{[ [[[1, 25]], 1/7774681082426818560000], [[[2, 25]], 1/7774681082426818560000], [[[1, 1], [2, 24]], 193/7774681082426818560000], [[[1, 2], [2, 23]], 1/490825825910784000], [[[1, 3], [2, 22]], 1513/16197252255055872000], [[[1, 4], [2, 21]], 1715339/647890090202234880000], [[[1, 5], [2, 20]], 71363/1469138526535680000], [[[1, 6], [2, 19]], 1945417/3305561684705280000], [[[1, 7], [2, 18]], 109532743/23138931792936960000], [[[1, 7], [7, 3]], 1/43904], [[[1, 8], [2, 17]], 7251653029/287951151200993280000], [[[1, 9], [2, 16]], 75991250351/863853453602979840000], [[[1, 9], [3, 8]], 1/75582720], [[[1, 9], [5, 4]], 1/5760000], [[[1, 10], [2, 15]], 2178417379/10798168170037248000], [[[1, 11], [2, 14]], 12423403/39553729560576000], [[[1, 11], [3, 7]], 1/75582720], [[[1, 12], [2, 13]], 2660923/7191587192832000], [[[1, 13], [2, 12]], 2660923/7191587192832000], [[[1, 13], [3, 6]], 1231/338610585600], [[[1, 13], [5, 3]], 1009/278691840000], [[[1, 13], [7, 2]], 43/24277155840], [[[1, 13], [13, 1]], 1/28983951360], [[[1, 14], [2, 11]], 12423403/39553729560576000], [[[1, 15], [2, 10]], 2178417379/10798168170037248000], [[[1, 15], [3, 5]], 481/2167107747840], [[[1, 15], [11, 1]], 1/490497638400], [[[1, 16], [2, 9]], 75991250351/863853453602979840000], [[[1, 17], [2, 8]], 7251653029/287951151200993280000], [[[1, 17], [3, 4]], 55883/12395856317644800], [[[1, 17], [4, 4]], 1/514198484287488000], [[[1, 17], [5, 2]], 107/147149291520000], [[[1, 17], [8, 2]], 1/10712468422656000], [[[1, 18], [2, 7]], 109532743/23138931792936960000], [[[1, 19], [2, 6]], 1945417/3305561684705280000], [[[1, 19], [3, 3]], 1681/43385497111756800], [[[1, 19], [7, 1]], 859/674885510627328000], [[[1, 20], [2, 5]], 71363/1469138526535680000], [[[1, 21], [2, 4]], 1715339/647890090202234880000], [[[1, 21], [3, 2]], 503/3470839768940544000], [[[1, 21], [4, 2]], 1/5141984842874880000], [[[1, 21], [5, 1]], 19/964122158039040000], [[[1, 22], [2, 3]], 1513/16197252255055872000], [[[1, 23], [2, 2]], 1/490825825910784000], [[[1, 23], [3, 1]], 1/4338549711175680000], [[[1, 24], [2, 1]], 193/7774681082426818560000], [[[2, 7], [14, 3]], 1/43904], [[[2, 9], [6, 8]], 1/75582720], [[[2, 9], [10, 4]], 1/5760000], [[[2, 11], [6, 7]], 1/75582720], [[[2, 13], [6, 6]], 1231/338610585600], [[[2, 13], [10, 3]], 1009/278691840000], [[[2, 13], [14, 2]], 43/24277155840], [[[2, 13], [26, 1]], 1/28983951360], [[[2, 15], [6, 5]], 481/2167107747840], [[[2, 15], [22, 1]], 1/490497638400], [[[2, 17], [4, 4]], 1/514198484287488000], [[[2, 