{[
[[[1, 24]], 1/47943914618880000],
[[[2, 24]], 1/47943914618880000],
[[[4, 12]], 1/309657600],
[[[1, 1], [2, 23]], 1/499415777280000],
[[[1, 2], [2, 22]], 83/998831554560000],
[[[1, 3], [2, 21]], 587/299649466368000],
[[[1, 4], [2, 20]], 69641/2397195730944000],
[[[1, 5], [2, 19]], 85207/299649466368000],
[[[1, 6], [2, 18]], 563869/299649466368000],
[[[1, 7], [2, 17]], 510131/59929893273600],
[[[1, 8], [2, 16]], 50614271/1917756584755200],
[[[1, 8], [5, 4]], 1/180000],
[[[1, 9], [2, 15]], 240827/4280706662400],
[[[1, 10], [2, 14]], 1467619/17122826649600],
[[[1, 11], [2, 13]], 746591/7134511104000],
[[[1, 12], [2, 12]], 45070967/399532621824000],
[[[1, 12], [3, 6]], 1/5971968],
[[[1, 12], [5, 3]], 1/26880000],
[[[1, 12], [7, 2]], 1/1445068800],
[[[1, 13], [2, 11]], 746591/7134511104000],
[[[1, 14], [2, 10]], 1467619/17122826649600],
[[[1, 14], [3, 5]], 1/26542080],
[[[1, 15], [2, 9]], 240827/4280706662400],
[[[1, 16], [2, 8]], 50614271/1917756584755200],
[[[1, 16], [3, 4]], 253/89181388800],
[[[1, 16], [4, 4]], 1/13317754060800],
[[[1, 16], [5, 2]], 109/1300561920000],
[[[1, 17], [2, 7]], 510131/59929893273600],
[[[1, 18], [2, 6]], 563869/299649466368000],
[[[1, 18], [3, 3]], 113/1337720832000],
[[[1, 18], [7, 1]], 1/4161798144000],
[[[1, 19], [2, 5]], 85207/299649466368000],
[[[1, 20], [2, 4]], 69641/2397195730944000],
[[[1, 20], [3, 2]], 11/9248440320000],
[[[1, 20], [4, 2]], 1/399532621824000],
[[[1, 20], [5, 1]], 1/13872660480000],
[[[1, 21], [2, 3]], 587/299649466368000],
[[[1, 22], [2, 2]], 83/998831554560000],
[[[1, 22], [3, 1]], 1/124853944320000],
[[[1, 23], [2, 1]], 1/499415777280000],
[[[2, 8], [10, 4]], 1/180000],
[[[2, 12], [6, 6]], 1/5971968],
[[[2, 12], [10, 3]], 1/26880000],
[[[2, 12], [14, 2]], 1/1445068800],
[[[2, 14], [6, 5]], 1/26542080],
[[[2, 16], [4, 4]], 1/13317754060800],
[[[2, 16], [6, 4]], 253/89181388800],
[[[2, 16], [10, 2]], 109/1300561920000],
[[[2, 18], [6, 3]], 113/1337720832000],
[[[2, 18], [14, 1]], 1/4161798144000],
[[[2, 20], [4, 2]], 1/399532621824000],
[[[2, 20], [6, 2]], 11/9248440320000],
[[[2, 20], [10, 1]], 1/13872660480000],
[[[2, 22], [6, 1]], 1/124853944320000],
[[[4, 4], [20, 2]], 1/600],
[[[4, 6], [12, 3]], 1/3456],
[[[4, 6], [28, 1]], 1/53760],
[[[4, 8], [8, 2]], 1/5160960],
[[[4, 8], [12, 2]], 1/30720],
[[[4, 8], [20, 1]], 1/179200],
[[[4, 10], [12, 1]], 1/1612800],
[[[1, 1], [2, 1], [4, 11]], 1/6451200],
[[[1, 1], [2, 7], [10, 4]], 1/30000],
[[[1, 1], [2, 11], [6, 6]], 1/995328],
[[[1, 1], [2, 11], [10, 3]], 61/60480000],
[[[1, 1], [2, 11], [14, 2]], 1/36126720],
[[[1, 1], [2, 13], [4, 5]], 1/15854469120],
[[[1, 1], [2, 13], [6, 5]], 1/1658880],
[[[1, 1], [2, 15], [4, 4]], 1/237817036800],
[[[1, 1], [2, 15], [6, 4]], 1171/14863564800],
[[[1, 1], [2, 15], [10, 2]], 127/30965760000],
[[[1, 1], [2, 17], [4, 3]], 19/6658877030400],
[[[1, 1], [2, 17], [6, 3]], 1633/445906944000],
[[[1, 1], [2, 17], [14, 1]], 17/1040449536000],
[[[1, 1], [2, 19], [4, 2]], 19/99883155456000],
[[[1, 1], [2, 19], [6, 2]], 239/3329438515200],
[[[1, 1], [2, 19], [8, 1]], 1/99883155456000],
[[[1, 1], [2, 19], [10, 1]], 649/124853944320000],
[[[1, 1], [2, 21], [4, 1]], 1/33294385152000],
[[[1, 1], [2, 21], [6, 1]], 13/20808990720000],
[[[1, 2], [2, 2], [4, 10]], 1/368640],
[[[1, 2], [2, 6], [10, 4]], 1/20000],
[[[1, 2], [2, 10], [4, 6]], 431/15854469120],
[[[1, 2], [2, 10], [6, 6]], 5/1990656],
[[[1, 2], [2, 10], [10, 3]], 283/34560000],
[[[1, 2], [2, 10], [14, 2]], 3/8028160],
[[[1, 2], [2, 12], [4, 5]], 17/7927234560],
[[[1, 2], [2, 12], [6, 5]], 7/2211840],
[[[1, 2], [2, 14], [4, 4]], 139/118908518400],
[[[1, 2], [2, 14], [6, 4]], 23843/29727129600],
[[[1, 2], [2, 14], [8, 2]], 1/832359628800],
[[[1, 2], [2, 14], [10, 2]], 14083/185794560000],
[[[1, 2], [2, 16], [4, 3]], 173/1109812838400],
[[[1, 2], [2, 16], [6, 3]], 27187/445906944000],
[[[1, 2], [2, 16], [14, 1]], 187/416179814400],
[[[1, 2], [2, 18], [4, 2]], 589/26635508121600],
[[[1, 2], [2, 18], [6, 2]], 4861/2774532096000],
[[[1, 2], [2, 18], [8, 1]], 19/24970788864000],
[[[1, 2], [2, 18], [10, 1]], 197/1274019840000],
[[[1, 2], [2, 20], [3, 1]], 1/149824733184000],
[[[1, 2], [2, 20], [4, 1]], 1/443925135360],
[[[1, 2], [2, 20], [6, 1]], 341/16647192576000],
[[[1, 3], [2, 3], [4, 9]], 83/3870720],
[[[1, 3], [2, 7], [4, 7]], 11/18874368],
[[[1, 3], [2, 9], [4, 6]], 191/566231040],
[[[1, 3], [2, 9], [6, 6]], 5/1492992],
[[[1, 3], [2, 9], [10, 3]], 1/36000],
[[[1, 3], [2, 9], [14, 2]], 73/36126720],
[[[1, 3], [2, 11], [4, 5]], 1619/7927234560],
[[[1, 3], [2, 11], [6, 5]], 1/122880],
[[[1, 3], [2, 13], [4, 4]], 2939/79272345600],
[[[1, 3], [2, 13], [6, 4]], 1607/412876800],
[[[1, 3], [2, 13], [8, 2]], 1/14863564800],
[[[1, 3], [2, 13], [10, 2]], 1051/1548288000],
[[[1, 3], [2, 15], [4, 3]], 14257/1997663109120],
[[[1, 3], [2, 15], [6, 3]], 136691/267544166400],
[[[1, 3], [2, 15], [14, 1]], 1343/208089907200],
[[[1, 3], [2, 17], [4, 2]], 48701/49941577728000],
[[[1, 3], [2, 17], [6, 2]], 37559/1664719257600],
[[[1, 3], [2, 17], [8, 1]], 19/792723456000],
[[[1, 3], [2, 17], [10, 1]], 127/51380224000],
[[[1, 3], [2, 19], [3, 1]], 19/37456183296000],
[[[1, 3], [2, 19], [4, 1]], 21067/299649466368000],
[[[1, 3], [2, 19], [6, 1]], 769/2080899072000],
[[[1, 4], [2, 4], [4, 8]], 324577/3963617280],
[[[1, 4], [2, 6], [4, 7]], 11/3145728],
[[[1, 4], [2, 8], [4, 6]], 229/31457280],
[[[1, 4], [2, 8], [6, 6]], 5/1990656],
[[[1, 4], [2, 8], [7, 2]], 1/57802752],
[[[1, 4], [2, 8], [10, 3]], 277/6912000],
[[[1, 4], [2, 8], [14, 2]], 731/144506880],
[[[1, 4], [2, 10], [4, 5]], 2993/1132462080],
[[[1, 4], [2, 10], [6, 5]], 1393/119439360],
[[[1, 4], [2, 12], [4, 4]], 97693/118908518400],
[[[1, 4], [2, 12], [6, 4]], 1384219/133772083200],
[[[1, 4], [2, 12], [8, 2]], 29/14863564800],
[[[1, 4], [2, 12], [10, 2]], 747/229376000],
[[[1, 4], [2, 14], [4, 3]], 233479/1426902220800],
[[[1, 4], [2, 14], [6, 3]], 319201/133772083200],
[[[1, 4], [2, 14], [14, 1]], 65/1233125376],
[[[1, 4], [2, 16], [3, 2]], 1/1872809164800],
[[[1, 4], [2, 16], [4, 2]], 1557181/79906524364800],
[[[1, 4], [2, 16], [6, 2]], 25359557/149824733184000],
[[[1, 4], [2, 16], [8, 1]], 2033/4994157772800],
[[[1, 4], [2, 16], [10, 1]], 194309/8323596288000],
[[[1, 4], [2, 18], [3, 1]], 19/1189085184000],
[[[1, 4], [2, 18], [4, 1]], 89269/74912366592000],
[[[1, 4], [2, 18], [6, 1]], 151703/37456183296000],
[[[1, 4], [3, 2], [5, 4]], 1/45000],
[[[1, 4], [4, 2], [8, 4]], 1/32768],
[[[1, 4], [4, 4], [7, 2]], 1/401408],
[[[1, 4], [5, 2], [7, 2]], 1/9800],
[[[1, 5], [2, 5], [4, 7]], 23149/141557760],
[[[1, 5], [2, 7], [4, 6]], 497/12582912],
[[[1, 5], [2, 7], [6, 6]], 1/995328],
[[[1, 5], [2, 7], [7, 2]], 1/2408448],
[[[1, 5], [2, 7], [10, 3]], 11/576000],
[[[1, 5], [2, 7], [14, 2]], 43/7225344],
[[[1, 5], [2, 9], [4, 5]], 34495/1358954496],
[[[1, 5], [2, 9], [6, 5]], 143/14929920],
[[[1, 5], [2, 11], [4, 4]], 4747/587202560],
[[[1, 5], [2, 11], [6, 4]], 42929/2675441664],
[[[1, 5], [2, 11], [8, 2]], 31/990904320],
[[[1, 5], [2, 11], [10, 2]], 26777/3096576000],
[[[1, 5], [2, 13], [4, 3]], 122851/71345111040],
[[[1, 5], [2, 13], [6, 3]], 882811/133772083200],
[[[1, 5], [2, 13], [14, 1]], 26437/104044953600],
[[[1, 5], [2, 15], [3, 2]], 1/33443020800],
[[[1, 5], [2, 15], [4, 2]], 4057937/19976631091200],
[[[1, 5], [2, 15], [6, 2]], 3322699/4280706662400],
[[[1, 5], [2, 15], [8, 1]], 1811/443925135360],
[[[1, 5], [2, 15], [10, 1]], 161867/1189085184000],
[[[1, 5], [2, 17], [3, 1]], 2033/7491236659200],
[[[1, 5], [2, 17], [4, 1]], 1205627/99883155456000],
[[[1, 5], [2, 17], [6, 1]], 151157/5350883328000],
[[[1, 6], [2, 2], [5, 4]], 1/20000],
[[[1, 6], [2, 4], [4, 7]], 11/3145728],
[[[1, 6], [2, 6], [3, 6]], 1/5971968],
[[[1, 6], [2, 6], [4, 6]], 44891/226492416],
[[[1, 6], [2, 6], [5, 3]], 1/768000],
[[[1, 6], [2, 6], [6, 6]], 1/5971968],
[[[1, 6], [2, 6], [7, 2]], 43/14450688],
[[[1, 6], [2, 6], [10, 3]], 1/768000],
[[[1, 6], [2, 6], [14, 2]], 43/14450688],
[[[1, 6], [2, 8], [3, 5]], 1/47775744],
[[[1, 6], [2, 8], [4, 5]], 4907/42467328],
[[[1, 6], [2, 8], [6, 5]], 17/3981312],
[[[1, 6], [2, 10], [3, 4]], 1/1528823808],
[[[1, 6], [2, 10], [4, 4]], 2137/49545216],
[[[1, 6], [2, 10], [5, 2]], 1/117964800],
[[[1, 6], [2, 10], [6, 4]], 3727/254803968],
[[[1, 6], [2, 10], [8, 2]], 2047/7927234560],
[[[1, 6], [2, 10], [10, 2]], 32977/2654208000],
[[[1, 6], [2, 12], [4, 3]], 1476641/158544691200],
[[[1, 6], [2, 12], [6, 3]], 1486613/133772083200],
[[[1, 6], [2, 12], [7, 1]], 101/92484403200],
[[[1, 6], [2, 12], [14, 1]], 10211/13872660480],
[[[1, 6], [2, 14], [3, 2]], 43/66886041600],
[[[1, 6], [2, 14], [4, 2]], 71409797/59929893273600],
[[[1, 6], [2, 14], [6, 2]], 159529/71345111040],
[[[1, 6], [2, 14], [8, 1]], 1781/71345111040],
[[[1, 6], [2, 14], [10, 1]], 445733/891813888000],
[[[1, 6], [2, 16], [3, 1]], 1811/665887703040],
[[[1, 6], [2, 16], [4, 1]], 4571351/59929893273600],
[[[1, 6], [2, 16], [6, 1]], 1282357/9988315545600],
[[[1, 6], [3, 1], [5, 4]], 1/45000],
[[[1, 6], [3, 3], [5, 3]], 1/36000],
[[[1, 6], [4, 3], [8, 3]], 1/196608],
[[[1, 6], [5, 3], [7, 1]], 1/21000],
[[[1, 7], [2, 1], [5, 4]], 1/30000],
[[[1, 7], [2, 3], [4, 7]], 11/18874368],
[[[1, 7], [2, 5], [3, 6]], 1/995328],
[[[1, 7], [2, 5], [4, 6]], 497/12582912],
[[[1, 7], [2, 5], [5, 3]], 11/576000],
[[[1, 7], [2, 5], [7, 2]], 43/7225344],
[[[1, 7], [2, 5], [14, 2]], 1/2408448],
[[[1, 7], [2, 7], [3, 5]], 5/5971968],
[[[1, 7], [2, 7], [4, 5]], 26951/113246208],
[[[1, 7], [2, 7], [6, 5]], 5/5971968],
[[[1, 7], [2, 9], [3, 4]], 85/764411904],
[[[1, 7], [2, 9], [4, 4]], 96139973/713451110400],
[[[1, 7], [2, 9], [5, 2]], 49/176947200],
[[[1, 7], [2, 9], [6, 4]], 7109/955514880],
[[[1, 7], [2, 9], [8, 2]], 7351/7431782400],
[[[1, 7], [2, 9], [10, 2]], 131/14745600],
[[[1, 7], [2, 11], [3, 3]], 1/169869312],
[[[1, 7], [2, 11], [4, 3]], 43401997/1426902220800],
[[[1, 7], [2, 11], [6, 3]], 303311/26754416640],
[[[1, 7], [2, 11], [7, 1]], 101/3303014400],
[[[1, 7], [2, 11], [14, 1]], 26519/20808990720],
[[[1, 7], [2, 13], [3, 2]], 3301/475634073600],
[[[1, 7], [2, 13], [4, 2]], 35895607/8561413324800],
[[[1, 7], [2, 13], [5, 1]], 101/132120576000],
[[[1, 7], [2, 13], [6, 2]], 124817/30576476160],
[[[1, 7], [2, 13], [8, 1]], 270619/2853804441600],
[[[1, 7], [2, 13], [10, 1]], 206053/178362777600],
[[[1, 7], [2, 15], [3, 1]], 1781/107017666560],
[[[1, 7], [2, 15], [4, 1]], 34099/110981283840],
[[[1, 7], [2, 15], [6, 1]], 102817/267544166400],
[[[1, 8], [2, 4], [3, 6]], 5/1990656],
[[[1, 8], [2, 4], [4, 6]], 229/31457280],
[[[1, 8], [2, 4], [5, 3]], 277/6912000],
[[[1, 8], [2, 4], [7, 2]], 731/144506880],
[[[1, 8], [2, 4], [14, 2]], 1/57802752],
[[[1, 8], [2, 6], [3, 5]], 17/3981312],
[[[1, 8], [2, 6], [4, 5]], 4907/42467328],
[[[1, 8], [2, 6], [6, 5]], 1/47775744],
[[[1, 8], [2, 8], [3, 4]], 911/509607936],
[[[1, 8], [2, 8], [4, 4]], 4282673053/19976631091200],
[[[1, 8], [2, 8], [5, 2]], 581/212336640],
[[[1, 8], [2, 8], [6, 4]], 911/509607936],
[[[1, 8], [2, 8], [8, 2]], 2267/1300561920],
[[[1, 8], [2, 8], [10, 2]], 581/212336640],
[[[1, 8], [2, 10], [3, 3]], 335/1528823808],
[[[1, 8], [2, 10], [4, 3]], 102126637/1426902220800],
[[[1, 8], [2, 10], [6, 3]], 10207/1528823808],
[[[1, 8], [2, 10], [7, 1]], 353/1321205760],
[[[1, 8], [2, 10], [14, 1]], 220039/166471925760],
[[[1, 8], [2, 12], [3, 2]], 73067/1426902220800],
[[[1, 8], [2, 12], [4, 2]], 34221371/3424565329920],
[[[1, 8], [2, 12], [5, 1]], 1313/56623104000],
[[[1, 8], [2, 12], [6, 2]], 2874469/611529523200],
[[[1, 8], [2, 12], [8, 1]], 317/1358954496],
[[[1, 8], [2, 12], [10, 1]], 1184353/713451110400],
[[[1, 8], [2, 14], [3, 1]], 270619/4280706662400],
[[[1, 8], [2, 14], [4, 1]], 6929579/8561413324800],
[[[1, 8], [2, 14], [6, 1]], 4811/6341787648],
[[[1, 8], [3, 2], [5, 3]], 59/2880000],
[[[1, 8], [3, 2], [7, 2]], 1/225792],
[[[1, 8], [3, 4], [4, 4]], 1/10616832],
[[[1, 8], [3, 4], [5, 2]], 13/1036800],
[[[1, 8], [4, 2], [5, 3]], 1/576000],
[[[1, 8], [4, 2], [7, 2]], 1/12042240],
[[[1, 8], [4, 4], [5, 2]], 1/7372800],
[[[1, 8], [4, 4], [8, 2]], 109/495452160],
[[[1, 8], [5, 1], [7, 2]], 1/1881600],
[[[1, 9], [2, 3], [3, 6]], 5/1492992],
[[[1, 9], [2, 3], [4, 6]], 191/566231040],
[[[1, 9], [2, 3], [5, 3]], 1/36000],
[[[1, 9], [2, 3], [7, 2]], 73/36126720],
[[[1, 9], [2, 5], [3, 5]], 143/14929920],
[[[1, 9], [2, 5], [4, 5]], 34495/1358954496],
[[[1, 9], [2, 7], [3, 4]], 7109/955514880],
[[[1, 9], [2, 7], [4, 4]], 96139973/713451110400],
[[[1, 9], [2, 7], [5, 2]], 131/14745600],
[[[1, 9], [2, 7], [6, 4]], 85/764411904],
[[[1, 9], [2, 7], [8, 2]], 7351/7431782400],
[[[1, 9], [2, 7], [10, 2]], 49/176947200],
[[[1, 9], [2, 9], [3, 3]], 15281/7644119040],
[[[1, 9], [2, 9], [4, 3]], 337162037/3329438515200],
[[[1, 9], [2, 9], [6, 3]], 15281/7644119040],
[[[1, 9], [2, 9], [7, 1]], 5203/5945425920],
[[[1, 9], [2, 9], [14, 1]], 5203/5945425920],
[[[1, 9], [2, 11], [3, 2]], 32621/101921587200],
[[[1, 9], [2, 11], [4, 2]], 52967053/2853804441600],
[[[1, 9], [2, 11], [5, 1]], 44539/198180864000],
[[[1, 9], [2, 11], [6, 2]], 190165/57076088832],
[[[1, 9], [2, 11], [8, 1]], 73669/190253629440],
[[[1, 9], [2, 11], [10, 1]], 213629/142690222080],
[[[1, 9], [2, 13], [3, 1]], 56687/356725555200],
[[[1, 9], [2, 13], [4, 1]], 6466577/4280706662400],
[[[1, 9], [2, 13], [6, 1]], 16687/16721510400],
[[[1, 10], [2, 2], [3, 6]], 5/1990656],
[[[1, 10], [2, 2], [4, 6]], 431/15854469120],
[[[1, 10], [2, 2], [5, 3]], 283/34560000],
[[[1, 10], [2, 2], [7, 2]], 3/8028160],
[[[1, 10], [2, 4], [3, 5]], 1393/119439360],
[[[1, 10], [2, 4], [4, 5]], 2993/1132462080],
[[[1, 10], [2, 6], [3, 4]], 3727/254803968],
[[[1, 10], [2, 6], [4, 4]], 2137/49545216],
[[[1, 10], [2, 6], [5, 2]], 32977/2654208000],
[[[1, 10], [2, 6], [6, 4]], 1/1528823808],
[[[1, 10], [2, 6], [8, 2]], 2047/7927234560],
[[[1, 10], [2, 6], [10, 2]], 1/117964800],
[[[1, 10], [2, 8], [3, 3]], 10207/1528823808],
[[[1, 10], [2, 8], [4, 3]], 102126637/1426902220800],
[[[1, 10], [2, 8], [6, 3]], 335/1528823808],
[[[1, 10], [2, 8], [7, 1]], 220039/166471925760],
[[[1, 10], [2, 8], [14, 1]], 353/1321205760],
[[[1, 10], [2, 10], [3, 2]], 198323/142690222080],
[[[1, 10], [2, 10], [4, 2]], 136981211/5707608883200],
[[[1, 10], [2, 10], [5, 1]], 14183/16986931200],
[[[1, 10], [2, 10], [6, 2]], 198323/142690222080],
[[[1, 10], [2, 10], [8, 1]], 10931/23781703680],
[[[1, 10], [2, 10], [10, 1]], 14183/16986931200],
[[[1, 10], [2, 12], [3, 1]], 2295619/7134511104000],
[[[1, 10], [2, 12], [4, 1]], 926827/407686348800],
[[[1, 10], [2, 12], [6, 1]], 3894719/4280706662400],
[[[1, 10], [3, 1], [5, 3]], 17/5040000],
[[[1, 10], [3, 1], [7, 2]], 1/9031680],
[[[1, 10], [3, 3], [4, 4]], 1/53084160],
[[[1, 10], [3, 3], [5, 2]], 269/41472000],
[[[1, 10], [3, 4], [7, 1]], 1/580608],
[[[1, 10], [3, 5], [4, 2]], 1/3981312],
[[[1, 10], [3, 5], [5, 1]], 1/414720],
[[[1, 10], [4, 4], [7, 1]], 1/1156055040],
[[[1, 10], [5, 2], [7, 1]], 1/3528000],
[[[1, 11], [2, 1], [3, 6]], 1/995328],
[[[1, 11], [2, 1], [5, 3]], 61/60480000],
[[[1, 11], [2, 1], [7, 2]], 1/36126720],
[[[1, 11], [2, 3], [3, 5]], 1/122880],
[[[1, 11], [2, 3], [4, 5]], 1619/7927234560],
[[[1, 11], [2, 5], [3, 4]], 42929/2675441664],
[[[1, 11], [2, 5], [4, 4]], 4747/587202560],
[[[1, 11], [2, 5], [5, 2]], 26777/3096576000],
[[[1, 11], [2, 5], [8, 2]], 31/990904320],
[[[1, 11], [2, 7], [3, 3]], 303311/26754416640],
[[[1, 11], [2, 7], [4, 3]], 43401997/1426902220800],
[[[1, 11], [2, 7], [6, 3]], 1/169869312],
[[[1, 11], [2, 7], [7, 1]], 26519/20808990720],
[[[1, 11], [2, 7], [14, 1]], 101/3303014400],
[[[1, 11], [2, 9], [3, 2]], 190165/57076088832],
[[[1, 11], [2, 9], [4, 2]], 52967053/2853804441600],
[[[1, 11], [2, 9], [5, 1]], 213629/142690222080],
[[[1, 11], [2, 9], [6, 2]], 32621/101921587200],
[[[1, 11], [2, 9], [8, 1]], 73669/190253629440],
[[[1, 11], [2, 9], [10, 1]], 44539/198180864000],
[[[1, 11], [2, 11], [3, 1]], 1089173/1783627776000],
[[[1, 11], [2, 11], [4, 1]], 135000827/49941577728000],
[[[1, 11], [2, 11], [6, 1]], 1089173/1783627776000],
[[[1, 12], [2, 2], [3, 5]], 7/2211840],
[[[1, 12], [2, 2], [4, 5]], 17/7927234560],
[[[1, 12], [2, 4], [3, 4]], 1384219/133772083200],
[[[1, 12], [2, 4], [4, 4]], 97693/118908518400],
[[[1, 12], [2, 4], [5, 2]], 747/229376000],
[[[1, 12], [2, 4], [8, 2]], 29/14863564800],
[[[1, 12], [2, 6], [3, 3]], 1486613/133772083200],
[[[1, 12], [2, 6], [4, 3]], 1476641/158544691200],
[[[1, 12], [2, 6], [7, 1]], 10211/13872660480],
[[[1, 12], [2, 6], [14, 1]], 101/92484403200],
[[[1, 12], [2, 8], [3, 2]], 2874469/611529523200],
[[[1, 12], [2, 8], [4, 2]], 34221371/3424565329920],
[[[1, 12], [2, 8], [5, 1]], 1184353/713451110400],
[[[1, 12], [2, 8], [6, 2]], 73067/1426902220800],
[[[1, 12], [2, 8], [8, 1]], 317/1358954496],
[[[1, 12], [2, 8], [10, 1]], 1313/56623104000],
[[[1, 12], [2, 10], [3, 1]], 3894719/4280706662400],
[[[1, 12], [2, 10], [4, 1]], 926827/407686348800],
[[[1, 12], [2, 10], [6, 1]], 2295619/7134511104000],
[[[1, 12], [3, 2], [4, 4]], 11/9909043200],
[[[1, 12], [3, 2], [5, 2]], 11789/15482880000],
[[[1, 12], [3, 3], [7, 1]], 1/4644864],
[[[1, 12], [3, 4], [4, 2]], 17/318504960],
[[[1, 12], [3, 4], [5, 1]], 7/8294400],
[[[1, 12], [4, 2], [5, 2]], 11/1548288000],
[[[1, 12], [4, 4], [5, 1]], 1/4954521600],
[[[1, 13], [2, 1], [3, 5]], 1/1658880],
[[[1, 13], [2, 1], [4, 5]], 1/15854469120],
[[[1, 13], [2, 3], [3, 4]], 1607/412876800],
[[[1, 13], [2, 3], [4, 4]], 2939/79272345600],
[[[1, 13], [2, 3], [5, 2]], 1051/1548288000],
[[[1, 13], [2, 3], [8, 2]], 1/14863564800],
[[[1, 13], [2, 5], [3, 3]], 882811/133772083200],
[[[1, 13], [2, 5], [4, 3]], 122851/71345111040],
[[[1, 13], [2, 5], [7, 1]], 26437/104044953600],
[[[1, 13], [2, 7], [3, 2]], 124817/30576476160],
[[[1, 13], [2, 7], [4, 2]], 35895607/8561413324800],
[[[1, 13], [2, 7], [5, 1]], 206053/178362777600],
[[[1, 13], [2, 7], [6, 2]], 3301/475634073600],
[[[1, 13], [2, 7], [8, 1]], 270619/2853804441600],
[[[1, 13], [2, 7], [10, 1]], 101/132120576000],
[[[1, 13], [2, 9], [3, 1]], 16687/16721510400],
[[[1, 13], [2, 9], [4, 1]], 6466577/4280706662400],
[[[1, 13], [2, 9], [6, 1]], 56687/356725555200],
[[[1, 14], [2, 2], [3, 4]], 23843/29727129600],
[[[1, 14], [2, 2], [4, 4]], 139/118908518400],
[[[1, 14], [2, 2], [5, 2]], 14083/185794560000],
[[[1, 14], [2, 2], [8, 2]], 1/832359628800],
[[[1, 14], [2, 4], [3, 3]], 319201/133772083200],
[[[1, 14], [2, 4], [4, 3]], 233479/1426902220800],
[[[1, 14], [2, 4], [7, 1]], 65/1233125376],
[[[1, 14], [2, 6], [3, 2]], 159529/71345111040],
[[[1, 14], [2, 6], [4, 2]], 71409797/59929893273600],
[[[1, 14], [2, 6], [5, 1]], 445733/891813888000],
[[[1, 14], [2, 6], [6, 2]], 43/66886041600],
[[[1, 14], [2, 6], [8, 1]], 1781/71345111040],
[[[1, 14], [2, 8], [3, 1]], 4811/6341787648],
[[[1, 14], [2, 8], [4, 1]], 6929579/8561413324800],
[[[1, 14], [2, 8], [6, 1]], 270619/4280706662400],
[[[1, 14], [3, 1], [4, 4]], 1/59454259200],
[[[1, 14], [3, 1], [5, 2]], 101/6635520000],
[[[1, 14], [3, 2], [7, 1]], 53/8670412800],
[[[1, 14], [3, 3], [4, 2]], 1/278691840],
[[[1, 14], [3, 3], [5, 1]], 157/2064384000],
[[[1, 14], [4, 2], [7, 1]], 1/34681651200],
[[[1, 14], [5, 1], [7, 1]], 11/21676032000],
[[[1, 15], [2, 1], [3, 4]], 1171/14863564800],
[[[1, 15], [2, 1], [4, 4]], 1/237817036800],
[[[1, 15], [2, 1], [5, 2]], 127/30965760000],
[[[1, 15], [2, 3], [3, 3]], 136691/267544166400],
[[[1, 15], [2, 3], [4, 3]], 14257/1997663109120],
[[[1, 15], [2, 3], [7, 1]], 1343/208089907200],
[[[1, 15], [2, 5], [3, 2]], 3322699/4280706662400],
[[[1, 15], [2, 5], [4, 2]], 4057937/19976631091200],
[[[1, 15], [2, 5], [5, 1]], 161867/1189085184000],
[[[1, 15], [2, 5], [6, 2]], 1/33443020800],
[[[1, 15], [2, 5], [8, 1]], 1811/443925135360],
[[[1, 15], [2, 7], [3, 1]], 102817/267544166400],
[[[1, 15], [2, 7], [4, 1]], 34099/110981283840],
[[[1, 15], [2, 7], [6, 1]], 1781/107017666560],
[[[1, 16], [2, 2], [3, 3]], 27187/445906944000],
[[[1, 16], [2, 2], [4, 3]], 173/1109812838400],
[[[1, 16], [2, 2], [7, 1]], 187/416179814400],
[[[1, 16], [2, 4], [3, 2]], 25359557/149824733184000],
[[[1, 16], [2, 4], [4, 2]], 1557181/79906524364800],
[[[1, 16], [2, 4], [5, 1]], 194309/8323596288000],
[[[1, 16], [2, 4], [6, 2]], 1/1872809164800],
[[[1, 16], [2, 4], [8, 1]], 2033/4994157772800],
[[[1, 16], [2, 6], [3, 1]], 1282357/9988315545600],
[[[1, 16], [2, 6], [4, 1]], 4571351/59929893273600],
[[[1, 16], [2, 6], [6, 1]], 1811/665887703040],
[[[1, 16], [3, 1], [7, 1]], 17/260112384000],
[[[1, 16], [3, 2], [4, 2]], 73/891813888000],
[[[1, 16], [3, 2], [5, 1]], 23/11612160000],
[[[1, 16], [4, 2], [5, 1]], 1/130056192000],
[[[1, 17], [2, 1], [3, 3]], 1633/445906944000],
[[[1, 17], [2, 1], [4, 3]], 19/6658877030400],
[[[1, 17], [2, 1], [7, 1]], 17/1040449536000],
[[[1, 17], [2, 3], [3, 2]], 37559/1664719257600],
[[[1, 17], [2, 3], [4, 2]], 48701/49941577728000],
[[[1, 17], [2, 3], [5, 1]], 127/51380224000],
[[[1, 17], [2, 3], [8, 1]], 19/792723456000],
[[[1, 17], [2, 5], [3, 1]], 151157/5350883328000],
[[[1, 17], [2, 5], [4, 1]], 1205627/99883155456000],
[[[1, 17], [2, 5], [6, 1]], 2033/7491236659200],
[[[1, 18], [2, 2], [3, 2]], 4861/2774532096000],
[[[1, 18], [2, 2], [4, 2]], 589/26635508121600],
[[[1, 18], [2, 2], [5, 1]], 197/1274019840000],
[[[1, 18], [2, 2], [8, 1]], 19/24970788864000],
[[[1, 18], [2, 4], [3, 1]], 151703/37456183296000],
[[[1, 18], [2, 4], [4, 1]], 89269/74912366592000],
[[[1, 18], [2, 4], [6, 1]], 19/1189085184000],
[[[1, 18], [3, 1], [4, 2]], 19/24970788864000],
[[[1, 18], [3, 1], [5, 1]], 421/20808990720000],
[[[1, 19], [2, 1], [3, 2]], 239/3329438515200],
[[[1, 19], [2, 1], [4, 2]], 19/99883155456000],
[[[1, 19], [2, 1], [5, 1]], 649/124853944320000],
[[[1, 19], [2, 1], [8, 1]], 1/99883155456000],
[[[1, 19], [2, 3], [3, 1]], 769/2080899072000],
[[[1, 19], [2, 3], [4, 1]], 21067/299649466368000],
[[[1, 19], [2, 3], [6, 1]], 19/37456183296000],
[[[1, 20], [2, 2], [3, 1]], 341/16647192576000],
[[[1, 20], [2, 2], [4, 1]], 1/443925135360],
[[[1, 20], [2, 2], [6, 1]], 1/149824733184000],
[[[1, 21], [2, 1], [3, 1]], 13/20808990720000],
[[[1, 21], [2, 1], [4, 1]], 1/33294385152000],
[[[2, 4], [4, 2], [8, 4]], 1/32768],
[[[2, 4], [4, 4], [14, 2]], 1/401408],
[[[2, 4], [6, 2], [10, 4]], 1/45000],
[[[2, 4], [10, 2], [14, 2]], 1/9800],
[[[2, 6], [4, 3], [8, 3]], 1/196608],
[[[2, 6], [6, 1], [10, 4]], 1/45000],
[[[2, 6], [6, 3], [10, 3]], 1/36000],
[[[2, 6], [10, 3], [14, 1]], 1/21000],
[[[2, 8], [4, 2], [10, 3]], 1/576000],
[[[2, 8], [4, 2], [14, 2]], 1/12042240],
[[[2, 8], [4, 4], [6, 4]], 1/10616832],
[[[2, 8], [4, 4], [8, 2]], 109/495452160],
[[[2, 8], [4, 4], [10, 2]], 1/7372800],
[[[2, 8], [6, 2], [10, 3]], 59/2880000],
[[[2, 8], [6, 2], [14, 2]], 1/225792],
[[[2, 8], [6, 4], [10, 2]], 13/1036800],
[[[2, 8], [10, 1], [14, 2]], 1/1881600],
[[[2, 10], [4, 2], [6, 5]], 1/3981312],
[[[2, 10], [4, 4], [6, 3]], 1/53084160],
[[[2, 10], [4, 4], [14, 1]], 1/1156055040],
[[[2, 10], [6, 1], [10, 3]], 17/5040000],
[[[2, 10], [6, 1], [14, 2]], 1/9031680],
[[[2, 10], [6, 3], [10, 2]], 269/41472000],
[[[2, 10], [6, 4], [14, 1]], 1/580608],
[[[2, 10], [6, 5], [10, 1]], 1/414720],
[[[2, 10], [10, 2], [14, 1]], 1/3528000],
[[[2, 12], [4, 2], [6, 4]], 17/318504960],
[[[2, 12], [4, 2], [10, 2]], 11/1548288000],
[[[2, 12], [4, 4], [6, 2]], 11/9909043200],
[[[2, 12], [4, 4], [10, 1]], 1/4954521600],
[[[2, 12], [6, 2], [10, 2]], 11789/15482880000],
[[[2, 12], [6, 3], [14, 1]], 1/4644864],
[[[2, 12], [6, 4], [10, 1]], 7/8294400],
[[[2, 14], [4, 2], [6, 3]], 1/278691840],
[[[2, 14], [4, 2], [14, 1]], 1/34681651200],
[[[2, 14], [4, 4], [6, 1]], 1/59454259200],
[[[2, 14], [6, 1], [10, 2]], 101/6635520000],
[[[2, 14], [6, 2], [14, 1]], 53/8670412800],
[[[2, 14], [6, 3], [10, 1]], 157/2064384000],
[[[2, 14], [10, 1], [14, 1]], 11/21676032000],
[[[2, 16], [4, 2], [6, 2]], 73/891813888000],
[[[2, 16], [4, 2], [10, 1]], 1/130056192000],
[[[2, 16], [6, 1], [14, 1]], 17/260112384000],
[[[2, 16], [6, 2], [10, 1]], 23/11612160000],
[[[2, 18], [4, 2], [6, 1]], 19/24970788864000],
[[[2, 18], [6, 1], [10, 1]], 421/20808990720000],
[[[4, 2], [8, 2], [28, 1]], 1/896],
[[[4, 2], [12, 1], [20, 2]], 1/300],
[[[4, 2], [20, 1], [28, 1]], 1/140],
[[[4, 4], [8, 2], [12, 2]], 1/4608],
[[[4, 4], [8, 2], [20, 1]], 1/3840],
[[[4, 4], [12, 1], [28, 1]], 1/672],
[[[4, 4], [12, 2], [20, 1]], 1/480],
[[[4, 6], [8, 2], [12, 1]], 1/46080],
[[[4, 6], [12, 1], [20, 1]], 19/38400],
[[[1, 1], [2, 1], [4, 3], [20, 2]], 1/200],
[[[1, 1], [2, 1], [4, 5], [8, 3]], 1/8192],
[[[1, 1], [2, 1], [4, 5], [12, 3]], 1/1152],
[[[1, 1], [2, 1], [4, 5], [28, 1]], 1/2688],
[[[1, 1], [2, 1], [4, 7], [8, 2]], 1/184320],
[[[1, 1], [2, 1], [4, 7], [12, 2]], 13/30720],
[[[1, 1], [2, 1], [4, 7], [16, 1]], 1/1290240],
[[[1, 1], [2, 1], [4, 7], [20, 1]], 31/230400],
[[[1, 1], [2, 1], [4, 9], [8, 1]], 1/430080],
[[[1, 1], [2, 1], [4, 9], [12, 1]], 1/53760],
[[[1, 1], [2, 3], [4, 4], [8, 3]], 3/65536],
[[[1, 1], [2, 5], [4, 3], [8, 3]], 3/65536],
[[[1, 1], [2, 5], [4, 3], [14, 2]], 5/200704],
[[[1, 1], [2, 5], [4, 5], [8, 2]], 17/2359296],
[[[1, 1], [2, 5], [6, 1], [10, 4]], 1/15000],
[[[1, 1], [2, 5], [6, 3], [10, 3]], 1/27000],
[[[1, 1], [2, 5], [10, 3], [14, 1]], 1/7000],
[[[1, 1], [2, 7], [4, 2], [8, 3]], 7/3932160],
[[[1, 1], [2, 7], [4, 2], [10, 3]], 1/96000],
[[[1, 1], [2, 7], [4, 2], [14, 2]], 1/602112],
[[[1, 1], [2, 7], [4, 4], [6, 4]], 1/5308416],
[[[1, 1], [2, 7], [4, 4], [8, 2]], 47/8847360],
[[[1, 1], [2, 7], [4, 4], [10, 2]], 1/1228800],
[[[1, 1], [2, 7], [4, 5], [6, 3]], 1/1769472],
[[[1, 1], [2, 7], [4, 5], [14, 1]], 1/2752512],
[[[1, 1], [2, 7], [6, 2], [10, 3]], 1/9600],
[[[1, 1], [2, 7], [6, 2], [14, 2]], 1/56448],
[[[1, 1], [2, 7], [6, 4], [10, 2]], 1/28800],
[[[1, 1], [2, 7], [8, 1], [10, 3]], 1/144000],
[[[1, 1], [2, 7], [8, 1], [14, 2]], 1/3010560],
[[[1, 1], [2, 7], [10, 1], [14, 2]], 1/94080],
[[[1, 1], [2, 9], [4, 1], [8, 3]], 1/41287680],
[[[1, 1], [2, 9], [4, 1], [10, 3]], 7/576000],
[[[1, 1], [2, 9], [4, 1], [14, 2]], 1/2408448],
[[[1, 1], [2, 9], [4, 2], [6, 5]], 1/995328],
[[[1, 1], [2, 9], [4, 3], [6, 4]], 13/5308416],
[[[1, 1], [2, 9], [4, 3], [8, 2]], 13/66060288],
[[[1, 1], [2, 9], [4, 3], [10, 2]], 1/409600],
[[[1, 1], [2, 9], [4, 3], [16, 1]], 1/41287680],
[[[1, 1], [2, 9], [4, 4], [6, 3]], 11/53084160],
[[[1, 1], [2, 9], [4, 4], [14, 1]], 1/41287680],
[[[1, 1], [2, 9], [4, 5], [6, 2]], 1/7864320],
[[[1, 1], [2, 9], [4, 5], [8, 1]], 439/3963617280],
[[[1, 1], [2, 9], [4, 5], [10, 1]], 1/11796480],
[[[1, 1], [2, 9], [6, 1], [10, 3]], 97/2880000],
[[[1, 1], [2, 9], [6, 1], [14, 2]], 11/4515840],
[[[1, 1], [2, 9], [6, 3], [10, 2]], 347/6912000],
[[[1, 1], [2, 9], [6, 4], [14, 1]], 5/580608],
[[[1, 1], [2, 9], [6, 5], [8, 1]], 1/995328],
[[[1, 1], [2, 9], [6, 5], [10, 1]], 13/1244160],
[[[1, 1], [2, 9], [10, 2], [14, 1]], 3/448000],
[[[1, 1], [2, 11], [3, 1], [6, 5]], 1/995328],
[[[1, 1], [2, 11], [4, 1], [6, 5]], 1/442368],
[[[1, 1], [2, 11], [4, 2], [6, 4]], 23/31850496],
[[[1, 1], [2, 11], [4, 2], [10, 2]], 17/86016000],
[[[1, 1], [2, 11], [4, 3], [6, 3]], 29/53084160],
[[[1, 1], [2, 11], [4, 3], [14, 1]], 1/48168960],
[[[1, 1], [2, 11], [4, 4], [6, 2]], 47/1981808640],
[[[1, 1], [2, 11], [4, 4], [10, 1]], 31/4954521600],
[[[1, 1], [2, 11], [4, 5], [6, 1]], 1/132120576],
[[[1, 1], [2, 11], [6, 2], [10, 2]], 59/5160960],
[[[1, 1], [2, 11], [6, 3], [14, 1]], 79/23224320],
[[[1, 1], [2, 11], [6, 4], [8, 1]], 17/79626240],
[[[1, 1], [2, 11], [6, 4], [10, 1]], 469/49766400],
[[[1, 1], [2, 11], [8, 1], [10, 2]], 11/387072000],
[[[1, 1], [2, 13], [3, 1], [6, 4]], 1/7962624],
[[[1, 1], [2, 13], [4, 1], [6, 4]], 11/21233664],
[[[1, 1], [2, 13], [4, 1], [10, 2]], 29/516096000],
[[[1, 1], [2, 13], [4, 2], [6, 3]], 247/2786918400],
[[[1, 1], [2, 13], [4, 2], [14, 1]], 1/722534400],
[[[1, 1], [2, 13], [4, 3], [6, 2]], 11/309657600],
[[[1, 1], [2, 13], [4, 3], [8, 1]], 1/39636172800],
[[[1, 1], [2, 13], [4, 3], [10, 1]], 1/176947200],
[[[1, 1], [2, 13], [4, 4], [6, 1]], 19/29727129600],
[[[1, 1], [2, 13], [6, 1], [10, 2]], 823/1720320000],
[[[1, 1], [2, 13], [6, 2], [14, 1]], 1717/8670412800],
[[[1, 1], [2, 13], [6, 3], [8, 1]], 1/69672960],
[[[1, 1], [2, 13], [6, 3], [10, 1]], 89407/55738368000],
[[[1, 1], [2, 13], [8, 1], [14, 1]], 1/8670412800],
[[[1, 1], [2, 13], [10, 1], [14, 1]], 493/21676032000],
[[[1, 1], [2, 15], [3, 1], [4, 3]], 1/2497078886400],
[[[1, 1], [2, 15], [3, 1], [6, 3]], 53/14863564800],
[[[1, 1], [2, 15], [4, 1], [6, 3]], 79/2123366400],
[[[1, 1], [2, 15], [4, 1], [14, 1]], 17/69363302400],
[[[1, 1], [2, 15], [4, 2], [6, 2]], 593/178362777600],
[[[1, 1], [2, 15], [4, 2], [8, 1]], 1/1664719257600],
[[[1, 1], [2, 15], [4, 2], [10, 1]], 59/148635648000],
[[[1, 1], [2, 15], [4, 3], [6, 1]], 1/1698693120],
[[[1, 1], [2, 15], [6, 1], [14, 1]], 17/5202247680],
[[[1, 1], [2, 15], [6, 2], [8, 1]], 73/222953472000],
[[[1, 1], [2, 15], [6, 2], [10, 1]], 817/11147673600],
[[[1, 1], [2, 15], [8, 1], [10, 1]], 1/32514048000],
[[[1, 1], [2, 17], [3, 1], [6, 2]], 17/445906944000],
[[[1, 1], [2, 17], [4, 1], [6, 2]], 59/66060288000],
[[[1, 1], [2, 17], [4, 1], [8, 1]], 1/4756340736000],
[[[1, 1], [2, 17], [4, 1], [10, 1]], 157/2080899072000],
[[[1, 1], [2, 17], [4, 2], [6, 1]], 551/12485394432000],
[[[1, 1], [2, 17], [6, 1], [8, 1]], 19/6242697216000],
[[[1, 1], [2, 17], [6, 1], [10, 1]], 17141/15606743040000],
[[[1, 1], [2, 19], [3, 1], [4, 1]], 1/149824733184000],
[[[1, 1], [2, 19], [3, 1], [6, 1]], 1/7134511104000],
[[[1, 1], [2, 19], [4, 1], [6, 1]], 29/3329438515200],
[[[1, 2], [2, 2], [4, 2], [8, 4]], 1/2048],
[[[1, 2], [2, 2], [4, 4], [8, 3]], 3/4096],
[[[1, 2], [2, 2], [4, 4], [12, 3]], 1/1152],
[[[1, 2], [2, 2], [4, 4], [28, 1]], 1/768],
[[[1, 2], [2, 2], [4, 6], [8, 2]], 647/1310720],
[[[1, 2], [2, 2], [4, 6], [12, 2]], 7/5120],
[[[1, 2], [2, 2], [4, 6], [16, 1]], 1/46080],
[[[1, 2], [2, 2], [4, 6], [20, 1]], 19/23040],
[[[1, 2], [2, 2], [4, 8], [8, 1]], 9/143360],
[[[1, 2], [2, 2], [4, 8], [12, 1]], 37/215040],
[[[1, 2], [2, 2], [7, 2], [8, 2]], 1/25088],
[[[1, 2], [2, 2], [8, 1], [16, 2]], 1/256],
[[[1, 2], [2, 2], [8, 2], [14, 2]], 1/25088],
[[[1, 2], [2, 4], [4, 3], [8, 3]], 47/196608],
[[[1, 2], [2, 4], [4, 3], [14, 2]], 1/100352],
[[[1, 2], [2, 4], [4, 5], [8, 2]], 1/12288],
[[[1, 2], [2, 4], [4, 6], [14, 1]], 11/2752512],
[[[1, 2], [2, 4], [6, 3], [10, 3]], 1/108000],
[[[1, 2], [2, 6], [4, 2], [7, 2]], 1/3612672],
[[[1, 2], [2, 6], [4, 2], [8, 3]], 5/98304],
[[[1, 2], [2, 6], [4, 2], [10, 3]], 1/38400],
[[[1, 2], [2, 6], [4, 2], [14, 2]], 41/602112],
[[[1, 2], [2, 6], [4, 4], [6, 4]], 1/10616832],
[[[1, 2], [2, 6], [4, 4], [8, 2]], 791/11796480],
[[[1, 2], [2, 6], [4, 4], [10, 2]], 11/2457600],
[[[1, 2], [2, 6], [4, 4], [16, 1]], 1/98304],
[[[1, 2], [2, 6], [4, 5], [6, 3]], 1/1769472],
[[[1, 2], [2, 6], [4, 5], [14, 1]], 1/458752],
[[[1, 2], [2, 6], [4, 6], [6, 2]], 35/14155776],
[[[1, 2], [2, 6], [4, 6], [8, 1]], 49/9437184],
[[[1, 2], [2, 6], [4, 6], [10, 1]], 11/11796480],
[[[1, 2], [2, 6], [6, 2], [10, 3]], 37/288000],
[[[1, 2], [2, 6], [6, 2], [14, 2]], 1/37632],
[[[1, 2], [2, 6], [6, 4], [8, 2]], 1/663552],
[[[1, 2], [2, 6], [6, 4], [10, 2]], 17/518400],
[[[1, 2], [2, 6], [8, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 6], [8, 1], [14, 2]], 1/150528],
[[[1, 2], [2, 6], [8, 2], [10, 2]], 1/460800],
[[[1, 2], [2, 6], [10, 1], [14, 2]], 1/26880],
[[[1, 2], [2, 8], [3, 1], [10, 3]], 1/216000],
[[[1, 2], [2, 8], [3, 1], [14, 2]], 1/4515840],
[[[1, 2], [2, 8], [4, 1], [8, 3]], 1/1474560],
[[[1, 2], [2, 8], [4, 1], [10, 3]], 1/11520],
[[[1, 2], [2, 8], [4, 1], [14, 2]], 17/2007040],
[[[1, 2], [2, 8], [4, 2], [6, 5]], 1/663552],
[[[1, 2], [2, 8], [4, 3], [6, 4]], 1/147456],
[[[1, 2], [2, 8], [4, 3], [8, 2]], 1331/165150720],
[[[1, 2], [2, 8], [4, 3], [10, 2]], 17/921600],
[[[1, 2], [2, 8], [4, 3], [16, 1]], 1/1474560],
[[[1, 2], [2, 8], [4, 4], [6, 3]], 95/10616832],
[[[1, 2], [2, 8], [4, 4], [7, 1]], 107/867041280],
[[[1, 2], [2, 8], [4, 4], [14, 1]], 53/13762560],
[[[1, 2], [2, 8], [4, 5], [6, 2]], 5/4718592],
[[[1, 2], [2, 8], [4, 5], [8, 1]], 61/35389440],
[[[1, 2], [2, 8], [4, 5], [10, 1]], 1/1310720],
[[[1, 2], [2, 8], [4, 6], [6, 1]], 71/141557760],
[[[1, 2], [2, 8], [6, 1], [10, 3]], 1/9000],
[[[1, 2], [2, 8], [6, 1], [14, 2]], 37/3010560],
[[[1, 2], [2, 8], [6, 3], [8, 2]], 1/3317760],
[[[1, 2], [2, 8], [6, 3], [10, 2]], 5063/41472000],
[[[1, 2], [2, 8], [6, 4], [14, 1]], 5/290304],
[[[1, 2], [2, 8], [6, 5], [8, 1]], 1/248832],
[[[1, 2], [2, 8], [6, 5], [10, 1]], 11/622080],
[[[1, 2], [2, 8], [7, 1], [8, 2]], 1/36126720],
[[[1, 2], [2, 8], [8, 2], [14, 1]], 1/72253440],
[[[1, 2], [2, 8], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 10], [3, 1], [6, 5]], 5/746496],
[[[1, 2], [2, 10], [3, 2], [6, 4]], 1/663552],
[[[1, 2], [2, 10], [4, 1], [6, 5]], 7/663552],
[[[1, 2], [2, 10], [4, 2], [6, 4]], 1543/106168320],
[[[1, 2], [2, 10], [4, 2], [8, 2]], 143/943718400],
[[[1, 2], [2, 10], [4, 2], [10, 2]], 3431/309657600],
[[[1, 2], [2, 10], [4, 2], [16, 1]], 1/41287680],
[[[1, 2], [2, 10], [4, 3], [6, 3]], 107/17694720],
[[[1, 2], [2, 10], [4, 3], [14, 1]], 9/16056320],
[[[1, 2], [2, 10], [4, 4], [6, 2]], 37/17694720],
[[[1, 2], [2, 10], [4, 4], [8, 1]], 73/283115520],
[[[1, 2], [2, 10], [4, 4], [10, 1]], 449/412876800],
[[[1, 2], [2, 10], [4, 4], [12, 1]], 1/61931520],
[[[1, 2], [2, 10], [4, 5], [6, 1]], 1/7864320],
[[[1, 2], [2, 10], [6, 2], [8, 2]], 11/619315200],
[[[1, 2], [2, 10], [6, 2], [10, 2]], 46567/774144000],
[[[1, 2], [2, 10], [6, 3], [14, 1]], 377/23224320],
[[[1, 2], [2, 10], [6, 4], [8, 1]], 23/7962624],
[[[1, 2], [2, 10], [6, 4], [10, 1]], 439/12441600],
[[[1, 2], [2, 10], [7, 1], [14, 1]], 1/20643840],
[[[1, 2], [2, 10], [8, 1], [10, 2]], 17/21504000],
[[[1, 2], [2, 10], [8, 2], [10, 1]], 1/309657600],
[[[1, 2], [2, 12], [3, 1], [4, 4]], 1/2972712960],
[[[1, 2], [2, 12], [3, 1], [6, 4]], 269/119439360],
[[[1, 2], [2, 12], [3, 1], [10, 2]], 11/580608000],
[[[1, 2], [2, 12], [3, 2], [6, 3]], 1/26542080],
[[[1, 2], [2, 12], [4, 1], [6, 4]], 47/6635520],
[[[1, 2], [2, 12], [4, 1], [8, 2]], 1/9909043200],
[[[1, 2], [2, 12], [4, 1], [10, 2]], 5/3096576],
[[[1, 2], [2, 12], [4, 2], [6, 3]], 12941/3715891200],
[[[1, 2], [2, 12], [4, 2], [14, 1]], 2467/23121100800],
[[[1, 2], [2, 12], [4, 3], [6, 2]], 17/22937600],
[[[1, 2], [2, 12], [4, 3], [8, 1]], 17/9909043200],
[[[1, 2], [2, 12], [4, 3], [10, 1]], 107/619315200],
[[[1, 2], [2, 12], [4, 4], [6, 1]], 7597/59454259200],
[[[1, 2], [2, 12], [6, 1], [8, 2]], 1/3715891200],
[[[1, 2], [2, 12], [6, 1], [10, 2]], 11791/2322432000],
[[[1, 2], [2, 12], [6, 2], [14, 1]], 4661/2167603200],
[[[1, 2], [2, 12], [6, 3], [8, 1]], 247/696729600],
[[[1, 2], [2, 12], [6, 3], [10, 1]], 167767/13934592000],
[[[1, 2], [2, 12], [8, 1], [14, 1]], 1/180633600],
[[[1, 2], [2, 12], [10, 1], [14, 1]], 19/51609600],
[[[1, 2], [2, 14], [3, 1], [4, 3]], 1/44590694400],
[[[1, 2], [2, 14], [3, 1], [6, 3]], 1721/13377208320],
[[[1, 2], [2, 14], [3, 1], [14, 1]], 1/13005619200],
[[[1, 2], [2, 14], [3, 2], [4, 2]], 1/1872809164800],
[[[1, 2], [2, 14], [3, 2], [6, 2]], 1/4246732800],
[[[1, 2], [2, 14], [4, 1], [6, 3]], 4499/4954521600],
[[[1, 2], [2, 14], [4, 1], [14, 1]], 403/34681651200],
[[[1, 2], [2, 14], [4, 2], [6, 2]], 27863/118908518400],
[[[1, 2], [2, 14], [4, 2], [8, 1]], 59/237817036800],
[[[1, 2], [2, 14], [4, 2], [10, 1]], 2017/59454259200],
[[[1, 2], [2, 14], [4, 3], [6, 1]], 1/45875200],
[[[1, 2], [2, 14], [6, 1], [14, 1]], 3211/52022476800],
[[[1, 2], [2, 14], [6, 2], [8, 1]], 593/44590694400],
[[[1, 2], [2, 14], [6, 2], [10, 1]], 27553/27869184000],
[[[1, 2], [2, 14], [8, 1], [10, 1]], 59/37158912000],
[[[1, 2], [2, 16], [3, 1], [4, 2]], 1/124853944320],
[[[1, 2], [2, 16], [3, 1], [6, 2]], 2893/1337720832000],
[[[1, 2], [2, 16], [3, 1], [10, 1]], 1/48771072000],
[[[1, 2], [2, 16], [4, 1], [6, 2]], 21289/594542592000],
[[[1, 2], [2, 16], [4, 1], [8, 1]], 107/4161798144000],
[[[1, 2], [2, 16], [4, 1], [10, 1]], 323/83235962880],
[[[1, 2], [2, 16], [4, 2], [6, 1]], 17467/4161798144000],
[[[1, 2], [2, 16], [6, 1], [8, 1]], 551/3121348608000],
[[[1, 2], [2, 16], [6, 1], [10, 1]], 145937/6242697216000],
[[[1, 2], [2, 18], [3, 1], [4, 1]], 19/37456183296000],
[[[1, 2], [2, 18], [3, 1], [6, 1]], 1753/149824733184000],
[[[1, 2], [2, 18], [4, 1], [6, 1]], 83/166471925760],
[[[1, 2], [4, 3], [8, 2], [16, 1]], 1/8192],
[[[1, 2], [4, 4], [7, 1], [8, 2]], 1/21504],
[[[1, 3], [2, 1], [4, 4], [8, 3]], 3/65536],
[[[1, 3], [2, 3], [4, 3], [7, 2]], 1/602112],
[[[1, 3], [2, 3], [4, 3], [8, 3]], 39/16384],
[[[1, 3], [2, 3], [4, 3], [12, 3]], 1/3456],
[[[1, 3], [2, 3], [4, 3], [14, 2]], 1/602112],
[[[1, 3], [2, 3], [4, 3], [28, 1]], 1/896],
[[[1, 3], [2, 3], [4, 5], [8, 2]], 1237/393216],
[[[1, 3], [2, 3], [4, 5], [12, 2]], 5/3072],
[[[1, 3], [2, 3], [4, 5], [16, 1]], 19/98304],
[[[1, 3], [2, 3], [4, 5], [20, 1]], 13/7680],
[[[1, 3], [2, 3], [4, 7], [8, 1]], 244409/495452160],
[[[1, 3], [2, 3], [4, 7], [12, 1]], 7/11520],
[[[1, 3], [2, 5], [4, 2], [7, 2]], 1/301056],
[[[1, 3], [2, 5], [4, 2], [8, 3]], 581/3932160],
[[[1, 3], [2, 5], [4, 2], [10, 3]], 1/32000],
[[[1, 3], [2, 5], [4, 2], [14, 2]], 11/200704],
[[[1, 3], [2, 5], [4, 4], [8, 2]], 157/294912],
[[[1, 3], [2, 5], [4, 4], [10, 2]], 1/102400],
[[[1, 3], [2, 5], [4, 4], [16, 1]], 1/16384],
[[[1, 3], [2, 5], [4, 5], [7, 1]], 1/589824],
[[[1, 3], [2, 5], [4, 5], [14, 1]], 137/2752512],
[[[1, 3], [2, 5], [4, 6], [6, 2]], 11/14155776],
[[[1, 3], [2, 5], [4, 6], [8, 1]], 109/3145728],
[[[1, 3], [2, 5], [4, 6], [10, 1]], 11/3932160],
[[[1, 3], [2, 5], [4, 7], [6, 1]], 11/2359296],
[[[1, 3], [2, 5], [5, 2], [10, 2]], 1/6000],
[[[1, 3], [2, 5], [6, 2], [10, 3]], 1/28800],
[[[1, 3], [2, 5], [6, 2], [14, 2]], 1/56448],
[[[1, 3], [2, 5], [6, 4], [8, 2]], 1/331776],
[[[1, 3], [2, 5], [6, 4], [10, 2]], 1/86400],
[[[1, 3], [2, 5], [7, 2], [8, 1]], 1/602112],
[[[1, 3], [2, 5], [8, 1], [10, 3]], 1/16000],
[[[1, 3], [2, 5], [8, 1], [14, 2]], 1/43008],
[[[1, 3], [2, 5], [8, 2], [10, 2]], 1/76800],
[[[1, 3], [2, 5], [10, 1], [14, 2]], 1/31360],
[[[1, 3], [2, 7], [3, 1], [10, 3]], 1/36000],
[[[1, 3], [2, 7], [3, 1], [14, 2]], 1/225792],
[[[1, 3], [2, 7], [4, 1], [7, 2]], 1/7225344],
[[[1, 3], [2, 7], [4, 1], [8, 3]], 263/41287680],
[[[1, 3], [2, 7], [4, 1], [10, 3]], 149/864000],
[[[1, 3], [2, 7], [4, 1], [14, 2]], 1171/36126720],
[[[1, 3], [2, 7], [4, 2], [6, 5]], 1/995328],
[[[1, 3], [2, 7], [4, 3], [6, 4]], 25/3981312],
[[[1, 3], [2, 7], [4, 3], [8, 2]], 1517/11796480],
[[[1, 3], [2, 7], [4, 3], [10, 2]], 1/17280],
[[[1, 3], [2, 7], [4, 3], [16, 1]], 1/65536],
[[[1, 3], [2, 7], [4, 4], [6, 3]], 17/1179648],
[[[1, 3], [2, 7], [4, 4], [7, 1]], 47/30965760],
[[[1, 3], [2, 7], [4, 4], [14, 1]], 67/2752512],
[[[1, 3], [2, 7], [4, 5], [5, 1]], 1/1966080],
[[[1, 3], [2, 7], [4, 5], [6, 2]], 379/14155776],
[[[1, 3], [2, 7], [4, 5], [8, 1]], 917/18874368],
[[[1, 3], [2, 7], [4, 5], [10, 1]], 61/3932160],
[[[1, 3], [2, 7], [4, 5], [12, 1]], 1/147456],
[[[1, 3], [2, 7], [4, 6], [6, 1]], 47/14155776],
[[[1, 3], [2, 7], [6, 1], [10, 3]], 13/96000],
[[[1, 3], [2, 7], [6, 1], [14, 2]], 11/451584],
[[[1, 3], [2, 7], [6, 3], [8, 2]], 11/3317760],
[[[1, 3], [2, 7], [6, 3], [10, 2]], 83/691200],
[[[1, 3], [2, 7], [6, 4], [14, 1]], 5/290304],
[[[1, 3], [2, 7], [6, 5], [8, 1]], 1/165888],
[[[1, 3], [2, 7], [6, 5], [10, 1]], 1/69120],
[[[1, 3], [2, 7], [7, 1], [8, 2]], 1/1290240],
[[[1, 3], [2, 7], [8, 2], [14, 1]], 1/2580480],
[[[1, 3], [2, 7], [10, 2], [14, 1]], 11/134400],
[[[1, 3], [2, 9], [3, 1], [4, 5]], 53/212336640],
[[[1, 3], [2, 9], [3, 1], [6, 5]], 53/2985984],
[[[1, 3], [2, 9], [3, 2], [4, 4]], 107/4459069440],
[[[1, 3], [2, 9], [3, 2], [6, 4]], 13/995328],
[[[1, 3], [2, 9], [3, 2], [8, 2]], 1/185794560],
[[[1, 3], [2, 9], [4, 1], [6, 5]], 235/11943936],
[[[1, 3], [2, 9], [4, 2], [6, 4]], 1777/39813120],
[[[1, 3], [2, 9], [4, 2], [8, 2]], 17/2752512],
[[[1, 3], [2, 9], [4, 2], [10, 2]], 539/6144000],
[[[1, 3], [2, 9], [4, 2], [16, 1]], 1/1376256],
[[[1, 3], [2, 9], [4, 3], [6, 3]], 3709/79626240],
[[[1, 3], [2, 9], [4, 3], [7, 1]], 121/578027520],
[[[1, 3], [2, 9], [4, 3], [14, 1]], 23437/1734082560],
[[[1, 3], [2, 9], [4, 4], [5, 1]], 107/1238630400],
[[[1, 3], [2, 9], [4, 4], [6, 2]], 77/4423680],
[[[1, 3], [2, 9], [4, 4], [8, 1]], 7891/1321205760],
[[[1, 3], [2, 9], [4, 4], [10, 1]], 103/9830400],
[[[1, 3], [2, 9], [4, 4], [12, 1]], 1/2211840],
[[[1, 3], [2, 9], [4, 5], [6, 1]], 1403/283115520],
[[[1, 3], [2, 9], [5, 1], [8, 2]], 1/51609600],
[[[1, 3], [2, 9], [5, 2], [10, 1]], 1/8064000],
[[[1, 3], [2, 9], [6, 2], [8, 2]], 47/123863040],
[[[1, 3], [2, 9], [6, 2], [10, 2]], 311/2211840],
[[[1, 3], [2, 9], [6, 3], [14, 1]], 827/23224320],
[[[1, 3], [2, 9], [6, 4], [8, 1]], 293/26542080],
[[[1, 3], [2, 9], [6, 4], [10, 1]], 1021/16588800],
[[[1, 3], [2, 9], [7, 1], [14, 1]], 1/645120],
[[[1, 3], [2, 9], [8, 1], [10, 2]], 367/55296000],
[[[1, 3], [2, 9], [8, 2], [10, 1]], 31/309657600],
[[[1, 3], [2, 11], [3, 1], [4, 4]], 17/1486356480],
[[[1, 3], [2, 11], [3, 1], [6, 4]], 799/59719680],
[[[1, 3], [2, 11], [3, 1], [10, 2]], 17/32256000],
[[[1, 3], [2, 11], [3, 2], [4, 3]], 1/2229534720],
[[[1, 3], [2, 11], [3, 2], [6, 3]], 1/737280],
[[[1, 3], [2, 11], [4, 1], [6, 4]], 2879/95551488],
[[[1, 3], [2, 11], [4, 1], [8, 2]], 59/4954521600],
[[[1, 3], [2, 11], [4, 1], [10, 2]], 4837/331776000],
[[[1, 3], [2, 11], [4, 1], [16, 1]], 1/495452160],
[[[1, 3], [2, 11], [4, 2], [6, 3]], 75629/2229534720],
[[[1, 3], [2, 11], [4, 2], [14, 1]], 841/346816512],
[[[1, 3], [2, 11], [4, 3], [6, 2]], 176231/14863564800],
[[[1, 3], [2, 11], [4, 3], [8, 1]], 41039/118908518400],
[[[1, 3], [2, 11], [4, 3], [10, 1]], 7031/1486356480],
[[[1, 3], [2, 11], [4, 3], [12, 1]], 1/61931520],
[[[1, 3], [2, 11], [4, 4], [6, 1]], 2047/990904320],
[[[1, 3], [2, 11], [6, 1], [8, 2]], 19/1857945600],
[[[1, 3], [2, 11], [6, 1], [10, 2]], 19199/774144000],
[[[1, 3], [2, 11], [6, 2], [14, 1]], 4457/433520640],
[[[1, 3], [2, 11], [6, 3], [8, 1]], 157/51609600],
[[[1, 3], [2, 11], [6, 3], [10, 1]], 13147/309657600],
[[[1, 3], [2, 11], [8, 1], [14, 1]], 1/10321920],
[[[1, 3], [2, 11], [10, 1], [14, 1]], 2917/1083801600],
[[[1, 3], [2, 13], [3, 1], [4, 3]], 659/178362777600],
[[[1, 3], [2, 13], [3, 1], [6, 3]], 6139/3822059520],
[[[1, 3], [2, 13], [3, 1], [14, 1]], 1/270950400],
[[[1, 3], [2, 13], [3, 2], [4, 2]], 1/33443020800],
[[[1, 3], [2, 13], [3, 2], [6, 2]], 11/594542592],
[[[1, 3], [2, 13], [4, 1], [6, 3]], 266017/33443020800],
[[[1, 3], [2, 13], [4, 1], [14, 1]], 42221/208089907200],
[[[1, 3], [2, 13], [4, 2], [6, 2]], 1502737/356725555200],
[[[1, 3], [2, 13], [4, 2], [8, 1]], 113/7431782400],
[[[1, 3], [2, 13], [4, 2], [10, 1]], 262739/297271296000],
[[[1, 3], [2, 13], [4, 3], [6, 1]], 35593/50960793600],
[[[1, 3], [2, 13], [6, 1], [14, 1]], 3653/6502809600],
[[[1, 3], [2, 13], [6, 2], [8, 1]], 53/265420800],
[[[1, 3], [2, 13], [6, 2], [10, 1]], 1999/309657600],
[[[1, 3], [2, 13], [8, 1], [10, 1]], 289/9289728000],
[[[1, 3], [2, 15], [3, 1], [4, 2]], 547/1248539443200],
[[[1, 3], [2, 15], [3, 1], [6, 2]], 2503/53508833280],
[[[1, 3], [2, 15], [3, 1], [8, 1]], 1/624269721600],
[[[1, 3], [2, 15], [3, 1], [10, 1]], 59/55738368000],
[[[1, 3], [2, 15], [3, 2], [4, 1]], 1/936404582400],
[[[1, 3], [2, 15], [3, 2], [6, 1]], 1/22295347200],
[[[1, 3], [2, 15], [4, 1], [6, 2]], 2873711/5350883328000],
[[[1, 3], [2, 15], [4, 1], [8, 1]], 677/665887703040],
[[[1, 3], [2, 15], [4, 1], [10, 1]], 478123/6242697216000],
[[[1, 3], [2, 15], [4, 2], [6, 1]], 46069/356725555200],
[[[1, 3], [2, 15], [6, 1], [8, 1]], 337/83235962880],
[[[1, 3], [2, 15], [6, 1], [10, 1]], 37627/148635648000],
[[[1, 3], [2, 17], [3, 1], [4, 1]], 589/24970788864000],
[[[1, 3], [2, 17], [3, 1], [6, 1]], 5833/14982473318400],
[[[1, 3], [2, 17], [4, 1], [6, 1]], 121531/10701766656000],
[[[1, 4], [2, 2], [3, 3], [5, 3]], 1/108000],
[[[1, 4], [2, 2], [4, 3], [7, 2]], 1/100352],
[[[1, 4], [2, 2], [4, 3], [8, 3]], 47/196608],
[[[1, 4], [2, 2], [4, 5], [8, 2]], 1/12288],
[[[1, 4], [2, 2], [4, 6], [7, 1]], 11/2752512],
[[[1, 4], [2, 4], [3, 2], [5, 3]], 1/1728000],
[[[1, 4], [2, 4], [3, 2], [7, 2]], 1/225792],
[[[1, 4], [2, 4], [3, 2], [14, 2]], 1/56448],
[[[1, 4], [2, 4], [3, 4], [5, 2]], 1/1036800],
[[[1, 4], [2, 4], [3, 4], [8, 2]], 1/663552],
[[[1, 4], [2, 4], [4, 2], [7, 2]], 15/802816],
[[[1, 4], [2, 4], [4, 2], [8, 3]], 43/49152],
[[[1, 4], [2, 4], [4, 2], [14, 2]], 15/802816],
[[[1, 4], [2, 4], [4, 2], [28, 1]], 1/10752],
[[[1, 4], [2, 4], [4, 4], [5, 2]], 1/204800],
[[[1, 4], [2, 4], [4, 4], [8, 2]], 4265/1179648],
[[[1, 4], [2, 4], [4, 4], [10, 2]], 1/204800],
[[[1, 4], [2, 4], [4, 4], [12, 2]], 37/55296],
[[[1, 4], [2, 4], [4, 4], [16, 1]], 19/49152],
[[[1, 4], [2, 4], [4, 4], [20, 1]], 43/46080],
[[[1, 4], [2, 4], [4, 5], [7, 1]], 1/98304],
[[[1, 4], [2, 4], [4, 5], [14, 1]], 1/98304],
[[[1, 4], [2, 4], [4, 6], [5, 1]], 11/1966080],
[[[1, 4], [2, 4], [4, 6], [8, 1]], 100613/70778880],
[[[1, 4], [2, 4], [4, 6], [10, 1]], 11/1966080],
[[[1, 4], [2, 4], [4, 6], [12, 1]], 2029/2211840],
[[[1, 4], [2, 4], [5, 1], [7, 2]], 1/376320],
[[[1, 4], [2, 4], [5, 2], [8, 2]], 1/51200],
[[[1, 4], [2, 4], [5, 2], [10, 2]], 1/1125],
[[[1, 4], [2, 4], [6, 2], [7, 2]], 1/56448],
[[[1, 4], [2, 4], [6, 2], [10, 3]], 1/1728000],
[[[1, 4], [2, 4], [6, 2], [14, 2]], 1/225792],
[[[1, 4], [2, 4], [6, 4], [8, 2]], 1/663552],
[[[1, 4], [2, 4], [6, 4], [10, 2]], 1/1036800],
[[[1, 4], [2, 4], [7, 2], [8, 1]], 1/50176],
[[[1, 4], [2, 4], [8, 1], [14, 2]], 1/50176],
[[[1, 4], [2, 4], [8, 2], [10, 2]], 1/51200],
[[[1, 4], [2, 4], [8, 2], [16, 1]], 1/3072],
[[[1, 4], [2, 4], [10, 1], [14, 2]], 1/376320],
[[[1, 4], [2, 6], [3, 1], [4, 6]], 89/28311552],
[[[1, 4], [2, 6], [3, 1], [7, 2]], 1/1806336],
[[[1, 4], [2, 6], [3, 1], [10, 3]], 1/24000],
[[[1, 4], [2, 6], [3, 1], [14, 2]], 1/64512],
[[[1, 4], [2, 6], [3, 2], [4, 5]], 7/21233664],
[[[1, 4], [2, 6], [3, 3], [5, 2]], 1/8294400],
[[[1, 4], [2, 6], [4, 1], [7, 2]], 1/401408],
[[[1, 4], [2, 6], [4, 1], [8, 3]], 23/1474560],
[[[1, 4], [2, 6], [4, 1], [10, 3]], 19/288000],
[[[1, 4], [2, 6], [4, 1], [14, 2]], 67/1806336],
[[[1, 4], [2, 6], [4, 2], [6, 5]], 1/3981312],
[[[1, 4], [2, 6], [4, 3], [5, 2]], 1/307200],
[[[1, 4], [2, 6], [4, 3], [6, 4]], 1/497664],
[[[1, 4], [2, 6], [4, 3], [8, 2]], 2419/2621440],
[[[1, 4], [2, 6], [4, 3], [10, 2]], 83/921600],
[[[1, 4], [2, 6], [4, 3], [16, 1]], 3/32768],
[[[1, 4], [2, 6], [4, 4], [6, 3]], 35/5308416],
[[[1, 4], [2, 6], [4, 4], [7, 1]], 347/16515072],
[[[1, 4], [2, 6], [4, 4], [14, 1]], 4147/33030144],
[[[1, 4], [2, 6], [4, 5], [5, 1]], 5/1179648],
[[[1, 4], [2, 6], [4, 5], [6, 2]], 373/14155776],
[[[1, 4], [2, 6], [4, 5], [8, 1]], 709/2359296],
[[[1, 4], [2, 6], [4, 5], [10, 1]], 607/11796480],
[[[1, 4], [2, 6], [4, 5], [12, 1]], 1/24576],
[[[1, 4], [2, 6], [4, 6], [6, 1]], 7/131072],
[[[1, 4], [2, 6], [6, 1], [7, 2]], 1/903168],
[[[1, 4], [2, 6], [6, 1], [10, 3]], 19/432000],
[[[1, 4], [2, 6], [6, 1], [14, 2]], 13/602112],
[[[1, 4], [2, 6], [6, 3], [8, 2]], 5/663552],
[[[1, 4], [2, 6], [6, 3], [10, 2]], 43/921600],
[[[1, 4], [2, 6], [6, 4], [14, 1]], 5/580608],
[[[1, 4], [2, 6], [6, 5], [8, 1]], 1/248832],
[[[1, 4], [2, 6], [6, 5], [10, 1]], 7/1244160],
[[[1, 4], [2, 6], [7, 1], [8, 2]], 5/688128],
[[[1, 4], [2, 6], [8, 2], [14, 1]], 1/172032],
[[[1, 4], [2, 6], [10, 2], [14, 1]], 1/20160],
[[[1, 4], [2, 8], [3, 1], [4, 5]], 277/106168320],
[[[1, 4], [2, 8], [3, 1], [6, 5]], 1/41472],
[[[1, 4], [2, 8], [3, 2], [4, 4]], 2867/2229534720],
[[[1, 4], [2, 8], [3, 2], [5, 2]], 1/265420800],
[[[1, 4], [2, 8], [3, 2], [6, 4]], 559/5971968],
[[[1, 4], [2, 8], [3, 2], [8, 2]], 29/185794560],
[[[1, 4], [2, 8], [3, 2], [10, 2]], 1/1036800],
[[[1, 4], [2, 8], [3, 3], [4, 3]], 1/3981312],
[[[1, 4], [2, 8], [3, 3], [6, 3]], 1/41472],
[[[1, 4], [2, 8], [3, 4], [4, 2]], 1/95551488],
[[[1, 4], [2, 8], [3, 4], [6, 2]], 1/663552],
[[[1, 4], [2, 8], [4, 1], [6, 5]], 55/2985984],
[[[1, 4], [2, 8], [4, 2], [5, 2]], 1/7372800],
[[[1, 4], [2, 8], [4, 2], [6, 4]], 1171/21233664],
[[[1, 4], [2, 8], [4, 2], [8, 2]], 4691/66060288],
[[[1, 4], [2, 8], [4, 2], [10, 2]], 9781/44236800],
[[[1, 4], [2, 8], [4, 2], [16, 1]], 113/15482880],
[[[1, 4], [2, 8], [4, 3], [6, 3]], 6791/79626240],
[[[1, 4], [2, 8], [4, 3], [7, 1]], 7/1966080],
[[[1, 4], [2, 8], [4, 3], [14, 1]], 9461/123863040],
[[[1, 4], [2, 8], [4, 4], [5, 1]], 17119/7431782400],
[[[1, 4], [2, 8], [4, 4], [6, 2]], 16919/169869312],
[[[1, 4], [2, 8], [4, 4], [8, 1]], 47879/424673280],
[[[1, 4], [2, 8], [4, 4], [10, 1]], 45893/707788800],
[[[1, 4], [2, 8], [4, 4], [12, 1]], 1/98304],
[[[1, 4], [2, 8], [4, 5], [6, 1]], 611/17694720],
[[[1, 4], [2, 8], [5, 1], [8, 2]], 17/30965760],
[[[1, 4], [2, 8], [5, 1], [10, 2]], 1/115200],
[[[1, 4], [2, 8], [5, 2], [10, 1]], 53/12096000],
[[[1, 4], [2, 8], [6, 2], [8, 2]], 7/2211840],
[[[1, 4], [2, 8], [6, 2], [10, 2]], 33401/221184000],
[[[1, 4], [2, 8], [6, 3], [14, 1]], 313/7741440],
[[[1, 4], [2, 8], [6, 4], [8, 1]], 359/19906560],
[[[1, 4], [2, 8], [6, 4], [10, 1]], 1357/24883200],
[[[1, 4], [2, 8], [7, 1], [14, 1]], 9/573440],
[[[1, 4], [2, 8], [8, 1], [10, 2]], 7/307200],
[[[1, 4], [2, 8], [8, 2], [10, 1]], 1/614400],
[[[1, 4], [2, 10], [3, 1], [4, 4]], 11603/11890851840],
[[[1, 4], [2, 10], [3, 1], [6, 4]], 499/13271040],
[[[1, 4], [2, 10], [3, 1], [8, 2]], 1/123863040],
[[[1, 4], [2, 10], [3, 1], [10, 2]], 367/82944000],
[[[1, 4], [2, 10], [3, 2], [4, 3]], 499/8918138880],
[[[1, 4], [2, 10], [3, 2], [6, 3]], 1933/119439360],
[[[1, 4], [2, 10], [3, 2], [14, 1]], 1/162570240],
[[[1, 4], [2, 10], [3, 3], [6, 2]], 11/26542080],
[[[1, 4], [2, 10], [4, 1], [6, 4]], 14273/238878720],
[[[1, 4], [2, 10], [4, 1], [8, 2]], 1037/1981808640],
[[[1, 4], [2, 10], [4, 1], [10, 2]], 5483/96768000],
[[[1, 4], [2, 10], [4, 1], [16, 1]], 1/15482880],
[[[1, 4], [2, 10], [4, 2], [6, 3]], 6839/63700992],
[[[1, 4], [2, 10], [4, 2], [7, 1]], 73/660602880],
[[[1, 4], [2, 10], [4, 2], [14, 1]], 15809/867041280],
[[[1, 4], [2, 10], [4, 3], [5, 1]], 121/825753600],
[[[1, 4], [2, 10], [4, 3], [6, 2]], 228569/2972712960],
[[[1, 4], [2, 10], [4, 3], [8, 1]], 1609/169869312],
[[[1, 4], [2, 10], [4, 3], [10, 1]], 297301/7431782400],
[[[1, 4], [2, 10], [4, 3], [12, 1]], 1/2064384],
[[[1, 4], [2, 10], [4, 4], [6, 1]], 32581/1486356480],
[[[1, 4], [2, 10], [6, 1], [8, 2]], 143/743178240],
[[[1, 4], [2, 10], [6, 1], [10, 2]], 283901/4644864000],
[[[1, 4], [2, 10], [6, 2], [14, 1]], 4351/173408256],
[[[1, 4], [2, 10], [6, 3], [8, 1]], 3133/278691840],
[[[1, 4], [2, 10], [6, 3], [10, 1]], 5377/68812800],
[[[1, 4], [2, 10], [8, 1], [14, 1]], 83/108380160],
[[[1, 4], [2, 10], [10, 1], [14, 1]], 4241/433520640],
[[[1, 4], [2, 12], [3, 1], [4, 3]], 559/4954521600],
[[[1, 4], [2, 12], [3, 1], [6, 3]], 821/88473600],
[[[1, 4], [2, 12], [3, 1], [14, 1]], 1/15482880],
[[[1, 4], [2, 12], [3, 2], [4, 2]], 103/66886041600],
[[[1, 4], [2, 12], [3, 2], [6, 2]], 2917/6370099200],
[[[1, 4], [2, 12], [3, 2], [10, 1]], 1/696729600],
[[[1, 4], [2, 12], [4, 1], [6, 3]], 1071601/33443020800],
[[[1, 4], [2, 12], [4, 1], [14, 1]], 14219/8670412800],
[[[1, 4], [2, 12], [4, 2], [6, 2]], 37657/1274019840],
[[[1, 4], [2, 12], [4, 2], [8, 1]], 49387/118908518400],
[[[1, 4], [2, 12], [4, 2], [10, 1]], 14267/1651507200],
[[[1, 4], [2, 12], [4, 2], [12, 1]], 1/743178240],
[[[1, 4], [2, 12], [4, 3], [6, 1]], 394207/44590694400],
[[[1, 4], [2, 12], [5, 1], [10, 1]], 1/68812800],
[[[1, 4], [2, 12], [6, 1], [14, 1]], 70237/26011238400],
[[[1, 4], [2, 12], [6, 2], [8, 1]], 319/222953472],
[[[1, 4], [2, 12], [6, 2], [10, 1]], 9901/435456000],
[[[1, 4], [2, 12], [8, 1], [10, 1]], 137/464486400],
[[[1, 4], [2, 14], [3, 1], [4, 2]], 91057/7491236659200],
[[[1, 4], [2, 14], [3, 1], [6, 2]], 547/1101004800],
[[[1, 4], [2, 14], [3, 1], [8, 1]], 1/11147673600],
[[[1, 4], [2, 14], [3, 1], [10, 1]], 289/13934592000],
[[[1, 4], [2, 14], [3, 2], [4, 1]], 1/16721510400],
[[[1, 4], [2, 14], [3, 2], [6, 1]], 31/13377208320],
[[[1, 4], [2, 14], [4, 1], [6, 2]], 4228117/1070176665600],
[[[1, 4], [2, 14], [4, 1], [8, 1]], 47051/2497078886400],
[[[1, 4], [2, 14], [4, 1], [10, 1]], 665887/891813888000],
[[[1, 4], [2, 14], [4, 2], [6, 1]], 129877/79272345600],
[[[1, 4], [2, 14], [6, 1], [8, 1]], 151/3185049600],
[[[1, 4], [2, 14], [6, 1], [10, 1]], 2749331/1783627776000],
[[[1, 4], [2, 16], [3, 1], [4, 1]], 5147/7491236659200],
[[[1, 4], [2, 16], [3, 1], [6, 1]], 11197/1664719257600],
[[[1, 4], [2, 16], [4, 1], [6, 1]], 5009591/37456183296000],
[[[1, 4], [3, 1], [4, 3], [8, 3]], 1/24576],
[[[1, 4], [3, 1], [5, 3], [7, 1]], 1/10500],
[[[1, 4], [3, 2], [4, 2], [5, 3]], 1/144000],
[[[1, 4], [3, 2], [4, 4], [5, 2]], 1/1843200],
[[[1, 4], [3, 2], [4, 4], [8, 2]], 5/221184],
[[[1, 4], [4, 2], [5, 1], [7, 2]], 1/31360],
[[[1, 4], [4, 4], [5, 1], [8, 2]], 1/92160],
[[[1, 4], [4, 4], [8, 1], [16, 1]], 1/98304],
[[[1, 5], [2, 1], [3, 1], [5, 4]], 1/15000],
[[[1, 5], [2, 1], [3, 3], [5, 3]], 1/27000],
[[[1, 5], [2, 1], [4, 3], [7, 2]], 5/200704],
[[[1, 5], [2, 1], [4, 3], [8, 3]], 3/65536],
[[[1, 5], [2, 1], [4, 5], [8, 2]], 17/2359296],
[[[1, 5], [2, 1], [5, 3], [7, 1]], 1/7000],
[[[1, 5], [2, 3], [3, 1], [4, 7]], 11/2359296],
[[[1, 5], [2, 3], [3, 2], [4, 6]], 11/14155776],
[[[1, 5], [2, 3], [3, 2], [5, 3]], 1/28800],
[[[1, 5], [2, 3], [3, 2], [7, 2]], 1/56448],
[[[1, 5], [2, 3], [3, 4], [5, 2]], 1/86400],
[[[1, 5], [2, 3], [3, 4], [8, 2]], 1/331776],
[[[1, 5], [2, 3], [4, 2], [5, 3]], 1/32000],
[[[1, 5], [2, 3], [4, 2], [7, 2]], 11/200704],
[[[1, 5], [2, 3], [4, 2], [8, 3]], 581/3932160],
[[[1, 5], [2, 3], [4, 2], [14, 2]], 1/301056],
[[[1, 5], [2, 3], [4, 4], [5, 2]], 1/102400],
[[[1, 5], [2, 3], [4, 4], [8, 2]], 157/294912],
[[[1, 5], [2, 3], [4, 4], [16, 1]], 1/16384],
[[[1, 5], [2, 3], [4, 5], [7, 1]], 137/2752512],
[[[1, 5], [2, 3], [4, 5], [14, 1]], 1/589824],
