], 1715/2985984],
[[[1, 5], [2, 4], [3, 4], [4, 1], [8, 1]], 121/5971968],
[[[1, 5], [2, 4], [3, 4], [4, 1], [10, 1]], 49/3732480],
[[[1, 5], [2, 4], [3, 4], [4, 1], [12, 1]], 7/2239488],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 1]], 7/36864],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 1]], 457/5598720],
[[[1, 5], [2, 4], [3, 4], [6, 1], [8, 1]], 91/1492992],
[[[1, 5], [2, 4], [3, 4], [6, 1], [10, 1]], 7/77760],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 1]], 269/17915904],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 2]], 23/184320],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 2]], 191/256000],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 2]], 1/19200],
[[[1, 5], [2, 4], [4, 1], [5, 2], [8, 1]], 271/921600],
[[[1, 5], [2, 4], [4, 1], [5, 2], [10, 1]], 367/256000],
[[[1, 5], [2, 4], [4, 1], [5, 2], [12, 1]], 1/14400],
[[[1, 5], [2, 4], [4, 1], [6, 1], [11, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 1], [6, 1], [22, 1]], 1/11880],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 2]], 1/27648],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 2]], 13/5529600],
[[[1, 5], [2, 4], [4, 1], [6, 3], [14, 1]], 31/11612160],
[[[1, 5], [2, 4], [4, 1], [6, 3], [18, 1]], 191/4976640],
[[[1, 5], [2, 4], [4, 1], [6, 4], [8, 1]], 13/5971968],
[[[1, 5], [2, 4], [4, 1], [6, 4], [10, 1]], 67/149299200],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 4], [4, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 1], [10, 2], [12, 1]], 1/115200],
[[[1, 5], [2, 4], [4, 2], [5, 1], [7, 1]], 641/860160],
[[[1, 5], [2, 4], [4, 2], [5, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 1]], 23/230400],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 2]], 1/3456],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 2]], 7/230400],
[[[1, 5], [2, 4], [4, 2], [6, 2], [7, 1]], 1/32256],
[[[1, 5], [2, 4], [4, 2], [6, 2], [14, 1]], 1/387072],
[[[1, 5], [2, 4], [4, 2], [6, 2], [18, 1]], 17/221184],
[[[1, 5], [2, 4], [4, 2], [6, 3], [8, 1]], 1/73728],
[[[1, 5], [2, 4], [4, 2], [6, 3], [10, 1]], 1/829440],
[[[1, 5], [2, 4], [4, 2], [7, 1], [8, 1]], 61/86016],
[[[1, 5], [2, 4], [4, 2], [7, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 4], [4, 2], [7, 1], [12, 1]], 1/4032],
[[[1, 5], [2, 4], [4, 2], [8, 1], [14, 1]], 23/86016],
[[[1, 5], [2, 4], [4, 2], [10, 1], [14, 1]], 107/860160],
[[[1, 5], [2, 4], [4, 2], [12, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 2]], 17/552960],
[[[1, 5], [2, 4], [4, 3], [5, 1], [8, 1]], 23/30720],
[[[1, 5], [2, 4], [4, 3], [5, 1], [10, 1]], 619/921600],
[[[1, 5], [2, 4], [4, 3], [5, 1], [12, 1]], 11/46080],
[[[1, 5], [2, 4], [4, 3], [6, 1], [7, 1]], 1/14336],
[[[1, 5], [2, 4], [4, 3], [6, 1], [14, 1]], 41/774144],
[[[1, 5], [2, 4], [4, 3], [6, 1], [18, 1]], 41/331776],
[[[1, 5], [2, 4], [4, 3], [6, 2], [8, 1]], 23/589824],
[[[1, 5], [2, 4], [4, 3], [6, 2], [10, 1]], 1/552960],
[[[1, 5], [2, 4], [4, 3], [6, 2], [12, 1]], 5/110592],
[[[1, 5], [2, 4], [4, 3], [8, 1], [10, 1]], 41/98304],
[[[1, 5], [2, 4], [4, 3], [8, 1], [12, 1]], 5/9216],
[[[1, 5], [2, 4], [4, 3], [10, 1], [12, 1]], 1/6144],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 1]], 17/368640],
[[[1, 5], [2, 4], [4, 4], [6, 1], [8, 1]], 19/55296],
[[[1, 5], [2, 4], [4, 4], [6, 1], [10, 1]], 17/442368],
[[[1, 5], [2, 4], [4, 4], [6, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 2]], 37/230400],
[[[1, 5], [2, 4], [5, 1], [6, 2], [7, 1]], 1/26880],
[[[1, 5], [2, 4], [5, 1], [6, 2], [18, 1]], 1/51840],
[[[1, 5], [2, 4], [5, 1], [6, 3], [10, 1]], 13/829440],
[[[1, 5], [2, 4], [5, 1], [7, 1], [8, 1]], 31/322560],
[[[1, 5], [2, 4], [5, 1], [7, 1], [10, 1]], 29/67200],
[[[1, 5], [2, 4], [5, 1], [10, 1], [14, 1]], 1/11200],
[[[1, 5], [2, 4], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 5], [2, 4], [5, 2], [6, 1], [10, 1]], 19/57600],
[[[1, 5], [2, 4], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 5], [2, 4], [6, 2], [8, 1], [14, 1]], 5/387072],
[[[1, 5], [2, 4], [6, 2], [8, 1], [18, 1]], 7/165888],
[[[1, 5], [2, 4], [6, 2], [10, 1], [14, 1]], 1/215040],
[[[1, 5], [2, 4], [6, 2], [10, 1], [18, 1]], 7/414720],
[[[1, 5], [2, 4], [6, 3], [8, 1], [10, 1]], 1/829440],
[[[1, 5], [2, 4], [8, 1], [10, 1], [14, 1]], 1/43008],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2]], 91/2764800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 4]], 2669/17915904],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 2]], 7/55296],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 2]], 311/2764800],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 3]], 17311/23887872],
[[[1, 5], [2, 6], [3, 1], [4, 2], [7, 1]], 67/774144],
[[[1, 5], [2, 6], [3, 1], [4, 2], [9, 1]], 131/1105920],
[[[1, 5], [2, 6], [3, 1], [4, 2], [14, 1]], 31/215040],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1]], 71/884736],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 2]], 41/55296],
[[[1, 5], [2, 6], [3, 1], [4, 3], [8, 1]], 13111/26542080],
[[[1, 5], [2, 6], [3, 1], [4, 3], [10, 1]], 41/221184],
[[[1, 5], [2, 6], [3, 1], [4, 3], [12, 1]], 5/55296],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 1]], 2161/7077888],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 3]], 1/5760],
[[[1, 5], [2, 6], [3, 1], [5, 1], [7, 1]], 859/58060800],
[[[1, 5], [2, 6], [3, 1], [5, 1], [9, 1]], 451/24883200],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 1]], 451/11059200],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 2]], 1387/6635520],
[[[1, 5], [2, 6], [3, 1], [6, 2], [7, 1]], 11/290304],
[[[1, 5], [2, 6], [3, 1], [6, 2], [9, 1]], 1/124416],
[[[1, 5], [2, 6], [3, 1], [6, 2], [14, 1]], 6827/23224320],
[[[1, 5], [2, 6], [3, 1], [6, 2], [18, 1]], 1553/5971968],
[[[1, 5], [2, 6], [3, 1], [6, 3], [8, 1]], 179/1492992],
[[[1, 5], [2, 6], [3, 1], [6, 3], [10, 1]], 6863/29859840],
[[[1, 5], [2, 6], [3, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 5], [2, 6], [3, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 5], [2, 6], [3, 1], [8, 1], [9, 1]], 7/248832],
[[[1, 5], [2, 6], [3, 1], [8, 1], [14, 1]], 11/387072],
[[[1, 5], [2, 6], [3, 1], [9, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 6], [3, 1], [10, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 3]], 3359/2985984],
[[[1, 5], [2, 6], [3, 2], [4, 1], [7, 1]], 109/3870720],
[[[1, 5], [2, 6], [3, 2], [4, 1], [9, 1]], 757/9953280],
[[[1, 5], [2, 6], [3, 2], [4, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1]], 131/3686400],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 2]], 5581/4423680],
[[[1, 5], [2, 6], [3, 2], [4, 2], [8, 1]], 647/4423680],
[[[1, 5], [2, 6], [3, 2], [4, 2], [10, 1]], 83/1105920],
[[[1, 5], [2, 6], [3, 2], [4, 2], [12, 1]], 1/73728],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 1]], 3317/7962624],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 2]], 1063/6635520],
[[[1, 5], [2, 6], [3, 2], [5, 1], [8, 1]], 1/184320],
[[[1, 5], [2, 6], [3, 2], [5, 1], [10, 1]], 37/442368],
[[[1, 5], [2, 6], [3, 2], [6, 1], [7, 1]], 191/4644864],
[[[1, 5], [2, 6], [3, 2], [6, 1], [9, 1]], 127/1990656],
[[[1, 5], [2, 6], [3, 2], [6, 1], [14, 1]], 11/181440],
[[[1, 5], [2, 6], [3, 2], [6, 1], [18, 1]], 5/186624],
[[[1, 5], [2, 6], [3, 2], [6, 2], [8, 1]], 1/5120],
[[[1, 5], [2, 6], [3, 2], [6, 2], [10, 1]], 163/331776],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1]], 103/24883200],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 2]], 271/552960],
[[[1, 5], [2, 6], [3, 3], [4, 1], [8, 1]], 29/1990656],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 1]], 301/2654208],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 1]], 23/995328],
[[[1, 5], [2, 6], [3, 3], [6, 1], [8, 1]], 17/663552],
[[[1, 5], [2, 6], [3, 3], [6, 1], [10, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 1]], 2287/89579520],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 3]], 151/2488320],
[[[1, 5], [2, 6], [4, 1], [5, 1], [7, 1]], 23/368640],
[[[1, 5], [2, 6], [4, 1], [5, 1], [14, 1]], 59/322560],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 1]], 17/460800],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 2]], 91/442368],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 2]], 1913/6912000],
[[[1, 5], [2, 6], [4, 1], [6, 2], [7, 1]], 1/48384],
[[[1, 5], [2, 6], [4, 1], [6, 2], [14, 1]], 643/3225600],
[[[1, 5], [2, 6], [4, 1], [6, 2], [18, 1]], 1799/5529600],
[[[1, 5], [2, 6], [4, 1], [6, 3], [8, 1]], 581/5971968],
[[[1, 5], [2, 6], [4, 1], [6, 3], [10, 1]], 1429/18662400],
[[[1, 5], [2, 6], [4, 1], [6, 3], [12, 1]], 19/1492992],
[[[1, 5], [2, 6], [4, 1], [7, 1], [8, 1]], 11/129024],
[[[1, 5], [2, 6], [4, 1], [7, 1], [10, 1]], 3/35840],
[[[1, 5], [2, 6], [4, 1], [7, 1], [12, 1]], 1/64512],
[[[1, 5], [2, 6], [4, 1], [8, 1], [14, 1]], 631/2580480],
[[[1, 5], [2, 6], [4, 1], [10, 1], [14, 1]], 66341/193536000],
[[[1, 5], [2, 6], [4, 1], [12, 1], [14, 1]], 11/193536],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 2]], 37/184320],
[[[1, 5], [2, 6], [4, 2], [5, 1], [8, 1]], 1799/3686400],
[[[1, 5], [2, 6], [4, 2], [5, 1], [10, 1]], 211/184320],
[[[1, 5], [2, 6], [4, 2], [5, 1], [12, 1]], 1/20480],
[[[1, 5], [2, 6], [4, 2], [6, 1], [7, 1]], 5/43008],
[[[1, 5], [2, 6], [4, 2], [6, 1], [14, 1]], 943/1548288],
[[[1, 5], [2, 6], [4, 2], [6, 1], [18, 1]], 1/3072],
[[[1, 5], [2, 6], [4, 2], [6, 2], [8, 1]], 899/1769472],
[[[1, 5], [2, 6], [4, 2], [6, 2], [10, 1]], 211/737280],
[[[1, 5], [2, 6], [4, 2], [6, 2], [12, 1]], 7/55296],
[[[1, 5], [2, 6], [4, 2], [8, 1], [10, 1]], 1213/1474560],
[[[1, 5], [2, 6], [4, 2], [8, 1], [12, 1]], 37/221184],
[[[1, 5], [2, 6], [4, 2], [10, 1], [12, 1]], 19/138240],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 1]], 61/276480],
[[[1, 5], [2, 6], [4, 3], [6, 1], [8, 1]], 203/196608],
[[[1, 5], [2, 6], [4, 3], [6, 1], [10, 1]], 703/1474560],
[[[1, 5], [2, 6], [4, 3], [6, 1], [12, 1]], 5/27648],
[[[1, 5], [2, 6], [5, 1], [6, 1], [7, 1]], 1/64512],
[[[1, 5], [2, 6], [5, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 6], [5, 1], [6, 1], [18, 1]], 1/10368],
[[[1, 5], [2, 6], [5, 1], [6, 2], [10, 1]], 2471/11059200],
[[[1, 5], [2, 6], [5, 1], [8, 1], [10, 1]], 1021/5529600],
[[[1, 5], [2, 6], [6, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 5], [2, 6], [6, 1], [8, 1], [14, 1]], 73/774144],
[[[1, 5], [2, 6], [6, 1], [8, 1], [18, 1]], 25/331776],
[[[1, 5], [2, 6], [6, 1], [10, 1], [14, 1]], 61/430080],
[[[1, 5], [2, 6], [6, 1], [10, 1], [18, 1]], 167/1658880],
[[[1, 5], [2, 6], [6, 2], [8, 1], [10, 1]], 5/110592],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 3]], 248257/358318080],
[[[1, 5], [2, 8], [3, 1], [4, 1], [7, 1]], 13/3870720],
[[[1, 5], [2, 8], [3, 1], [4, 1], [9, 1]], 41/9953280],
[[[1, 5], [2, 8], [3, 1], [4, 1], [14, 1]], 1307/23224320],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1]], 217/44236800],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 2]], 67753/79626240],
[[[1, 5], [2, 8], [3, 1], [4, 2], [8, 1]], 1063/13271040],
[[[1, 5], [2, 8], [3, 1], [4, 2], [10, 1]], 2423/38707200],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 1]], 193/655360],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 2]], 29/460800],
[[[1, 5], [2, 8], [3, 1], [5, 1], [8, 1]], 1/2211840],
[[[1, 5], [2, 8], [3, 1], [5, 1], [10, 1]], 481/16588800],
[[[1, 5], [2, 8], [3, 1], [6, 1], [7, 1]], 43/23224320],
[[[1, 5], [2, 8], [3, 1], [6, 1], [9, 1]], 1/497664],
[[[1, 5], [2, 8], [3, 1], [6, 1], [14, 1]], 9281/46448640],
[[[1, 5], [2, 8], [3, 1], [6, 1], [18, 1]], 59/1866240],
[[[1, 5], [2, 8], [3, 1], [6, 2], [8, 1]], 1909/23224320],
[[[1, 5], [2, 8], [3, 1], [6, 2], [10, 1]], 281563/696729600],
[[[1, 5], [2, 8], [3, 1], [8, 1], [10, 1]], 89/11059200],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1]], 1/1228800],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 2]], 3821/10321920],
[[[1, 5], [2, 8], [3, 2], [4, 1], [8, 1]], 19/1966080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [10, 1]], 37/2764800],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 1]], 107/1290240],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 1]], 1/663552],
[[[1, 5], [2, 8], [3, 2], [6, 1], [8, 1]], 169/13271040],
[[[1, 5], [2, 8], [3, 2], [6, 1], [10, 1]], 601/14515200],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 1]], 169/13271040],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 2]], 577/6635520],
[[[1, 5], [2, 8], [4, 1], [5, 1], [8, 1]], 163/4915200],
[[[1, 5], [2, 8], [4, 1], [5, 1], [10, 1]], 227/1024000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [7, 1]], 11/1548288],
[[[1, 5], [2, 8], [4, 1], [6, 1], [14, 1]], 16349/38707200],
[[[1, 5], [2, 8], [4, 1], [6, 1], [18, 1]], 79/583200],
[[[1, 5], [2, 8], [4, 1], [6, 2], [8, 1]], 34609/159252480],
[[[1, 5], [2, 8], [4, 1], [6, 2], [10, 1]], 149771/348364800],
[[[1, 5], [2, 8], [4, 1], [6, 2], [12, 1]], 85/3981312],
[[[1, 5], [2, 8], [4, 1], [8, 1], [10, 1]], 2061/11468800],
[[[1, 5], [2, 8], [4, 1], [10, 1], [12, 1]], 89/5529600],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 1]], 131/1474560],
[[[1, 5], [2, 8], [4, 2], [6, 1], [8, 1]], 121/221184],
[[[1, 5], [2, 8], [4, 2], [6, 1], [10, 1]], 3811/5529600],
[[[1, 5], [2, 8], [4, 2], [6, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 8], [5, 1], [6, 1], [10, 1]], 953/5529600],
[[[1, 5], [2, 8], [6, 1], [8, 1], [10, 1]], 299/5529600],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1]], 7/265420800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 2]], 1970117/10032906240],
[[[1, 5], [2, 10], [3, 1], [4, 1], [8, 1]], 9943/2229534720],
[[[1, 5], [2, 10], [3, 1], [4, 1], [10, 1]], 15007/1393459200],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 1]], 981371/13377208320],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 1]], 53/20643840],
[[[1, 5], [2, 10], [3, 1], [6, 1], [8, 1]], 218627/33443020800],
[[[1, 5], [2, 10], [3, 1], [6, 1], [10, 1]], 17303/278691840],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 1]], 36623/4180377600],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 1]], 17/1658880],
[[[1, 5], [2, 10], [4, 1], [6, 1], [8, 1]], 177061/3344302080],
[[[1, 5], [2, 10], [4, 1], [6, 1], [10, 1]], 7855517/41803776000],
[[[1, 5], [2, 10], [4, 1], [6, 1], [12, 1]], 17/6967296],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 1]], 4988857/630639820800],
[[[1, 5], [3, 1], [4, 1], [8, 1], [11, 1]], 1/12672],
[[[1, 5], [3, 1], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 5], [3, 2], [4, 1], [5, 2], [8, 1]], 1/23040],
[[[1, 5], [3, 2], [4, 2], [5, 1], [7, 1]], 11/322560],
[[[1, 5], [3, 2], [4, 2], [5, 1], [9, 1]], 1/41472],
[[[1, 5], [3, 3], [4, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 5], [3, 3], [4, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 1/13824],
[[[1, 5], [3, 4], [4, 1], [5, 1], [8, 1]], 7/622080],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3]], 1/9600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 2]], 5/14112],
[[[1, 6], [2, 1], [3, 1], [4, 2], [11, 1]], 1/25344],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2]], 13/691200],
[[[1, 6], [2, 1], [3, 1], [5, 1], [11, 1]], 13/31680],
[[[1, 6], [2, 1], [3, 1], [5, 2], [7, 1]], 71/100800],
[[[1, 6], [2, 1], [3, 1], [5, 2], [9, 1]], 1/4320],
[[[1, 6], [2, 1], [3, 1], [5, 3], [6, 1]], 3/16000],
[[[1, 6], [2, 1], [3, 1], [6, 1], [7, 2]], 1/70560],
[[[1, 6], [2, 1], [3, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 6], [2, 1], [3, 2], [4, 1], [11, 1]], 17/67584],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2]], 37/921600],
[[[1, 6], [2, 1], [3, 2], [4, 2], [8, 2]], 1/24576],
[[[1, 6], [2, 1], [3, 2], [4, 3], [7, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 2], [4, 3], [9, 1]], 41/2488320],
[[[1, 6], [2, 1], [3, 2], [5, 2], [8, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [5, 2], [10, 1]], 1/9600],
[[[1, 6], [2, 1], [3, 2], [6, 1], [11, 1]], 1/4608],
[[[1, 6], [2, 1], [3, 2], [7, 1], [9, 1]], 1/2016],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2]], 7/57600],
[[[1, 6], [2, 1], [3, 3], [4, 2], [7, 1]], 43/1161216],
[[[1, 6], [2, 1], [3, 3], [4, 2], [9, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1]], 11/466560],
[[[1, 6], [2, 1], [3, 3], [4, 3], [8, 1]], 5/331776],
[[[1, 6], [2, 1], [3, 3], [5, 1], [7, 1]], 19/51840],
[[[1, 6], [2, 1], [3, 3], [5, 1], [9, 1]], 1/3240],
[[[1, 6], [2, 1], [3, 3], [5, 2], [6, 1]], 7/28800],
[[[1, 6], [2, 1], [3, 3], [6, 3], [8, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 3], [7, 1], [8, 1]], 1/96768],
[[[1, 6], [2, 1], [3, 3], [8, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 3]], 1/82944],
[[[1, 6], [2, 1], [3, 4], [4, 1], [7, 1]], 19/217728],
[[[1, 6], [2, 1], [3, 4], [4, 1], [9, 1]], 67/497664],
[[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1]], 17/829440],
[[[1, 6], [2, 1], [3, 4], [4, 2], [8, 1]], 7/995328],
[[[1, 6], [2, 1], [3, 4], [5, 1], [8, 1]], 7/1244160],
[[[1, 6], [2, 1], [3, 4], [5, 1], [10, 1]], 1/51840],
[[[1, 6], [2, 1], [3, 4], [6, 1], [7, 1]], 55/326592],
[[[1, 6], [2, 1], [3, 4], [6, 1], [9, 1]], 19/124416],
[[[1, 6], [2, 1], [3, 5], [4, 1], [5, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 5], [4, 1], [8, 1]], 5/248832],
[[[1, 6], [2, 1], [3, 5], [4, 1], [10, 1]], 1/466560],
[[[1, 6], [2, 1], [3, 5], [4, 1], [12, 1]], 1/279936],
[[[1, 6], [2, 1], [3, 5], [4, 2], [6, 1]], 119/17915904],
[[[1, 6], [2, 1], [3, 5], [5, 1], [6, 1]], 71/933120],
[[[1, 6], [2, 1], [3, 5], [6, 1], [8, 1]], 1/559872],
[[[1, 6], [2, 1], [3, 6], [4, 1], [6, 1]], 1/6718464],
[[[1, 6], [2, 1], [4, 1], [5, 1], [11, 1]], 1/5120],
[[[1, 6], [2, 1], [4, 1], [5, 2], [7, 1]], 193/537600],
[[[1, 6], [2, 1], [4, 1], [5, 3], [6, 1]], 1/96000],
[[[1, 6], [2, 1], [4, 1], [8, 1], [11, 1]], 1/33792],
[[[1, 6], [2, 1], [4, 1], [10, 1], [11, 1]], 1/316800],
[[[1, 6], [2, 1], [4, 1], [11, 1], [12, 1]], 1/190080],
[[[1, 6], [2, 1], [4, 2], [5, 1], [8, 2]], 1/61440],
[[[1, 6], [2, 1], [4, 2], [5, 2], [8, 1]], 7/153600],
[[[1, 6], [2, 1], [4, 2], [5, 2], [10, 1]], 1/153600],
[[[1, 6], [2, 1], [4, 3], [5, 1], [7, 1]], 71/9676800],
[[[1, 6], [2, 1], [6, 1], [8, 1], [11, 1]], 1/380160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 5]], 7/179159040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [11, 1]], 13/19008],
[[[1, 6], [2, 3], [3, 1], [4, 1], [22, 1]], 1/33792],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2]], 253/460800],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 2]], 1/4096],
[[[1, 6], [2, 3], [3, 1], [4, 2], [10, 2]], 1/153600],
[[[1, 6], [2, 3], [3, 1], [4, 3], [7, 1]], 23/55296],
[[[1, 6], [2, 3], [3, 1], [4, 3], [9, 1]], 7/82944],
[[[1, 6], [2, 3], [3, 1], [4, 3], [14, 1]], 1/43008],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1]], 25/442368],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 2]], 1/1327104],
[[[1, 6], [2, 3], [3, 1], [4, 4], [8, 1]], 23/147456],
[[[1, 6], [2, 3], [3, 1], [4, 4], [10, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 1]], 7/589824],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 2]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 2]], 11/207360],
[[[1, 6], [2, 3], [3, 1], [5, 2], [8, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 1], [5, 2], [10, 1]], 79/115200],
[[[1, 6], [2, 3], [3, 1], [6, 1], [11, 1]], 2143/6082560],
[[[1, 6], [2, 3], [3, 1], [6, 1], [22, 1]], 1/202752],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 2]], 1/1382400],
[[[1, 6], [2, 3], [3, 1], [6, 3], [7, 1]], 1/725760],
[[[1, 6], [2, 3], [3, 1], [6, 3], [14, 1]], 1/580608],
[[[1, 6], [2, 3], [3, 1], [6, 3], [18, 1]], 1/165888],
[[[1, 6], [2, 3], [3, 1], [7, 1], [9, 1]], 5/18144],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2]], 1133/2764800],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 4]], 1/331776],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 2]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 3]], 1/55296],
[[[1, 6], [2, 3], [3, 2], [4, 2], [7, 1]], 337/387072],
[[[1, 6], [2, 3], [3, 2], [4, 2], [9, 1]], 1157/1990656],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1]], 41/138240],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 2]], 41/368640],
[[[1, 6], [2, 3], [3, 2], [4, 3], [8, 1]], 91/196608],
[[[1, 6], [2, 3], [3, 2], [4, 3], [10, 1]], 7/184320],
[[[1, 6], [2, 3], [3, 2], [4, 3], [12, 1]], 7/110592],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 1]], 13/552960],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 6], [2, 3], [3, 2], [5, 1], [7, 1]], 149/322560],
[[[1, 6], [2, 3], [3, 2], [5, 1], [9, 1]], 7/13824],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 1]], 509/691200],
[[[1, 6], [2, 3], [3, 2], [6, 1], [10, 2]], 1/345600],
[[[1, 6], [2, 3], [3, 2], [6, 2], [7, 1]], 71/362880],
[[[1, 6], [2, 3], [3, 2], [6, 2], [9, 1]], 5/93312],
[[[1, 6], [2, 3], [3, 2], [6, 2], [14, 1]], 1/145152],
[[[1, 6], [2, 3], [3, 2], [6, 2], [18, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 2], [6, 3], [8, 1]], 1/51840],
[[[1, 6], [2, 3], [3, 2], [6, 3], [10, 1]], 1/276480],
[[[1, 6], [2, 3], [3, 2], [7, 1], [8, 1]], 131/967680],
[[[1, 6], [2, 3], [3, 2], [7, 1], [10, 1]], 1/6720],
[[[1, 6], [2, 3], [3, 2], [8, 1], [9, 1]], 251/1244160],
[[[1, 6], [2, 3], [3, 2], [9, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 3]], 11/73728],
[[[1, 6], [2, 3], [3, 3], [4, 1], [7, 1]], 149/387072],
[[[1, 6], [2, 3], [3, 3], [4, 1], [9, 1]], 343/497664],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1]], 31/92160],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 2]], 13/110592],
[[[1, 6], [2, 3], [3, 3], [4, 2], [8, 1]], 289/663552],
[[[1, 6], [2, 3], [3, 3], [4, 2], [10, 1]], 19/311040],
[[[1, 6], [2, 3], [3, 3], [4, 2], [12, 1]], 19/186624],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 1]], 161/1990656],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 2]], 1601/1866240],
[[[1, 6], [2, 3], [3, 3], [5, 1], [8, 1]], 221/3732480],
[[[1, 6], [2, 3], [3, 3], [5, 1], [10, 1]], 371/2073600],
[[[1, 6], [2, 3], [3, 3], [6, 1], [7, 1]], 725/870912],
[[[1, 6], [2, 3], [3, 3], [6, 1], [9, 1]], 389/552960],
[[[1, 6], [2, 3], [3, 3], [6, 2], [8, 1]], 7/62208],
[[[1, 6], [2, 3], [3, 3], [6, 2], [10, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1]], 709/14929920],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 2]], 11843/35831808],
[[[1, 6], [2, 3], [3, 4], [4, 1], [8, 1]], 107/2985984],
[[[1, 6], [2, 3], [3, 4], [4, 1], [10, 1]], 37/1244160],
[[[1, 6], [2, 3], [3, 4], [4, 1], [12, 1]], 23/746496],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 1]], 73/331776],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 1]], 433/1866240],
[[[1, 6], [2, 3], [3, 4], [6, 1], [8, 1]], 31/497664],
[[[1, 6], [2, 3], [3, 4], [6, 1], [10, 1]], 7/233280],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 1]], 527/2985984],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 2]], 551/4608000],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 2]], 7/345600],
[[[1, 6], [2, 3], [4, 1], [5, 2], [8, 1]], 13/38400],
[[[1, 6], [2, 3], [4, 1], [5, 2], [10, 1]], 427/512000],
[[[1, 6], [2, 3], [4, 1], [5, 2], [12, 1]], 1/14400],
[[[1, 6], [2, 3], [4, 1], [6, 1], [11, 1]], 53/760320],
[[[1, 6], [2, 3], [4, 1], [6, 1], [22, 1]], 1/168960],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 2]], 1/442368],
[[[1, 6], [2, 3], [4, 1], [6, 2], [10, 2]], 1/27648000],
[[[1, 6], [2, 3], [4, 1], [6, 3], [14, 1]], 1/11612160],
[[[1, 6], [2, 3], [4, 1], [6, 3], [18, 1]], 13/4976640],
[[[1, 6], [2, 3], [4, 1], [8, 1], [10, 2]], 1/307200],
[[[1, 6], [2, 3], [4, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 6], [2, 3], [4, 2], [5, 1], [7, 1]], 449/516096],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 1]], 1/14400],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 2]], 23/552960],