17], [6, 4]], 55883/12395856317644800], [[[2, 17], [8, 2]], 1/10712468422656000], [[[2, 17], [10, 2]], 107/147149291520000], [[[2, 19], [6, 3]], 1681/43385497111756800], [[[2, 19], [14, 1]], 859/674885510627328000], [[[2, 21], [4, 2]], 1/5141984842874880000], [[[2, 21], [6, 2]], 503/3470839768940544000], [[[2, 21], [10, 1]], 19/964122158039040000], [[[2, 23], [6, 1]], 1/4338549711175680000], [[[1, 1], [2, 6], [14, 3]], 1/10976], [[[1, 1], [2, 8], [6, 8]], 1/75582720], [[[1, 1], [2, 8], [10, 4]], 13/5760000], [[[1, 1], [2, 10], [6, 7]], 7/75582720], [[[1, 1], [2, 12], [6, 6]], 17821/338610585600], [[[1, 1], [2, 12], [10, 3]], 28297/278691840000], [[[1, 1], [2, 12], [14, 2]], 2533/36415733760], [[[1, 1], [2, 12], [26, 1]], 19/7245987840], [[[1, 1], [2, 14], [4, 5]], 1/47087773286400], [[[1, 1], [2, 14], [6, 5]], 10331/1547934105600], [[[1, 1], [2, 14], [22, 1]], 83/490497638400], [[[1, 1], [2, 16], [4, 4]], 11/46745316753408000], [[[1, 1], [2, 16], [6, 4]], 2932133/12395856317644800], [[[1, 1], [2, 16], [8, 2]], 11/973860765696000], [[[1, 1], [2, 16], [10, 2]], 937/18393661440000], [[[1, 1], [2, 16], [16, 1]], 1/1339058552832000], [[[1, 1], [2, 18], [4, 3]], 43/19776864780288000], [[[1, 1], [2, 18], [6, 3]], 13339/4338549711175680], [[[1, 1], [2, 18], [14, 1]], 95647/674885510627328000], [[[1, 1], [2, 20], [4, 2]], 47/1713994947624960000], [[[1, 1], [2, 20], [6, 2]], 577/35416732336128000], [[[1, 1], [2, 20], [8, 1]], 1/257099242143744000], [[[1, 1], [2, 20], [10, 1]], 1231/482061079019520000], [[[1, 1], [2, 22], [4, 1]], 1/444979457556480000], [[[1, 1], [2, 22], [6, 1]], 151/4338549711175680000], [[[1, 2], [2, 5], [14, 3]], 3/21952], [[[1, 2], [2, 7], [10, 4]], 1/192000], [[[1, 2], [2, 9], [6, 7]], 1/8398080], [[[1, 2], [2, 11], [4, 6]], 1/31708938240], [[[1, 2], [2, 11], [6, 6]], 259/1074954240], [[[1, 2], [2, 11], [10, 3]], 169/172032000], [[[1, 2], [2, 11], [14, 2]], 12857/14566293504], [[[1, 2], [2, 11], [26, 1]], 613/9661317120], [[[1, 2], [2, 13], [4, 5]], 67/47087773286400], [[[1, 2], [2, 13], [6, 5]], 1333/20065812480], [[[1, 2], [2, 13], [22, 1]], 43/8918138880], [[[1, 2], [2, 15], [4, 4]], 7963/2142493684531200], [[[1, 2], [2, 15], [6, 4]], 471539/105947489894400], [[[1, 2], [2, 15], [8, 2]], 31/59513713459200], [[[1, 2], [2, 15], [10, 2]], 547/408748032000], [[[1, 2], [2, 15], [16, 1]], 11/121732595712000], [[[1, 2], [2, 17], [4, 3]], 779/4080940351488000], [[[1, 2], [2, 17], [6, 3]], 2491/26486872473600], [[[1, 2], [2, 17], [7, 1]], 