[[[1, 5], [2, 3], [4, 6], [5, 1]], 11/3932160],
[[[1, 5], [2, 3], [4, 6], [8, 1]], 109/3145728],
[[[1, 5], [2, 3], [5, 1], [7, 2]], 1/31360],
[[[1, 5], [2, 3], [5, 2], [8, 2]], 1/76800],
[[[1, 5], [2, 3], [5, 2], [10, 2]], 1/6000],
[[[1, 5], [2, 3], [5, 3], [8, 1]], 1/16000],
[[[1, 5], [2, 3], [7, 2], [8, 1]], 1/43008],
[[[1, 5], [2, 3], [8, 1], [14, 2]], 1/602112],
[[[1, 5], [2, 5], [3, 1], [4, 6]], 67/4718592],
[[[1, 5], [2, 5], [3, 1], [5, 3]], 1/576000],
[[[1, 5], [2, 5], [3, 1], [7, 2]], 1/129024],
[[[1, 5], [2, 5], [3, 1], [14, 2]], 1/75264],
[[[1, 5], [2, 5], [3, 2], [4, 5]], 157/21233664],
[[[1, 5], [2, 5], [3, 3], [4, 4]], 5/5308416],
[[[1, 5], [2, 5], [3, 3], [5, 2]], 7/1382400],
[[[1, 5], [2, 5], [3, 3], [8, 2]], 1/221184],
[[[1, 5], [2, 5], [3, 4], [4, 3]], 1/15925248],
[[[1, 5], [2, 5], [3, 4], [7, 1]], 1/580608],
[[[1, 5], [2, 5], [3, 5], [5, 1]], 1/1244160],
[[[1, 5], [2, 5], [3, 5], [8, 1]], 1/995328],
[[[1, 5], [2, 5], [4, 1], [5, 3]], 1/192000],
[[[1, 5], [2, 5], [4, 1], [7, 2]], 101/7225344],
[[[1, 5], [2, 5], [4, 1], [8, 3]], 13/98304],
[[[1, 5], [2, 5], [4, 1], [10, 3]], 1/192000],
[[[1, 5], [2, 5], [4, 1], [14, 2]], 101/7225344],
[[[1, 5], [2, 5], [4, 3], [5, 2]], 23/737280],
[[[1, 5], [2, 5], [4, 3], [6, 4]], 1/15925248],
[[[1, 5], [2, 5], [4, 3], [8, 2]], 46181/23592960],
[[[1, 5], [2, 5], [4, 3], [10, 2]], 23/737280],
[[[1, 5], [2, 5], [4, 3], [12, 2]], 1/55296],
[[[1, 5], [2, 5], [4, 3], [16, 1]], 143/589824],
[[[1, 5], [2, 5], [4, 3], [20, 1]], 1/15360],
[[[1, 5], [2, 5], [4, 4], [6, 3]], 5/5308416],
[[[1, 5], [2, 5], [4, 4], [7, 1]], 415/4128768],
[[[1, 5], [2, 5], [4, 4], [14, 1]], 415/4128768],
[[[1, 5], [2, 5], [4, 5], [5, 1]], 97/1769472],
[[[1, 5], [2, 5], [4, 5], [6, 2]], 157/21233664],
[[[1, 5], [2, 5], [4, 5], [8, 1]], 100369/56623104],
[[[1, 5], [2, 5], [4, 5], [10, 1]], 97/1769472],
[[[1, 5], [2, 5], [4, 5], [12, 1]], 121/221184],
[[[1, 5], [2, 5], [4, 6], [6, 1]], 67/4718592],
[[[1, 5], [2, 5], [5, 2], [7, 1]], 1/268800],
[[[1, 5], [2, 5], [6, 1], [7, 2]], 1/75264],
[[[1, 5], [2, 5], [6, 1], [10, 3]], 1/576000],
[[[1, 5], [2, 5], [6, 1], [14, 2]], 1/129024],
[[[1, 5], [2, 5], [6, 3], [8, 2]], 1/221184],
[[[1, 5], [2, 5], [6, 3], [10, 2]], 7/1382400],
[[[1, 5], [2, 5], [6, 4], [14, 1]], 1/580608],
[[[1, 5], [2, 5], [6, 5], [8, 1]], 1/995328],
[[[1, 5], [2, 5], [6, 5], [10, 1]], 1/1244160],
[[[1, 5], [2, 5], [7, 1], [8, 2]], 1/57344],
[[[1, 5], [2, 5], [8, 2], [14, 1]], 1/57344],
[[[1, 5], [2, 5], [10, 2], [14, 1]], 1/268800],
[[[1, 5], [2, 7], [3, 1], [4, 5]], 9253/283115520],
[[[1, 5], [2, 7], [3, 1], [6, 5]], 53/2985984],
[[[1, 5], [2, 7], [3, 2], [4, 4]], 15349/1274019840],
[[[1, 5], [2, 7], [3, 2], [5, 2]], 1/2211840],
[[[1, 5], [2, 7], [3, 2], [6, 4]], 245/1492992],
[[[1, 5], [2, 7], [3, 2], [8, 2]], 83/53084160],
[[[1, 5], [2, 7], [3, 2], [10, 2]], 1/172800],
[[[1, 5], [2, 7], [3, 3], [4, 3]], 35/7962624],
[[[1, 5], [2, 7], [3, 3], [6, 3]], 23/124416],
[[[1, 5], [2, 7], [3, 3], [7, 1]], 1/4644864],
[[[1, 5], [2, 7], [3, 4], [4, 2]], 49/47775744],
[[[1, 5], [2, 7], [3, 4], [5, 1]], 1/9953280],
[[[1, 5], [2, 7], [3, 4], [6, 2]], 13/995328],
[[[1, 5], [2, 7], [3, 4], [8, 1]], 1/15925248],
[[[1, 5], [2, 7], [3, 5], [4, 1]], 1/11943936],
[[[1, 5], [2, 7], [3, 5], [6, 1]], 1/995328],
[[[1, 5], [2, 7], [4, 1], [6, 5]], 35/3981312],
[[[1, 5], [2, 7], [4, 2], [5, 2]], 1/172800],
[[[1, 5], [2, 7], [4, 2], [6, 4]], 1027/31850496],
[[[1, 5], [2, 7], [4, 2], [8, 2]], 34981/123863040],
[[[1, 5], [2, 7], [4, 2], [10, 2]], 3739/22118400],
[[[1, 5], [2, 7], [4, 2], [16, 1]], 257/8847360],
[[[1, 5], [2, 7], [4, 3], [6, 3]], 2011/31850496],
[[[1, 5], [2, 7], [4, 3], [7, 1]], 1817/49545216],
[[[1, 5], [2, 7], [4, 3], [14, 1]], 12581/82575360],
[[[1, 5], [2, 7], [4, 4], [5, 1]], 27691/1061683200],
[[[1, 5], [2, 7], [4, 4], [6, 2]], 22075/169869312],
[[[1, 5], [2, 7], [4, 4], [8, 1]], 1144751/1698693120],
[[[1, 5], [2, 7], [4, 4], [10, 1]], 26633/141557760],
[[[1, 5], [2, 7], [4, 4], [12, 1]], 1/16384],
[[[1, 5], [2, 7], [4, 5], [6, 1]], 151273/849346560],
[[[1, 5], [2, 7], [5, 1], [8, 2]], 233/44236800],
[[[1, 5], [2, 7], [5, 1], [10, 2]], 19/230400],
[[[1, 5], [2, 7], [5, 2], [8, 1]], 1/1228800],
[[[1, 5], [2, 7], [5, 2], [10, 1]], 77/1728000],
[[[1, 5], [2, 7], [6, 2], [8, 2]], 1/110592],
[[[1, 5], [2, 7], [6, 2], [10, 2]], 757/11059200],
[[[1, 5], [2, 7], [6, 3], [14, 1]], 109/4644864],
[[[1, 5], [2, 7], [6, 4], [8, 1]], 215/15925248],
[[[1, 5], [2, 7], [6, 4], [10, 1]], 47/1990656],
[[[1, 5], [2, 7], [7, 1], [14, 1]], 37/645120],
[[[1, 5], [2, 7], [8, 1], [10, 2]], 71/2211840],
[[[1, 5], [2, 7], [8, 2], [10, 1]], 1/122880],
[[[1, 5], [2, 9], [3, 1], [4, 4]], 205487/17836277760],
[[[1, 5], [2, 9], [3, 1], [5, 2]], 1/88473600],
[[[1, 5], [2, 9], [3, 1], [6, 4]], 3367/59719680],
[[[1, 5], [2, 9], [3, 1], [8, 2]], 43/185794560],
[[[1, 5], [2, 9], [3, 1], [10, 2]], 7/460800],
[[[1, 5], [2, 9], [3, 2], [4, 3]], 25/9437184],
[[[1, 5], [2, 9], [3, 2], [6, 3]], 2753/29859840],
[[[1, 5], [2, 9], [3, 2], [7, 1]], 1/148635648],
[[[1, 5], [2, 9], [3, 2], [14, 1]], 1/5806080],
[[[1, 5], [2, 9], [3, 3], [4, 2]], 19/63700992],
[[[1, 5], [2, 9], [3, 3], [5, 1]], 1/318504960],
[[[1, 5], [2, 9], [3, 3], [6, 2]], 47/4976640],
[[[1, 5], [2, 9], [3, 4], [4, 1]], 1/191102976],
[[[1, 5], [2, 9], [3, 4], [6, 1]], 1/7962624],
[[[1, 5], [2, 9], [4, 1], [5, 2]], 1/14745600],
[[[1, 5], [2, 9], [4, 1], [6, 4]], 4963/79626240],
[[[1, 5], [2, 9], [4, 1], [8, 2]], 307/41287680],
[[[1, 5], [2, 9], [4, 1], [10, 2]], 8309/82944000],
[[[1, 5], [2, 9], [4, 1], [16, 1]], 3/4587520],
[[[1, 5], [2, 9], [4, 2], [6, 3]], 48209/318504960],
[[[1, 5], [2, 9], [4, 2], [7, 1]], 29/11796480],
[[[1, 5], [2, 9], [4, 2], [14, 1]], 91093/1734082560],
[[[1, 5], [2, 9], [4, 3], [5, 1]], 9067/2477260800],
[[[1, 5], [2, 9], [4, 3], [6, 2]], 82567/424673280],
[[[1, 5], [2, 9], [4, 3], [8, 1]], 843823/7927234560],
[[[1, 5], [2, 9], [4, 3], [10, 1]], 14011/99090432],
[[[1, 5], [2, 9], [4, 3], [12, 1]], 113/23224320],
[[[1, 5], [2, 9], [4, 4], [6, 1]], 2399/21233664],
[[[1, 5], [2, 9], [5, 1], [7, 1]], 1/41287680],
[[[1, 5], [2, 9], [6, 1], [8, 2]], 7/4423680],
[[[1, 5], [2, 9], [6, 1], [10, 2]], 16703/221184000],
[[[1, 5], [2, 9], [6, 2], [14, 1]], 4093/123863040],
[[[1, 5], [2, 9], [6, 3], [8, 1]], 133/6635520],
[[[1, 5], [2, 9], [6, 3], [10, 1]], 6799/88473600],
[[[1, 5], [2, 9], [7, 1], [8, 1]], 1/16515072],
[[[1, 5], [2, 9], [8, 1], [14, 1]], 2489/867041280],
[[[1, 5], [2, 9], [10, 1], [14, 1]], 5581/309657600],
[[[1, 5], [2, 11], [3, 1], [4, 3]], 140669/71345111040],
[[[1, 5], [2, 11], [3, 1], [6, 3]], 376277/13377208320],
[[[1, 5], [2, 11], [3, 1], [14, 1]], 83/162570240],
[[[1, 5], [2, 11], [3, 2], [4, 2]], 4189/71345111040],
[[[1, 5], [2, 11], [3, 2], [6, 2]], 1235/254803968],
[[[1, 5], [2, 11], [3, 2], [10, 1]], 31/696729600],
[[[1, 5], [2, 11], [3, 3], [6, 1]], 131/8918138880],
[[[1, 5], [2, 11], [4, 1], [6, 3]], 1508137/22295347200],
[[[1, 5], [2, 11], [4, 1], [7, 1]], 101/4624220160],
[[[1, 5], [2, 11], [4, 1], [14, 1]], 46117/6936330240],
[[[1, 5], [2, 11], [4, 2], [5, 1]], 73/943718400],
[[[1, 5], [2, 11], [4, 2], [6, 2]], 1387237/14863564800],
[[[1, 5], [2, 11], [4, 2], [8, 1]], 98969/16986931200],
[[[1, 5], [2, 11], [4, 2], [10, 1]], 94699/2477260800],
[[[1, 5], [2, 11], [4, 2], [12, 1]], 1/23224320],
[[[1, 5], [2, 11], [4, 3], [6, 1]], 8823917/178362777600],
[[[1, 5], [2, 11], [5, 1], [10, 1]], 1/2150400],
[[[1, 5], [2, 11], [6, 1], [14, 1]], 2693/371589120],
[[[1, 5], [2, 11], [6, 2], [8, 1]], 117409/22295347200],
[[[1, 5], [2, 11], [6, 2], [10, 1]], 35897/796262400],
[[[1, 5], [2, 11], [8, 1], [10, 1]], 109/74317824],
[[[1, 5], [2, 13], [3, 1], [4, 2]], 1621/8360755200],
[[[1, 5], [2, 13], [3, 1], [6, 2]], 382147/133772083200],
[[[1, 5], [2, 13], [3, 1], [8, 1]], 43/22295347200],
[[[1, 5], [2, 13], [3, 1], [10, 1]], 137/696729600],
[[[1, 5], [2, 13], [3, 2], [4, 1]], 29/16721510400],
[[[1, 5], [2, 13], [3, 2], [6, 1]], 53/1194393600],
[[[1, 5], [2, 13], [4, 1], [6, 2]], 399727/25480396800],
[[[1, 5], [2, 13], [4, 1], [8, 1]], 4889/25480396800],
[[[1, 5], [2, 13], [4, 1], [10, 1]], 251923/63700992000],
[[[1, 5], [2, 13], [4, 2], [6, 1]], 1810801/178362777600],
[[[1, 5], [2, 13], [6, 1], [8, 1]], 27509/89181388800],
[[[1, 5], [2, 13], [6, 1], [10, 1]], 1233511/222953472000],
[[[1, 5], [2, 15], [3, 1], [4, 1]], 345091/29964946636800],
[[[1, 5], [2, 15], [3, 1], [6, 1]], 283037/4280706662400],
[[[1, 5], [2, 15], [4, 1], [6, 1]], 8954837/9988315545600],
[[[1, 6], [2, 2], [3, 2], [4, 6]], 35/14155776],
[[[1, 6], [2, 2], [3, 2], [5, 3]], 37/288000],
[[[1, 6], [2, 2], [3, 2], [7, 2]], 1/37632],
[[[1, 6], [2, 2], [3, 3], [4, 5]], 1/1769472],
[[[1, 6], [2, 2], [3, 4], [4, 4]], 1/10616832],
[[[1, 6], [2, 2], [3, 4], [5, 2]], 17/518400],
[[[1, 6], [2, 2], [3, 4], [8, 2]], 1/663552],
[[[1, 6], [2, 2], [4, 2], [5, 3]], 1/38400],
[[[1, 6], [2, 2], [4, 2], [7, 2]], 41/602112],
[[[1, 6], [2, 2], [4, 2], [8, 3]], 5/98304],
[[[1, 6], [2, 2], [4, 2], [14, 2]], 1/3612672],
[[[1, 6], [2, 2], [4, 4], [5, 2]], 11/2457600],
[[[1, 6], [2, 2], [4, 4], [8, 2]], 791/11796480],
[[[1, 6], [2, 2], [4, 4], [16, 1]], 1/98304],
[[[1, 6], [2, 2], [4, 5], [7, 1]], 1/458752],
[[[1, 6], [2, 2], [4, 6], [5, 1]], 11/11796480],
[[[1, 6], [2, 2], [4, 6], [8, 1]], 49/9437184],
[[[1, 6], [2, 2], [5, 1], [7, 2]], 1/26880],
[[[1, 6], [2, 2], [5, 2], [8, 2]], 1/460800],
[[[1, 6], [2, 2], [5, 3], [8, 1]], 1/24000],
[[[1, 6], [2, 2], [7, 2], [8, 1]], 1/150528],
[[[1, 6], [2, 4], [3, 1], [4, 6]], 7/131072],
[[[1, 6], [2, 4], [3, 1], [5, 3]], 19/432000],
[[[1, 6], [2, 4], [3, 1], [7, 2]], 13/602112],
[[[1, 6], [2, 4], [3, 1], [14, 2]], 1/903168],
[[[1, 6], [2, 4], [3, 2], [4, 5]], 373/14155776],
[[[1, 6], [2, 4], [3, 3], [4, 4]], 35/5308416],
[[[1, 6], [2, 4], [3, 3], [5, 2]], 43/921600],
[[[1, 6], [2, 4], [3, 3], [8, 2]], 5/663552],
[[[1, 6], [2, 4], [3, 4], [4, 3]], 1/497664],
[[[1, 6], [2, 4], [3, 4], [7, 1]], 5/580608],
[[[1, 6], [2, 4], [3, 5], [4, 2]], 1/3981312],
[[[1, 6], [2, 4], [3, 5], [5, 1]], 7/1244160],
[[[1, 6], [2, 4], [3, 5], [8, 1]], 1/248832],
[[[1, 6], [2, 4], [4, 1], [5, 3]], 19/288000],
[[[1, 6], [2, 4], [4, 1], [7, 2]], 67/1806336],
[[[1, 6], [2, 4], [4, 1], [8, 3]], 23/1474560],
[[[1, 6], [2, 4], [4, 1], [14, 2]], 1/401408],
[[[1, 6], [2, 4], [4, 3], [5, 2]], 83/921600],
[[[1, 6], [2, 4], [4, 3], [8, 2]], 2419/2621440],
[[[1, 6], [2, 4], [4, 3], [10, 2]], 1/307200],
[[[1, 6], [2, 4], [4, 3], [16, 1]], 3/32768],
[[[1, 6], [2, 4], [4, 4], [7, 1]], 4147/33030144],
[[[1, 6], [2, 4], [4, 4], [14, 1]], 347/16515072],
[[[1, 6], [2, 4], [4, 5], [5, 1]], 607/11796480],
[[[1, 6], [2, 4], [4, 5], [6, 2]], 7/21233664],
[[[1, 6], [2, 4], [4, 5], [8, 1]], 709/2359296],
[[[1, 6], [2, 4], [4, 5], [10, 1]], 5/1179648],
[[[1, 6], [2, 4], [4, 5], [12, 1]], 1/24576],
[[[1, 6], [2, 4], [4, 6], [6, 1]], 89/28311552],
[[[1, 6], [2, 4], [5, 2], [7, 1]], 1/20160],
[[[1, 6], [2, 4], [5, 3], [6, 1]], 1/24000],
[[[1, 6], [2, 4], [6, 1], [7, 2]], 1/64512],
[[[1, 6], [2, 4], [6, 1], [14, 2]], 1/1806336],
[[[1, 6], [2, 4], [6, 3], [10, 2]], 1/8294400],
[[[1, 6], [2, 4], [7, 1], [8, 2]], 1/172032],
[[[1, 6], [2, 4], [8, 2], [14, 1]], 5/688128],
[[[1, 6], [2, 6], [3, 1], [4, 5]], 5231/42467328],
[[[1, 6], [2, 6], [3, 1], [6, 5]], 5/746496],
[[[1, 6], [2, 6], [3, 2], [4, 4]], 631/9437184],
[[[1, 6], [2, 6], [3, 2], [5, 2]], 1/98304],
[[[1, 6], [2, 6], [3, 2], [6, 4]], 559/5971968],
[[[1, 6], [2, 6], [3, 2], [8, 2]], 29/3538944],
[[[1, 6], [2, 6], [3, 2], [10, 2]], 1/115200],
[[[1, 6], [2, 6], [3, 3], [4, 3]], 245/10616832],
[[[1, 6], [2, 6], [3, 3], [6, 3]], 23/62208],
[[[1, 6], [2, 6], [3, 3], [7, 1]], 1/172032],
[[[1, 6], [2, 6], [3, 4], [4, 2]], 1697/191102976],
[[[1, 6], [2, 6], [3, 4], [5, 1]], 1/248832],
[[[1, 6], [2, 6], [3, 4], [6, 2]], 559/5971968],
[[[1, 6], [2, 6], [3, 4], [8, 1]], 31/7962624],
[[[1, 6], [2, 6], [3, 5], [4, 1]], 11/5971968],
[[[1, 6], [2, 6], [3, 5], [6, 1]], 5/746496],
[[[1, 6], [2, 6], [4, 1], [6, 5]], 11/5971968],
[[[1, 6], [2, 6], [4, 2], [5, 2]], 7049/132710400],
[[[1, 6], [2, 6], [4, 2], [6, 4]], 1697/191102976],
[[[1, 6], [2, 6], [4, 2], [8, 2]], 671983/1415577600],
[[[1, 6], [2, 6], [4, 2], [10, 2]], 7049/132710400],
[[[1, 6], [2, 6], [4, 2], [16, 1]], 29/589824],
[[[1, 6], [2, 6], [4, 3], [6, 3]], 245/10616832],
[[[1, 6], [2, 6], [4, 3], [7, 1]], 311/2064384],
[[[1, 6], [2, 6], [4, 3], [14, 1]], 311/2064384],
[[[1, 6], [2, 6], [4, 4], [5, 1]], 14219/70778880],
[[[1, 6], [2, 6], [4, 4], [6, 2]], 631/9437184],
[[[1, 6], [2, 6], [4, 4], [8, 1]], 212533/141557760],
[[[1, 6], [2, 6], [4, 4], [10, 1]], 14219/70778880],
[[[1, 6], [2, 6], [4, 4], [12, 1]], 143/884736],
[[[1, 6], [2, 6], [4, 5], [6, 1]], 5231/42467328],
[[[1, 6], [2, 6], [5, 1], [8, 2]], 41/2949120],
[[[1, 6], [2, 6], [5, 1], [10, 2]], 7/57600],
[[[1, 6], [2, 6], [5, 2], [6, 2]], 1/115200],
[[[1, 6], [2, 6], [5, 2], [8, 1]], 1/73728],
[[[1, 6], [2, 6], [5, 2], [10, 1]], 7/57600],
[[[1, 6], [2, 6], [6, 2], [8, 2]], 29/3538944],
[[[1, 6], [2, 6], [6, 2], [10, 2]], 1/98304],
[[[1, 6], [2, 6], [6, 3], [14, 1]], 1/172032],
[[[1, 6], [2, 6], [6, 4], [8, 1]], 31/7962624],
[[[1, 6], [2, 6], [6, 4], [10, 1]], 1/248832],
[[[1, 6], [2, 6], [7, 1], [14, 1]], 32201/361267200],
[[[1, 6], [2, 6], [8, 1], [10, 2]], 1/73728],
[[[1, 6], [2, 6], [8, 2], [10, 1]], 41/2949120],
[[[1, 6], [2, 8], [3, 1], [4, 4]], 15762073/178362777600],
[[[1, 6], [2, 8], [3, 1], [5, 2]], 157/265420800],
[[[1, 6], [2, 8], [3, 1], [6, 4]], 5527/119439360],
[[[1, 6], [2, 8], [3, 1], [8, 2]], 8437/3715891200],
[[[1, 6], [2, 8], [3, 1], [10, 2]], 71/3317760],
[[[1, 6], [2, 8], [3, 2], [4, 3]], 10877/424673280],
[[[1, 6], [2, 8], [3, 2], [6, 3]], 2587/11943936],
[[[1, 6], [2, 8], [3, 2], [7, 1]], 97/148635648],
[[[1, 6], [2, 8], [3, 2], [14, 1]], 1/774144],
[[[1, 6], [2, 8], [3, 3], [4, 2]], 1231/191102976],
[[[1, 6], [2, 8], [3, 3], [5, 1]], 29/63700992],
[[[1, 6], [2, 8], [3, 3], [6, 2]], 2477/39813120],
[[[1, 6], [2, 8], [3, 3], [8, 1]], 1/2654208],
[[[1, 6], [2, 8], [3, 4], [4, 1]], 41/47775744],
[[[1, 6], [2, 8], [3, 4], [6, 1]], 85/23887872],
[[[1, 6], [2, 8], [4, 1], [5, 2]], 13/5529600],
[[[1, 6], [2, 8], [4, 1], [6, 4]], 4117/119439360],
[[[1, 6], [2, 8], [4, 1], [8, 2]], 29299/990904320],
[[[1, 6], [2, 8], [4, 1], [10, 2]], 827/11059200],
[[[1, 6], [2, 8], [4, 1], [16, 1]], 617/232243200],
[[[1, 6], [2, 8], [4, 2], [6, 3]], 20305/191102976],
[[[1, 6], [2, 8], [4, 2], [7, 1]], 4253/198180864],
[[[1, 6], [2, 8], [4, 2], [14, 1]], 326101/4161798144],
[[[1, 6], [2, 8], [4, 3], [5, 1]], 14659/353894400],
[[[1, 6], [2, 8], [4, 3], [6, 2]], 94397/424673280],
[[[1, 6], [2, 8], [4, 3], [8, 1]], 23198297/44590694400],
[[[1, 6], [2, 8], [4, 3], [10, 1]], 83731/353894400],
[[[1, 6], [2, 8], [4, 3], [12, 1]], 257/13271040],
[[[1, 6], [2, 8], [4, 4], [6, 1]], 42469/141557760],
[[[1, 6], [2, 8], [5, 1], [7, 1]], 17/24772608],
[[[1, 6], [2, 8], [5, 2], [6, 1]], 1/1843200],
[[[1, 6], [2, 8], [6, 1], [8, 2]], 37/7077888],
[[[1, 6], [2, 8], [6, 1], [10, 2]], 943/22118400],
[[[1, 6], [2, 8], [6, 2], [7, 1]], 1/860160],
[[[1, 6], [2, 8], [6, 2], [14, 1]], 1423/61931520],
[[[1, 6], [2, 8], [6, 3], [8, 1]], 43/2488320],
[[[1, 6], [2, 8], [6, 3], [10, 1]], 15269/398131200],
[[[1, 6], [2, 8], [7, 1], [8, 1]], 1/1032192],
[[[1, 6], [2, 8], [7, 1], [10, 1]], 1/1612800],
[[[1, 6], [2, 8], [8, 1], [14, 1]], 79/15482880],
[[[1, 6], [2, 8], [10, 1], [14, 1]], 493/30965760],
[[[1, 6], [2, 10], [3, 1], [4, 3]], 75317/4459069440],
[[[1, 6], [2, 10], [3, 1], [6, 3]], 113969/2229534720],
[[[1, 6], [2, 10], [3, 1], [7, 1]], 1/33030144],
[[[1, 6], [2, 10], [3, 1], [14, 1]], 2489/1300561920],
[[[1, 6], [2, 10], [3, 2], [4, 2]], 131161/71345111040],
[[[1, 6], [2, 10], [3, 2], [5, 1]], 1/53084160],
[[[1, 6], [2, 10], [3, 2], [6, 2]], 99347/3567255552],
[[[1, 6], [2, 10], [3, 2], [8, 1]], 1/84934656],
[[[1, 6], [2, 10], [3, 2], [10, 1]], 7/16588800],
[[[1, 6], [2, 10], [3, 3], [4, 1]], 7/84934656],
[[[1, 6], [2, 10], [3, 3], [6, 1]], 3107/4459069440],
[[[1, 6], [2, 10], [4, 1], [6, 3]], 211427/2675441664],
[[[1, 6], [2, 10], [4, 1], [7, 1]], 187/330301440],
[[[1, 6], [2, 10], [4, 1], [14, 1]], 146239/10404495360],
[[[1, 6], [2, 10], [4, 2], [5, 1]], 5989/2831155200],
[[[1, 6], [2, 10], [4, 2], [6, 2]], 27904897/178362777600],
[[[1, 6], [2, 10], [4, 2], [8, 1]], 401965/9512681472],
[[[1, 6], [2, 10], [4, 2], [10, 1]], 7653341/89181388800],
[[[1, 6], [2, 10], [4, 2], [12, 1]], 1/2293760],
[[[1, 6], [2, 10], [4, 3], [6, 1]], 411599/2972712960],
[[[1, 6], [2, 10], [5, 1], [8, 1]], 1/23592960],
[[[1, 6], [2, 10], [5, 1], [10, 1]], 27/5734400],
[[[1, 6], [2, 10], [6, 1], [7, 1]], 19/206438400],
[[[1, 6], [2, 10], [6, 1], [14, 1]], 19129/1734082560],
[[[1, 6], [2, 10], [6, 2], [8, 1]], 15259/1486356480],
[[[1, 6], [2, 10], [6, 2], [10, 1]], 9319/185794560],
[[[1, 6], [2, 10], [8, 1], [10, 1]], 2899/743178240],
[[[1, 6], [2, 12], [3, 1], [4, 2]], 539507/305764761600],
[[[1, 6], [2, 12], [3, 1], [5, 1]], 101/198180864000],
[[[1, 6], [2, 12], [3, 1], [6, 2]], 1277251/133772083200],
[[[1, 6], [2, 12], [3, 1], [8, 1]], 1/49545216],
[[[1, 6], [2, 12], [3, 1], [10, 1]], 109/111476736],
[[[1, 6], [2, 12], [3, 2], [4, 1]], 2351/71345111040],
[[[1, 6], [2, 12], [3, 2], [6, 1]], 117557/267544166400],
[[[1, 6], [2, 12], [4, 1], [5, 1]], 101/6606028800],
[[[1, 6], [2, 12], [4, 1], [6, 2]], 18967913/535088332800],
[[[1, 6], [2, 12], [4, 1], [8, 1]], 447431/356725555200],
[[[1, 6], [2, 12], [4, 1], [10, 1]], 1053839/89181388800],
[[[1, 6], [2, 12], [4, 2], [6, 1]], 35933729/1070176665600],
[[[1, 6], [2, 12], [6, 1], [8, 1]], 7297/6370099200],
[[[1, 6], [2, 12], [6, 1], [10, 1]], 1059013/89181388800],
[[[1, 6], [2, 14], [3, 1], [4, 1]], 58397/535088332800],
[[[1, 6], [2, 14], [3, 1], [6, 1]], 41401/107017666560],
[[[1, 6], [2, 14], [4, 1], [6, 1]], 1910789/535088332800],
[[[1, 6], [3, 1], [4, 2], [5, 3]], 1/144000],
[[[1, 6], [3, 1], [4, 2], [7, 2]], 1/150528],
[[[1, 6], [3, 1], [4, 4], [5, 2]], 1/1843200],
[[[1, 6], [3, 1], [4, 4], [8, 2]], 19/4423680],
[[[1, 6], [3, 1], [5, 1], [7, 2]], 1/23520],
[[[1, 6], [3, 2], [4, 4], [7, 1]], 1/1032192],
[[[1, 6], [3, 2], [5, 2], [7, 1]], 1/12600],
[[[1, 6], [3, 3], [4, 2], [5, 2]], 1/138240],
[[[1, 6], [3, 3], [4, 4], [5, 1]], 1/2211840],
[[[1, 6], [4, 1], [8, 2], [16, 1]], 1/491520],
[[[1, 6], [4, 2], [5, 2], [7, 1]], 1/67200],
[[[1, 6], [4, 4], [5, 1], [7, 1]], 1/860160],
[[[1, 7], [2, 1], [3, 2], [5, 3]], 1/9600],
[[[1, 7], [2, 1], [3, 2], [7, 2]], 1/56448],
[[[1, 7], [2, 1], [3, 3], [4, 5]], 1/1769472],
[[[1, 7], [2, 1], [3, 4], [4, 4]], 1/5308416],
[[[1, 7], [2, 1], [3, 4], [5, 2]], 1/28800],
[[[1, 7], [2, 1], [4, 2], [5, 3]], 1/96000],
[[[1, 7], [2, 1], [4, 2], [7, 2]], 1/602112],
[[[1, 7], [2, 1], [4, 2], [8, 3]], 7/3932160],
[[[1, 7], [2, 1], [4, 4], [5, 2]], 1/1228800],
[[[1, 7], [2, 1], [4, 4], [8, 2]], 47/8847360],
[[[1, 7], [2, 1], [4, 5], [7, 1]], 1/2752512],
[[[1, 7], [2, 1], [5, 1], [7, 2]], 1/94080],
[[[1, 7], [2, 1], [5, 3], [8, 1]], 1/144000],
[[[1, 7], [2, 1], [7, 2], [8, 1]], 1/3010560],
[[[1, 7], [2, 3], [3, 1], [4, 6]], 47/14155776],
[[[1, 7], [2, 3], [3, 1], [5, 3]], 13/96000],
[[[1, 7], [2, 3], [3, 1], [7, 2]], 11/451584],
[[[1, 7], [2, 3], [3, 2], [4, 5]], 379/14155776],
[[[1, 7], [2, 3], [3, 3], [4, 4]], 17/1179648],
[[[1, 7], [2, 3], [3, 3], [5, 2]], 83/691200],
[[[1, 7], [2, 3], [3, 3], [8, 2]], 11/3317760],
[[[1, 7], [2, 3], [3, 4], [4, 3]], 25/3981312],
[[[1, 7], [2, 3], [3, 4], [7, 1]], 5/290304],
[[[1, 7], [2, 3], [3, 5], [4, 2]], 1/995328],
[[[1, 7], [2, 3], [3, 5], [5, 1]], 1/69120],
[[[1, 7], [2, 3], [3, 5], [8, 1]], 1/165888],
[[[1, 7], [2, 3], [4, 1], [5, 3]], 149/864000],
[[[1, 7], [2, 3], [4, 1], [7, 2]], 1171/36126720],
[[[1, 7], [2, 3], [4, 1], [8, 3]], 263/41287680],
[[[1, 7], [2, 3], [4, 1], [14, 2]], 1/7225344],
[[[1, 7], [2, 3], [4, 3], [5, 2]], 1/17280],
[[[1, 7], [2, 3], [4, 3], [8, 2]], 1517/11796480],
[[[1, 7], [2, 3], [4, 3], [16, 1]], 1/65536],
[[[1, 7], [2, 3], [4, 4], [7, 1]], 67/2752512],
[[[1, 7], [2, 3], [4, 4], [14, 1]], 47/30965760],
[[[1, 7], [2, 3], [4, 5], [5, 1]], 61/3932160],
[[[1, 7], [2, 3], [4, 5], [8, 1]], 917/18874368],
[[[1, 7], [2, 3], [4, 5], [10, 1]], 1/1966080],
[[[1, 7], [2, 3], [4, 5], [12, 1]], 1/147456],
[[[1, 7], [2, 3], [5, 2], [7, 1]], 11/134400],
[[[1, 7], [2, 3], [5, 3], [6, 1]], 1/36000],
[[[1, 7], [2, 3], [6, 1], [7, 2]], 1/225792],
[[[1, 7], [2, 3], [7, 1], [8, 2]], 1/2580480],
[[[1, 7], [2, 3], [8, 2], [14, 1]], 1/1290240],
[[[1, 7], [2, 5], [3, 1], [4, 5]], 151273/849346560],
[[[1, 7], [2, 5], [3, 1], [6, 5]], 1/995328],
[[[1, 7], [2, 5], [3, 2], [4, 4]], 22075/169869312],
[[[1, 7], [2, 5], [3, 2], [5, 2]], 757/11059200],
[[[1, 7], [2, 5], [3, 2], [6, 4]], 13/995328],
[[[1, 7], [2, 5], [3, 2], [8, 2]], 1/110592],
[[[1, 7], [2, 5], [3, 3], [4, 3]], 2011/31850496],
[[[1, 7], [2, 5], [3, 3], [6, 3]], 23/124416],
[[[1, 7], [2, 5], [3, 3], [7, 1]], 109/4644864],
[[[1, 7], [2, 5], [3, 4], [4, 2]], 1027/31850496],
[[[1, 7], [2, 5], [3, 4], [5, 1]], 47/1990656],
[[[1, 7], [2, 5], [3, 4], [6, 2]], 245/1492992],
[[[1, 7], [2, 5], [3, 4], [8, 1]], 215/15925248],
[[[1, 7], [2, 5], [3, 5], [4, 1]], 35/3981312],
[[[1, 7], [2, 5], [3, 5], [6, 1]], 53/2985984],
[[[1, 7], [2, 5], [4, 1], [6, 5]], 1/11943936],
[[[1, 7], [2, 5], [4, 2], [5, 2]], 3739/22118400],
[[[1, 7], [2, 5], [4, 2], [6, 4]], 49/47775744],
[[[1, 7], [2, 5], [4, 2], [8, 2]], 34981/123863040],
[[[1, 7], [2, 5], [4, 2], [10, 2]], 1/172800],
[[[1, 7], [2, 5], [4, 2], [16, 1]], 257/8847360],
[[[1, 7], [2, 5], [4, 3], [6, 3]], 35/7962624],
[[[1, 7], [2, 5], [4, 3], [7, 1]], 12581/82575360],
[[[1, 7], [2, 5], [4, 3], [14, 1]], 1817/49545216],
[[[1, 7], [2, 5], [4, 4], [5, 1]], 26633/141557760],
[[[1, 7], [2, 5], [4, 4], [6, 2]], 15349/1274019840],
[[[1, 7], [2, 5], [4, 4], [8, 1]], 1144751/1698693120],
[[[1, 7], [2, 5], [4, 4], [10, 1]], 27691/1061683200],
[[[1, 7], [2, 5], [4, 4], [12, 1]], 1/16384],
[[[1, 7], [2, 5], [4, 5], [6, 1]], 9253/283115520],
[[[1, 7], [2, 5], [5, 1], [8, 2]], 1/122880],
[[[1, 7], [2, 5], [5, 1], [10, 2]], 77/1728000],
[[[1, 7], [2, 5], [5, 2], [6, 2]], 1/172800],
[[[1, 7], [2, 5], [5, 2], [8, 1]], 71/2211840],
[[[1, 7], [2, 5], [5, 2], [10, 1]], 19/230400],
[[[1, 7], [2, 5], [6, 2], [8, 2]], 83/53084160],
[[[1, 7], [2, 5], [6, 2], [10, 2]], 1/2211840],
[[[1, 7], [2, 5], [6, 3], [14, 1]], 1/4644864],
[[[1, 7], [2, 5], [6, 4], [8, 1]], 1/15925248],
[[[1, 7], [2, 5], [6, 4], [10, 1]], 1/9953280],
[[[1, 7], [2, 5], [7, 1], [14, 1]], 37/645120],
[[[1, 7], [2, 5], [8, 1], [10, 2]], 1/1228800],
[[[1, 7], [2, 5], [8, 2], [10, 1]], 233/44236800],
[[[1, 7], [2, 7], [3, 1], [4, 4]], 1678223/6370099200],
[[[1, 7], [2, 7], [3, 1], [5, 2]], 197/22118400],
[[[1, 7], [2, 7], [3, 1], [6, 4]], 235/11943936],
[[[1, 7], [2, 7], [3, 1], [8, 2]], 1729/265420800],
[[[1, 7], [2, 7], [3, 1], [10, 2]], 1/110592],
[[[1, 7], [2, 7], [3, 2], [4, 3]], 50779/424673280],
[[[1, 7], [2, 7], [3, 2], [6, 3]], 257/1327104],
[[[1, 7], [2, 7], [3, 2], [7, 1]], 13/1769472],
[[[1, 7], [2, 7], [3, 2], [14, 1]], 1/322560],
[[[1, 7], [2, 7], [3, 3], [4, 2]], 36187/955514880],
[[[1, 7], [2, 7], [3, 3], [5, 1]], 649/79626240],
[[[1, 7], [2, 7], [3, 3], [6, 2]], 257/1327104],
[[[1, 7], [2, 7], [3, 3], [8, 1]], 49/7962624],
[[[1, 7], [2, 7], [3, 4], [4, 1]], 877/95551488],
[[[1, 7], [2, 7], [3, 4], [6, 1]], 235/11943936],
[[[1, 7], [2, 7], [4, 1], [5, 2]], 1523/66355200],
[[[1, 7], [2, 7], [4, 1], [6, 4]], 877/95551488],
[[[1, 7], [2, 7], [4, 1], [8, 2]], 3599/70778880],
[[[1, 7], [2, 7], [4, 1], [10, 2]], 1523/66355200],
[[[1, 7], [2, 7], [4, 1], [16, 1]], 23231/5202247680],
[[[1, 7], [2, 7], [4, 2], [6, 3]], 36187/955514880],
[[[1, 7], [2, 7], [4, 2], [7, 1]], 54407/743178240],
[[[1, 7], [2, 7], [4, 2], [14, 1]], 54407/743178240],
[[[1, 7], [2, 7], [4, 3], [5, 1]], 223447/1061683200],
[[[1, 7], [2, 7], [4, 3], [6, 2]], 50779/424673280],
[[[1, 7], [2, 7], [4, 3], [8, 1]], 1058534521/1248539443200],
[[[1, 7], [2, 7], [4, 3], [10, 1]], 223447/1061683200],
[[[1, 7], [2, 7], [4, 3], [12, 1]], 29/884736],
[[[1, 7], [2, 7], [4, 4], [6, 1]], 1678223/6370099200],
[[[1, 7], [2, 7], [5, 1], [7, 1]], 61/10321920],
[[[1, 7], [2, 7], [5, 1], [14, 1]], 1/537600],
[[[1, 7], [2, 7], [5, 2], [6, 1]], 1/110592],
[[[1, 7], [2, 7], [6, 1], [8, 2]], 1729/265420800],
[[[1, 7], [2, 7], [6, 1], [10, 2]], 197/22118400],
[[[1, 7], [2, 7], [6, 2], [7, 1]], 1/322560],
[[[1, 7], [2, 7], [6, 2], [14, 1]], 13/1769472],
[[[1, 7], [2, 7], [6, 3], [8, 1]], 49/7962624],
[[[1, 7], [2, 7], [6, 3], [10, 1]], 649/79626240],
[[[1, 7], [2, 7], [7, 1], [8, 1]], 1/258048],
[[[1, 7], [2, 7], [7, 1], [10, 1]], 1/537600],
[[[1, 7], [2, 7], [8, 1], [14, 1]], 1/258048],
[[[1, 7], [2, 7], [10, 1], [14, 1]], 61/10321920],
[[[1, 7], [2, 9], [3, 1], [4, 3]], 722771/8493465600],
[[[1, 7], [2, 9], [3, 1], [6, 3]], 21127/382205952],
[[[1, 7], [2, 9], [3, 1], [7, 1]], 13/21233664],
[[[1, 7], [2, 9], [3, 1], [14, 1]], 79/23224320],
[[[1, 7], [2, 9], [3, 2], [4, 2]], 90133/5096079360],
[[[1, 7], [2, 9], [3, 2], [5, 1]], 1/1310720],
[[[1, 7], [2, 9], [3, 2], [6, 2]], 6199/70778880],
[[[1, 7], [2, 9], [3, 2], [8, 1]], 53/84934656],
[[[1, 7], [2, 9], [3, 2], [10, 1]], 1/614400],
[[[1, 7], [2, 9], [3, 3], [4, 1]], 1871/764411904],
[[[1, 7], [2, 9], [3, 3], [6, 1]], 9529/1274019840],
[[[1, 7], [2, 9], [4, 1], [6, 3]], 3245/63700992],
[[[1, 7], [2, 9], [4, 1], [7, 1]], 1031/220200960],
[[[1, 7], [2, 9], [4, 1], [14, 1]], 70913/4161798144],
[[[1, 7], [2, 9], [4, 2], [5, 1]], 3413/157286400],
[[[1, 7], [2, 9], [4, 2], [6, 2]], 5282959/35672555520],
[[[1, 7], [2, 9], [4, 2], [8, 1]], 35508859/237817036800],
[[[1, 7], [2, 9], [4, 2], [10, 1]], 10023047/89181388800],
[[[1, 7], [2, 9], [4, 2], [12, 1]], 617/348364800],
[[[1, 7], [2, 9], [4, 3], [6, 1]], 1157435/4756340736],
[[[1, 7], [2, 9], [5, 1], [6, 2]], 1/1228800],
[[[1, 7], [2, 9], [5, 1], [8, 1]], 13/17694720],
[[[1, 7], [2, 9], [5, 1], [10, 1]], 1049/58060800],
[[[1, 7], [2, 9], [6, 1], [7, 1]], 1/860160],
[[[1, 7], [2, 9], [6, 1], [14, 1]], 191/20643840],
[[[1, 7], [2, 9], [6, 2], [8, 1]], 137/13271040],
[[[1, 7], [2, 9], [6, 2], [10, 1]], 787/26542080],
[[[1, 7], [2, 9], [8, 1], [10, 1]], 377/68812800],
[[[1, 7], [2, 11], [3, 1], [4, 2]], 685969/71345111040],
[[[1, 7], [2, 11], [3, 1], [5, 1]], 251/7077888000],
[[[1, 7], [2, 11], [3, 1], [6, 2]], 934219/44590694400],
[[[1, 7], [2, 11], [3, 1], [8, 1]], 1607/11890851840],
[[[1, 7], [2, 11], [3, 1], [10, 1]], 2899/1114767360],
[[[1, 7], [2, 11], [3, 2], [4, 1]], 36857/71345111040],
[[[1, 7], [2, 11], [3, 2], [6, 1]], 249589/89181388800],
[[[1, 7], [2, 11], [4, 1], [5, 1]], 44017/99090432000],
[[[1, 7], [2, 11], [4, 1], [6, 2]], 25475903/535088332800],
[[[1, 7], [2, 11], [4, 1], [8, 1]], 109625/19025362944],
[[[1, 7], [2, 11], [4, 1], [10, 1]], 1817353/89181388800],
[[[1, 7], [2, 11], [4, 2], [6, 1]], 17939209/267544166400],
[[[1, 7], [2, 11], [5, 1], [6, 1]], 19/294912000],
[[[1, 7], [2, 11], [6, 1], [8, 1]], 1381/557383680],
[[[1, 7], [2, 11], [6, 1], [10, 1]], 669041/44590694400],
[[[1, 7], [2, 13], [3, 1], [4, 1]], 515071/856141332480],
[[[1, 7], [2, 13], [3, 1], [6, 1]], 863113/611529523200],
[[[1, 7], [2, 13], [4, 1], [6, 1]], 37234847/4280706662400],
[[[1, 8], [2, 2], [3, 1], [4, 6]], 71/141557760],
[[[1, 8], [2, 2], [3, 1], [5, 3]], 1/9000],
[[[1, 8], [2, 2], [3, 1], [7, 2]], 37/3010560],
[[[1, 8], [2, 2], [3, 2], [4, 5]], 5/4718592],
[[[1, 8], [2, 2], [3, 3], [4, 4]], 95/10616832],
[[[1, 8], [2, 2], [3, 3], [5, 2]], 5063/41472000],
[[[1, 8], [2, 2], [3, 3], [8, 2]], 1/3317760],
[[[1, 8], [2, 2], [3, 4], [4, 3]], 1/147456],
[[[1, 8], [2, 2], [3, 4], [7, 1]], 5/290304],
[[[1, 8], [2, 2], [3, 5], [4, 2]], 1/663552],
[[[1, 8], [2, 2], [3, 5], [5, 1]], 11/622080],
[[[1, 8], [2, 2], [3, 5], [8, 1]], 1/248832],
[[[1, 8], [2, 2], [4, 1], [5, 3]], 1/11520],
[[[1, 8], [2, 2], [4, 1], [7, 2]], 17/2007040],
[[[1, 8], [2, 2], [4, 1], [8, 3]], 1/1474560],
[[[1, 8], [2, 2], [4, 3], [5, 2]], 17/921600],
[[[1, 8], [2, 2], [4, 3], [8, 2]], 1331/165150720],
[[[1, 8], [2, 2], [4, 3], [16, 1]], 1/1474560],
[[[1, 8], [2, 2], [4, 4], [7, 1]], 53/13762560],
[[[1, 8], [2, 2], [4, 4], [14, 1]], 107/867041280],
[[[1, 8], [2, 2], [4, 5], [5, 1]], 1/1310720],
[[[1, 8], [2, 2], [4, 5], [8, 1]], 61/35389440],
[[[1, 8], [2, 2], [5, 2], [7, 1]], 1/25200],
[[[1, 8], [2, 2], [5, 3], [6, 1]], 1/216000],
[[[1, 8], [2, 2], [6, 1], [7, 2]], 1/4515840],
[[[1, 8], [2, 2], [7, 1], [8, 2]], 1/72253440],
[[[1, 8], [2, 2], [8, 2], [14, 1]], 1/36126720],
[[[1, 8], [2, 4], [3, 1], [4, 5]], 611/17694720],
[[[1, 8], [2, 4], [3, 2], [4, 4]], 16919/169869312],
[[[1, 8], [2, 4], [3, 2], [5, 2]], 33401/221184000],
[[[1, 8], [2, 4], [3, 2], [6, 4]], 1/663552],
[[[1, 8], [2, 4], [3, 2], [8, 2]], 7/2211840],
[[[1, 8], [2, 4], [3, 3], [4, 3]], 6791/79626240],
[[[1, 8], [2, 4], [3, 3], [6, 3]], 1/41472],
[[[1, 8], [2, 4], [3, 3], [7, 1]], 313/7741440],
[[[1, 8], [2, 4], [3, 4], [4, 2]], 1171/21233664],
[[[1, 8], [2, 4], [3, 4], [5, 1]], 1357/24883200],
[[[1, 8], [2, 4], [3, 4], [6, 2]], 559/5971968],
[[[1, 8], [2, 4], [3, 4], [8, 1]], 359/19906560],
[[[1, 8], [2, 4], [3, 5], [4, 1]], 55/2985984],
[[[1, 8], [2, 4], [3, 5], [6, 1]], 1/41472],
[[[1, 8], [2, 4], [4, 2], [5, 2]], 9781/44236800],
[[[1, 8], [2, 4], [4, 2], [6, 4]], 1/95551488],
[[[1, 8], [2, 4], [4, 2], [8, 2]], 4691/66060288],
[[[1, 8], [2, 4], [4, 2], [10, 2]], 1/7372800],
[[[1, 8], [2, 4], [4, 2], [16, 1]], 113/15482880],
[[[1, 8], [2, 4], [4, 3], [6, 3]], 1/3981312],
[[[1, 8], [2, 4], [4, 3], [7, 1]], 9461/123863040],
[[[1, 8], [2, 4], [4, 3], [14, 1]], 7/1966080],
[[[1, 8], [2, 4], [4, 4], [5, 1]], 45893/707788800],
[[[1, 8], [2, 4], [4, 4], [6, 2]], 2867/2229534720],
[[[1, 8], [2, 4], [4, 4], [8, 1]], 47879/424673280],
[[[1, 8], [2, 4], [4, 4], [10, 1]], 17119/7431782400],
[[[1, 8], [2, 4], [4, 4], [12, 1]], 1/98304],
[[[1, 8], [2, 4], [4, 5], [6, 1]], 277/106168320],
[[[1, 8], [2, 4], [5, 1], [8, 2]], 1/614400],
[[[1, 8], [2, 4], [5, 1], [10, 2]], 53/12096000],
[[[1, 8], [2, 4], [5, 2], [6, 2]], 1/1036800],
[[[1, 8], [2, 4], [5, 2], [8, 1]], 7/307200],
[[[1, 8], [2, 4], [5, 2], [10, 1]], 1/115200],
[[[1, 8], [2, 4], [6, 2], [8, 2]], 29/185794560],
[[[1, 8], [2, 4], [6, 2], [10, 2]], 1/265420800],
[[[1, 8], [2, 4], [7, 1], [14, 1]], 9/573440],
[[[1, 8], [2, 4], [8, 2], [10, 1]], 17/30965760],
[[[1, 8], [2, 6], [3, 1], [4, 4]], 42469/141557760],
[[[1, 8], [2, 6], [3, 1], [5, 2]], 943/22118400],
[[[1, 8], [2, 6], [3, 1], [6, 4]], 85/23887872],
[[[1, 8], [2, 6], [3, 1], [8, 2]], 37/7077888],
[[[1, 8], [2, 6], [3, 1], [10, 2]], 1/1843200],
[[[1, 8], [2, 6], [3, 2], [4, 3]], 94397/424673280],
[[[1, 8], [2, 6], [3, 2], [6, 3]], 2477/39813120],
[[[1, 8], [2, 6], [3, 2], [7, 1]], 1423/61931520],
[[[1, 8], [2, 6], [3, 2], [14, 1]], 1/860160],
[[[1, 8], [2, 6], [3, 3], [4, 2]], 20305/191102976],
[[[1, 8], [2, 6], [3, 3], [5, 1]], 15269/398131200],
[[[1, 8], [2, 6], [3, 3], [6, 2]], 2587/11943936],
[[[1, 8], [2, 6], [3, 3], [8, 1]], 43/2488320],
[[[1, 8], [2, 6], [3, 4], [4, 1]], 4117/119439360],
[[[1, 8], [2, 6], [3, 4], [6, 1]], 5527/119439360],
[[[1, 8], [2, 6], [4, 1], [5, 2]], 827/11059200],
[[[1, 8], [2, 6], [4, 1], [6, 4]], 41/47775744],
[[[1, 8], [2, 6], [4, 1], [8, 2]], 29299/990904320],
[[[1, 8], [2, 6], [4, 1], [10, 2]], 13/5529600],
[[[1, 8], [2, 6], [4, 1], [16, 1]], 617/232243200],
[[[1, 8], [2, 6], [4, 2], [6, 3]], 1231/191102976],
[[[1, 8], [2, 6], [4, 2], [7, 1]], 326101/4161798144],
[[[1, 8], [2, 6], [4, 2], [14, 1]], 4253/198180864],
[[[1, 8], [2, 6], [4, 3], [5, 1]], 83731/353894400],
[[[1, 8], [2, 6], [4, 3], [6, 2]], 10877/424673280],
[[[1, 8], [2, 6], [4, 3], [8, 1]], 23198297/44590694400],
[[[1, 8], [2, 6], [4, 3], [10, 1]], 14659/353894400],
[[[1, 8], [2, 6], [4, 3], [12, 1]], 257/13271040],
[[[1, 8], [2, 6], [4, 4], [6, 1]], 15762073/178362777600],
[[[1, 8], [2, 6], [5, 1], [7, 1]], 493/30965760],
[[[1, 8], [2, 6], [5, 1], [14, 1]], 1/1612800],
[[[1, 8], [2, 6], [5, 2], [6, 1]], 71/3317760],
[[[1, 8], [2, 6], [6, 1], [8, 2]], 8437/3715891200],
[[[1, 8], [2, 6], [6, 1], [10, 2]], 157/265420800],
[[[1, 8], [2, 6], [6, 2], [7, 1]], 1/774144],
[[[1, 8], [2, 6], [6, 2], [14, 1]], 97/148635648],
[[[1, 8], [2, 6], [6, 3], [8, 1]], 1/2654208],
[[[1, 8], [2, 6], [6, 3], [10, 1]], 29/63700992],
[[[1, 8], [2, 6], [7, 1], [8, 1]], 79/15482880],
[[[1, 8], [2, 6], [8, 1], [14, 1]], 1/1032192],
[[[1, 8], [2, 6], [10, 1], [14, 1]], 17/24772608],
[[[1, 8], [2, 8], [3, 1], [4, 3]], 75467/353894400],
[[[1, 8], [2, 8], [3, 1], [6, 3]], 14947/477757440],
[[[1, 8], [2, 8], [3, 1], [7, 1]], 5731/1486356480],
[[[1, 8], [2, 8], [3, 1], [14, 1]], 13/3870720],
[[[1, 8], [2, 8], [3, 2], [4, 2]], 77437/1019215872],
[[[1, 8], [2, 8], [3, 2], [5, 1]], 179/22118400],
[[[1, 8], [2, 8], [3, 2], [6, 2]], 144929/1061683200],
[[[1, 8], [2, 8], [3, 2], [8, 1]], 25/5308416],
[[[1, 8], [2, 8], [3, 2], [10, 1]], 1/409600],
[[[1, 8], [2, 8], [3, 3], [4, 1]], 16211/955514880],
[[[1, 8], [2, 8], [3, 3], [6, 1]], 14947/477757440],
[[[1, 8], [2, 8], [4, 1], [6, 3]], 16211/955514880],
[[[1, 8], [2, 8], [4, 1], [7, 1]], 2063/148635648],
[[[1, 8], [2, 8], [4, 1], [14, 1]], 2063/148635648],
[[[1, 8], [2, 8], [4, 2], [5, 1]], 142451/1651507200],
[[[1, 8], [2, 8], [4, 2], [6, 2]], 77437/1019215872],
[[[1, 8], [2, 8], [4, 2], [8, 1]], 92350339/416179814400],
[[[1, 8], [2, 8], [4, 2], [10, 1]], 142451/1651507200],
[[[1, 8], [2, 8], [4, 2], [12, 1]], 23231/7803371520],
[[[1, 8], [2, 8], [4, 3], [6, 1]], 75467/353894400],
[[[1, 8], [2, 8], [5, 1], [6, 2]], 1/409600],
[[[1, 8], [2, 8], [5, 1], [8, 1]], 29/8847360],
[[[1, 8], [2, 8], [5, 1], [10, 1]], 37739/1300561920],
[[[1, 8], [2, 8], [6, 1], [7, 1]], 13/3870720],
[[[1, 8], [2, 8], [6, 1], [14, 1]], 5731/1486356480],
[[[1, 8], [2, 8], [6, 2], [8, 1]], 25/5308416],
[[[1, 8], [2, 8], [6, 2], [10, 1]], 179/22118400],
[[[1, 8], [2, 8], [8, 1], [10, 1]], 29/8847360],
[[[1, 8], [2, 10], [3, 1], [4, 2]], 12090749/356725555200],
[[[1, 8], [2, 10], [3, 1], [5, 1]], 5119/8493465600],
[[[1, 8], [2, 10], [3, 1], [6, 2]], 276767/8918138880],
[[[1, 8], [2, 10], [3, 1], [8, 1]], 191/283115520],
[[[1, 8], [2, 10], [3, 1], [10, 1]], 1171/309657600],
[[[1, 8], [2, 10], [3, 2], [4, 1]], 45049/10192158720],
[[[1, 8], [2, 10], [3, 2], [6, 1]], 16153/1415577600],
[[[1, 8], [2, 10], [4, 1], [5, 1]], 11897/2831155200],
[[[1, 8], [2, 10], [4, 1], [6, 2]], 1376579/35672555520],
[[[1, 8], [2, 10], [4, 1], [8, 1]], 377119/23781703680],
[[[1, 8], [2, 10], [4, 1], [10, 1]], 1948267/89181388800],
[[[1, 8], [2, 10], [4, 2], [6, 1]], 7794673/85614133248],
[[[1, 8], [2, 10], [5, 1], [6, 1]], 1417/1548288000],
[[[1, 8], [2, 10], [6, 1], [8, 1]], 4513/1486356480],
[[[1, 8], [2, 10], [6, 1], [10, 1]], 1275989/118908518400],
[[[1, 8], [2, 12], [3, 1], [4, 1]], 253387/118908518400],
[[[1, 8], [2, 12], [3, 1], [6, 1]], 7558813/2140353331200],
[[[1, 8], [2, 12], [4, 1], [6, 1]], 2933239/214035333120],
[[[1, 8], [3, 1], [4, 4], [7, 1]], 1/10321920],
[[[1, 8], [3, 1], [5, 2], [7, 1]], 7/288000],
[[[1, 8], [3, 2], [4, 2], [5, 2]], 91/18432000],
[[[1, 8], [3, 2], [4, 4], [5, 1]], 1/3686400],
[[[1, 8], [3, 3], [4, 2], [7, 1]], 1/387072],
[[[1, 8], [3, 3], [5, 1], [7, 1]], 1/48384],
[[[1, 8], [3, 4], [4, 2], [5, 1]], 1/414720],
[[[1, 8], [4, 2], [8, 1], [16, 1]], 11/41287680],
[[[1, 8], [4, 2], [8, 2], [12, 1]], 1/15482880],
[[[1, 9], [2, 1], [3, 1], [5, 3]], 97/2880000],
[[[1, 9], [2, 1], [3, 1], [7, 2]], 11/4515840],
[[[1, 9], [2, 1], [3, 2], [4, 5]], 1/7864320],
[[[1, 9], [2, 1], [3, 3], [4, 4]], 11/53084160],
[[[1, 9], [2, 1], [3, 3], [5, 2]], 347/6912000],
[[[1, 9], [2, 1], [3, 4], [4, 3]], 13/5308416],
[[[1, 9], [2, 1], [3, 4], [7, 1]], 5/580608],
[[[1, 9], [2, 1], [3, 5], [4, 2]], 1/995328],
[[[1, 9], [2, 1], [3, 5], [5, 1]], 13/1244160],
[[[1, 9], [2, 1], [3, 5], [8, 1]], 1/995328],
[[[1, 9], [2, 1], [4, 1], [5, 3]], 7/576000],
[[[1, 9], [2, 1], [4, 1], [7, 2]], 1/2408448],
[[[1, 9], [2, 1], [4, 1], [8, 3]], 1/41287680],
[[[1, 9], [2, 1], [4, 3], [5, 2]], 1/409600],
[[[1, 9], [2, 1], [4, 3], [8, 2]], 13/66060288],
[[[1, 9], [2, 1], [4, 3], [16, 1]], 1/41287680],
[[[1, 9], [2, 1], [4, 4], [7, 1]], 1/41287680],
[[[1, 9], [2, 1], [4, 5], [5, 1]], 1/11796480],
[[[1, 9], [2, 1], [4, 5], [8, 1]], 439/3963617280],
[[[1, 9], [2, 1], [5, 2], [7, 1]], 3/448000],
[[[1, 9], [2, 3], [3, 1], [4, 5]], 1403/283115520],
[[[1, 9], [2, 3], [3, 2], [4, 4]], 77/4423680],
[[[1, 9], [2, 3], [3, 2], [5, 2]], 311/2211840],
[[[1, 9], [2, 3], [3, 2], [8, 2]], 47/123863040],
[[[1, 9], [2, 3], [3, 3], [4, 3]], 3709/79626240],
[[[1, 9], [2, 3], [3, 3], [7, 1]], 827/23224320],
[[[1, 9], [2, 3], [3, 4], [4, 2]], 1777/39813120],
[[[1, 9], [2, 3], [3, 4], [5, 1]], 1021/16588800],
[[[1, 9], [2, 3], [3, 4], [6, 2]], 13/995328],
[[[1, 9], [2, 3], [3, 4], [8, 1]], 293/26542080],
[[[1, 9], [2, 3], [3, 5], [4, 1]], 235/11943936],
[[[1, 9], [2, 3], [3, 5], [6, 1]], 53/2985984],
[[[1, 9], [2, 3], [4, 2], [5, 2]], 539/6144000],
[[[1, 9], [2, 3], [4, 2], [8, 2]], 17/2752512],
[[[1, 9], [2, 3], [4, 2], [16, 1]], 1/1376256],
[[[1, 9], [2, 3], [4, 3], [7, 1]], 23437/1734082560],
[[[1, 9], [2, 3], [4, 3], [14, 1]], 121/578027520],
[[[1, 9], [2, 3], [4, 4], [5, 1]], 103/9830400],
[[[1, 9], [2, 3], [4, 4], [6, 2]], 107/4459069440],
[[[1, 9], [2, 3], [4, 4], [8, 1]], 7891/1321205760],
[[[1, 9], [2, 3], [4, 4], [10, 1]], 107/1238630400],
[[[1, 9], [2, 3], [4, 4], [12, 1]], 1/2211840],
[[[1, 9], [2, 3], [4, 5], [6, 1]], 53/212336640],
[[[1, 9], [2, 3], [5, 1], [8, 2]], 31/309657600],
[[[1, 9], [2, 3], [5, 1], [10, 2]], 1/8064000],
[[[1, 9], [2, 3], [5, 2], [8, 1]], 367/55296000],
[[[1, 9], [2, 3], [6, 2], [8, 2]], 1/185794560],
[[[1, 9], [2, 3], [7, 1], [14, 1]], 1/645120],
[[[1, 9], [2, 3], [8, 2], [10, 1]], 1/51609600],
[[[1, 9], [2, 5], [3, 1], [4, 4]], 2399/21233664],
[[[1, 9], [2, 5], [3, 1], [5, 2]], 16703/221184000],
[[[1, 9], [2, 5], [3, 1], [6, 4]], 1/7962624],
[[[1, 9], [2, 5], [3, 1], [8, 2]], 7/4423680],
[[[1, 9], [2, 5], [3, 2], [4, 3]], 82567/424673280],
[[[1, 9], [2, 5], [3, 2], [6, 3]], 47/4976640],
[[[1, 9], [2, 5], [3, 2], [7, 1]], 4093/123863040],
[[[1, 9], [2, 5], [3, 3], [4, 2]], 48209/318504960],
[[[1, 9], [2, 5], [3, 3], [5, 1]], 6799/88473600],
[[[1, 9], [2, 5], [3, 3], [6, 2]], 2753/29859840],
[[[1, 9], [2, 5], [3, 3], [8, 1]], 133/6635520],
[[[1, 9], [2, 5], [3, 4], [4, 1]], 4963/79626240],
[[[1, 9], [2, 5], [3, 4], [6, 1]], 3367/59719680],
[[[1, 9], [2, 5], [4, 1], [5, 2]], 8309/82944000],
[[[1, 9], [2, 5], [4, 1], [6, 4]], 1/191102976],
[[[1, 9], [2, 5], [4, 1], [8, 2]], 307/41287680],
[[[1, 9], [2, 5], [4, 1], [10, 2]], 1/14745600],
[[[1, 9], [2, 5], [4, 1], [16, 1]], 3/4587520],
[[[1, 9], [2, 5], [4, 2], [6, 3]], 19/63700992],
[[[1, 9], [2, 5], [4, 2], [7, 1]], 91093/1734082560],
[[[1, 9], [2, 5], [4, 2], [14, 1]], 29/11796480],
[[[1, 9], [2, 5], [4, 3], [5, 1]], 14011/99090432],
[[[1, 9], [2, 5], [4, 3], [6, 2]], 25/9437184],
[[[1, 9], [2, 5], [4, 3], [8, 1]], 843823/7927234560],
[[[1, 9], [2, 5], [4, 3], [10, 1]], 9067/2477260800],
[[[1, 9], [2, 5], [4, 3], [12, 1]], 113/23224320],
[[[1, 9], [2, 5], [4, 4], [6, 1]], 205487/17836277760],
[[[1, 9], [2, 5], [5, 1], [7, 1]], 5581/309657600],
[[[1, 9], [2, 5], [5, 2], [6, 1]], 7/460800],
[[[1, 9], [2, 5], [6, 1], [8, 2]], 43/185794560],
[[[1, 9], [2, 5], [6, 1], [10, 2]], 1/88473600],
[[[1, 9], [2, 5], [6, 2], [7, 1]], 1/5806080],
[[[1, 9], [2, 5], [6, 2], [14, 1]], 1/148635648],
[[[1, 9], [2, 5], [6, 3], [10, 1]], 1/318504960],
[[[1, 9], [2, 5], [7, 1], [8, 1]], 2489/867041280],
[[[1, 9], [2, 5], [8, 1], [14, 1]], 1/16515072],
[[[1, 9], [2, 5], [10, 1], [14, 1]], 1/41287680],
[[[1, 9], [2, 7], [3, 1], [4, 3]], 1157435/4756340736],
[[[1, 9], [2, 7], [3, 1], [6, 3]], 9529/1274019840],
[[[1, 9], [2, 7], [3, 1], [7, 1]], 191/20643840],
[[[1, 9], [2, 7], [3, 1], [14, 1]], 1/860160],
[[[1, 9], [2, 7], [3, 2], [4, 2]], 5282959/35672555520],
[[[1, 9], [2, 7], [3, 2], [5, 1]], 787/26542080],
[[[1, 9], [2, 7], [3, 2], [6, 2]], 6199/70778880],
[[[1, 9], [2, 7], [3, 2], [8, 1]], 137/13271040],
[[[1, 9], [2, 7], [3, 2], [10, 1]], 1/1228800],
[[[1, 9], [2, 7], [3, 3], [4, 1]], 3245/63700992],
[[[1, 9], [2, 7], [3, 3], [6, 1]], 21127/382205952],
[[[1, 9], [2, 7], [4, 1], [6, 3]], 1871/764411904],
[[[1, 9], [2, 7], [4, 1], [7, 1]], 70913/4161798144],
[[[1, 9], [2, 7], [4, 1], [14, 1]], 1031/220200960],
[[[1, 9], [2, 7], [4, 2], [5, 1]], 10023047/89181388800],
[[[1, 9], [2, 7], [4, 2], [6, 2]], 90133/5096079360],
[[[1, 9], [2, 7], [4, 2], [8, 1]], 35508859/237817036800],
[[[1, 9], [2, 7], [4, 2], [10, 1]], 3413/157286400],
[[[1, 9], [2, 7], [4, 2], [12, 1]], 617/348364800],
[[[1, 9], [2, 7], [4, 3], [6, 1]], 722771/8493465600],
[[[1, 9], [2, 7], [5, 1], [6, 2]], 1/614400],
[[[1, 9], [2, 7], [5, 1], [8, 1]], 377/68812800],
[[[1, 9], [2, 7], [5, 1], [10, 1]], 1049/58060800],
[[[1, 9], [2, 7], [6, 1], [7, 1]], 79/23224320],
[[[1, 9], [2, 7], [6, 1], [14, 1]], 13/21233664],
[[[1, 9], [2, 7], [6, 2], [8, 1]], 53/84934656],
[[[1, 9], [2, 7], [6, 2], [10, 1]], 1/1310720],
[[[1, 9], [2, 7], [8, 1], [10, 1]], 13/17694720],
[[[1, 9], [2, 9], [3, 1], [4, 2]], 26936977/356725555200],
[[[1, 9], [2, 9], [3, 1], [5, 1]], 16403/4246732800],
[[[1, 9], [2, 9], [3, 1], [6, 2]], 114797/4246732800],
[[[1, 9], [2, 9], [3, 1], [8, 1]], 24931/11890851840],
[[[1, 9], [2, 9], [3, 1], [10, 1]], 457/154828800],
[[[1, 9], [2, 9], [3, 2], [4, 1]], 260353/14269022208],
[[[1, 9], [2, 9], [3, 2], [6, 1]], 114797/4246732800],
[[[1, 9], [2, 9], [4, 1], [5, 1]], 868187/59454259200],
[[[1, 9], [2, 9], [4, 1], [6, 2]], 260353/14269022208],
[[[1, 9], [2, 9], [4, 1], [8, 1]], 75081877/3329438515200],
[[[1, 9], [2, 9], [4, 1], [10, 1]], 868187/59454259200],
[[[1, 9], [2, 9], [4, 2], [6, 1]], 26936977/356725555200],
[[[1, 9], [2, 9], [5, 1], [6, 1]], 457/154828800],
[[[1, 9], [2, 9], [6, 1], [8, 1]], 24931/11890851840],
[[[1, 9], [2, 9], [6, 1], [10, 1]], 16403/4246732800],
[[[1, 9], [2, 11], [3, 1], [4, 1]], 8116177/1426902220800],
[[[1, 9], [2, 11], [3, 1], [6, 1]], 9313973/1426902220800],
[[[1, 9], [2, 11], [4, 1], [6, 1]], 64722703/4280706662400],
[[[1, 10], [2, 2], [3, 1], [4, 5]], 1/7864320],
[[[1, 10], [2, 2], [3, 2], [4, 4]], 37/17694720],
[[[1, 10], [2, 2], [3, 2], [5, 2]], 46567/774144000],
[[[1, 10], [2, 2], [3, 2], [8, 2]], 11/619315200],
[[[1, 10], [2, 2], [3, 3], [4, 3]], 107/17694720],
[[[1, 10], [2, 2], [3, 3], [7, 1]], 377/23224320],
[[[1, 10], [2, 2], [3, 4], [4, 2]], 1543/106168320],
[[[1, 10], [2, 2], [3, 4], [5, 1]], 439/12441600],
[[[1, 10], [2, 2], [3, 4], [6, 2]], 1/663552],
[[[1, 10], [2, 2], [3, 4], [8, 1]], 23/7962624],
[[[1, 10], [2, 2], [3, 5], [4, 1]], 7/663552],
[[[1, 10], [2, 2], [3, 5], [6, 1]], 5/746496],
[[[1, 10], [2, 2], [4, 2], [5, 2]], 3431/309657600],
[[[1, 10], [2, 2], [4, 2], [8, 2]], 143/943718400],
[[[1, 10], [2, 2], [4, 2], [16, 1]], 1/41287680],
[[[1, 10], [2, 2], [4, 3], [7, 1]], 9/16056320],
[[[1, 10], [2, 2], [4, 4], [5, 1]], 449/412876800],
[[[1, 10], [2, 2], [4, 4], [8, 1]], 73/283115520],
[[[1, 10], [2, 2], [4, 4], [12, 1]], 1/61931520],
[[[1, 10], [2, 2], [5, 1], [8, 2]], 1/309657600],
[[[1, 10], [2, 2], [5, 2], [8, 1]], 17/21504000],
[[[1, 10], [2, 2], [7, 1], [14, 1]], 1/20643840],
[[[1, 10], [2, 4], [3, 1], [4, 4]], 32581/1486356480],
[[[1, 10], [2, 4], [3, 1], [5, 2]], 283901/4644864000],
[[[1, 10], [2, 4], [3, 1], [8, 2]], 143/743178240],
[[[1, 10], [2, 4], [3, 2], [4, 3]], 228569/2972712960],
[[[1, 10], [2, 4], [3, 2], [6, 3]], 11/26542080],
[[[1, 10], [2, 4], [3, 2], [7, 1]], 4351/173408256],
[[[1, 10], [2, 4], [3, 3], [4, 2]], 6839/63700992],
[[[1, 10], [2, 4], [3, 3], [5, 1]], 5377/68812800],
[[[1, 10], [2, 4], [3, 3], [6, 2]], 1933/119439360],
[[[1, 10], [2, 4], [3, 3], [8, 1]], 3133/278691840],
[[[1, 10], [2, 4], [3, 4], [4, 1]], 14273/238878720],
[[[1, 10], [2, 4], [3, 4], [6, 1]], 499/13271040],
[[[1, 10], [2, 4], [4, 1], [5, 2]], 5483/96768000],
[[[1, 10], [2, 4], [4, 1], [8, 2]], 1037/1981808640],
[[[1, 10], [2, 4], [4, 1], [16, 1]], 1/15482880],
[[[1, 10], [2, 4], [4, 2], [7, 1]], 15809/867041280],
[[[1, 10], [2, 4], [4, 2], [14, 1]], 73/660602880],
[[[1, 10], [2, 4], [4, 3], [5, 1]], 297301/7431782400],
[[[1, 10], [2, 4], [4, 3], [6, 2]], 499/8918138880],
[[[1, 10], [2, 4], [4, 3], [8, 1]], 1609/169869312],
[[[1, 10], [2, 4], [4, 3], [10, 1]], 121/825753600],
[[[1, 10], [2, 4], [4, 3], [12, 1]], 1/2064384],
[[[1, 10], [2, 4], [4, 4], [6, 1]], 11603/11890851840],
[[[1, 10], [2, 4], [5, 1], [7, 1]], 4241/433520640],
[[[1, 10], [2, 4], [5, 2], [6, 1]], 367/82944000],
[[[1, 10], [2, 4], [6, 1], [8, 2]], 1/123863040],
[[[1, 10], [2, 4], [6, 2], [7, 1]], 1/162570240],
[[[1, 10], [2, 4], [7, 1], [8, 1]], 83/108380160],
[[[1, 10], [2, 6], [3, 1], [4, 3]], 411599/2972712960],
[[[1, 10], [2, 6], [3, 1], [6, 3]], 3107/4459069440],
[[[1, 10], [2, 6], [3, 1], [7, 1]], 19129/1734082560],
[[[1, 10], [2, 6], [3, 1], [14, 1]], 19/206438400],
[[[1, 10], [2, 6], [3, 2], [4, 2]], 27904897/178362777600],
[[[1, 10], [2, 6], [3, 2], [5, 1]], 9319/185794560],
[[[1, 10], [2, 6], [3, 2], [6, 2]], 99347/3567255552],
[[[1, 10], [2, 6], [3, 2], [8, 1]], 15259/1486356480],
[[[1, 10], [2, 6], [3, 3], [4, 1]], 211427/2675441664],
[[[1, 10], [2, 6], [3, 3], [6, 1]], 113969/2229534720],
[[[1, 10], [2, 6], [4, 1], [6, 3]], 7/84934656],
[[[1, 10], [2, 6], [4, 1], [7, 1]], 146239/10404495360],
[[[1, 10], [2, 6], [4, 1], [14, 1]], 187/330301440],
[[[1, 10], [2, 6], [4, 2], [5, 1]], 7653341/89181388800],
[[[1, 10], [2, 6], [4, 2], [6, 2]], 131161/71345111040],
[[[1, 10], [2, 6], [4, 2], [8, 1]], 401965/9512681472],
[[[1, 10], [2, 6], [4, 2], [10, 1]], 5989/2831155200],
[[[1, 10], [2, 6], [4, 2], [12, 1]], 1/2293760],
[[[1, 10], [2, 6], [4, 3], [6, 1]], 75317/4459069440],
[[[1, 10], [2, 6], [5, 1], [6, 2]], 7/16588800],
[[[1, 10], [2, 6], [5, 1], [8, 1]], 2899/743178240],
[[[1, 10], [2, 6], [5, 1], [10, 1]], 27/5734400],
[[[1, 10], [2, 6], [6, 1], [7, 1]], 2489/1300561920],
[[[1, 10], [2, 6], [6, 1], [14, 1]], 1/33030144],
[[[1, 10], [2, 6], [6, 2], [8, 1]], 1/84934656],
[[[1, 10], [2, 6], [6, 2], [10, 1]], 1/53084160],
[[[1, 10], [2, 6], [8, 1], [10, 1]], 1/23592960],
[[[1, 10], [2, 8], [3, 1], [4, 2]], 7794673/85614133248],
[[[1, 10], [2, 8], [3, 1], [5, 1]], 1275989/118908518400],
[[[1, 10], [2, 8], [3, 1], [6, 2]], 16153/1415577600],
[[[1, 10], [2, 8], [3, 1], [8, 1]], 4513/1486356480],
[[[1, 10], [2, 8], [3, 1], [10, 1]], 1417/1548288000],
[[[1, 10], [2, 8], [3, 2], [4, 1]], 1376579/35672555520],
[[[1, 10], [2, 8], [3, 2], [6, 1]], 276767/8918138880],
[[[1, 10], [2, 8], [4, 1], [5, 1]], 1948267/89181388800],
[[[1, 10], [2, 8], [4, 1], [6, 2]], 45049/10192158720],
[[[1, 10], [2, 8], [4, 1], [8, 1]], 377119/23781703680],
[[[1, 10], [2, 8], [4, 1], [10, 1]], 11897/2831155200],
[[[1, 10], [2, 8], [4, 2], [6, 1]], 12090749/356725555200],
[[[1, 10], [2, 8], [5, 1], [6, 1]], 1171/309657600],
[[[1, 10], [2, 8], [6, 1], [8, 1]], 191/283115520],
[[[1, 10], [2, 8], [6, 1], [10, 1]], 5119/8493465600],
[[[1, 10], [2, 10], [3, 1], [4, 1]], 2060911/178362777600],
[[[1, 10], [2, 10], [3, 1], [6, 1]], 2578357/308281344000],
[[[1, 10], [2, 10], [4, 1], [6, 1]], 2060911/178362777600],
[[[1, 10], [3, 1], [4, 2], [5, 2]], 29/43008000],
[[[1, 10], [3, 1], [4, 4], [5, 1]], 19/825753600],
[[[1, 10], [3, 2], [4, 2], [7, 1]], 1/3440640],
[[[1, 10], [3, 2], [5, 1], [7, 1]], 13/3225600],
[[[1, 10], [3, 3], [4, 2], [5, 1]], 13/13271040],
[[[1, 10], [4, 2], [5, 1], [7, 1]], 1/20070400],
[[[1, 11], [2, 1], [3, 1], [4, 5]], 1/132120576],
[[[1, 11], [2, 1], [3, 2], [4, 4]], 47/1981808640],
[[[1, 11], [2, 1], [3, 2], [5, 2]], 59/5160960],
[[[1, 11], [2, 1], [3, 3], [4, 3]], 29/53084160],
[[[1, 11], [2, 1], [3, 3], [7, 1]], 79/23224320],
[[[1, 11], [2, 1], [3, 4], [4, 2]], 23/31850496],
[[[1, 11], [2, 1], [3, 4], [5, 1]], 469/49766400],
[[[1, 11], [2, 1], [3, 4], [8, 1]], 17/79626240],
[[[1, 11], [2, 1], [3, 5], [4, 1]], 1/442368],
[[[1, 11], [2, 1], [3, 5], [6, 1]], 1/995328],
[[[1, 11], [2, 1], [4, 2], [5, 2]], 17/86016000],
[[[1, 11], [2, 1], [4, 3], [7, 1]], 1/48168960],
[[[1, 11], [2, 1], [4, 4], [5, 1]], 31/4954521600],
[[[1, 11], [2, 1], [5, 2], [8, 1]], 11/387072000],
[[[1, 11], [2, 3], [3, 1], [4, 4]], 2047/990904320],
[[[1, 11], [2, 3], [3, 1], [5, 2]], 19199/774144000],
[[[1, 11], [2, 3], [3, 1], [8, 2]], 19/1857945600],
[[[1, 11], [2, 3], [3, 2], [4, 3]], 176231/14863564800],
[[[1, 11], [2, 3], [3, 2], [7, 1]], 4457/433520640],
[[[1, 11], [2, 3], [3, 3], [4, 2]], 75629/2229534720],
[[[1, 11], [2, 3], [3, 3], [5, 1]], 13147/309657600],
[[[1, 11], [2, 3], [3, 3], [6, 2]], 1/737280],
[[[1, 11], [2, 3], [3, 3], [8, 1]], 157/51609600],
[[[1, 11], [2, 3], [3, 4], [4, 1]], 2879/95551488],
[[[1, 11], [2, 3], [3, 4], [6, 1]], 799/59719680],
[[[1, 11], [2, 3], [4, 1], [5, 2]], 4837/331776000],
[[[1, 11], [2, 3], [4, 1], [8, 2]], 59/4954521600],
[[[1, 11], [2, 3], [4, 1], [16, 1]], 1/495452160],
[[[1, 11], [2, 3], [4, 2], [7, 1]], 841/346816512],
[[[1, 11], [2, 3], [4, 3], [5, 1]], 7031/1486356480],
[[[1, 11], [2, 3], [4, 3], [6, 2]], 1/2229534720],
[[[1, 11], [2, 3], [4, 3], [8, 1]], 41039/118908518400],
[[[1, 11], [2, 3], [4, 3], [12, 1]], 1/61931520],
[[[1, 11], [2, 3], [4, 4], [6, 1]], 17/1486356480],
[[[1, 11], [2, 3], [5, 1], [7, 1]], 2917/1083801600],
[[[1, 11], [2, 3], [5, 2], [6, 1]], 17/32256000],
[[[1, 11], [2, 3], [7, 1], [8, 1]], 1/10321920],
[[[1, 11], [2, 5], [3, 1], [4, 3]], 8823917/178362777600],
[[[1, 11], [2, 5], [3, 1], [6, 3]], 131/8918138880],
[[[1, 11], [2, 5], [3, 1], [7, 1]], 2693/371589120],
[[[1, 11], [2, 5], [3, 2], [4, 2]], 1387237/14863564800],
[[[1, 11], [2, 5], [3, 2], [5, 1]], 35897/796262400],
[[[1, 11], [2, 5], [3, 2], [6, 2]], 1235/254803968],
[[[1, 11], [2, 5], [3, 2], [8, 1]], 117409/22295347200],
[[[1, 11], [2, 5], [3, 3], [4, 1]], 1508137/22295347200],
[[[1, 11], [2, 5], [3, 3], [6, 1]], 376277/13377208320],
[[[1, 11], [2, 5], [4, 1], [7, 1]], 46117/6936330240],
[[[1, 11], [2, 5], [4, 1], [14, 1]], 101/4624220160],
[[[1, 11], [2, 5], [4, 2], [5, 1]], 94699/2477260800],
[[[1, 11], [2, 5], [4, 2], [6, 2]], 4189/71345111040],
[[[1, 11], [2, 5], [4, 2], [8, 1]], 98969/16986931200],
[[[1, 11], [2, 5], [4, 2], [10, 1]], 73/943718400],
[[[1, 11], [2, 5], [4, 2], [12, 1]], 1/23224320],
[[[1, 11], [2, 5], [4, 3], [6, 1]], 140669/71345111040],
[[[1, 11], [2, 5], [5, 1], [6, 2]], 31/696729600],
[[[1, 11], [2, 5], [5, 1], [8, 1]], 109/74317824],
[[[1, 11], [2, 5], [5, 1], [10, 1]], 1/2150400],
[[[1, 11], [2, 5], [6, 1], [7, 1]], 83/162570240],
[[[1, 11], [2, 7], [3, 1], [4, 2]], 17939209/267544166400],
[[[1, 11], [2, 7], [3, 1], [5, 1]], 669041/44590694400],
[[[1, 11], [2, 7], [3, 1], [6, 2]], 249589/89181388800],
[[[1, 11], [2, 7], [3, 1], [8, 1]], 1381/557383680],
[[[1, 11], [2, 7], [3, 1], [10, 1]], 19/294912000],
[[[1, 11], [2, 7], [3, 2], [4, 1]], 25475903/535088332800],
[[[1, 11], [2, 7], [3, 2], [6, 1]], 934219/44590694400],
[[[1, 11], [2, 7], [4, 1], [5, 1]], 1817353/89181388800],
[[[1, 11], [2, 7], [4, 1], [6, 2]], 36857/71345111040],
[[[1, 11], [2, 7], [4, 1], [8, 1]], 109625/19025362944],
[[[1, 11], [2, 7], [4, 1], [10, 1]], 44017/99090432000],
[[[1, 11], [2, 7], [4, 2], [6, 1]], 685969/71345111040],
[[[1, 11], [2, 7], [5, 1], [6, 1]], 2899/1114767360],
[[[1, 11], [2, 7], [6, 1], [8, 1]], 1607/11890851840],
[[[1, 11], [2, 7], [6, 1], [10, 1]], 251/7077888000],
[[[1, 11], [2, 9], [3, 1], [4, 1]], 64722703/4280706662400],
[[[1, 11], [2, 9], [3, 1], [6, 1]], 9313973/1426902220800],
[[[1, 11], [2, 9], [4, 1], [6, 1]], 8116177/1426902220800],
[[[1, 12], [2, 2], [3, 1], [4, 4]], 7597/59454259200],
[[[1, 12], [2, 2], [3, 1], [5, 2]], 11791/2322432000],
[[[1, 12], [2, 2], [3, 1], [8, 2]], 1/3715891200],
[[[1, 12], [2, 2], [3, 2], [4, 3]], 17/22937600],
[[[1, 12], [2, 2], [3, 2], [7, 1]], 4661/2167603200],
[[[1, 12], [2, 2], [3, 3], [4, 2]], 12941/3715891200],
[[[1, 12], [2, 2], [3, 3], [5, 1]], 167767/13934592000],
[[[1, 12], [2, 2], [3, 3], [6, 2]], 1/26542080],
[[[1, 12], [2, 2], [3, 3], [8, 1]], 247/696729600],
[[[1, 12], [2, 2], [3, 4], [4, 1]], 47/6635520],
[[[1, 12], [2, 2], [3, 4], [6, 1]], 269/119439360],
[[[1, 12], [2, 2], [4, 1], [5, 2]], 5/3096576],
[[[1, 12], [2, 2], [4, 1], [8, 2]], 1/9909043200],
[[[1, 12], [2, 2], [4, 2], [7, 1]], 2467/23121100800],
[[[1, 12], [2, 2], [4, 3], [5, 1]], 107/619315200],
[[[1, 12], [2, 2], [4, 3], [8, 1]], 17/9909043200],
[[[1, 12], [2, 2], [4, 4], [6, 1]], 1/2972712960],
[[[1, 12], [2, 2], [5, 1], [7, 1]], 19/51609600],
[[[1, 12], [2, 2], [5, 2], [6, 1]], 11/580608000],
[[[1, 12], [2, 2], [7, 1], [8, 1]], 1/180633600],
[[[1, 12], [2, 4], [3, 1], [4, 3]], 394207/44590694400],
[[[1, 12], [2, 4], [3, 1], [7, 1]], 70237/26011238400],
[[[1, 12], [2, 4], [3, 2], [4, 2]], 37657/1274019840],
[[[1, 12], [2, 4], [3, 2], [5, 1]], 9901/435456000],
[[[1, 12], [2, 4], [3, 2], [6, 2]], 2917/6370099200],
[[[1, 12], [2, 4], [3, 2], [8, 1]], 319/222953472],
[[[1, 12], [2, 4], [3, 3], [4, 1]], 1071601/33443020800],
[[[1, 12], [2, 4], [3, 3], [6, 1]], 821/88473600],
[[[1, 12], [2, 4], [4, 1], [7, 1]], 14219/8670412800],
[[[1, 12], [2, 4], [4, 2], [5, 1]], 14267/1651507200],
[[[1, 12], [2, 4], [4, 2], [6, 2]], 103/66886041600],
[[[1, 12], [2, 4], [4, 2], [8, 1]], 49387/118908518400],
[[[1, 12], [2, 4], [4, 2], [12, 1]], 1/743178240],
[[[1, 12], [2, 4], [4, 3], [6, 1]], 559/4954521600],
[[[1, 12], [2, 4], [5, 1], [6, 2]], 1/696729600],
[[[1, 12], [2, 4], [5, 1], [8, 1]], 137/464486400],
[[[1, 12], [2, 4], [5, 1], [10, 1]], 1/68812800],
[[[1, 12], [2, 4], [6, 1], [7, 1]], 1/15482880],
[[[1, 12], [2, 6], [3, 1], [4, 2]], 35933729/1070176665600],
[[[1, 12], [2, 6], [3, 1], [5, 1]], 1059013/89181388800],
[[[1, 12], [2, 6], [3, 1], [6, 2]], 117557/267544166400],
[[[1, 12], [2, 6], [3, 1], [8, 1]], 7297/6370099200],