[[[1, 6], [2, 3], [4, 2], [6, 1], [10, 2]], 1/4608000],
[[[1, 6], [2, 3], [4, 2], [6, 2], [14, 1]], 1/7741440],
[[[1, 6], [2, 3], [4, 2], [6, 2], [18, 1]], 7/1105920],
[[[1, 6], [2, 3], [4, 2], [6, 3], [8, 1]], 1/1105920],
[[[1, 6], [2, 3], [4, 2], [6, 3], [10, 1]], 1/16588800],
[[[1, 6], [2, 3], [4, 2], [7, 1], [8, 1]], 43/86016],
[[[1, 6], [2, 3], [4, 2], [7, 1], [10, 1]], 1/16800],
[[[1, 6], [2, 3], [4, 2], [7, 1], [12, 1]], 1/10080],
[[[1, 6], [2, 3], [4, 2], [8, 1], [14, 1]], 1/86016],
[[[1, 6], [2, 3], [4, 2], [10, 1], [14, 1]], 23/4300800],
[[[1, 6], [2, 3], [4, 3], [5, 1], [8, 1]], 179/491520],
[[[1, 6], [2, 3], [4, 3], [5, 1], [10, 1]], 983/5529600],
[[[1, 6], [2, 3], [4, 3], [5, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [4, 3], [6, 1], [7, 1]], 1/43008],
[[[1, 6], [2, 3], [4, 3], [6, 2], [8, 1]], 7/2654208],
[[[1, 6], [2, 3], [4, 3], [8, 1], [10, 1]], 31/409600],
[[[1, 6], [2, 3], [4, 3], [8, 1], [12, 1]], 19/138240],
[[[1, 6], [2, 3], [5, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 6], [2, 3], [5, 1], [6, 2], [7, 1]], 1/48384],
[[[1, 6], [2, 3], [5, 1], [6, 3], [10, 1]], 1/829440],
[[[1, 6], [2, 3], [5, 1], [7, 1], [8, 1]], 431/4838400],
[[[1, 6], [2, 3], [5, 1], [7, 1], [10, 1]], 1/2688],
[[[1, 6], [2, 3], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 6], [2, 3], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 6], [2, 3], [6, 2], [8, 1], [18, 1]], 1/497664],
[[[1, 6], [2, 3], [6, 2], [10, 1], [14, 1]], 1/58060800],
[[[1, 6], [2, 3], [6, 2], [10, 1], [18, 1]], 1/12441600],
[[[1, 6], [2, 3], [8, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2]], 1913/6912000],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 4]], 2287/89579520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 2]], 91/442368],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 2]], 17/460800],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 3]], 301/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 2], [7, 1]], 943/1548288],
[[[1, 6], [2, 5], [3, 1], [4, 2], [9, 1]], 1/3072],
[[[1, 6], [2, 5], [3, 1], [4, 2], [14, 1]], 5/43008],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1]], 703/1474560],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 2]], 3317/7962624],
[[[1, 6], [2, 5], [3, 1], [4, 3], [8, 1]], 203/196608],
[[[1, 6], [2, 5], [3, 1], [4, 3], [10, 1]], 61/276480],
[[[1, 6], [2, 5], [3, 1], [4, 3], [12, 1]], 5/27648],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 1]], 2161/7077888],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 3]], 1/20736],
[[[1, 6], [2, 5], [3, 1], [5, 1], [7, 1]], 61/430080],
[[[1, 6], [2, 5], [3, 1], [5, 1], [9, 1]], 167/1658880],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 1]], 1387/6635520],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 2]], 451/11059200],
[[[1, 6], [2, 5], [3, 1], [6, 2], [7, 1]], 11/181440],
[[[1, 6], [2, 5], [3, 1], [6, 2], [9, 1]], 5/186624],
[[[1, 6], [2, 5], [3, 1], [6, 2], [14, 1]], 191/4644864],
[[[1, 6], [2, 5], [3, 1], [6, 2], [18, 1]], 127/1990656],
[[[1, 6], [2, 5], [3, 1], [6, 3], [8, 1]], 17/663552],
[[[1, 6], [2, 5], [3, 1], [6, 3], [10, 1]], 23/995328],
[[[1, 6], [2, 5], [3, 1], [7, 1], [8, 1]], 73/774144],
[[[1, 6], [2, 5], [3, 1], [7, 1], [10, 1]], 1/8064],
[[[1, 6], [2, 5], [3, 1], [8, 1], [9, 1]], 25/331776],
[[[1, 6], [2, 5], [3, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 5], [3, 1], [9, 1], [10, 1]], 1/10368],
[[[1, 6], [2, 5], [3, 1], [10, 1], [14, 1]], 1/64512],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 3]], 271/552960],
[[[1, 6], [2, 5], [3, 2], [4, 1], [7, 1]], 643/3225600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [9, 1]], 1799/5529600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [14, 1]], 1/48384],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1]], 211/737280],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 2]], 5581/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 2], [8, 1]], 899/1769472],
[[[1, 6], [2, 5], [3, 2], [4, 2], [10, 1]], 37/184320],
[[[1, 6], [2, 5], [3, 2], [4, 2], [12, 1]], 7/55296],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 1]], 41/55296],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 2]], 163/331776],
[[[1, 6], [2, 5], [3, 2], [5, 1], [8, 1]], 5/110592],
[[[1, 6], [2, 5], [3, 2], [5, 1], [10, 1]], 2471/11059200],
[[[1, 6], [2, 5], [3, 2], [6, 1], [7, 1]], 6827/23224320],
[[[1, 6], [2, 5], [3, 2], [6, 1], [9, 1]], 1553/5971968],
[[[1, 6], [2, 5], [3, 2], [6, 1], [14, 1]], 11/290304],
[[[1, 6], [2, 5], [3, 2], [6, 1], [18, 1]], 1/124416],
[[[1, 6], [2, 5], [3, 2], [6, 2], [8, 1]], 1/5120],
[[[1, 6], [2, 5], [3, 2], [6, 2], [10, 1]], 1063/6635520],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1]], 1429/18662400],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 2]], 3359/2985984],
[[[1, 6], [2, 5], [3, 3], [4, 1], [8, 1]], 581/5971968],
[[[1, 6], [2, 5], [3, 3], [4, 1], [10, 1]], 151/2488320],
[[[1, 6], [2, 5], [3, 3], [4, 1], [12, 1]], 19/1492992],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 1]], 17311/23887872],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 1]], 6863/29859840],
[[[1, 6], [2, 5], [3, 3], [6, 1], [8, 1]], 179/1492992],
[[[1, 6], [2, 5], [3, 3], [6, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 1]], 2669/17915904],
[[[1, 6], [2, 5], [4, 1], [5, 1], [7, 1]], 66341/193536000],
[[[1, 6], [2, 5], [4, 1], [5, 1], [14, 1]], 3/35840],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 1]], 311/2764800],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 2]], 7/55296],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 2]], 91/2764800],
[[[1, 6], [2, 5], [4, 1], [6, 2], [7, 1]], 1/24192],
[[[1, 6], [2, 5], [4, 1], [6, 2], [14, 1]], 109/3870720],
[[[1, 6], [2, 5], [4, 1], [6, 2], [18, 1]], 757/9953280],
[[[1, 6], [2, 5], [4, 1], [6, 3], [8, 1]], 29/1990656],
[[[1, 6], [2, 5], [4, 1], [6, 3], [10, 1]], 103/24883200],
[[[1, 6], [2, 5], [4, 1], [7, 1], [8, 1]], 631/2580480],
[[[1, 6], [2, 5], [4, 1], [7, 1], [10, 1]], 59/322560],
[[[1, 6], [2, 5], [4, 1], [7, 1], [12, 1]], 11/193536],
[[[1, 6], [2, 5], [4, 1], [8, 1], [14, 1]], 11/129024],
[[[1, 6], [2, 5], [4, 1], [10, 1], [14, 1]], 23/368640],
[[[1, 6], [2, 5], [4, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 2]], 83/1105920],
[[[1, 6], [2, 5], [4, 2], [5, 1], [8, 1]], 1213/1474560],
[[[1, 6], [2, 5], [4, 2], [5, 1], [10, 1]], 211/184320],
[[[1, 6], [2, 5], [4, 2], [5, 1], [12, 1]], 19/138240],
[[[1, 6], [2, 5], [4, 2], [6, 1], [7, 1]], 31/215040],
[[[1, 6], [2, 5], [4, 2], [6, 1], [14, 1]], 67/774144],
[[[1, 6], [2, 5], [4, 2], [6, 1], [18, 1]], 131/1105920],
[[[1, 6], [2, 5], [4, 2], [6, 2], [8, 1]], 647/4423680],
[[[1, 6], [2, 5], [4, 2], [6, 2], [10, 1]], 131/3686400],
[[[1, 6], [2, 5], [4, 2], [6, 2], [12, 1]], 1/73728],
[[[1, 6], [2, 5], [4, 2], [8, 1], [10, 1]], 1799/3686400],
[[[1, 6], [2, 5], [4, 2], [8, 1], [12, 1]], 37/221184],
[[[1, 6], [2, 5], [4, 2], [10, 1], [12, 1]], 1/20480],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 1]], 41/221184],
[[[1, 6], [2, 5], [4, 3], [6, 1], [8, 1]], 13111/26542080],
[[[1, 6], [2, 5], [4, 3], [6, 1], [10, 1]], 71/884736],
[[[1, 6], [2, 5], [4, 3], [6, 1], [12, 1]], 5/55296],
[[[1, 6], [2, 5], [5, 1], [6, 1], [7, 1]], 1/16128],
[[[1, 6], [2, 5], [5, 1], [6, 1], [14, 1]], 1/80640],
[[[1, 6], [2, 5], [5, 1], [6, 1], [18, 1]], 1/34560],
[[[1, 6], [2, 5], [5, 1], [6, 2], [10, 1]], 37/442368],
[[[1, 6], [2, 5], [5, 1], [8, 1], [10, 1]], 1021/5529600],
[[[1, 6], [2, 5], [6, 1], [7, 1], [8, 1]], 11/387072],
[[[1, 6], [2, 5], [6, 1], [8, 1], [14, 1]], 1/48384],
[[[1, 6], [2, 5], [6, 1], [8, 1], [18, 1]], 7/248832],
[[[1, 6], [2, 5], [6, 1], [10, 1], [14, 1]], 859/58060800],
[[[1, 6], [2, 5], [6, 1], [10, 1], [18, 1]], 451/24883200],
[[[1, 6], [2, 5], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 3]], 78913/199065600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [7, 1]], 95/2322432],
[[[1, 6], [2, 7], [3, 1], [4, 1], [9, 1]], 121/3317760],
[[[1, 6], [2, 7], [3, 1], [4, 1], [14, 1]], 241/2580480],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1]], 397/4423680],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 2]], 3289/3317760],
[[[1, 6], [2, 7], [3, 1], [4, 2], [8, 1]], 4333/13271040],
[[[1, 6], [2, 7], [3, 1], [4, 2], [10, 1]], 151/819200],
[[[1, 6], [2, 7], [3, 1], [4, 2], [12, 1]], 1/55296],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 1]], 6011/7962624],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 2]], 11/82944],
[[[1, 6], [2, 7], [3, 1], [5, 1], [8, 1]], 1/138240],
[[[1, 6], [2, 7], [3, 1], [5, 1], [10, 1]], 1807/16588800],
[[[1, 6], [2, 7], [3, 1], [6, 1], [7, 1]], 3599/116121600],
[[[1, 6], [2, 7], [3, 1], [6, 1], [9, 1]], 7/373248],
[[[1, 6], [2, 7], [3, 1], [6, 1], [14, 1]], 641/4644864],
[[[1, 6], [2, 7], [3, 1], [6, 1], [18, 1]], 23/497664],
[[[1, 6], [2, 7], [3, 1], [6, 2], [8, 1]], 253/2654208],
[[[1, 6], [2, 7], [3, 1], [6, 2], [10, 1]], 3631/16588800],
[[[1, 6], [2, 7], [3, 1], [8, 1], [10, 1]], 43/5529600],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1]], 13/614400],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 2]], 17993/22118400],
[[[1, 6], [2, 7], [3, 2], [4, 1], [8, 1]], 1487/26542080],
[[[1, 6], [2, 7], [3, 2], [4, 1], [10, 1]], 1051/33177600],
[[[1, 6], [2, 7], [3, 2], [4, 1], [12, 1]], 7/6635520],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 1]], 19507/44236800],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 1]], 707/16588800],
[[[1, 6], [2, 7], [3, 2], [6, 1], [8, 1]], 107/2211840],
[[[1, 6], [2, 7], [3, 2], [6, 1], [10, 1]], 421/4147200],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 1]], 4337/39813120],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 2]], 253/2764800],
[[[1, 6], [2, 7], [4, 1], [5, 1], [8, 1]], 2729/22118400],
[[[1, 6], [2, 7], [4, 1], [5, 1], [10, 1]], 4631/11059200],
[[[1, 6], [2, 7], [4, 1], [5, 1], [12, 1]], 7/1843200],
[[[1, 6], [2, 7], [4, 1], [6, 1], [7, 1]], 3/57344],
[[[1, 6], [2, 7], [4, 1], [6, 1], [14, 1]], 4003/19353600],
[[[1, 6], [2, 7], [4, 1], [6, 1], [18, 1]], 1763/16588800],
[[[1, 6], [2, 7], [4, 1], [6, 2], [8, 1]], 4393/26542080],
[[[1, 6], [2, 7], [4, 1], [6, 2], [10, 1]], 27733/165888000],
[[[1, 6], [2, 7], [4, 1], [6, 2], [12, 1]], 41/3317760],
[[[1, 6], [2, 7], [4, 1], [8, 1], [10, 1]], 33/163840],
[[[1, 6], [2, 7], [4, 1], [10, 1], [12, 1]], 43/2764800],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 1]], 167/737280],
[[[1, 6], [2, 7], [4, 2], [6, 1], [8, 1]], 419/691200],
[[[1, 6], [2, 7], [4, 2], [6, 1], [10, 1]], 22961/55296000],
[[[1, 6], [2, 7], [4, 2], [6, 1], [12, 1]], 7/110592],
[[[1, 6], [2, 7], [5, 1], [6, 1], [8, 1]], 7/3686400],
[[[1, 6], [2, 7], [5, 1], [6, 1], [10, 1]], 1081/5529600],
[[[1, 6], [2, 7], [6, 1], [8, 1], [10, 1]], 77/2211840],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1]], 5/3538944],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 2]], 4643453/12541132800],
[[[1, 6], [2, 9], [3, 1], [4, 1], [8, 1]], 485/21233664],
[[[1, 6], [2, 9], [3, 1], [4, 1], [10, 1]], 7703/232243200],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 1]], 752393/2972712960],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 1]], 1751/132710400],
[[[1, 6], [2, 9], [3, 1], [6, 1], [8, 1]], 6899/371589120],
[[[1, 6], [2, 9], [3, 1], [6, 1], [10, 1]], 15251/154828800],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 1]], 17357/371589120],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 1]], 1591/44236800],
[[[1, 6], [2, 9], [4, 1], [6, 1], [8, 1]], 36733/371589120],
[[[1, 6], [2, 9], [4, 1], [6, 1], [10, 1]], 28351/132710400],
[[[1, 6], [2, 9], [4, 1], [6, 1], [12, 1]], 17/3317760],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 1]], 35329291/1103619686400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [11, 1]], 3/11264],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2]], 21/102400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 2]], 1/18432],
[[[1, 7], [2, 2], [3, 1], [4, 3], [7, 1]], 1/24192],
[[[1, 7], [2, 2], [3, 1], [4, 3], [9, 1]], 13/829440],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1]], 119/11059200],
[[[1, 7], [2, 2], [3, 1], [4, 4], [8, 1]], 1/34560],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 2]], 1/129600],
[[[1, 7], [2, 2], [3, 1], [5, 2], [8, 1]], 7/115200],
[[[1, 7], [2, 2], [3, 1], [5, 2], [10, 1]], 337/1152000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [11, 1]], 5/55296],
[[[1, 7], [2, 2], [3, 1], [6, 1], [22, 1]], 1/6082560],
[[[1, 7], [2, 2], [3, 1], [6, 3], [18, 1]], 1/14929920],
[[[1, 7], [2, 2], [3, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2]], 301/614400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 4]], 1/6635520],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 2]], 1/49152],
[[[1, 7], [2, 2], [3, 2], [4, 2], [7, 1]], 139/368640],
[[[1, 7], [2, 2], [3, 2], [4, 2], [9, 1]], 503/3317760],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1]], 493/8294400],
[[[1, 7], [2, 2], [3, 2], [4, 3], [8, 1]], 17/294912],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 1]], 1/442368],
[[[1, 7], [2, 2], [3, 2], [5, 1], [7, 1]], 73/102400],
[[[1, 7], [2, 2], [3, 2], [5, 1], [9, 1]], 1757/4147200],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 1]], 793/1382400],
[[[1, 7], [2, 2], [3, 2], [6, 2], [7, 1]], 1/45360],
[[[1, 7], [2, 2], [3, 2], [6, 2], [9, 1]], 7/933120],
[[[1, 7], [2, 2], [3, 2], [7, 1], [8, 1]], 11/161280],
[[[1, 7], [2, 2], [3, 2], [7, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 2], [3, 2], [8, 1], [9, 1]], 59/829440],
[[[1, 7], [2, 2], [3, 2], [9, 1], [10, 1]], 7/259200],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 3]], 1/331776],
[[[1, 7], [2, 2], [3, 3], [4, 1], [7, 1]], 481/995328],
[[[1, 7], [2, 2], [3, 3], [4, 1], [9, 1]], 131/331776],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1]], 83/368640],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 2]], 1/34560],
[[[1, 7], [2, 2], [3, 3], [4, 2], [8, 1]], 349/1990656],
[[[1, 7], [2, 2], [3, 3], [4, 2], [10, 1]], 43/3110400],
[[[1, 7], [2, 2], [3, 3], [4, 2], [12, 1]], 43/1866240],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 1]], 467/29859840],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 2]], 4769/22394880],
[[[1, 7], [2, 2], [3, 3], [5, 1], [8, 1]], 13/311040],
[[[1, 7], [2, 2], [3, 3], [5, 1], [10, 1]], 1459/12441600],
[[[1, 7], [2, 2], [3, 3], [6, 1], [7, 1]], 4943/8709120],
[[[1, 7], [2, 2], [3, 3], [6, 1], [9, 1]], 493/1492992],
[[[1, 7], [2, 2], [3, 3], [6, 2], [8, 1]], 43/3732480],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1]], 473/2488320],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 2]], 7/1119744],
[[[1, 7], [2, 2], [3, 4], [4, 1], [8, 1]], 29/331776],
[[[1, 7], [2, 2], [3, 4], [4, 1], [10, 1]], 13/1244160],
[[[1, 7], [2, 2], [3, 4], [4, 1], [12, 1]], 13/746496],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 1]], 85/2985984],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 1]], 1997/5598720],
[[[1, 7], [2, 2], [3, 4], [6, 1], [8, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 1]], 3023/35831808],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 2]], 1/122880],
[[[1, 7], [2, 2], [4, 1], [5, 1], [10, 2]], 11/4608000],
[[[1, 7], [2, 2], [4, 1], [5, 2], [8, 1]], 47/307200],
[[[1, 7], [2, 2], [4, 1], [5, 2], [10, 1]], 2699/23040000],
[[[1, 7], [2, 2], [4, 1], [5, 2], [12, 1]], 7/432000],
[[[1, 7], [2, 2], [4, 1], [6, 1], [11, 1]], 17/1520640],
[[[1, 7], [2, 2], [4, 2], [5, 1], [7, 1]], 41/204800],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 1]], 7/460800],
[[[1, 7], [2, 2], [4, 2], [6, 2], [18, 1]], 1/3317760],
[[[1, 7], [2, 2], [4, 2], [7, 1], [8, 1]], 1/11520],
[[[1, 7], [2, 2], [4, 2], [7, 1], [10, 1]], 1/201600],
[[[1, 7], [2, 2], [4, 2], [7, 1], [12, 1]], 1/120960],
[[[1, 7], [2, 2], [4, 2], [10, 1], [14, 1]], 1/4300800],
[[[1, 7], [2, 2], [4, 3], [5, 1], [8, 1]], 7/245760],
[[[1, 7], [2, 2], [4, 3], [5, 1], [10, 1]], 23/5529600],
[[[1, 7], [2, 2], [4, 3], [6, 2], [8, 1]], 1/8847360],
[[[1, 7], [2, 2], [4, 3], [8, 1], [10, 1]], 1/2457600],
[[[1, 7], [2, 2], [5, 1], [6, 2], [7, 1]], 1/518400],
[[[1, 7], [2, 2], [5, 1], [7, 1], [8, 1]], 89/3225600],
[[[1, 7], [2, 2], [5, 1], [7, 1], [10, 1]], 29/336000],
[[[1, 7], [2, 2], [5, 2], [6, 1], [8, 1]], 7/864000],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2]], 883/1382400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 4]], 13/7464960],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 2]], 287/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 2]], 1/307200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 3]], 73/13271040],
[[[1, 7], [2, 4], [3, 1], [4, 2], [7, 1]], 167/172032],
[[[1, 7], [2, 4], [3, 1], [4, 2], [9, 1]], 95/331776],
[[[1, 7], [2, 4], [3, 1], [4, 2], [14, 1]], 1/43008],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1]], 2261/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 2]], 25/995328],
[[[1, 7], [2, 4], [3, 1], [4, 3], [8, 1]], 131/196608],
[[[1, 7], [2, 4], [3, 1], [4, 3], [10, 1]], 739/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 3], [12, 1]], 7/92160],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 1]], 2693/26542080],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 3]], 11/1036800],
[[[1, 7], [2, 4], [3, 1], [5, 1], [7, 1]], 2633/6451200],
[[[1, 7], [2, 4], [3, 1], [5, 1], [9, 1]], 841/4976640],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 1]], 56777/165888000],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 2]], 7/11059200],
[[[1, 7], [2, 4], [3, 1], [6, 2], [7, 1]], 29/725760],
[[[1, 7], [2, 4], [3, 1], [6, 2], [9, 1]], 1/62208],
[[[1, 7], [2, 4], [3, 1], [6, 2], [14, 1]], 61/23224320],
[[[1, 7], [2, 4], [3, 1], [6, 2], [18, 1]], 131/29859840],
[[[1, 7], [2, 4], [3, 1], [6, 3], [8, 1]], 1/663552],
[[[1, 7], [2, 4], [3, 1], [6, 3], [10, 1]], 11/16588800],
[[[1, 7], [2, 4], [3, 1], [7, 1], [8, 1]], 29/241920],
[[[1, 7], [2, 4], [3, 1], [7, 1], [10, 1]], 1/8064],
[[[1, 7], [2, 4], [3, 1], [8, 1], [9, 1]], 7/103680],
[[[1, 7], [2, 4], [3, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 7], [2, 4], [3, 1], [10, 1], [14, 1]], 1/967680],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 3]], 77/1105920],
[[[1, 7], [2, 4], [3, 2], [4, 1], [7, 1]], 1361/1935360],
[[[1, 7], [2, 4], [3, 2], [4, 1], [9, 1]], 5663/9953280],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1]], 361/442368],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 2]], 67/163840],
[[[1, 7], [2, 4], [3, 2], [4, 2], [8, 1]], 3359/4423680],
[[[1, 7], [2, 4], [3, 2], [4, 2], [10, 1]], 31/276480],
[[[1, 7], [2, 4], [3, 2], [4, 2], [12, 1]], 41/331776],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 1]], 2479/6635520],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 2]], 13517/33177600],
[[[1, 7], [2, 4], [3, 2], [5, 1], [8, 1]], 403/4147200],
[[[1, 7], [2, 4], [3, 2], [5, 1], [10, 1]], 137/442368],
[[[1, 7], [2, 4], [3, 2], [6, 1], [7, 1]], 15803/23224320],
[[[1, 7], [2, 4], [3, 2], [6, 1], [9, 1]], 1789/5971968],
[[[1, 7], [2, 4], [3, 2], [6, 1], [14, 1]], 1/193536],
[[[1, 7], [2, 4], [3, 2], [6, 2], [8, 1]], 257/3317760],
[[[1, 7], [2, 4], [3, 2], [6, 2], [10, 1]], 289/16588800],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1]], 2153/7464960],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 2]], 34621/44789760],
[[[1, 7], [2, 4], [3, 3], [4, 1], [8, 1]], 10481/59719680],
[[[1, 7], [2, 4], [3, 3], [4, 1], [10, 1]], 157/1866240],
[[[1, 7], [2, 4], [3, 3], [4, 1], [12, 1]], 43/1119744],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 1]], 3607/4423680],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 1]], 12701/22394880],
[[[1, 7], [2, 4], [3, 3], [6, 1], [8, 1]], 5717/44789760],
[[[1, 7], [2, 4], [3, 3], [6, 1], [10, 1]], 19/207360],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 1]], 4727/8957952],
[[[1, 7], [2, 4], [4, 1], [5, 1], [7, 1]], 3419/5529600],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 1]], 247/3456000],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 2]], 11/368640],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 2]], 11/13824000],
[[[1, 7], [2, 4], [4, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 7], [2, 4], [4, 1], [6, 2], [14, 1]], 19/11612160],
[[[1, 7], [2, 4], [4, 1], [6, 2], [18, 1]], 7/1105920],
[[[1, 7], [2, 4], [4, 1], [6, 3], [8, 1]], 1/2488320],
[[[1, 7], [2, 4], [4, 1], [6, 3], [10, 1]], 1/24883200],
[[[1, 7], [2, 4], [4, 1], [7, 1], [8, 1]], 2137/7741440],
[[[1, 7], [2, 4], [4, 1], [7, 1], [10, 1]], 71/806400],
[[[1, 7], [2, 4], [4, 1], [7, 1], [12, 1]], 23/483840],
[[[1, 7], [2, 4], [4, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 7], [2, 4], [4, 1], [10, 1], [14, 1]], 31/12902400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 2]], 1/110592],
[[[1, 7], [2, 4], [4, 2], [5, 1], [8, 1]], 2119/3686400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [10, 1]], 7193/18432000],
[[[1, 7], [2, 4], [4, 2], [5, 1], [12, 1]], 37/460800],
[[[1, 7], [2, 4], [4, 2], [6, 1], [7, 1]], 25/387072],
[[[1, 7], [2, 4], [4, 2], [6, 1], [14, 1]], 17/2580480],
[[[1, 7], [2, 4], [4, 2], [6, 1], [18, 1]], 1/103680],
[[[1, 7], [2, 4], [4, 2], [6, 2], [8, 1]], 383/26542080],
[[[1, 7], [2, 4], [4, 2], [6, 2], [10, 1]], 1/737280],
[[[1, 7], [2, 4], [4, 2], [8, 1], [10, 1]], 3/32768],
[[[1, 7], [2, 4], [4, 2], [8, 1], [12, 1]], 61/1105920],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 1]], 1/23040],
[[[1, 7], [2, 4], [4, 3], [6, 1], [8, 1]], 2081/26542080],
[[[1, 7], [2, 4], [4, 3], [6, 1], [10, 1]], 71/22118400],
[[[1, 7], [2, 4], [5, 1], [6, 1], [7, 1]], 37/907200],
[[[1, 7], [2, 4], [5, 1], [6, 2], [10, 1]], 407/33177600],
[[[1, 7], [2, 4], [5, 1], [8, 1], [10, 1]], 427/5529600],
[[[1, 7], [2, 4], [6, 1], [7, 1], [8, 1]], 23/967680],
[[[1, 7], [2, 4], [6, 1], [8, 1], [14, 1]], 1/774144],
[[[1, 7], [2, 4], [6, 1], [8, 1], [18, 1]], 1/331776],
[[[1, 7], [2, 4], [6, 1], [10, 1], [14, 1]], 1/2764800],
[[[1, 7], [2, 4], [6, 1], [10, 1], [18, 1]], 1/8294400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 3]], 4337/39813120],
[[[1, 7], [2, 6], [3, 1], [4, 1], [7, 1]], 4003/19353600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [9, 1]], 1763/16588800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [14, 1]], 3/57344],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1]], 22961/55296000],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 2]], 19507/44236800],
[[[1, 7], [2, 6], [3, 1], [4, 2], [8, 1]], 419/691200],
[[[1, 7], [2, 6], [3, 1], [4, 2], [10, 1]], 167/737280],
[[[1, 7], [2, 6], [3, 1], [4, 2], [12, 1]], 7/110592],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 1]], 6011/7962624],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 2]], 421/4147200],
[[[1, 7], [2, 6], [3, 1], [5, 1], [8, 1]], 77/2211840],
[[[1, 7], [2, 6], [3, 1], [5, 1], [10, 1]], 1081/5529600],
[[[1, 7], [2, 6], [3, 1], [6, 1], [7, 1]], 641/4644864],
[[[1, 7], [2, 6], [3, 1], [6, 1], [9, 1]], 23/497664],
[[[1, 7], [2, 6], [3, 1], [6, 1], [14, 1]], 3599/116121600],
[[[1, 7], [2, 6], [3, 1], [6, 1], [18, 1]], 7/373248],
[[[1, 7], [2, 6], [3, 1], [6, 2], [8, 1]], 107/2211840],
[[[1, 7], [2, 6], [3, 1], [6, 2], [10, 1]], 707/16588800],
[[[1, 7], [2, 6], [3, 1], [8, 1], [10, 1]], 7/3686400],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1]], 27733/165888000],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 2]], 17993/22118400],
[[[1, 7], [2, 6], [3, 2], [4, 1], [8, 1]], 4393/26542080],
[[[1, 7], [2, 6], [3, 2], [4, 1], [10, 1]], 253/2764800],
[[[1, 7], [2, 6], [3, 2], [4, 1], [12, 1]], 41/3317760],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 1]], 3289/3317760],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 1]], 3631/16588800],
[[[1, 7], [2, 6], [3, 2], [6, 1], [8, 1]], 253/2654208],