1/2343352467456000], [[[1, 2], [2, 17], [14, 1]], 230339/37493639479296000], [[[1, 2], [2, 19], [3, 2]], 1/144618323705856000], [[[1, 2], [2, 19], [4, 2]], 13367/1028396968574976000], [[[1, 2], [2, 19], [5, 1]], 1/40171756584960000], [[[1, 2], [2, 19], [6, 2]], 13501/18364231581696000], [[[1, 2], [2, 19], [8, 1]], 19/36728463163392000], [[[1, 2], [2, 19], [10, 1]], 467/3505898756505600], [[[1, 2], [2, 21], [3, 1]], 1/1928244316078080000], [[[1, 2], [2, 21], [4, 1]], 331/1051769626951680000], [[[1, 2], [2, 21], [6, 1]], 839/385648863215616000], [[[1, 3], [2, 4], [7, 3]], 1/43904], [[[1, 3], [2, 4], [14, 3]], 1/10976], [[[1, 3], [2, 6], [10, 4]], 1/192000], [[[1, 3], [2, 8], [4, 7]], 1/113246208], [[[1, 3], [2, 8], [6, 7]], 1/25194240], [[[1, 3], [2, 10], [4, 6]], 29/31708938240], [[[1, 3], [2, 10], [6, 6]], 1199/3224862720], [[[1, 3], [2, 10], [7, 2]], 1/8092385280], [[[1, 3], [2, 10], [10, 3]], 6121/1548288000], [[[1, 3], [2, 10], [13, 1]], 1/1073479680], [[[1, 3], [2, 10], [14, 2]], 41893/9103933440], [[[1, 3], [2, 10], [26, 1]], 25/40255488], [[[1, 3], [2, 12], [4, 5]], 473/356725555200], [[[1, 3], [2, 12], [6, 5]], 269/955514880], [[[1, 3], [2, 12], [22, 1]], 2029/32699842560], [[[1, 3], [2, 14], [4, 4]], 4517/23543886643200], [[[1, 3], [2, 14], [6, 4]], 1114177/28894769971200], [[[1, 3], [2, 14], [8, 2]], 23/1961990553600], [[[1, 3], [2, 14], [10, 2]], 41837/2452488192000], [[[1, 3], [2, 14], [16, 1]], 31/7439214182400], [[[1, 3], [2, 16], [4, 3]], 850679/38564886321561600], [[[1, 3], [2, 16], [6, 3]], 10314329/7230916185292800], [[[1, 3], [2, 16], [7, 1]], 11/213032042496000], [[[1, 3], [2, 16], [14, 1]], 5079583/37493639479296000], [[[1, 3], [2, 18], [3, 2]], 127/144618323705856000], [[[1, 3], [2, 18], [4, 2]], 222791/205679393714995200], [[[1, 3], [2, 18], [5, 1]], 127/40171756584960000], [[[1, 3], [2, 18], [6, 2]], 557509/32137405267968000], [[[1, 3], [2, 18], [8, 1]], 271/9888432390144000], [[[1, 3], [2, 18], [10, 1]], 3919/1071246842265600], [[[1, 3], [2, 20], [3, 1]], 47/642748105359360000], [[[1, 3], [2, 20], [4, 1]], 397/22037077898035200], [[[1, 3], [2, 20], [6, 1]], 3413/46277863585873920], [[[1, 4], [2, 3], [7, 3]], 1/10976], [[[1, 4], [2, 3], [14, 3]], 1/43904], [[[1, 4], [2, 5], [4, 8]], 1/75497472], [[[1, 4], [2, 5], [5, 4]], 1/5760000], [[[1, 4], [2, 5], [10, 4]], 13/5760000], [[[1, 4], [2, 7], [4, 7]], 7/113246208], [[[1, 4], [2, 9], [4, 6]], 71/377487360], [[[1, 4], [2, 9], [5, 3]], 1/30965760000], [[[1, 4], [2, 9], [6, 6]], 709/3224862720], [[[1, 