[[[1, 12], [2, 6], [3, 2], [4, 1]], 18967913/535088332800],
[[[1, 12], [2, 6], [3, 2], [6, 1]], 1277251/133772083200],
[[[1, 12], [2, 6], [4, 1], [5, 1]], 1053839/89181388800],
[[[1, 12], [2, 6], [4, 1], [6, 2]], 2351/71345111040],
[[[1, 12], [2, 6], [4, 1], [8, 1]], 447431/356725555200],
[[[1, 12], [2, 6], [4, 1], [10, 1]], 101/6606028800],
[[[1, 12], [2, 6], [4, 2], [6, 1]], 539507/305764761600],
[[[1, 12], [2, 6], [5, 1], [6, 1]], 109/111476736],
[[[1, 12], [2, 6], [6, 1], [8, 1]], 1/49545216],
[[[1, 12], [2, 6], [6, 1], [10, 1]], 101/198180864000],
[[[1, 12], [2, 8], [3, 1], [4, 1]], 2933239/214035333120],
[[[1, 12], [2, 8], [3, 1], [6, 1]], 7558813/2140353331200],
[[[1, 12], [2, 8], [4, 1], [6, 1]], 253387/118908518400],
[[[1, 12], [3, 1], [4, 2], [7, 1]], 1/180633600],
[[[1, 12], [3, 1], [5, 1], [7, 1]], 317/3612672000],
[[[1, 12], [3, 2], [4, 2], [5, 1]], 131/1548288000],
[[[1, 13], [2, 1], [3, 1], [4, 4]], 19/29727129600],
[[[1, 13], [2, 1], [3, 1], [5, 2]], 823/1720320000],
[[[1, 13], [2, 1], [3, 2], [4, 3]], 11/309657600],
[[[1, 13], [2, 1], [3, 2], [7, 1]], 1717/8670412800],
[[[1, 13], [2, 1], [3, 3], [4, 2]], 247/2786918400],
[[[1, 13], [2, 1], [3, 3], [5, 1]], 89407/55738368000],
[[[1, 13], [2, 1], [3, 3], [8, 1]], 1/69672960],
[[[1, 13], [2, 1], [3, 4], [4, 1]], 11/21233664],
[[[1, 13], [2, 1], [3, 4], [6, 1]], 1/7962624],
[[[1, 13], [2, 1], [4, 1], [5, 2]], 29/516096000],
[[[1, 13], [2, 1], [4, 2], [7, 1]], 1/722534400],
[[[1, 13], [2, 1], [4, 3], [5, 1]], 1/176947200],
[[[1, 13], [2, 1], [4, 3], [8, 1]], 1/39636172800],
[[[1, 13], [2, 1], [5, 1], [7, 1]], 493/21676032000],
[[[1, 13], [2, 1], [7, 1], [8, 1]], 1/8670412800],
[[[1, 13], [2, 3], [3, 1], [4, 3]], 35593/50960793600],
[[[1, 13], [2, 3], [3, 1], [7, 1]], 3653/6502809600],
[[[1, 13], [2, 3], [3, 2], [4, 2]], 1502737/356725555200],
[[[1, 13], [2, 3], [3, 2], [5, 1]], 1999/309657600],
[[[1, 13], [2, 3], [3, 2], [6, 2]], 11/594542592],
[[[1, 13], [2, 3], [3, 2], [8, 1]], 53/265420800],
[[[1, 13], [2, 3], [3, 3], [4, 1]], 266017/33443020800],
[[[1, 13], [2, 3], [3, 3], [6, 1]], 6139/3822059520],
[[[1, 13], [2, 3], [4, 1], [7, 1]], 42221/208089907200],
[[[1, 13], [2, 3], [4, 2], [5, 1]], 262739/297271296000],
[[[1, 13], [2, 3], [4, 2], [6, 2]], 1/33443020800],
[[[1, 13], [2, 3], [4, 2], [8, 1]], 113/7431782400],
[[[1, 13], [2, 3], [4, 3], [6, 1]], 659/178362777600],
[[[1, 13], [2, 3], [5, 1], [8, 1]], 289/9289728000],
[[[1, 13], [2, 3], [6, 1], [7, 1]], 1/270950400],
[[[1, 13], [2, 5], [3, 1], [4, 2]], 1810801/178362777600],
[[[1, 13], [2, 5], [3, 1], [5, 1]], 1233511/222953472000],
[[[1, 13], [2, 5], [3, 1], [6, 2]], 53/1194393600],
[[[1, 13], [2, 5], [3, 1], [8, 1]], 27509/89181388800],
[[[1, 13], [2, 5], [3, 2], [4, 1]], 399727/25480396800],
[[[1, 13], [2, 5], [3, 2], [6, 1]], 382147/133772083200],
[[[1, 13], [2, 5], [4, 1], [5, 1]], 251923/63700992000],
[[[1, 13], [2, 5], [4, 1], [6, 2]], 29/16721510400],
[[[1, 13], [2, 5], [4, 1], [8, 1]], 4889/25480396800],
[[[1, 13], [2, 5], [4, 2], [6, 1]], 1621/8360755200],
[[[1, 13], [2, 5], [5, 1], [6, 1]], 137/696729600],
[[[1, 13], [2, 5], [6, 1], [8, 1]], 43/22295347200],
[[[1, 13], [2, 7], [3, 1], [4, 1]], 37234847/4280706662400],
[[[1, 13], [2, 7], [3, 1], [6, 1]], 863113/611529523200],
[[[1, 13], [2, 7], [4, 1], [6, 1]], 515071/856141332480],
[[[1, 14], [2, 2], [3, 1], [4, 3]], 1/45875200],
[[[1, 14], [2, 2], [3, 1], [7, 1]], 3211/52022476800],
[[[1, 14], [2, 2], [3, 2], [4, 2]], 27863/118908518400],
[[[1, 14], [2, 2], [3, 2], [5, 1]], 27553/27869184000],
[[[1, 14], [2, 2], [3, 2], [6, 2]], 1/4246732800],
[[[1, 14], [2, 2], [3, 2], [8, 1]], 593/44590694400],
[[[1, 14], [2, 2], [3, 3], [4, 1]], 4499/4954521600],
[[[1, 14], [2, 2], [3, 3], [6, 1]], 1721/13377208320],
[[[1, 14], [2, 2], [4, 1], [7, 1]], 403/34681651200],
[[[1, 14], [2, 2], [4, 2], [5, 1]], 2017/59454259200],
[[[1, 14], [2, 2], [4, 2], [6, 2]], 1/1872809164800],
[[[1, 14], [2, 2], [4, 2], [8, 1]], 59/237817036800],
[[[1, 14], [2, 2], [4, 3], [6, 1]], 1/44590694400],
[[[1, 14], [2, 2], [5, 1], [8, 1]], 59/37158912000],
[[[1, 14], [2, 2], [6, 1], [7, 1]], 1/13005619200],
[[[1, 14], [2, 4], [3, 1], [4, 2]], 129877/79272345600],
[[[1, 14], [2, 4], [3, 1], [5, 1]], 2749331/1783627776000],
[[[1, 14], [2, 4], [3, 1], [6, 2]], 31/13377208320],
[[[1, 14], [2, 4], [3, 1], [8, 1]], 151/3185049600],
[[[1, 14], [2, 4], [3, 2], [4, 1]], 4228117/1070176665600],
[[[1, 14], [2, 4], [3, 2], [6, 1]], 547/1101004800],
[[[1, 14], [2, 4], [4, 1], [5, 1]], 665887/891813888000],
[[[1, 14], [2, 4], [4, 1], [6, 2]], 1/16721510400],
[[[1, 14], [2, 4], [4, 1], [8, 1]], 47051/2497078886400],
[[[1, 14], [2, 4], [4, 2], [6, 1]], 91057/7491236659200],
[[[1, 14], [2, 4], [5, 1], [6, 1]], 289/13934592000],
[[[1, 14], [2, 4], [6, 1], [8, 1]], 1/11147673600],
[[[1, 14], [2, 6], [3, 1], [4, 1]], 1910789/535088332800],
[[[1, 14], [2, 6], [3, 1], [6, 1]], 41401/107017666560],
[[[1, 14], [2, 6], [4, 1], [6, 1]], 58397/535088332800],
[[[1, 14], [3, 1], [4, 2], [5, 1]], 113/74317824000],
[[[1, 15], [2, 1], [3, 1], [4, 3]], 1/1698693120],
[[[1, 15], [2, 1], [3, 1], [7, 1]], 17/5202247680],
[[[1, 15], [2, 1], [3, 2], [4, 2]], 593/178362777600],
[[[1, 15], [2, 1], [3, 2], [5, 1]], 817/11147673600],
[[[1, 15], [2, 1], [3, 2], [8, 1]], 73/222953472000],
[[[1, 15], [2, 1], [3, 3], [4, 1]], 79/2123366400],
[[[1, 15], [2, 1], [3, 3], [6, 1]], 53/14863564800],
[[[1, 15], [2, 1], [4, 1], [7, 1]], 17/69363302400],
[[[1, 15], [2, 1], [4, 2], [5, 1]], 59/148635648000],
[[[1, 15], [2, 1], [4, 2], [8, 1]], 1/1664719257600],
[[[1, 15], [2, 1], [4, 3], [6, 1]], 1/2497078886400],
[[[1, 15], [2, 1], [5, 1], [8, 1]], 1/32514048000],
[[[1, 15], [2, 3], [3, 1], [4, 2]], 46069/356725555200],
[[[1, 15], [2, 3], [3, 1], [5, 1]], 37627/148635648000],
[[[1, 15], [2, 3], [3, 1], [6, 2]], 1/22295347200],
[[[1, 15], [2, 3], [3, 1], [8, 1]], 337/83235962880],
[[[1, 15], [2, 3], [3, 2], [4, 1]], 2873711/5350883328000],
[[[1, 15], [2, 3], [3, 2], [6, 1]], 2503/53508833280],
[[[1, 15], [2, 3], [4, 1], [5, 1]], 478123/6242697216000],
[[[1, 15], [2, 3], [4, 1], [6, 2]], 1/936404582400],
[[[1, 15], [2, 3], [4, 1], [8, 1]], 677/665887703040],
[[[1, 15], [2, 3], [4, 2], [6, 1]], 547/1248539443200],
[[[1, 15], [2, 3], [5, 1], [6, 1]], 59/55738368000],
[[[1, 15], [2, 3], [6, 1], [8, 1]], 1/624269721600],
[[[1, 15], [2, 5], [3, 1], [4, 1]], 8954837/9988315545600],
[[[1, 15], [2, 5], [3, 1], [6, 1]], 283037/4280706662400],
[[[1, 15], [2, 5], [4, 1], [6, 1]], 345091/29964946636800],
[[[1, 16], [2, 2], [3, 1], [4, 2]], 17467/4161798144000],
[[[1, 16], [2, 2], [3, 1], [5, 1]], 145937/6242697216000],
[[[1, 16], [2, 2], [3, 1], [8, 1]], 551/3121348608000],
[[[1, 16], [2, 2], [3, 2], [4, 1]], 21289/594542592000],
[[[1, 16], [2, 2], [3, 2], [6, 1]], 2893/1337720832000],
[[[1, 16], [2, 2], [4, 1], [5, 1]], 323/83235962880],
[[[1, 16], [2, 2], [4, 1], [8, 1]], 107/4161798144000],
[[[1, 16], [2, 2], [4, 2], [6, 1]], 1/124853944320],
[[[1, 16], [2, 2], [5, 1], [6, 1]], 1/48771072000],
[[[1, 16], [2, 4], [3, 1], [4, 1]], 5009591/37456183296000],
[[[1, 16], [2, 4], [3, 1], [6, 1]], 11197/1664719257600],
[[[1, 16], [2, 4], [4, 1], [6, 1]], 5147/7491236659200],
[[[1, 17], [2, 1], [3, 1], [4, 2]], 551/12485394432000],
[[[1, 17], [2, 1], [3, 1], [5, 1]], 17141/15606743040000],
[[[1, 17], [2, 1], [3, 1], [8, 1]], 19/6242697216000],
[[[1, 17], [2, 1], [3, 2], [4, 1]], 59/66060288000],
[[[1, 17], [2, 1], [3, 2], [6, 1]], 17/445906944000],
[[[1, 17], [2, 1], [4, 1], [5, 1]], 157/2080899072000],
[[[1, 17], [2, 1], [4, 1], [8, 1]], 1/4756340736000],
[[[1, 17], [2, 3], [3, 1], [4, 1]], 121531/10701766656000],
[[[1, 17], [2, 3], [3, 1], [6, 1]], 5833/14982473318400],
[[[1, 17], [2, 3], [4, 1], [6, 1]], 589/24970788864000],
[[[1, 18], [2, 2], [3, 1], [4, 1]], 83/166471925760],
[[[1, 18], [2, 2], [3, 1], [6, 1]], 1753/149824733184000],
[[[1, 18], [2, 2], [4, 1], [6, 1]], 19/37456183296000],
[[[1, 19], [2, 1], [3, 1], [4, 1]], 29/3329438515200],
[[[1, 19], [2, 1], [3, 1], [6, 1]], 1/7134511104000],
[[[1, 19], [2, 1], [4, 1], [6, 1]], 1/149824733184000],
[[[2, 2], [4, 3], [8, 2], [16, 1]], 1/8192],
[[[2, 2], [4, 4], [8, 2], [14, 1]], 1/21504],
[[[2, 4], [4, 2], [6, 2], [10, 3]], 1/144000],
[[[2, 4], [4, 2], [10, 1], [14, 2]], 1/31360],
[[[2, 4], [4, 3], [6, 1], [8, 3]], 1/24576],
[[[2, 4], [4, 4], [6, 2], [8, 2]], 5/221184],
[[[2, 4], [4, 4], [6, 2], [10, 2]], 1/1843200],
[[[2, 4], [4, 4], [8, 1], [16, 1]], 1/98304],
[[[2, 4], [4, 4], [8, 2], [10, 1]], 1/92160],
[[[2, 4], [6, 1], [10, 3], [14, 1]], 1/10500],
[[[2, 6], [4, 1], [8, 2], [16, 1]], 1/491520],
[[[2, 6], [4, 2], [6, 1], [10, 3]], 1/144000],
[[[2, 6], [4, 2], [6, 1], [14, 2]], 1/150528],
[[[2, 6], [4, 2], [6, 3], [10, 2]], 1/138240],
[[[2, 6], [4, 2], [10, 2], [14, 1]], 1/67200],
[[[2, 6], [4, 4], [6, 1], [8, 2]], 19/4423680],
[[[2, 6], [4, 4], [6, 1], [10, 2]], 1/1843200],
[[[2, 6], [4, 4], [6, 2], [14, 1]], 1/1032192],
[[[2, 6], [4, 4], [6, 3], [10, 1]], 1/2211840],
[[[2, 6], [4, 4], [10, 1], [14, 1]], 1/860160],
[[[2, 6], [6, 1], [10, 1], [14, 2]], 1/23520],
[[[2, 6], [6, 2], [10, 2], [14, 1]], 1/12600],
[[[2, 8], [4, 2], [6, 2], [10, 2]], 91/18432000],
[[[2, 8], [4, 2], [6, 3], [14, 1]], 1/387072],
[[[2, 8], [4, 2], [6, 4], [10, 1]], 1/414720],
[[[2, 8], [4, 2], [8, 1], [16, 1]], 11/41287680],
[[[2, 8], [4, 2], [8, 2], [12, 1]], 1/15482880],
[[[2, 8], [4, 4], [6, 1], [14, 1]], 1/10321920],
[[[2, 8], [4, 4], [6, 2], [10, 1]], 1/3686400],
[[[2, 8], [6, 1], [10, 2], [14, 1]], 7/288000],
[[[2, 8], [6, 3], [10, 1], [14, 1]], 1/48384],
[[[2, 10], [4, 2], [6, 1], [10, 2]], 29/43008000],
[[[2, 10], [4, 2], [6, 2], [14, 1]], 1/3440640],
[[[2, 10], [4, 2], [6, 3], [10, 1]], 13/13271040],
[[[2, 10], [4, 2], [10, 1], [14, 1]], 1/20070400],
[[[2, 10], [4, 4], [6, 1], [10, 1]], 19/825753600],
[[[2, 10], [6, 2], [10, 1], [14, 1]], 13/3225600],
[[[2, 12], [4, 2], [6, 1], [14, 1]], 1/180633600],
[[[2, 12], [4, 2], [6, 2], [10, 1]], 131/1548288000],
[[[2, 12], [6, 1], [10, 1], [14, 1]], 317/3612672000],
[[[2, 14], [4, 2], [6, 1], [10, 1]], 113/74317824000],
[[[4, 2], [8, 2], [12, 1], [20, 1]], 1/1920],
[[[1, 1], [2, 1], [4, 1], [8, 3], [16, 1]], 3/2048],
[[[1, 1], [2, 1], [4, 1], [16, 1], [28, 1]], 1/224],
[[[1, 1], [2, 1], [4, 3], [8, 1], [28, 1]], 5/896],
[[[1, 1], [2, 1], [4, 3], [8, 2], [12, 2]], 1/4608],
[[[1, 1], [2, 1], [4, 3], [8, 2], [16, 1]], 1/2048],
[[[1, 1], [2, 1], [4, 3], [8, 2], [20, 1]], 1/1280],
[[[1, 1], [2, 1], [4, 3], [8, 3], [12, 1]], 1/1024],
[[[1, 1], [2, 1], [4, 3], [12, 1], [28, 1]], 1/336],
[[[1, 1], [2, 1], [4, 3], [12, 2], [16, 1]], 1/1152],
[[[1, 1], [2, 1], [4, 3], [12, 2], [20, 1]], 1/360],
[[[1, 1], [2, 1], [4, 3], [16, 1], [20, 1]], 1/960],
[[[1, 1], [2, 1], [4, 5], [8, 1], [12, 2]], 1/512],
[[[1, 1], [2, 1], [4, 5], [8, 1], [16, 1]], 23/491520],
[[[1, 1], [2, 1], [4, 5], [8, 1], [20, 1]], 7/3840],
[[[1, 1], [2, 1], [4, 5], [8, 2], [12, 1]], 1/4608],
[[[1, 1], [2, 1], [4, 5], [12, 1], [16, 1]], 1/11520],
[[[1, 1], [2, 1], [4, 5], [12, 1], [20, 1]], 19/5760],
[[[1, 1], [2, 1], [4, 7], [8, 1], [12, 1]], 7/30720],
[[[1, 1], [2, 3], [3, 1], [4, 3], [14, 2]], 1/75264],
[[[1, 1], [2, 3], [4, 1], [7, 1], [8, 3]], 1/14336],
[[[1, 1], [2, 3], [4, 1], [8, 3], [14, 1]], 1/7168],
[[[1, 1], [2, 3], [4, 2], [5, 1], [8, 3]], 1/10240],
[[[1, 1], [2, 3], [4, 2], [8, 1], [14, 2]], 1/50176],
[[[1, 1], [2, 3], [4, 2], [8, 2], [16, 1]], 1/1536],
[[[1, 1], [2, 3], [4, 2], [8, 3], [10, 1]], 1/5120],
[[[1, 1], [2, 3], [4, 3], [8, 2], [14, 1]], 1/3584],
[[[1, 1], [2, 3], [4, 3], [14, 1], [16, 1]], 1/7168],
[[[1, 1], [2, 3], [4, 4], [6, 2], [8, 2]], 1/110592],
[[[1, 1], [2, 3], [4, 4], [8, 1], [16, 1]], 1/16384],
[[[1, 1], [2, 3], [4, 4], [8, 2], [10, 1]], 1/30720],
[[[1, 1], [2, 3], [4, 5], [6, 1], [8, 2]], 17/294912],
[[[1, 1], [2, 3], [4, 5], [8, 1], [14, 1]], 19/688128],
[[[1, 1], [2, 3], [6, 2], [8, 1], [10, 3]], 1/36000],
[[[1, 1], [2, 3], [8, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 1], [2, 5], [3, 1], [4, 2], [8, 3]], 1/49152],
[[[1, 1], [2, 5], [3, 1], [6, 2], [10, 3]], 1/18000],
[[[1, 1], [2, 5], [4, 1], [6, 2], [8, 3]], 1/36864],
[[[1, 1], [2, 5], [4, 1], [6, 2], [10, 3]], 13/144000],
[[[1, 1], [2, 5], [4, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 1], [2, 5], [4, 1], [8, 2], [16, 1]], 1/24576],
[[[1, 1], [2, 5], [4, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 1], [2, 5], [4, 1], [10, 1], [14, 2]], 1/6272],
[[[1, 1], [2, 5], [4, 2], [6, 1], [8, 3]], 1/12288],
[[[1, 1], [2, 5], [4, 2], [6, 1], [10, 3]], 1/48000],
[[[1, 1], [2, 5], [4, 2], [6, 1], [14, 2]], 1/75264],
[[[1, 1], [2, 5], [4, 2], [6, 3], [10, 2]], 1/115200],
[[[1, 1], [2, 5], [4, 2], [7, 1], [8, 2]], 1/86016],
[[[1, 1], [2, 5], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 5], [4, 3], [5, 1], [8, 2]], 1/122880],
[[[1, 1], [2, 5], [4, 3], [6, 2], [8, 2]], 1/9216],
[[[1, 1], [2, 5], [4, 3], [6, 2], [10, 2]], 7/307200],
[[[1, 1], [2, 5], [4, 3], [6, 2], [16, 1]], 1/36864],
[[[1, 1], [2, 5], [4, 3], [7, 1], [14, 1]], 1/86016],
[[[1, 1], [2, 5], [4, 3], [8, 1], [10, 2]], 1/76800],
[[[1, 1], [2, 5], [4, 3], [8, 1], [16, 1]], 31/327680],
[[[1, 1], [2, 5], [4, 3], [8, 2], [10, 1]], 1/12288],
[[[1, 1], [2, 5], [4, 3], [8, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 5], [4, 3], [10, 1], [16, 1]], 1/30720],
[[[1, 1], [2, 5], [4, 4], [6, 1], [8, 2]], 11/221184],
[[[1, 1], [2, 5], [4, 4], [6, 1], [10, 2]], 1/614400],
[[[1, 1], [2, 5], [4, 4], [6, 2], [14, 1]], 1/1032192],
[[[1, 1], [2, 5], [4, 4], [6, 3], [10, 1]], 1/2211840],
[[[1, 1], [2, 5], [4, 4], [10, 1], [14, 1]], 1/286720],
[[[1, 1], [2, 5], [4, 5], [6, 1], [14, 1]], 1/344064],
[[[1, 1], [2, 5], [4, 5], [6, 2], [8, 1]], 43/3538944],
[[[1, 1], [2, 5], [4, 5], [6, 2], [10, 1]], 1/737280],
[[[1, 1], [2, 5], [4, 5], [8, 1], [10, 1]], 19/2949120],
[[[1, 1], [2, 5], [6, 1], [8, 1], [10, 3]], 1/36000],
[[[1, 1], [2, 5], [6, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 1], [2, 5], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 5], [6, 2], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 5], [6, 3], [8, 1], [10, 2]], 1/34560],
[[[1, 1], [2, 5], [8, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 1], [2, 7], [3, 1], [4, 1], [10, 3]], 1/216000],
[[[1, 1], [2, 7], [3, 1], [4, 1], [14, 2]], 1/4515840],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 4]], 1/1990656],
[[[1, 1], [2, 7], [3, 1], [4, 3], [8, 2]], 1/589824],
[[[1, 1], [2, 7], [3, 1], [4, 3], [10, 2]], 1/1382400],
[[[1, 1], [2, 7], [3, 1], [4, 4], [6, 3]], 1/1769472],
[[[1, 1], [2, 7], [3, 1], [6, 1], [10, 3]], 1/36000],
[[[1, 1], [2, 7], [3, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 1], [2, 7], [4, 1], [6, 1], [8, 3]], 1/368640],
[[[1, 1], [2, 7], [4, 1], [6, 1], [10, 3]], 1/14400],
[[[1, 1], [2, 7], [4, 1], [6, 1], [14, 2]], 5/150528],
[[[1, 1], [2, 7], [4, 1], [6, 3], [10, 2]], 19/230400],
[[[1, 1], [2, 7], [4, 1], [7, 1], [16, 1]], 1/9031680],
[[[1, 1], [2, 7], [4, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 1], [2, 7], [4, 2], [6, 2], [10, 2]], 23/921600],
[[[1, 1], [2, 7], [4, 2], [6, 3], [14, 1]], 1/129024],
[[[1, 1], [2, 7], [4, 2], [6, 4], [8, 1]], 1/1327104],
[[[1, 1], [2, 7], [4, 2], [6, 4], [10, 1]], 1/165888],
[[[1, 1], [2, 7], [4, 2], [8, 1], [10, 2]], 1/921600],
[[[1, 1], [2, 7], [4, 2], [8, 1], [16, 1]], 7/983040],
[[[1, 1], [2, 7], [4, 2], [8, 2], [12, 1]], 1/552960],
[[[1, 1], [2, 7], [4, 3], [6, 1], [8, 2]], 79/5898240],
[[[1, 1], [2, 7], [4, 3], [6, 1], [10, 2]], 1/61440],
[[[1, 1], [2, 7], [4, 3], [6, 1], [16, 1]], 1/368640],
[[[1, 1], [2, 7], [4, 3], [6, 2], [14, 1]], 1/57344],
[[[1, 1], [2, 7], [4, 3], [6, 3], [8, 1]], 1/442368],
[[[1, 1], [2, 7], [4, 3], [6, 3], [10, 1]], 17/1105920],
[[[1, 1], [2, 7], [4, 3], [7, 1], [8, 1]], 107/216760320],
[[[1, 1], [2, 7], [4, 3], [8, 1], [14, 1]], 1/6881280],
[[[1, 1], [2, 7], [4, 3], [10, 1], [14, 1]], 1/61440],
[[[1, 1], [2, 7], [4, 4], [6, 1], [14, 1]], 1/1032192],
[[[1, 1], [2, 7], [4, 4], [6, 2], [10, 1]], 1/737280],
[[[1, 1], [2, 7], [4, 5], [6, 1], [8, 1]], 79/35389440],
[[[1, 1], [2, 7], [4, 5], [6, 1], [10, 1]], 1/1179648],
[[[1, 1], [2, 7], [6, 1], [10, 2], [14, 1]], 1/6720],
[[[1, 1], [2, 7], [6, 2], [8, 1], [10, 2]], 91/4608000],
[[[1, 1], [2, 7], [6, 3], [8, 1], [14, 1]], 1/96768],
[[[1, 1], [2, 7], [6, 3], [10, 1], [14, 1]], 1/15120],
[[[1, 1], [2, 7], [6, 4], [8, 1], [10, 1]], 1/103680],
[[[1, 1], [2, 7], [7, 1], [8, 1], [14, 1]], 1/430080],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 5]], 1/1492992],
[[[1, 1], [2, 9], [3, 1], [4, 2], [6, 4]], 1/663552],
[[[1, 1], [2, 9], [3, 1], [4, 3], [6, 3]], 1/9953280],
[[[1, 1], [2, 9], [3, 1], [4, 3], [14, 1]], 1/216760320],
[[[1, 1], [2, 9], [3, 1], [4, 4], [6, 2]], 1/17694720],
[[[1, 1], [2, 9], [3, 1], [6, 2], [10, 2]], 49/3456000],
[[[1, 1], [2, 9], [3, 1], [6, 3], [14, 1]], 1/193536],
[[[1, 1], [2, 9], [3, 1], [6, 4], [10, 1]], 1/82944],
[[[1, 1], [2, 9], [4, 1], [6, 2], [10, 2]], 823/18432000],
[[[1, 1], [2, 9], [4, 1], [6, 3], [14, 1]], 1/55296],
[[[1, 1], [2, 9], [4, 1], [6, 4], [8, 1]], 1/663552],
[[[1, 1], [2, 9], [4, 1], [6, 4], [10, 1]], 1/41472],
[[[1, 1], [2, 9], [4, 1], [7, 1], [14, 1]], 1/5160960],
[[[1, 1], [2, 9], [4, 1], [8, 1], [10, 2]], 1/4032000],
[[[1, 1], [2, 9], [4, 1], [8, 1], [16, 1]], 1/23592960],
[[[1, 1], [2, 9], [4, 2], [6, 1], [10, 2]], 133/18432000],
[[[1, 1], [2, 9], [4, 2], [6, 2], [14, 1]], 13/3440640],
[[[1, 1], [2, 9], [4, 2], [6, 3], [8, 1]], 1/6635520],
[[[1, 1], [2, 9], [4, 2], [6, 3], [10, 1]], 533/66355200],
[[[1, 1], [2, 9], [4, 2], [8, 1], [14, 1]], 1/144506880],
[[[1, 1], [2, 9], [4, 2], [10, 1], [14, 1]], 31/25804800],
[[[1, 1], [2, 9], [4, 3], [6, 1], [14, 1]], 1/491520],
[[[1, 1], [2, 9], [4, 3], [6, 2], [8, 1]], 1/3932160],
[[[1, 1], [2, 9], [4, 3], [6, 2], [10, 1]], 49/7372800],
[[[1, 1], [2, 9], [4, 3], [8, 1], [10, 1]], 1/22937600],
[[[1, 1], [2, 9], [4, 3], [8, 1], [12, 1]], 1/12386304],
[[[1, 1], [2, 9], [4, 4], [6, 1], [10, 1]], 1/3276800],
[[[1, 1], [2, 9], [6, 1], [8, 1], [10, 2]], 29/10752000],
[[[1, 1], [2, 9], [6, 2], [8, 1], [14, 1]], 1/860160],
[[[1, 1], [2, 9], [6, 2], [10, 1], [14, 1]], 11/268800],
[[[1, 1], [2, 9], [6, 3], [8, 1], [10, 1]], 13/3317760],
[[[1, 1], [2, 9], [8, 1], [10, 1], [14, 1]], 1/5017600],
[[[1, 1], [2, 11], [3, 1], [4, 1], [6, 4]], 17/119439360],
[[[1, 1], [2, 11], [3, 1], [4, 1], [10, 2]], 11/580608000],
[[[1, 1], [2, 11], [3, 1], [4, 2], [6, 3]], 1/5898240],
[[[1, 1], [2, 11], [3, 1], [4, 3], [6, 2]], 11/1857945600],
[[[1, 1], [2, 11], [3, 1], [4, 3], [10, 1]], 1/928972800],
[[[1, 1], [2, 11], [3, 1], [4, 4], [6, 1]], 1/1981808640],
[[[1, 1], [2, 11], [3, 1], [6, 1], [10, 2]], 1/6048000],
[[[1, 1], [2, 11], [3, 1], [6, 2], [14, 1]], 1/7741440],
[[[1, 1], [2, 11], [3, 1], [6, 3], [10, 1]], 13/5529600],
[[[1, 1], [2, 11], [4, 1], [6, 1], [10, 2]], 137/25804800],
[[[1, 1], [2, 11], [4, 1], [6, 2], [14, 1]], 23/10321920],
[[[1, 1], [2, 11], [4, 1], [6, 3], [8, 1]], 1/5308416],
[[[1, 1], [2, 11], [4, 1], [6, 3], [10, 1]], 581/66355200],
[[[1, 1], [2, 11], [4, 1], [8, 1], [14, 1]], 1/825753600],
[[[1, 1], [2, 11], [4, 1], [10, 1], [14, 1]], 59/180633600],
[[[1, 1], [2, 11], [4, 2], [6, 1], [14, 1]], 1/6021120],
[[[1, 1], [2, 11], [4, 2], [6, 2], [8, 1]], 11/1238630400],
[[[1, 1], [2, 11], [4, 2], [6, 2], [10, 1]], 227/154828800],
[[[1, 1], [2, 11], [4, 2], [8, 1], [10, 1]], 1/619315200],
[[[1, 1], [2, 11], [4, 3], [6, 1], [8, 1]], 1/206438400],
[[[1, 1], [2, 11], [4, 3], [6, 1], [10, 1]], 1/1720320],
[[[1, 1], [2, 11], [6, 1], [8, 1], [14, 1]], 1/45158400],
[[[1, 1], [2, 11], [6, 1], [10, 1], [14, 1]], 43/18063360],
[[[1, 1], [2, 11], [6, 2], [8, 1], [10, 1]], 131/387072000],
[[[1, 1], [2, 13], [3, 1], [4, 1], [6, 3]], 1/104509440],
[[[1, 1], [2, 13], [3, 1], [4, 1], [14, 1]], 1/13005619200],
[[[1, 1], [2, 13], [3, 1], [4, 2], [6, 2]], 1/309657600],
[[[1, 1], [2, 13], [3, 1], [4, 3], [6, 1]], 1/11147673600],
[[[1, 1], [2, 13], [3, 1], [6, 1], [14, 1]], 1/1238630400],
[[[1, 1], [2, 13], [3, 1], [6, 2], [10, 1]], 317/6193152000],
[[[1, 1], [2, 13], [4, 1], [6, 1], [14, 1]], 43/963379200],
[[[1, 1], [2, 13], [4, 1], [6, 2], [8, 1]], 53/9909043200],
[[[1, 1], [2, 13], [4, 1], [6, 2], [10, 1]], 4757/6193152000],
[[[1, 1], [2, 13], [4, 1], [8, 1], [10, 1]], 11/24772608000],
[[[1, 1], [2, 13], [4, 2], [6, 1], [8, 1]], 1/7431782400],
[[[1, 1], [2, 13], [4, 2], [6, 1], [10, 1]], 239/4644864000],
[[[1, 1], [2, 13], [6, 1], [8, 1], [10, 1]], 113/18579456000],
[[[1, 1], [2, 15], [3, 1], [4, 1], [6, 2]], 73/334430208000],
[[[1, 1], [2, 15], [3, 1], [4, 1], [10, 1]], 1/48771072000],
[[[1, 1], [2, 15], [3, 1], [4, 2], [6, 1]], 1/59454259200],
[[[1, 1], [2, 15], [3, 1], [6, 1], [10, 1]], 11/37158912000],
[[[1, 1], [2, 15], [4, 1], [6, 1], [8, 1]], 17/297271296000],
[[[1, 1], [2, 15], [4, 1], [6, 1], [10, 1]], 17/1189085184],
[[[1, 1], [2, 17], [3, 1], [4, 1], [6, 1]], 19/9364045824000],
[[[1, 2], [2, 2], [3, 1], [4, 3], [8, 3]], 1/12288],
[[[1, 2], [2, 2], [3, 1], [4, 8], [6, 1]], 1/1935360],
[[[1, 2], [2, 2], [3, 2], [4, 2], [14, 2]], 1/56448],
[[[1, 2], [2, 2], [3, 2], [5, 2], [8, 2]], 1/115200],
[[[1, 2], [2, 2], [4, 2], [5, 2], [8, 2]], 1/12800],
[[[1, 2], [2, 2], [4, 2], [6, 2], [7, 2]], 1/56448],
[[[1, 2], [2, 2], [4, 2], [8, 1], [28, 1]], 1/448],
[[[1, 2], [2, 2], [4, 2], [8, 2], [10, 2]], 1/12800],
[[[1, 2], [2, 2], [4, 2], [8, 2], [16, 1]], 11/2048],
[[[1, 2], [2, 2], [4, 2], [8, 2], [20, 1]], 1/640],
[[[1, 2], [2, 2], [4, 2], [12, 1], [28, 1]], 1/672],
[[[1, 2], [2, 2], [4, 2], [12, 2], [16, 1]], 1/1152],
[[[1, 2], [2, 2], [4, 2], [12, 2], [20, 1]], 1/1440],
[[[1, 2], [2, 2], [4, 2], [16, 1], [20, 1]], 1/320],
[[[1, 2], [2, 2], [4, 3], [6, 1], [8, 3]], 1/12288],
[[[1, 2], [2, 2], [4, 3], [7, 1], [8, 2]], 1/28672],
[[[1, 2], [2, 2], [4, 3], [8, 2], [14, 1]], 1/28672],
[[[1, 2], [2, 2], [4, 4], [5, 1], [8, 2]], 3/40960],
[[[1, 2], [2, 2], [4, 4], [7, 1], [14, 1]], 29/602112],
[[[1, 2], [2, 2], [4, 4], [8, 1], [12, 2]], 5/1536],
[[[1, 2], [2, 2], [4, 4], [8, 1], [16, 1]], 59/49152],
[[[1, 2], [2, 2], [4, 4], [8, 1], [20, 1]], 29/3840],
[[[1, 2], [2, 2], [4, 4], [8, 2], [10, 1]], 3/40960],
[[[1, 2], [2, 2], [4, 4], [8, 2], [12, 1]], 9/2048],
[[[1, 2], [2, 2], [4, 4], [12, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 2], [4, 4], [12, 1], [20, 1]], 59/11520],
[[[1, 2], [2, 2], [4, 6], [8, 1], [12, 1]], 17/7680],
[[[1, 2], [2, 2], [6, 2], [8, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 2], [7, 1], [8, 2], [14, 1]], 9/12544],
[[[1, 2], [2, 4], [3, 1], [4, 2], [8, 3]], 1/12288],
[[[1, 2], [2, 4], [3, 1], [4, 2], [14, 2]], 1/12544],
[[[1, 2], [2, 4], [3, 1], [4, 4], [8, 2]], 13/589824],
[[[1, 2], [2, 4], [3, 1], [5, 2], [10, 2]], 1/9000],
[[[1, 2], [2, 4], [3, 1], [6, 2], [10, 3]], 1/13500],
[[[1, 2], [2, 4], [3, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 4], [3, 2], [4, 1], [8, 3]], 1/73728],
[[[1, 2], [2, 4], [3, 2], [4, 4], [6, 3]], 1/55296],
[[[1, 2], [2, 4], [4, 1], [5, 1], [8, 3]], 1/20480],
[[[1, 2], [2, 4], [4, 1], [6, 2], [8, 3]], 1/36864],
[[[1, 2], [2, 4], [4, 1], [6, 2], [10, 3]], 1/72000],
[[[1, 2], [2, 4], [4, 1], [7, 2], [8, 1]], 1/150528],
[[[1, 2], [2, 4], [4, 1], [8, 1], [10, 3]], 1/8000],
[[[1, 2], [2, 4], [4, 1], [8, 1], [14, 2]], 5/50176],
[[[1, 2], [2, 4], [4, 1], [8, 2], [10, 2]], 1/19200],
[[[1, 2], [2, 4], [4, 1], [8, 2], [16, 1]], 5/32768],
[[[1, 2], [2, 4], [4, 1], [8, 3], [10, 1]], 1/10240],
[[[1, 2], [2, 4], [4, 1], [10, 1], [14, 2]], 1/15680],
[[[1, 2], [2, 4], [4, 2], [6, 1], [7, 2]], 1/225792],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 3]], 1/6144],
[[[1, 2], [2, 4], [4, 2], [6, 1], [10, 3]], 1/48000],
[[[1, 2], [2, 4], [4, 2], [6, 1], [14, 2]], 1/150528],
[[[1, 2], [2, 4], [4, 2], [6, 3], [10, 2]], 1/691200],
[[[1, 2], [2, 4], [4, 2], [7, 1], [8, 2]], 5/57344],
[[[1, 2], [2, 4], [4, 2], [7, 1], [16, 1]], 1/21504],
[[[1, 2], [2, 4], [4, 2], [8, 2], [14, 1]], 3/4096],
[[[1, 2], [2, 4], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 2], [2, 4], [4, 2], [14, 1], [16, 1]], 1/7168],
[[[1, 2], [2, 4], [4, 3], [5, 1], [8, 2]], 1/10240],
[[[1, 2], [2, 4], [4, 3], [6, 2], [8, 2]], 17/147456],
[[[1, 2], [2, 4], [4, 3], [6, 2], [10, 2]], 1/460800],
[[[1, 2], [2, 4], [4, 3], [6, 2], [16, 1]], 1/36864],
[[[1, 2], [2, 4], [4, 3], [7, 1], [14, 1]], 1/14336],
[[[1, 2], [2, 4], [4, 3], [8, 1], [10, 2]], 1/25600],
[[[1, 2], [2, 4], [4, 3], [8, 1], [16, 1]], 5/8192],
[[[1, 2], [2, 4], [4, 3], [8, 2], [10, 1]], 61/122880],
[[[1, 2], [2, 4], [4, 3], [8, 2], [12, 1]], 1/6144],
[[[1, 2], [2, 4], [4, 3], [10, 1], [16, 1]], 1/10240],
[[[1, 2], [2, 4], [4, 4], [6, 1], [8, 2]], 221/589824],
[[[1, 2], [2, 4], [4, 4], [6, 1], [10, 2]], 1/153600],
[[[1, 2], [2, 4], [4, 4], [6, 1], [16, 1]], 1/12288],
[[[1, 2], [2, 4], [4, 4], [6, 2], [7, 1]], 1/96768],
[[[1, 2], [2, 4], [4, 4], [7, 1], [8, 1]], 1/147456],
[[[1, 2], [2, 4], [4, 4], [7, 1], [10, 1]], 1/322560],
[[[1, 2], [2, 4], [4, 4], [8, 1], [14, 1]], 13/49152],
[[[1, 2], [2, 4], [4, 4], [10, 1], [14, 1]], 1/71680],
[[[1, 2], [2, 4], [4, 4], [12, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 4], [4, 5], [6, 2], [8, 1]], 19/3538944],
[[[1, 2], [2, 4], [4, 5], [8, 1], [10, 1]], 19/983040],
[[[1, 2], [2, 4], [4, 6], [6, 1], [8, 1]], 49/1179648],
[[[1, 2], [2, 4], [4, 6], [6, 1], [10, 1]], 11/5898240],
[[[1, 2], [2, 4], [5, 1], [7, 1], [10, 2]], 1/4200],
[[[1, 2], [2, 4], [6, 1], [8, 1], [10, 3]], 1/12000],
[[[1, 2], [2, 4], [6, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 2], [2, 4], [6, 1], [8, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 4], [6, 1], [10, 1], [14, 2]], 1/23520],
[[[1, 2], [2, 4], [6, 2], [7, 1], [8, 2]], 1/32256],
[[[1, 2], [2, 4], [6, 2], [8, 2], [14, 1]], 1/64512],
[[[1, 2], [2, 4], [6, 2], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 4], [6, 3], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 4], [6, 3], [8, 2], [10, 1]], 1/138240],
[[[1, 2], [2, 4], [7, 1], [8, 2], [10, 1]], 1/26880],
[[[1, 2], [2, 4], [8, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 2], [2, 4], [8, 2], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 6], [3, 1], [4, 1], [10, 3]], 1/36000],
[[[1, 2], [2, 6], [3, 1], [4, 1], [14, 2]], 1/225792],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 4]], 1/995328],
[[[1, 2], [2, 6], [3, 1], [4, 3], [8, 2]], 1/32768],
[[[1, 2], [2, 6], [3, 1], [4, 3], [10, 2]], 1/230400],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 3]], 17/884736],
[[[1, 2], [2, 6], [3, 1], [4, 4], [14, 1]], 1/516096],
[[[1, 2], [2, 6], [3, 1], [4, 5], [6, 2]], 1/589824],
[[[1, 2], [2, 6], [3, 1], [6, 1], [10, 3]], 7/54000],
[[[1, 2], [2, 6], [3, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 2], [2, 6], [3, 1], [6, 3], [8, 2]], 1/55296],
[[[1, 2], [2, 6], [3, 1], [6, 3], [10, 2]], 7/51840],
[[[1, 2], [2, 6], [3, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 6], [3, 2], [4, 2], [5, 2]], 1/16588800],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 4]], 41/746496],
[[[1, 2], [2, 6], [3, 2], [4, 2], [8, 2]], 5/884736],
[[[1, 2], [2, 6], [3, 2], [4, 2], [10, 2]], 1/1036800],
[[[1, 2], [2, 6], [3, 2], [4, 3], [6, 3]], 1/331776],
[[[1, 2], [2, 6], [3, 2], [4, 4], [6, 2]], 11/3538944],
[[[1, 2], [2, 6], [3, 2], [6, 2], [8, 2]], 1/73728],
[[[1, 2], [2, 6], [3, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 2], [2, 6], [4, 1], [6, 1], [8, 3]], 1/36864],
[[[1, 2], [2, 6], [4, 1], [6, 1], [10, 3]], 7/28800],
[[[1, 2], [2, 6], [4, 1], [6, 1], [14, 2]], 1/12544],
[[[1, 2], [2, 6], [4, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 2], [2, 6], [4, 1], [6, 3], [10, 2]], 11/86400],
[[[1, 2], [2, 6], [4, 1], [7, 1], [8, 2]], 1/344064],
[[[1, 2], [2, 6], [4, 1], [7, 1], [16, 1]], 1/322560],
[[[1, 2], [2, 6], [4, 1], [8, 2], [14, 1]], 1/1720320],
[[[1, 2], [2, 6], [4, 1], [10, 2], [14, 1]], 23/67200],
[[[1, 2], [2, 6], [4, 2], [5, 1], [8, 2]], 9/819200],
[[[1, 2], [2, 6], [4, 2], [5, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 6], [4, 2], [6, 2], [8, 2]], 55/294912],
[[[1, 2], [2, 6], [4, 2], [6, 2], [10, 2]], 167/921600],
[[[1, 2], [2, 6], [4, 2], [6, 2], [16, 1]], 1/36864],
[[[1, 2], [2, 6], [4, 2], [6, 3], [14, 1]], 1/129024],
[[[1, 2], [2, 6], [4, 2], [6, 4], [8, 1]], 1/663552],
[[[1, 2], [2, 6], [4, 2], [6, 4], [10, 1]], 1/207360],
[[[1, 2], [2, 6], [4, 2], [7, 1], [14, 1]], 53/860160],
[[[1, 2], [2, 6], [4, 2], [8, 1], [10, 2]], 13/153600],
[[[1, 2], [2, 6], [4, 2], [8, 1], [16, 1]], 5/73728],
[[[1, 2], [2, 6], [4, 2], [8, 2], [10, 1]], 431/2457600],
[[[1, 2], [2, 6], [4, 2], [8, 2], [12, 1]], 1/73728],
[[[1, 2], [2, 6], [4, 2], [10, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 6], [4, 3], [6, 1], [8, 2]], 37/184320],
[[[1, 2], [2, 6], [4, 3], [6, 1], [10, 2]], 53/921600],
[[[1, 2], [2, 6], [4, 3], [6, 1], [16, 1]], 1/36864],
[[[1, 2], [2, 6], [4, 3], [6, 2], [14, 1]], 5/172032],
[[[1, 2], [2, 6], [4, 3], [6, 3], [8, 1]], 5/442368],
[[[1, 2], [2, 6], [4, 3], [6, 3], [10, 1]], 23/1105920],
[[[1, 2], [2, 6], [4, 3], [7, 1], [8, 1]], 139/15482880],
[[[1, 2], [2, 6], [4, 3], [8, 1], [14, 1]], 1/172032],
[[[1, 2], [2, 6], [4, 3], [10, 1], [14, 1]], 29/430080],
[[[1, 2], [2, 6], [4, 4], [5, 1], [8, 1]], 1/245760],
[[[1, 2], [2, 6], [4, 4], [5, 1], [10, 1]], 1/122880],
[[[1, 2], [2, 6], [4, 4], [6, 1], [7, 1]], 17/7741440],
[[[1, 2], [2, 6], [4, 4], [6, 1], [14, 1]], 23/688128],
[[[1, 2], [2, 6], [4, 4], [6, 2], [8, 1]], 187/1769472],
[[[1, 2], [2, 6], [4, 4], [6, 2], [10, 1]], 11/368640],
[[[1, 2], [2, 6], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 2], [2, 6], [4, 4], [8, 1], [10, 1]], 121/1474560],
[[[1, 2], [2, 6], [4, 4], [8, 1], [12, 1]], 5/147456],
[[[1, 2], [2, 6], [4, 4], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 6], [4, 5], [6, 1], [8, 1]], 1/55296],
[[[1, 2], [2, 6], [4, 5], [6, 1], [10, 1]], 1/327680],
[[[1, 2], [2, 6], [5, 1], [7, 1], [14, 1]], 1/268800],
[[[1, 2], [2, 6], [6, 1], [7, 1], [8, 2]], 1/322560],
[[[1, 2], [2, 6], [6, 1], [8, 2], [14, 1]], 1/645120],
[[[1, 2], [2, 6], [6, 1], [10, 2], [14, 1]], 47/201600],
[[[1, 2], [2, 6], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 6], [6, 2], [8, 1], [10, 2]], 23/230400],
[[[1, 2], [2, 6], [6, 2], [8, 2], [10, 1]], 1/230400],
[[[1, 2], [2, 6], [6, 3], [8, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 6], [6, 3], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 6], [6, 4], [8, 1], [10, 1]], 1/41472],
[[[1, 2], [2, 6], [7, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 2], [2, 6], [7, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 5]], 1/373248],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 4]], 13/995328],
[[[1, 2], [2, 8], [3, 1], [4, 2], [8, 2]], 7/11796480],
[[[1, 2], [2, 8], [3, 1], [4, 2], [10, 2]], 1/138240],
[[[1, 2], [2, 8], [3, 1], [4, 2], [16, 1]], 1/15482880],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 3]], 449/39813120],
[[[1, 2], [2, 8], [3, 1], [4, 3], [14, 1]], 1/7741440],
[[[1, 2], [2, 8], [3, 1], [4, 4], [5, 1]], 107/1857945600],
[[[1, 2], [2, 8], [3, 1], [4, 4], [6, 2]], 37/10616832],
[[[1, 2], [2, 8], [3, 1], [4, 4], [8, 1]], 121/106168320],
[[[1, 2], [2, 8], [3, 1], [4, 4], [10, 1]], 1/2211840],
[[[1, 2], [2, 8], [3, 1], [4, 5], [6, 1]], 1/4718592],
[[[1, 2], [2, 8], [3, 1], [5, 1], [8, 2]], 1/77414400],
[[[1, 2], [2, 8], [3, 1], [5, 2], [10, 1]], 1/12096000],
[[[1, 2], [2, 8], [3, 1], [6, 2], [8, 2]], 1/552960],
[[[1, 2], [2, 8], [3, 1], [6, 2], [10, 2]], 263/2304000],
[[[1, 2], [2, 8], [3, 1], [6, 3], [14, 1]], 19/580608],
[[[1, 2], [2, 8], [3, 1], [6, 4], [8, 1]], 1/165888],
[[[1, 2], [2, 8], [3, 1], [6, 4], [10, 1]], 71/1244160],
[[[1, 2], [2, 8], [3, 1], [7, 1], [14, 1]], 1/1290240],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 4]], 1/248832],
[[[1, 2], [2, 8], [3, 2], [4, 1], [16, 1]], 1/46448640],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 3]], 115/11943936],
[[[1, 2], [2, 8], [3, 2], [4, 2], [14, 1]], 1/162570240],
[[[1, 2], [2, 8], [3, 2], [4, 3], [6, 2]], 1/3317760],
[[[1, 2], [2, 8], [3, 2], [4, 3], [8, 1]], 107/1114767360],
[[[1, 2], [2, 8], [3, 2], [6, 3], [10, 1]], 1/69120],
[[[1, 2], [2, 8], [4, 1], [5, 1], [16, 1]], 1/12902400],
[[[1, 2], [2, 8], [4, 1], [6, 2], [8, 2]], 1/983040],
[[[1, 2], [2, 8], [4, 1], [6, 2], [10, 2]], 2441/9216000],
[[[1, 2], [2, 8], [4, 1], [6, 3], [14, 1]], 25/387072],
[[[1, 2], [2, 8], [4, 1], [6, 4], [8, 1]], 23/1327104],
[[[1, 2], [2, 8], [4, 1], [6, 4], [10, 1]], 61/829440],
[[[1, 2], [2, 8], [4, 1], [7, 1], [14, 1]], 13/2580480],
[[[1, 2], [2, 8], [4, 1], [8, 1], [10, 2]], 1/64000],
[[[1, 2], [2, 8], [4, 1], [8, 1], [16, 1]], 1/737280],
[[[1, 2], [2, 8], [4, 1], [8, 2], [10, 1]], 1/5734400],
[[[1, 2], [2, 8], [4, 2], [6, 1], [8, 2]], 193/11796480],
[[[1, 2], [2, 8], [4, 2], [6, 1], [10, 2]], 979/9216000],
[[[1, 2], [2, 8], [4, 2], [6, 1], [16, 1]], 1/368640],
[[[1, 2], [2, 8], [4, 2], [6, 2], [14, 1]], 199/2580480],
[[[1, 2], [2, 8], [4, 2], [6, 3], [8, 1]], 29/1658880],
[[[1, 2], [2, 8], [4, 2], [6, 3], [10, 1]], 1717/16588800],
[[[1, 2], [2, 8], [4, 2], [7, 1], [8, 1]], 43/144506880],
[[[1, 2], [2, 8], [4, 2], [7, 1], [12, 1]], 1/13547520],
[[[1, 2], [2, 8], [4, 2], [8, 1], [14, 1]], 19/20643840],
[[[1, 2], [2, 8], [4, 2], [10, 1], [14, 1]], 773/12902400],
[[[1, 2], [2, 8], [4, 3], [5, 1], [8, 1]], 107/309657600],
[[[1, 2], [2, 8], [4, 3], [6, 1], [14, 1]], 17/860160],
[[[1, 2], [2, 8], [4, 3], [6, 2], [8, 1]], 17/3932160],
[[[1, 2], [2, 8], [4, 3], [6, 2], [10, 1]], 77/1843200],
[[[1, 2], [2, 8], [4, 3], [8, 1], [10, 1]], 17/9830400],
[[[1, 2], [2, 8], [4, 3], [8, 1], [12, 1]], 1/442368],
[[[1, 2], [2, 8], [4, 4], [6, 1], [8, 1]], 241/17694720],
[[[1, 2], [2, 8], [4, 4], [6, 1], [10, 1]], 391/29491200],
[[[1, 2], [2, 8], [4, 4], [6, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 8], [5, 1], [7, 1], [10, 1]], 1/5644800],
[[[1, 2], [2, 8], [6, 1], [7, 1], [14, 1]], 1/184320],
[[[1, 2], [2, 8], [6, 1], [8, 1], [10, 2]], 133/4608000],
[[[1, 2], [2, 8], [6, 1], [8, 2], [10, 1]], 19/51609600],
[[[1, 2], [2, 8], [6, 2], [8, 1], [14, 1]], 13/860160],
[[[1, 2], [2, 8], [6, 2], [10, 1], [14, 1]], 409/3225600],
[[[1, 2], [2, 8], [6, 3], [8, 1], [10, 1]], 533/16588800],
[[[1, 2], [2, 8], [8, 1], [10, 1], [14, 1]], 31/6451200],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 4]], 149/11943936],
[[[1, 2], [2, 10], [3, 1], [4, 1], [10, 2]], 17/32256000],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 3]], 313/79626240],
[[[1, 2], [2, 10], [3, 1], [4, 2], [14, 1]], 13/216760320],
[[[1, 2], [2, 10], [3, 1], [4, 3], [6, 2]], 61/46448640],
[[[1, 2], [2, 10], [3, 1], [4, 3], [10, 1]], 31/928972800],
[[[1, 2], [2, 10], [3, 1], [4, 4], [6, 1]], 803/5945425920],
[[[1, 2], [2, 10], [3, 1], [6, 1], [8, 2]], 1/61931520],
[[[1, 2], [2, 10], [3, 1], [6, 1], [10, 2]], 71/12096000],
[[[1, 2], [2, 10], [3, 1], [6, 2], [14, 1]], 29/7741440],
[[[1, 2], [2, 10], [3, 1], [6, 3], [8, 1]], 1/1474560],
[[[1, 2], [2, 10], [3, 1], [6, 3], [10, 1]], 287/9953280],
[[[1, 2], [2, 10], [3, 1], [10, 1], [14, 1]], 1/7526400],
[[[1, 2], [2, 10], [3, 2], [4, 1], [6, 3]], 1/2211840],
[[[1, 2], [2, 10], [3, 2], [4, 2], [6, 2]], 2113/11147673600],
[[[1, 2], [2, 10], [3, 2], [4, 2], [10, 1]], 1/696729600],
[[[1, 2], [2, 10], [3, 2], [4, 3], [6, 1]], 1/371589120],
[[[1, 2], [2, 10], [3, 2], [6, 2], [10, 1]], 1/5529600],
[[[1, 2], [2, 10], [4, 1], [6, 1], [8, 2]], 1/51609600],
[[[1, 2], [2, 10], [4, 1], [6, 1], [10, 2]], 1621/25804800],
[[[1, 2], [2, 10], [4, 1], [6, 2], [14, 1]], 33/1146880],
[[[1, 2], [2, 10], [4, 1], [6, 3], [8, 1]], 137/26542080],
[[[1, 2], [2, 10], [4, 1], [6, 3], [10, 1]], 5299/66355200],
[[[1, 2], [2, 10], [4, 1], [8, 1], [14, 1]], 19/144506880],
[[[1, 2], [2, 10], [4, 1], [10, 1], [14, 1]], 163/20070400],
[[[1, 2], [2, 10], [4, 2], [5, 1], [10, 1]], 1/5734400],
[[[1, 2], [2, 10], [4, 2], [6, 1], [14, 1]], 1349/144506880],
[[[1, 2], [2, 10], [4, 2], [6, 2], [8, 1]], 53/24772608],
[[[1, 2], [2, 10], [4, 2], [6, 2], [10, 1]], 6103/154828800],
[[[1, 2], [2, 10], [4, 2], [8, 1], [10, 1]], 13/38707200],
[[[1, 2], [2, 10], [4, 2], [8, 1], [12, 1]], 1/61931520],
[[[1, 2], [2, 10], [4, 3], [6, 1], [8, 1]], 17/82575360],
[[[1, 2], [2, 10], [4, 3], [6, 1], [10, 1]], 409/51609600],
[[[1, 2], [2, 10], [6, 1], [8, 1], [14, 1]], 1/1505280],
[[[1, 2], [2, 10], [6, 1], [10, 1], [14, 1]], 3491/180633600],
[[[1, 2], [2, 10], [6, 2], [8, 1], [10, 1]], 227/38707200],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 3]], 25687/16721510400],
[[[1, 2], [2, 12], [3, 1], [4, 1], [14, 1]], 1/270950400],
[[[1, 2], [2, 12], [3, 1], [4, 2], [6, 2]], 373/1857945600],
[[[1, 2], [2, 12], [3, 1], [4, 2], [8, 1]], 1/14863564800],
[[[1, 2], [2, 12], [3, 1], [4, 2], [10, 1]], 1/61931520],
[[[1, 2], [2, 12], [3, 1], [4, 3], [6, 1]], 173/11147673600],
[[[1, 2], [2, 12], [3, 1], [6, 1], [14, 1]], 83/1734082560],
[[[1, 2], [2, 12], [3, 1], [6, 2], [8, 1]], 1/77414400],
[[[1, 2], [2, 12], [3, 1], [6, 2], [10, 1]], 30943/18579456000],
[[[1, 2], [2, 12], [3, 2], [4, 1], [6, 2]], 1/116121600],
[[[1, 2], [2, 12], [3, 2], [4, 2], [6, 1]], 1/8360755200],
[[[1, 2], [2, 12], [4, 1], [6, 1], [14, 1]], 479/361267200],
[[[1, 2], [2, 12], [4, 1], [6, 2], [8, 1]], 125/396361728],
[[[1, 2], [2, 12], [4, 1], [6, 2], [10, 1]], 377/27648000],
[[[1, 2], [2, 12], [4, 1], [8, 1], [10, 1]], 39/917504000],
[[[1, 2], [2, 12], [4, 2], [6, 1], [8, 1]], 1313/29727129600],
[[[1, 2], [2, 12], [4, 2], [6, 1], [10, 1]], 478073/148635648000],
[[[1, 2], [2, 12], [6, 1], [8, 1], [10, 1]], 239/1161216000],
[[[1, 2], [2, 14], [3, 1], [4, 1], [6, 2]], 667/19110297600],
[[[1, 2], [2, 14], [3, 1], [4, 1], [8, 1]], 1/624269721600],
[[[1, 2], [2, 14], [3, 1], [4, 1], [10, 1]], 59/55738368000],
[[[1, 2], [2, 14], [3, 1], [4, 2], [6, 1]], 443/178362777600],
[[[1, 2], [2, 14], [3, 1], [6, 1], [8, 1]], 1/14863564800],
[[[1, 2], [2, 14], [3, 1], [6, 1], [10, 1]], 491/27869184000],
[[[1, 2], [2, 14], [3, 2], [4, 1], [6, 1]], 1/22295347200],
[[[1, 2], [2, 14], [4, 1], [6, 1], [8, 1]], 31/5945425920],
[[[1, 2], [2, 14], [4, 1], [6, 1], [10, 1]], 1031/2123366400],
[[[1, 2], [2, 16], [3, 1], [4, 1], [6, 1]], 9763/37456183296000],
[[[1, 2], [3, 1], [4, 4], [5, 1], [8, 2]], 1/46080],
[[[1, 2], [3, 1], [4, 4], [8, 1], [16, 1]], 1/12288],
[[[1, 2], [4, 1], [5, 1], [8, 2], [16, 1]], 1/1280],
[[[1, 2], [4, 2], [7, 1], [8, 1], [16, 1]], 1/1792],
[[[1, 2], [4, 2], [7, 1], [8, 2], [12, 1]], 1/2688],
[[[1, 3], [2, 1], [3, 1], [4, 5], [8, 2]], 17/294912],
[[[1, 3], [2, 1], [3, 2], [4, 4], [8, 2]], 1/110592],
[[[1, 3], [2, 1], [3, 2], [5, 3], [8, 1]], 1/36000],
[[[1, 3], [2, 1], [4, 1], [7, 1], [8, 3]], 1/7168],
[[[1, 3], [2, 1], [4, 1], [8, 3], [14, 1]], 1/14336],
[[[1, 3], [2, 1], [4, 2], [5, 1], [8, 3]], 1/5120],
[[[1, 3], [2, 1], [4, 2], [7, 2], [8, 1]], 1/50176],
[[[1, 3], [2, 1], [4, 2], [8, 2], [16, 1]], 1/1536],
[[[1, 3], [2, 1], [4, 2], [8, 3], [10, 1]], 1/10240],
[[[1, 3], [2, 1], [4, 3], [6, 1], [7, 2]], 1/75264],
[[[1, 3], [2, 1], [4, 3], [7, 1], [8, 2]], 1/3584],
[[[1, 3], [2, 1], [4, 3], [7, 1], [16, 1]], 1/7168],
[[[1, 3], [2, 1], [4, 4], [5, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 1], [4, 4], [8, 1], [16, 1]], 1/16384],
[[[1, 3], [2, 1], [4, 5], [7, 1], [8, 1]], 19/688128],
[[[1, 3], [2, 1], [5, 1], [7, 2], [8, 1]], 1/7840],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 3]], 7/49152],
[[[1, 3], [2, 3], [3, 1], [4, 2], [14, 2]], 1/37632],
[[[1, 3], [2, 3], [3, 1], [4, 4], [8, 2]], 17/98304],
[[[1, 3], [2, 3], [3, 1], [4, 5], [14, 1]], 1/73728],
[[[1, 3], [2, 3], [3, 1], [4, 7], [6, 1]], 1/69120],
[[[1, 3], [2, 3], [3, 1], [5, 2], [8, 2]], 1/38400],
[[[1, 3], [2, 3], [3, 1], [5, 2], [10, 2]], 1/3000],
[[[1, 3], [2, 3], [3, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 3], [2, 3], [3, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 3]], 1/432000],
[[[1, 3], [2, 3], [3, 2], [4, 1], [8, 3]], 1/73728],
[[[1, 3], [2, 3], [3, 2], [4, 1], [14, 2]], 1/28224],
[[[1, 3], [2, 3], [3, 2], [4, 3], [5, 2]], 1/2764800],
[[[1, 3], [2, 3], [3, 2], [4, 3], [8, 2]], 5/147456],
[[[1, 3], [2, 3], [3, 2], [4, 4], [14, 1]], 1/387072],
[[[1, 3], [2, 3], [3, 2], [4, 5], [6, 2]], 1/147456],
[[[1, 3], [2, 3], [3, 2], [7, 1], [8, 2]], 1/64512],
[[[1, 3], [2, 3], [3, 2], [8, 2], [14, 1]], 1/32256],
[[[1, 3], [2, 3], [3, 3], [4, 3], [6, 3]], 1/20736],
[[[1, 3], [2, 3], [3, 3], [5, 1], [8, 2]], 1/138240],
[[[1, 3], [2, 3], [3, 3], [5, 2], [8, 1]], 1/172800],
[[[1, 3], [2, 3], [4, 1], [5, 1], [7, 2]], 1/94080],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 3]], 1/61440],
[[[1, 3], [2, 3], [4, 1], [5, 2], [8, 2]], 1/6400],
[[[1, 3], [2, 3], [4, 1], [5, 2], [10, 2]], 1/1000],
[[[1, 3], [2, 3], [4, 1], [6, 2], [7, 2]], 1/28224],
[[[1, 3], [2, 3], [4, 1], [6, 2], [8, 3]], 1/73728],
[[[1, 3], [2, 3], [4, 1], [6, 2], [10, 3]], 1/432000],
[[[1, 3], [2, 3], [4, 1], [7, 2], [8, 1]], 1/25088],
[[[1, 3], [2, 3], [4, 1], [8, 1], [14, 2]], 1/25088],
[[[1, 3], [2, 3], [4, 1], [8, 1], [28, 1]], 1/2688],
[[[1, 3], [2, 3], [4, 1], [8, 2], [10, 2]], 1/6400],
[[[1, 3], [2, 3], [4, 1], [8, 2], [16, 1]], 13/4096],
[[[1, 3], [2, 3], [4, 1], [8, 3], [10, 1]], 1/61440],
[[[1, 3], [2, 3], [4, 1], [10, 1], [14, 2]], 1/94080],
[[[1, 3], [2, 3], [4, 2], [6, 1], [7, 2]], 1/37632],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 3]], 7/49152],
[[[1, 3], [2, 3], [4, 2], [7, 1], [8, 2]], 5/28672],
[[[1, 3], [2, 3], [4, 2], [7, 1], [16, 1]], 1/3584],
[[[1, 3], [2, 3], [4, 2], [8, 2], [14, 1]], 5/28672],
[[[1, 3], [2, 3], [4, 2], [14, 1], [16, 1]], 1/3584],
[[[1, 3], [2, 3], [4, 3], [5, 1], [8, 2]], 1/2560],
[[[1, 3], [2, 3], [4, 3], [5, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 3], [4, 3], [5, 2], [8, 1]], 1/25600],
[[[1, 3], [2, 3], [4, 3], [5, 2], [10, 1]], 1/6400],
[[[1, 3], [2, 3], [4, 3], [6, 2], [8, 2]], 5/147456],
[[[1, 3], [2, 3], [4, 3], [6, 2], [10, 2]], 1/2764800],
[[[1, 3], [2, 3], [4, 3], [7, 1], [14, 1]], 51/100352],
[[[1, 3], [2, 3], [4, 3], [8, 1], [10, 2]], 1/25600],
[[[1, 3], [2, 3], [4, 3], [8, 1], [12, 2]], 19/13824],
[[[1, 3], [2, 3], [4, 3], [8, 1], [16, 1]], 1267/294912],
[[[1, 3], [2, 3], [4, 3], [8, 1], [20, 1]], 37/11520],
[[[1, 3], [2, 3], [4, 3], [8, 2], [10, 1]], 1/2560],
[[[1, 3], [2, 3], [4, 3], [8, 2], [12, 1]], 13/6144],
[[[1, 3], [2, 3], [4, 3], [12, 1], [16, 1]], 1/768],
[[[1, 3], [2, 3], [4, 3], [12, 1], [20, 1]], 1/640],
[[[1, 3], [2, 3], [4, 4], [5, 1], [14, 1]], 1/107520],
[[[1, 3], [2, 3], [4, 4], [6, 1], [8, 2]], 17/98304],
[[[1, 3], [2, 3], [4, 4], [6, 2], [7, 1]], 1/387072],
[[[1, 3], [2, 3], [4, 4], [7, 1], [8, 1]], 17/344064],
[[[1, 3], [2, 3], [4, 4], [7, 1], [10, 1]], 1/107520],
[[[1, 3], [2, 3], [4, 4], [8, 1], [14, 1]], 17/344064],
[[[1, 3], [2, 3], [4, 5], [5, 1], [8, 1]], 1/16384],
[[[1, 3], [2, 3], [4, 5], [5, 1], [10, 1]], 1/40960],
[[[1, 3], [2, 3], [4, 5], [6, 1], [7, 1]], 1/73728],
[[[1, 3], [2, 3], [4, 5], [8, 1], [10, 1]], 1/16384],
[[[1, 3], [2, 3], [4, 5], [8, 1], [12, 1]], 10501/2211840],
[[[1, 3], [2, 3], [5, 1], [7, 1], [8, 2]], 1/17920],
[[[1, 3], [2, 3], [5, 1], [7, 1], [10, 2]], 1/1400],
[[[1, 3], [2, 3], [5, 1], [8, 2], [14, 1]], 1/8960],
[[[1, 3], [2, 3], [5, 2], [6, 1], [10, 2]], 1/3000],
[[[1, 3], [2, 3], [5, 2], [10, 1], [14, 1]], 1/1400],
[[[1, 3], [2, 3], [6, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 3], [2, 3], [6, 1], [8, 1], [14, 2]], 1/37632],
[[[1, 3], [2, 3], [6, 1], [8, 2], [10, 2]], 1/38400],
[[[1, 3], [2, 3], [6, 2], [7, 1], [8, 2]], 1/32256],
[[[1, 3], [2, 3], [6, 2], [8, 2], [14, 1]], 1/64512],
[[[1, 3], [2, 3], [6, 3], [8, 1], [10, 2]], 1/172800],
[[[1, 3], [2, 3], [6, 3], [8, 2], [10, 1]], 1/138240],
[[[1, 3], [2, 3], [7, 1], [8, 2], [10, 1]], 1/8960],
[[[1, 3], [2, 3], [8, 2], [10, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 5], [3, 1], [4, 1], [7, 2]], 1/451584],
[[[1, 3], [2, 5], [3, 1], [4, 1], [8, 3]], 1/49152],
[[[1, 3], [2, 5], [3, 1], [4, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 5], [3, 1], [4, 1], [14, 2]], 37/451584],
[[[1, 3], [2, 5], [3, 1], [4, 3], [5, 2]], 1/460800],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 4]], 1/1990656],
[[[1, 3], [2, 5], [3, 1], [4, 3], [8, 2]], 1051/5898240],
[[[1, 3], [2, 5], [3, 1], [4, 3], [10, 2]], 7/460800],
[[[1, 3], [2, 5], [3, 1], [4, 3], [16, 1]], 1/36864],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 3]], 107/5308416],
[[[1, 3], [2, 5], [3, 1], [4, 4], [14, 1]], 1/86016],
[[[1, 3], [2, 5], [3, 1], [4, 5], [5, 1]], 7/8847360],
[[[1, 3], [2, 5], [3, 1], [4, 5], [6, 2]], 401/5308416],
[[[1, 3], [2, 5], [3, 1], [4, 5], [8, 1]], 89/3538944],
[[[1, 3], [2, 5], [3, 1], [4, 5], [10, 1]], 7/2211840],
[[[1, 3], [2, 5], [3, 1], [4, 6], [6, 1]], 11/4718592],
[[[1, 3], [2, 5], [3, 1], [6, 1], [10, 3]], 1/7200],
[[[1, 3], [2, 5], [3, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 3], [2, 5], [3, 1], [6, 3], [8, 2]], 5/110592],
[[[1, 3], [2, 5], [3, 1], [6, 3], [10, 2]], 1/8640],
[[[1, 3], [2, 5], [3, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 3], [2, 5], [3, 2], [4, 2], [5, 2]], 1/1382400],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 4]], 41/373248],
[[[1, 3], [2, 5], [3, 2], [4, 2], [8, 2]], 53/884736],
[[[1, 3], [2, 5], [3, 2], [4, 2], [10, 2]], 1/172800],
[[[1, 3], [2, 5], [3, 2], [4, 2], [16, 1]], 1/110592],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 3]], 515/1990656],
[[[1, 3], [2, 5], [3, 2], [4, 3], [14, 1]], 1/387072],
[[[1, 3], [2, 5], [3, 2], [4, 4], [6, 2]], 923/15925248],
[[[1, 3], [2, 5], [3, 2], [4, 4], [8, 1]], 7/5308416],
[[[1, 3], [2, 5], [3, 2], [4, 4], [10, 1]], 1/1658880],
[[[1, 3], [2, 5], [3, 2], [5, 1], [10, 2]], 1/21600],
[[[1, 3], [2, 5], [3, 2], [5, 2], [8, 1]], 1/2764800],
[[[1, 3], [2, 5], [3, 2], [6, 2], [8, 2]], 29/331776],
[[[1, 3], [2, 5], [3, 2], [6, 2], [10, 2]], 1/8640],
[[[1, 3], [2, 5], [3, 2], [8, 2], [10, 1]], 1/138240],
[[[1, 3], [2, 5], [3, 3], [4, 1], [5, 2]], 1/2073600],
[[[1, 3], [2, 5], [3, 3], [4, 1], [8, 2]], 1/110592],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 3]], 11/124416],
[[[1, 3], [2, 5], [3, 3], [4, 3], [6, 2]], 13/663552],
[[[1, 3], [2, 5], [3, 3], [6, 1], [8, 2]], 1/110592],
[[[1, 3], [2, 5], [4, 1], [6, 1], [7, 2]], 5/903168],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 3]], 31/737280],
[[[1, 3], [2, 5], [4, 1], [6, 1], [10, 3]], 7/108000],
[[[1, 3], [2, 5], [4, 1], [6, 1], [14, 2]], 1/16128],
[[[1, 3], [2, 5], [4, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 3], [2, 5], [4, 1], [6, 3], [10, 2]], 13/259200],
[[[1, 3], [2, 5], [4, 1], [7, 1], [8, 2]], 11/172032],
[[[1, 3], [2, 5], [4, 1], [7, 1], [16, 1]], 1/43008],
[[[1, 3], [2, 5], [4, 1], [8, 2], [14, 1]], 3/57344],
[[[1, 3], [2, 5], [4, 1], [10, 2], [14, 1]], 1/7200],
[[[1, 3], [2, 5], [4, 1], [14, 1], [16, 1]], 1/86016],
[[[1, 3], [2, 5], [4, 2], [5, 1], [8, 2]], 113/737280],
[[[1, 3], [2, 5], [4, 2], [5, 1], [10, 2]], 3/6400],
[[[1, 3], [2, 5], [4, 2], [5, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 5], [4, 2], [5, 2], [8, 1]], 1/76800],
[[[1, 3], [2, 5], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 3], [2, 5], [4, 2], [6, 2], [10, 2]], 71/921600],
[[[1, 3], [2, 5], [4, 2], [6, 2], [16, 1]], 1/12288],
[[[1, 3], [2, 5], [4, 2], [6, 3], [14, 1]], 1/387072],
[[[1, 3], [2, 5], [4, 2], [6, 4], [8, 1]], 1/1327104],
[[[1, 3], [2, 5], [4, 2], [6, 4], [10, 1]], 1/829440],
[[[1, 3], [2, 5], [4, 2], [7, 1], [14, 1]], 3/7168],
[[[1, 3], [2, 5], [4, 2], [8, 1], [10, 2]], 33/102400],
[[[1, 3], [2, 5], [4, 2], [8, 1], [16, 1]], 65/196608],
[[[1, 3], [2, 5], [4, 2], [8, 2], [10, 1]], 25/24576],
[[[1, 3], [2, 5], [4, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 3], [2, 5], [4, 2], [10, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 5], [4, 3], [5, 1], [7, 1]], 1/215040],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 2]], 31/32768],
[[[1, 3], [2, 5], [4, 3], [6, 1], [10, 2]], 199/2764800],
[[[1, 3], [2, 5], [4, 3], [6, 1], [16, 1]], 1/8192],
[[[1, 3], [2, 5], [4, 3], [6, 2], [7, 1]], 1/18432],
[[[1, 3], [2, 5], [4, 3], [6, 2], [14, 1]], 19/1548288],
[[[1, 3], [2, 5], [4, 3], [6, 3], [8, 1]], 5/442368],
[[[1, 3], [2, 5], [4, 3], [6, 3], [10, 1]], 19/3317760],
[[[1, 3], [2, 5], [4, 3], [7, 1], [8, 1]], 311/4128768],
[[[1, 3], [2, 5], [4, 3], [7, 1], [10, 1]], 1/26880],
[[[1, 3], [2, 5], [4, 3], [7, 1], [12, 1]], 1/32256],
[[[1, 3], [2, 5], [4, 3], [8, 1], [14, 1]], 281/516096],
[[[1, 3], [2, 5], [4, 3], [10, 1], [14, 1]], 127/1290240],
[[[1, 3], [2, 5], [4, 3], [12, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 5], [4, 4], [5, 1], [6, 2]], 1/138240],
[[[1, 3], [2, 5], [4, 4], [5, 1], [8, 1]], 13/368640],
[[[1, 3], [2, 5], [4, 4], [5, 1], [10, 1]], 47/921600],
[[[1, 3], [2, 5], [4, 4], [6, 1], [7, 1]], 11/774144],
[[[1, 3], [2, 5], [4, 4], [6, 1], [14, 1]], 1/57344],
[[[1, 3], [2, 5], [4, 4], [6, 2], [8, 1]], 11/73728],
[[[1, 3], [2, 5], [4, 4], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 5], [4, 4], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 5], [4, 4], [8, 1], [10, 1]], 247/737280],
[[[1, 3], [2, 5], [4, 4], [8, 1], [12, 1]], 5/24576],
[[[1, 3], [2, 5], [4, 4], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 5], [4, 5], [5, 1], [6, 1]], 1/245760],
[[[1, 3], [2, 5], [4, 5], [6, 1], [8, 1]], 881/2359296],
[[[1, 3], [2, 5], [4, 5], [6, 1], [10, 1]], 83/1966080],
[[[1, 3], [2, 5], [4, 5], [6, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 5], [5, 1], [6, 2], [8, 2]], 1/46080],
[[[1, 3], [2, 5], [5, 1], [7, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 5], [5, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 5], [5, 1], [8, 2], [10, 1]], 1/38400],
[[[1, 3], [2, 5], [5, 2], [6, 2], [10, 1]], 1/7200],
[[[1, 3], [2, 5], [6, 1], [7, 1], [8, 2]], 1/32256],
[[[1, 3], [2, 5], [6, 1], [8, 2], [14, 1]], 1/64512],
[[[1, 3], [2, 5], [6, 1], [10, 2], [14, 1]], 1/11200],
[[[1, 3], [2, 5], [6, 2], [7, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 5], [6, 2], [8, 1], [10, 2]], 53/460800],
[[[1, 3], [2, 5], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 3], [2, 5], [6, 3], [8, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 5], [6, 3], [10, 1], [14, 1]], 1/30240],
[[[1, 3], [2, 5], [6, 4], [8, 1], [10, 1]], 1/51840],
[[[1, 3], [2, 5], [7, 1], [8, 1], [14, 1]], 5/28672],
[[[1, 3], [2, 5], [7, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 5]], 1/248832],
[[[1, 3], [2, 7], [3, 1], [4, 2], [5, 2]], 1/5529600],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 4]], 7/248832],
[[[1, 3], [2, 7], [3, 1], [4, 2], [8, 2]], 3089/123863040],
[[[1, 3], [2, 7], [3, 1], [4, 2], [10, 2]], 37/691200],
[[[1, 3], [2, 7], [3, 1], [4, 2], [16, 1]], 1/552960],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 3]], 299/1990656],
[[[1, 3], [2, 7], [3, 1], [4, 3], [7, 1]], 1/774144],
[[[1, 3], [2, 7], [3, 1], [4, 3], [14, 1]], 131/10321920],
[[[1, 3], [2, 7], [3, 1], [4, 4], [5, 1]], 47/66355200],
[[[1, 3], [2, 7], [3, 1], [4, 4], [6, 2]], 2353/53084160],
[[[1, 3], [2, 7], [3, 1], [4, 4], [8, 1]], 1423/106168320],
[[[1, 3], [2, 7], [3, 1], [4, 4], [10, 1]], 1/245760],
[[[1, 3], [2, 7], [3, 1], [4, 5], [6, 1]], 2681/212336640],
[[[1, 3], [2, 7], [3, 1], [5, 1], [8, 2]], 1/2764800],
[[[1, 3], [2, 7], [3, 1], [5, 2], [10, 1]], 1/432000],
[[[1, 3], [2, 7], [3, 1], [6, 2], [8, 2]], 23/1105920],
[[[1, 3], [2, 7], [3, 1], [6, 2], [10, 2]], 1/3456],
[[[1, 3], [2, 7], [3, 1], [6, 3], [14, 1]], 1/13824],
[[[1, 3], [2, 7], [3, 1], [6, 4], [8, 1]], 13/497664],
[[[1, 3], [2, 7], [3, 1], [6, 4], [10, 1]], 61/622080],
[[[1, 3], [2, 7], [3, 1], [7, 1], [14, 1]], 11/645120],
[[[1, 3], [2, 7], [3, 1], [8, 1], [10, 2]], 1/345600],
[[[1, 3], [2, 7], [3, 2], [4, 1], [5, 2]], 1/33177600],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 4]], 47/373248],
[[[1, 3], [2, 7], [3, 2], [4, 1], [8, 2]], 1/1769472],
[[[1, 3], [2, 7], [3, 2], [4, 1], [10, 2]], 1/518400],
[[[1, 3], [2, 7], [3, 2], [4, 1], [16, 1]], 29/46448640],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 3]], 1633/14929920],
[[[1, 3], [2, 7], [3, 2], [4, 2], [7, 1]], 1/9289728],
[[[1, 3], [2, 7], [3, 2], [4, 2], [14, 1]], 1/5806080],
[[[1, 3], [2, 7], [3, 2], [4, 3], [5, 1]], 1/1658880],
[[[1, 3], [2, 7], [3, 2], [4, 3], [6, 2]], 617/13271040],
[[[1, 3], [2, 7], [3, 2], [4, 3], [8, 1]], 6469/1114767360],
[[[1, 3], [2, 7], [3, 2], [4, 3], [10, 1]], 1/1658880],
[[[1, 3], [2, 7], [3, 2], [4, 4], [6, 1]], 31/19906560],
[[[1, 3], [2, 7], [3, 2], [6, 1], [8, 2]], 1/1658880],
[[[1, 3], [2, 7], [3, 2], [6, 1], [10, 2]], 1/43200],
[[[1, 3], [2, 7], [3, 2], [6, 2], [14, 1]], 1/48384],
[[[1, 3], [2, 7], [3, 2], [6, 3], [8, 1]], 7/110592],
[[[1, 3], [2, 7], [3, 2], [6, 3], [10, 1]], 1/11520],
[[[1, 3], [2, 7], [3, 3], [4, 1], [6, 3]], 1/41472],
[[[1, 3], [2, 7], [3, 3], [4, 2], [5, 1]], 1/19906560],
[[[1, 3], [2, 7], [3, 3], [4, 2], [6, 2]], 11/4976640],
[[[1, 3], [2, 7], [3, 3], [4, 2], [8, 1]], 1/1327104],
[[[1, 3], [2, 7], [3, 3], [6, 2], [8, 1]], 1/110592],
[[[1, 3], [2, 7], [4, 1], [5, 1], [8, 2]], 1/491520],
[[[1, 3], [2, 7], [4, 1], [5, 1], [10, 2]], 19/230400],
[[[1, 3], [2, 7], [4, 1], [5, 1], [16, 1]], 17/7741440],
[[[1, 3], [2, 7], [4, 1], [5, 2], [10, 1]], 1/384000],
[[[1, 3], [2, 7], [4, 1], [6, 2], [8, 2]], 13/589824],
[[[1, 3], [2, 7], [4, 1], [6, 2], [10, 2]], 22321/55296000],
[[[1, 3], [2, 7], [4, 1], [6, 2], [16, 1]], 1/442368],
[[[1, 3], [2, 7], [4, 1], [6, 3], [14, 1]], 25/290304],
[[[1, 3], [2, 7], [4, 1], [6, 4], [8, 1]], 7/165888],
[[[1, 3], [2, 7], [4, 1], [6, 4], [10, 1]], 5/62208],
[[[1, 3], [2, 7], [4, 1], [7, 1], [14, 1]], 1/18432],
[[[1, 3], [2, 7], [4, 1], [8, 1], [10, 2]], 1/9216],
[[[1, 3], [2, 7], [4, 1], [8, 1], [16, 1]], 9/655360],
[[[1, 3], [2, 7], [4, 1], [8, 2], [10, 1]], 101/7372800],
[[[1, 3], [2, 7], [4, 1], [10, 1], [16, 1]], 1/368640],
[[[1, 3], [2, 7], [4, 2], [5, 1], [7, 1]], 1/2580480],
[[[1, 3], [2, 7], [4, 2], [6, 1], [8, 2]], 1673/5898240],