[[[1, 7], [2, 6], [3, 2], [6, 1], [10, 1]], 11/82944],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 1]], 78913/199065600],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 2]], 1051/33177600],
[[[1, 7], [2, 6], [4, 1], [5, 1], [8, 1]], 33/163840],
[[[1, 7], [2, 6], [4, 1], [5, 1], [10, 1]], 4631/11059200],
[[[1, 7], [2, 6], [4, 1], [5, 1], [12, 1]], 43/2764800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [7, 1]], 241/2580480],
[[[1, 7], [2, 6], [4, 1], [6, 1], [14, 1]], 95/2322432],
[[[1, 7], [2, 6], [4, 1], [6, 1], [18, 1]], 121/3317760],
[[[1, 7], [2, 6], [4, 1], [6, 2], [8, 1]], 1487/26542080],
[[[1, 7], [2, 6], [4, 1], [6, 2], [10, 1]], 13/614400],
[[[1, 7], [2, 6], [4, 1], [6, 2], [12, 1]], 7/6635520],
[[[1, 7], [2, 6], [4, 1], [8, 1], [10, 1]], 2729/22118400],
[[[1, 7], [2, 6], [4, 1], [10, 1], [12, 1]], 7/1843200],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 1]], 151/819200],
[[[1, 7], [2, 6], [4, 2], [6, 1], [8, 1]], 4333/13271040],
[[[1, 7], [2, 6], [4, 2], [6, 1], [10, 1]], 397/4423680],
[[[1, 7], [2, 6], [4, 2], [6, 1], [12, 1]], 1/55296],
[[[1, 7], [2, 6], [5, 1], [6, 1], [8, 1]], 43/5529600],
[[[1, 7], [2, 6], [5, 1], [6, 1], [10, 1]], 1807/16588800],
[[[1, 7], [2, 6], [6, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1]], 263/11059200],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 2]], 92083/278691840],
[[[1, 7], [2, 8], [3, 1], [4, 1], [8, 1]], 37/552960],
[[[1, 7], [2, 8], [3, 1], [4, 1], [10, 1]], 53/921600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [12, 1]], 1/1105920],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 1]], 92873/206438400],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 1]], 1651/41472000],
[[[1, 7], [2, 8], [3, 1], [6, 1], [8, 1]], 11/368640],
[[[1, 7], [2, 8], [3, 1], [6, 1], [10, 1]], 9269/116121600],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 1]], 1339/8294400],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 1]], 407/6635520],
[[[1, 7], [2, 8], [4, 1], [6, 1], [8, 1]], 791/7372800],
[[[1, 7], [2, 8], [4, 1], [6, 1], [10, 1]], 9443/82944000],
[[[1, 7], [2, 8], [4, 1], [6, 1], [12, 1]], 7/1658880],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 1]], 47263021/668860416000],
[[[1, 7], [3, 1], [4, 1], [5, 2], [8, 1]], 1/57600],
[[[1, 7], [3, 1], [4, 2], [5, 1], [7, 1]], 1/179200],
[[[1, 7], [3, 1], [4, 2], [5, 1], [9, 1]], 1/414720],
[[[1, 7], [3, 2], [4, 1], [7, 1], [8, 1]], 1/46080],
[[[1, 7], [3, 2], [4, 1], [8, 1], [9, 1]], 7/414720],
[[[1, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/1105920],
[[[1, 7], [3, 3], [4, 1], [5, 1], [8, 1]], 19/1244160],
[[[1, 7], [4, 1], [5, 1], [7, 1], [8, 1]], 1/230400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [11, 1]], 1/42240],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2]], 23/2304000],
[[[1, 8], [2, 1], [3, 1], [4, 2], [8, 2]], 1/184320],
[[[1, 8], [2, 1], [3, 1], [4, 3], [7, 1]], 17/3870720],
[[[1, 8], [2, 1], [3, 1], [4, 3], [9, 1]], 23/14929920],
[[[1, 8], [2, 1], [3, 1], [5, 2], [8, 1]], 1/115200],
[[[1, 8], [2, 1], [3, 1], [5, 2], [10, 1]], 1/25600],
[[[1, 8], [2, 1], [3, 1], [6, 1], [11, 1]], 5/946176],
[[[1, 8], [2, 1], [3, 1], [7, 1], [9, 1]], 1/30240],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2]], 43/368640],
[[[1, 8], [2, 1], [3, 2], [4, 2], [7, 1]], 1/60480],
[[[1, 8], [2, 1], [3, 2], [4, 2], [9, 1]], 37/3317760],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1]], 1397/174182400],
[[[1, 8], [2, 1], [3, 2], [4, 3], [8, 1]], 31/8847360],
[[[1, 8], [2, 1], [3, 2], [5, 1], [7, 1]], 2929/9676800],
[[[1, 8], [2, 1], [3, 2], [5, 1], [9, 1]], 287/2073600],
[[[1, 8], [2, 1], [3, 2], [5, 2], [6, 1]], 47/460800],
[[[1, 8], [2, 1], [3, 2], [7, 1], [8, 1]], 1/92160],
[[[1, 8], [2, 1], [3, 2], [8, 1], [9, 1]], 7/829440],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 3]], 1/6635520],
[[[1, 8], [2, 1], [3, 3], [4, 1], [7, 1]], 4253/34836480],
[[[1, 8], [2, 1], [3, 3], [4, 1], [9, 1]], 101/1658880],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1]], 11/691200],
[[[1, 8], [2, 1], [3, 3], [4, 2], [8, 1]], 43/4976640],
[[[1, 8], [2, 1], [3, 3], [5, 1], [8, 1]], 19/2488320],
[[[1, 8], [2, 1], [3, 3], [5, 1], [10, 1]], 17/829440],
[[[1, 8], [2, 1], [3, 3], [6, 1], [7, 1]], 25/248832],
[[[1, 8], [2, 1], [3, 3], [6, 1], [9, 1]], 323/6967296],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1]], 673/9953280],
[[[1, 8], [2, 1], [3, 4], [4, 1], [8, 1]], 17/663552],
[[[1, 8], [2, 1], [3, 4], [4, 1], [10, 1]], 29/18662400],
[[[1, 8], [2, 1], [3, 4], [4, 1], [12, 1]], 29/11197440],
[[[1, 8], [2, 1], [3, 4], [4, 2], [6, 1]], 41/11197440],
[[[1, 8], [2, 1], [3, 4], [5, 1], [6, 1]], 65/746496],
[[[1, 8], [2, 1], [3, 4], [6, 1], [8, 1]], 29/22394880],
[[[1, 8], [2, 1], [3, 5], [4, 1], [6, 1]], 1/2239488],
[[[1, 8], [2, 1], [4, 1], [5, 2], [8, 1]], 11/576000],
[[[1, 8], [2, 1], [4, 1], [5, 2], [10, 1]], 11/20160000],
[[[1, 8], [2, 1], [4, 1], [5, 2], [12, 1]], 11/12096000],
[[[1, 8], [2, 1], [4, 1], [6, 1], [11, 1]], 1/1520640],
[[[1, 8], [2, 1], [4, 2], [5, 1], [7, 1]], 13/4300800],
[[[1, 8], [2, 1], [4, 2], [7, 1], [8, 1]], 1/322560],
[[[1, 8], [2, 1], [4, 3], [5, 1], [8, 1]], 1/1474560],
[[[1, 8], [2, 1], [5, 1], [7, 1], [8, 1]], 1/460800],
[[[1, 8], [2, 1], [5, 1], [7, 1], [10, 1]], 1/201600],
[[[1, 8], [2, 1], [5, 2], [6, 1], [8, 1]], 11/24192000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2]], 7807/13824000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 2]], 1/30720],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 3]], 1/4423680],
[[[1, 8], [2, 3], [3, 1], [4, 2], [7, 1]], 3209/7741440],
[[[1, 8], [2, 3], [3, 1], [4, 2], [9, 1]], 229/2488320],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1]], 2953/22118400],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 2]], 1/3317760],
[[[1, 8], [2, 3], [3, 1], [4, 3], [8, 1]], 121/983040],
[[[1, 8], [2, 3], [3, 1], [4, 3], [10, 1]], 1/230400],
[[[1, 8], [2, 3], [3, 1], [4, 3], [12, 1]], 1/138240],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 1]], 307/123863040],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 3]], 1/1451520],
[[[1, 8], [2, 3], [3, 1], [5, 1], [7, 1]], 193/430080],
[[[1, 8], [2, 3], [3, 1], [5, 1], [9, 1]], 1051/8294400],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 1]], 15643/77414400],
[[[1, 8], [2, 3], [3, 1], [6, 1], [10, 2]], 1/55296000],
[[[1, 8], [2, 3], [3, 1], [6, 2], [7, 1]], 29/2903040],
[[[1, 8], [2, 3], [3, 1], [6, 2], [9, 1]], 1/311040],
[[[1, 8], [2, 3], [3, 1], [6, 2], [14, 1]], 1/23224320],
[[[1, 8], [2, 3], [3, 1], [6, 2], [18, 1]], 1/9953280],
[[[1, 8], [2, 3], [3, 1], [7, 1], [8, 1]], 47/774144],
[[[1, 8], [2, 3], [3, 1], [7, 1], [10, 1]], 1/28800],
[[[1, 8], [2, 3], [3, 1], [8, 1], [9, 1]], 379/14929920],
[[[1, 8], [2, 3], [3, 1], [9, 1], [10, 1]], 1/86400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 3]], 1/331776],
[[[1, 8], [2, 3], [3, 2], [4, 1], [7, 1]], 851/1290240],
[[[1, 8], [2, 3], [3, 2], [4, 1], [9, 1]], 653/1990656],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1]], 5909/11059200],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 2]], 91/4423680],
[[[1, 8], [2, 3], [3, 2], [4, 2], [8, 1]], 2831/8847360],
[[[1, 8], [2, 3], [3, 2], [4, 2], [10, 1]], 17/829440],
[[[1, 8], [2, 3], [3, 2], [4, 2], [12, 1]], 17/497664],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 1]], 827/17418240],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 2]], 34241/348364800],
[[[1, 8], [2, 3], [3, 2], [5, 1], [8, 1]], 5933/87091200],
[[[1, 8], [2, 3], [3, 2], [5, 1], [10, 1]], 8939/55296000],
[[[1, 8], [2, 3], [3, 2], [6, 1], [7, 1]], 2027/4644864],
[[[1, 8], [2, 3], [3, 2], [6, 1], [9, 1]], 1283/9953280],
[[[1, 8], [2, 3], [3, 2], [6, 2], [8, 1]], 869/69672960],
[[[1, 8], [2, 3], [3, 2], [6, 2], [10, 1]], 1/11059200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1]], 34927/74649600],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 2]], 13829/89579520],
[[[1, 8], [2, 3], [3, 3], [4, 1], [8, 1]], 2537/14929920],
[[[1, 8], [2, 3], [3, 3], [4, 1], [10, 1]], 169/6220800],
[[[1, 8], [2, 3], [3, 3], [4, 1], [12, 1]], 83/3732480],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 1]], 9109/39813120],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 1]], 1127/1990656],
[[[1, 8], [2, 3], [3, 3], [6, 1], [8, 1]], 289/5971968],
[[[1, 8], [2, 3], [3, 3], [6, 1], [10, 1]], 43/3110400],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 1]], 16091/44789760],
[[[1, 8], [2, 3], [4, 1], [5, 1], [7, 1]], 13891/38707200],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 1]], 1733/96768000],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 2]], 7/2211840],
[[[1, 8], [2, 3], [4, 1], [6, 2], [7, 1]], 1/725760],
[[[1, 8], [2, 3], [4, 1], [6, 2], [18, 1]], 1/9953280],
[[[1, 8], [2, 3], [4, 1], [7, 1], [8, 1]], 143/1290240],
[[[1, 8], [2, 3], [4, 1], [7, 1], [10, 1]], 11/806400],
[[[1, 8], [2, 3], [4, 1], [7, 1], [12, 1]], 1/69120],
[[[1, 8], [2, 3], [4, 1], [10, 1], [14, 1]], 1/12902400],
[[[1, 8], [2, 3], [4, 2], [5, 1], [8, 1]], 1193/7372800],
[[[1, 8], [2, 3], [4, 2], [5, 1], [10, 1]], 1907/43008000],
[[[1, 8], [2, 3], [4, 2], [5, 1], [12, 1]], 71/4838400],
[[[1, 8], [2, 3], [4, 2], [6, 1], [7, 1]], 1/69120],
[[[1, 8], [2, 3], [4, 2], [6, 1], [14, 1]], 1/5160960],
[[[1, 8], [2, 3], [4, 2], [6, 1], [18, 1]], 1/2211840],
[[[1, 8], [2, 3], [4, 2], [6, 2], [8, 1]], 1/13271040],
[[[1, 8], [2, 3], [4, 2], [8, 1], [10, 1]], 1/245760],
[[[1, 8], [2, 3], [4, 2], [8, 1], [12, 1]], 7/1105920],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 1]], 1/147456],
[[[1, 8], [2, 3], [4, 3], [6, 1], [8, 1]], 53/8847360],
[[[1, 8], [2, 3], [4, 3], [6, 1], [10, 1]], 1/7372800],
[[[1, 8], [2, 3], [5, 1], [6, 1], [7, 1]], 13/1612800],
[[[1, 8], [2, 3], [5, 1], [6, 2], [10, 1]], 17/33177600],
[[[1, 8], [2, 3], [5, 1], [8, 1], [10, 1]], 23/1843200],
[[[1, 8], [2, 3], [6, 1], [7, 1], [8, 1]], 1/138240],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 3]], 169/13271040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [7, 1]], 16349/38707200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [9, 1]], 79/583200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [14, 1]], 11/1548288],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1]], 3811/5529600],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 2]], 107/1290240],
[[[1, 8], [2, 5], [3, 1], [4, 2], [8, 1]], 121/221184],
[[[1, 8], [2, 5], [3, 1], [4, 2], [10, 1]], 131/1474560],
[[[1, 8], [2, 5], [3, 1], [4, 2], [12, 1]], 7/138240],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 1]], 193/655360],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 2]], 601/14515200],
[[[1, 8], [2, 5], [3, 1], [5, 1], [8, 1]], 299/5529600],
[[[1, 8], [2, 5], [3, 1], [5, 1], [10, 1]], 953/5529600],
[[[1, 8], [2, 5], [3, 1], [6, 1], [7, 1]], 9281/46448640],
[[[1, 8], [2, 5], [3, 1], [6, 1], [9, 1]], 59/1866240],
[[[1, 8], [2, 5], [3, 1], [6, 1], [14, 1]], 43/23224320],
[[[1, 8], [2, 5], [3, 1], [6, 1], [18, 1]], 1/497664],
[[[1, 8], [2, 5], [3, 1], [6, 2], [8, 1]], 169/13271040],
[[[1, 8], [2, 5], [3, 1], [6, 2], [10, 1]], 1/663552],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1]], 149771/348364800],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 2]], 3821/10321920],
[[[1, 8], [2, 5], [3, 2], [4, 1], [8, 1]], 34609/159252480],
[[[1, 8], [2, 5], [3, 2], [4, 1], [10, 1]], 577/6635520],
[[[1, 8], [2, 5], [3, 2], [4, 1], [12, 1]], 85/3981312],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 1]], 67753/79626240],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 1]], 281563/696729600],
[[[1, 8], [2, 5], [3, 2], [6, 1], [8, 1]], 1909/23224320],
[[[1, 8], [2, 5], [3, 2], [6, 1], [10, 1]], 29/460800],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 1]], 248257/358318080],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 2]], 37/2764800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [8, 1]], 2061/11468800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [10, 1]], 227/1024000],
[[[1, 8], [2, 5], [4, 1], [5, 1], [12, 1]], 89/5529600],
[[[1, 8], [2, 5], [4, 1], [6, 1], [7, 1]], 1307/23224320],
[[[1, 8], [2, 5], [4, 1], [6, 1], [14, 1]], 13/3870720],
[[[1, 8], [2, 5], [4, 1], [6, 1], [18, 1]], 41/9953280],
[[[1, 8], [2, 5], [4, 1], [6, 2], [8, 1]], 19/1966080],
[[[1, 8], [2, 5], [4, 1], [6, 2], [10, 1]], 1/1228800],
[[[1, 8], [2, 5], [4, 1], [8, 1], [10, 1]], 163/4915200],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 1]], 2423/38707200],
[[[1, 8], [2, 5], [4, 2], [6, 1], [8, 1]], 1063/13271040],
[[[1, 8], [2, 5], [4, 2], [6, 1], [10, 1]], 217/44236800],
[[[1, 8], [2, 5], [5, 1], [6, 1], [8, 1]], 89/11059200],
[[[1, 8], [2, 5], [5, 1], [6, 1], [10, 1]], 481/16588800],
[[[1, 8], [2, 5], [6, 1], [8, 1], [10, 1]], 1/2211840],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1]], 9443/82944000],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 2]], 1339/8294400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [8, 1]], 791/7372800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [10, 1]], 407/6635520],
[[[1, 8], [2, 7], [3, 1], [4, 1], [12, 1]], 7/1658880],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 1]], 92873/206438400],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 1]], 9269/116121600],
[[[1, 8], [2, 7], [3, 1], [6, 1], [8, 1]], 11/368640],
[[[1, 8], [2, 7], [3, 1], [6, 1], [10, 1]], 1651/41472000],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 1]], 92083/278691840],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 1]], 53/921600],
[[[1, 8], [2, 7], [4, 1], [6, 1], [8, 1]], 37/552960],
[[[1, 8], [2, 7], [4, 1], [6, 1], [10, 1]], 263/11059200],
[[[1, 8], [2, 7], [4, 1], [6, 1], [12, 1]], 1/1105920],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 1]], 25769/275251200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2]], 829/4608000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 2]], 1/368640],
[[[1, 9], [2, 2], [3, 1], [4, 2], [7, 1]], 61/1290240],
[[[1, 9], [2, 2], [3, 1], [4, 2], [9, 1]], 7/663552],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1]], 4801/464486400],
[[[1, 9], [2, 2], [3, 1], [4, 3], [8, 1]], 7/983040],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 1]], 1/35389440],
[[[1, 9], [2, 2], [3, 1], [5, 1], [7, 1]], 1241/6451200],
[[[1, 9], [2, 2], [3, 1], [5, 1], [9, 1]], 1097/24883200],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 1]], 5233/129024000],
[[[1, 9], [2, 2], [3, 1], [6, 2], [7, 1]], 1/1451520],
[[[1, 9], [2, 2], [3, 1], [6, 2], [9, 1]], 1/5598720],
[[[1, 9], [2, 2], [3, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 9], [2, 2], [3, 1], [7, 1], [10, 1]], 1/403200],
[[[1, 9], [2, 2], [3, 1], [8, 1], [9, 1]], 1/248832],
[[[1, 9], [2, 2], [3, 1], [9, 1], [10, 1]], 1/1555200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [7, 1]], 451/2322432],
[[[1, 9], [2, 2], [3, 2], [4, 1], [9, 1]], 1679/23224320],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1]], 7073/77414400],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 2]], 1/2654208],
[[[1, 9], [2, 2], [3, 2], [4, 2], [8, 1]], 727/18579456],
[[[1, 9], [2, 2], [3, 2], [4, 2], [10, 1]], 169/116121600],
[[[1, 9], [2, 2], [3, 2], [4, 2], [12, 1]], 169/69672960],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 1]], 689/358318080],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 2]], 12899/2090188800],
[[[1, 9], [2, 2], [3, 2], [5, 1], [8, 1]], 1031/58060800],
[[[1, 9], [2, 2], [3, 2], [5, 1], [10, 1]], 7403/232243200],
[[[1, 9], [2, 2], [3, 2], [6, 1], [7, 1]], 3163/32514048],
[[[1, 9], [2, 2], [3, 2], [6, 1], [9, 1]], 13631/627056640],
[[[1, 9], [2, 2], [3, 2], [6, 2], [8, 1]], 169/313528320],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1]], 5119/24883200],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 2]], 43/14929920],
[[[1, 9], [2, 2], [3, 3], [4, 1], [8, 1]], 1/18432],
[[[1, 9], [2, 2], [3, 3], [4, 1], [10, 1]], 19/7257600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [12, 1]], 19/4354560],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 1]], 8249/836075520],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 1]], 56977/313528320],
[[[1, 9], [2, 2], [3, 3], [6, 1], [8, 1]], 151/23224320],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 1]], 5827/89579520],
[[[1, 9], [2, 2], [4, 1], [5, 1], [7, 1]], 6749/90316800],
[[[1, 9], [2, 2], [4, 1], [5, 2], [6, 1]], 109/48384000],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 2]], 1/6635520],
[[[1, 9], [2, 2], [4, 1], [7, 1], [8, 1]], 23/1290240],
[[[1, 9], [2, 2], [4, 1], [7, 1], [10, 1]], 1/967680],
[[[1, 9], [2, 2], [4, 1], [7, 1], [12, 1]], 1/580608],
[[[1, 9], [2, 2], [4, 2], [5, 1], [8, 1]], 89/5160960],
[[[1, 9], [2, 2], [4, 2], [5, 1], [10, 1]], 1429/774144000],
[[[1, 9], [2, 2], [4, 2], [5, 1], [12, 1]], 43/58060800],
[[[1, 9], [2, 2], [4, 2], [6, 1], [7, 1]], 1/967680],
[[[1, 9], [2, 2], [4, 2], [8, 1], [10, 1]], 1/5529600],
[[[1, 9], [2, 2], [4, 2], [8, 1], [12, 1]], 1/3317760],
[[[1, 9], [2, 2], [5, 1], [6, 1], [7, 1]], 1/2073600],
[[[1, 9], [2, 2], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 9], [2, 2], [6, 1], [7, 1], [8, 1]], 1/1161216],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 3]], 1/2064384],
[[[1, 9], [2, 4], [3, 1], [4, 1], [7, 1]], 1243/3870720],
[[[1, 9], [2, 4], [3, 1], [4, 1], [9, 1]], 2197/29859840],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1]], 367/884736],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 2]], 1633/185794560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [8, 1]], 313/1474560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [10, 1]], 127/9676800],
[[[1, 9], [2, 4], [3, 1], [4, 2], [12, 1]], 17/1161216],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 1]], 2869/74317824],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 2]], 101/9676800],
[[[1, 9], [2, 4], [3, 1], [5, 1], [8, 1]], 8023/232243200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [10, 1]], 1997/27648000],
[[[1, 9], [2, 4], [3, 1], [6, 1], [7, 1]], 509/4644864],
[[[1, 9], [2, 4], [3, 1], [6, 1], [9, 1]], 199/22394880],
[[[1, 9], [2, 4], [3, 1], [6, 1], [14, 1]], 1/30965760],
[[[1, 9], [2, 4], [3, 1], [6, 2], [8, 1]], 197/92897280],
[[[1, 9], [2, 4], [3, 1], [6, 2], [10, 1]], 1/66355200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1]], 329597/696729600],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 2]], 188021/2508226560],
[[[1, 9], [2, 4], [3, 2], [4, 1], [8, 1]], 10273/69672960],
[[[1, 9], [2, 4], [3, 2], [4, 1], [10, 1]], 679/24883200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [12, 1]], 169/14929920],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 1]], 4087/15482880],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 1]], 47107/149299200],
[[[1, 9], [2, 4], [3, 2], [6, 1], [8, 1]], 11317/358318080],
[[[1, 9], [2, 4], [3, 2], [6, 1], [10, 1]], 17/1451520],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 1]], 361453/836075520],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 2]], 71/29030400],
[[[1, 9], [2, 4], [4, 1], [5, 1], [8, 1]], 10433/116121600],
[[[1, 9], [2, 4], [4, 1], [5, 1], [10, 1]], 5443/96768000],
[[[1, 9], [2, 4], [4, 1], [5, 1], [12, 1]], 61/9676800],
[[[1, 9], [2, 4], [4, 1], [6, 1], [7, 1]], 53/3317760],
[[[1, 9], [2, 4], [4, 1], [6, 1], [14, 1]], 1/15482880],
[[[1, 9], [2, 4], [4, 1], [6, 1], [18, 1]], 1/6635520],
[[[1, 9], [2, 4], [4, 1], [6, 2], [8, 1]], 113/106168320],
[[[1, 9], [2, 4], [4, 1], [8, 1], [10, 1]], 113/29491200],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 1]], 7459/464486400],
[[[1, 9], [2, 4], [4, 2], [6, 1], [8, 1]], 37/3440640],
[[[1, 9], [2, 4], [4, 2], [6, 1], [10, 1]], 1/8847360],
[[[1, 9], [2, 4], [5, 1], [6, 1], [8, 1]], 61/19353600],
[[[1, 9], [2, 4], [5, 1], [6, 1], [10, 1]], 53/16588800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1]], 28351/132710400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 2]], 17357/371589120],
[[[1, 9], [2, 6], [3, 1], [4, 1], [8, 1]], 36733/371589120],
[[[1, 9], [2, 6], [3, 1], [4, 1], [10, 1]], 1591/44236800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [12, 1]], 17/3317760],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 1]], 752393/2972712960],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 1]], 15251/154828800],
[[[1, 9], [2, 6], [3, 1], [6, 1], [8, 1]], 6899/371589120],
[[[1, 9], [2, 6], [3, 1], [6, 1], [10, 1]], 1751/132710400],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 1]], 4643453/12541132800],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 1]], 7703/232243200],
[[[1, 9], [2, 6], [4, 1], [6, 1], [8, 1]], 485/21233664],
[[[1, 9], [2, 6], [4, 1], [6, 1], [10, 1]], 5/3538944],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 1]], 25769/275251200],
[[[1, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 1/645120],
[[[1, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 1/2488320],
[[[1, 9], [3, 2], [4, 1], [5, 1], [8, 1]], 17/5806080],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2]], 1/57600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [7, 1]], 1/663552],
[[[1, 10], [2, 1], [3, 1], [4, 2], [9, 1]], 1/2488320],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1]], 3067/4180377600],
[[[1, 10], [2, 1], [3, 1], [4, 3], [8, 1]], 7/26542080],
[[[1, 10], [2, 1], [3, 1], [5, 1], [7, 1]], 4477/135475200],
[[[1, 10], [2, 1], [3, 1], [5, 1], [9, 1]], 233/34836480],
[[[1, 10], [2, 1], [3, 1], [5, 2], [6, 1]], 31/14336000],
[[[1, 10], [2, 1], [3, 1], [7, 1], [8, 1]], 1/1290240],
[[[1, 10], [2, 1], [3, 1], [8, 1], [9, 1]], 1/4976640],
[[[1, 10], [2, 1], [3, 2], [4, 1], [7, 1]], 151/10160640],
[[[1, 10], [2, 1], [3, 2], [4, 1], [9, 1]], 347/69672960],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1]], 209/77414400],
[[[1, 10], [2, 1], [3, 2], [4, 2], [8, 1]], 169/185794560],
[[[1, 10], [2, 1], [3, 2], [5, 1], [8, 1]], 17/11612160],
[[[1, 10], [2, 1], [3, 2], [5, 1], [10, 1]], 131/77414400],
[[[1, 10], [2, 1], [3, 2], [6, 1], [7, 1]], 8887/1463132160],
[[[1, 10], [2, 1], [3, 2], [6, 1], [9, 1]], 5/4644864],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1]], 301/12441600],
[[[1, 10], [2, 1], [3, 3], [4, 1], [8, 1]], 361/69672960],
[[[1, 10], [2, 1], [3, 3], [4, 1], [10, 1]], 113/783820800],
[[[1, 10], [2, 1], [3, 3], [4, 1], [12, 1]], 113/470292480],
[[[1, 10], [2, 1], [3, 3], [4, 2], [6, 1]], 1241/2508226560],
[[[1, 10], [2, 1], [3, 3], [5, 1], [6, 1]], 6001/348364800],
[[[1, 10], [2, 1], [3, 3], [6, 1], [8, 1]], 113/940584960],
[[[1, 10], [2, 1], [3, 4], [4, 1], [6, 1]], 29/89579520],
[[[1, 10], [2, 1], [4, 1], [5, 1], [7, 1]], 1241/270950400],
[[[1, 10], [2, 1], [4, 1], [5, 2], [6, 1]], 11/96768000],
[[[1, 10], [2, 1], [4, 1], [7, 1], [8, 1]], 1/860160],
[[[1, 10], [2, 1], [4, 1], [7, 1], [10, 1]], 1/24192000],
[[[1, 10], [2, 1], [4, 1], [7, 1], [12, 1]], 1/14515200],
[[[1, 10], [2, 1], [4, 2], [5, 1], [8, 1]], 43/154828800],
[[[1, 10], [2, 1], [4, 2], [5, 1], [10, 1]], 1/22118400],
[[[1, 10], [2, 1], [6, 1], [7, 1], [8, 1]], 1/29030400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [7, 1]], 899/9031680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [9, 1]], 3833/209018880],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1]], 14809/154828800],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 2]], 19/61931520],
[[[1, 10], [2, 3], [3, 1], [4, 2], [8, 1]], 2161/61931520],
[[[1, 10], [2, 3], [3, 1], [4, 2], [10, 1]], 17/17418240],
[[[1, 10], [2, 3], [3, 1], [4, 2], [12, 1]], 17/10450944],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 1]], 66391/33443020800],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 2]], 1/870912],
[[[1, 10], [2, 3], [3, 1], [5, 1], [8, 1]], 205/20901888],
[[[1, 10], [2, 3], [3, 1], [5, 1], [10, 1]], 79/5529600],