4], [2, 9], [7, 2]], 29/4046192640], [[[1, 4], [2, 9], [10, 3]], 16397/2211840000], [[[1, 4], [2, 9], [13, 1]], 43/805109760], [[[1, 4], [2, 9], [14, 2]], 44981/4046192640], [[[1, 4], [2, 9], [26, 1]], 1507/536739840], [[[1, 4], [2, 11], [4, 5]], 223/5945425920], [[[1, 4], [2, 11], [6, 5]], 44693/85996339200], [[[1, 4], [2, 11], [11, 1]], 1/3633315840], [[[1, 4], [2, 11], [22, 1]], 10981/27249868800], [[[1, 4], [2, 13], [4, 4]], 1118351/141263319859200], [[[1, 4], [2, 13], [6, 4]], 160261/963158999040], [[[1, 4], [2, 13], [8, 2]], 7/50960793600], [[[1, 4], [2, 13], [10, 2]], 22999/201850880000], [[[1, 4], [2, 13], [16, 1]], 23/245248819200], [[[1, 4], [2, 15], [4, 3]], 177711949/192824431607808000], [[[1, 4], [2, 15], [6, 3]], 1850411/158921234841600], [[[1, 4], [2, 15], [7, 1]], 31/13018624819200], [[[1, 4], [2, 15], [14, 1]], 2265383/1363405071974400], [[[1, 4], [2, 17], [3, 2]], 701/16068702633984000], [[[1, 4], [2, 17], [4, 2]], 989627/26369153040384000], [[[1, 4], [2, 17], [5, 1]], 901/5738822369280000], [[[1, 4], [2, 17], [6, 2]], 8208841/35058987565056000], [[[1, 4], [2, 17], [8, 1]], 109/144275668992000], [[[1, 4], [2, 17], [10, 1]], 18691229/321374052679680000], [[[1, 4], [2, 19], [3, 1]], 2419/578473294823424000], [[[1, 4], [2, 19], [4, 1]], 19351/35058987565056000], [[[1, 4], [2, 19], [6, 1]], 26197/17529493782528000], [[[1, 5], [2, 2], [7, 3]], 3/21952], [[[1, 5], [2, 4], [4, 8]], 1/75497472], [[[1, 5], [2, 4], [5, 4]], 13/5760000], [[[1, 5], [2, 4], [10, 4]], 1/5760000], [[[1, 5], [2, 6], [4, 7]], 1/2359296], [[[1, 5], [2, 8], [4, 6]], 509/377487360], [[[1, 5], [2, 8], [5, 3]], 193/3440640000], [[[1, 5], [2, 8], [6, 6]], 1/23887872], [[[1, 5], [2, 8], [7, 2]], 2887/24277155840], [[[1, 5], [2, 8], [10, 3]], 16469/2211840000], [[[1, 5], [2, 8], [13, 1]], 2773/3220439040], [[[1, 5], [2, 8], [14, 2]], 9/655360], [[[1, 5], [2, 8], [26, 1]], 25/3833856], [[[1, 5], [2, 10], [4, 5]], 383/503316480], [[[1, 5], [2, 10], [6, 5]], 12727/28665446400], [[[1, 5], [2, 10], [11, 1]], 173/10899947520], [[[1, 5], [2, 10], [22, 1]], 12589/9083289600], [[[1, 5], [2, 12], [4, 4]], 880349/5650532794368], [[[1, 5], [2, 12], [5, 2]], 1/99090432000], [[[1, 5], [2, 12], [6, 4]], 116257/321052999680], [[[1, 5], [2, 12], [8, 2]], 11/13212057600], [[[1, 5], [2, 12], [10, 2]], 311911/766402560000], [[[1, 5], [2, 12], [16, 1]], 7/6370099200], [[[1, 5], [2, 14], [4, 3]], 28679809/1713994947624960], [[[1, 5], [2, 14], [6, 3]], 21113/401316249600], [[[1, 5], [2, 14], [7, 1]], 