[[[1, 3], [2, 7], [4, 2], [6, 1], [10, 2]], 11/28800],
[[[1, 3], [2, 7], [4, 2], [6, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 7], [4, 2], [6, 2], [14, 1]], 41/258048],
[[[1, 3], [2, 7], [4, 2], [6, 3], [8, 1]], 125/1327104],
[[[1, 3], [2, 7], [4, 2], [6, 3], [10, 1]], 289/1658880],
[[[1, 3], [2, 7], [4, 2], [7, 1], [8, 1]], 197/20643840],
[[[1, 3], [2, 7], [4, 2], [7, 1], [12, 1]], 1/483840],
[[[1, 3], [2, 7], [4, 2], [8, 1], [14, 1]], 71/2293760],
[[[1, 3], [2, 7], [4, 2], [10, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 7], [4, 3], [5, 1], [8, 1]], 5713/464486400],
[[[1, 3], [2, 7], [4, 3], [5, 1], [10, 1]], 229/3686400],
[[[1, 3], [2, 7], [4, 3], [6, 1], [7, 1]], 11/1474560],
[[[1, 3], [2, 7], [4, 3], [6, 1], [14, 1]], 283/2211840],
[[[1, 3], [2, 7], [4, 3], [6, 2], [8, 1]], 1709/6635520],
[[[1, 3], [2, 7], [4, 3], [6, 2], [10, 1]], 1997/11059200],
[[[1, 3], [2, 7], [4, 3], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 7], [4, 3], [8, 1], [10, 1]], 8419/44236800],
[[[1, 3], [2, 7], [4, 3], [8, 1], [12, 1]], 7/294912],
[[[1, 3], [2, 7], [4, 3], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 7], [4, 4], [5, 1], [6, 1]], 17/11059200],
[[[1, 3], [2, 7], [4, 4], [6, 1], [8, 1]], 67/491520],
[[[1, 3], [2, 7], [4, 4], [6, 1], [10, 1]], 341/5898240],
[[[1, 3], [2, 7], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 3], [2, 7], [5, 1], [6, 1], [8, 2]], 1/460800],
[[[1, 3], [2, 7], [5, 1], [7, 1], [10, 1]], 1/201600],
[[[1, 3], [2, 7], [5, 2], [6, 1], [10, 1]], 1/72000],
[[[1, 3], [2, 7], [6, 1], [7, 1], [14, 1]], 11/129024],
[[[1, 3], [2, 7], [6, 1], [8, 1], [10, 2]], 1/10240],
[[[1, 3], [2, 7], [6, 1], [8, 2], [10, 1]], 1/204800],
[[[1, 3], [2, 7], [6, 2], [8, 1], [14, 1]], 1/20480],
[[[1, 3], [2, 7], [6, 2], [10, 1], [14, 1]], 13/80640],
[[[1, 3], [2, 7], [6, 3], [8, 1], [10, 1]], 629/8294400],
[[[1, 3], [2, 7], [8, 1], [10, 1], [14, 1]], 19/645120],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 4]], 2473/39813120],
[[[1, 3], [2, 9], [3, 1], [4, 1], [8, 2]], 1/61931520],
[[[1, 3], [2, 9], [3, 1], [4, 1], [10, 2]], 907/82944000],
[[[1, 3], [2, 9], [3, 1], [4, 1], [16, 1]], 1/30965760],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 3]], 10259/159252480],
[[[1, 3], [2, 9], [3, 1], [4, 2], [14, 1]], 11/6773760],
[[[1, 3], [2, 9], [3, 1], [4, 3], [5, 1]], 121/1238630400],
[[[1, 3], [2, 9], [3, 1], [4, 3], [6, 2]], 1669/53084160],
[[[1, 3], [2, 9], [3, 1], [4, 3], [8, 1]], 2377/1486356480],
[[[1, 3], [2, 9], [3, 1], [4, 3], [10, 1]], 1087/309657600],
[[[1, 3], [2, 9], [3, 1], [4, 3], [12, 1]], 1/23224320],
[[[1, 3], [2, 9], [3, 1], [4, 4], [6, 1]], 6127/1486356480],
[[[1, 3], [2, 9], [3, 1], [6, 1], [8, 2]], 59/123863040],
[[[1, 3], [2, 9], [3, 1], [6, 1], [10, 2]], 1/21600],
[[[1, 3], [2, 9], [3, 1], [6, 2], [14, 1]], 211/7741440],
[[[1, 3], [2, 9], [3, 1], [6, 3], [8, 1]], 197/19906560],
[[[1, 3], [2, 9], [3, 1], [6, 3], [10, 1]], 1187/9953280],
[[[1, 3], [2, 9], [3, 1], [8, 1], [14, 1]], 1/54190080],
[[[1, 3], [2, 9], [3, 1], [10, 1], [14, 1]], 31/9676800],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 3]], 3461/119439360],
[[[1, 3], [2, 9], [3, 2], [4, 1], [14, 1]], 1/81285120],
[[[1, 3], [2, 9], [3, 2], [4, 2], [6, 2]], 8003/1114767360],
[[[1, 3], [2, 9], [3, 2], [4, 2], [8, 1]], 43/743178240],
[[[1, 3], [2, 9], [3, 2], [4, 2], [10, 1]], 31/696729600],
[[[1, 3], [2, 9], [3, 2], [4, 2], [12, 1]], 1/69672960],
[[[1, 3], [2, 9], [3, 2], [4, 3], [6, 1]], 337/371589120],
[[[1, 3], [2, 9], [3, 2], [5, 1], [10, 1]], 1/29030400],
[[[1, 3], [2, 9], [3, 2], [6, 1], [14, 1]], 1/3870720],
[[[1, 3], [2, 9], [3, 2], [6, 2], [8, 1]], 1/884736],
[[[1, 3], [2, 9], [3, 2], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 9], [3, 3], [4, 1], [6, 2]], 13/13271040],
[[[1, 3], [2, 9], [3, 3], [4, 2], [6, 1]], 41/557383680],
[[[1, 3], [2, 9], [4, 1], [6, 1], [8, 2]], 19/13762560],
[[[1, 3], [2, 9], [4, 1], [6, 1], [10, 2]], 31907/129024000],
[[[1, 3], [2, 9], [4, 1], [6, 1], [16, 1]], 1/4423680],
[[[1, 3], [2, 9], [4, 1], [6, 2], [14, 1]], 359/3440640],
[[[1, 3], [2, 9], [4, 1], [6, 3], [8, 1]], 1019/26542080],
[[[1, 3], [2, 9], [4, 1], [6, 3], [10, 1]], 44597/199065600],
[[[1, 3], [2, 9], [4, 1], [7, 1], [8, 1]], 13/77070336],
[[[1, 3], [2, 9], [4, 1], [8, 1], [14, 1]], 93/32112640],
[[[1, 3], [2, 9], [4, 1], [10, 1], [14, 1]], 3263/60211200],
[[[1, 3], [2, 9], [4, 2], [5, 1], [8, 1]], 43/206438400],
[[[1, 3], [2, 9], [4, 2], [5, 1], [10, 1]], 17/3686400],
[[[1, 3], [2, 9], [4, 2], [5, 1], [12, 1]], 1/19353600],
[[[1, 3], [2, 9], [4, 2], [6, 1], [14, 1]], 859/10321920],
[[[1, 3], [2, 9], [4, 2], [6, 2], [8, 1]], 121/3538944],
[[[1, 3], [2, 9], [4, 2], [6, 2], [10, 1]], 337/1382400],
[[[1, 3], [2, 9], [4, 2], [8, 1], [10, 1]], 1207/103219200],
[[[1, 3], [2, 9], [4, 2], [8, 1], [12, 1]], 1/2064384],
[[[1, 3], [2, 9], [4, 3], [6, 1], [8, 1]], 42283/1486356480],
[[[1, 3], [2, 9], [4, 3], [6, 1], [10, 1]], 92671/1238630400],
[[[1, 3], [2, 9], [4, 3], [6, 1], [12, 1]], 1/552960],
[[[1, 3], [2, 9], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 3], [2, 9], [6, 1], [8, 1], [14, 1]], 37/6021120],
[[[1, 3], [2, 9], [6, 1], [10, 1], [14, 1]], 841/12902400],
[[[1, 3], [2, 9], [6, 2], [8, 1], [10, 1]], 2567/77414400],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 3]], 3757/174182400],
[[[1, 3], [2, 11], [3, 1], [4, 1], [14, 1]], 13/108380160],
[[[1, 3], [2, 11], [3, 1], [4, 2], [6, 2]], 28409/3715891200],
[[[1, 3], [2, 11], [3, 1], [4, 2], [8, 1]], 17/3715891200],
[[[1, 3], [2, 11], [3, 1], [4, 2], [10, 1]], 17/34406400],
[[[1, 3], [2, 11], [3, 1], [4, 3], [6, 1]], 42169/44590694400],
[[[1, 3], [2, 11], [3, 1], [6, 1], [14, 1]], 79/86704128],
[[[1, 3], [2, 11], [3, 1], [6, 2], [8, 1]], 197/464486400],
[[[1, 3], [2, 11], [3, 1], [6, 2], [10, 1]], 3079/185794560],
[[[1, 3], [2, 11], [3, 1], [8, 1], [10, 1]], 1/232243200],
[[[1, 3], [2, 11], [3, 2], [4, 1], [6, 2]], 6257/11147673600],
[[[1, 3], [2, 11], [3, 2], [4, 1], [10, 1]], 1/348364800],
[[[1, 3], [2, 11], [3, 2], [4, 2], [6, 1]], 661/16721510400],
[[[1, 3], [2, 11], [3, 2], [6, 1], [10, 1]], 1/12902400],
[[[1, 3], [2, 11], [4, 1], [5, 1], [10, 1]], 73/619315200],
[[[1, 3], [2, 11], [4, 1], [6, 1], [14, 1]], 3847/309657600],
[[[1, 3], [2, 11], [4, 1], [6, 2], [8, 1]], 343/70778880],
[[[1, 3], [2, 11], [4, 1], [6, 2], [10, 1]], 388841/4644864000],
[[[1, 3], [2, 11], [4, 1], [8, 1], [10, 1]], 251/247726080],
[[[1, 3], [2, 11], [4, 1], [8, 1], [12, 1]], 1/743178240],
[[[1, 3], [2, 11], [4, 2], [6, 1], [8, 1]], 12673/7431782400],
[[[1, 3], [2, 11], [4, 2], [6, 1], [10, 1]], 150947/3715891200],
[[[1, 3], [2, 11], [6, 1], [8, 1], [10, 1]], 221/92897280],
[[[1, 3], [2, 13], [3, 1], [4, 1], [6, 2]], 45809/44590694400],
[[[1, 3], [2, 13], [3, 1], [4, 1], [8, 1]], 1/6370099200],
[[[1, 3], [2, 13], [3, 1], [4, 1], [10, 1]], 499/13934592000],
[[[1, 3], [2, 13], [3, 1], [4, 2], [6, 1]], 6349/50960793600],
[[[1, 3], [2, 13], [3, 1], [6, 1], [8, 1]], 163/44590694400],
[[[1, 3], [2, 13], [3, 1], [6, 1], [10, 1]], 8143/22295347200],
[[[1, 3], [2, 13], [3, 2], [4, 1], [6, 1]], 163/66886041600],
[[[1, 3], [2, 13], [4, 1], [6, 1], [8, 1]], 1679/11890851840],
[[[1, 3], [2, 13], [4, 1], [6, 1], [10, 1]], 2569213/445906944000],
[[[1, 3], [2, 15], [3, 1], [4, 1], [6, 1]], 27943/2497078886400],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 3]], 1/48000],
[[[1, 4], [2, 2], [3, 1], [4, 2], [7, 2]], 1/150528],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 3]], 1/6144],
[[[1, 4], [2, 2], [3, 1], [4, 2], [14, 2]], 1/225792],
[[[1, 4], [2, 2], [3, 1], [4, 4], [5, 2]], 1/153600],
[[[1, 4], [2, 2], [3, 1], [4, 4], [8, 2]], 221/589824],
[[[1, 4], [2, 2], [3, 1], [4, 4], [16, 1]], 1/12288],
[[[1, 4], [2, 2], [3, 1], [4, 6], [5, 1]], 11/5898240],
[[[1, 4], [2, 2], [3, 1], [4, 6], [8, 1]], 49/1179648],
[[[1, 4], [2, 2], [3, 1], [5, 1], [7, 2]], 1/23520],
[[[1, 4], [2, 2], [3, 1], [5, 2], [8, 2]], 1/115200],
[[[1, 4], [2, 2], [3, 1], [5, 3], [8, 1]], 1/12000],
[[[1, 4], [2, 2], [3, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 3]], 1/72000],
[[[1, 4], [2, 2], [3, 2], [4, 1], [8, 3]], 1/36864],
[[[1, 4], [2, 2], [3, 2], [4, 3], [5, 2]], 1/460800],
[[[1, 4], [2, 2], [3, 2], [4, 3], [8, 2]], 17/147456],
[[[1, 4], [2, 2], [3, 2], [4, 3], [16, 1]], 1/36864],
[[[1, 4], [2, 2], [3, 2], [4, 4], [14, 1]], 1/96768],
[[[1, 4], [2, 2], [3, 2], [4, 5], [8, 1]], 19/3538944],
[[[1, 4], [2, 2], [3, 2], [5, 2], [7, 1]], 1/25200],
[[[1, 4], [2, 2], [3, 2], [5, 3], [6, 1]], 1/13500],
[[[1, 4], [2, 2], [3, 2], [7, 1], [8, 2]], 1/64512],
[[[1, 4], [2, 2], [3, 2], [8, 2], [14, 1]], 1/32256],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 2]], 1/691200],
[[[1, 4], [2, 2], [3, 3], [4, 4], [6, 2]], 1/55296],
[[[1, 4], [2, 2], [3, 3], [5, 1], [8, 2]], 1/138240],
[[[1, 4], [2, 2], [3, 3], [5, 2], [8, 1]], 1/28800],
[[[1, 4], [2, 2], [4, 1], [5, 1], [7, 2]], 1/15680],
[[[1, 4], [2, 2], [4, 1], [5, 1], [8, 3]], 1/10240],
[[[1, 4], [2, 2], [4, 1], [5, 2], [8, 2]], 1/19200],
[[[1, 4], [2, 2], [4, 1], [5, 3], [8, 1]], 1/8000],
[[[1, 4], [2, 2], [4, 1], [6, 2], [8, 3]], 1/73728],
[[[1, 4], [2, 2], [4, 1], [7, 2], [8, 1]], 5/50176],
[[[1, 4], [2, 2], [4, 1], [8, 1], [14, 2]], 1/150528],
[[[1, 4], [2, 2], [4, 1], [8, 2], [16, 1]], 5/32768],
[[[1, 4], [2, 2], [4, 1], [8, 3], [10, 1]], 1/20480],
[[[1, 4], [2, 2], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 4], [2, 2], [4, 2], [6, 1], [7, 2]], 1/12544],
[[[1, 4], [2, 2], [4, 2], [6, 1], [8, 3]], 1/12288],
[[[1, 4], [2, 2], [4, 2], [7, 1], [8, 2]], 3/4096],
[[[1, 4], [2, 2], [4, 2], [7, 1], [16, 1]], 1/7168],
[[[1, 4], [2, 2], [4, 2], [8, 2], [14, 1]], 5/57344],
[[[1, 4], [2, 2], [4, 2], [14, 1], [16, 1]], 1/21504],
[[[1, 4], [2, 2], [4, 3], [5, 1], [8, 2]], 61/122880],
[[[1, 4], [2, 2], [4, 3], [5, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 2], [4, 3], [5, 2], [8, 1]], 1/25600],
[[[1, 4], [2, 2], [4, 3], [7, 1], [14, 1]], 1/14336],
[[[1, 4], [2, 2], [4, 3], [8, 1], [16, 1]], 5/8192],
[[[1, 4], [2, 2], [4, 3], [8, 2], [10, 1]], 1/10240],
[[[1, 4], [2, 2], [4, 3], [8, 2], [12, 1]], 1/6144],
[[[1, 4], [2, 2], [4, 4], [5, 1], [7, 1]], 1/71680],
[[[1, 4], [2, 2], [4, 4], [5, 1], [14, 1]], 1/322560],
[[[1, 4], [2, 2], [4, 4], [6, 1], [8, 2]], 13/589824],
[[[1, 4], [2, 2], [4, 4], [7, 1], [8, 1]], 13/49152],
[[[1, 4], [2, 2], [4, 4], [7, 1], [12, 1]], 1/10752],
[[[1, 4], [2, 2], [4, 4], [8, 1], [14, 1]], 1/147456],
[[[1, 4], [2, 2], [4, 5], [5, 1], [8, 1]], 19/983040],
[[[1, 4], [2, 2], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 4], [2, 2], [5, 1], [7, 1], [8, 2]], 1/53760],
[[[1, 4], [2, 2], [5, 1], [8, 2], [14, 1]], 1/26880],
[[[1, 4], [2, 2], [5, 2], [6, 1], [10, 2]], 1/9000],
[[[1, 4], [2, 2], [5, 2], [7, 1], [8, 1]], 1/5600],
[[[1, 4], [2, 2], [5, 2], [10, 1], [14, 1]], 1/4200],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 3]], 1/144000],
[[[1, 4], [2, 4], [3, 1], [4, 1], [7, 2]], 1/56448],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 3]], 1/73728],
[[[1, 4], [2, 4], [3, 1], [4, 1], [14, 2]], 1/25088],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 2]], 13/921600],
[[[1, 4], [2, 4], [3, 1], [4, 3], [8, 2]], 65/98304],
[[[1, 4], [2, 4], [3, 1], [4, 3], [10, 2]], 1/38400],
[[[1, 4], [2, 4], [3, 1], [4, 3], [16, 1]], 1/6144],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 3]], 1/663552],
[[[1, 4], [2, 4], [3, 1], [4, 4], [7, 1]], 5/1032192],
[[[1, 4], [2, 4], [3, 1], [4, 4], [14, 1]], 71/516096],
[[[1, 4], [2, 4], [3, 1], [4, 5], [5, 1]], 7/1474560],
[[[1, 4], [2, 4], [3, 1], [4, 5], [6, 2]], 7/663552],
[[[1, 4], [2, 4], [3, 1], [4, 5], [8, 1]], 11/98304],
[[[1, 4], [2, 4], [3, 1], [4, 5], [10, 1]], 7/737280],
[[[1, 4], [2, 4], [3, 1], [4, 6], [6, 1]], 1057/7077888],
[[[1, 4], [2, 4], [3, 1], [5, 2], [7, 1]], 1/403200],
[[[1, 4], [2, 4], [3, 1], [6, 1], [7, 2]], 1/56448],
[[[1, 4], [2, 4], [3, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 4], [2, 4], [3, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 4], [2, 4], [3, 1], [6, 3], [10, 2]], 7/259200],
[[[1, 4], [2, 4], [3, 1], [7, 1], [8, 2]], 1/43008],
[[[1, 4], [2, 4], [3, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 2]], 41/2211840],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 4]], 41/746496],
[[[1, 4], [2, 4], [3, 2], [4, 2], [8, 2]], 49/294912],
[[[1, 4], [2, 4], [3, 2], [4, 2], [10, 2]], 1/115200],
[[[1, 4], [2, 4], [3, 2], [4, 2], [16, 1]], 7/110592],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 3]], 89/497664],
[[[1, 4], [2, 4], [3, 2], [4, 3], [7, 1]], 1/1548288],
[[[1, 4], [2, 4], [3, 2], [4, 3], [14, 1]], 1/21504],
[[[1, 4], [2, 4], [3, 2], [4, 4], [5, 1]], 1/442368],
[[[1, 4], [2, 4], [3, 2], [4, 4], [6, 2]], 5071/15925248],
[[[1, 4], [2, 4], [3, 2], [4, 4], [8, 1]], 125/2654208],
[[[1, 4], [2, 4], [3, 2], [4, 4], [10, 1]], 7/1658880],
[[[1, 4], [2, 4], [3, 2], [4, 5], [6, 1]], 7/663552],
[[[1, 4], [2, 4], [3, 2], [5, 1], [8, 2]], 1/46080],
[[[1, 4], [2, 4], [3, 2], [5, 1], [10, 2]], 1/5400],
[[[1, 4], [2, 4], [3, 2], [5, 2], [6, 2]], 11/129600],
[[[1, 4], [2, 4], [3, 2], [5, 2], [8, 1]], 1/46080],
[[[1, 4], [2, 4], [3, 2], [6, 2], [8, 2]], 85/331776],
[[[1, 4], [2, 4], [3, 2], [6, 2], [10, 2]], 11/129600],
[[[1, 4], [2, 4], [3, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 2], [8, 2], [10, 1]], 1/34560],
[[[1, 4], [2, 4], [3, 3], [4, 1], [5, 2]], 1/172800],
[[[1, 4], [2, 4], [3, 3], [4, 1], [8, 2]], 1/27648],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 3]], 5/15552],
[[[1, 4], [2, 4], [3, 3], [4, 3], [5, 1]], 1/3317760],
[[[1, 4], [2, 4], [3, 3], [4, 3], [6, 2]], 89/497664],
[[[1, 4], [2, 4], [3, 3], [4, 3], [8, 1]], 1/442368],
[[[1, 4], [2, 4], [3, 3], [4, 4], [6, 1]], 1/663552],
[[[1, 4], [2, 4], [3, 3], [5, 1], [7, 1]], 1/241920],
[[[1, 4], [2, 4], [3, 3], [5, 2], [6, 1]], 7/259200],
[[[1, 4], [2, 4], [3, 3], [6, 1], [8, 2]], 1/27648],
[[[1, 4], [2, 4], [3, 3], [7, 1], [8, 1]], 1/96768],
[[[1, 4], [2, 4], [3, 4], [4, 2], [6, 2]], 41/746496],
[[[1, 4], [2, 4], [3, 4], [5, 1], [8, 1]], 1/207360],
[[[1, 4], [2, 4], [4, 1], [5, 2], [7, 1]], 1/67200],
[[[1, 4], [2, 4], [4, 1], [6, 1], [7, 2]], 1/25088],
[[[1, 4], [2, 4], [4, 1], [6, 1], [8, 3]], 1/73728],
[[[1, 4], [2, 4], [4, 1], [6, 1], [10, 3]], 1/144000],
[[[1, 4], [2, 4], [4, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 4], [2, 4], [4, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 4], [2, 4], [4, 1], [6, 3], [10, 2]], 1/172800],
[[[1, 4], [2, 4], [4, 1], [7, 1], [8, 2]], 25/172032],
[[[1, 4], [2, 4], [4, 1], [7, 1], [16, 1]], 1/21504],
[[[1, 4], [2, 4], [4, 1], [8, 2], [14, 1]], 25/172032],
[[[1, 4], [2, 4], [4, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 4], [2, 4], [4, 1], [14, 1], [16, 1]], 1/21504],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 2]], 1/3072],
[[[1, 4], [2, 4], [4, 2], [5, 1], [10, 2]], 1/1200],
[[[1, 4], [2, 4], [4, 2], [5, 1], [16, 1]], 19/92160],
[[[1, 4], [2, 4], [4, 2], [5, 2], [6, 2]], 1/115200],
[[[1, 4], [2, 4], [4, 2], [5, 2], [8, 1]], 37/230400],
[[[1, 4], [2, 4], [4, 2], [5, 2], [10, 1]], 1/1200],
[[[1, 4], [2, 4], [4, 2], [6, 2], [8, 2]], 49/294912],
[[[1, 4], [2, 4], [4, 2], [6, 2], [10, 2]], 41/2211840],
[[[1, 4], [2, 4], [4, 2], [6, 2], [16, 1]], 7/110592],
[[[1, 4], [2, 4], [4, 2], [7, 1], [14, 1]], 331/258048],
[[[1, 4], [2, 4], [4, 2], [8, 1], [10, 2]], 37/230400],
[[[1, 4], [2, 4], [4, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 4], [2, 4], [4, 2], [8, 1], [16, 1]], 1447/589824],
[[[1, 4], [2, 4], [4, 2], [8, 1], [20, 1]], 1/3840],
[[[1, 4], [2, 4], [4, 2], [8, 2], [10, 1]], 1/3072],
[[[1, 4], [2, 4], [4, 2], [8, 2], [12, 1]], 41/73728],
[[[1, 4], [2, 4], [4, 2], [10, 1], [16, 1]], 19/92160],
[[[1, 4], [2, 4], [4, 2], [12, 1], [20, 1]], 1/23040],
[[[1, 4], [2, 4], [4, 3], [5, 1], [7, 1]], 13/430080],
[[[1, 4], [2, 4], [4, 3], [5, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 4], [4, 3], [5, 2], [6, 1]], 1/38400],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 2]], 65/98304],
[[[1, 4], [2, 4], [4, 3], [6, 1], [10, 2]], 13/921600],
[[[1, 4], [2, 4], [4, 3], [6, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 4], [4, 3], [6, 2], [7, 1]], 1/21504],
[[[1, 4], [2, 4], [4, 3], [6, 2], [14, 1]], 1/1548288],
[[[1, 4], [2, 4], [4, 3], [6, 3], [8, 1]], 1/442368],
[[[1, 4], [2, 4], [4, 3], [6, 3], [10, 1]], 1/3317760],
[[[1, 4], [2, 4], [4, 3], [7, 1], [8, 1]], 43/147456],
[[[1, 4], [2, 4], [4, 3], [7, 1], [10, 1]], 1/8960],
[[[1, 4], [2, 4], [4, 3], [7, 1], [12, 1]], 1/5376],
[[[1, 4], [2, 4], [4, 3], [8, 1], [14, 1]], 43/147456],
[[[1, 4], [2, 4], [4, 3], [10, 1], [14, 1]], 13/430080],
[[[1, 4], [2, 4], [4, 3], [12, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 4], [4, 4], [5, 1], [6, 2]], 7/1658880],
[[[1, 4], [2, 4], [4, 4], [5, 1], [8, 1]], 499/1105920],
[[[1, 4], [2, 4], [4, 4], [5, 1], [10, 1]], 1849/5529600],
[[[1, 4], [2, 4], [4, 4], [6, 1], [7, 1]], 71/516096],
[[[1, 4], [2, 4], [4, 4], [6, 1], [14, 1]], 5/1032192],
[[[1, 4], [2, 4], [4, 4], [6, 2], [8, 1]], 125/2654208],
[[[1, 4], [2, 4], [4, 4], [6, 2], [10, 1]], 1/442368],
[[[1, 4], [2, 4], [4, 4], [8, 1], [10, 1]], 499/1105920],
[[[1, 4], [2, 4], [4, 4], [8, 1], [12, 1]], 637/221184],
[[[1, 4], [2, 4], [4, 5], [5, 1], [6, 1]], 7/737280],
[[[1, 4], [2, 4], [4, 5], [6, 1], [8, 1]], 11/98304],
[[[1, 4], [2, 4], [4, 5], [6, 1], [10, 1]], 7/1474560],
[[[1, 4], [2, 4], [5, 1], [6, 2], [8, 2]], 1/34560],
[[[1, 4], [2, 4], [5, 1], [7, 1], [14, 1]], 1/3840],
[[[1, 4], [2, 4], [5, 1], [8, 2], [10, 1]], 1/4608],
[[[1, 4], [2, 4], [5, 2], [6, 2], [10, 1]], 1/5400],
[[[1, 4], [2, 4], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 4], [2, 4], [6, 1], [8, 2], [14, 1]], 1/43008],
[[[1, 4], [2, 4], [6, 1], [10, 2], [14, 1]], 1/403200],
[[[1, 4], [2, 4], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 4], [6, 2], [8, 1], [10, 2]], 1/46080],
[[[1, 4], [2, 4], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 4], [6, 3], [8, 1], [14, 1]], 1/96768],
[[[1, 4], [2, 4], [6, 3], [10, 1], [14, 1]], 1/241920],
[[[1, 4], [2, 4], [6, 4], [8, 1], [10, 1]], 1/207360],
[[[1, 4], [2, 4], [7, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 4], [2, 4], [7, 1], [10, 1], [14, 1]], 1/3840],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 5]], 1/373248],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 2]], 41/8294400],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 4]], 139/5971968],
[[[1, 4], [2, 6], [3, 1], [4, 2], [8, 2]], 1691/11796480],
[[[1, 4], [2, 6], [3, 1], [4, 2], [10, 2]], 487/4147200],
[[[1, 4], [2, 6], [3, 1], [4, 2], [16, 1]], 1/36864],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 3]], 161/663552],
[[[1, 4], [2, 6], [3, 1], [4, 3], [7, 1]], 1/86016],
[[[1, 4], [2, 6], [3, 1], [4, 3], [14, 1]], 5/64512],
[[[1, 4], [2, 6], [3, 1], [4, 4], [5, 1]], 103/7077888],
[[[1, 4], [2, 6], [3, 1], [4, 4], [6, 2]], 1729/3538944],
[[[1, 4], [2, 6], [3, 1], [4, 4], [8, 1]], 3169/17694720],
[[[1, 4], [2, 6], [3, 1], [4, 4], [10, 1]], 107/2211840],
[[[1, 4], [2, 6], [3, 1], [4, 4], [12, 1]], 1/55296],
[[[1, 4], [2, 6], [3, 1], [4, 5], [6, 1]], 4069/42467328],
[[[1, 4], [2, 6], [3, 1], [5, 1], [8, 2]], 1/294912],
[[[1, 4], [2, 6], [3, 1], [5, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 6], [3, 1], [5, 2], [8, 1]], 1/921600],
[[[1, 4], [2, 6], [3, 1], [5, 2], [10, 1]], 1/57600],
[[[1, 4], [2, 6], [3, 1], [6, 2], [8, 2]], 71/1105920],
[[[1, 4], [2, 6], [3, 1], [6, 2], [10, 2]], 61/230400],
[[[1, 4], [2, 6], [3, 1], [6, 3], [7, 1]], 1/16128],
[[[1, 4], [2, 6], [3, 1], [6, 3], [14, 1]], 1/13824],
[[[1, 4], [2, 6], [3, 1], [6, 4], [8, 1]], 5/124416],
[[[1, 4], [2, 6], [3, 1], [6, 4], [10, 1]], 47/622080],
[[[1, 4], [2, 6], [3, 1], [7, 1], [14, 1]], 121/1290240],
[[[1, 4], [2, 6], [3, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 6], [3, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 2]], 11/5529600],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 4]], 91/373248],
[[[1, 4], [2, 6], [3, 2], [4, 1], [8, 2]], 47/1769472],
[[[1, 4], [2, 6], [3, 2], [4, 1], [10, 2]], 1/86400],
[[[1, 4], [2, 6], [3, 2], [4, 1], [16, 1]], 17/3317760],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 3]], 1133/1492992],
[[[1, 4], [2, 6], [3, 2], [4, 2], [7, 1]], 55/9289728],
[[[1, 4], [2, 6], [3, 2], [4, 2], [14, 1]], 5/774144],
[[[1, 4], [2, 6], [3, 2], [4, 3], [5, 1]], 7/1105920],
[[[1, 4], [2, 6], [3, 2], [4, 3], [6, 2]], 613/1327104],
[[[1, 4], [2, 6], [3, 2], [4, 3], [8, 1]], 16069/318504960],
[[[1, 4], [2, 6], [3, 2], [4, 3], [10, 1]], 7/552960],
[[[1, 4], [2, 6], [3, 2], [4, 3], [12, 1]], 1/165888],
[[[1, 4], [2, 6], [3, 2], [4, 4], [6, 1]], 4241/79626240],
[[[1, 4], [2, 6], [3, 2], [5, 1], [6, 3]], 1/8640],
[[[1, 4], [2, 6], [3, 2], [5, 1], [7, 1]], 1/1935360],
[[[1, 4], [2, 6], [3, 2], [5, 2], [6, 1]], 7/4147200],
[[[1, 4], [2, 6], [3, 2], [6, 1], [8, 2]], 67/3317760],
[[[1, 4], [2, 6], [3, 2], [6, 1], [10, 2]], 1/10368],
[[[1, 4], [2, 6], [3, 2], [6, 2], [7, 1]], 1/48384],
[[[1, 4], [2, 6], [3, 2], [6, 2], [14, 1]], 1/5184],
[[[1, 4], [2, 6], [3, 2], [6, 3], [8, 1]], 13/82944],
[[[1, 4], [2, 6], [3, 2], [6, 3], [10, 1]], 103/311040],
[[[1, 4], [2, 6], [3, 2], [7, 1], [8, 1]], 1/1548288],
[[[1, 4], [2, 6], [3, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 3]], 17/62208],
[[[1, 4], [2, 6], [3, 3], [4, 1], [7, 1]], 1/1161216],
[[[1, 4], [2, 6], [3, 3], [4, 2], [5, 1]], 11/3981312],
[[[1, 4], [2, 6], [3, 3], [4, 2], [6, 2]], 2599/19906560],
[[[1, 4], [2, 6], [3, 3], [4, 2], [8, 1]], 5/331776],
[[[1, 4], [2, 6], [3, 3], [4, 3], [6, 1]], 59/7962624],
[[[1, 4], [2, 6], [3, 3], [5, 1], [6, 2]], 1/41472],
[[[1, 4], [2, 6], [3, 3], [5, 1], [8, 1]], 1/3317760],
[[[1, 4], [2, 6], [3, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 4], [2, 6], [3, 3], [6, 2], [8, 1]], 1/20736],
[[[1, 4], [2, 6], [3, 3], [6, 2], [10, 1]], 1/11520],
[[[1, 4], [2, 6], [3, 4], [4, 1], [5, 1]], 1/2488320],
[[[1, 4], [2, 6], [3, 4], [4, 1], [6, 2]], 1/248832],
[[[1, 4], [2, 6], [3, 4], [4, 1], [8, 1]], 7/3981312],
[[[1, 4], [2, 6], [3, 4], [4, 2], [6, 1]], 1/5971968],
[[[1, 4], [2, 6], [3, 4], [5, 1], [6, 1]], 1/414720],
[[[1, 4], [2, 6], [3, 4], [6, 1], [8, 1]], 1/165888],
[[[1, 4], [2, 6], [4, 1], [5, 1], [8, 2]], 73/1474560],
[[[1, 4], [2, 6], [4, 1], [5, 1], [10, 2]], 1/1920],
[[[1, 4], [2, 6], [4, 1], [5, 1], [16, 1]], 47/2764800],
[[[1, 4], [2, 6], [4, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 4], [2, 6], [4, 1], [5, 2], [10, 1]], 1/9600],
[[[1, 4], [2, 6], [4, 1], [6, 2], [8, 2]], 59/737280],
[[[1, 4], [2, 6], [4, 1], [6, 2], [10, 2]], 521/2764800],
[[[1, 4], [2, 6], [4, 1], [6, 2], [16, 1]], 5/442368],
[[[1, 4], [2, 6], [4, 1], [6, 3], [14, 1]], 5/96768],
[[[1, 4], [2, 6], [4, 1], [6, 4], [8, 1]], 5/124416],
[[[1, 4], [2, 6], [4, 1], [6, 4], [10, 1]], 23/622080],
[[[1, 4], [2, 6], [4, 1], [7, 1], [14, 1]], 19/57344],
[[[1, 4], [2, 6], [4, 1], [8, 1], [10, 2]], 311/1382400],
[[[1, 4], [2, 6], [4, 1], [8, 1], [16, 1]], 37/737280],
[[[1, 4], [2, 6], [4, 1], [8, 2], [10, 1]], 53/368640],
[[[1, 4], [2, 6], [4, 1], [10, 1], [16, 1]], 7/368640],
[[[1, 4], [2, 6], [4, 2], [5, 1], [7, 1]], 41/3870720],
[[[1, 4], [2, 6], [4, 2], [5, 2], [6, 1]], 1/460800],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 2]], 7021/11796480],
[[[1, 4], [2, 6], [4, 2], [6, 1], [10, 2]], 2599/11059200],
[[[1, 4], [2, 6], [4, 2], [6, 1], [16, 1]], 227/2211840],
[[[1, 4], [2, 6], [4, 2], [6, 2], [7, 1]], 31/516096],
[[[1, 4], [2, 6], [4, 2], [6, 2], [14, 1]], 103/884736],
[[[1, 4], [2, 6], [4, 2], [6, 3], [8, 1]], 89/663552],
[[[1, 4], [2, 6], [4, 2], [6, 3], [10, 1]], 29/294912],
[[[1, 4], [2, 6], [4, 2], [7, 1], [8, 1]], 521/4128768],
[[[1, 4], [2, 6], [4, 2], [7, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 6], [4, 2], [7, 1], [12, 1]], 1/64512],
[[[1, 4], [2, 6], [4, 2], [8, 1], [14, 1]], 7891/20643840],
[[[1, 4], [2, 6], [4, 2], [10, 1], [14, 1]], 1187/5160960],
[[[1, 4], [2, 6], [4, 2], [12, 1], [14, 1]], 1/129024],
[[[1, 4], [2, 6], [4, 3], [5, 1], [6, 2]], 7/184320],
[[[1, 4], [2, 6], [4, 3], [5, 1], [8, 1]], 33991/265420800],
[[[1, 4], [2, 6], [4, 3], [5, 1], [10, 1]], 133/307200],
[[[1, 4], [2, 6], [4, 3], [5, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 6], [4, 3], [6, 1], [7, 1]], 11/172032],
[[[1, 4], [2, 6], [4, 3], [6, 1], [14, 1]], 181/1548288],
[[[1, 4], [2, 6], [4, 3], [6, 2], [8, 1]], 2651/5308416],
[[[1, 4], [2, 6], [4, 3], [6, 2], [10, 1]], 71/552960],
[[[1, 4], [2, 6], [4, 3], [6, 2], [12, 1]], 1/18432],
[[[1, 4], [2, 6], [4, 3], [8, 1], [10, 1]], 797/884736],
[[[1, 4], [2, 6], [4, 3], [8, 1], [12, 1]], 13/147456],
[[[1, 4], [2, 6], [4, 3], [10, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 6], [4, 4], [5, 1], [6, 1]], 233/8294400],
[[[1, 4], [2, 6], [4, 4], [6, 1], [8, 1]], 108569/106168320],
[[[1, 4], [2, 6], [4, 4], [6, 1], [10, 1]], 4273/23592960],
[[[1, 4], [2, 6], [4, 4], [6, 1], [12, 1]], 1/12288],
[[[1, 4], [2, 6], [5, 1], [6, 1], [8, 2]], 31/1382400],
[[[1, 4], [2, 6], [5, 1], [6, 1], [10, 2]], 17/115200],
[[[1, 4], [2, 6], [5, 1], [7, 1], [8, 1]], 1/430080],
[[[1, 4], [2, 6], [5, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 4], [2, 6], [5, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 6], [5, 2], [6, 1], [10, 1]], 23/108000],
[[[1, 4], [2, 6], [6, 1], [7, 1], [14, 1]], 67/258048],
[[[1, 4], [2, 6], [6, 1], [8, 1], [10, 2]], 53/460800],
[[[1, 4], [2, 6], [6, 1], [8, 2], [10, 1]], 7/368640],
[[[1, 4], [2, 6], [6, 2], [8, 1], [14, 1]], 5/86016],
[[[1, 4], [2, 6], [6, 2], [10, 1], [14, 1]], 11/129024],
[[[1, 4], [2, 6], [6, 3], [8, 1], [10, 1]], 109/1658880],
[[[1, 4], [2, 6], [8, 1], [10, 1], [14, 1]], 13/215040],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 2]], 1/11059200],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 4]], 881/7464960],
[[[1, 4], [2, 8], [3, 1], [4, 1], [8, 2]], 67/30965760],
[[[1, 4], [2, 8], [3, 1], [4, 1], [10, 2]], 89/1382400],
[[[1, 4], [2, 8], [3, 1], [4, 1], [16, 1]], 43/46448640],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 3]], 19817/59719680],
[[[1, 4], [2, 8], [3, 1], [4, 2], [7, 1]], 19/12386304],
[[[1, 4], [2, 8], [3, 1], [4, 2], [14, 1]], 2873/130056192],
[[[1, 4], [2, 8], [3, 1], [4, 3], [5, 1]], 227/88473600],
[[[1, 4], [2, 8], [3, 1], [4, 3], [6, 2]], 677/2654208],
[[[1, 4], [2, 8], [3, 1], [4, 3], [8, 1]], 61771/2229534720],
[[[1, 4], [2, 8], [3, 1], [4, 3], [10, 1]], 1441/44236800],
[[[1, 4], [2, 8], [3, 1], [4, 3], [12, 1]], 1/829440],
[[[1, 4], [2, 8], [3, 1], [4, 4], [6, 1]], 11599/141557760],
[[[1, 4], [2, 8], [3, 1], [5, 1], [7, 1]], 1/61931520],
[[[1, 4], [2, 8], [3, 1], [6, 1], [8, 2]], 361/61931520],
[[[1, 4], [2, 8], [3, 1], [6, 1], [10, 2]], 47/345600],
[[[1, 4], [2, 8], [3, 1], [6, 2], [7, 1]], 1/184320],
[[[1, 4], [2, 8], [3, 1], [6, 2], [14, 1]], 583/7741440],
[[[1, 4], [2, 8], [3, 1], [6, 3], [8, 1]], 1661/39813120],
[[[1, 4], [2, 8], [3, 1], [6, 3], [10, 1]], 10877/49766400],
[[[1, 4], [2, 8], [3, 1], [8, 1], [14, 1]], 1/1935360],
[[[1, 4], [2, 8], [3, 1], [10, 1], [14, 1]], 19/967680],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 3]], 3311/14929920],
[[[1, 4], [2, 8], [3, 2], [4, 1], [7, 1]], 1/18579456],
[[[1, 4], [2, 8], [3, 2], [4, 1], [14, 1]], 1/2903040],
[[[1, 4], [2, 8], [3, 2], [4, 2], [5, 1]], 7/8847360],
[[[1, 4], [2, 8], [3, 2], [4, 2], [6, 2]], 12533/79626240],
[[[1, 4], [2, 8], [3, 2], [4, 2], [8, 1]], 395/74317824],
[[[1, 4], [2, 8], [3, 2], [4, 2], [10, 1]], 1/614400],
[[[1, 4], [2, 8], [3, 2], [4, 2], [12, 1]], 29/69672960],
[[[1, 4], [2, 8], [3, 2], [4, 3], [6, 1]], 53/2949120],
[[[1, 4], [2, 8], [3, 2], [5, 1], [6, 2]], 23/5529600],
[[[1, 4], [2, 8], [3, 2], [5, 1], [10, 1]], 29/29030400],
[[[1, 4], [2, 8], [3, 2], [6, 1], [7, 1]], 1/1548288],
[[[1, 4], [2, 8], [3, 2], [6, 1], [14, 1]], 71/11612160],
[[[1, 4], [2, 8], [3, 2], [6, 2], [8, 1]], 137/6635520],
[[[1, 4], [2, 8], [3, 2], [6, 2], [10, 1]], 593/5529600],
[[[1, 4], [2, 8], [3, 3], [4, 1], [5, 1]], 1/39813120],
[[[1, 4], [2, 8], [3, 3], [4, 1], [6, 2]], 161/9953280],
[[[1, 4], [2, 8], [3, 3], [4, 1], [8, 1]], 1/5308416],
[[[1, 4], [2, 8], [3, 3], [4, 2], [6, 1]], 1067/278691840],
[[[1, 4], [2, 8], [3, 3], [5, 1], [6, 1]], 1/3317760],
[[[1, 4], [2, 8], [3, 3], [6, 1], [8, 1]], 1/2654208],
[[[1, 4], [2, 8], [3, 4], [4, 1], [6, 1]], 1/1990656],
[[[1, 4], [2, 8], [4, 1], [5, 1], [7, 1]], 1/5160960],
[[[1, 4], [2, 8], [4, 1], [6, 1], [8, 2]], 53/1720320],
[[[1, 4], [2, 8], [4, 1], [6, 1], [10, 2]], 21223/55296000],
[[[1, 4], [2, 8], [4, 1], [6, 1], [16, 1]], 7/2211840],
[[[1, 4], [2, 8], [4, 1], [6, 2], [14, 1]], 331/2064384],
[[[1, 4], [2, 8], [4, 1], [6, 3], [8, 1]], 7957/79626240],
[[[1, 4], [2, 8], [4, 1], [6, 3], [10, 1]], 52991/199065600],
[[[1, 4], [2, 8], [4, 1], [7, 1], [8, 1]], 23/4128768],
[[[1, 4], [2, 8], [4, 1], [8, 1], [14, 1]], 1781/86704128],
[[[1, 4], [2, 8], [4, 1], [10, 1], [14, 1]], 10261/77414400],
[[[1, 4], [2, 8], [4, 2], [5, 1], [8, 1]], 1507/154828800],
[[[1, 4], [2, 8], [4, 2], [5, 1], [10, 1]], 283/3686400],
[[[1, 4], [2, 8], [4, 2], [5, 1], [12, 1]], 17/11612160],
[[[1, 4], [2, 8], [4, 2], [6, 1], [7, 1]], 23/3440640],
[[[1, 4], [2, 8], [4, 2], [6, 1], [14, 1]], 2489/12386304],
[[[1, 4], [2, 8], [4, 2], [6, 2], [8, 1]], 983/3538944],
[[[1, 4], [2, 8], [4, 2], [6, 2], [10, 1]], 329/737280],
[[[1, 4], [2, 8], [4, 2], [6, 2], [12, 1]], 1/663552],
[[[1, 4], [2, 8], [4, 2], [8, 1], [10, 1]], 2021/12902400],
[[[1, 4], [2, 8], [4, 2], [8, 1], [12, 1]], 113/23224320],
[[[1, 4], [2, 8], [4, 2], [10, 1], [12, 1]], 1/552960],
[[[1, 4], [2, 8], [4, 3], [5, 1], [6, 1]], 77/14745600],
[[[1, 4], [2, 8], [4, 3], [6, 1], [8, 1]], 32329/106168320],
[[[1, 4], [2, 8], [4, 3], [6, 1], [10, 1]], 8273/29491200],
[[[1, 4], [2, 8], [4, 3], [6, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 8], [5, 1], [6, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 8], [5, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 4], [2, 8], [6, 1], [8, 1], [14, 1]], 1/46080],
[[[1, 4], [2, 8], [6, 1], [10, 1], [14, 1]], 1723/17203200],
[[[1, 4], [2, 8], [6, 2], [8, 1], [10, 1]], 43/552960],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 3]], 169339/1672151040],
[[[1, 4], [2, 10], [3, 1], [4, 1], [14, 1]], 163/81285120],
[[[1, 4], [2, 10], [3, 1], [4, 2], [5, 1]], 73/1415577600],
[[[1, 4], [2, 10], [3, 1], [4, 2], [6, 2]], 953287/11147673600],
[[[1, 4], [2, 10], [3, 1], [4, 2], [8, 1]], 5693/5945425920],
[[[1, 4], [2, 10], [3, 1], [4, 2], [10, 1]], 21097/2786918400],
[[[1, 4], [2, 10], [3, 1], [4, 2], [12, 1]], 1/46448640],
[[[1, 4], [2, 10], [3, 1], [4, 3], [6, 1]], 28081/1486356480],
[[[1, 4], [2, 10], [3, 1], [5, 1], [10, 1]], 1/4300800],
[[[1, 4], [2, 10], [3, 1], [6, 1], [7, 1]], 11/192675840],
[[[1, 4], [2, 10], [3, 1], [6, 1], [14, 1]], 2987/433520640],
[[[1, 4], [2, 10], [3, 1], [6, 2], [8, 1]], 13/2903040],
[[[1, 4], [2, 10], [3, 1], [6, 2], [10, 1]], 66331/928972800],
[[[1, 4], [2, 10], [3, 1], [8, 1], [10, 1]], 31/232243200],
[[[1, 4], [2, 10], [3, 2], [4, 1], [6, 2]], 7127/557383680],
[[[1, 4], [2, 10], [3, 2], [4, 1], [8, 1]], 13/396361728],
[[[1, 4], [2, 10], [3, 2], [4, 1], [10, 1]], 31/348364800],
[[[1, 4], [2, 10], [3, 2], [4, 2], [6, 1]], 15551/6688604160],
[[[1, 4], [2, 10], [3, 2], [5, 1], [6, 1]], 11/412876800],
[[[1, 4], [2, 10], [3, 2], [6, 1], [8, 1]], 1/92897280],
[[[1, 4], [2, 10], [3, 2], [6, 1], [10, 1]], 7/3317760],
[[[1, 4], [2, 10], [3, 3], [4, 1], [6, 1]], 59/1114767360],
[[[1, 4], [2, 10], [4, 1], [5, 1], [8, 1]], 13/110100480],
[[[1, 4], [2, 10], [4, 1], [5, 1], [10, 1]], 53/15482880],
[[[1, 4], [2, 10], [4, 1], [6, 1], [14, 1]], 3467/72253440],
[[[1, 4], [2, 10], [4, 1], [6, 2], [8, 1]], 222127/7431782400],
[[[1, 4], [2, 10], [4, 1], [6, 2], [10, 1]], 26531/116121600],
[[[1, 4], [2, 10], [4, 1], [8, 1], [10, 1]], 33899/3715891200],
[[[1, 4], [2, 10], [4, 1], [8, 1], [12, 1]], 1/23224320],
[[[1, 4], [2, 10], [4, 2], [6, 1], [8, 1]], 46171/1651507200],
[[[1, 4], [2, 10], [4, 2], [6, 1], [10, 1]], 9631/51609600],
[[[1, 4], [2, 10], [4, 2], [6, 1], [12, 1]], 1/6635520],
[[[1, 4], [2, 10], [5, 1], [6, 1], [10, 1]], 1/614400],
[[[1, 4], [2, 10], [6, 1], [8, 1], [10, 1]], 1423/116121600],
[[[1, 4], [2, 12], [3, 1], [4, 1], [6, 2]], 366223/33443020800],
[[[1, 4], [2, 12], [3, 1], [4, 1], [8, 1]], 29/4459069440],
[[[1, 4], [2, 12], [3, 1], [4, 1], [10, 1]], 229/348364800],
[[[1, 4], [2, 12], [3, 1], [4, 2], [6, 1]], 1470457/535088332800],
[[[1, 4], [2, 12], [3, 1], [6, 1], [8, 1]], 409/5573836800],
[[[1, 4], [2, 12], [3, 1], [6, 1], [10, 1]], 671/199065600],
[[[1, 4], [2, 12], [3, 2], [4, 1], [6, 1]], 97/1194393600],
[[[1, 4], [2, 12], [4, 1], [6, 1], [8, 1]], 36601/22295347200],
[[[1, 4], [2, 12], [4, 1], [6, 1], [10, 1]], 1773791/55738368000],
[[[1, 4], [2, 14], [3, 1], [4, 1], [6, 1]], 229949/1070176665600],
[[[1, 4], [3, 1], [4, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 4], [3, 1], [4, 2], [5, 2], [7, 1]], 1/33600],
[[[1, 4], [3, 1], [4, 4], [5, 1], [7, 1]], 1/430080],
[[[1, 4], [3, 2], [4, 2], [8, 1], [16, 1]], 1/4608],
[[[1, 4], [3, 2], [4, 2], [8, 2], [12, 1]], 1/13824],
[[[1, 4], [4, 2], [5, 1], [8, 1], [16, 1]], 1/5120],
[[[1, 4], [4, 2], [5, 1], [8, 2], [12, 1]], 1/11520],
[[[1, 5], [2, 1], [3, 1], [4, 2], [5, 3]], 1/48000],
[[[1, 5], [2, 1], [3, 1], [4, 2], [7, 2]], 1/75264],
[[[1, 5], [2, 1], [3, 1], [4, 2], [8, 3]], 1/12288],
[[[1, 5], [2, 1], [3, 1], [4, 4], [5, 2]], 1/614400],
[[[1, 5], [2, 1], [3, 1], [4, 4], [8, 2]], 11/221184],
[[[1, 5], [2, 1], [3, 1], [4, 5], [7, 1]], 1/344064],
[[[1, 5], [2, 1], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 5], [2, 1], [3, 1], [5, 3], [8, 1]], 1/36000],
[[[1, 5], [2, 1], [3, 1], [7, 2], [8, 1]], 1/37632],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 3]], 13/144000],
[[[1, 5], [2, 1], [3, 2], [4, 1], [8, 3]], 1/36864],
[[[1, 5], [2, 1], [3, 2], [4, 3], [5, 2]], 7/307200],
[[[1, 5], [2, 1], [3, 2], [4, 3], [8, 2]], 1/9216],
[[[1, 5], [2, 1], [3, 2], [4, 3], [16, 1]], 1/36864],
[[[1, 5], [2, 1], [3, 2], [4, 4], [7, 1]], 1/1032192],
[[[1, 5], [2, 1], [3, 2], [4, 5], [5, 1]], 1/737280],
[[[1, 5], [2, 1], [3, 2], [4, 5], [8, 1]], 43/3538944],
[[[1, 5], [2, 1], [3, 2], [5, 2], [7, 1]], 1/8400],
[[[1, 5], [2, 1], [3, 2], [5, 3], [6, 1]], 1/18000],
[[[1, 5], [2, 1], [3, 3], [4, 2], [5, 2]], 1/115200],
[[[1, 5], [2, 1], [3, 3], [4, 4], [5, 1]], 1/2211840],
[[[1, 5], [2, 1], [3, 3], [5, 2], [8, 1]], 1/34560],
[[[1, 5], [2, 1], [4, 1], [5, 1], [7, 2]], 1/6272],
[[[1, 5], [2, 1], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 5], [2, 1], [4, 1], [5, 3], [8, 1]], 1/24000],
[[[1, 5], [2, 1], [4, 1], [8, 2], [16, 1]], 1/24576],
[[[1, 5], [2, 1], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 5], [2, 1], [4, 2], [6, 1], [8, 3]], 1/49152],
[[[1, 5], [2, 1], [4, 2], [8, 2], [14, 1]], 1/86016],
[[[1, 5], [2, 1], [4, 3], [5, 1], [8, 2]], 1/12288],
[[[1, 5], [2, 1], [4, 3], [5, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 1], [4, 3], [5, 2], [8, 1]], 1/76800],
[[[1, 5], [2, 1], [4, 3], [7, 1], [14, 1]], 1/86016],
[[[1, 5], [2, 1], [4, 3], [8, 1], [16, 1]], 31/327680],
[[[1, 5], [2, 1], [4, 3], [8, 2], [10, 1]], 1/122880],
[[[1, 5], [2, 1], [4, 3], [8, 2], [12, 1]], 1/36864],
[[[1, 5], [2, 1], [4, 4], [5, 1], [7, 1]], 1/286720],
[[[1, 5], [2, 1], [4, 5], [5, 1], [8, 1]], 19/2949120],
[[[1, 5], [2, 1], [5, 2], [7, 1], [8, 1]], 1/16800],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 3]], 7/108000],
[[[1, 5], [2, 3], [3, 1], [4, 1], [7, 2]], 1/16128],
[[[1, 5], [2, 3], [3, 1], [4, 1], [8, 3]], 31/737280],
[[[1, 5], [2, 3], [3, 1], [4, 1], [14, 2]], 5/903168],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 2]], 199/2764800],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 2]], 31/32768],
[[[1, 5], [2, 3], [3, 1], [4, 3], [16, 1]], 1/8192],
[[[1, 5], [2, 3], [3, 1], [4, 4], [7, 1]], 1/57344],
[[[1, 5], [2, 3], [3, 1], [4, 4], [14, 1]], 11/774144],
[[[1, 5], [2, 3], [3, 1], [4, 5], [5, 1]], 83/1966080],
[[[1, 5], [2, 3], [3, 1], [4, 5], [8, 1]], 881/2359296],
[[[1, 5], [2, 3], [3, 1], [4, 5], [10, 1]], 1/245760],
[[[1, 5], [2, 3], [3, 1], [4, 5], [12, 1]], 1/18432],
[[[1, 5], [2, 3], [3, 1], [4, 6], [6, 1]], 11/4718592],
[[[1, 5], [2, 3], [3, 1], [5, 2], [7, 1]], 1/11200],
[[[1, 5], [2, 3], [3, 1], [5, 3], [6, 1]], 1/7200],
[[[1, 5], [2, 3], [3, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 5], [2, 3], [3, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 5], [2, 3], [3, 1], [7, 1], [8, 2]], 1/64512],
[[[1, 5], [2, 3], [3, 1], [8, 2], [14, 1]], 1/32256],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 2]], 71/921600],
[[[1, 5], [2, 3], [3, 2], [4, 2], [8, 2]], 5/18432],
[[[1, 5], [2, 3], [3, 2], [4, 2], [16, 1]], 1/12288],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 3]], 13/663552],
[[[1, 5], [2, 3], [3, 2], [4, 3], [7, 1]], 19/1548288],
[[[1, 5], [2, 3], [3, 2], [4, 3], [14, 1]], 1/18432],
[[[1, 5], [2, 3], [3, 2], [4, 4], [5, 1]], 1/92160],
[[[1, 5], [2, 3], [3, 2], [4, 4], [6, 2]], 923/15925248],
[[[1, 5], [2, 3], [3, 2], [4, 4], [8, 1]], 11/73728],
[[[1, 5], [2, 3], [3, 2], [4, 4], [10, 1]], 1/138240],
[[[1, 5], [2, 3], [3, 2], [4, 4], [12, 1]], 1/55296],
[[[1, 5], [2, 3], [3, 2], [4, 5], [6, 1]], 401/5308416],
[[[1, 5], [2, 3], [3, 2], [5, 1], [8, 2]], 1/46080],
[[[1, 5], [2, 3], [3, 2], [5, 1], [10, 2]], 1/7200],
[[[1, 5], [2, 3], [3, 2], [5, 2], [6, 2]], 1/8640],
[[[1, 5], [2, 3], [3, 2], [5, 2], [8, 1]], 53/460800],
[[[1, 5], [2, 3], [3, 2], [6, 2], [8, 2]], 29/331776],
[[[1, 5], [2, 3], [3, 2], [7, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 3], [3, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 2]], 13/259200],
[[[1, 5], [2, 3], [3, 3], [4, 1], [8, 2]], 1/27648],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 3]], 11/124416],
[[[1, 5], [2, 3], [3, 3], [4, 2], [7, 1]], 1/387072],
[[[1, 5], [2, 3], [3, 3], [4, 3], [5, 1]], 19/3317760],
[[[1, 5], [2, 3], [3, 3], [4, 3], [6, 2]], 515/1990656],
[[[1, 5], [2, 3], [3, 3], [4, 3], [8, 1]], 5/442368],
[[[1, 5], [2, 3], [3, 3], [4, 4], [6, 1]], 107/5308416],
[[[1, 5], [2, 3], [3, 3], [5, 1], [7, 1]], 1/30240],
[[[1, 5], [2, 3], [3, 3], [5, 2], [6, 1]], 1/8640],
[[[1, 5], [2, 3], [3, 3], [6, 1], [8, 2]], 5/110592],
[[[1, 5], [2, 3], [3, 3], [7, 1], [8, 1]], 1/32256],
[[[1, 5], [2, 3], [3, 4], [4, 2], [5, 1]], 1/829440],
[[[1, 5], [2, 3], [3, 4], [4, 2], [6, 2]], 41/373248],
[[[1, 5], [2, 3], [3, 4], [4, 2], [8, 1]], 1/1327104],
[[[1, 5], [2, 3], [3, 4], [4, 3], [6, 1]], 1/1990656],
[[[1, 5], [2, 3], [3, 4], [5, 1], [8, 1]], 1/51840],
[[[1, 5], [2, 3], [4, 1], [5, 2], [7, 1]], 1/7200],
[[[1, 5], [2, 3], [4, 1], [5, 3], [6, 1]], 1/24000],
[[[1, 5], [2, 3], [4, 1], [6, 1], [7, 2]], 37/451584],
[[[1, 5], [2, 3], [4, 1], [6, 1], [8, 3]], 1/49152],
[[[1, 5], [2, 3], [4, 1], [6, 1], [14, 2]], 1/451584],
[[[1, 5], [2, 3], [4, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 5], [2, 3], [4, 1], [6, 3], [10, 2]], 1/2073600],
[[[1, 5], [2, 3], [4, 1], [7, 1], [8, 2]], 3/57344],
[[[1, 5], [2, 3], [4, 1], [7, 1], [16, 1]], 1/86016],
[[[1, 5], [2, 3], [4, 1], [8, 2], [14, 1]], 11/172032],
[[[1, 5], [2, 3], [4, 1], [14, 1], [16, 1]], 1/43008],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 2]], 25/24576],
[[[1, 5], [2, 3], [4, 2], [5, 1], [16, 1]], 1/6144],
[[[1, 5], [2, 3], [4, 2], [5, 2], [6, 2]], 1/172800],
[[[1, 5], [2, 3], [4, 2], [5, 2], [8, 1]], 33/102400],
[[[1, 5], [2, 3], [4, 2], [5, 2], [10, 1]], 3/6400],
[[[1, 5], [2, 3], [4, 2], [6, 2], [8, 2]], 53/884736],
[[[1, 5], [2, 3], [4, 2], [6, 2], [10, 2]], 1/1382400],
[[[1, 5], [2, 3], [4, 2], [6, 2], [16, 1]], 1/110592],
[[[1, 5], [2, 3], [4, 2], [7, 1], [14, 1]], 3/7168],
[[[1, 5], [2, 3], [4, 2], [8, 1], [10, 2]], 1/76800],
[[[1, 5], [2, 3], [4, 2], [8, 1], [16, 1]], 65/196608],
[[[1, 5], [2, 3], [4, 2], [8, 2], [10, 1]], 113/737280],
[[[1, 5], [2, 3], [4, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 5], [2, 3], [4, 2], [10, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 3], [4, 3], [5, 1], [7, 1]], 127/1290240],
[[[1, 5], [2, 3], [4, 3], [5, 1], [14, 1]], 1/26880],
[[[1, 5], [2, 3], [4, 3], [5, 2], [6, 1]], 7/460800],
[[[1, 5], [2, 3], [4, 3], [6, 1], [8, 2]], 1051/5898240],
[[[1, 5], [2, 3], [4, 3], [6, 1], [10, 2]], 1/460800],
[[[1, 5], [2, 3], [4, 3], [6, 1], [16, 1]], 1/36864],
[[[1, 5], [2, 3], [4, 3], [6, 2], [7, 1]], 1/387072],
[[[1, 5], [2, 3], [4, 3], [7, 1], [8, 1]], 281/516096],
[[[1, 5], [2, 3], [4, 3], [7, 1], [12, 1]], 1/10752],
[[[1, 5], [2, 3], [4, 3], [8, 1], [14, 1]], 311/4128768],
[[[1, 5], [2, 3], [4, 3], [10, 1], [14, 1]], 1/215040],
[[[1, 5], [2, 3], [4, 3], [12, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 3], [4, 4], [5, 1], [6, 2]], 1/1658880],
[[[1, 5], [2, 3], [4, 4], [5, 1], [8, 1]], 247/737280],
[[[1, 5], [2, 3], [4, 4], [5, 1], [10, 1]], 47/921600],
[[[1, 5], [2, 3], [4, 4], [5, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 3], [4, 4], [6, 1], [7, 1]], 1/86016],
[[[1, 5], [2, 3], [4, 4], [6, 2], [8, 1]], 7/5308416],
[[[1, 5], [2, 3], [4, 4], [8, 1], [10, 1]], 13/368640],
[[[1, 5], [2, 3], [4, 4], [8, 1], [12, 1]], 5/24576],
[[[1, 5], [2, 3], [4, 5], [5, 1], [6, 1]], 7/2211840],
[[[1, 5], [2, 3], [4, 5], [6, 1], [8, 1]], 89/3538944],
[[[1, 5], [2, 3], [4, 5], [6, 1], [10, 1]], 7/8847360],
[[[1, 5], [2, 3], [5, 1], [6, 2], [8, 2]], 1/138240],
[[[1, 5], [2, 3], [5, 1], [7, 1], [14, 1]], 1/4480],
[[[1, 5], [2, 3], [5, 1], [8, 2], [10, 1]], 1/38400],
[[[1, 5], [2, 3], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 5], [2, 3], [5, 2], [6, 2], [10, 1]], 1/21600],
[[[1, 5], [2, 3], [5, 2], [8, 1], [10, 1]], 1/4800],
[[[1, 5], [2, 3], [6, 2], [8, 1], [10, 2]], 1/2764800],
[[[1, 5], [2, 3], [7, 1], [8, 1], [14, 1]], 5/28672],
[[[1, 5], [2, 3], [7, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 5]], 1/1492992],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 2]], 647/11059200],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 4]], 41/5971968],
[[[1, 5], [2, 5], [3, 1], [4, 2], [8, 2]], 5027/8847360],
[[[1, 5], [2, 5], [3, 1], [4, 2], [10, 2]], 23/345600],
[[[1, 5], [2, 5], [3, 1], [4, 2], [16, 1]], 13/110592],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 3]], 221/1990656],
[[[1, 5], [2, 5], [3, 1], [4, 3], [7, 1]], 109/2064384],
[[[1, 5], [2, 5], [3, 1], [4, 3], [14, 1]], 1549/6193152],
[[[1, 5], [2, 5], [3, 1], [4, 4], [5, 1]], 125/1769472],
[[[1, 5], [2, 5], [3, 1], [4, 4], [6, 2]], 4679/15925248],
[[[1, 5], [2, 5], [3, 1], [4, 4], [8, 1]], 13585/21233664],
[[[1, 5], [2, 5], [3, 1], [4, 4], [10, 1]], 841/6635520],
[[[1, 5], [2, 5], [3, 1], [4, 4], [12, 1]], 1/9216],
[[[1, 5], [2, 5], [3, 1], [4, 5], [6, 1]], 4067/7077888],
[[[1, 5], [2, 5], [3, 1], [5, 1], [8, 2]], 1/40960],
[[[1, 5], [2, 5], [3, 1], [5, 1], [10, 2]], 17/43200],
[[[1, 5], [2, 5], [3, 1], [5, 2], [6, 2]], 7/86400],
[[[1, 5], [2, 5], [3, 1], [5, 2], [8, 1]], 79/2764800],
[[[1, 5], [2, 5], [3, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 5], [2, 5], [3, 1], [6, 2], [8, 2]], 43/663552],
[[[1, 5], [2, 5], [3, 1], [6, 2], [10, 2]], 47/691200],
[[[1, 5], [2, 5], [3, 1], [6, 3], [7, 1]], 1/16128],
[[[1, 5], [2, 5], [3, 1], [6, 3], [14, 1]], 19/580608],
[[[1, 5], [2, 5], [3, 1], [6, 4], [8, 1]], 13/497664],
[[[1, 5], [2, 5], [3, 1], [6, 4], [10, 1]], 31/1244160],
[[[1, 5], [2, 5], [3, 1], [7, 1], [14, 1]], 17/64512],
[[[1, 5], [2, 5], [3, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 5], [2, 5], [3, 1], [8, 2], [10, 1]], 11/276480],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 2]], 343/11059200],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 4]], 47/373248],
[[[1, 5], [2, 5], [3, 2], [4, 1], [8, 2]], 5/55296],
[[[1, 5], [2, 5], [3, 2], [4, 1], [10, 2]], 1/57600],
[[[1, 5], [2, 5], [3, 2], [4, 1], [16, 1]], 1/73728],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 3]], 647/995328],
[[[1, 5], [2, 5], [3, 2], [4, 2], [7, 1]], 229/6193152],
[[[1, 5], [2, 5], [3, 2], [4, 2], [14, 1]], 1/14336],
[[[1, 5], [2, 5], [3, 2], [4, 3], [5, 1]], 203/4423680],
[[[1, 5], [2, 5], [3, 2], [4, 3], [6, 2]], 1787/1327104],
[[[1, 5], [2, 5], [3, 2], [4, 3], [8, 1]], 619/2359296],
[[[1, 5], [2, 5], [3, 2], [4, 3], [10, 1]], 5/110592],
[[[1, 5], [2, 5], [3, 2], [4, 3], [12, 1]], 7/165888],
[[[1, 5], [2, 5], [3, 2], [4, 4], [6, 1]], 4679/15925248],
[[[1, 5], [2, 5], [3, 2], [5, 1], [6, 3]], 7/34560],
[[[1, 5], [2, 5], [3, 2], [5, 1], [7, 1]], 1/69120],
[[[1, 5], [2, 5], [3, 2], [5, 2], [6, 1]], 47/691200],
[[[1, 5], [2, 5], [3, 2], [6, 1], [8, 2]], 43/663552],
[[[1, 5], [2, 5], [3, 2], [6, 1], [10, 2]], 7/86400],
[[[1, 5], [2, 5], [3, 2], [6, 2], [7, 1]], 1/5184],
[[[1, 5], [2, 5], [3, 2], [6, 2], [14, 1]], 1/5184],
[[[1, 5], [2, 5], [3, 2], [6, 3], [8, 1]], 17/82944],
[[[1, 5], [2, 5], [3, 2], [6, 3], [10, 1]], 13/77760],
[[[1, 5], [2, 5], [3, 2], [7, 1], [8, 1]], 37/1548288],
[[[1, 5], [2, 5], [3, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 3]], 5/7776],
[[[1, 5], [2, 5], [3, 3], [4, 1], [7, 1]], 5/387072],
[[[1, 5], [2, 5], [3, 3], [4, 2], [5, 1]], 103/4423680],
[[[1, 5], [2, 5], [3, 3], [4, 2], [6, 2]], 647/995328],
[[[1, 5], [2, 5], [3, 3], [4, 2], [8, 1]], 95/1327104],
[[[1, 5], [2, 5], [3, 3], [4, 3], [6, 1]], 221/1990656],
[[[1, 5], [2, 5], [3, 3], [5, 1], [6, 2]], 13/77760],
[[[1, 5], [2, 5], [3, 3], [5, 1], [8, 1]], 61/3317760],
[[[1, 5], [2, 5], [3, 3], [6, 1], [7, 1]], 19/580608],
[[[1, 5], [2, 5], [3, 3], [6, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 5], [3, 3], [6, 2], [8, 1]], 17/82944],
[[[1, 5], [2, 5], [3, 3], [6, 2], [10, 1]], 7/34560],
[[[1, 5], [2, 5], [3, 4], [4, 1], [5, 1]], 1/155520],
[[[1, 5], [2, 5], [3, 4], [4, 1], [6, 2]], 47/373248],
[[[1, 5], [2, 5], [3, 4], [4, 1], [8, 1]], 31/1990656],
[[[1, 5], [2, 5], [3, 4], [4, 2], [6, 1]], 41/5971968],
[[[1, 5], [2, 5], [3, 4], [5, 1], [6, 1]], 31/1244160],
[[[1, 5], [2, 5], [3, 4], [6, 1], [8, 1]], 13/497664],
[[[1, 5], [2, 5], [3, 5], [4, 1], [6, 1]], 1/1492992],
[[[1, 5], [2, 5], [4, 1], [5, 1], [8, 2]], 49/368640],
[[[1, 5], [2, 5], [4, 1], [5, 1], [10, 2]], 89/115200],
[[[1, 5], [2, 5], [4, 1], [5, 1], [16, 1]], 7/184320],
[[[1, 5], [2, 5], [4, 1], [5, 2], [6, 2]], 1/57600],
[[[1, 5], [2, 5], [4, 1], [5, 2], [8, 1]], 1/9600],
[[[1, 5], [2, 5], [4, 1], [5, 2], [10, 1]], 89/115200],
[[[1, 5], [2, 5], [4, 1], [6, 2], [8, 2]], 5/55296],
[[[1, 5], [2, 5], [4, 1], [6, 2], [10, 2]], 343/11059200],
[[[1, 5], [2, 5], [4, 1], [6, 2], [16, 1]], 1/73728],
[[[1, 5], [2, 5], [4, 1], [6, 3], [14, 1]], 5/387072],
[[[1, 5], [2, 5], [4, 1], [6, 4], [8, 1]], 31/1990656],
[[[1, 5], [2, 5], [4, 1], [6, 4], [10, 1]], 1/155520],
[[[1, 5], [2, 5], [4, 1], [7, 1], [14, 1]], 2173/3612672],
[[[1, 5], [2, 5], [4, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 5], [4, 1], [8, 1], [16, 1]], 9263/58982400],
[[[1, 5], [2, 5], [4, 1], [8, 2], [10, 1]], 49/368640],
[[[1, 5], [2, 5], [4, 1], [10, 1], [16, 1]], 7/184320],
[[[1, 5], [2, 5], [4, 2], [5, 1], [7, 1]], 407/5160960],
[[[1, 5], [2, 5], [4, 2], [5, 1], [14, 1]], 1/7680],
[[[1, 5], [2, 5], [4, 2], [5, 2], [6, 1]], 23/345600],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 2]], 5027/8847360],
[[[1, 5], [2, 5], [4, 2], [6, 1], [10, 2]], 647/11059200],
[[[1, 5], [2, 5], [4, 2], [6, 1], [16, 1]], 13/110592],
[[[1, 5], [2, 5], [4, 2], [6, 2], [7, 1]], 1/14336],
[[[1, 5], [2, 5], [4, 2], [6, 2], [14, 1]], 229/6193152],
[[[1, 5], [2, 5], [4, 2], [6, 3], [8, 1]], 95/1327104],
[[[1, 5], [2, 5], [4, 2], [6, 3], [10, 1]], 103/4423680],
[[[1, 5], [2, 5], [4, 2], [7, 1], [8, 1]], 311/589824],
[[[1, 5], [2, 5], [4, 2], [7, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 5], [4, 2], [7, 1], [12, 1]], 1/32256],
[[[1, 5], [2, 5], [4, 2], [8, 1], [14, 1]], 311/589824],
[[[1, 5], [2, 5], [4, 2], [10, 1], [14, 1]], 407/5160960],
[[[1, 5], [2, 5], [4, 2], [12, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 5], [4, 3], [5, 1], [6, 2]], 5/110592],
[[[1, 5], [2, 5], [4, 3], [5, 1], [8, 1]], 16529/17694720],
[[[1, 5], [2, 5], [4, 3], [5, 1], [10, 1]], 233/204800],
[[[1, 5], [2, 5], [4, 3], [5, 1], [12, 1]], 19/138240],
[[[1, 5], [2, 5], [4, 3], [6, 1], [7, 1]], 1549/6193152],
[[[1, 5], [2, 5], [4, 3], [6, 1], [14, 1]], 109/2064384],
[[[1, 5], [2, 5], [4, 3], [6, 2], [8, 1]], 619/2359296],
[[[1, 5], [2, 5], [4, 3], [6, 2], [10, 1]], 203/4423680],
[[[1, 5], [2, 5], [4, 3], [6, 2], [12, 1]], 7/165888],
[[[1, 5], [2, 5], [4, 3], [8, 1], [10, 1]], 16529/17694720],
[[[1, 5], [2, 5], [4, 3], [8, 1], [12, 1]], 539/884736],
[[[1, 5], [2, 5], [4, 3], [10, 1], [12, 1]], 19/138240],
[[[1, 5], [2, 5], [4, 4], [5, 1], [6, 1]], 841/6635520],
[[[1, 5], [2, 5], [4, 4], [6, 1], [8, 1]], 13585/21233664],
[[[1, 5], [2, 5], [4, 4], [6, 1], [10, 1]], 125/1769472],
[[[1, 5], [2, 5], [4, 4], [6, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 5], [5, 1], [6, 1], [8, 2]], 11/276480],
[[[1, 5], [2, 5], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 5], [2, 5], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 5], [2, 5], [5, 1], [7, 1], [8, 1]], 43/1290240],
[[[1, 5], [2, 5], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 5], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 5], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 5], [5, 2], [6, 1], [10, 1]], 17/43200],
[[[1, 5], [2, 5], [6, 1], [7, 1], [14, 1]], 17/64512],
[[[1, 5], [2, 5], [6, 1], [8, 1], [10, 2]], 79/2764800],
[[[1, 5], [2, 5], [6, 1], [8, 2], [10, 1]], 1/40960],
[[[1, 5], [2, 5], [6, 2], [8, 1], [14, 1]], 37/1548288],
[[[1, 5], [2, 5], [6, 2], [10, 1], [14, 1]], 1/69120],
[[[1, 5], [2, 5], [6, 3], [8, 1], [10, 1]], 61/3317760],
[[[1, 5], [2, 5], [8, 1], [10, 1], [14, 1]], 43/1290240],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 2]], 23/6635520],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 4]], 845/7962624],
[[[1, 5], [2, 7], [3, 1], [4, 1], [8, 2]], 19/655360],
[[[1, 5], [2, 7], [3, 1], [4, 1], [10, 2]], 2051/16588800],
[[[1, 5], [2, 7], [3, 1], [4, 1], [16, 1]], 3431/464486400],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 3]], 244961/477757440],
[[[1, 5], [2, 7], [3, 1], [4, 2], [7, 1]], 335/18579456],
[[[1, 5], [2, 7], [3, 1], [4, 2], [14, 1]], 1103/11612160],
[[[1, 5], [2, 7], [3, 1], [4, 3], [5, 1]], 3649/106168320],
[[[1, 5], [2, 7], [3, 1], [4, 3], [6, 2]], 28207/26542080],
[[[1, 5], [2, 7], [3, 1], [4, 3], [8, 1]], 7162259/22295347200],
[[[1, 5], [2, 7], [3, 1], [4, 3], [10, 1]], 4177/26542080],
[[[1, 5], [2, 7], [3, 1], [4, 3], [12, 1]], 1/55296],
[[[1, 5], [2, 7], [3, 1], [4, 4], [6, 1]], 1226369/2548039680],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 3]], 1/23040],
[[[1, 5], [2, 7], [3, 1], [5, 1], [7, 1]], 1/860160],
[[[1, 5], [2, 7], [3, 1], [5, 2], [6, 1]], 1/345600],
[[[1, 5], [2, 7], [3, 1], [6, 1], [8, 2]], 1469/53084160],
[[[1, 5], [2, 7], [3, 1], [6, 1], [10, 2]], 53/345600],
[[[1, 5], [2, 7], [3, 1], [6, 2], [7, 1]], 5/86016],
[[[1, 5], [2, 7], [3, 1], [6, 2], [14, 1]], 143/1548288],
[[[1, 5], [2, 7], [3, 1], [6, 3], [8, 1]], 721/9953280],
[[[1, 5], [2, 7], [3, 1], [6, 3], [10, 1]], 1867/9953280],
[[[1, 5], [2, 7], [3, 1], [7, 1], [8, 1]], 1/516096],
[[[1, 5], [2, 7], [3, 1], [8, 1], [14, 1]], 1/258048],
[[[1, 5], [2, 7], [3, 1], [10, 1], [14, 1]], 13/322560],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 3]], 93143/119439360],
[[[1, 5], [2, 7], [3, 2], [4, 1], [7, 1]], 13/2654208],
[[[1, 5], [2, 7], [3, 2], [4, 1], [14, 1]], 1/193536],
[[[1, 5], [2, 7], [3, 2], [4, 2], [5, 1]], 91/6635520],
[[[1, 5], [2, 7], [3, 2], [4, 2], [6, 2]], 9809/10616832],
[[[1, 5], [2, 7], [3, 2], [4, 2], [8, 1]], 3587/53084160],
[[[1, 5], [2, 7], [3, 2], [4, 2], [10, 1]], 23/1105920],
[[[1, 5], [2, 7], [3, 2], [4, 2], [12, 1]], 17/4976640],
[[[1, 5], [2, 7], [3, 2], [4, 3], [6, 1]], 13169/53084160],
[[[1, 5], [2, 7], [3, 2], [5, 1], [6, 2]], 19/276480],
[[[1, 5], [2, 7], [3, 2], [5, 1], [8, 1]], 1/737280],
[[[1, 5], [2, 7], [3, 2], [5, 1], [10, 1]], 17/2073600],
[[[1, 5], [2, 7], [3, 2], [6, 1], [7, 1]], 47/4644864],
[[[1, 5], [2, 7], [3, 2], [6, 1], [14, 1]], 5/165888],
[[[1, 5], [2, 7], [3, 2], [6, 2], [8, 1]], 265/2654208],
[[[1, 5], [2, 7], [3, 2], [6, 2], [10, 1]], 1/3072],
[[[1, 5], [2, 7], [3, 3], [4, 1], [5, 1]], 23/7962624],
[[[1, 5], [2, 7], [3, 3], [4, 1], [6, 2]], 1529/7962624],
[[[1, 5], [2, 7], [3, 3], [4, 1], [8, 1]], 5/589824],
[[[1, 5], [2, 7], [3, 3], [4, 2], [6, 1]], 6593/159252480],
[[[1, 5], [2, 7], [3, 3], [5, 1], [6, 1]], 89/9953280],
[[[1, 5], [2, 7], [3, 3], [6, 1], [8, 1]], 19/1327104],
[[[1, 5], [2, 7], [3, 3], [6, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 7], [3, 4], [4, 1], [6, 1]], 197/23887872],
[[[1, 5], [2, 7], [4, 1], [5, 1], [7, 1]], 79/15482880],
[[[1, 5], [2, 7], [4, 1], [5, 2], [6, 1]], 1/368640],
[[[1, 5], [2, 7], [4, 1], [6, 1], [8, 2]], 197/2211840],
[[[1, 5], [2, 7], [4, 1], [6, 1], [10, 2]], 271/1228800],
[[[1, 5], [2, 7], [4, 1], [6, 1], [16, 1]], 19/1474560],
[[[1, 5], [2, 7], [4, 1], [6, 2], [7, 1]], 5/258048],
[[[1, 5], [2, 7], [4, 1], [6, 2], [14, 1]], 19/163840],
[[[1, 5], [2, 7], [4, 1], [6, 3], [8, 1]], 8741/79626240],
[[[1, 5], [2, 7], [4, 1], [6, 3], [10, 1]], 28453/199065600],
[[[1, 5], [2, 7], [4, 1], [7, 1], [8, 1]], 43/917504],
[[[1, 5], [2, 7], [4, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 5], [2, 7], [4, 1], [8, 1], [14, 1]], 491/7077888],
[[[1, 5], [2, 7], [4, 1], [10, 1], [14, 1]], 263/2211840],
[[[1, 5], [2, 7], [4, 2], [5, 1], [6, 2]], 31/737280],
[[[1, 5], [2, 7], [4, 2], [5, 1], [8, 1]], 6541/44236800],
[[[1, 5], [2, 7], [4, 2], [5, 1], [10, 1]], 1867/3686400],
[[[1, 5], [2, 7], [4, 2], [5, 1], [12, 1]], 47/4147200],
[[[1, 5], [2, 7], [4, 2], [6, 1], [7, 1]], 17/258048],
[[[1, 5], [2, 7], [4, 2], [6, 1], [14, 1]], 2887/15482880],
[[[1, 5], [2, 7], [4, 2], [6, 2], [8, 1]], 947/1769472],
[[[1, 5], [2, 7], [4, 2], [6, 2], [10, 1]], 757/2457600],