[[[1, 10], [2, 3], [3, 1], [6, 1], [7, 1]], 63467/2438553600],
[[[1, 10], [2, 3], [3, 1], [6, 1], [9, 1]], 1/933120],
[[[1, 10], [2, 3], [3, 1], [6, 2], [8, 1]], 421/2090188800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1]], 72209/348364800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 2]], 2939/501645312],
[[[1, 10], [2, 3], [3, 2], [4, 1], [8, 1]], 25307/557383680],
[[[1, 10], [2, 3], [3, 2], [4, 1], [10, 1]], 97/33177600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [12, 1]], 341/139345920],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 1]], 1651/61931520],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 1]], 15527/149299200],
[[[1, 10], [2, 3], [3, 2], [6, 1], [8, 1]], 4421/836075520],
[[[1, 10], [2, 3], [3, 2], [6, 1], [10, 1]], 169/261273600],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 1]], 752839/7524679680],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 2]], 43/348364800],
[[[1, 10], [2, 3], [4, 1], [5, 1], [8, 1]], 1181/51609600],
[[[1, 10], [2, 3], [4, 1], [5, 1], [10, 1]], 1619/258048000],
[[[1, 10], [2, 3], [4, 1], [5, 1], [12, 1]], 127/116121600],
[[[1, 10], [2, 3], [4, 1], [6, 1], [7, 1]], 43/16588800],
[[[1, 10], [2, 3], [4, 1], [6, 2], [8, 1]], 1/19906560],
[[[1, 10], [2, 3], [4, 1], [8, 1], [10, 1]], 1/5529600],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 1]], 67/33177600],
[[[1, 10], [2, 3], [4, 2], [6, 1], [8, 1]], 19/20643840],
[[[1, 10], [2, 3], [5, 1], [6, 1], [8, 1]], 127/232243200],
[[[1, 10], [2, 3], [5, 1], [6, 1], [10, 1]], 1/8294400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1]], 7855517/41803776000],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 2]], 36623/4180377600],
[[[1, 10], [2, 5], [3, 1], [4, 1], [8, 1]], 177061/3344302080],
[[[1, 10], [2, 5], [3, 1], [4, 1], [10, 1]], 17/1658880],
[[[1, 10], [2, 5], [3, 1], [4, 1], [12, 1]], 17/6967296],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 1]], 981371/13377208320],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 1]], 17303/278691840],
[[[1, 10], [2, 5], [3, 1], [6, 1], [8, 1]], 218627/33443020800],
[[[1, 10], [2, 5], [3, 1], [6, 1], [10, 1]], 53/20643840],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 1]], 1970117/10032906240],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 1]], 15007/1393459200],
[[[1, 10], [2, 5], [4, 1], [6, 1], [8, 1]], 9943/2229534720],
[[[1, 10], [2, 5], [4, 1], [6, 1], [10, 1]], 7/265420800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 1]], 47263021/668860416000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [7, 1]], 3047/243855360],
[[[1, 11], [2, 2], [3, 1], [4, 1], [9, 1]], 47/23224320],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1]], 1759/232243200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [8, 1]], 1207/557383680],
[[[1, 11], [2, 2], [3, 1], [4, 2], [10, 1]], 31/870912000],
[[[1, 11], [2, 2], [3, 1], [4, 2], [12, 1]], 31/522547200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 1]], 8557/220723937280],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 2]], 17/391910400],
[[[1, 11], [2, 2], [3, 1], [5, 1], [8, 1]], 119/99532800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [10, 1]], 2087/1741824000],
[[[1, 11], [2, 2], [3, 1], [6, 1], [7, 1]], 79/30105600],
[[[1, 11], [2, 2], [3, 1], [6, 1], [9, 1]], 1/22394880],
[[[1, 11], [2, 2], [3, 1], [6, 2], [8, 1]], 37/5518098432],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1]], 8389/232243200],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 2]], 169/1254113280],
[[[1, 11], [2, 2], [3, 2], [4, 1], [8, 1]], 367/61931520],
[[[1, 11], [2, 2], [3, 2], [4, 1], [10, 1]], 227/1741824000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [12, 1]], 227/1045094400],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 1]], 2117/2786918400],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 1]], 44657/3135283200],
[[[1, 11], [2, 2], [3, 2], [6, 1], [8, 1]], 433/1393459200],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 1]], 52139/7524679680],
[[[1, 11], [2, 2], [4, 1], [5, 1], [8, 1]], 419/154828800],
[[[1, 11], [2, 2], [4, 1], [5, 1], [10, 1]], 437/1658880000],
[[[1, 11], [2, 2], [4, 1], [5, 1], [12, 1]], 73/870912000],
[[[1, 11], [2, 2], [4, 1], [6, 1], [7, 1]], 1/4300800],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 1]], 43/464486400],
[[[1, 11], [2, 2], [4, 2], [6, 1], [8, 1]], 1/26542080],
[[[1, 11], [2, 2], [5, 1], [6, 1], [8, 1]], 73/1741824000],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1]], 41117/522547200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 2]], 413/410572800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [8, 1]], 64193/4180377600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [10, 1]], 1361/1045094400],
[[[1, 11], [2, 4], [3, 1], [4, 1], [12, 1]], 341/627056640],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 1]], 8423/825753600],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 1]], 616417/31352832000],
[[[1, 11], [2, 4], [3, 1], [6, 1], [8, 1]], 12457/10218700800],
[[[1, 11], [2, 4], [3, 1], [6, 1], [10, 1]], 421/1741824000],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 1]], 605179/12541132800],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 1]], 6509/3483648000],
[[[1, 11], [2, 4], [4, 1], [6, 1], [8, 1]], 653/1393459200],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 1]], 35329291/1103619686400],
[[[1, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 17/174182400],
[[[1, 12], [2, 1], [3, 1], [4, 1], [7, 1]], 2623/4877107200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [9, 1]], 11/139345920],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1]], 587/4644864000],
[[[1, 12], [2, 1], [3, 1], [4, 2], [8, 1]], 31/1393459200],
[[[1, 12], [2, 1], [3, 1], [5, 1], [8, 1]], 17/348364800],
[[[1, 12], [2, 1], [3, 1], [5, 1], [10, 1]], 1/29030400],
[[[1, 12], [2, 1], [3, 1], [6, 1], [7, 1]], 1187/12875563008],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1]], 47/23224320],
[[[1, 12], [2, 1], [3, 2], [4, 1], [8, 1]], 3193/11147673600],
[[[1, 12], [2, 1], [3, 2], [4, 1], [10, 1]], 13/3284582400],
[[[1, 12], [2, 1], [3, 2], [4, 1], [12, 1]], 13/1970749440],
[[[1, 12], [2, 1], [3, 2], [4, 2], [6, 1]], 73/3941498880],
[[[1, 12], [2, 1], [3, 2], [5, 1], [6, 1]], 2647/4180377600],
[[[1, 12], [2, 1], [3, 2], [6, 1], [8, 1]], 13/3941498880],
[[[1, 12], [2, 1], [3, 3], [4, 1], [6, 1]], 113/3762339840],
[[[1, 12], [2, 1], [4, 1], [5, 1], [8, 1]], 1147/9289728000],
[[[1, 12], [2, 1], [4, 1], [5, 1], [10, 1]], 19/13685760000],
[[[1, 12], [2, 1], [4, 1], [5, 1], [12, 1]], 19/8211456000],
[[[1, 12], [2, 1], [4, 1], [6, 1], [7, 1]], 1/116121600],
[[[1, 12], [2, 1], [5, 1], [6, 1], [8, 1]], 19/16422912000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1]], 165323/10450944000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 2]], 8773/137952460800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [8, 1]], 1367/597196800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [10, 1]], 31/435456000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [12, 1]], 31/522547200],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 1]], 5563/9083289600],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 1]], 35909/11496038400],
[[[1, 12], [2, 3], [3, 1], [6, 1], [8, 1]], 3379/30656102400],
[[[1, 12], [2, 3], [3, 1], [6, 1], [10, 1]], 37/4598415360],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 1]], 6811/1313832960],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 1]], 10853/57480192000],
[[[1, 12], [2, 3], [4, 1], [6, 1], [8, 1]], 949/45984153600],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 1]], 4988857/630639820800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1]], 40123/27869184000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 2]], 37/22072393728],
[[[1, 13], [2, 2], [3, 1], [4, 1], [8, 1]], 613/3715891200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [10, 1]], 1/547430400],
[[[1, 13], [2, 2], [3, 1], [4, 1], [12, 1]], 1/328458240],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 1]], 2753/183936614400],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 1]], 321649/1379524608000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [8, 1]], 1/247726080],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 1]], 1753/8622028800],
[[[1, 13], [2, 2], [4, 1], [5, 1], [6, 1]], 1271/114960384000],
[[[1, 13], [2, 2], [4, 1], [6, 1], [8, 1]], 17/91968307200],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 1]], 4544363/4414478745600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1]], 577/12262440960],
[[[1, 14], [2, 1], [3, 1], [4, 1], [8, 1]], 197/40874803200],
[[[1, 14], [2, 1], [3, 1], [4, 1], [10, 1]], 1/28740096000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [12, 1]], 1/17244057600],
[[[1, 14], [2, 1], [3, 1], [4, 2], [6, 1]], 37/176579149824],
[[[1, 14], [2, 1], [3, 1], [5, 1], [6, 1]], 20893/3218890752000],
[[[1, 14], [2, 1], [3, 1], [6, 1], [8, 1]], 1/34488115200],
[[[1, 14], [2, 1], [3, 2], [4, 1], [6, 1]], 13/15765995520],
[[[1, 14], [2, 1], [4, 1], [5, 1], [6, 1]], 19/65691648000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 1]], 21083/315319910400],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 1]], 55591/30901351219200],
[[[1, 16], [2, 1], [3, 1], [4, 1], [6, 1]], 1/137952460800],
[[[2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/1728],
[[[2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[2, 3], [4, 1], [6, 2], [8, 1], [22, 1]], 1/12672],
[[[2, 3], [4, 1], [6, 4], [8, 1], [18, 1]], 1/31104],
[[[2, 3], [4, 1], [8, 1], [10, 1], [22, 1]], 1/3520],
[[[2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/11200],
[[[2, 3], [4, 2], [6, 1], [10, 1], [22, 1]], 1/10560],
[[[2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/33600],
[[[2, 3], [4, 2], [6, 3], [10, 1], [14, 1]], 1/120960],
[[[2, 3], [4, 2], [6, 3], [10, 1], [18, 1]], 1/25920],
[[[2, 3], [6, 2], [10, 1], [14, 1], [18, 1]], 1/1890],
[[[2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 1/13824],
[[[2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 1/12672],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/23040],
[[[2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/48384],
[[[2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 1/20736],
[[[2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 7/622080],
[[[2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 11/322560],
[[[2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 1/41472],
[[[2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/1105920],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1/57600],
[[[2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 1/46080],
[[[2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 7/414720],
[[[2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 19/1244160],
[[[2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 1/230400],
[[[2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 1/179200],
[[[2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 1/414720],
[[[2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 1/645120],
[[[2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1/2488320],
[[[2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 17/5806080],
[[[2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 17/174182400],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [22, 1]], 1/12672],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [18, 1]], 1/31104],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [11, 1]], 1/50688],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 4], [12, 1]], 1/41472],
[[[1, 1], [2, 2], [3, 1], [6, 1], [10, 1], [14, 2]], 1/2940],
[[[1, 1], [2, 2], [3, 1], [6, 1], [14, 1], [22, 1]], 1/924],
[[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [11, 1]], 1/3168],
[[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [22, 1]], 1/9504],
[[[1, 1], [2, 2], [3, 1], [6, 3], [14, 1], [18, 1]], 1/2268],
[[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [18, 1]], 1/23328],
[[[1, 1], [2, 2], [3, 1], [8, 1], [10, 1], [22, 1]], 1/2640],
[[[1, 1], [2, 2], [3, 1], [8, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 2], [3, 3], [4, 2], [6, 1], [12, 2]], 1/5184],
[[[1, 1], [2, 2], [3, 3], [4, 3], [6, 1], [9, 1]], 1/124416],
[[[1, 1], [2, 2], [3, 3], [4, 3], [6, 2], [12, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 1/165888],
[[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [9, 1]], 1/7776],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [22, 1]], 1/7920],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [18, 1]], 1/19440],
[[[1, 1], [2, 2], [4, 1], [5, 1], [10, 1], [22, 1]], 1/2200],
[[[1, 1], [2, 2], [4, 1], [5, 1], [10, 2], [14, 1]], 1/7000],
[[[1, 1], [2, 2], [4, 1], [6, 2], [12, 1], [22, 1]], 1/4752],
[[[1, 1], [2, 2], [4, 1], [6, 4], [12, 1], [18, 1]], 1/11664],
[[[1, 1], [2, 2], [4, 1], [10, 1], [12, 1], [22, 1]], 1/1320],
[[[1, 1], [2, 2], [4, 1], [10, 2], [12, 1], [14, 1]], 1/4200],
[[[1, 1], [2, 2], [4, 3], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 1], [2, 2], [4, 3], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [11, 1]], 1/12672],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 1/38016],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 1/93312],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [8, 1]], 7/746496],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 1/31104],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 1], [22, 1]], 1/10560],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [22, 1]], 1/101376],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/23040],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 1/48384],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 5/248832],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 1/34560],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/36864],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1/147456],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/73728],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [11, 1]], 1/25344],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [22, 1]], 1/9504],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [22, 1]], 1/1056],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/1120],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 1/4536],
[[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/2016],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 4], [3, 1], [6, 4], [8, 1], [10, 1]], 7/466560],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 1/10368],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/6912],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4096],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 1/3456],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [9, 1]], 1/62208],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [22, 1]], 1/7920],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 1/30240],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 1/12960],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 7/388800],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 1/1760],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/2400],
[[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [22, 1]], 1/4752],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/115200],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [12, 1]], 1/8640],
[[[1, 1], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 1/5376],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/6912],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/8640],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [14, 1]], 1/18144],
[[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 1/7776],
[[[1, 1], [2, 4], [4, 1], [6, 4], [10, 1], [12, 1]], 7/233280],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/69120],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/17920],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/11520],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 3/17920],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 31/483840],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 1/207360],
[[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1260],
[[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [11, 1]], 1/1013760],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 1/38016],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/69120],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1/62208],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 7/373248],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 7/1866240],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 17/497664],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/184320],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 1/276480],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 1/497664],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 7/276480],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/36864],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/17280],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/43200],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/34560],
[[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 7/311040],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 11/17920],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 19/933120],
[[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/172800],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/41472],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1/55296],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 1/2488320],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 1/165888],
[[[1, 1], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 1/3317760],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/36000],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/28800],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 7/259200],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 19/777600],
[[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/144000],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 11/57600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 1/21600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 1/3584],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 1/9216],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 43/71680],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 1/5120],
[[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 1/17280],
[[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 7/155520],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 29/207360],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 19/466560],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 13/107520],
[[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/86400],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 5/64512],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1/21504],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/172800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 1/138240],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 7/1244160],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 43/4976640],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 19/3732480],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 131/46448640],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 1/691200],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 1/7741440],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 5/1548288],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2949120],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/1327104],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 1/483840],
[[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 1/1866240],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 191/9031680],
[[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 17/4354560],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1/6635520],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/403200],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 1/1555200],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 17/3628800],
[[[1, 1], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1/921600],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 1/138240],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 527/3225600],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 11/276480],
[[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 1/241920],
[[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 1/933120],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 101/1382400],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 17/2177280],
[[[1, 1], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 1/460800],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 7/460800],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 1/1935360],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 1/7464960],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 169/418037760],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 17/17418240],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 1/17418240],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1/15482880],
[[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 17/130636800],
[[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 17/108864000],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 271/38707200],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 17/65318400],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 37/7357464576],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 17/522547200],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/5573836800],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 3], [12, 2]], 1/5184],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [22, 1]], 1/50688],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 3], [18, 1]], 1/124416],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 3], [12, 1]], 1/165888],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [7, 2]], 1/2940],
[[[1, 2], [2, 1], [3, 1], [6, 1], [7, 1], [11, 1]], 1/924],
[[[1, 2], [2, 1], [3, 2], [4, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 2], [2, 1], [3, 2], [4, 1], [11, 1], [12, 1]], 1/4752],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [11, 1]], 1/12672],
[[[1, 2], [2, 1], [3, 2], [4, 3], [5, 1], [7, 1]], 1/483840],
[[[1, 2], [2, 1], [3, 2], [4, 3], [5, 1], [9, 1]], 1/103680],
[[[1, 2], [2, 1], [3, 2], [4, 3], [6, 3], [12, 1]], 1/13824],
[[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [11, 1]], 1/9504],
[[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [22, 1]], 1/3168],
[[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [18, 1]], 1/7776],
[[[1, 2], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/2268],
[[[1, 2], [2, 1], [3, 4], [4, 1], [9, 1], [10, 1]], 1/19440],
[[[1, 2], [2, 1], [3, 4], [4, 1], [9, 1], [12, 1]], 1/11664],
[[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [9, 1]], 1/31104],
[[[1, 2], [2, 1], [3, 4], [4, 3], [6, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [9, 1]], 1/23328],
[[[1, 2], [2, 1], [4, 1], [5, 1], [10, 1], [11, 1]], 1/2200],
[[[1, 2], [2, 1], [4, 1], [5, 1], [11, 1], [12, 1]], 1/1320],
[[[1, 2], [2, 1], [4, 1], [5, 2], [7, 1], [10, 1]], 1/7000],
[[[1, 2], [2, 1], [4, 1], [5, 2], [7, 1], [12, 1]], 1/4200],
[[[1, 2], [2, 1], [5, 1], [6, 1], [8, 1], [11, 1]], 1/2640],