23/429185433600], [[[1, 5], [2, 14], [14, 1]], 91999/7847962214400], [[[1, 5], [2, 16], [3, 2]], 4831/4382373445632000], [[[1, 5], [2, 16], [4, 2]], 229374163/342798989524992000], [[[1, 5], [2, 16], [5, 1]], 14471/3651977871360000], [[[1, 5], [2, 16], [6, 2]], 17172251/9182115790848000], [[[1, 5], [2, 16], [8, 1]], 463187/38954430627840000], [[[1, 5], [2, 16], [10, 1]], 89313199/160687026339840000], [[[1, 5], [2, 18], [3, 1]], 73459/578473294823424000], [[[1, 5], [2, 18], [4, 1]], 2135209/214249368453120000], [[[1, 5], [2, 18], [6, 1]], 1212077/64274810535936000], [[[1, 5], [3, 4], [9, 2]], 1/5832], [[[1, 5], [3, 4], [13, 1]], 1/101088], [[[1, 5], [4, 2], [5, 4]], 1/480000], [[[1, 5], [4, 4], [5, 3]], 1/18432000], [[[1, 5], [4, 4], [7, 2]], 1/4816896], [[[1, 5], [4, 4], [13, 1]], 1/1916928], [[[1, 5], [5, 3], [8, 2]], 1/384000], [[[1, 5], [7, 2], [8, 2]], 1/100352], [[[1, 5], [8, 2], [13, 1]], 1/39936], [[[1, 6], [2, 1], [7, 3]], 1/10976], [[[1, 6], [2, 3], [5, 4]], 1/192000], [[[1, 6], [2, 5], [4, 7]], 1/2359296], [[[1, 6], [2, 7], [3, 6]], 1/16124313600], [[[1, 6], [2, 7], [4, 6]], 4241/1358954496], [[[1, 6], [2, 7], [5, 3]], 2977/3317760000], [[[1, 6], [2, 7], [6, 6]], 31/16124313600], [[[1, 6], [2, 7], [7, 2]], 1009/433520640], [[[1, 6], [2, 7], [10, 3]], 13081/3317760000], [[[1, 6], [2, 7], [13, 1]], 77/17252352], [[[1, 6], [2, 7], [14, 2]], 61/7077888], [[[1, 6], [2, 7], [26, 1]], 5471/690094080], [[[1, 6], [2, 9], [3, 5]], 47/401316249600], [[[1, 6], [2, 9], [4, 5]], 444817/95126814720], [[[1, 6], [2, 9], [6, 5]], 7577/42998169600], [[[1, 6], [2, 9], [11, 1]], 4717/18166579200], [[[1, 6], [2, 9], [22, 1]], 30977/11678515200], [[[1, 6], [2, 11], [3, 4]], 1/642105999360], [[[1, 6], [2, 11], [4, 4]], 675779/535088332800], [[[1, 6], [2, 11], [5, 2]], 1/1651507200], [[[1, 6], [2, 11], [6, 4]], 1976209/4815794995200], [[[1, 6], [2, 11], [8, 2]], 7/2831155200], [[[1, 6], [2, 11], [10, 2]], 446461/557383680000], [[[1, 6], [2, 11], [16, 1]], 11/1651507200], [[[1, 6], [2, 13], [4, 3]], 41626891/282526639718400], [[[1, 6], [2, 13], [6, 3]], 340819/2579890176000], [[[1, 6], [2, 13], [7, 1]], 3181/4994157772800], [[[1, 6], [2, 13], [14, 1]], 77353/1605264998400], [[[1, 6], [2, 15], [3, 2]], 6793/438237344563200], [[[1, 6], [2, 15], [4, 2]], 23631107/3570822807552000], [[[1, 6], [2, 15], [5, 1]], 74351/1339058552832000], [[[1, 6], [2, 15], [6, 2]], 491456971/55092694745088000], [[[1, 6], [2, 15], [8, 1]], 141785071/1285496210718720000], [[[1, 6], [2, 15], [10, 1]], 