[[[1, 5], [2, 7], [4, 2], [6, 2], [12, 1]], 5/663552],
[[[1, 5], [2, 7], [4, 2], [8, 1], [10, 1]], 9511/14745600],
[[[1, 5], [2, 7], [4, 2], [8, 1], [12, 1]], 257/13271040],
[[[1, 5], [2, 7], [4, 2], [10, 1], [12, 1]], 7/552960],
[[[1, 5], [2, 7], [4, 3], [5, 1], [6, 1]], 3587/44236800],
[[[1, 5], [2, 7], [4, 3], [6, 1], [8, 1]], 85007/70778880],
[[[1, 5], [2, 7], [4, 3], [6, 1], [10, 1]], 64817/176947200],
[[[1, 5], [2, 7], [4, 3], [6, 1], [12, 1]], 227/3317760],
[[[1, 5], [2, 7], [5, 1], [6, 1], [7, 1]], 1/645120],
[[[1, 5], [2, 7], [5, 1], [6, 2], [10, 1]], 7/92160],
[[[1, 5], [2, 7], [5, 1], [8, 1], [10, 1]], 1/24576],
[[[1, 5], [2, 7], [6, 1], [7, 1], [8, 1]], 1/516096],
[[[1, 5], [2, 7], [6, 1], [8, 1], [14, 1]], 31/967680],
[[[1, 5], [2, 7], [6, 1], [10, 1], [14, 1]], 529/7741440],
[[[1, 5], [2, 7], [6, 2], [8, 1], [10, 1]], 847/11059200],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 3]], 31291/119439360],
[[[1, 5], [2, 9], [3, 1], [4, 1], [7, 1]], 1/2359296],
[[[1, 5], [2, 9], [3, 1], [4, 1], [14, 1]], 17233/1300561920],
[[[1, 5], [2, 9], [3, 1], [4, 2], [5, 1]], 131/58982400],
[[[1, 5], [2, 9], [3, 1], [4, 2], [6, 2]], 852127/2229534720],
[[[1, 5], [2, 9], [3, 1], [4, 2], [8, 1]], 5407/247726080],
[[[1, 5], [2, 9], [3, 1], [4, 2], [10, 1]], 131071/2786918400],
[[[1, 5], [2, 9], [3, 1], [4, 2], [12, 1]], 43/69672960],
[[[1, 5], [2, 9], [3, 1], [4, 3], [6, 1]], 32321/185794560],
[[[1, 5], [2, 9], [3, 1], [5, 1], [6, 2]], 7/1843200],
[[[1, 5], [2, 9], [3, 1], [5, 1], [8, 1]], 1/35389440],
[[[1, 5], [2, 9], [3, 1], [5, 1], [10, 1]], 317/58060800],
[[[1, 5], [2, 9], [3, 1], [6, 1], [7, 1]], 127/82575360],
[[[1, 5], [2, 9], [3, 1], [6, 1], [14, 1]], 563/24772608],
[[[1, 5], [2, 9], [3, 1], [6, 2], [8, 1]], 71/2903040],
[[[1, 5], [2, 9], [3, 1], [6, 2], [10, 1]], 39359/265420800],
[[[1, 5], [2, 9], [3, 1], [8, 1], [10, 1]], 7/5529600],
[[[1, 5], [2, 9], [3, 2], [4, 1], [5, 1]], 5/21233664],
[[[1, 5], [2, 9], [3, 2], [4, 1], [6, 2]], 71731/557383680],
[[[1, 5], [2, 9], [3, 2], [4, 1], [8, 1]], 9187/5945425920],
[[[1, 5], [2, 9], [3, 2], [4, 1], [10, 1]], 1/691200],
[[[1, 5], [2, 9], [3, 2], [4, 2], [6, 1]], 5231/148635648],
[[[1, 5], [2, 9], [3, 2], [5, 1], [6, 1]], 23/19660800],
[[[1, 5], [2, 9], [3, 2], [6, 1], [8, 1]], 67/46448640],
[[[1, 5], [2, 9], [3, 2], [6, 1], [10, 1]], 257/16588800],
[[[1, 5], [2, 9], [3, 3], [4, 1], [6, 1]], 979/278691840],
[[[1, 5], [2, 9], [4, 1], [5, 1], [8, 1]], 7093/1651507200],
[[[1, 5], [2, 9], [4, 1], [5, 1], [10, 1]], 1823/51609600],
[[[1, 5], [2, 9], [4, 1], [6, 1], [7, 1]], 71/41287680],
[[[1, 5], [2, 9], [4, 1], [6, 1], [14, 1]], 25187/289013760],
[[[1, 5], [2, 9], [4, 1], [6, 2], [8, 1]], 281249/2972712960],
[[[1, 5], [2, 9], [4, 1], [6, 2], [10, 1]], 557917/1857945600],
[[[1, 5], [2, 9], [4, 1], [8, 1], [10, 1]], 309439/7431782400],
[[[1, 5], [2, 9], [4, 1], [8, 1], [12, 1]], 1/2293760],
[[[1, 5], [2, 9], [4, 2], [5, 1], [6, 1]], 23/4915200],
[[[1, 5], [2, 9], [4, 2], [6, 1], [8, 1]], 33953/165150720],
[[[1, 5], [2, 9], [4, 2], [6, 1], [10, 1]], 16391/45875200],
[[[1, 5], [2, 9], [4, 2], [6, 1], [12, 1]], 7/3317760],
[[[1, 5], [2, 9], [5, 1], [6, 1], [10, 1]], 23/921600],
[[[1, 5], [2, 9], [6, 1], [8, 1], [10, 1]], 6281/206438400],
[[[1, 5], [2, 11], [3, 1], [4, 1], [5, 1]], 101/9909043200],
[[[1, 5], [2, 11], [3, 1], [4, 1], [6, 2]], 536249/9555148800],
[[[1, 5], [2, 11], [3, 1], [4, 1], [8, 1]], 2923/11890851840],
[[[1, 5], [2, 11], [3, 1], [4, 1], [10, 1]], 15299/2786918400],
[[[1, 5], [2, 11], [3, 1], [4, 2], [6, 1]], 3975823/152882380800],
[[[1, 5], [2, 11], [3, 1], [5, 1], [6, 1]], 11/275251200],
[[[1, 5], [2, 11], [3, 1], [6, 1], [8, 1]], 4873/6370099200],
[[[1, 5], [2, 11], [3, 1], [6, 1], [10, 1]], 172189/11147673600],
[[[1, 5], [2, 11], [3, 2], [4, 1], [6, 1]], 49639/26754416640],
[[[1, 5], [2, 11], [4, 1], [6, 1], [8, 1]], 5147/509607936],
[[[1, 5], [2, 11], [4, 1], [6, 1], [10, 1]], 4018139/44590694400],
[[[1, 5], [2, 13], [3, 1], [4, 1], [6, 1]], 371479/178362777600],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 3]], 7/28800],
[[[1, 6], [2, 2], [3, 1], [4, 1], [7, 2]], 1/12544],
[[[1, 6], [2, 2], [3, 1], [4, 1], [8, 3]], 1/36864],
[[[1, 6], [2, 2], [3, 1], [4, 3], [5, 2]], 53/921600],
[[[1, 6], [2, 2], [3, 1], [4, 3], [8, 2]], 37/184320],
[[[1, 6], [2, 2], [3, 1], [4, 3], [16, 1]], 1/36864],
[[[1, 6], [2, 2], [3, 1], [4, 4], [7, 1]], 23/688128],
[[[1, 6], [2, 2], [3, 1], [4, 4], [14, 1]], 17/7741440],
[[[1, 6], [2, 2], [3, 1], [4, 5], [5, 1]], 1/327680],
[[[1, 6], [2, 2], [3, 1], [4, 5], [8, 1]], 1/55296],
[[[1, 6], [2, 2], [3, 1], [5, 2], [7, 1]], 47/201600],
[[[1, 6], [2, 2], [3, 1], [5, 3], [6, 1]], 7/54000],
[[[1, 6], [2, 2], [3, 1], [6, 1], [7, 2]], 1/56448],
[[[1, 6], [2, 2], [3, 1], [7, 1], [8, 2]], 1/645120],
[[[1, 6], [2, 2], [3, 1], [8, 2], [14, 1]], 1/322560],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 2]], 167/921600],
[[[1, 6], [2, 2], [3, 2], [4, 2], [8, 2]], 55/294912],
[[[1, 6], [2, 2], [3, 2], [4, 2], [16, 1]], 1/36864],
[[[1, 6], [2, 2], [3, 2], [4, 3], [7, 1]], 5/172032],
[[[1, 6], [2, 2], [3, 2], [4, 4], [5, 1]], 11/368640],
[[[1, 6], [2, 2], [3, 2], [4, 4], [6, 2]], 11/3538944],
[[[1, 6], [2, 2], [3, 2], [4, 4], [8, 1]], 187/1769472],
[[[1, 6], [2, 2], [3, 2], [4, 4], [12, 1]], 1/55296],
[[[1, 6], [2, 2], [3, 2], [4, 5], [6, 1]], 1/589824],
[[[1, 6], [2, 2], [3, 2], [5, 1], [8, 2]], 1/230400],
[[[1, 6], [2, 2], [3, 2], [5, 2], [6, 2]], 1/28800],
[[[1, 6], [2, 2], [3, 2], [5, 2], [8, 1]], 23/230400],
[[[1, 6], [2, 2], [3, 2], [6, 2], [8, 2]], 1/73728],
[[[1, 6], [2, 2], [3, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 2], [3, 3], [4, 1], [5, 2]], 11/86400],
[[[1, 6], [2, 2], [3, 3], [4, 1], [8, 2]], 1/110592],
[[[1, 6], [2, 2], [3, 3], [4, 2], [7, 1]], 1/129024],
[[[1, 6], [2, 2], [3, 3], [4, 3], [5, 1]], 23/1105920],
[[[1, 6], [2, 2], [3, 3], [4, 3], [6, 2]], 1/331776],
[[[1, 6], [2, 2], [3, 3], [4, 3], [8, 1]], 5/442368],
[[[1, 6], [2, 2], [3, 3], [4, 4], [6, 1]], 17/884736],
[[[1, 6], [2, 2], [3, 3], [5, 1], [7, 1]], 1/13440],
[[[1, 6], [2, 2], [3, 3], [5, 2], [6, 1]], 7/51840],
[[[1, 6], [2, 2], [3, 3], [6, 1], [8, 2]], 1/55296],
[[[1, 6], [2, 2], [3, 3], [7, 1], [8, 1]], 1/32256],
[[[1, 6], [2, 2], [3, 4], [4, 2], [5, 1]], 1/207360],
[[[1, 6], [2, 2], [3, 4], [4, 2], [6, 2]], 41/746496],
[[[1, 6], [2, 2], [3, 4], [4, 2], [8, 1]], 1/663552],
[[[1, 6], [2, 2], [3, 4], [4, 3], [6, 1]], 1/995328],
[[[1, 6], [2, 2], [3, 4], [5, 1], [8, 1]], 1/41472],
[[[1, 6], [2, 2], [4, 1], [5, 2], [7, 1]], 23/67200],
[[[1, 6], [2, 2], [4, 1], [5, 3], [6, 1]], 1/36000],
[[[1, 6], [2, 2], [4, 1], [6, 1], [7, 2]], 1/225792],
[[[1, 6], [2, 2], [4, 1], [7, 1], [8, 2]], 1/1720320],
[[[1, 6], [2, 2], [4, 1], [8, 2], [14, 1]], 1/344064],
[[[1, 6], [2, 2], [4, 1], [14, 1], [16, 1]], 1/322560],
[[[1, 6], [2, 2], [4, 2], [5, 1], [8, 2]], 431/2457600],
[[[1, 6], [2, 2], [4, 2], [5, 1], [16, 1]], 1/30720],
[[[1, 6], [2, 2], [4, 2], [5, 2], [6, 2]], 1/1036800],
[[[1, 6], [2, 2], [4, 2], [5, 2], [8, 1]], 13/153600],
[[[1, 6], [2, 2], [4, 2], [5, 2], [10, 1]], 1/9600],
[[[1, 6], [2, 2], [4, 2], [6, 2], [8, 2]], 5/884736],
[[[1, 6], [2, 2], [4, 2], [6, 2], [10, 2]], 1/16588800],
[[[1, 6], [2, 2], [4, 2], [7, 1], [14, 1]], 53/860160],
[[[1, 6], [2, 2], [4, 2], [8, 1], [16, 1]], 5/73728],
[[[1, 6], [2, 2], [4, 2], [8, 2], [10, 1]], 9/819200],
[[[1, 6], [2, 2], [4, 2], [8, 2], [12, 1]], 1/73728],
[[[1, 6], [2, 2], [4, 3], [5, 1], [7, 1]], 29/430080],
[[[1, 6], [2, 2], [4, 3], [5, 2], [6, 1]], 1/230400],
[[[1, 6], [2, 2], [4, 3], [6, 1], [8, 2]], 1/32768],
[[[1, 6], [2, 2], [4, 3], [7, 1], [8, 1]], 1/172032],
[[[1, 6], [2, 2], [4, 3], [8, 1], [14, 1]], 139/15482880],
[[[1, 6], [2, 2], [4, 4], [5, 1], [8, 1]], 121/1474560],
[[[1, 6], [2, 2], [4, 4], [5, 1], [10, 1]], 1/122880],
[[[1, 6], [2, 2], [4, 4], [5, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 2], [4, 4], [6, 1], [7, 1]], 1/516096],
[[[1, 6], [2, 2], [4, 4], [8, 1], [10, 1]], 1/245760],
[[[1, 6], [2, 2], [4, 4], [8, 1], [12, 1]], 5/147456],
[[[1, 6], [2, 2], [5, 1], [7, 1], [14, 1]], 1/53760],
[[[1, 6], [2, 2], [5, 2], [6, 1], [7, 1]], 1/25200],
[[[1, 6], [2, 2], [7, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 6], [2, 2], [7, 1], [10, 1], [14, 1]], 1/268800],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 2]], 2599/11059200],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 4]], 1/5971968],
[[[1, 6], [2, 4], [3, 1], [4, 2], [8, 2]], 7021/11796480],
[[[1, 6], [2, 4], [3, 1], [4, 2], [10, 2]], 1/460800],
[[[1, 6], [2, 4], [3, 1], [4, 2], [16, 1]], 227/2211840],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 3]], 59/7962624],
[[[1, 6], [2, 4], [3, 1], [4, 3], [7, 1]], 181/1548288],
[[[1, 6], [2, 4], [3, 1], [4, 3], [14, 1]], 11/172032],
[[[1, 6], [2, 4], [3, 1], [4, 4], [5, 1]], 4273/23592960],
[[[1, 6], [2, 4], [3, 1], [4, 4], [6, 2]], 4241/79626240],
[[[1, 6], [2, 4], [3, 1], [4, 4], [8, 1]], 108569/106168320],
[[[1, 6], [2, 4], [3, 1], [4, 4], [10, 1]], 233/8294400],
[[[1, 6], [2, 4], [3, 1], [4, 4], [12, 1]], 1/12288],
[[[1, 6], [2, 4], [3, 1], [4, 5], [6, 1]], 4069/42467328],
[[[1, 6], [2, 4], [3, 1], [5, 1], [8, 2]], 7/368640],
[[[1, 6], [2, 4], [3, 1], [5, 1], [10, 2]], 23/108000],
[[[1, 6], [2, 4], [3, 1], [5, 2], [6, 2]], 1/10368],
[[[1, 6], [2, 4], [3, 1], [5, 2], [8, 1]], 53/460800],
[[[1, 6], [2, 4], [3, 1], [5, 2], [10, 1]], 17/115200],
[[[1, 6], [2, 4], [3, 1], [6, 2], [8, 2]], 67/3317760],
[[[1, 6], [2, 4], [3, 1], [6, 2], [10, 2]], 7/4147200],
[[[1, 6], [2, 4], [3, 1], [6, 3], [14, 1]], 1/193536],
[[[1, 6], [2, 4], [3, 1], [6, 4], [8, 1]], 1/165888],
[[[1, 6], [2, 4], [3, 1], [6, 4], [10, 1]], 1/414720],
[[[1, 6], [2, 4], [3, 1], [7, 1], [14, 1]], 67/258048],
[[[1, 6], [2, 4], [3, 1], [8, 2], [10, 1]], 31/1382400],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 2]], 521/2764800],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 4]], 1/248832],
[[[1, 6], [2, 4], [3, 2], [4, 1], [8, 2]], 59/737280],
[[[1, 6], [2, 4], [3, 2], [4, 1], [16, 1]], 5/442368],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 3]], 2599/19906560],
[[[1, 6], [2, 4], [3, 2], [4, 2], [7, 1]], 103/884736],
[[[1, 6], [2, 4], [3, 2], [4, 2], [14, 1]], 31/516096],
[[[1, 6], [2, 4], [3, 2], [4, 3], [5, 1]], 71/552960],
[[[1, 6], [2, 4], [3, 2], [4, 3], [6, 2]], 613/1327104],
[[[1, 6], [2, 4], [3, 2], [4, 3], [8, 1]], 2651/5308416],
[[[1, 6], [2, 4], [3, 2], [4, 3], [10, 1]], 7/184320],
[[[1, 6], [2, 4], [3, 2], [4, 3], [12, 1]], 1/18432],
[[[1, 6], [2, 4], [3, 2], [4, 4], [6, 1]], 1729/3538944],
[[[1, 6], [2, 4], [3, 2], [5, 1], [6, 3]], 1/11520],
[[[1, 6], [2, 4], [3, 2], [5, 1], [7, 1]], 11/129024],
[[[1, 6], [2, 4], [3, 2], [5, 2], [6, 1]], 61/230400],
[[[1, 6], [2, 4], [3, 2], [6, 1], [8, 2]], 71/1105920],
[[[1, 6], [2, 4], [3, 2], [6, 2], [7, 1]], 1/5184],
[[[1, 6], [2, 4], [3, 2], [6, 2], [14, 1]], 1/48384],
[[[1, 6], [2, 4], [3, 2], [6, 3], [8, 1]], 1/20736],
[[[1, 6], [2, 4], [3, 2], [6, 3], [10, 1]], 1/41472],
[[[1, 6], [2, 4], [3, 2], [7, 1], [8, 1]], 5/86016],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 3]], 17/62208],
[[[1, 6], [2, 4], [3, 3], [4, 1], [7, 1]], 5/96768],
[[[1, 6], [2, 4], [3, 3], [4, 2], [5, 1]], 29/294912],
[[[1, 6], [2, 4], [3, 3], [4, 2], [6, 2]], 1133/1492992],
[[[1, 6], [2, 4], [3, 3], [4, 2], [8, 1]], 89/663552],
[[[1, 6], [2, 4], [3, 3], [4, 3], [6, 1]], 161/663552],
[[[1, 6], [2, 4], [3, 3], [5, 1], [6, 2]], 103/311040],
[[[1, 6], [2, 4], [3, 3], [5, 1], [8, 1]], 109/1658880],
[[[1, 6], [2, 4], [3, 3], [6, 1], [7, 1]], 1/13824],
[[[1, 6], [2, 4], [3, 3], [6, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 4], [3, 3], [6, 2], [8, 1]], 13/82944],
[[[1, 6], [2, 4], [3, 3], [6, 2], [10, 1]], 1/8640],
[[[1, 6], [2, 4], [3, 4], [4, 1], [5, 1]], 23/622080],
[[[1, 6], [2, 4], [3, 4], [4, 1], [6, 2]], 91/373248],
[[[1, 6], [2, 4], [3, 4], [4, 1], [8, 1]], 5/124416],
[[[1, 6], [2, 4], [3, 4], [4, 2], [6, 1]], 139/5971968],
[[[1, 6], [2, 4], [3, 4], [5, 1], [6, 1]], 47/622080],
[[[1, 6], [2, 4], [3, 4], [6, 1], [8, 1]], 5/124416],
[[[1, 6], [2, 4], [3, 5], [4, 1], [6, 1]], 1/373248],
[[[1, 6], [2, 4], [4, 1], [5, 1], [8, 2]], 53/368640],
[[[1, 6], [2, 4], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 6], [2, 4], [4, 1], [5, 1], [16, 1]], 7/368640],
[[[1, 6], [2, 4], [4, 1], [5, 2], [6, 2]], 1/86400],
[[[1, 6], [2, 4], [4, 1], [5, 2], [8, 1]], 311/1382400],
[[[1, 6], [2, 4], [4, 1], [5, 2], [10, 1]], 1/1920],
[[[1, 6], [2, 4], [4, 1], [6, 2], [8, 2]], 47/1769472],
[[[1, 6], [2, 4], [4, 1], [6, 2], [10, 2]], 11/5529600],
[[[1, 6], [2, 4], [4, 1], [6, 2], [16, 1]], 17/3317760],
[[[1, 6], [2, 4], [4, 1], [6, 3], [14, 1]], 1/1161216],
[[[1, 6], [2, 4], [4, 1], [6, 4], [8, 1]], 7/3981312],
[[[1, 6], [2, 4], [4, 1], [6, 4], [10, 1]], 1/2488320],
[[[1, 6], [2, 4], [4, 1], [7, 1], [14, 1]], 19/57344],
[[[1, 6], [2, 4], [4, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 6], [2, 4], [4, 1], [8, 1], [16, 1]], 37/737280],
[[[1, 6], [2, 4], [4, 1], [8, 2], [10, 1]], 73/1474560],
[[[1, 6], [2, 4], [4, 1], [10, 1], [16, 1]], 47/2764800],
[[[1, 6], [2, 4], [4, 2], [5, 1], [7, 1]], 1187/5160960],
[[[1, 6], [2, 4], [4, 2], [5, 1], [14, 1]], 1/23040],
[[[1, 6], [2, 4], [4, 2], [5, 2], [6, 1]], 487/4147200],
[[[1, 6], [2, 4], [4, 2], [6, 1], [8, 2]], 1691/11796480],
[[[1, 6], [2, 4], [4, 2], [6, 1], [10, 2]], 41/8294400],
[[[1, 6], [2, 4], [4, 2], [6, 1], [16, 1]], 1/36864],
[[[1, 6], [2, 4], [4, 2], [6, 2], [7, 1]], 5/774144],
[[[1, 6], [2, 4], [4, 2], [6, 2], [14, 1]], 55/9289728],
[[[1, 6], [2, 4], [4, 2], [6, 3], [8, 1]], 5/331776],
[[[1, 6], [2, 4], [4, 2], [6, 3], [10, 1]], 11/3981312],
[[[1, 6], [2, 4], [4, 2], [7, 1], [8, 1]], 7891/20643840],
[[[1, 6], [2, 4], [4, 2], [7, 1], [12, 1]], 1/129024],
[[[1, 6], [2, 4], [4, 2], [8, 1], [14, 1]], 521/4128768],
[[[1, 6], [2, 4], [4, 2], [10, 1], [14, 1]], 41/3870720],
[[[1, 6], [2, 4], [4, 2], [12, 1], [14, 1]], 1/64512],
[[[1, 6], [2, 4], [4, 3], [5, 1], [6, 2]], 7/552960],
[[[1, 6], [2, 4], [4, 3], [5, 1], [8, 1]], 797/884736],
[[[1, 6], [2, 4], [4, 3], [5, 1], [10, 1]], 133/307200],
[[[1, 6], [2, 4], [4, 3], [5, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 4], [4, 3], [6, 1], [7, 1]], 5/64512],
[[[1, 6], [2, 4], [4, 3], [6, 1], [14, 1]], 1/86016],
[[[1, 6], [2, 4], [4, 3], [6, 2], [8, 1]], 16069/318504960],
[[[1, 6], [2, 4], [4, 3], [6, 2], [10, 1]], 7/1105920],
[[[1, 6], [2, 4], [4, 3], [6, 2], [12, 1]], 1/165888],
[[[1, 6], [2, 4], [4, 3], [8, 1], [10, 1]], 33991/265420800],
[[[1, 6], [2, 4], [4, 3], [8, 1], [12, 1]], 13/147456],
[[[1, 6], [2, 4], [4, 3], [10, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 4], [4, 4], [5, 1], [6, 1]], 107/2211840],
[[[1, 6], [2, 4], [4, 4], [6, 1], [8, 1]], 3169/17694720],
[[[1, 6], [2, 4], [4, 4], [6, 1], [10, 1]], 103/7077888],
[[[1, 6], [2, 4], [4, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 4], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 4], [5, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 6], [2, 4], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 6], [2, 4], [5, 1], [7, 1], [8, 1]], 13/215040],
[[[1, 6], [2, 4], [5, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 6], [2, 4], [5, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 4], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 6], [2, 4], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 6], [2, 4], [6, 1], [7, 1], [14, 1]], 121/1290240],
[[[1, 6], [2, 4], [6, 1], [8, 1], [10, 2]], 1/921600],
[[[1, 6], [2, 4], [6, 1], [8, 2], [10, 1]], 1/294912],
[[[1, 6], [2, 4], [6, 2], [8, 1], [14, 1]], 1/1548288],
[[[1, 6], [2, 4], [6, 2], [10, 1], [14, 1]], 1/1935360],
[[[1, 6], [2, 4], [6, 3], [8, 1], [10, 1]], 1/3317760],
[[[1, 6], [2, 4], [8, 1], [10, 1], [14, 1]], 1/430080],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 2]], 59/1228800],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 4]], 545/11943936],
[[[1, 6], [2, 6], [3, 1], [4, 1], [8, 2]], 131/1105920],
[[[1, 6], [2, 6], [3, 1], [4, 1], [10, 2]], 137/2764800],
[[[1, 6], [2, 6], [3, 1], [4, 1], [16, 1]], 301/16588800],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 3]], 13339/47775744],
[[[1, 6], [2, 6], [3, 1], [4, 2], [7, 1]], 15077/185794560],
[[[1, 6], [2, 6], [3, 1], [4, 2], [14, 1]], 151/884736],
[[[1, 6], [2, 6], [3, 1], [4, 3], [5, 1]], 487/2949120],
[[[1, 6], [2, 6], [3, 1], [4, 3], [6, 2]], 9371/10616832],
[[[1, 6], [2, 6], [3, 1], [4, 3], [8, 1]], 1764263/1592524800],
[[[1, 6], [2, 6], [3, 1], [4, 3], [10, 1]], 2377/8847360],
[[[1, 6], [2, 6], [3, 1], [4, 3], [12, 1]], 13/165888],
[[[1, 6], [2, 6], [3, 1], [4, 4], [6, 1]], 7298107/6370099200],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 3]], 1/17280],
[[[1, 6], [2, 6], [3, 1], [5, 1], [7, 1]], 263/15482880],
[[[1, 6], [2, 6], [3, 1], [5, 1], [14, 1]], 1/806400],
[[[1, 6], [2, 6], [3, 1], [5, 2], [6, 1]], 13/259200],
[[[1, 6], [2, 6], [3, 1], [6, 1], [8, 2]], 239/4147200],
[[[1, 6], [2, 6], [3, 1], [6, 1], [10, 2]], 13/259200],
[[[1, 6], [2, 6], [3, 1], [6, 2], [7, 1]], 41/387072],
[[[1, 6], [2, 6], [3, 1], [6, 2], [14, 1]], 233/4644864],
[[[1, 6], [2, 6], [3, 1], [6, 3], [8, 1]], 143/2654208],
[[[1, 6], [2, 6], [3, 1], [6, 3], [10, 1]], 701/9953280],
[[[1, 6], [2, 6], [3, 1], [7, 1], [8, 1]], 1/55296],
[[[1, 6], [2, 6], [3, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 6], [3, 1], [10, 1], [14, 1]], 43/1935360],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 3]], 2809/3981312],
[[[1, 6], [2, 6], [3, 2], [4, 1], [7, 1]], 79/2064384],
[[[1, 6], [2, 6], [3, 2], [4, 1], [14, 1]], 1/32256],
[[[1, 6], [2, 6], [3, 2], [4, 2], [5, 1]], 6437/66355200],
[[[1, 6], [2, 6], [3, 2], [4, 2], [6, 2]], 516863/265420800],
[[[1, 6], [2, 6], [3, 2], [4, 2], [8, 1]], 5963/17694720],
[[[1, 6], [2, 6], [3, 2], [4, 2], [10, 1]], 139/2211840],
[[[1, 6], [2, 6], [3, 2], [4, 2], [12, 1]], 1/110592],
[[[1, 6], [2, 6], [3, 2], [4, 3], [6, 1]], 9371/10616832],
[[[1, 6], [2, 6], [3, 2], [5, 1], [6, 2]], 1009/3317760],
[[[1, 6], [2, 6], [3, 2], [5, 1], [8, 1]], 29/1105920],
[[[1, 6], [2, 6], [3, 2], [5, 1], [10, 1]], 7/138240],
[[[1, 6], [2, 6], [3, 2], [6, 1], [7, 1]], 233/4644864],
[[[1, 6], [2, 6], [3, 2], [6, 1], [14, 1]], 41/387072],
[[[1, 6], [2, 6], [3, 2], [6, 2], [8, 1]], 109/663552],
[[[1, 6], [2, 6], [3, 2], [6, 2], [10, 1]], 1009/3317760],
[[[1, 6], [2, 6], [3, 3], [4, 1], [5, 1]], 259/7962624],
[[[1, 6], [2, 6], [3, 3], [4, 1], [6, 2]], 2809/3981312],
[[[1, 6], [2, 6], [3, 3], [4, 1], [8, 1]], 821/15925248],
[[[1, 6], [2, 6], [3, 3], [4, 2], [6, 1]], 13339/47775744],
[[[1, 6], [2, 6], [3, 3], [5, 1], [6, 1]], 701/9953280],
[[[1, 6], [2, 6], [3, 3], [6, 1], [8, 1]], 143/2654208],
[[[1, 6], [2, 6], [3, 3], [6, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 6], [3, 4], [4, 1], [6, 1]], 545/11943936],
[[[1, 6], [2, 6], [4, 1], [5, 1], [7, 1]], 211/5160960],
[[[1, 6], [2, 6], [4, 1], [5, 1], [14, 1]], 1/26880],
[[[1, 6], [2, 6], [4, 1], [5, 2], [6, 1]], 137/2764800],
[[[1, 6], [2, 6], [4, 1], [6, 1], [8, 2]], 131/1105920],
[[[1, 6], [2, 6], [4, 1], [6, 1], [10, 2]], 59/1228800],
[[[1, 6], [2, 6], [4, 1], [6, 1], [16, 1]], 301/16588800],
[[[1, 6], [2, 6], [4, 1], [6, 2], [7, 1]], 1/32256],
[[[1, 6], [2, 6], [4, 1], [6, 2], [14, 1]], 79/2064384],
[[[1, 6], [2, 6], [4, 1], [6, 3], [8, 1]], 821/15925248],
[[[1, 6], [2, 6], [4, 1], [6, 3], [10, 1]], 259/7962624],
[[[1, 6], [2, 6], [4, 1], [7, 1], [8, 1]], 439/4128768],
[[[1, 6], [2, 6], [4, 1], [7, 1], [10, 1]], 1/26880],
[[[1, 6], [2, 6], [4, 1], [8, 1], [14, 1]], 439/4128768],
[[[1, 6], [2, 6], [4, 1], [10, 1], [14, 1]], 211/5160960],
[[[1, 6], [2, 6], [4, 2], [5, 1], [6, 2]], 139/2211840],
[[[1, 6], [2, 6], [4, 2], [5, 1], [8, 1]], 2987/4423680],
[[[1, 6], [2, 6], [4, 2], [5, 1], [10, 1]], 11621/11059200],
[[[1, 6], [2, 6], [4, 2], [5, 1], [12, 1]], 7/276480],
[[[1, 6], [2, 6], [4, 2], [6, 1], [7, 1]], 151/884736],
[[[1, 6], [2, 6], [4, 2], [6, 1], [14, 1]], 15077/185794560],
[[[1, 6], [2, 6], [4, 2], [6, 2], [8, 1]], 5963/17694720],
[[[1, 6], [2, 6], [4, 2], [6, 2], [10, 1]], 6437/66355200],
[[[1, 6], [2, 6], [4, 2], [6, 2], [12, 1]], 1/110592],
[[[1, 6], [2, 6], [4, 2], [8, 1], [10, 1]], 2987/4423680],
[[[1, 6], [2, 6], [4, 2], [8, 1], [12, 1]], 29/884736],
[[[1, 6], [2, 6], [4, 2], [10, 1], [12, 1]], 7/276480],
[[[1, 6], [2, 6], [4, 3], [5, 1], [6, 1]], 2377/8847360],
[[[1, 6], [2, 6], [4, 3], [6, 1], [8, 1]], 1764263/1592524800],
[[[1, 6], [2, 6], [4, 3], [6, 1], [10, 1]], 487/2949120],
[[[1, 6], [2, 6], [4, 3], [6, 1], [12, 1]], 13/165888],
[[[1, 6], [2, 6], [5, 1], [6, 1], [7, 1]], 43/1935360],
[[[1, 6], [2, 6], [5, 1], [6, 2], [10, 1]], 7/138240],
[[[1, 6], [2, 6], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 6], [6, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 6], [2, 6], [6, 1], [7, 1], [10, 1]], 1/806400],
[[[1, 6], [2, 6], [6, 1], [8, 1], [14, 1]], 1/55296],
[[[1, 6], [2, 6], [6, 1], [10, 1], [14, 1]], 263/15482880],
[[[1, 6], [2, 6], [6, 2], [8, 1], [10, 1]], 29/1105920],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 3]], 40537/119439360],
[[[1, 6], [2, 8], [3, 1], [4, 1], [7, 1]], 127/18579456],
[[[1, 6], [2, 8], [3, 1], [4, 1], [14, 1]], 151/4644864],
[[[1, 6], [2, 8], [3, 1], [4, 2], [5, 1]], 3959/141557760],
[[[1, 6], [2, 8], [3, 1], [4, 2], [6, 2]], 295871/318504960],
[[[1, 6], [2, 8], [3, 1], [4, 2], [8, 1]], 159631/928972800],
[[[1, 6], [2, 8], [3, 1], [4, 2], [10, 1]], 2131/14745600],
[[[1, 6], [2, 8], [3, 1], [4, 2], [12, 1]], 3431/696729600],
[[[1, 6], [2, 8], [3, 1], [4, 3], [6, 1]], 50801/70778880],
[[[1, 6], [2, 8], [3, 1], [5, 1], [6, 2]], 277/5529600],
[[[1, 6], [2, 8], [3, 1], [5, 1], [8, 1]], 1/552960],
[[[1, 6], [2, 8], [3, 1], [5, 1], [10, 1]], 3947/116121600],
[[[1, 6], [2, 8], [3, 1], [6, 1], [7, 1]], 23/1769472],
[[[1, 6], [2, 8], [3, 1], [6, 1], [14, 1]], 2945/74317824],
[[[1, 6], [2, 8], [3, 1], [6, 2], [8, 1]], 697/13271040],
[[[1, 6], [2, 8], [3, 1], [6, 2], [10, 1]], 14461/88473600],
[[[1, 6], [2, 8], [3, 1], [8, 1], [10, 1]], 1/221184],
[[[1, 6], [2, 8], [3, 2], [4, 1], [5, 1]], 23/3317760],
[[[1, 6], [2, 8], [3, 2], [4, 1], [6, 2]], 14809/26542080],
[[[1, 6], [2, 8], [3, 2], [4, 1], [8, 1]], 4397/212336640],
[[[1, 6], [2, 8], [3, 2], [4, 1], [10, 1]], 1/92160],
[[[1, 6], [2, 8], [3, 2], [4, 2], [6, 1]], 1023371/3715891200],
[[[1, 6], [2, 8], [3, 2], [5, 1], [6, 1]], 401/26542080],
[[[1, 6], [2, 8], [3, 2], [6, 1], [8, 1]], 97/6635520],
[[[1, 6], [2, 8], [3, 2], [6, 1], [10, 1]], 523/8294400],
[[[1, 6], [2, 8], [3, 3], [4, 1], [6, 1]], 991/26542080],
[[[1, 6], [2, 8], [4, 1], [5, 1], [6, 2]], 1/73728],
[[[1, 6], [2, 8], [4, 1], [5, 1], [8, 1]], 1483/35389440],
[[[1, 6], [2, 8], [4, 1], [5, 1], [10, 1]], 1909/11059200],
[[[1, 6], [2, 8], [4, 1], [6, 1], [7, 1]], 5/258048],
[[[1, 6], [2, 8], [4, 1], [6, 1], [14, 1]], 2417/30965760],
[[[1, 6], [2, 8], [4, 1], [6, 2], [8, 1]], 59047/424673280],
[[[1, 6], [2, 8], [4, 1], [6, 2], [10, 1]], 3169/16588800],
[[[1, 6], [2, 8], [4, 1], [8, 1], [10, 1]], 39509/353894400],
[[[1, 6], [2, 8], [4, 1], [8, 1], [12, 1]], 617/348364800],
[[[1, 6], [2, 8], [4, 2], [5, 1], [6, 1]], 943/14745600],
[[[1, 6], [2, 8], [4, 2], [6, 1], [8, 1]], 110609/198180864],
[[[1, 6], [2, 8], [4, 2], [6, 1], [10, 1]], 4899611/14863564800],
[[[1, 6], [2, 8], [4, 2], [6, 1], [12, 1]], 19/2211840],
[[[1, 6], [2, 8], [5, 1], [6, 1], [8, 1]], 1/737280],
[[[1, 6], [2, 8], [5, 1], [6, 1], [10, 1]], 449/5529600],
[[[1, 6], [2, 8], [6, 1], [8, 1], [10, 1]], 391/11059200],
[[[1, 6], [2, 10], [3, 1], [4, 1], [5, 1]], 397/707788800],
[[[1, 6], [2, 10], [3, 1], [4, 1], [6, 2]], 379859/2229534720],
[[[1, 6], [2, 10], [3, 1], [4, 1], [8, 1]], 3851/849346560],
[[[1, 6], [2, 10], [3, 1], [4, 1], [10, 1]], 117751/5573836800],
[[[1, 6], [2, 10], [3, 1], [4, 2], [6, 1]], 70768843/535088332800],
[[[1, 6], [2, 10], [3, 1], [5, 1], [6, 1]], 3907/3096576000],
[[[1, 6], [2, 10], [3, 1], [6, 1], [8, 1]], 2783/594542592],
[[[1, 6], [2, 10], [3, 1], [6, 1], [10, 1]], 35423/928972800],
[[[1, 6], [2, 10], [3, 2], [4, 1], [6, 1]], 4997/254803968],
[[[1, 6], [2, 10], [4, 1], [5, 1], [6, 1]], 71/58982400],
[[[1, 6], [2, 10], [4, 1], [6, 1], [8, 1]], 705521/17836277760],
[[[1, 6], [2, 10], [4, 1], [6, 1], [10, 1]], 426799/3185049600],
[[[1, 6], [2, 12], [3, 1], [4, 1], [6, 1]], 2414023/214035333120],
[[[1, 6], [3, 1], [4, 2], [8, 1], [16, 1]], 19/737280],
[[[1, 6], [3, 1], [4, 2], [8, 2], [12, 1]], 1/138240],
[[[1, 6], [3, 2], [4, 2], [5, 1], [7, 1]], 1/53760],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 3]], 1/14400],
[[[1, 7], [2, 1], [3, 1], [4, 1], [7, 2]], 5/150528],
[[[1, 7], [2, 1], [3, 1], [4, 1], [8, 3]], 1/368640],
[[[1, 7], [2, 1], [3, 1], [4, 3], [5, 2]], 1/61440],
[[[1, 7], [2, 1], [3, 1], [4, 3], [8, 2]], 79/5898240],
[[[1, 7], [2, 1], [3, 1], [4, 3], [16, 1]], 1/368640],
[[[1, 7], [2, 1], [3, 1], [4, 4], [7, 1]], 1/1032192],
[[[1, 7], [2, 1], [3, 1], [4, 5], [5, 1]], 1/1179648],
[[[1, 7], [2, 1], [3, 1], [4, 5], [8, 1]], 79/35389440],
[[[1, 7], [2, 1], [3, 1], [5, 2], [7, 1]], 1/6720],
[[[1, 7], [2, 1], [3, 1], [5, 3], [6, 1]], 1/36000],
[[[1, 7], [2, 1], [3, 2], [4, 2], [5, 2]], 23/921600],
[[[1, 7], [2, 1], [3, 2], [4, 3], [7, 1]], 1/57344],
[[[1, 7], [2, 1], [3, 2], [4, 4], [5, 1]], 1/737280],
[[[1, 7], [2, 1], [3, 2], [5, 2], [8, 1]], 91/4608000],
[[[1, 7], [2, 1], [3, 3], [4, 1], [5, 2]], 19/230400],
[[[1, 7], [2, 1], [3, 3], [4, 2], [7, 1]], 1/129024],
[[[1, 7], [2, 1], [3, 3], [4, 3], [5, 1]], 17/1105920],
[[[1, 7], [2, 1], [3, 3], [4, 3], [8, 1]], 1/442368],
[[[1, 7], [2, 1], [3, 3], [4, 4], [6, 1]], 1/1769472],
[[[1, 7], [2, 1], [3, 3], [5, 1], [7, 1]], 1/15120],
[[[1, 7], [2, 1], [3, 3], [5, 2], [6, 1]], 1/21600],
[[[1, 7], [2, 1], [3, 3], [7, 1], [8, 1]], 1/96768],
[[[1, 7], [2, 1], [3, 4], [4, 2], [5, 1]], 1/165888],
[[[1, 7], [2, 1], [3, 4], [4, 2], [8, 1]], 1/1327104],
[[[1, 7], [2, 1], [3, 4], [4, 3], [6, 1]], 1/1990656],
[[[1, 7], [2, 1], [3, 4], [5, 1], [8, 1]], 1/103680],
[[[1, 7], [2, 1], [4, 1], [5, 2], [7, 1]], 1/11200],
[[[1, 7], [2, 1], [4, 1], [5, 3], [6, 1]], 1/216000],
[[[1, 7], [2, 1], [4, 1], [6, 1], [7, 2]], 1/4515840],
[[[1, 7], [2, 1], [4, 1], [14, 1], [16, 1]], 1/9031680],
[[[1, 7], [2, 1], [4, 2], [5, 2], [8, 1]], 1/921600],
[[[1, 7], [2, 1], [4, 2], [8, 1], [16, 1]], 7/983040],
[[[1, 7], [2, 1], [4, 2], [8, 2], [12, 1]], 1/552960],
[[[1, 7], [2, 1], [4, 3], [5, 1], [7, 1]], 1/61440],
[[[1, 7], [2, 1], [4, 3], [5, 2], [6, 1]], 1/1382400],
[[[1, 7], [2, 1], [4, 3], [6, 1], [8, 2]], 1/589824],
[[[1, 7], [2, 1], [4, 3], [7, 1], [8, 1]], 1/6881280],
[[[1, 7], [2, 1], [4, 3], [8, 1], [14, 1]], 107/216760320],
[[[1, 7], [2, 1], [7, 1], [8, 1], [14, 1]], 1/430080],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 2]], 11/28800],
[[[1, 7], [2, 3], [3, 1], [4, 2], [8, 2]], 1673/5898240],
[[[1, 7], [2, 3], [3, 1], [4, 2], [16, 1]], 1/30720],
[[[1, 7], [2, 3], [3, 1], [4, 3], [7, 1]], 283/2211840],
[[[1, 7], [2, 3], [3, 1], [4, 3], [14, 1]], 11/1474560],
[[[1, 7], [2, 3], [3, 1], [4, 4], [5, 1]], 341/5898240],
[[[1, 7], [2, 3], [3, 1], [4, 4], [6, 2]], 31/19906560],
[[[1, 7], [2, 3], [3, 1], [4, 4], [8, 1]], 67/491520],
[[[1, 7], [2, 3], [3, 1], [4, 4], [10, 1]], 17/11059200],
[[[1, 7], [2, 3], [3, 1], [4, 4], [12, 1]], 1/55296],
[[[1, 7], [2, 3], [3, 1], [4, 5], [6, 1]], 2681/212336640],
[[[1, 7], [2, 3], [3, 1], [5, 1], [8, 2]], 1/204800],
[[[1, 7], [2, 3], [3, 1], [5, 1], [10, 2]], 1/72000],
[[[1, 7], [2, 3], [3, 1], [5, 2], [6, 2]], 1/43200],
[[[1, 7], [2, 3], [3, 1], [5, 2], [8, 1]], 1/10240],
[[[1, 7], [2, 3], [3, 1], [6, 2], [8, 2]], 1/1658880],
[[[1, 7], [2, 3], [3, 1], [7, 1], [14, 1]], 11/129024],
[[[1, 7], [2, 3], [3, 1], [8, 2], [10, 1]], 1/460800],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 2]], 22321/55296000],
[[[1, 7], [2, 3], [3, 2], [4, 1], [8, 2]], 13/589824],
[[[1, 7], [2, 3], [3, 2], [4, 1], [16, 1]], 1/442368],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 3]], 11/4976640],
[[[1, 7], [2, 3], [3, 2], [4, 2], [7, 1]], 41/258048],
[[[1, 7], [2, 3], [3, 2], [4, 3], [5, 1]], 1997/11059200],
[[[1, 7], [2, 3], [3, 2], [4, 3], [6, 2]], 617/13271040],
[[[1, 7], [2, 3], [3, 2], [4, 3], [8, 1]], 1709/6635520],
[[[1, 7], [2, 3], [3, 2], [4, 3], [12, 1]], 1/55296],
[[[1, 7], [2, 3], [3, 2], [4, 4], [6, 1]], 2353/53084160],
[[[1, 7], [2, 3], [3, 2], [5, 1], [7, 1]], 13/80640],
[[[1, 7], [2, 3], [3, 2], [5, 2], [6, 1]], 1/3456],
[[[1, 7], [2, 3], [3, 2], [6, 1], [8, 2]], 23/1105920],
[[[1, 7], [2, 3], [3, 2], [6, 2], [7, 1]], 1/48384],
[[[1, 7], [2, 3], [3, 2], [6, 3], [8, 1]], 1/110592],
[[[1, 7], [2, 3], [3, 2], [7, 1], [8, 1]], 1/20480],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 3]], 1/41472],
[[[1, 7], [2, 3], [3, 3], [4, 1], [7, 1]], 25/290304],
[[[1, 7], [2, 3], [3, 3], [4, 2], [5, 1]], 289/1658880],
[[[1, 7], [2, 3], [3, 3], [4, 2], [6, 2]], 1633/14929920],
[[[1, 7], [2, 3], [3, 3], [4, 2], [8, 1]], 125/1327104],
[[[1, 7], [2, 3], [3, 3], [4, 3], [6, 1]], 299/1990656],
[[[1, 7], [2, 3], [3, 3], [5, 1], [6, 2]], 1/11520],
[[[1, 7], [2, 3], [3, 3], [5, 1], [8, 1]], 629/8294400],
[[[1, 7], [2, 3], [3, 3], [6, 1], [7, 1]], 1/13824],
[[[1, 7], [2, 3], [3, 3], [6, 2], [8, 1]], 7/110592],
[[[1, 7], [2, 3], [3, 4], [4, 1], [5, 1]], 5/62208],
[[[1, 7], [2, 3], [3, 4], [4, 1], [6, 2]], 47/373248],
[[[1, 7], [2, 3], [3, 4], [4, 1], [8, 1]], 7/165888],
[[[1, 7], [2, 3], [3, 4], [4, 2], [6, 1]], 7/248832],
[[[1, 7], [2, 3], [3, 4], [5, 1], [6, 1]], 61/622080],
[[[1, 7], [2, 3], [3, 4], [6, 1], [8, 1]], 13/497664],
[[[1, 7], [2, 3], [3, 5], [4, 1], [6, 1]], 1/248832],
[[[1, 7], [2, 3], [4, 1], [5, 1], [8, 2]], 101/7372800],
[[[1, 7], [2, 3], [4, 1], [5, 1], [10, 2]], 1/384000],
[[[1, 7], [2, 3], [4, 1], [5, 1], [16, 1]], 1/368640],
[[[1, 7], [2, 3], [4, 1], [5, 2], [6, 2]], 1/518400],
[[[1, 7], [2, 3], [4, 1], [5, 2], [8, 1]], 1/9216],
[[[1, 7], [2, 3], [4, 1], [5, 2], [10, 1]], 19/230400],
[[[1, 7], [2, 3], [4, 1], [6, 2], [8, 2]], 1/1769472],
[[[1, 7], [2, 3], [4, 1], [6, 2], [10, 2]], 1/33177600],
[[[1, 7], [2, 3], [4, 1], [6, 2], [16, 1]], 29/46448640],
[[[1, 7], [2, 3], [4, 1], [7, 1], [14, 1]], 1/18432],
[[[1, 7], [2, 3], [4, 1], [8, 1], [16, 1]], 9/655360],
[[[1, 7], [2, 3], [4, 1], [8, 2], [10, 1]], 1/491520],
[[[1, 7], [2, 3], [4, 1], [10, 1], [16, 1]], 17/7741440],
[[[1, 7], [2, 3], [4, 2], [5, 1], [7, 1]], 1/3584],
[[[1, 7], [2, 3], [4, 2], [5, 2], [6, 1]], 37/691200],
[[[1, 7], [2, 3], [4, 2], [6, 1], [8, 2]], 3089/123863040],
[[[1, 7], [2, 3], [4, 2], [6, 1], [10, 2]], 1/5529600],
[[[1, 7], [2, 3], [4, 2], [6, 1], [16, 1]], 1/552960],
[[[1, 7], [2, 3], [4, 2], [6, 2], [7, 1]], 1/5806080],
[[[1, 7], [2, 3], [4, 2], [6, 2], [14, 1]], 1/9289728],
[[[1, 7], [2, 3], [4, 2], [6, 3], [8, 1]], 1/1327104],
[[[1, 7], [2, 3], [4, 2], [6, 3], [10, 1]], 1/19906560],
[[[1, 7], [2, 3], [4, 2], [7, 1], [8, 1]], 71/2293760],
[[[1, 7], [2, 3], [4, 2], [8, 1], [14, 1]], 197/20643840],
[[[1, 7], [2, 3], [4, 2], [10, 1], [14, 1]], 1/2580480],
[[[1, 7], [2, 3], [4, 2], [12, 1], [14, 1]], 1/483840],
[[[1, 7], [2, 3], [4, 3], [5, 1], [6, 2]], 1/1658880],
[[[1, 7], [2, 3], [4, 3], [5, 1], [8, 1]], 8419/44236800],
[[[1, 7], [2, 3], [4, 3], [5, 1], [10, 1]], 229/3686400],
[[[1, 7], [2, 3], [4, 3], [5, 1], [12, 1]], 1/46080],
[[[1, 7], [2, 3], [4, 3], [6, 1], [7, 1]], 131/10321920],
[[[1, 7], [2, 3], [4, 3], [6, 1], [14, 1]], 1/774144],
[[[1, 7], [2, 3], [4, 3], [6, 2], [8, 1]], 6469/1114767360],
[[[1, 7], [2, 3], [4, 3], [6, 2], [10, 1]], 1/1658880],
[[[1, 7], [2, 3], [4, 3], [8, 1], [10, 1]], 5713/464486400],
[[[1, 7], [2, 3], [4, 3], [8, 1], [12, 1]], 7/294912],
[[[1, 7], [2, 3], [4, 4], [5, 1], [6, 1]], 1/245760],
[[[1, 7], [2, 3], [4, 4], [6, 1], [8, 1]], 1423/106168320],
[[[1, 7], [2, 3], [4, 4], [6, 1], [10, 1]], 47/66355200],
[[[1, 7], [2, 3], [5, 1], [6, 1], [10, 2]], 1/432000],
[[[1, 7], [2, 3], [5, 1], [7, 1], [8, 1]], 19/645120],
[[[1, 7], [2, 3], [5, 1], [10, 1], [14, 1]], 1/201600],
[[[1, 7], [2, 3], [5, 2], [6, 1], [8, 1]], 1/345600],
[[[1, 7], [2, 3], [6, 1], [7, 1], [14, 1]], 11/645120],
[[[1, 7], [2, 3], [6, 1], [8, 2], [10, 1]], 1/2764800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 2]], 271/1228800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 4]], 197/23887872],
[[[1, 7], [2, 5], [3, 1], [4, 1], [8, 2]], 197/2211840],
[[[1, 7], [2, 5], [3, 1], [4, 1], [10, 2]], 1/368640],
[[[1, 7], [2, 5], [3, 1], [4, 1], [16, 1]], 19/1474560],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 3]], 6593/159252480],
[[[1, 7], [2, 5], [3, 1], [4, 2], [7, 1]], 2887/15482880],
[[[1, 7], [2, 5], [3, 1], [4, 2], [14, 1]], 17/258048],
[[[1, 7], [2, 5], [3, 1], [4, 3], [5, 1]], 64817/176947200],
[[[1, 7], [2, 5], [3, 1], [4, 3], [6, 2]], 13169/53084160],
[[[1, 7], [2, 5], [3, 1], [4, 3], [8, 1]], 85007/70778880],
[[[1, 7], [2, 5], [3, 1], [4, 3], [10, 1]], 3587/44236800],
[[[1, 7], [2, 5], [3, 1], [4, 3], [12, 1]], 227/3317760],
[[[1, 7], [2, 5], [3, 1], [4, 4], [6, 1]], 1226369/2548039680],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 3]], 1/69120],
[[[1, 7], [2, 5], [3, 1], [5, 1], [7, 1]], 529/7741440],
[[[1, 7], [2, 5], [3, 1], [5, 2], [6, 1]], 53/345600],
[[[1, 7], [2, 5], [3, 1], [6, 1], [8, 2]], 1469/53084160],
[[[1, 7], [2, 5], [3, 1], [6, 1], [10, 2]], 1/345600],
[[[1, 7], [2, 5], [3, 1], [6, 2], [7, 1]], 5/165888],
[[[1, 7], [2, 5], [3, 1], [6, 2], [14, 1]], 47/4644864],
[[[1, 7], [2, 5], [3, 1], [6, 3], [8, 1]], 19/1327104],
[[[1, 7], [2, 5], [3, 1], [6, 3], [10, 1]], 89/9953280],
[[[1, 7], [2, 5], [3, 1], [7, 1], [8, 1]], 31/967680],
[[[1, 7], [2, 5], [3, 1], [8, 1], [14, 1]], 1/516096],
[[[1, 7], [2, 5], [3, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 3]], 1529/7962624],
[[[1, 7], [2, 5], [3, 2], [4, 1], [7, 1]], 19/163840],
[[[1, 7], [2, 5], [3, 2], [4, 1], [14, 1]], 5/258048],
[[[1, 7], [2, 5], [3, 2], [4, 2], [5, 1]], 757/2457600],
[[[1, 7], [2, 5], [3, 2], [4, 2], [6, 2]], 9809/10616832],
[[[1, 7], [2, 5], [3, 2], [4, 2], [8, 1]], 947/1769472],
[[[1, 7], [2, 5], [3, 2], [4, 2], [10, 1]], 31/737280],
[[[1, 7], [2, 5], [3, 2], [4, 2], [12, 1]], 5/663552],
[[[1, 7], [2, 5], [3, 2], [4, 3], [6, 1]], 28207/26542080],
[[[1, 7], [2, 5], [3, 2], [5, 1], [6, 2]], 1/3072],
[[[1, 7], [2, 5], [3, 2], [5, 1], [8, 1]], 847/11059200],
[[[1, 7], [2, 5], [3, 2], [5, 1], [10, 1]], 7/92160],
[[[1, 7], [2, 5], [3, 2], [6, 1], [7, 1]], 143/1548288],
[[[1, 7], [2, 5], [3, 2], [6, 1], [14, 1]], 5/86016],
[[[1, 7], [2, 5], [3, 2], [6, 2], [8, 1]], 265/2654208],
[[[1, 7], [2, 5], [3, 2], [6, 2], [10, 1]], 19/276480],
[[[1, 7], [2, 5], [3, 3], [4, 1], [5, 1]], 28453/199065600],
[[[1, 7], [2, 5], [3, 3], [4, 1], [6, 2]], 93143/119439360],
[[[1, 7], [2, 5], [3, 3], [4, 1], [8, 1]], 8741/79626240],
[[[1, 7], [2, 5], [3, 3], [4, 2], [6, 1]], 244961/477757440],
[[[1, 7], [2, 5], [3, 3], [5, 1], [6, 1]], 1867/9953280],
[[[1, 7], [2, 5], [3, 3], [6, 1], [8, 1]], 721/9953280],
[[[1, 7], [2, 5], [3, 3], [6, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 5], [3, 4], [4, 1], [6, 1]], 845/7962624],
[[[1, 7], [2, 5], [4, 1], [5, 1], [7, 1]], 263/2211840],
[[[1, 7], [2, 5], [4, 1], [5, 1], [14, 1]], 1/80640],
[[[1, 7], [2, 5], [4, 1], [5, 2], [6, 1]], 2051/16588800],
[[[1, 7], [2, 5], [4, 1], [6, 1], [8, 2]], 19/655360],
[[[1, 7], [2, 5], [4, 1], [6, 1], [10, 2]], 23/6635520],
[[[1, 7], [2, 5], [4, 1], [6, 1], [16, 1]], 3431/464486400],
[[[1, 7], [2, 5], [4, 1], [6, 2], [7, 1]], 1/193536],
[[[1, 7], [2, 5], [4, 1], [6, 2], [14, 1]], 13/2654208],
[[[1, 7], [2, 5], [4, 1], [6, 3], [8, 1]], 5/589824],
[[[1, 7], [2, 5], [4, 1], [6, 3], [10, 1]], 23/7962624],
[[[1, 7], [2, 5], [4, 1], [7, 1], [8, 1]], 491/7077888],
[[[1, 7], [2, 5], [4, 1], [8, 1], [14, 1]], 43/917504],
[[[1, 7], [2, 5], [4, 1], [10, 1], [14, 1]], 79/15482880],
[[[1, 7], [2, 5], [4, 2], [5, 1], [6, 2]], 23/1105920],
[[[1, 7], [2, 5], [4, 2], [5, 1], [8, 1]], 9511/14745600],
[[[1, 7], [2, 5], [4, 2], [5, 1], [10, 1]], 1867/3686400],
[[[1, 7], [2, 5], [4, 2], [5, 1], [12, 1]], 7/552960],
[[[1, 7], [2, 5], [4, 2], [6, 1], [7, 1]], 1103/11612160],
[[[1, 7], [2, 5], [4, 2], [6, 1], [14, 1]], 335/18579456],
[[[1, 7], [2, 5], [4, 2], [6, 2], [8, 1]], 3587/53084160],
[[[1, 7], [2, 5], [4, 2], [6, 2], [10, 1]], 91/6635520],
[[[1, 7], [2, 5], [4, 2], [6, 2], [12, 1]], 17/4976640],
[[[1, 7], [2, 5], [4, 2], [8, 1], [10, 1]], 6541/44236800],
[[[1, 7], [2, 5], [4, 2], [8, 1], [12, 1]], 257/13271040],
[[[1, 7], [2, 5], [4, 2], [10, 1], [12, 1]], 47/4147200],
[[[1, 7], [2, 5], [4, 3], [5, 1], [6, 1]], 4177/26542080],
[[[1, 7], [2, 5], [4, 3], [6, 1], [8, 1]], 7162259/22295347200],
[[[1, 7], [2, 5], [4, 3], [6, 1], [10, 1]], 3649/106168320],
[[[1, 7], [2, 5], [4, 3], [6, 1], [12, 1]], 1/55296],
[[[1, 7], [2, 5], [5, 1], [6, 1], [7, 1]], 13/322560],
[[[1, 7], [2, 5], [5, 1], [6, 2], [10, 1]], 17/2073600],
[[[1, 7], [2, 5], [5, 1], [8, 1], [10, 1]], 1/24576],
[[[1, 7], [2, 5], [6, 1], [7, 1], [8, 1]], 1/258048],
[[[1, 7], [2, 5], [6, 1], [8, 1], [14, 1]], 1/516096],
[[[1, 7], [2, 5], [6, 1], [10, 1], [14, 1]], 1/860160],
[[[1, 7], [2, 5], [6, 2], [8, 1], [10, 1]], 1/737280],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 3]], 11497/59719680],
[[[1, 7], [2, 7], [3, 1], [4, 1], [7, 1]], 6301/185794560],
[[[1, 7], [2, 7], [3, 1], [4, 1], [14, 1]], 347/7741440],
[[[1, 7], [2, 7], [3, 1], [4, 2], [5, 1]], 24281/176947200],
[[[1, 7], [2, 7], [3, 1], [4, 2], [6, 2]], 146213/176947200],
[[[1, 7], [2, 7], [3, 1], [4, 2], [8, 1]], 576187/1061683200],
[[[1, 7], [2, 7], [3, 1], [4, 2], [10, 1]], 1589/8847360],
[[[1, 7], [2, 7], [3, 1], [4, 2], [12, 1]], 301/24883200],
[[[1, 7], [2, 7], [3, 1], [4, 3], [6, 1]], 1333039/1061683200],
[[[1, 7], [2, 7], [3, 1], [5, 1], [6, 2]], 607/5529600],
[[[1, 7], [2, 7], [3, 1], [5, 1], [8, 1]], 1/61440],
[[[1, 7], [2, 7], [3, 1], [5, 1], [10, 1]], 379/4147200],
[[[1, 7], [2, 7], [3, 1], [6, 1], [7, 1]], 1049/26542080],
[[[1, 7], [2, 7], [3, 1], [6, 1], [14, 1]], 1049/26542080],
[[[1, 7], [2, 7], [3, 1], [6, 2], [8, 1]], 707/13271040],
[[[1, 7], [2, 7], [3, 1], [6, 2], [10, 1]], 1109/14745600],
[[[1, 7], [2, 7], [3, 1], [8, 1], [10, 1]], 13/2211840],
[[[1, 7], [2, 7], [3, 2], [4, 1], [5, 1]], 7447/132710400],
[[[1, 7], [2, 7], [3, 2], [4, 1], [6, 2]], 259679/265420800],
[[[1, 7], [2, 7], [3, 2], [4, 1], [8, 1]], 18589/212336640],
[[[1, 7], [2, 7], [3, 2], [4, 1], [10, 1]], 29/1105920],
[[[1, 7], [2, 7], [3, 2], [4, 2], [6, 1]], 146213/176947200],
[[[1, 7], [2, 7], [3, 2], [5, 1], [6, 1]], 1109/14745600],
[[[1, 7], [2, 7], [3, 2], [6, 1], [8, 1]], 707/13271040],
[[[1, 7], [2, 7], [3, 2], [6, 1], [10, 1]], 607/5529600],
[[[1, 7], [2, 7], [3, 3], [4, 1], [6, 1]], 11497/59719680],
[[[1, 7], [2, 7], [4, 1], [5, 1], [6, 2]], 29/1105920],
[[[1, 7], [2, 7], [4, 1], [5, 1], [8, 1]], 1367/11796480],
[[[1, 7], [2, 7], [4, 1], [5, 1], [10, 1]], 2681/8847360],
[[[1, 7], [2, 7], [4, 1], [6, 1], [7, 1]], 347/7741440],
[[[1, 7], [2, 7], [4, 1], [6, 1], [14, 1]], 6301/185794560],
[[[1, 7], [2, 7], [4, 1], [6, 2], [8, 1]], 18589/212336640],
[[[1, 7], [2, 7], [4, 1], [6, 2], [10, 1]], 7447/132710400],
[[[1, 7], [2, 7], [4, 1], [8, 1], [10, 1]], 1367/11796480],
[[[1, 7], [2, 7], [4, 1], [8, 1], [12, 1]], 23231/7803371520],
[[[1, 7], [2, 7], [4, 2], [5, 1], [6, 1]], 1589/8847360],
[[[1, 7], [2, 7], [4, 2], [6, 1], [8, 1]], 576187/1061683200],
[[[1, 7], [2, 7], [4, 2], [6, 1], [10, 1]], 24281/176947200],
[[[1, 7], [2, 7], [4, 2], [6, 1], [12, 1]], 301/24883200],
[[[1, 7], [2, 7], [5, 1], [6, 1], [8, 1]], 13/2211840],
[[[1, 7], [2, 7], [5, 1], [6, 1], [10, 1]], 379/4147200],
[[[1, 7], [2, 7], [6, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 7], [2, 9], [3, 1], [4, 1], [5, 1]], 33619/4246732800],
[[[1, 7], [2, 9], [3, 1], [4, 1], [6, 2]], 276499/891813888],
[[[1, 7], [2, 9], [3, 1], [4, 1], [8, 1]], 118543/3963617280],
[[[1, 7], [2, 9], [3, 1], [4, 1], [10, 1]], 1121/26542080],
[[[1, 7], [2, 9], [3, 1], [4, 2], [6, 1]], 11937617/29727129600],
[[[1, 7], [2, 9], [3, 1], [5, 1], [6, 1]], 4391/353894400],
[[[1, 7], [2, 9], [3, 1], [6, 1], [8, 1]], 20969/1486356480],
[[[1, 7], [2, 9], [3, 1], [6, 1], [10, 1]], 5891/106168320],
[[[1, 7], [2, 9], [3, 2], [4, 1], [6, 1]], 253103/2477260800],
[[[1, 7], [2, 9], [4, 1], [5, 1], [6, 1]], 713/44236800],
[[[1, 7], [2, 9], [4, 1], [6, 1], [8, 1]], 489091/5945425920],
[[[1, 7], [2, 9], [4, 1], [6, 1], [10, 1]], 528197/4954521600],
[[[1, 7], [2, 11], [3, 1], [4, 1], [6, 1]], 41225581/1070176665600],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 2]], 979/9216000],
[[[1, 8], [2, 2], [3, 1], [4, 2], [8, 2]], 193/11796480],
[[[1, 8], [2, 2], [3, 1], [4, 2], [16, 1]], 1/368640],
[[[1, 8], [2, 2], [3, 1], [4, 3], [7, 1]], 17/860160],
[[[1, 8], [2, 2], [3, 1], [4, 4], [5, 1]], 391/29491200],
[[[1, 8], [2, 2], [3, 1], [4, 4], [8, 1]], 241/17694720],
[[[1, 8], [2, 2], [3, 1], [4, 4], [12, 1]], 1/552960],
[[[1, 8], [2, 2], [3, 1], [4, 5], [6, 1]], 1/4718592],
[[[1, 8], [2, 2], [3, 1], [5, 1], [8, 2]], 19/51609600],
[[[1, 8], [2, 2], [3, 1], [5, 2], [8, 1]], 133/4608000],
[[[1, 8], [2, 2], [3, 1], [7, 1], [14, 1]], 1/184320],
[[[1, 8], [2, 2], [3, 2], [4, 1], [5, 2]], 2441/9216000],
[[[1, 8], [2, 2], [3, 2], [4, 1], [8, 2]], 1/983040],
[[[1, 8], [2, 2], [3, 2], [4, 2], [7, 1]], 199/2580480],
[[[1, 8], [2, 2], [3, 2], [4, 3], [5, 1]], 77/1843200],
[[[1, 8], [2, 2], [3, 2], [4, 3], [6, 2]], 1/3317760],
[[[1, 8], [2, 2], [3, 2], [4, 3], [8, 1]], 17/3932160],
[[[1, 8], [2, 2], [3, 2], [4, 4], [6, 1]], 37/10616832],
[[[1, 8], [2, 2], [3, 2], [5, 1], [7, 1]], 409/3225600],
[[[1, 8], [2, 2], [3, 2], [5, 2], [6, 1]], 263/2304000],
[[[1, 8], [2, 2], [3, 2], [6, 1], [8, 2]], 1/552960],
[[[1, 8], [2, 2], [3, 2], [7, 1], [8, 1]], 13/860160],
[[[1, 8], [2, 2], [3, 3], [4, 1], [7, 1]], 25/387072],
[[[1, 8], [2, 2], [3, 3], [4, 2], [5, 1]], 1717/16588800],
[[[1, 8], [2, 2], [3, 3], [4, 2], [6, 2]], 115/11943936],
[[[1, 8], [2, 2], [3, 3], [4, 2], [8, 1]], 29/1658880],
[[[1, 8], [2, 2], [3, 3], [4, 3], [6, 1]], 449/39813120],
[[[1, 8], [2, 2], [3, 3], [5, 1], [6, 2]], 1/69120],
[[[1, 8], [2, 2], [3, 3], [5, 1], [8, 1]], 533/16588800],
[[[1, 8], [2, 2], [3, 3], [6, 1], [7, 1]], 19/580608],
[[[1, 8], [2, 2], [3, 4], [4, 1], [5, 1]], 61/829440],
[[[1, 8], [2, 2], [3, 4], [4, 1], [6, 2]], 1/248832],
[[[1, 8], [2, 2], [3, 4], [4, 1], [8, 1]], 23/1327104],
[[[1, 8], [2, 2], [3, 4], [4, 2], [6, 1]], 13/995328],
[[[1, 8], [2, 2], [3, 4], [5, 1], [6, 1]], 71/1244160],
[[[1, 8], [2, 2], [3, 4], [6, 1], [8, 1]], 1/165888],
[[[1, 8], [2, 2], [3, 5], [4, 1], [6, 1]], 1/373248],
[[[1, 8], [2, 2], [4, 1], [5, 1], [8, 2]], 1/5734400],
[[[1, 8], [2, 2], [4, 1], [5, 2], [8, 1]], 1/64000],
[[[1, 8], [2, 2], [4, 1], [6, 2], [16, 1]], 1/46448640],
[[[1, 8], [2, 2], [4, 1], [7, 1], [14, 1]], 13/2580480],
[[[1, 8], [2, 2], [4, 1], [8, 1], [16, 1]], 1/737280],
[[[1, 8], [2, 2], [4, 1], [10, 1], [16, 1]], 1/12902400],
[[[1, 8], [2, 2], [4, 2], [5, 1], [7, 1]], 773/12902400],
[[[1, 8], [2, 2], [4, 2], [5, 2], [6, 1]], 1/138240],
[[[1, 8], [2, 2], [4, 2], [6, 1], [8, 2]], 7/11796480],
[[[1, 8], [2, 2], [4, 2], [6, 1], [16, 1]], 1/15482880],
[[[1, 8], [2, 2], [4, 2], [6, 2], [7, 1]], 1/162570240],
[[[1, 8], [2, 2], [4, 2], [7, 1], [8, 1]], 19/20643840],
[[[1, 8], [2, 2], [4, 2], [8, 1], [14, 1]], 43/144506880],
[[[1, 8], [2, 2], [4, 2], [12, 1], [14, 1]], 1/13547520],
[[[1, 8], [2, 2], [4, 3], [5, 1], [8, 1]], 17/9830400],
[[[1, 8], [2, 2], [4, 3], [6, 1], [7, 1]], 1/7741440],
[[[1, 8], [2, 2], [4, 3], [6, 2], [8, 1]], 107/1114767360],
[[[1, 8], [2, 2], [4, 3], [8, 1], [10, 1]], 107/309657600],
[[[1, 8], [2, 2], [4, 3], [8, 1], [12, 1]], 1/442368],
[[[1, 8], [2, 2], [4, 4], [5, 1], [6, 1]], 1/2211840],
[[[1, 8], [2, 2], [4, 4], [6, 1], [8, 1]], 121/106168320],
[[[1, 8], [2, 2], [4, 4], [6, 1], [10, 1]], 107/1857945600],
[[[1, 8], [2, 2], [5, 1], [6, 1], [10, 2]], 1/12096000],
[[[1, 8], [2, 2], [5, 1], [7, 1], [8, 1]], 31/6451200],
[[[1, 8], [2, 2], [5, 1], [10, 1], [14, 1]], 1/5644800],
[[[1, 8], [2, 2], [6, 1], [7, 1], [14, 1]], 1/1290240],
[[[1, 8], [2, 2], [6, 1], [8, 2], [10, 1]], 1/77414400],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 2]], 21223/55296000],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 4]], 1/1990656],
[[[1, 8], [2, 4], [3, 1], [4, 1], [8, 2]], 53/1720320],
[[[1, 8], [2, 4], [3, 1], [4, 1], [16, 1]], 7/2211840],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 3]], 1067/278691840],
[[[1, 8], [2, 4], [3, 1], [4, 2], [7, 1]], 2489/12386304],
[[[1, 8], [2, 4], [3, 1], [4, 2], [14, 1]], 23/3440640],
[[[1, 8], [2, 4], [3, 1], [4, 3], [5, 1]], 8273/29491200],
[[[1, 8], [2, 4], [3, 1], [4, 3], [6, 2]], 53/2949120],
[[[1, 8], [2, 4], [3, 1], [4, 3], [8, 1]], 32329/106168320],
[[[1, 8], [2, 4], [3, 1], [4, 3], [10, 1]], 77/14745600],
[[[1, 8], [2, 4], [3, 1], [4, 3], [12, 1]], 1/46080],
[[[1, 8], [2, 4], [3, 1], [4, 4], [6, 1]], 11599/141557760],
[[[1, 8], [2, 4], [3, 1], [5, 1], [7, 1]], 1723/17203200],
[[[1, 8], [2, 4], [3, 1], [5, 2], [6, 1]], 47/345600],
[[[1, 8], [2, 4], [3, 1], [6, 1], [8, 2]], 361/61931520],
[[[1, 8], [2, 4], [3, 1], [6, 2], [7, 1]], 71/11612160],
[[[1, 8], [2, 4], [3, 1], [6, 2], [14, 1]], 1/1548288],
[[[1, 8], [2, 4], [3, 1], [6, 3], [8, 1]], 1/2654208],
[[[1, 8], [2, 4], [3, 1], [6, 3], [10, 1]], 1/3317760],
[[[1, 8], [2, 4], [3, 1], [7, 1], [8, 1]], 1/46080],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 3]], 161/9953280],
[[[1, 8], [2, 4], [3, 2], [4, 1], [7, 1]], 331/2064384],
[[[1, 8], [2, 4], [3, 2], [4, 2], [5, 1]], 329/737280],
[[[1, 8], [2, 4], [3, 2], [4, 2], [6, 2]], 12533/79626240],
[[[1, 8], [2, 4], [3, 2], [4, 2], [8, 1]], 983/3538944],
[[[1, 8], [2, 4], [3, 2], [4, 2], [12, 1]], 1/663552],
[[[1, 8], [2, 4], [3, 2], [4, 3], [6, 1]], 677/2654208],
[[[1, 8], [2, 4], [3, 2], [5, 1], [6, 2]], 593/5529600],
[[[1, 8], [2, 4], [3, 2], [5, 1], [8, 1]], 43/552960],
[[[1, 8], [2, 4], [3, 2], [5, 1], [10, 1]], 1/30720],
[[[1, 8], [2, 4], [3, 2], [6, 1], [7, 1]], 583/7741440],
[[[1, 8], [2, 4], [3, 2], [6, 1], [14, 1]], 1/184320],
[[[1, 8], [2, 4], [3, 2], [6, 2], [8, 1]], 137/6635520],
[[[1, 8], [2, 4], [3, 2], [6, 2], [10, 1]], 23/5529600],
[[[1, 8], [2, 4], [3, 3], [4, 1], [5, 1]], 52991/199065600],
[[[1, 8], [2, 4], [3, 3], [4, 1], [6, 2]], 3311/14929920],
[[[1, 8], [2, 4], [3, 3], [4, 1], [8, 1]], 7957/79626240],
[[[1, 8], [2, 4], [3, 3], [4, 2], [6, 1]], 19817/59719680],
[[[1, 8], [2, 4], [3, 3], [5, 1], [6, 1]], 10877/49766400],
[[[1, 8], [2, 4], [3, 3], [6, 1], [8, 1]], 1661/39813120],
[[[1, 8], [2, 4], [3, 4], [4, 1], [6, 1]], 881/7464960],
[[[1, 8], [2, 4], [4, 1], [5, 1], [7, 1]], 10261/77414400],
[[[1, 8], [2, 4], [4, 1], [5, 2], [6, 1]], 89/1382400],
[[[1, 8], [2, 4], [4, 1], [6, 1], [8, 2]], 67/30965760],
[[[1, 8], [2, 4], [4, 1], [6, 1], [10, 2]], 1/11059200],
[[[1, 8], [2, 4], [4, 1], [6, 1], [16, 1]], 43/46448640],
[[[1, 8], [2, 4], [4, 1], [6, 2], [7, 1]], 1/2903040],
[[[1, 8], [2, 4], [4, 1], [6, 2], [14, 1]], 1/18579456],
[[[1, 8], [2, 4], [4, 1], [6, 3], [8, 1]], 1/5308416],
[[[1, 8], [2, 4], [4, 1], [6, 3], [10, 1]], 1/39813120],
[[[1, 8], [2, 4], [4, 1], [7, 1], [8, 1]], 1781/86704128],
[[[1, 8], [2, 4], [4, 1], [8, 1], [14, 1]], 23/4128768],
[[[1, 8], [2, 4], [4, 1], [10, 1], [14, 1]], 1/5160960],
[[[1, 8], [2, 4], [4, 2], [5, 1], [6, 2]], 1/614400],
[[[1, 8], [2, 4], [4, 2], [5, 1], [8, 1]], 2021/12902400],
[[[1, 8], [2, 4], [4, 2], [5, 1], [10, 1]], 283/3686400],
[[[1, 8], [2, 4], [4, 2], [5, 1], [12, 1]], 1/552960],
[[[1, 8], [2, 4], [4, 2], [6, 1], [7, 1]], 2873/130056192],
[[[1, 8], [2, 4], [4, 2], [6, 1], [14, 1]], 19/12386304],
[[[1, 8], [2, 4], [4, 2], [6, 2], [8, 1]], 395/74317824],
[[[1, 8], [2, 4], [4, 2], [6, 2], [10, 1]], 7/8847360],
[[[1, 8], [2, 4], [4, 2], [6, 2], [12, 1]], 29/69672960],
[[[1, 8], [2, 4], [4, 2], [8, 1], [10, 1]], 1507/154828800],
[[[1, 8], [2, 4], [4, 2], [8, 1], [12, 1]], 113/23224320],
[[[1, 8], [2, 4], [4, 2], [10, 1], [12, 1]], 17/11612160],
[[[1, 8], [2, 4], [4, 3], [5, 1], [6, 1]], 1441/44236800],
[[[1, 8], [2, 4], [4, 3], [6, 1], [8, 1]], 61771/2229534720],
[[[1, 8], [2, 4], [4, 3], [6, 1], [10, 1]], 227/88473600],
[[[1, 8], [2, 4], [4, 3], [6, 1], [12, 1]], 1/829440],
[[[1, 8], [2, 4], [5, 1], [6, 1], [7, 1]], 19/967680],
[[[1, 8], [2, 4], [5, 1], [6, 2], [10, 1]], 29/29030400],
[[[1, 8], [2, 4], [5, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 4], [6, 1], [7, 1], [8, 1]], 1/1935360],
[[[1, 8], [2, 4], [6, 1], [10, 1], [14, 1]], 1/61931520],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 3]], 991/26542080],
[[[1, 8], [2, 6], [3, 1], [4, 1], [7, 1]], 2417/30965760],
[[[1, 8], [2, 6], [3, 1], [4, 1], [14, 1]], 5/258048],
[[[1, 8], [2, 6], [3, 1], [4, 2], [5, 1]], 4899611/14863564800],
[[[1, 8], [2, 6], [3, 1], [4, 2], [6, 2]], 1023371/3715891200],
[[[1, 8], [2, 6], [3, 1], [4, 2], [8, 1]], 110609/198180864],
[[[1, 8], [2, 6], [3, 1], [4, 2], [10, 1]], 943/14745600],
[[[1, 8], [2, 6], [3, 1], [4, 2], [12, 1]], 19/2211840],
[[[1, 8], [2, 6], [3, 1], [4, 3], [6, 1]], 50801/70778880],
[[[1, 8], [2, 6], [3, 1], [5, 1], [6, 2]], 523/8294400],
[[[1, 8], [2, 6], [3, 1], [5, 1], [8, 1]], 391/11059200],
[[[1, 8], [2, 6], [3, 1], [5, 1], [10, 1]], 449/5529600],
[[[1, 8], [2, 6], [3, 1], [6, 1], [7, 1]], 2945/74317824],
[[[1, 8], [2, 6], [3, 1], [6, 1], [14, 1]], 23/1769472],
[[[1, 8], [2, 6], [3, 1], [6, 2], [8, 1]], 97/6635520],
[[[1, 8], [2, 6], [3, 1], [6, 2], [10, 1]], 401/26542080],
[[[1, 8], [2, 6], [3, 1], [8, 1], [10, 1]], 1/737280],
[[[1, 8], [2, 6], [3, 2], [4, 1], [5, 1]], 3169/16588800],
[[[1, 8], [2, 6], [3, 2], [4, 1], [6, 2]], 14809/26542080],
[[[1, 8], [2, 6], [3, 2], [4, 1], [8, 1]], 59047/424673280],
[[[1, 8], [2, 6], [3, 2], [4, 1], [10, 1]], 1/73728],
[[[1, 8], [2, 6], [3, 2], [4, 2], [6, 1]], 295871/318504960],
[[[1, 8], [2, 6], [3, 2], [5, 1], [6, 1]], 14461/88473600],
[[[1, 8], [2, 6], [3, 2], [6, 1], [8, 1]], 697/13271040],
[[[1, 8], [2, 6], [3, 2], [6, 1], [10, 1]], 277/5529600],
[[[1, 8], [2, 6], [3, 3], [4, 1], [6, 1]], 40537/119439360],
[[[1, 8], [2, 6], [4, 1], [5, 1], [6, 2]], 1/92160],
[[[1, 8], [2, 6], [4, 1], [5, 1], [8, 1]], 39509/353894400],
[[[1, 8], [2, 6], [4, 1], [5, 1], [10, 1]], 1909/11059200],
[[[1, 8], [2, 6], [4, 1], [6, 1], [7, 1]], 151/4644864],
[[[1, 8], [2, 6], [4, 1], [6, 1], [14, 1]], 127/18579456],
[[[1, 8], [2, 6], [4, 1], [6, 2], [8, 1]], 4397/212336640],
[[[1, 8], [2, 6], [4, 1], [6, 2], [10, 1]], 23/3317760],
[[[1, 8], [2, 6], [4, 1], [8, 1], [10, 1]], 1483/35389440],
[[[1, 8], [2, 6], [4, 1], [8, 1], [12, 1]], 617/348364800],
[[[1, 8], [2, 6], [4, 2], [5, 1], [6, 1]], 2131/14745600],
[[[1, 8], [2, 6], [4, 2], [6, 1], [8, 1]], 159631/928972800],
[[[1, 8], [2, 6], [4, 2], [6, 1], [10, 1]], 3959/141557760],
[[[1, 8], [2, 6], [4, 2], [6, 1], [12, 1]], 3431/696729600],
[[[1, 8], [2, 6], [5, 1], [6, 1], [8, 1]], 1/221184],
[[[1, 8], [2, 6], [5, 1], [6, 1], [10, 1]], 3947/116121600],
[[[1, 8], [2, 6], [6, 1], [8, 1], [10, 1]], 1/552960],
[[[1, 8], [2, 8], [3, 1], [4, 1], [5, 1]], 22087/530841600],
[[[1, 8], [2, 8], [3, 1], [4, 1], [6, 2]], 145373/530841600],
[[[1, 8], [2, 8], [3, 1], [4, 1], [8, 1]], 12065/148635648],
[[[1, 8], [2, 8], [3, 1], [4, 1], [10, 1]], 953/22118400],
[[[1, 8], [2, 8], [3, 1], [4, 2], [6, 1]], 42429487/69363302400],
[[[1, 8], [2, 8], [3, 1], [5, 1], [6, 1]], 2837/66355200],
[[[1, 8], [2, 8], [3, 1], [6, 1], [8, 1]], 281/13271040],
[[[1, 8], [2, 8], [3, 1], [6, 1], [10, 1]], 2837/66355200],
[[[1, 8], [2, 8], [3, 2], [4, 1], [6, 1]], 145373/530841600],
[[[1, 8], [2, 8], [4, 1], [5, 1], [6, 1]], 953/22118400],
[[[1, 8], [2, 8], [4, 1], [6, 1], [8, 1]], 12065/148635648],
[[[1, 8], [2, 8], [4, 1], [6, 1], [10, 1]], 22087/530841600],
[[[1, 8], [2, 10], [3, 1], [4, 1], [6, 1]], 31767893/356725555200],
[[[1, 8], [3, 1], [4, 2], [5, 1], [7, 1]], 19/4300800],
[[[1, 9], [2, 1], [3, 1], [4, 2], [5, 2]], 133/18432000],
[[[1, 9], [2, 1], [3, 1], [4, 3], [7, 1]], 1/491520],
[[[1, 9], [2, 1], [3, 1], [4, 4], [5, 1]], 1/3276800],
[[[1, 9], [2, 1], [3, 1], [5, 2], [8, 1]], 29/10752000],
[[[1, 9], [2, 1], [3, 2], [4, 1], [5, 2]], 823/18432000],
[[[1, 9], [2, 1], [3, 2], [4, 2], [7, 1]], 13/3440640],
[[[1, 9], [2, 1], [3, 2], [4, 3], [5, 1]], 49/7372800],
[[[1, 9], [2, 1], [3, 2], [4, 3], [8, 1]], 1/3932160],
[[[1, 9], [2, 1], [3, 2], [4, 4], [6, 1]], 1/17694720],
[[[1, 9], [2, 1], [3, 2], [5, 1], [7, 1]], 11/268800],
[[[1, 9], [2, 1], [3, 2], [5, 2], [6, 1]], 49/3456000],
[[[1, 9], [2, 1], [3, 2], [7, 1], [8, 1]], 1/860160],
[[[1, 9], [2, 1], [3, 3], [4, 1], [7, 1]], 1/55296],
[[[1, 9], [2, 1], [3, 3], [4, 2], [5, 1]], 533/66355200],
[[[1, 9], [2, 1], [3, 3], [4, 2], [8, 1]], 1/6635520],
[[[1, 9], [2, 1], [3, 3], [4, 3], [6, 1]], 1/9953280],
[[[1, 9], [2, 1], [3, 3], [5, 1], [8, 1]], 13/3317760],
[[[1, 9], [2, 1], [3, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 9], [2, 1], [3, 4], [4, 1], [5, 1]], 1/41472],
[[[1, 9], [2, 1], [3, 4], [4, 1], [8, 1]], 1/663552],
[[[1, 9], [2, 1], [3, 4], [4, 2], [6, 1]], 1/663552],
[[[1, 9], [2, 1], [3, 4], [5, 1], [6, 1]], 1/82944],
[[[1, 9], [2, 1], [3, 5], [4, 1], [6, 1]], 1/1492992],
[[[1, 9], [2, 1], [4, 1], [5, 2], [8, 1]], 1/4032000],
[[[1, 9], [2, 1], [4, 1], [7, 1], [14, 1]], 1/5160960],
[[[1, 9], [2, 1], [4, 1], [8, 1], [16, 1]], 1/23592960],
[[[1, 9], [2, 1], [4, 2], [5, 1], [7, 1]], 31/25804800],
[[[1, 9], [2, 1], [4, 2], [7, 1], [8, 1]], 1/144506880],
[[[1, 9], [2, 1], [4, 3], [5, 1], [8, 1]], 1/22937600],
[[[1, 9], [2, 1], [4, 3], [6, 1], [7, 1]], 1/216760320],
[[[1, 9], [2, 1], [4, 3], [8, 1], [12, 1]], 1/12386304],
[[[1, 9], [2, 1], [5, 1], [7, 1], [8, 1]], 1/5017600],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 2]], 31907/129024000],
[[[1, 9], [2, 3], [3, 1], [4, 1], [8, 2]], 19/13762560],
[[[1, 9], [2, 3], [3, 1], [4, 1], [16, 1]], 1/4423680],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 3]], 41/557383680],