[[[1, 2], [2, 1], [5, 2], [6, 1], [7, 1], [8, 1]], 1/8400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 5]], 7/466560],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/2352],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [11, 1]], 1/6336],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [22, 1]], 5/9504],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 5/23328],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [12, 1]], 7/279936],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [22, 1]], 1/5280],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [11, 1]], 3/11264],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 1/16896],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/5184],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 1/48384],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/460800],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/92160],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/248832],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 1/46080],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 5/55296],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 1/129024],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 5/82944],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 1/73728],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [11, 1]], 1/5280],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [7, 1]], 1/30240],
[[[1, 2], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 1/28800],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [11, 1]], 1/4224],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [22, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [11, 1]], 1/2640],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 1/1584],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/3150],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 1/86400],
[[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/1512],
[[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [14, 1]], 1/36288],
[[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [18, 1]], 5/20736],
[[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [14, 1]], 1/45360],
[[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3888],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [11, 1]], 1/38016],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [22, 1]], 1/12672],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/6912],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/31104],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/27648],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1728],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/92160],
[[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1/82944],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 7/110592],
[[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 1/276480],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/15120],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/241920],
[[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 1/51840],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [10, 2]], 1/5760],
[[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/12096],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 1/15552],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 73/90720],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/19440],
[[[1, 2], [2, 3], [3, 2], [6, 3], [8, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/15552],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 19/31104],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 5/10368],
[[[1, 2], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/12288],
[[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 1/93312],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 5/31104],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [11, 1]], 1/10560],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [22, 1]], 1/2640],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/72000],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/30240],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 1/2400],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/33600],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2400],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [11, 1]], 1/4224],
[[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [22, 1]], 1/1584],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [12, 1]], 1/43200],
[[[1, 2], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [14, 1]], 1/18144],
[[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/7680],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 13/96000],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [14, 1]], 1/20160],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 13/345600],
[[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/11200],
[[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 3/11200],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [12, 1]], 1/7200],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/7680],
[[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 3], [4, 2], [6, 3], [10, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 9/17920],
[[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/276480],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 1/4200],
[[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/5400],
[[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 7/233280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 1/50688],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 395/608256],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 161/345600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 25/48384],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 193/497664],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 157/746496],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 223/933120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 191/1119744],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 7/115200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 7/73728],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 47/921600],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/12960],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 1/32256],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 5/129024],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 7/165888],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 17/165888],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 41/414720],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 67/221184],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/17920],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/241920],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 11/55296],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 7/73728],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 349/1658880],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 7/9600],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/230400],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 5/27648],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 5/32256],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 7/41472],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 5/3024],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 7/9720],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 71/622080],
[[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/23040],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/9676800],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 1/2073600],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/55296],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1/23040],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/48384],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/48384],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 1/62208],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 19/55296],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1/82944],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1/69120],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 5/36864],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 209/331776],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/110592],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 1/483840],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/96768],
[[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/241920],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/22680],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 1/38880],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 1/124416],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 5/62208],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 1/497664],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 13/28800],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 89/518400],
[[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1920],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 7/57600],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 11/38400],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 1/4320],
[[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 1/1512],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 23/32256],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 29/32256],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 23/34560],
[[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 1/13824],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 11/77760],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 11/17920],
[[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 161/921600],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 19/153600],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 11/16128],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 29/35840],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1/9216],
[[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 5/24192],
[[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2304],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1050],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800],
[[[1, 2], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/5760],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 43/3110400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/9216000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 31/2211840],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1703/5529600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 1727/3870720],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 761/4976640],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 1391/7464960],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 6869/14929920],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1957/29859840],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 1/241920],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 89/4838400],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 1/2580480],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 1/35840],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 1/82944],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 41/552960],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 19/345600],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 1/20480],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 5/589824],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 5/774144],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 7/442368],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/19353600],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 37/276480],
[[[1, 2], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 59/1935360],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 299/1075200],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 1/155520],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 299/4147200],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/1843200],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1/5529600],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 1/3870720],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 1/1658880],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1/967680],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 29/3096576],
[[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/5529600],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 1/368640],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1/165888],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/483840],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 1/19906560],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 1/28800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 1/86400],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 5137/27648000],
[[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 31/921600],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 1/345600],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 47/129024],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 1/18432],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 691/645120],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 77/276480],
[[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 1/17280],
[[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 1/51840],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 17/46080],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 41/518400],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/115200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 31/384000],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 47/184320],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 7/172800],
[[[1, 2], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 169/261273600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 1/2764800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 289/13547520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 1/373248],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 3259/139345920],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 4453/43545600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 247/89579520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 43/116121600],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 61/20643840],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 499/77414400],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1720320],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 29/9676800],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 43/11612160],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1935360],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 1/60480],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 77/921600],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 17/2903040],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 37/4598415360],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 16169/33443020800],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 337/130636800],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 13043/551809843200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/2352],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [11, 1]], 1/12672],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [22, 1]], 1/38016],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [18, 1]], 1/93312],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1]], 1/2640],
[[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [22, 1]], 1/10560],
[[[1, 3], [2, 2], [3, 1], [4, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [11, 1], [12, 1]], 1/1584],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 13/96000],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [11, 1]], 1/16896],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [22, 1]], 3/11264],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1728],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [18, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/32256],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 1/460800],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/193536],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 1/12288],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 1/129024],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [10, 1]], 1/276480],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/73728],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 1/1584],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [22, 1]], 1/2640],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [18, 1]], 1/6480],
[[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/3150],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [22, 1]], 1/5280],
[[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 2], [3, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 1/72000],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 1/43200],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 5/9504],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [22, 1]], 1/6336],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 1/6912],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [18, 1]], 1/15552],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 5/31104],
[[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/35840],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 1/115200],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/5184],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 5/10368],
[[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 1/248832],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 7/110592],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 5/82944],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 73/90720],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/19440],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 1/4200],
[[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 1/5400],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/86400],
[[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 1/1512],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 1/15552],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [14, 1]], 1/15120],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/20736],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 19/31104],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 1/30240],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 1/18144],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/2592],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 13/345600],
[[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 1/48384],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/10368],
[[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 1/10368],
[[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 5/55296],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/45360],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3888],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/36288],
[[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 5/20736],
[[[1, 3], [2, 2], [3, 3], [6, 1], [10, 1], [14, 1]], 1/30240],
[[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 5/23328],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [10, 1]], 7/466560],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 7/279936],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [11, 1]], 1/5280],
[[[1, 3], [2, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 1/2400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/6400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2400],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [11, 1]], 1/4224],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 9/17920],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 3/11200],
[[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/2240],
[[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/11200],
[[[1, 3], [2, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/276480],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 3], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [14, 1]], 1/241920],
[[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 7/77760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/46080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 7/19200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 7/115200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 1/115200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 43/101376],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 169/152064],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 19/55296],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 13/69120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 61/145152],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 97/124416],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 31/746496],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 31/1866240],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 139/746496],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 43/921600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 29/55296],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 173/921600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 167/387072],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 23/55296],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 167/829440],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 5/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 11/115200],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/7168],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 5/193536],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 13/110592],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 13/138240],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 3/10240],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/61440],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 17/442368],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 7/552960],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 31/110592],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 37/28800],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 53/129600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 11/230400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 71/144000],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 49/230400],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 19/96768],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 5/13824],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 13/25920],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 17/103680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/483840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 7/103680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 13/345600],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 41/345600],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 25/48384],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 101/145152],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 7/62208],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 5/7776],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 137/311040],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 13/13824],
[[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 7/82944],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 7/51840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 97/552960],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 1/46080],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 31/387072],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 13/55296],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 89/165888],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 49/276480],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 15/8192],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 7/138240],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 53/165888],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 13/18432],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1/7776],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 11/69120],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 137/129600],