94340789/29215822970880000], [[[1, 6], [2, 17], [3, 1]], 482099/214249368453120000], [[[1, 6], [2, 17], [4, 1]], 519289/4708777328640000], [[[1, 6], [2, 17], [6, 1]], 289951381/1928244316078080000], [[[1, 7], [2, 2], [5, 4]], 1/192000], [[[1, 7], [2, 4], [4, 7]], 7/113246208], [[[1, 7], [2, 6], [3, 6]], 31/16124313600], [[[1, 7], [2, 6], [4, 6]], 4241/1358954496], [[[1, 7], [2, 6], [5, 3]], 13081/3317760000], [[[1, 7], [2, 6], [6, 6]], 1/16124313600], [[[1, 7], [2, 6], [7, 2]], 61/7077888], [[[1, 7], [2, 6], [10, 3]], 2977/3317760000], [[[1, 7], [2, 6], [13, 1]], 5471/690094080], [[[1, 7], [2, 6], [14, 2]], 1009/433520640], [[[1, 7], [2, 6], [26, 1]], 77/17252352], [[[1, 7], [2, 8], [3, 5]], 1559/401316249600], [[[1, 7], [2, 8], [4, 5]], 33023/3397386240], [[[1, 7], [2, 8], [6, 5]], 1469/42998169600], [[[1, 7], [2, 8], [11, 1]], 229351/163499212800], [[[1, 7], [2, 8], [22, 1]], 32359/11678515200], [[[1, 7], [2, 10], [3, 4]], 125/385263599616], [[[1, 7], [2, 10], [4, 4]], 16225/3567255552], [[[1, 7], [2, 10], [5, 2]], 41/2322432000], [[[1, 7], [2, 10], [6, 4]], 1190923/4815794995200], [[[1, 7], [2, 10], [8, 2]], 13/3963617280], [[[1, 7], [2, 10], [10, 2]], 505697/557383680000], [[[1, 7], [2, 10], [16, 1]], 211/9909043200], [[[1, 7], [2, 12], [3, 3]], 47/1605264998400], [[[1, 7], [2, 12], [4, 3]], 1716601/2568423997440], [[[1, 7], [2, 12], [6, 3]], 3375613/18059231232000], [[[1, 7], [2, 12], [7, 1]], 7211/1664719257600], [[[1, 7], [2, 12], [14, 1]], 1311307/11236854988800], [[[1, 7], [2, 14], [3, 2]], 35507/282526639718400], [[[1, 7], [2, 14], [4, 2]], 2512127/67268247552000], [[[1, 7], [2, 14], [5, 1]], 15007/33634123776000], [[[1, 7], [2, 14], [6, 2]], 174612287/6886586843136000], [[[1, 7], [2, 14], [8, 1]], 51674267/85699747381248000], [[[1, 7], [2, 14], [10, 1]], 5030941/441447874560000], [[[1, 7], [2, 16], [3, 1]], 46413431/1928244316078080000], [[[1, 7], [2, 16], [4, 1]], 6817413529/8998473475031040000], [[[1, 7], [2, 16], [6, 1]], 1461929941/1928244316078080000], [[[1, 7], [3, 1], [5, 4]], 1/180000], [[[1, 7], [3, 3], [5, 3]], 1/194400], [[[1, 7], [3, 3], [7, 2]], 1/169344], [[[1, 7], [3, 3], [9, 2]], 1/23328], [[[1, 7], [3, 3], [13, 1]], 7/808704], [[[1, 7], [3, 4], [11, 1]], 1/171072], [[[1, 7], [3, 5], [4, 4]], 1/716636160], [[[1, 7], [3, 5], [5, 2]], 1/2332800], [[[1, 7], [3, 5], [8, 2]], 1/14929920], [[[1, 7], [3, 6], [7, 1]], 1/2939328], [[[1, 7], [3, 6], [9, 1]], 7/2099520], [[[1, 7], [4, 4], [11, 1]], 1/32440320], [[[1, 7], [5, 2], [11, 1]], 