[[[1, 9], [2, 3], [3, 1], [4, 2], [7, 1]], 859/10321920],
[[[1, 9], [2, 3], [3, 1], [4, 3], [5, 1]], 92671/1238630400],
[[[1, 9], [2, 3], [3, 1], [4, 3], [6, 2]], 337/371589120],
[[[1, 9], [2, 3], [3, 1], [4, 3], [8, 1]], 42283/1486356480],
[[[1, 9], [2, 3], [3, 1], [4, 3], [12, 1]], 1/552960],
[[[1, 9], [2, 3], [3, 1], [4, 4], [6, 1]], 6127/1486356480],
[[[1, 9], [2, 3], [3, 1], [5, 1], [7, 1]], 841/12902400],
[[[1, 9], [2, 3], [3, 1], [5, 2], [6, 1]], 1/21600],
[[[1, 9], [2, 3], [3, 1], [6, 1], [8, 2]], 59/123863040],
[[[1, 9], [2, 3], [3, 1], [6, 2], [7, 1]], 1/3870720],
[[[1, 9], [2, 3], [3, 1], [7, 1], [8, 1]], 37/6021120],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 3]], 13/13271040],
[[[1, 9], [2, 3], [3, 2], [4, 1], [7, 1]], 359/3440640],
[[[1, 9], [2, 3], [3, 2], [4, 2], [5, 1]], 337/1382400],
[[[1, 9], [2, 3], [3, 2], [4, 2], [6, 2]], 8003/1114767360],
[[[1, 9], [2, 3], [3, 2], [4, 2], [8, 1]], 121/3538944],
[[[1, 9], [2, 3], [3, 2], [4, 3], [6, 1]], 1669/53084160],
[[[1, 9], [2, 3], [3, 2], [5, 1], [6, 2]], 1/92160],
[[[1, 9], [2, 3], [3, 2], [5, 1], [8, 1]], 2567/77414400],
[[[1, 9], [2, 3], [3, 2], [6, 1], [7, 1]], 211/7741440],
[[[1, 9], [2, 3], [3, 2], [6, 2], [8, 1]], 1/884736],
[[[1, 9], [2, 3], [3, 3], [4, 1], [5, 1]], 44597/199065600],
[[[1, 9], [2, 3], [3, 3], [4, 1], [6, 2]], 3461/119439360],
[[[1, 9], [2, 3], [3, 3], [4, 1], [8, 1]], 1019/26542080],
[[[1, 9], [2, 3], [3, 3], [4, 2], [6, 1]], 10259/159252480],
[[[1, 9], [2, 3], [3, 3], [5, 1], [6, 1]], 1187/9953280],
[[[1, 9], [2, 3], [3, 3], [6, 1], [8, 1]], 197/19906560],
[[[1, 9], [2, 3], [3, 4], [4, 1], [6, 1]], 2473/39813120],
[[[1, 9], [2, 3], [4, 1], [5, 1], [7, 1]], 3263/60211200],
[[[1, 9], [2, 3], [4, 1], [5, 2], [6, 1]], 907/82944000],
[[[1, 9], [2, 3], [4, 1], [6, 1], [8, 2]], 1/61931520],
[[[1, 9], [2, 3], [4, 1], [6, 1], [16, 1]], 1/30965760],
[[[1, 9], [2, 3], [4, 1], [6, 2], [7, 1]], 1/81285120],
[[[1, 9], [2, 3], [4, 1], [7, 1], [8, 1]], 93/32112640],
[[[1, 9], [2, 3], [4, 1], [8, 1], [14, 1]], 13/77070336],
[[[1, 9], [2, 3], [4, 2], [5, 1], [6, 2]], 31/696729600],
[[[1, 9], [2, 3], [4, 2], [5, 1], [8, 1]], 1207/103219200],
[[[1, 9], [2, 3], [4, 2], [5, 1], [10, 1]], 17/3686400],
[[[1, 9], [2, 3], [4, 2], [6, 1], [7, 1]], 11/6773760],
[[[1, 9], [2, 3], [4, 2], [6, 2], [8, 1]], 43/743178240],
[[[1, 9], [2, 3], [4, 2], [6, 2], [12, 1]], 1/69672960],
[[[1, 9], [2, 3], [4, 2], [8, 1], [10, 1]], 43/206438400],
[[[1, 9], [2, 3], [4, 2], [8, 1], [12, 1]], 1/2064384],
[[[1, 9], [2, 3], [4, 2], [10, 1], [12, 1]], 1/19353600],
[[[1, 9], [2, 3], [4, 3], [5, 1], [6, 1]], 1087/309657600],
[[[1, 9], [2, 3], [4, 3], [6, 1], [8, 1]], 2377/1486356480],
[[[1, 9], [2, 3], [4, 3], [6, 1], [10, 1]], 121/1238630400],
[[[1, 9], [2, 3], [4, 3], [6, 1], [12, 1]], 1/23224320],
[[[1, 9], [2, 3], [5, 1], [6, 1], [7, 1]], 31/9676800],
[[[1, 9], [2, 3], [5, 1], [6, 2], [10, 1]], 1/29030400],
[[[1, 9], [2, 3], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 9], [2, 3], [6, 1], [7, 1], [8, 1]], 1/54190080],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 3]], 979/278691840],
[[[1, 9], [2, 5], [3, 1], [4, 1], [7, 1]], 25187/289013760],
[[[1, 9], [2, 5], [3, 1], [4, 1], [14, 1]], 71/41287680],
[[[1, 9], [2, 5], [3, 1], [4, 2], [5, 1]], 16391/45875200],
[[[1, 9], [2, 5], [3, 1], [4, 2], [6, 2]], 5231/148635648],
[[[1, 9], [2, 5], [3, 1], [4, 2], [8, 1]], 33953/165150720],
[[[1, 9], [2, 5], [3, 1], [4, 2], [10, 1]], 23/4915200],
[[[1, 9], [2, 5], [3, 1], [4, 2], [12, 1]], 7/3317760],
[[[1, 9], [2, 5], [3, 1], [4, 3], [6, 1]], 32321/185794560],
[[[1, 9], [2, 5], [3, 1], [5, 1], [6, 2]], 257/16588800],
[[[1, 9], [2, 5], [3, 1], [5, 1], [8, 1]], 6281/206438400],
[[[1, 9], [2, 5], [3, 1], [5, 1], [10, 1]], 23/921600],
[[[1, 9], [2, 5], [3, 1], [6, 1], [7, 1]], 563/24772608],
[[[1, 9], [2, 5], [3, 1], [6, 1], [14, 1]], 127/82575360],
[[[1, 9], [2, 5], [3, 1], [6, 2], [8, 1]], 67/46448640],
[[[1, 9], [2, 5], [3, 1], [6, 2], [10, 1]], 23/19660800],
[[[1, 9], [2, 5], [3, 2], [4, 1], [5, 1]], 557917/1857945600],
[[[1, 9], [2, 5], [3, 2], [4, 1], [6, 2]], 71731/557383680],
[[[1, 9], [2, 5], [3, 2], [4, 1], [8, 1]], 281249/2972712960],
[[[1, 9], [2, 5], [3, 2], [4, 2], [6, 1]], 852127/2229534720],
[[[1, 9], [2, 5], [3, 2], [5, 1], [6, 1]], 39359/265420800],
[[[1, 9], [2, 5], [3, 2], [6, 1], [8, 1]], 71/2903040],
[[[1, 9], [2, 5], [3, 2], [6, 1], [10, 1]], 7/1843200],
[[[1, 9], [2, 5], [3, 3], [4, 1], [6, 1]], 31291/119439360],
[[[1, 9], [2, 5], [4, 1], [5, 1], [6, 2]], 1/691200],
[[[1, 9], [2, 5], [4, 1], [5, 1], [8, 1]], 309439/7431782400],
[[[1, 9], [2, 5], [4, 1], [5, 1], [10, 1]], 1823/51609600],
[[[1, 9], [2, 5], [4, 1], [6, 1], [7, 1]], 17233/1300561920],
[[[1, 9], [2, 5], [4, 1], [6, 1], [14, 1]], 1/2359296],
[[[1, 9], [2, 5], [4, 1], [6, 2], [8, 1]], 9187/5945425920],
[[[1, 9], [2, 5], [4, 1], [6, 2], [10, 1]], 5/21233664],
[[[1, 9], [2, 5], [4, 1], [8, 1], [10, 1]], 7093/1651507200],
[[[1, 9], [2, 5], [4, 1], [8, 1], [12, 1]], 1/2293760],
[[[1, 9], [2, 5], [4, 2], [5, 1], [6, 1]], 131071/2786918400],
[[[1, 9], [2, 5], [4, 2], [6, 1], [8, 1]], 5407/247726080],
[[[1, 9], [2, 5], [4, 2], [6, 1], [10, 1]], 131/58982400],
[[[1, 9], [2, 5], [4, 2], [6, 1], [12, 1]], 43/69672960],
[[[1, 9], [2, 5], [5, 1], [6, 1], [8, 1]], 7/5529600],
[[[1, 9], [2, 5], [5, 1], [6, 1], [10, 1]], 317/58060800],
[[[1, 9], [2, 5], [6, 1], [8, 1], [10, 1]], 1/35389440],
[[[1, 9], [2, 7], [3, 1], [4, 1], [5, 1]], 528197/4954521600],
[[[1, 9], [2, 7], [3, 1], [4, 1], [6, 2]], 253103/2477260800],
[[[1, 9], [2, 7], [3, 1], [4, 1], [8, 1]], 489091/5945425920],
[[[1, 9], [2, 7], [3, 1], [4, 1], [10, 1]], 713/44236800],
[[[1, 9], [2, 7], [3, 1], [4, 2], [6, 1]], 11937617/29727129600],
[[[1, 9], [2, 7], [3, 1], [5, 1], [6, 1]], 5891/106168320],
[[[1, 9], [2, 7], [3, 1], [6, 1], [8, 1]], 20969/1486356480],
[[[1, 9], [2, 7], [3, 1], [6, 1], [10, 1]], 4391/353894400],
[[[1, 9], [2, 7], [3, 2], [4, 1], [6, 1]], 276499/891813888],
[[[1, 9], [2, 7], [4, 1], [5, 1], [6, 1]], 1121/26542080],
[[[1, 9], [2, 7], [4, 1], [6, 1], [8, 1]], 118543/3963617280],
[[[1, 9], [2, 7], [4, 1], [6, 1], [10, 1]], 33619/4246732800],
[[[1, 9], [2, 9], [3, 1], [4, 1], [6, 1]], 5129699/41617981440],
[[[1, 10], [2, 2], [3, 1], [4, 1], [5, 2]], 1621/25804800],
[[[1, 10], [2, 2], [3, 1], [4, 1], [8, 2]], 1/51609600],
[[[1, 10], [2, 2], [3, 1], [4, 2], [7, 1]], 1349/144506880],
[[[1, 10], [2, 2], [3, 1], [4, 3], [5, 1]], 409/51609600],
[[[1, 10], [2, 2], [3, 1], [4, 3], [6, 2]], 1/371589120],
[[[1, 10], [2, 2], [3, 1], [4, 3], [8, 1]], 17/82575360],
[[[1, 10], [2, 2], [3, 1], [4, 4], [6, 1]], 803/5945425920],
[[[1, 10], [2, 2], [3, 1], [5, 1], [7, 1]], 3491/180633600],
[[[1, 10], [2, 2], [3, 1], [5, 2], [6, 1]], 71/12096000],
[[[1, 10], [2, 2], [3, 1], [6, 1], [8, 2]], 1/61931520],
[[[1, 10], [2, 2], [3, 1], [7, 1], [8, 1]], 1/1505280],
[[[1, 10], [2, 2], [3, 2], [4, 1], [7, 1]], 33/1146880],
[[[1, 10], [2, 2], [3, 2], [4, 2], [5, 1]], 6103/154828800],
[[[1, 10], [2, 2], [3, 2], [4, 2], [6, 2]], 2113/11147673600],
[[[1, 10], [2, 2], [3, 2], [4, 2], [8, 1]], 53/24772608],
[[[1, 10], [2, 2], [3, 2], [4, 3], [6, 1]], 61/46448640],
[[[1, 10], [2, 2], [3, 2], [5, 1], [6, 2]], 1/5529600],
[[[1, 10], [2, 2], [3, 2], [5, 1], [8, 1]], 227/38707200],
[[[1, 10], [2, 2], [3, 2], [6, 1], [7, 1]], 29/7741440],
[[[1, 10], [2, 2], [3, 3], [4, 1], [5, 1]], 5299/66355200],
[[[1, 10], [2, 2], [3, 3], [4, 1], [6, 2]], 1/2211840],
[[[1, 10], [2, 2], [3, 3], [4, 1], [8, 1]], 137/26542080],
[[[1, 10], [2, 2], [3, 3], [4, 2], [6, 1]], 313/79626240],
[[[1, 10], [2, 2], [3, 3], [5, 1], [6, 1]], 287/9953280],
[[[1, 10], [2, 2], [3, 3], [6, 1], [8, 1]], 1/1474560],
[[[1, 10], [2, 2], [3, 4], [4, 1], [6, 1]], 149/11943936],
[[[1, 10], [2, 2], [4, 1], [5, 1], [7, 1]], 163/20070400],
[[[1, 10], [2, 2], [4, 1], [5, 2], [6, 1]], 17/32256000],
[[[1, 10], [2, 2], [4, 1], [7, 1], [8, 1]], 19/144506880],
[[[1, 10], [2, 2], [4, 2], [5, 1], [6, 2]], 1/696729600],
[[[1, 10], [2, 2], [4, 2], [5, 1], [8, 1]], 13/38707200],
[[[1, 10], [2, 2], [4, 2], [5, 1], [10, 1]], 1/5734400],
[[[1, 10], [2, 2], [4, 2], [6, 1], [7, 1]], 13/216760320],
[[[1, 10], [2, 2], [4, 2], [8, 1], [12, 1]], 1/61931520],
[[[1, 10], [2, 2], [4, 3], [5, 1], [6, 1]], 31/928972800],
[[[1, 10], [2, 2], [5, 1], [6, 1], [7, 1]], 1/7526400],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 3]], 59/1114767360],
[[[1, 10], [2, 4], [3, 1], [4, 1], [7, 1]], 3467/72253440],
[[[1, 10], [2, 4], [3, 1], [4, 2], [5, 1]], 9631/51609600],
[[[1, 10], [2, 4], [3, 1], [4, 2], [6, 2]], 15551/6688604160],
[[[1, 10], [2, 4], [3, 1], [4, 2], [8, 1]], 46171/1651507200],
[[[1, 10], [2, 4], [3, 1], [4, 2], [12, 1]], 1/6635520],
[[[1, 10], [2, 4], [3, 1], [4, 3], [6, 1]], 28081/1486356480],
[[[1, 10], [2, 4], [3, 1], [5, 1], [6, 2]], 7/3317760],
[[[1, 10], [2, 4], [3, 1], [5, 1], [8, 1]], 1423/116121600],
[[[1, 10], [2, 4], [3, 1], [5, 1], [10, 1]], 1/614400],
[[[1, 10], [2, 4], [3, 1], [6, 1], [7, 1]], 2987/433520640],
[[[1, 10], [2, 4], [3, 1], [6, 1], [14, 1]], 11/192675840],
[[[1, 10], [2, 4], [3, 1], [6, 2], [8, 1]], 1/92897280],
[[[1, 10], [2, 4], [3, 1], [6, 2], [10, 1]], 11/412876800],
[[[1, 10], [2, 4], [3, 2], [4, 1], [5, 1]], 26531/116121600],
[[[1, 10], [2, 4], [3, 2], [4, 1], [6, 2]], 7127/557383680],
[[[1, 10], [2, 4], [3, 2], [4, 1], [8, 1]], 222127/7431782400],
[[[1, 10], [2, 4], [3, 2], [4, 2], [6, 1]], 953287/11147673600],
[[[1, 10], [2, 4], [3, 2], [5, 1], [6, 1]], 66331/928972800],
[[[1, 10], [2, 4], [3, 2], [6, 1], [8, 1]], 13/2903040],
[[[1, 10], [2, 4], [3, 3], [4, 1], [6, 1]], 169339/1672151040],
[[[1, 10], [2, 4], [4, 1], [5, 1], [6, 2]], 31/348364800],
[[[1, 10], [2, 4], [4, 1], [5, 1], [8, 1]], 33899/3715891200],
[[[1, 10], [2, 4], [4, 1], [5, 1], [10, 1]], 53/15482880],
[[[1, 10], [2, 4], [4, 1], [6, 1], [7, 1]], 163/81285120],
[[[1, 10], [2, 4], [4, 1], [6, 2], [8, 1]], 13/396361728],
[[[1, 10], [2, 4], [4, 1], [8, 1], [10, 1]], 13/110100480],
[[[1, 10], [2, 4], [4, 1], [8, 1], [12, 1]], 1/23224320],
[[[1, 10], [2, 4], [4, 2], [5, 1], [6, 1]], 21097/2786918400],
[[[1, 10], [2, 4], [4, 2], [6, 1], [8, 1]], 5693/5945425920],
[[[1, 10], [2, 4], [4, 2], [6, 1], [10, 1]], 73/1415577600],
[[[1, 10], [2, 4], [4, 2], [6, 1], [12, 1]], 1/46448640],
[[[1, 10], [2, 4], [5, 1], [6, 1], [8, 1]], 31/232243200],
[[[1, 10], [2, 4], [5, 1], [6, 1], [10, 1]], 1/4300800],
[[[1, 10], [2, 6], [3, 1], [4, 1], [5, 1]], 426799/3185049600],
[[[1, 10], [2, 6], [3, 1], [4, 1], [6, 2]], 4997/254803968],
[[[1, 10], [2, 6], [3, 1], [4, 1], [8, 1]], 705521/17836277760],
[[[1, 10], [2, 6], [3, 1], [4, 1], [10, 1]], 71/58982400],
[[[1, 10], [2, 6], [3, 1], [4, 2], [6, 1]], 70768843/535088332800],
[[[1, 10], [2, 6], [3, 1], [5, 1], [6, 1]], 35423/928972800],
[[[1, 10], [2, 6], [3, 1], [6, 1], [8, 1]], 2783/594542592],
[[[1, 10], [2, 6], [3, 1], [6, 1], [10, 1]], 3907/3096576000],
[[[1, 10], [2, 6], [3, 2], [4, 1], [6, 1]], 379859/2229534720],
[[[1, 10], [2, 6], [4, 1], [5, 1], [6, 1]], 117751/5573836800],
[[[1, 10], [2, 6], [4, 1], [6, 1], [8, 1]], 3851/849346560],
[[[1, 10], [2, 6], [4, 1], [6, 1], [10, 1]], 397/707788800],
[[[1, 10], [2, 8], [3, 1], [4, 1], [6, 1]], 31767893/356725555200],
[[[1, 11], [2, 1], [3, 1], [4, 1], [5, 2]], 137/25804800],
[[[1, 11], [2, 1], [3, 1], [4, 2], [7, 1]], 1/6021120],
[[[1, 11], [2, 1], [3, 1], [4, 3], [5, 1]], 1/1720320],
[[[1, 11], [2, 1], [3, 1], [4, 3], [8, 1]], 1/206438400],
[[[1, 11], [2, 1], [3, 1], [4, 4], [6, 1]], 1/1981808640],
[[[1, 11], [2, 1], [3, 1], [5, 1], [7, 1]], 43/18063360],
[[[1, 11], [2, 1], [3, 1], [5, 2], [6, 1]], 1/6048000],
[[[1, 11], [2, 1], [3, 1], [7, 1], [8, 1]], 1/45158400],
[[[1, 11], [2, 1], [3, 2], [4, 1], [7, 1]], 23/10321920],
[[[1, 11], [2, 1], [3, 2], [4, 2], [5, 1]], 227/154828800],
[[[1, 11], [2, 1], [3, 2], [4, 2], [8, 1]], 11/1238630400],
[[[1, 11], [2, 1], [3, 2], [4, 3], [6, 1]], 11/1857945600],
[[[1, 11], [2, 1], [3, 2], [5, 1], [8, 1]], 131/387072000],
[[[1, 11], [2, 1], [3, 2], [6, 1], [7, 1]], 1/7741440],
[[[1, 11], [2, 1], [3, 3], [4, 1], [5, 1]], 581/66355200],
[[[1, 11], [2, 1], [3, 3], [4, 1], [8, 1]], 1/5308416],
[[[1, 11], [2, 1], [3, 3], [4, 2], [6, 1]], 1/5898240],
[[[1, 11], [2, 1], [3, 3], [5, 1], [6, 1]], 13/5529600],
[[[1, 11], [2, 1], [3, 4], [4, 1], [6, 1]], 17/119439360],
[[[1, 11], [2, 1], [4, 1], [5, 1], [7, 1]], 59/180633600],
[[[1, 11], [2, 1], [4, 1], [5, 2], [6, 1]], 11/580608000],
[[[1, 11], [2, 1], [4, 1], [7, 1], [8, 1]], 1/825753600],
[[[1, 11], [2, 1], [4, 2], [5, 1], [8, 1]], 1/619315200],
[[[1, 11], [2, 1], [4, 3], [5, 1], [6, 1]], 1/928972800],
[[[1, 11], [2, 3], [3, 1], [4, 1], [7, 1]], 3847/309657600],
[[[1, 11], [2, 3], [3, 1], [4, 2], [5, 1]], 150947/3715891200],
[[[1, 11], [2, 3], [3, 1], [4, 2], [6, 2]], 661/16721510400],
[[[1, 11], [2, 3], [3, 1], [4, 2], [8, 1]], 12673/7431782400],
[[[1, 11], [2, 3], [3, 1], [4, 3], [6, 1]], 42169/44590694400],
[[[1, 11], [2, 3], [3, 1], [5, 1], [6, 2]], 1/12902400],
[[[1, 11], [2, 3], [3, 1], [5, 1], [8, 1]], 221/92897280],
[[[1, 11], [2, 3], [3, 1], [6, 1], [7, 1]], 79/86704128],
[[[1, 11], [2, 3], [3, 2], [4, 1], [5, 1]], 388841/4644864000],
[[[1, 11], [2, 3], [3, 2], [4, 1], [6, 2]], 6257/11147673600],
[[[1, 11], [2, 3], [3, 2], [4, 1], [8, 1]], 343/70778880],
[[[1, 11], [2, 3], [3, 2], [4, 2], [6, 1]], 28409/3715891200],
[[[1, 11], [2, 3], [3, 2], [5, 1], [6, 1]], 3079/185794560],
[[[1, 11], [2, 3], [3, 2], [6, 1], [8, 1]], 197/464486400],
[[[1, 11], [2, 3], [3, 3], [4, 1], [6, 1]], 3757/174182400],
[[[1, 11], [2, 3], [4, 1], [5, 1], [6, 2]], 1/348364800],
[[[1, 11], [2, 3], [4, 1], [5, 1], [8, 1]], 251/247726080],
[[[1, 11], [2, 3], [4, 1], [5, 1], [10, 1]], 73/619315200],
[[[1, 11], [2, 3], [4, 1], [6, 1], [7, 1]], 13/108380160],
[[[1, 11], [2, 3], [4, 1], [8, 1], [12, 1]], 1/743178240],
[[[1, 11], [2, 3], [4, 2], [5, 1], [6, 1]], 17/34406400],
[[[1, 11], [2, 3], [4, 2], [6, 1], [8, 1]], 17/3715891200],
[[[1, 11], [2, 3], [5, 1], [6, 1], [8, 1]], 1/232243200],
[[[1, 11], [2, 5], [3, 1], [4, 1], [5, 1]], 4018139/44590694400],
[[[1, 11], [2, 5], [3, 1], [4, 1], [6, 2]], 49639/26754416640],
[[[1, 11], [2, 5], [3, 1], [4, 1], [8, 1]], 5147/509607936],
[[[1, 11], [2, 5], [3, 1], [4, 2], [6, 1]], 3975823/152882380800],
[[[1, 11], [2, 5], [3, 1], [5, 1], [6, 1]], 172189/11147673600],
[[[1, 11], [2, 5], [3, 1], [6, 1], [8, 1]], 4873/6370099200],
[[[1, 11], [2, 5], [3, 1], [6, 1], [10, 1]], 11/275251200],
[[[1, 11], [2, 5], [3, 2], [4, 1], [6, 1]], 536249/9555148800],
[[[1, 11], [2, 5], [4, 1], [5, 1], [6, 1]], 15299/2786918400],
[[[1, 11], [2, 5], [4, 1], [6, 1], [8, 1]], 2923/11890851840],
[[[1, 11], [2, 5], [4, 1], [6, 1], [10, 1]], 101/9909043200],
[[[1, 11], [2, 7], [3, 1], [4, 1], [6, 1]], 41225581/1070176665600],
[[[1, 12], [2, 2], [3, 1], [4, 1], [7, 1]], 479/361267200],
[[[1, 12], [2, 2], [3, 1], [4, 2], [5, 1]], 478073/148635648000],
[[[1, 12], [2, 2], [3, 1], [4, 2], [6, 2]], 1/8360755200],
[[[1, 12], [2, 2], [3, 1], [4, 2], [8, 1]], 1313/29727129600],
[[[1, 12], [2, 2], [3, 1], [4, 3], [6, 1]], 173/11147673600],
[[[1, 12], [2, 2], [3, 1], [5, 1], [8, 1]], 239/1161216000],
[[[1, 12], [2, 2], [3, 1], [6, 1], [7, 1]], 83/1734082560],
[[[1, 12], [2, 2], [3, 2], [4, 1], [5, 1]], 377/27648000],
[[[1, 12], [2, 2], [3, 2], [4, 1], [6, 2]], 1/116121600],
[[[1, 12], [2, 2], [3, 2], [4, 1], [8, 1]], 125/396361728],
[[[1, 12], [2, 2], [3, 2], [4, 2], [6, 1]], 373/1857945600],
[[[1, 12], [2, 2], [3, 2], [5, 1], [6, 1]], 30943/18579456000],
[[[1, 12], [2, 2], [3, 2], [6, 1], [8, 1]], 1/77414400],
[[[1, 12], [2, 2], [3, 3], [4, 1], [6, 1]], 25687/16721510400],
[[[1, 12], [2, 2], [4, 1], [5, 1], [8, 1]], 39/917504000],
[[[1, 12], [2, 2], [4, 1], [6, 1], [7, 1]], 1/270950400],
[[[1, 12], [2, 2], [4, 2], [5, 1], [6, 1]], 1/61931520],
[[[1, 12], [2, 2], [4, 2], [6, 1], [8, 1]], 1/14863564800],
[[[1, 12], [2, 4], [3, 1], [4, 1], [5, 1]], 1773791/55738368000],
[[[1, 12], [2, 4], [3, 1], [4, 1], [6, 2]], 97/1194393600],
[[[1, 12], [2, 4], [3, 1], [4, 1], [8, 1]], 36601/22295347200],
[[[1, 12], [2, 4], [3, 1], [4, 2], [6, 1]], 1470457/535088332800],
[[[1, 12], [2, 4], [3, 1], [5, 1], [6, 1]], 671/199065600],
[[[1, 12], [2, 4], [3, 1], [6, 1], [8, 1]], 409/5573836800],
[[[1, 12], [2, 4], [3, 2], [4, 1], [6, 1]], 366223/33443020800],
[[[1, 12], [2, 4], [4, 1], [5, 1], [6, 1]], 229/348364800],
[[[1, 12], [2, 4], [4, 1], [6, 1], [8, 1]], 29/4459069440],
[[[1, 12], [2, 6], [3, 1], [4, 1], [6, 1]], 2414023/214035333120],
[[[1, 13], [2, 1], [3, 1], [4, 1], [7, 1]], 43/963379200],
[[[1, 13], [2, 1], [3, 1], [4, 2], [5, 1]], 239/4644864000],
[[[1, 13], [2, 1], [3, 1], [4, 2], [8, 1]], 1/7431782400],
[[[1, 13], [2, 1], [3, 1], [4, 3], [6, 1]], 1/11147673600],
[[[1, 13], [2, 1], [3, 1], [5, 1], [8, 1]], 113/18579456000],
[[[1, 13], [2, 1], [3, 1], [6, 1], [7, 1]], 1/1238630400],
[[[1, 13], [2, 1], [3, 2], [4, 1], [5, 1]], 4757/6193152000],
[[[1, 13], [2, 1], [3, 2], [4, 1], [8, 1]], 53/9909043200],
[[[1, 13], [2, 1], [3, 2], [4, 2], [6, 1]], 1/309657600],
[[[1, 13], [2, 1], [3, 2], [5, 1], [6, 1]], 317/6193152000],
[[[1, 13], [2, 1], [3, 3], [4, 1], [6, 1]], 1/104509440],
[[[1, 13], [2, 1], [4, 1], [5, 1], [8, 1]], 11/24772608000],
[[[1, 13], [2, 1], [4, 1], [6, 1], [7, 1]], 1/13005619200],
[[[1, 13], [2, 3], [3, 1], [4, 1], [5, 1]], 2569213/445906944000],
[[[1, 13], [2, 3], [3, 1], [4, 1], [6, 2]], 163/66886041600],
[[[1, 13], [2, 3], [3, 1], [4, 1], [8, 1]], 1679/11890851840],
[[[1, 13], [2, 3], [3, 1], [4, 2], [6, 1]], 6349/50960793600],
[[[1, 13], [2, 3], [3, 1], [5, 1], [6, 1]], 8143/22295347200],
[[[1, 13], [2, 3], [3, 1], [6, 1], [8, 1]], 163/44590694400],
[[[1, 13], [2, 3], [3, 2], [4, 1], [6, 1]], 45809/44590694400],
[[[1, 13], [2, 3], [4, 1], [5, 1], [6, 1]], 499/13934592000],
[[[1, 13], [2, 3], [4, 1], [6, 1], [8, 1]], 1/6370099200],
[[[1, 13], [2, 5], [3, 1], [4, 1], [6, 1]], 371479/178362777600],
[[[1, 14], [2, 2], [3, 1], [4, 1], [5, 1]], 1031/2123366400],
[[[1, 14], [2, 2], [3, 1], [4, 1], [6, 2]], 1/22295347200],
[[[1, 14], [2, 2], [3, 1], [4, 1], [8, 1]], 31/5945425920],
[[[1, 14], [2, 2], [3, 1], [4, 2], [6, 1]], 443/178362777600],
[[[1, 14], [2, 2], [3, 1], [5, 1], [6, 1]], 491/27869184000],
[[[1, 14], [2, 2], [3, 1], [6, 1], [8, 1]], 1/14863564800],
[[[1, 14], [2, 2], [3, 2], [4, 1], [6, 1]], 667/19110297600],
[[[1, 14], [2, 2], [4, 1], [5, 1], [6, 1]], 59/55738368000],
[[[1, 14], [2, 2], [4, 1], [6, 1], [8, 1]], 1/624269721600],
[[[1, 14], [2, 4], [3, 1], [4, 1], [6, 1]], 229949/1070176665600],
[[[1, 15], [2, 1], [3, 1], [4, 1], [5, 1]], 17/1189085184],
[[[1, 15], [2, 1], [3, 1], [4, 1], [8, 1]], 17/297271296000],
[[[1, 15], [2, 1], [3, 1], [4, 2], [6, 1]], 1/59454259200],
[[[1, 15], [2, 1], [3, 1], [5, 1], [6, 1]], 11/37158912000],
[[[1, 15], [2, 1], [3, 2], [4, 1], [6, 1]], 73/334430208000],
[[[1, 15], [2, 1], [4, 1], [5, 1], [6, 1]], 1/48771072000],
[[[1, 15], [2, 3], [3, 1], [4, 1], [6, 1]], 27943/2497078886400],
[[[1, 16], [2, 2], [3, 1], [4, 1], [6, 1]], 9763/37456183296000],
[[[1, 17], [2, 1], [3, 1], [4, 1], [6, 1]], 19/9364045824000],
[[[2, 2], [4, 1], [8, 2], [10, 1], [16, 1]], 1/1280],
[[[2, 2], [4, 2], [8, 1], [14, 1], [16, 1]], 1/1792],
[[[2, 2], [4, 2], [8, 2], [12, 1], [14, 1]], 1/2688],
[[[2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/12288],
[[[2, 2], [4, 4], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/33600],
[[[2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 1/4608],
[[[2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 1/13824],
[[[2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 1/5120],
[[[2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 1/11520],
[[[2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/430080],
[[[2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 19/737280],
[[[2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 1/138240],
[[[2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/53760],
[[[2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 19/4300800],
[[[1, 1], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/3072],
[[[1, 1], [2, 1], [3, 1], [4, 5], [6, 1], [12, 2]], 1/1152],
[[[1, 1], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 1/1935360],
[[[1, 1], [2, 1], [3, 1], [4, 7], [6, 1], [12, 1]], 1/92160],
[[[1, 1], [2, 1], [4, 1], [7, 1], [14, 1], [16, 1]], 1/1568],
[[[1, 1], [2, 1], [4, 1], [8, 1], [16, 1], [20, 1]], 1/160],
[[[1, 1], [2, 1], [4, 1], [12, 1], [16, 1], [20, 1]], 1/480],
[[[1, 1], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 1], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/5120],
[[[1, 1], [2, 1], [4, 3], [7, 1], [8, 1], [14, 1]], 1/18816],
[[[1, 1], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/5120],
[[[1, 1], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/768],
[[[1, 1], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 13/1920],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [10, 3]], 1/54000],
[[[1, 1], [2, 3], [3, 1], [4, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [10, 2]], 1/345600],
[[[1, 1], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 5/73728],
[[[1, 1], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 1/36864],
[[[1, 1], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 1/12000],
[[[1, 1], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 1], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 1/15360],
[[[1, 1], [2, 3], [4, 1], [6, 2], [7, 1], [16, 1]], 1/8064],
[[[1, 1], [2, 3], [4, 1], [7, 1], [10, 1], [16, 1]], 1/6720],
[[[1, 1], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 1], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 1], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 1/3072],
[[[1, 1], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 1/13824],
[[[1, 1], [2, 3], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168],
[[[1, 1], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 1], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 3], [4, 3], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 1], [2, 3], [4, 3], [6, 1], [7, 1], [14, 1]], 1/10752],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 7/8192],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/4608],
[[[1, 1], [2, 3], [4, 3], [6, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 1], [2, 3], [4, 3], [6, 2], [7, 1], [8, 1]], 1/24192],
[[[1, 1], [2, 3], [4, 3], [7, 1], [8, 1], [10, 1]], 1/80640],
[[[1, 1], [2, 3], [4, 3], [8, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 1], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 5/10752],
[[[1, 1], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 19/1474560],
[[[1, 1], [2, 3], [6, 1], [8, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 3], [7, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 1/24576],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 1/54000],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 1/51840],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [16, 1]], 1/13824],
[[[1, 1], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 1], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/184320],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 1/57600],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 1/73728],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 1/345600],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/193536],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 5/82944],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 1/414720],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 1/13824],
[[[1, 1], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 1/344064],
[[[1, 1], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 1/737280],
[[[1, 1], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1/147456],
[[[1, 1], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 1], [2, 5], [4, 1], [5, 1], [8, 1], [16, 1]], 1/307200],
[[[1, 1], [2, 5], [4, 1], [6, 1], [7, 1], [16, 1]], 1/80640],
[[[1, 1], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 3/11200],
[[[1, 1], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/14400],
[[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 1], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 1/61440],
[[[1, 1], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 1/4096],
[[[1, 1], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 1/13824],
[[[1, 1], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/129024],
[[[1, 1], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 1], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 17/1935360],
[[[1, 1], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/86016],
[[[1, 1], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 13/215040],
[[[1, 1], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/61440],
[[[1, 1], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 5/55296],
[[[1, 1], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 1], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [16, 1]], 1/19353600],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 91/6912000],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [16, 1]], 1/138240],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/155520],
[[[1, 1], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 1/1474560],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/147456],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 1/115200],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/129024],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/92160],
[[[1, 1], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 107/464486400],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/1935360],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 29/3317760],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/691200],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 11/1105920],
[[[1, 1], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 1/1474560],
[[[1, 1], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 11/645120],
[[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 49/2304000],
[[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 7/1474560],
[[[1, 1], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 1/129024],
[[[1, 1], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 23/161280],
[[[1, 1], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 1/55296],
[[[1, 1], [2, 7], [4, 1], [7, 1], [8, 1], [12, 1]], 1/13547520],
[[[1, 1], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 1/1075200],
[[[1, 1], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1290240],
[[[1, 1], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 19/645120],
[[[1, 1], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 1/460800],
[[[1, 1], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 19/4915200],
[[[1, 1], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 19/1075200],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 29/16128000],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1], [16, 1]], 1/15482880],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1290240],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 13/4976640],
[[[1, 1], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 1/7526400],
[[[1, 1], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 1/10321920],
[[[1, 1], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 19/7372800],
[[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 17/53084160],
[[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 19/154828800],
[[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 1/8847360],
[[[1, 1], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 1/1612800],
[[[1, 1], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/6451200],
[[[1, 1], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 1/5160960],
[[[1, 1], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 373/12902400],
[[[1, 1], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 13/3686400],
[[[1, 1], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 19/103219200],
[[[1, 1], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 1/67737600],
[[[1, 1], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 131/580608000],
[[[1, 1], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 1/34406400],
[[[1, 1], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 317/4128768000],
[[[1, 1], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 113/27869184000],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 2], [8, 2]], 1/9600],
[[[1, 2], [2, 2], [3, 1], [4, 1], [8, 1], [14, 2]], 1/18816],
[[[1, 2], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 1/2048],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [28, 1]], 1/336],
[[[1, 2], [2, 2], [3, 1], [4, 2], [14, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 1/61440],
[[[1, 2], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 1/4096],
[[[1, 2], [2, 2], [3, 1], [4, 4], [5, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 1/2048],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 11/3456],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 1/1440],
[[[1, 2], [2, 2], [3, 1], [4, 4], [8, 1], [14, 1]], 1/18432],
[[[1, 2], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 1/69120],
[[[1, 2], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 677/2211840],
[[[1, 2], [2, 2], [3, 1], [5, 1], [7, 1], [8, 2]], 1/26880],
[[[1, 2], [2, 2], [3, 1], [5, 1], [8, 2], [14, 1]], 1/13440],
[[[1, 2], [2, 2], [3, 1], [5, 2], [6, 1], [10, 2]], 1/1125],
[[[1, 2], [2, 2], [3, 1], [5, 2], [10, 1], [14, 1]], 1/2100],
[[[1, 2], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 1/384],
[[[1, 2], [2, 2], [3, 2], [4, 1], [14, 1], [16, 1]], 1/8064],
[[[1, 2], [2, 2], [3, 2], [4, 2], [5, 2], [6, 2]], 1/259200],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [10, 2]], 1/259200],
[[[1, 2], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 2], [2, 2], [3, 2], [4, 3], [8, 1], [14, 1]], 1/96768],
[[[1, 2], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/6912],
[[[1, 2], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 1/4480],
[[[1, 2], [2, 2], [4, 1], [5, 1], [14, 1], [16, 1]], 1/2240],
[[[1, 2], [2, 2], [4, 1], [6, 1], [7, 2], [8, 1]], 1/18816],
[[[1, 2], [2, 2], [4, 1], [6, 1], [8, 2], [10, 2]], 1/9600],
[[[1, 2], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/2048],
[[[1, 2], [2, 2], [4, 1], [6, 2], [7, 1], [16, 1]], 1/8064],
[[[1, 2], [2, 2], [4, 1], [7, 1], [10, 1], [16, 1]], 1/2240],
[[[1, 2], [2, 2], [4, 1], [8, 2], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 2], [4, 2], [5, 1], [7, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1024],
[[[1, 2], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 7/6400],
[[[1, 2], [2, 2], [4, 2], [6, 1], [7, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 2], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 1/3136],
[[[1, 2], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 1/2352],
[[[1, 2], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1024],
[[[1, 2], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/192],
[[[1, 2], [2, 2], [4, 2], [8, 1], [12, 1], [20, 1]], 1/960],
[[[1, 2], [2, 2], [4, 3], [5, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 1/4096],
[[[1, 2], [2, 2], [4, 3], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 2], [2, 2], [4, 3], [6, 2], [7, 1], [8, 1]], 1/96768],
[[[1, 2], [2, 2], [4, 3], [7, 1], [8, 1], [10, 1]], 1/26880],
[[[1, 2], [2, 2], [4, 4], [6, 1], [7, 1], [8, 1]], 1/18432],
[[[1, 2], [2, 2], [4, 4], [6, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 2], [2, 2], [5, 1], [6, 1], [7, 1], [10, 2]], 1/2100],
[[[1, 2], [2, 2], [5, 1], [7, 1], [10, 1], [14, 1]], 3/1225],
[[[1, 2], [2, 2], [6, 1], [7, 1], [8, 2], [10, 1]], 1/13440],
[[[1, 2], [2, 2], [6, 1], [8, 2], [10, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 1/8192],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/18000],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/28224],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/43200],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [16, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 2], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 3/40960],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [16, 1]], 1/46080],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 1/115200],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 7/86400],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 1/3456],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/16128],
[[[1, 2], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 5/64512],
[[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 35/147456],
[[[1, 2], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 4], [3, 1], [4, 2], [10, 1], [16, 1]], 1/11520],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 17/49152],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/115200],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 1/12288],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/193536],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 11/165888],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/414720],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 1/207360],
[[[1, 2], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 7/2211840],
[[[1, 2], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 1/691200],
[[[1, 2], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 25/344064],
[[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 37/165888],
[[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 5/147456],
[[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 5/12288],
[[[1, 2], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 7/552960],
[[[1, 2], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 19/1179648],
[[[1, 2], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/24576],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [8, 2]], 1/69120],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1800],
[[[1, 2], [2, 4], [3, 1], [5, 1], [8, 2], [10, 1]], 1/57600],
[[[1, 2], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 1/4320],
[[[1, 2], [2, 4], [3, 1], [6, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 2], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 2], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/5040],
[[[1, 2], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/23040],
[[[1, 2], [2, 4], [3, 1], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [8, 2]], 1/46080],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 2], [8, 1]], 1/691200],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/21600],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 5/20736],
[[[1, 2], [2, 4], [3, 2], [4, 1], [10, 1], [16, 1]], 1/34560],
[[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 2], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 1/1036800],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/55296],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/259200],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 19/145152],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 11/62208],
[[[1, 2], [2, 4], [3, 2], [4, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 161/995328],
[[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 1/138240],
[[[1, 2], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/414720],
[[[1, 2], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 5/110592],
[[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/7200],
[[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [16, 1]], 1/11520],
[[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/800],
[[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 4], [4, 1], [5, 1], [10, 1], [16, 1]], 1/9600],
[[[1, 2], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 2], [2, 4], [4, 1], [6, 1], [7, 1], [16, 1]], 1/8064],
[[[1, 2], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 2], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/5120],
[[[1, 2], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 1/5120],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/5120],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 1/1920],
[[[1, 2], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 1/53760],
[[[1, 2], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 13/21504],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 19/76800],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 77/73728],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 31/61440],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/8064],
[[[1, 2], [2, 4], [4, 2], [6, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/129024],
[[[1, 2], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 2], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 1/32256],
[[[1, 2], [2, 4], [4, 2], [7, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 2], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 11/35840],
[[[1, 2], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 2], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 49/460800],
[[[1, 2], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 31/387072],
[[[1, 2], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 2], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 5/55296],
[[[1, 2], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 2], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 211/737280],
[[[1, 2], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 5/18432],
[[[1, 2], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 4], [5, 1], [6, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 2], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 1/737280],
[[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [16, 1]], 1/691200],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6144],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 77/345600],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 11/138240],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/48384],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/497664],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/62208],
[[[1, 2], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/345600],
[[[1, 2], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 11/737280],
[[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [7, 1]], 1/3870720],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 25/294912],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 7/86400],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 19/552960],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/107520],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 29/387072],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 151/663552],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 19/276480],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/5184],
[[[1, 2], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/258048],
[[[1, 2], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 1/2580480],
[[[1, 2], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 139/33177600],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 53/1548288],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 629/6635520],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 47/1105920],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 5/55296],
[[[1, 2], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 17/16588800],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 973/26542080],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 11/552960],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 7/163840],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [8, 2]], 1/691200],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 17/115200],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/5760],
[[[1, 2], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 19/1728000],
[[[1, 2], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 1/36864],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 1/43200],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [16, 1]], 1/414720],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/48384],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1/18432],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 2], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 1/230400],
[[[1, 2], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 1/552960],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 1/1451520],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1/55296],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 233/4147200],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 17/9953280],
[[[1, 2], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/34560],
[[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [16, 1]], 1/115200],
[[[1, 2], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 5/32256],
[[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1/5120],
[[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 11/147456],
[[[1, 2], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 19/1228800],
[[[1, 2], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 13/129024],
[[[1, 2], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3840],
[[[1, 2], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 11/92160],
[[[1, 2], [2, 6], [4, 1], [7, 1], [8, 1], [12, 1]], 1/483840],
[[[1, 2], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 3/35840],
[[[1, 2], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/7680],
[[[1, 2], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 41/2580480],
[[[1, 2], [2, 6], [4, 2], [6, 1], [7, 1], [12, 1]], 1/120960],
[[[1, 2], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 17/258048],
[[[1, 2], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 199/645120],
[[[1, 2], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 5/36864],
[[[1, 2], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 17/2764800],
[[[1, 2], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 5/55296],
[[[1, 2], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/50400],
[[[1, 2], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 19/161280],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1/327680],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 493/6912000],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 29/15482880],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 1/20480],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 49/9953280],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 2603/24883200],
[[[1, 2], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 1/54190080],
[[[1, 2], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 31/9676800],
[[[1, 2], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 43/309657600],
[[[1, 2], [2, 8], [3, 1], [4, 2], [5, 1], [12, 1]], 1/29030400],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 13/36126720],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 247/30965760],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 61/2211840],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 287/7372800],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 119/6635520],
[[[1, 2], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 1/8601600],
[[[1, 2], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 1/23224320],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 4841/743178240],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 41/3686400],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 13/4423680],
[[[1, 2], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 13/921600],
[[[1, 2], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 1/2580480],
[[[1, 2], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 19/1843200],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 1/3870720],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 1/368640],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 19/2764800],
[[[1, 2], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 1/69672960],
[[[1, 2], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 13/77414400],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/442368],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 19/116121600],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 1/2211840],
[[[1, 2], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 1/2764800],
[[[1, 2], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 11/1843200],
[[[1, 2], [2, 8], [4, 1], [5, 1], [8, 1], [12, 1]], 1/19353600],
[[[1, 2], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 1/80640],
[[[1, 2], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 67/307200],
[[[1, 2], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 23/368640],
[[[1, 2], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 1/61440],
[[[1, 2], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 409/14745600],
[[[1, 2], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 67/72253440],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 127/928972800],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 9649/464486400],
[[[1, 2], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 1/232243200],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 19/51609600],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 31/12902400],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 137/743178240],
[[[1, 2], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 13/103219200],
[[[1, 2], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 1/8601600],
[[[1, 2], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 1/12902400],
[[[1, 2], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 13/2949120],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 19/17836277760],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 4567/13934592000],
[[[1, 2], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280],
[[[1, 2], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/5760],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 1/15360],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/12000],
[[[1, 3], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 3], [2, 1], [3, 1], [4, 2], [8, 2], [14, 1]], 1/10752],
[[[1, 3], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 1/3840],
[[[1, 3], [2, 1], [3, 1], [4, 3], [5, 1], [16, 1]], 1/15360],
[[[1, 3], [2, 1], [3, 1], [4, 3], [5, 2], [8, 1]], 1/38400],
[[[1, 3], [2, 1], [3, 1], [4, 3], [7, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 7/8192],
[[[1, 3], [2, 1], [3, 1], [4, 3], [8, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 1/4608],
[[[1, 3], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 1/36864],
[[[1, 3], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 19/1474560],
[[[1, 3], [2, 1], [3, 1], [5, 2], [7, 1], [8, 1]], 1/8400],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 3], [6, 1]], 1/54000],
[[[1, 3], [2, 1], [3, 2], [4, 1], [14, 1], [16, 1]], 1/8064],
[[[1, 3], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/230400],
[[[1, 3], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 1/3072],
[[[1, 3], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/13824],
[[[1, 3], [2, 1], [3, 2], [4, 3], [5, 2], [6, 1]], 1/345600],
[[[1, 3], [2, 1], [3, 2], [4, 3], [8, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 3], [2, 1], [4, 1], [5, 1], [14, 1], [16, 1]], 1/6720],
[[[1, 3], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/5600],
[[[1, 3], [2, 1], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 3], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/3840],
[[[1, 3], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/7168],
[[[1, 3], [2, 1], [4, 3], [5, 1], [7, 1], [8, 1]], 1/17920],
[[[1, 3], [2, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/80640],
[[[1, 3], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 5/73728],
[[[1, 3], [2, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 5/10752],
[[[1, 3], [2, 1], [5, 1], [7, 1], [8, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/100800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/56448],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 7/6144],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/56448],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [10, 2]], 1/259200],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [16, 1]], 1/13824],
[[[1, 3], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/7168],
[[[1, 3], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 3], [2, 3], [3, 1], [4, 1], [14, 1], [16, 1]], 1/5376],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 17/61440],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/86400],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/12800],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 13/55296],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/172800],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [16, 1]], 1/3456],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/16128],
[[[1, 3], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 3/4096],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 7/46080],
[[[1, 3], [2, 3], [3, 1], [4, 2], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/645120],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/57600],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 157/73728],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 11/3456],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 7/18432],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 1/480],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 31/193536],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/165888],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/13824],
[[[1, 3], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/86016],
[[[1, 3], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 11/32256],
[[[1, 3], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 1/829440],
[[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 17/737280],
[[[1, 3], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/230400],
[[[1, 3], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 1/129024],
[[[1, 3], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/129024],
[[[1, 3], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 7/165888],
[[[1, 3], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 1/276480],
[[[1, 3], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 1/6144],
[[[1, 3], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 7/184320],
[[[1, 3], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 7/1105920],
[[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 989/1769472],
[[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 7/1105920],
[[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 787/442368],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 1/69120],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 3], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/19200],
[[[1, 3], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 1/2700],
[[[1, 3], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 1/7168],
[[[1, 3], [2, 3], [3, 1], [6, 1], [8, 2], [14, 1]], 1/7168],
[[[1, 3], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 7/86400],
[[[1, 3], [2, 3], [3, 1], [6, 2], [8, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 1/1792],
[[[1, 3], [2, 3], [3, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 1/9216],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 7/129600],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 1/23040],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/9216],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 7/129600],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 5/10368],
[[[1, 3], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 3], [2, 3], [3, 2], [4, 1], [10, 1], [16, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 1/172800],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 13/55296],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/86400],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 1/3456],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 19/145152],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 19/145152],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/13824],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 19/311040],
[[[1, 3], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 3], [3, 2], [4, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 3], [3, 2], [4, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 49/414720],
[[[1, 3], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 31/193536],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 103/248832],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 49/414720],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 5/2304],
[[[1, 3], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 7/414720],
[[[1, 3], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 1/276480],
[[[1, 3], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 7/165888],
[[[1, 3], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/829440],
[[[1, 3], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/2700],
[[[1, 3], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 3], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 7/86400],
[[[1, 3], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 3], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 1/69120],
[[[1, 3], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/259200],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [16, 1]], 1/13824],