[[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 7/138240],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 7/41472],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 49/138240],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 7/103680],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 1/414720],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 47/248832],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 7/41472],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 167/248832],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/207360],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/27648],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 67/331776],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 23/48000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 7/17280],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 7/57600],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 3/35840],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 37/67200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/40320],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 29/22400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2304],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 1/7200],
[[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 5/41472],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 43/967680],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 11/41472],
[[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 5/24192],
[[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [18, 1]], 5/10368],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 1/51840],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 23/53760],
[[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 17/61440],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 7/10240],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 17/21504],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 139/322560],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 1/5120],
[[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 5/13824],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 23/92160],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 127/691200],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1200],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/3600],
[[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6048],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 19/103680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 19/207360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/460800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 1/1382400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 59/442368],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 5567/5529600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 5/193536],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 293/184320],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 1081/1658880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 125/186624],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 4351/3732480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 6223/19906560],
[[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 191/2419200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 29/230400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/115200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 1/43008],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 4117/7741440],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 173/221184],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 91/122880],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 143/276480],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 13/184320],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 1/61440],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 553/1769472],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 7/43200],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 259/737280],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/201600],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1049/1382400],
[[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 31/691200],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 59/483840],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 5077/6451200],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 19/69120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 371/4147200],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 7/1843200],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 31/3870720],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 121/4976640],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 17/362880],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 1/62208],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 217/829440],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 175/221184],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 437/2211840],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 1/276480],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 35/663552],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 7/138240],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 29/331776],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 59/829440],
[[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 11/345600],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 13/8294400],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1/82944],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 83/9953280],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 1/107520],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1411/1843200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 83/307200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 31/345600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1152],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 7/41472],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 1621/967680],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 253/414720],
[[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 5/24192],
[[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 23/46080],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 7/34560],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 7/61440],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 19/30720],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 41/46080],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 17/1451520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1/102400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 1/3870720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 127/552960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 157/7464960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 1189/4976640],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 5387/6967296],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 169/4354560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 59/6451200],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 59/25804800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 5303/61931520],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 13561/77414400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 257/15482880],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 1121/19353600],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 653/19353600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 1/8294400],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 5/1032192],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 457/29030400],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 11/9953280],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/115200],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 517/2304000],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 109/307200],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 7/172800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 421/1741824000],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 66817/6688604160],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 91223/2090188800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 10399/16721510400],
[[[1, 3], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 3], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 1/1760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/2400],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 1/4224],
[[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1]], 1/7920],
[[[1, 4], [2, 1], [3, 1], [4, 1], [11, 1], [12, 1]], 1/4752],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/19200],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/19200],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [11, 1]], 1/101376],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 31/483840],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 1/207360],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304],
[[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 1/147456],
[[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/73728],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [11, 1]], 1/1056],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1260],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/1120],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1]], 1/9504],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [22, 1]], 1/25344],
[[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [18, 1]], 1/62208],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/115200],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 1/14400],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [11, 1]], 1/38016],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [22, 1]], 1/12672],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [18, 1]], 1/31104],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/17920],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 1/41472],
[[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4096],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/4536],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3]], 1/17280],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/4320],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/5376],
[[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 1/30240],
[[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1/18144],
[[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 4], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/7776],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/48384],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 5/248832],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 1/6912],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/36864],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/2016],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/2592],
[[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 1/36288],
[[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 1/15552],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [10, 1]], 7/388800],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 7/233280],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/93312],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 1/10368],
[[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/34560],
[[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [8, 1]], 7/466560],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 7/746496],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 1/31104],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/10560],
[[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/33600],
[[[1, 4], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 3/17920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/2304],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 41/345600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1/6400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 23/48000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 1/7200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 169/152064],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [22, 1]], 43/101376],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 13/345600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 47/248832],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 1/2016],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 139/322560],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 1/5120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 173/921600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 29/55296],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 43/921600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 31/387072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 13/55296],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 1/207360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 67/331776],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 17/21504],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 1/2016],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 1/2592],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/23040],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/2560],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 127/691200],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 5/193536],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/7168],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 53/165888],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 7/138240],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 13/18432],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 23/92160],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 7/552960],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 17/442368],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/61440],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 31/110592],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 71/144000],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/13440],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 1/1200],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 19/103680],
[[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1/3600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 49/230400],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 37/28800],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 11/230400],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 7/41472],
[[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 1/7776],
[[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/4608],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 43/967680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 11/41472],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 13/69120],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 19/55296],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 7/115200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 101/145152],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 7/62208],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 25/48384],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 7/41472],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 7/103680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 167/248832],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 5/24192],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 5/41472],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 7/17280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 5/10368],
[[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 49/276480],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 17/61440],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 167/387072],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 89/165888],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 97/552960],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 15/8192],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 5/13824],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 13/138240],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 13/110592],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 13/25920],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 49/138240],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 137/129600],
[[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 19/96768],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 5/13824],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 11/69120],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 137/311040],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 7/57600],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1/51840],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 61/145152],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 97/124416],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 5/7776],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 17/103680],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 13/13824],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 167/829440],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 23/55296],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 5/6144],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 53/129600],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 31/1866240],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 31/746496],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 7/77760],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 139/746496],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/13440],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 7/51840],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 23/53760],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 29/22400],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 37/67200],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/6400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 7/19200],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/193536],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [18, 1]], 7/82944],
[[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [18, 1]], 7/103680],
[[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/31104],
[[[1, 4], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 1/414720],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 3/35840],
[[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/20480],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 7/10240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 3/10240],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 11/115200],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 7/138240],
[[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 23/69120],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 709/9676800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 421/4147200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 631/2764800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 91/221184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 2279/2764800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 1/8064],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 55/43008],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 425/497664],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 211/497664],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 977/2488320],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 151/331776],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 5/64512],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 1/48384],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 11/82944],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 7/34560],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 31/161280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 7/15360],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 13/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 265/516096],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 5/41472],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 403/387072],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 329/221184],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 91/92160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 209/165888],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 13/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 49/138240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 5995/5308416],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 13/27648],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 163/147456],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 277/3870720],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 1/51840],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 53/46080],
[[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 17/69120],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 17/107520],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 5/62208],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 271/580608],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 19/155520],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 13/46080],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 337/552960],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/30720],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 181/1161216],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 169/497664],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/15552],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 65/55296],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 397/276480],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 15769/19906560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 161/1105920],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 205/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 7/15360],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 329/414720],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 797/2073600],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 7/69120],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 43/622080],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 121/995328],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 7/41472],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 53/442368],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 29/322560],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 17/40320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 17/51840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 11/46080],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1949/2764800],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 79/102400],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 185/387072],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 37/165888],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 533/967680],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 179/414720],
[[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 5/24192],