[[[1, 3], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 19/311040],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/13824],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/165888],
[[[1, 3], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [16, 1]], 1/8640],
[[[1, 3], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/896],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 7/30720],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/2560],
[[[1, 3], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 1/2880],
[[[1, 3], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 3], [2, 3], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376],
[[[1, 3], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/7168],
[[[1, 3], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/100800],
[[[1, 3], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 3], [4, 1], [6, 2], [8, 1], [10, 2]], 1/23040],
[[[1, 3], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 3], [2, 3], [4, 1], [6, 2], [8, 2], [10, 1]], 1/9216],
[[[1, 3], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 17/12544],
[[[1, 3], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/896],
[[[1, 3], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 7/30720],
[[[1, 3], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 1/768],
[[[1, 3], [2, 3], [4, 1], [8, 1], [12, 1], [20, 1]], 1/5760],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 7/46080],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 3], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 3/17920],
[[[1, 3], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 3], [4, 2], [5, 1], [12, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 1/9600],
[[[1, 3], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 3/4096],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 17/61440],
[[[1, 3], [2, 3], [4, 2], [6, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 3], [4, 2], [6, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 3], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/5376],
[[[1, 3], [2, 3], [4, 2], [7, 1], [10, 1], [12, 1]], 1/3360],
[[[1, 3], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 3/17920],
[[[1, 3], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 1/26880],
[[[1, 3], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 7/414720],
[[[1, 3], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 253/345600],
[[[1, 3], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 11/32256],
[[[1, 3], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 3], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/86016],
[[[1, 3], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 3], [2, 3], [4, 3], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 7/184320],
[[[1, 3], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/230400],
[[[1, 3], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 17/737280],
[[[1, 3], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 3], [5, 1], [6, 1], [8, 2], [10, 1]], 1/19200],
[[[1, 3], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1792],
[[[1, 3], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 23/368640],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/2880],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 1/92160],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 41/110592],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 227/691200],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 1/4608],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1/8064],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 1/48384],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/248832],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/77760],
[[[1, 3], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 5/18432],
[[[1, 3], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 121/1474560],
[[[1, 3], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/46080],
[[[1, 3], [2, 5], [3, 1], [4, 1], [10, 1], [16, 1]], 1/23040],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/23040],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 1/322560],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 1/345600],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 5213/4423680],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 37/172800],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 19/55296],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 5/64512],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 41/387072],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 121/331776],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 7/92160],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/2592],
[[[1, 3], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 13/258048],
[[[1, 3], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1/64512],
[[[1, 3], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 13/276480],
[[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 551/8847360],
[[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 11/153600],
[[[1, 3], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 47/1548288],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 197/516096],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 457/442368],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 457/1105920],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 47/41472],
[[[1, 3], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 43/276480],
[[[1, 3], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 1/55296],
[[[1, 3], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 11/1658880],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 2201/5308416],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 293/4423680],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 25/73728],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 13/276480],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 19/28800],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/2880],
[[[1, 3], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 1/645120],
[[[1, 3], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 11/86400],
[[[1, 3], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 13/86400],
[[[1, 3], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 11/96768],
[[[1, 3], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 13/60480],
[[[1, 3], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 23/207360],
[[[1, 3], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/6912],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/483840],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 29/4147200],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 7/55296],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 13/129600],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 11/414720],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/48384],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 47/145152],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 5/41472],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 131/311040],
[[[1, 3], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/96768],
[[[1, 3], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1/27648],
[[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/36864],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 1/580608],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 29/290304],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 427/663552],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 139/414720],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 19/62208],
[[[1, 3], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 1/165888],
[[[1, 3], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 1/51840],
[[[1, 3], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 47/3317760],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1751/19906560],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 41/829440],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 5/24576],
[[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/13824],
[[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 13/25920],
[[[1, 3], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 3], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/4608],
[[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/103680],
[[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 1/207360],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/82944],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 3], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/1244160],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/165888],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 19/28800],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [16, 1]], 31/345600],
[[[1, 3], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 1/71680],
[[[1, 3], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 3], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 65/64512],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 1/2304],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 67/294912],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 49/368640],
[[[1, 3], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/184320],
[[[1, 3], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 3], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 1/6144],
[[[1, 3], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 11/80640],
[[[1, 3], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 41/276480],
[[[1, 3], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 1/5376],
[[[1, 3], [2, 5], [4, 1], [7, 1], [8, 1], [12, 1]], 1/64512],
[[[1, 3], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 3], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 1/129024],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4608],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 1/17280],
[[[1, 3], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 51/51200],
[[[1, 3], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 3], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 23/129024],
[[[1, 3], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 3], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 37/215040],
[[[1, 3], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 13/36864],
[[[1, 3], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 781/4147200],
[[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 53/92160],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 121/138240],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 7/36864],
[[[1, 3], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 59/322560],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 1/7741440],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 151/2211840],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 83/230400],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 7/368640],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 19/1290240],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 17/80640],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 1447/4976640],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 127/388800],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/13824],
[[[1, 3], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1032192],
[[[1, 3], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 1/1105920],
[[[1, 3], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 61/967680],
[[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 1/153600],
[[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 317/44236800],
[[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 1/1036800],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 3/573440],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 77/552960],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 421/1105920],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 97/307200],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 641/3317760],
[[[1, 3], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 17/3686400],
[[[1, 3], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1/829440],
[[[1, 3], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 137/22118400],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 983/5898240],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 3707/22118400],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1201/13271040],
[[[1, 3], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 77/460800],
[[[1, 3], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 1/516096],
[[[1, 3], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 79/7741440],
[[[1, 3], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 13/96768],
[[[1, 3], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 469/5529600],
[[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 31/2764800],
[[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 1/2211840],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 1/387072],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 79/11612160],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 137/1658880],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 1549/8294400],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1/27648],
[[[1, 3], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 29/69672960],
[[[1, 3], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/409600],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 29/829440],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 43/1382400],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 23/1990656],
[[[1, 3], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 1/1105920],
[[[1, 3], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 49/4147200],
[[[1, 3], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/829440],
[[[1, 3], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1/165888],
[[[1, 3], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 11/69120],
[[[1, 3], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 7], [4, 1], [5, 1], [8, 1], [12, 1]], 17/11612160],
[[[1, 3], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 1/57344],
[[[1, 3], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 173/1720320],
[[[1, 3], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 5569/12902400],
[[[1, 3], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 41/147456],
[[[1, 3], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 1/663552],
[[[1, 3], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 1/552960],
[[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 41/3686400],
[[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 7/46080],
[[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 1/172800],
[[[1, 3], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 3661/14745600],
[[[1, 3], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 13/165150720],
[[[1, 3], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 1/1548288],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 17/72253440],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 479/24084480],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 947/37158912],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 85427/464486400],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 7/2211840],
[[[1, 3], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 29/116121600],
[[[1, 3], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 1/46448640],
[[[1, 3], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 13/51609600],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 253/20643840],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 6029/103219200],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 473/92897280],
[[[1, 3], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1/268800],
[[[1, 3], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 11/3225600],
[[[1, 3], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 17/154828800],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 191/185794560],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 11/4838400],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 1/2211840],
[[[1, 3], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 67/5529600],
[[[1, 3], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 223/4587520],
[[[1, 3], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6635520],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 11723/44590694400],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 11237/1393459200],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 1/35389440],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 1/18000],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 1/8192],
[[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 4], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 4], [2, 2], [3, 1], [4, 1], [14, 1], [16, 1]], 1/8064],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 31/61440],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 1/259200],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 19/76800],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/55296],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [10, 2]], 1/1036800],
[[[1, 4], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 13/21504],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 77/73728],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 1/9216],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/107520],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/115200],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 17/49152],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [16, 1]], 1/12288],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 1/64512],
[[[1, 4], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/21504],
[[[1, 4], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 31/387072],
[[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 211/737280],
[[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 25/344064],
[[[1, 4], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 5/110592],
[[[1, 4], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 5/18432],
[[[1, 4], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 19/1179648],
[[[1, 4], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/24576],
[[[1, 4], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/5040],
[[[1, 4], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/7200],
[[[1, 4], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 4], [2, 2], [3, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 4], [2, 2], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 2], [3, 1], [7, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/21600],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 1/5120],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [16, 1]], 5/20736],
[[[1, 4], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 4], [2, 2], [3, 2], [4, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/161280],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 7/86400],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 1/3456],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 19/145152],
[[[1, 4], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/129024],
[[[1, 4], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 2], [3, 2], [4, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 1/138240],
[[[1, 4], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/30720],
[[[1, 4], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 161/995328],
[[[1, 4], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 5/55296],
[[[1, 4], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 5/147456],
[[[1, 4], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 37/165888],
[[[1, 4], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1]], 1/207360],
[[[1, 4], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 5/12288],
[[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/23040],
[[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/4320],
[[[1, 4], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/10080],
[[[1, 4], [2, 2], [3, 2], [5, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/14400],
[[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1800],
[[[1, 4], [2, 2], [3, 2], [6, 1], [8, 2], [10, 1]], 1/69120],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/43200],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [16, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 11/62208],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 1/276480],
[[[1, 4], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [10, 1]], 1/34560],
[[[1, 4], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/414720],
[[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 11/165888],
[[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 2], [4, 1], [5, 1], [6, 2], [16, 1]], 1/34560],
[[[1, 4], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 1/5120],
[[[1, 4], [2, 2], [4, 1], [5, 1], [10, 1], [16, 1]], 1/9600],
[[[1, 4], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 4], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/800],
[[[1, 4], [2, 2], [4, 1], [6, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 4], [2, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 1/691200],
[[[1, 4], [2, 2], [4, 1], [6, 2], [8, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/15360],
[[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 4], [2, 2], [4, 2], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 11/35840],
[[[1, 4], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 4], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 2], [4, 2], [5, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 4], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 5/64512],
[[[1, 4], [2, 2], [4, 2], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 4], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 35/147456],
[[[1, 4], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 3/40960],
[[[1, 4], [2, 2], [4, 2], [6, 1], [10, 1], [16, 1]], 1/46080],
[[[1, 4], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 1/10752],
[[[1, 4], [2, 2], [4, 2], [8, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 2], [4, 2], [8, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/53760],
[[[1, 4], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/414720],
[[[1, 4], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 49/460800],
[[[1, 4], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 7/552960],
[[[1, 4], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 1/691200],
[[[1, 4], [2, 2], [4, 4], [6, 1], [8, 1], [10, 1]], 7/2211840],
[[[1, 4], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 2], [5, 1], [6, 1], [8, 2], [10, 1]], 1/57600],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 89/368640],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/1200],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/46080],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/10800],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 91/691200],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 29/55296],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 7/115200],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 7/41472],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 1/145152],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/497664],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 4], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 3/3584],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/7680],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 17/73728],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 1], [10, 1], [16, 1]], 11/69120],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/17280],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 25/516096],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 41/518400],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 361/110592],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 41/518400],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/1152],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 13/18432],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 47/96768],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 47/1161216],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 95/663552],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 47/2488320],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/5184],
[[[1, 4], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 23/129024],
[[[1, 4], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 193/258048],
[[[1, 4], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 11/96768],
[[[1, 4], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 43/276480],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 607/2211840],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 19/76800],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 127/516096],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 127/516096],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 2573/3981312],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/8192],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 35/41472],
[[[1, 4], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 751/1658880],
[[[1, 4], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 91/552960],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 317/110592],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 91/552960],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1493/442368],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 13/19200],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/5760],
[[[1, 4], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/17920],
[[[1, 4], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/7200],
[[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 13/19200],
[[[1, 4], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 47/56448],
[[[1, 4], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 4], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 11/96768],
[[[1, 4], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/15120],
[[[1, 4], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 17/207360],
[[[1, 4], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/4320],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/48384],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 7/115200],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 29/55296],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/10800],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 7/41472],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 47/145152],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 47/145152],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 37/165888],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 53/311040],
[[[1, 4], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 31/387072],
[[[1, 4], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 5/32256],
[[[1, 4], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 179/276480],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 1/6144],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 47/1161216],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 47/96768],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 433/331776],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 179/276480],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 337/124416],
[[[1, 4], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/13824],
[[[1, 4], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 7/165888],
[[[1, 4], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 1/12960],
[[[1, 4], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/8192],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 2573/3981312],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 43/276480],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 35/41472],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/15120],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 359/259200],
[[[1, 4], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 11/96768],
[[[1, 4], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 53/311040],
[[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 43/829440],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 37/165888],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 4], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 47/2488320],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 95/663552],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 17/207360],
[[[1, 4], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/311040],
[[[1, 4], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/497664],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 11/69120],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/20160],
[[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 11/64512],
[[[1, 4], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 4], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 1/1792],
[[[1, 4], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1200],
[[[1, 4], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 3/3584],
[[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 91/691200],
[[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 17/73728],
[[[1, 4], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 89/368640],
[[[1, 4], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 1/46080],
[[[1, 4], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 5/32256],
[[[1, 4], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 31/387072],
[[[1, 4], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/48384],
[[[1, 4], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 43/829440],
[[[1, 4], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/1792],
[[[1, 4], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 1/32256],
[[[1, 4], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 11/64512],
[[[1, 4], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 11/96768],
[[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/13824],
[[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 1/12960],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 91/57600],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 19/138240],
[[[1, 4], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 4], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 193/258048],
[[[1, 4], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 23/129024],
[[[1, 4], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 25/516096],
[[[1, 4], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/6144],
[[[1, 4], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 7/165888],
[[[1, 4], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 19/138240],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 751/1658880],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 19/76800],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 607/2211840],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 4], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/11520],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/184320],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 17/1382400],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 2669/8847360],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 353/691200],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 571/6635520],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 5/36864],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 109/387072],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 571/995328],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 823/2488320],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1/6912],
[[[1, 4], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 5/258048],
[[[1, 4], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 71/322560],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1187/5529600],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1057/8847360],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 751/2764800],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 551/6193152],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 1733/2903040],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 4183/2211840],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 121/129600],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 391/442368],
[[[1, 4], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 367/1105920],
[[[1, 4], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 4], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 31/442368],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 471151/318504960],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 671/1105920],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1769/2654208],
[[[1, 4], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 1/241920],
[[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 259/552960],
[[[1, 4], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 13/516096],
[[[1, 4], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 4], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 43/774144],
[[[1, 4], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 7/34560],
[[[1, 4], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 113/552960],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 67/552960],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 5/221184],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 59/2322432],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 19/165888],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 3239/3317760],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 599/829440],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 1/6912],
[[[1, 4], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/27648],
[[[1, 4], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 17/4976640],
[[[1, 4], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 269/4423680],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 487/1327104],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 179/552960],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 4591/19906560],
[[[1, 4], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 37/1105920],
[[[1, 4], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 907/8294400],
[[[1, 4], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 71/4976640],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 13/221184],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 1/129024],
[[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/7680],
[[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 5/13824],
[[[1, 4], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 181/368640],
[[[1, 4], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 47/4147200],
[[[1, 4], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 5/24576],
[[[1, 4], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 199/967680],
[[[1, 4], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 547/1935360],
[[[1, 4], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1067/2764800],
[[[1, 4], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 5/663552],
[[[1, 4], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 7/552960],
[[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 3251/11059200],
[[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 1/960],
[[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 31/518400],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 15089/14745600],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 227/3317760],
[[[1, 4], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 19/1843200],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 29/8847360],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 41/2764800],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 53/10321920],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 3557/30965760],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 8807/26542080],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 35981/66355200],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 11/221184],
[[[1, 4], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 13/2211840],
[[[1, 4], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 43/69672960],
[[[1, 4], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 439/38707200],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 4757/20643840],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 46987/116121600],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 473/8847360],
[[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1/737280],
[[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 577/11059200],
[[[1, 4], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 293/11059200],
[[[1, 4], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 31/7372800],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 6043/185794560],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 713/16588800],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 11/1105920],
[[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/81920],
[[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 409/2764800],
[[[1, 4], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 59449/309657600],
[[[1, 4], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 7/3317760],
[[[1, 4], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 17/103219200],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 144559/17836277760],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 22871/348364800],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1105920],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 3/11200],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/54000],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/56448],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 1/24576],
[[[1, 5], [2, 1], [3, 1], [4, 1], [14, 1], [16, 1]], 1/80640],
[[[1, 5], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1/230400],
[[[1, 5], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 1/4096],
[[[1, 5], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/13824],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 13/215040],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/345600],
[[[1, 5], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 1/73728],
[[[1, 5], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/86016],
[[[1, 5], [2, 1], [3, 1], [4, 3], [8, 1], [14, 1]], 17/1935360],
[[[1, 5], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/344064],
[[[1, 5], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/147456],
[[[1, 5], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 5], [2, 1], [3, 1], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/14400],
[[[1, 5], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 5], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320],
[[[1, 5], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/18432],
[[[1, 5], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/129024],
[[[1, 5], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/61440],
[[[1, 5], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/193536],
[[[1, 5], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 5/55296],
[[[1, 5], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/737280],
[[[1, 5], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/51840],
[[[1, 5], [2, 1], [3, 3], [4, 1], [6, 1], [16, 1]], 1/13824],
[[[1, 5], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/276480],
[[[1, 5], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/414720],
[[[1, 5], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 5/82944],
[[[1, 5], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/61440],
[[[1, 5], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/25200],
[[[1, 5], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/4800],
[[[1, 5], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/307200],
[[[1, 5], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/107520],
[[[1, 5], [2, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/184320],
[[[1, 5], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 5], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 49/368640],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/4800],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/184320],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 13/129600],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 19/28800],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 7/55296],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 29/4147200],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 11/414720],
[[[1, 5], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 65/64512],
[[[1, 5], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 67/294912],
[[[1, 5], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 5], [2, 3], [3, 1], [4, 1], [10, 1], [16, 1]], 31/345600],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 37/215040],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 37/172800],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 5213/4423680],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/345600],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 19/55296],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 29/290304],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 1/580608],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/165888],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 1/1244160],
[[[1, 5], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 1/3584],
[[[1, 5], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 23/129024],
[[[1, 5], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/161280],
[[[1, 5], [2, 3], [3, 1], [4, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 41/829440],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 121/138240],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 53/92160],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 197/516096],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 47/1548288],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1751/19906560],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 47/3317760],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 5/24576],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 781/4147200],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 7/36864],
[[[1, 5], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 293/4423680],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 2201/5308416],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 11/1658880],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 25/73728],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 1/10240],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 11/86400],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/10080],
[[[1, 5], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 59/322560],
[[[1, 5], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 13/86400],
[[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 19/28800],
[[[1, 5], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 13/276480],
[[[1, 5], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/11520],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 11/80640],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 227/691200],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 41/110592],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/4608],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 47/145152],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/48384],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/82944],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1/103680],
[[[1, 5], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/6144],
[[[1, 5], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 139/414720],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 13/36864],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/4608],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 41/387072],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 5/64512],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 427/663552],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 1/27648],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 19/62208],
[[[1, 5], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/18432],
[[[1, 5], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 457/1105920],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 457/442368],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 13/276480],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 47/41472],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 13/60480],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/4608],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 13/25920],
[[[1, 5], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 11/96768],
[[[1, 5], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/13824],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 131/311040],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 41/276480],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/48384],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 5/41472],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/6912],
[[[1, 5], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 7/92160],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 121/331776],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/2592],
[[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 23/207360],
[[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/77760],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/248832],
[[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 1/23040],
[[[1, 5], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 3/8960],
[[[1, 5], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 5], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/19200],
[[[1, 5], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 5/18432],
[[[1, 5], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 5], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 121/1474560],
[[[1, 5], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 23/368640],
[[[1, 5], [2, 3], [4, 1], [6, 1], [10, 1], [16, 1]], 1/92160],
[[[1, 5], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 5], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 1/207360],
[[[1, 5], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 1/129024],
[[[1, 5], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 1/71680],
[[[1, 5], [2, 3], [4, 1], [8, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/5040],
[[[1, 5], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 5], [2, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 1/51840],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 51/51200],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 5], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 1/64512],
[[[1, 5], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 13/258048],
[[[1, 5], [2, 3], [4, 2], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 5], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 1/36864],
[[[1, 5], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/165888],
[[[1, 5], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 43/276480],
[[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 11/153600],
[[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 551/8847360],
[[[1, 5], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 5], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 5], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/8640],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 517/7741440],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 599/4147200],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 131/221184],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 599/4147200],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 2429/16588800],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 167/387072],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 47/331776],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 113/331776],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 593/4976640],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 1/13824],
[[[1, 5], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 59/442368],
[[[1, 5], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 9/28672],
[[[1, 5], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 191/1935360],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 1/1536],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1667/2949120],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 7/7200],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/69120],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 1343/2654208],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 1343/2654208],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 143/82944],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 4811/13271040],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 751/995328],
[[[1, 5], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 997/1105920],
[[[1, 5], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 13/165888],
[[[1, 5], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 11/103680],
[[[1, 5], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 10409/13271040],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 777839/199065600],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 10409/13271040],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1889/884736],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 5/64512],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 959/2073600],
[[[1, 5], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/12288],
[[[1, 5], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 5], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1/12288],
[[[1, 5], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 5/64512],
[[[1, 5], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 31/184320],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 737/829440],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 73/442368],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/4608],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 47/331776],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 167/387072],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 73/41472],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 737/829440],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 5/13824],
[[[1, 5], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 5], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 5], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 4811/13271040],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 143/82944],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 1/1536],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 751/995328],
[[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 31/184320],
[[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 959/2073600],
[[[1, 5], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 593/4976640],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 113/331776],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 191/1935360],
[[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 7/46080],
[[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4608],
[[[1, 5], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 413/460800],
[[[1, 5], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 7/276480],
[[[1, 5], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 9/28672],
[[[1, 5], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 5], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 59/442368],
[[[1, 5], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 517/7741440],
[[[1, 5], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 73/442368],
[[[1, 5], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 5], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 7/276480],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 997/1105920],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 7/7200],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 11/103680],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1667/2949120],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 13/165888],
[[[1, 5], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 5], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 29/153600],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 823/17694720],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 197/1105920],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 391/6193152],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 27533/92897280],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 23147/26542080],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 10591/13271040],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 67/442368],
[[[1, 5], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 7/61440],
[[[1, 5], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 3431/696729600],
[[[1, 5], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 6599/44236800],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 40153/26542080],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 44039/44236800],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 11311/39813120],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 533/2073600],
[[[1, 5], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 43/460800],
[[[1, 5], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 851/13271040],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 5707/26542080],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 251/829440],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 121/2211840],
[[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 7/40960],
[[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 119/204800],
[[[1, 5], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 20641/58982400],
[[[1, 5], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 19/2211840],
[[[1, 5], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 251/41287680],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 64481/743178240],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 75599/309657600],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 3/327680],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 19/1228800],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/43200],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 1/5120],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 1/36864],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [16, 1]], 1/414720],
[[[1, 6], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 5/32256],
[[[1, 6], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 11/147456],
[[[1, 6], [2, 2], [3, 1], [4, 1], [10, 1], [16, 1]], 1/115200],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 199/645120],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 7/86400],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 25/294912],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 19/552960],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 1/1451520],
[[[1, 6], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 17/258048],
[[[1, 6], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 41/2580480],
[[[1, 6], [2, 2], [3, 1], [4, 2], [12, 1], [14, 1]], 1/120960],
[[[1, 6], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 6], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 1/30720],
[[[1, 6], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 53/1548288],
[[[1, 6], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 17/9953280],
[[[1, 6], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 17/2764800],
[[[1, 6], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 5/55296],
[[[1, 6], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 11/552960],
[[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 973/26542080],
[[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 17/16588800],
[[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 7/163840],
[[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 19/1728000],
[[[1, 6], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 19/161280],
[[[1, 6], [2, 2], [3, 1], [5, 1], [10, 1], [14, 1]], 1/50400],
[[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 17/115200],
[[[1, 6], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 2], [3, 1], [6, 1], [8, 2], [10, 1]], 1/691200],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/3840],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 77/345600],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6144],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [16, 1]], 11/138240],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1/48384],
[[[1, 6], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 13/129024],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 233/4147200],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 5/36864],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 29/387072],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 1/107520],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/55296],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 1/230400],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1/27648],
[[[1, 6], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 47/1105920],
[[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 629/6635520],
[[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 5/55296],
[[[1, 6], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/5040],
[[[1, 6], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/34560],
[[[1, 6], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/34560],
[[[1, 6], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 11/92160],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/48384],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/18432],
[[[1, 6], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 19/276480],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 151/663552],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/5184],
[[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/62208],
[[[1, 6], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 1/497664],
[[[1, 6], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 3/35840],
[[[1, 6], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/345600],
[[[1, 6], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 11/737280],
[[[1, 6], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/737280],
[[[1, 6], [2, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/691200],
[[[1, 6], [2, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/483840],
[[[1, 6], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 6], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/2580480],
[[[1, 6], [2, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 1/258048],
[[[1, 6], [2, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/3870720],
[[[1, 6], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/552960],
[[[1, 6], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 139/33177600],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 547/1935360],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 353/691200],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 2669/8847360],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 17/1382400],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 571/6635520],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 19/165888],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 59/2322432],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 13/221184],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 71/4976640],
[[[1, 6], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 199/967680],
[[[1, 6], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 5/24576],
[[[1, 6], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 179/552960],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 15089/14745600],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1/960],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/276480],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 1733/2903040],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 551/6193152],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 487/1327104],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 269/4423680],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 4591/19906560],
[[[1, 6], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 3251/11059200],
[[[1, 6], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 227/3317760],
[[[1, 6], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 31/518400],
[[[1, 6], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 671/1105920],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 471151/318504960],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 31/442368],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1769/2654208],
[[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 7/34560],
[[[1, 6], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 6], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 6], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 907/8294400],
[[[1, 6], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 43/774144],
[[[1, 6], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 13/516096],
[[[1, 6], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/241920],
[[[1, 6], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 37/1105920],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 599/829440],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 1067/2764800],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 5/13824],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 109/387072],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 5/36864],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 3239/3317760],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 67/552960],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 1/6912],
[[[1, 6], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 5/663552],
[[[1, 6], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 121/129600],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 4183/2211840],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 1187/5529600],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 391/442368],
[[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 113/552960],
[[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 259/552960],
[[[1, 6], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 823/2488320],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 571/995328],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 71/322560],
[[[1, 6], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 6], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 6], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 181/368640],
[[[1, 6], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 7/552960],
[[[1, 6], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 5/258048],
[[[1, 6], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 6], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 1/184320],
[[[1, 6], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 5/221184],
[[[1, 6], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 17/4976640],
[[[1, 6], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 47/4147200],
[[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 367/1105920],
[[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 751/2764800],
[[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1057/8847360],
[[[1, 6], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 119/221184],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1721/8847360],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 809/1382400],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 5395/18579456],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 5395/18579456],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 21631/26542080],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 4697/13271040],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 17/110592],
[[[1, 6], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 79/245760],
[[[1, 6], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 301/24883200],
[[[1, 6], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 5039/5529600],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 173843/66355200],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 5039/5529600],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 83159/159252480],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 59/737280],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 7477/13271040],
[[[1, 6], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 59/737280],
[[[1, 6], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 4697/13271040],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 21631/26542080],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 119/221184],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 17/110592],
[[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 79/245760],
[[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 809/1382400],
[[[1, 6], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1721/8847360],
[[[1, 6], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 301/24883200],
[[[1, 6], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 451/5529600],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 1046077/2972712960],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 30449/66355200],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 37/1105920],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 49/2304000],
[[[1, 7], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 11/645120],
[[[1, 7], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 7/1474560],
[[[1, 7], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 19/645120],
[[[1, 7], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/115200],
[[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/147456],
[[[1, 7], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 1/1290240],
[[[1, 7], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 19/4915200],
[[[1, 7], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/1935360],
[[[1, 7], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/1474560],
[[[1, 7], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 19/1075200],
[[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 23/161280],
[[[1, 7], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 91/6912000],
[[[1, 7], [2, 1], [3, 2], [4, 1], [6, 1], [16, 1]], 1/138240],
[[[1, 7], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 7], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 1/460800],
[[[1, 7], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/129024],
[[[1, 7], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/691200],
[[[1, 7], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 29/3317760],
[[[1, 7], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 11/1105920],
[[[1, 7], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 7], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 1/55296],
[[[1, 7], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/145152],
[[[1, 7], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/92160],
[[[1, 7], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/155520],
[[[1, 7], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1075200],
[[[1, 7], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1474560],
[[[1, 7], [2, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/19353600],
[[[1, 7], [2, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/13547520],
[[[1, 7], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 107/464486400],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 5569/12902400],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 83/230400],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 151/2211840],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 7/368640],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 79/11612160],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/387072],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/165888],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 1/829440],
[[[1, 7], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 173/1720320],
[[[1, 7], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 1/57344],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 43/1382400],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 3661/14745600],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 7/46080],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 77/552960],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 3/573440],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 29/829440],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 1/409600],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 23/1990656],
[[[1, 7], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 41/3686400],
[[[1, 7], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 1/46080],
[[[1, 7], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 1/172800],
[[[1, 7], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 3707/22118400],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 983/5898240],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 137/22118400],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1201/13271040],
[[[1, 7], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 13/96768],
[[[1, 7], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 49/4147200],
[[[1, 7], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 79/7741440],
[[[1, 7], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/516096],
[[[1, 7], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/1105920],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1549/8294400],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 41/147456],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 11/69120],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 17/80640],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 19/1290240],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 137/1658880],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 31/2764800],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1/27648],
[[[1, 7], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/663552],
[[[1, 7], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 97/307200],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 421/1105920],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/153600],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 641/3317760],
[[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 469/5529600],
[[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 77/460800],
[[[1, 7], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 127/388800],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1447/4976640],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/13824],
[[[1, 7], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 61/967680],
[[[1, 7], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 7], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1105920],
[[[1, 7], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1032192],
[[[1, 7], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/7741440],
[[[1, 7], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2211840],
[[[1, 7], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 29/69672960],
[[[1, 7], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 17/11612160],
[[[1, 7], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 17/3686400],
[[[1, 7], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 317/44236800],
[[[1, 7], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/829440],
[[[1, 7], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1036800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 251/829440],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 20641/58982400],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 119/204800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 27533/92897280],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 391/6193152],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 5707/26542080],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 851/13271040],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 121/2211840],
[[[1, 7], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 7/40960],
[[[1, 7], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 19/2211840],
[[[1, 7], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 44039/44236800],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 40153/26542080],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 6599/44236800],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 11311/39813120],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 43/460800],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 533/2073600],
[[[1, 7], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 10591/13271040],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 23147/26542080],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 29/153600],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 67/442368],
[[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 7/61440],
[[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 197/1105920],
[[[1, 7], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 823/17694720],
[[[1, 7], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 3431/696729600],
[[[1, 7], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 24673/66355200],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 593101/1061683200],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 24673/66355200],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 4463/88473600],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 67/307200],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 493/6912000],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/327680],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1]], 29/15482880],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/3870720],
[[[1, 8], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 1/80640],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 19/116121600],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 409/14745600],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/61440],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 247/30965760],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 13/36126720],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/442368],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 13/77414400],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/2211840],
[[[1, 8], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/552960],
[[[1, 8], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 41/3686400],
[[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 4841/743178240],
[[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 13/4423680],
[[[1, 8], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 8], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/2764800],
[[[1, 8], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1/2580480],
[[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 19/2764800],
[[[1, 8], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 23/368640],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 1/20480],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/368640],
[[[1, 8], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 287/7372800],
[[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 61/2211840],
[[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 119/6635520],
[[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 19/1843200],
[[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 13/921600],
[[[1, 8], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 2603/24883200],
[[[1, 8], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 49/9953280],
[[[1, 8], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 31/9676800],
[[[1, 8], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 11/1843200],
[[[1, 8], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/54190080],
[[[1, 8], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/69672960],
[[[1, 8], [2, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/19353600],
[[[1, 8], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/8601600],
[[[1, 8], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 43/309657600],
[[[1, 8], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/23224320],
[[[1, 8], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/29030400],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 713/16588800],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 59449/309657600],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 409/2764800],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 3557/30965760],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 53/10321920],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 6043/185794560],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 31/7372800],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 11/1105920],
[[[1, 8], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1/81920],
[[[1, 8], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 7/3317760],
[[[1, 8], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 46987/116121600],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 4757/20643840],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 439/38707200],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 473/8847360],
[[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 293/11059200],
[[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 577/11059200],
[[[1, 8], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/737280],
[[[1, 8], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 35981/66355200],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 8807/26542080],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 19/1843200],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 11/221184],
[[[1, 8], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 13/2211840],
[[[1, 8], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 41/2764800],
[[[1, 8], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 29/8847360],
[[[1, 8], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 43/69672960],
[[[1, 8], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 30449/66355200],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 1046077/2972712960],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 451/5529600],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 37/1105920],
[[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 373/12902400],
[[[1, 9], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 29/16128000],
[[[1, 9], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1]], 1/15482880],
[[[1, 9], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/5160960],
[[[1, 9], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 19/103219200],
[[[1, 9], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/10321920],
[[[1, 9], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 19/154828800],
[[[1, 9], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 17/53084160],
[[[1, 9], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/8847360],
[[[1, 9], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/1612800],
[[[1, 9], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 13/3686400],
[[[1, 9], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1290240],
[[[1, 9], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 19/7372800],
[[[1, 9], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 13/4976640],
[[[1, 9], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/7526400],
[[[1, 9], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/6451200],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 11/4838400],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 223/4587520],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 67/5529600],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 479/24084480],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 17/72253440],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 191/185794560],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 17/154828800],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/2211840],
[[[1, 9], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 1/6635520],
[[[1, 9], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 6029/103219200],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 253/20643840],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 13/51609600],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 473/92897280],
[[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 11/3225600],
[[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/268800],
[[[1, 9], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 85427/464486400],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 947/37158912],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 7/2211840],
[[[1, 9], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 29/116121600],
[[[1, 9], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1548288],
[[[1, 9], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/165150720],
[[[1, 9], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/46448640],
[[[1, 9], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 75599/309657600],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 64481/743178240],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 251/41287680],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 3/327680],
[[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/12902400],
[[[1, 10], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 13/2949120],
[[[1, 10], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 67/72253440],
[[[1, 10], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 31/12902400],
[[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 19/51609600],
[[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 137/743178240],
[[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/8601600],
[[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 13/103219200],
[[[1, 10], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 9649/464486400],
[[[1, 10], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 127/928972800],
[[[1, 10], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/232243200],
[[[1, 10], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 22871/348364800],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 144559/17836277760],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 17/103219200],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1105920],
[[[1, 11], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 317/4128768000],
[[[1, 11], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1/67737600],
[[[1, 11], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/34406400],
[[[1, 11], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 131/580608000],
[[[1, 11], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 11237/1393459200],
[[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 11723/44590694400],
[[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/35389440],
[[[1, 12], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 4567/13934592000],
[[[1, 12], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 19/17836277760],
[[[1, 13], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 113/27869184000],
[[[2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/1280],
[[[2, 2], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [14, 1], [16, 1]], 1/3360],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [28, 1]], 1/336],
[[[1, 1], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/1728],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1440],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/1536],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/240],
[[[1, 1], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/17280],
[[[1, 1], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [16, 1]], 1/800],
[[[1, 1], [2, 1], [4, 1], [6, 1], [7, 1], [10, 1], [16, 1]], 1/3360],
[[[1, 1], [2, 1], [4, 1], [7, 1], [8, 1], [12, 1], [14, 1]], 1/2352],
[[[1, 1], [2, 1], [4, 3], [6, 1], [7, 1], [8, 1], [10, 1]], 1/40320],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/17280],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/14400],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/12600],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/2688],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/5760],
[[[1, 1], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 1], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/23040],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/3072],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/4608],
[[[1, 1], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/51840],
[[[1, 1], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 1], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/4608],
[[[1, 1], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 7/69120],
[[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 1], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288],
[[[1, 1], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/2400],
[[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/2400],
[[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 1], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 1], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/1920],
[[[1, 1], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/12096],
[[[1, 1], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 1], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/4608],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/172800],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/18432],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/11520],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/20736],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 17/4147200],
[[[1, 1], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 7/138240],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 1], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 1], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 1], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/120960],
[[[1, 1], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 11/1382400],
[[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/29030400],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 19/1612800],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/207360],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/737280],
[[[1, 1], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/921600],
[[[1, 1], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 1], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11059200],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/23224320],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [16, 1]], 1/17280],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [16, 1]], 1/4800],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/2688],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/86400],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/1920],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/14400],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 13/28224],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/1728],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 5/4608],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/480],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 29/9216],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/384],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/180],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [8, 1]], 1/207360],
[[[1, 2], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 2], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 7/276480],
[[[1, 2], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 53/2764800],
[[[1, 2], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 7/276480],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 53/13824],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 17/57600],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/86400],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/17280],
[[[1, 2], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 7/43200],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/576],
[[[1, 2], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/207360],
[[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/1920],
[[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/4800],
[[[1, 2], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/3360],
[[[1, 2], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 2], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 2], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/4032],
[[[1, 2], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/5040],
[[[1, 2], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5760],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/17280],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8640],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/161280],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/8640],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/1920],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/2880],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/15120],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/103680],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/241920],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 13/46080],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 11/51840],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/21600],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 79/129024],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 17/80640],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 61/92160],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 17/41472],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 7/8640],
[[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 31/829440],
[[[1, 2], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 53/276480],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 29/36864],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 5/31104],
[[[1, 2], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/51840],
[[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 2], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 41/691200],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 2], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/2560],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/13824],
[[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/1036800],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/129024],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/483840],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/3780],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 17/345600],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 67/414720],
[[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 101/5529600],
[[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 53/1843200],
[[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/165888],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 349/1843200],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 83/1658880],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 31/276480],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/622080],
[[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/172800],
[[[1, 2], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 13/5529600],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/967680],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 121/46448640],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/1920],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/12600],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/2688],
[[[1, 3], [2, 1], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/53760],
[[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/3072],
[[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/23040],
[[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/4608],
[[[1, 3], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/80640],
[[[1, 3], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/4608],
[[[1, 3], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288],
[[[1, 3], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/5760],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [16, 1]], 1/17280],
[[[1, 3], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 7/69120],
[[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 1/51840],
[[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/14400],
[[[1, 3], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1120],
[[[1, 3], [2, 1], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 23/28800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/2880],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/7560],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/4800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 23/28800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/14112],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 29/9216],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/2880],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/384],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/103680],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 23/115200],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2592],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 7/19200],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/7200],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 43/129024],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 43/129024],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 17/92160],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 61/82944],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 119/276480],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 19/51200],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 31/34560],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 119/276480],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 113/13824],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 31/34560],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/5040],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/60480],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 13/21600],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/7560],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/486],
[[[1, 3], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/12960],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 17/92160],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 23/115200],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 61/82944],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2592],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/103680],
[[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/12960],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/2688],
[[[1, 3], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/19200],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/7200],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 17/967680],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2560],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 43/46080],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/138240],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 11/129024],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 317/387072],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 263/483840],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 55/55296],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 5/13824],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 59/276480],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 83/230400],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 17/207360],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 113/92160],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1015/1327104],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 43/69120],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/12288],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/276480],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 239/1382400],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 13/69120],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/622080],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 31/518400],
[[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/921600],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 19/153600],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/460800],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 211/921600],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/276480],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/2880],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/10080],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2560],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/8640],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/17280],
[[[1, 4], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 17/80640],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 41/691200],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 79/129024],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/241920],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 53/276480],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 31/829440],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 29/36864],
[[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 4], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/15120],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 5/31104],
[[[1, 4], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 61/92160],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/46080],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 7/8640],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 17/41472],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 11/51840],
[[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/103680],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/10368],
[[[1, 4], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/40320],
[[[1, 4], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/51840],
[[[1, 4], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 4], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/21600],
[[[1, 4], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6720],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 13/23040],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 343/345600],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 17/23040],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 101/129024],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 101/129024],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 173/276480],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 109/248832],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 11/103680],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 451/276480],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1933/921600],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 143/138240],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 451/276480],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 137/55296],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 143/138240],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 173/276480],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 343/345600],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 13/23040],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 109/248832],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/23040],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/103680],
[[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 37/138240],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5239/5529600],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 169/138240],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 3167/19906560],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/28800],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/172800],
[[[1, 5], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/120960],
[[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 7/138240],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 17/4147200],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/20736],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 263/483840],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 13/69120],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 239/1382400],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/276480],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 317/387072],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 11/129024],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 17/967680],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 23/276480],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/622080],
[[[1, 5], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 31/518400],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 113/92160],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 83/230400],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 43/69120],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 59/276480],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1015/1327104],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 17/207360],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/12288],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 55/55296],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 43/46080],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 5/13824],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 149/138240],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 181/73728],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/46080],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 149/138240],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11879/24883200],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3780],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/483840],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/622080],
[[[1, 6], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/172800],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 349/1843200],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 53/1843200],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 31/276480],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 101/5529600],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 83/1658880],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/165888],
[[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 17/345600],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/13824],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 67/414720],
[[[1, 6], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1036800],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 169/138240],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5239/5529600],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 37/138240],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 3167/19906560],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 19/1612800],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/737280],
[[[1, 7], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/921600],
[[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 11/1382400],
[[[1, 7], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/207360],
[[[1, 7], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/29030400],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 211/921600],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 19/153600],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/921600],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/276480],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/460800],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/967680],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 13/5529600],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 121/46448640],
[[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/11059200],
[[[1, 9], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/23224320],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/7200],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/720],
[[[1, 1], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/86400],
[[[1, 1], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1], [12, 1]], 1/5040],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/25920],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/21600],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/259200],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7200],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/4032],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/14400],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1080],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7200],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1152],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/25920],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 13/17280],
[[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/4032],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/21600],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 133/57600],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1200],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1152],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 13/17280],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/25920],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/259200],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/10800]
]}