[[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 5/31104],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 3/10240],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 37/61440],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 553/460800],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 43/61440],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 5/13824],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 23/69120],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 211/1382400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 7/1382400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 13/138240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 53/3870720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 1/55296],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 65/86016],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 5261/6635520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 13921/8294400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 619/3317760],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 19/307200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 1021/11059200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 1171/1769472],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 10253/11059200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1271/6635520],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 169/512000],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1091/9676800],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 1/110592],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 97/1105920],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 517/4838400],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 5/248832],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 17/184320],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 2423/2764800],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 1687/2764800],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 7/69120],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 83/19353600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 29891/371589120],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 29539/116121600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 2459/371589120],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 7/57600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/23040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 11/38400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 13/28800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/4320],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 395/608256],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [22, 1]], 1/50688],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 1/55296],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [18, 1]], 1/124416],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 1/497664],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 1/1512],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 29/35840],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 47/921600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 7/73728],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/12960],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [18, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 11/16128],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 5/24192],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [14, 1]], 1/53760],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/241920],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/110592],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 1/92160],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 7/73728],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 349/1658880],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/22680],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/38880],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/1050],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 5/27648],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 7/9600],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/241920],
[[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 29/32256],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 23/34560],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 161/345600],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 1/115200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/48384],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 1/48384],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 5/62208],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 23/32256],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 5/36864],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 161/921600],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 5/129024],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 7/165888],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 209/331776],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 11/55296],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 5/3024],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 7/9720],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 7/41472],
[[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/34560],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 89/518400],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 11/77760],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 25/48384],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 193/497664],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 19/55296],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 41/414720],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 17/165888],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 67/221184],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 71/622080],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 223/933120],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 157/746496],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 7/233280],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 191/1119744],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 11/17920],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 7/115200],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/19200],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/82944],
[[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/9676800],
[[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/2073600],
[[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/17920],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 19/153600],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 5], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 7/41472],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 533/967680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 179/414720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 2279/2764800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 91/221184],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 631/2764800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 1/15552],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 181/1161216],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 169/497664],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 121/995328],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 43/622080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 53/442368],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 185/387072],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 17/40320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 5/24192],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 37/165888],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 17/51840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 5/31104],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 29/322560],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 7/15360],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 43/61440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 553/460800],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 403/387072],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 265/516096],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 5/41472],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 205/331776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 161/1105920],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 329/414720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 37/61440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 5/13824],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 13/27648],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 5995/5308416],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 49/138240],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 163/147456],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 271/580608],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 19/155520],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 7/69120],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 797/2073600],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 23/69120],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 17/107520],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 5/62208],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 277/3870720],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 397/276480],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 3/10240],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1949/2764800],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 55/43008],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 425/497664],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 65/55296],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 337/552960],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 15769/19906560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 11/46080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 91/92160],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 329/221184],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 7/15360],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 209/165888],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 13/46080],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 53/46080],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 977/2488320],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 211/497664],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 23/69120],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 151/331776],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 31/161280],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 7/34560],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/12288],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 79/102400],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 5/64512],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 11/82944],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 709/9676800],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 421/4147200],
[[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 1/48384],
[[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/20736],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 13/23040],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 13/23040],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 17/69120],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 469/829440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 7/61440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 641/1382400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 593/2419200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 5/41472],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 331/414720],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 85/497664],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 6107/6635520],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 19/17280],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 269/829440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 1507/2211840],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 45797/26542080],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 1031/737280],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 6793/11059200],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/20480],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 13/16200],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 61/460800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 361/1382400],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 203/442368],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 79/153600],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 1517/9953280],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 7/24576],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 23/20480],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 19/40960],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 959/16588800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 2033/6881280],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 4519/7257600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 547/15925248],
[[[1, 5], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/10080],
[[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/17280],
[[[1, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 11/57600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 1/36000],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 1/21600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1]], 1/38016],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [22, 1]], 1/1013760],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [18, 1]], 1/2488320],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/6048],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 1/21504],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/184320],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 1/3317760],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 5/64512],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/92160],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 1/43200],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 43/71680],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 1/5120],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/3584],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/28800],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1/9216],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 7/259200],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 7/155520],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1/15360],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 1/61440],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 1/497664],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 1/55296],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 11/17920],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 7/311040],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 29/207360],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 19/777600],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 19/466560],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/62208],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 7/276480],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 19/933120],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 7/1866240],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 7/373248],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 17/497664],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 13/107520],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/144000],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/86400],
[[[1, 6], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/172800],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 1621/967680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 253/414720],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 5567/5529600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 59/442368],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 17/362880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 31/3870720],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 121/4976640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/82944],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 13/8294400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 83/9953280],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1152],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1/4032],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 5/24192],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 7/41472],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 7/138240],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 41/46080],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 19/30720],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 4117/7741440],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/43008],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 35/663552],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 1/276480],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 29/331776],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 7/61440],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 7/43200],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 553/1769472],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 1/61440],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 259/737280],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 5077/6451200],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 11/345600],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 59/829440],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 59/483840],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/201600],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 175/221184],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 23/46080],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1411/1843200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 7/34560],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 293/184320],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 1081/1658880],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 5/193536],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 217/829440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 371/4147200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 437/2211840],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 91/122880],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 173/221184],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 29/230400],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 143/276480],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 19/69120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1049/1382400],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 4351/3732480],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 125/186624],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 19/207360],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 6223/19906560],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 191/2419200],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 7/1843200],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 83/307200],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 31/345600],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/55296],
[[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/460800],
[[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/1382400],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 13/184320],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1/30720],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 31/691200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 79/153600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 19/40960],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 23/20480],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 331/414720],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 85/497664],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 593/2419200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 5/41472],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 203/442368],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 361/1382400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 1517/9953280],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 7/24576],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1031/737280],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 45797/26542080],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 1507/2211840],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 6793/11059200],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 61/460800],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 13/16200],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 19/17280],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 6107/6635520],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 469/829440],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 269/829440],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 7/30720],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 641/1382400],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 7/61440],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 8459/27648000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 635/1179648],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 2843/4300800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 32723/398131200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 691/645120],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 77/276480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1703/5529600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 31/2211840],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/9216000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/967680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/3870720],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/1658880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/19906560],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 47/129024],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 1/17280],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1/18432],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 1/86400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 1/51840],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 47/184320],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 31/384000],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 7/172800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 1/35840],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 1/82944],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 1/2580480],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/368640],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 1/5529600],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/165888],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 1/115200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 5/774144],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 5/589824],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 7/442368],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 299/1075200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 1/155520],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1/483840],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/276480],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 59/1935360],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 1/103680],
[[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1]], 1/19353600],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 1/46080],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 17/46080],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 5137/27648000],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 41/518400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1727/3870720],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 761/4976640],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 1/1843200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 29/3096576],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 19/345600],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 41/552960],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 1/20480],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 299/4147200],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 37/276480],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 6869/14929920],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 1391/7464960],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 43/3110400],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 1957/29859840],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 89/4838400],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5529600],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 31/921600],
[[[1, 7], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/345600],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/241920],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 7], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 517/4838400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 1687/2764800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 2423/2764800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 7/69120],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 65/86016],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 1/11520],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 53/3870720],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 1/55296],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 97/1105920],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/110592],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 5/248832],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 17/184320],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 10253/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 1171/1769472],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 1021/11059200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1271/6635520],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 1091/9676800],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 169/512000],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 13921/8294400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 5261/6635520],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 211/1382400],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 619/3317760],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 19/307200],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 13/138240],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 7/1382400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 2843/4300800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 635/1179648],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 8459/27648000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 32723/398131200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 527/3225600],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 11/276480],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/172800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/21504],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/403200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/241920],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/138240],
[[[1, 8], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/1555200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/933120],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 7/460800],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/460800],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/7741440],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2949120],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/1327104],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 191/9031680],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/483840],
[[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/1866240],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 101/1382400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 17/3628800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 17/2177280],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/138240],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 7/1244160],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 1/6635520],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 5/1548288],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 17/4354560],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 19/3732480],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 43/4976640],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 131/46448640],
[[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/691200],
[[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/921600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 457/29030400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 109/307200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 517/2304000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 7/172800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 127/552960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 157/7464960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/3870720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 5/1032192],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/8294400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 11/9953280],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 13561/77414400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 5303/61931520],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 59/25804800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 257/15482880],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 653/19353600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1121/19353600],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 5387/6967296],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1189/4976640],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 17/1451520],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 169/4354560],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 59/6451200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/102400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 4519/7257600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 2033/6881280],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 959/16588800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 547/15925248],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1935360],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 77/921600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 1/60480],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 17/2903040],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 289/13547520],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 1/373248],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 499/77414400],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 61/20643840],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1720320],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 43/11612160],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 29/9676800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 4453/43545600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 3259/139345920],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 169/261273600],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 247/89579520],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 43/116121600],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2764800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 29539/116121600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 29891/371589120],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 83/19353600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 2459/371589120],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 271/38707200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 17/108864000],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 17/65318400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1/1935360],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/7464960],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/15482880],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 17/130636800],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 17/17418240],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 169/418037760],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 1/17418240],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 91223/2090188800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 66817/6688604160],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 421/1741824000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 10399/16721510400],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 337/130636800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 16169/33443020800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 37/4598415360],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 13043/551809843200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 17/522547200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 37/7357464576],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 1/5573836800],
[[[2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/3456],
[[[2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10080],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [22, 1]], 1/4224],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [11, 1]], 1/2640],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/1584],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/3024],
[[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/1440],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/46080],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [8, 1]], 1/10080],
[[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/30240],
[[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/1008],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3888],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/10368],
[[[1, 1], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/25200],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/5400],
[[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/15120],
[[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/3240],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/4800],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/3024],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/11520],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/92160],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 5/18432],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/7560],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6300],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1344],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/3780],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3225600],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/30240],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/15360],
[[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/921600],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1843200],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/645120],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 19/12902400],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [22, 1]], 1/2640],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/6480],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [11, 1]], 1/4224],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/1584],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3888],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/8640],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/1440],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/25200],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/15120],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/5400],
[[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/3240],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/1008],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/30240],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/6480],
[[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/3024],
[[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 2], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/12960],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/24000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/3600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 11/115200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 11/14400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 29/48384],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 11/30240],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/7776],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/51840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 3/35840],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2688],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1008],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 3/10240],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1400],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/80640],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/120960],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4800],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1080],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/6048],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/2592],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 41/82944],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/115200],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4200],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/3600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/2520],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/2160],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/201600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 43/172800],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 19/96768],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 2603/1935360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/23040],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 19/34560],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/46080],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 107/691200],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 89/184320],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 29/138240],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1097/38707200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5529600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/172800],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 577/19353600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/24000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/4200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/2520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/3600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 11/115200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 11/14400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/3600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/53760],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 13/115200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 3/35840],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/92160],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 3/10240],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 19/80640],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1400],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 11/30240],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 29/48384],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/20736],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/7776],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 41/82944],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1080],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/51840],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 5/21504],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 11/32256],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 23/32256],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 757/483840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/51840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/24192],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 11/23040],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 77/69120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3072],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 89/115200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 107/92160],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 19/23040],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 19/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 209/138240],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 23/34560],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 13/28800],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 11/34560],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/41472],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 13/34560],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 23/38400],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 2009/3072000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 83/2764800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/23040],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 31/552960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 421/1843200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/6300],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/3780],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/10800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/6480],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/4800],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/322560],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/92160],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 5/18432],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/7560],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/12960],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/120960],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/25920],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/3024],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 757/483840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/51840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 13/28800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 13/34560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 23/38400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 23/32256],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/24192],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 11/32256],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 5/21504],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/41472],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 11/34560],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 19/23040],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 89/115200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 209/138240],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 19/27648],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 107/92160],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 23/34560],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 11/23040],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 77/69120],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 127/276480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 14057/5529600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 301/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/15360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 139/829440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 149/276480],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 2603/1935360],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 19/96768],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/201600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/25920],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2560],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/46080],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 89/184320],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 107/691200],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 29/138240],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/23040],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 43/172800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 19/34560],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/15360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 14057/5529600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 149/276480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 127/276480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 139/829440],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 301/1105920],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/30240],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/51840],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/322560],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/120960],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/3225600],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/921600],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 2009/3072000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 421/1843200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 31/552960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 83/2764800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/172800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1097/38707200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 577/19353600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/5529600],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/645120],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1843200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 19/12902400],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/8400],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/5040],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2880],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/840],
[[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2400],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/840],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/8400],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2400],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/14400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 11/14400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040]
]}