1/422400], [[[1, 7], [5, 3], [7, 1]], 1/168000], [[[1, 7], [7, 1], [13, 1]], 1/17472], [[[1, 7], [8, 2], [11, 1]], 1/675840], [[[1, 8], [2, 1], [3, 8]], 1/75582720], [[[1, 8], [2, 1], [5, 4]], 13/5760000], [[[1, 8], [2, 3], [3, 7]], 1/25194240], [[[1, 8], [2, 3], [4, 7]], 1/113246208], [[[1, 8], [2, 5], [3, 6]], 1/23887872], [[[1, 8], [2, 5], [4, 6]], 509/377487360], [[[1, 8], [2, 5], [5, 3]], 16469/2211840000], [[[1, 8], [2, 5], [7, 2]], 9/655360], [[[1, 8], [2, 5], [10, 3]], 193/3440640000], [[[1, 8], [2, 5], [13, 1]], 25/3833856], [[[1, 8], [2, 5], [14, 2]], 2887/24277155840], [[[1, 8], [2, 5], [26, 1]], 2773/3220439040], [[[1, 8], [2, 7], [3, 5]], 1469/42998169600], [[[1, 8], [2, 7], [4, 5]], 33023/3397386240], [[[1, 8], [2, 7], [6, 5]], 1559/401316249600], [[[1, 8], [2, 7], [11, 1]], 32359/11678515200], [[[1, 8], [2, 7], [22, 1]], 229351/163499212800], [[[1, 8], [2, 9], [3, 4]], 497/55037657088], [[[1, 8], [2, 9], [4, 4]], 9224267/1141521776640], [[[1, 8], [2, 9], [5, 2]], 10699/61931520000], [[[1, 8], [2, 9], [6, 4]], 81017/1070176665600], [[[1, 8], [2, 9], [8, 2]], 1/528482304], [[[1, 8], [2, 9], [10, 2]], 848387/1486356480000], [[[1, 8], [2, 9], [16, 1]], 79/1981808640], [[[1, 8], [2, 11], [3, 3]], 901/802632499200], [[[1, 8], [2, 11], [4, 3]], 17789/10569646080], [[[1, 8], [2, 11], [6, 3]], 1688923/11236854988800], [[[1, 8], [2, 11], [7, 1]], 17131/832359628800], [[[1, 8], [2, 11], [14, 1]], 5878997/34959104409600], [[[1, 8], [2, 13], [3, 2]], 7943/12842119987200], [[[1, 8], [2, 13], [4, 2]], 4860689929/39553729560576000], [[[1, 8], [2, 13], [5, 1]], 3233/1528823808000], [[[1, 8], [2, 13], [6, 2]], 425683747/9888432390144000], [[[1, 8], [2, 13], [8, 1]], 259291/134536495104000], [[[1, 8], [2, 13], [10, 1]], 606099511/24721080975360000], [[[1, 8], [2, 15], [3, 1]], 60250123/385648863215616000], [[[1, 8], [2, 15], [4, 1]], 746729317/230730089103360000], [[[1, 8], [2, 15], [6, 1]], 1584221/659228826009600], [[[1, 9], [2, 2], [3, 7]], 1/8398080], [[[1, 9], [2, 4], [3, 6]], 709/3224862720], [[[1, 9], [2, 4], [4, 6]], 71/377487360], [[[1, 9], [2, 4], [5, 3]], 16397/2211840000], [[[1, 9], [2, 4], [7, 2]], 44981/4046192640], [[[1, 9], [2, 4], [10, 3]], 1/30965760000], [[[1, 9], [2, 4], [13, 1]], 1507/536739840], [[[1, 9], [2, 4], [14, 2]], 29/4046192640], [[[1, 9], [2, 4], [26, 1]], 43/805109760], [[[1, 9], [2, 6], [3, 5]], 7577/42998169600], [[[1, 9], [2, 6], [4, 5]], 444817/95126814720], [[[1, 9], [2, 6], [6, 5]], 47/401316249600], [[[1, 9], [2, 6], [11, 1]], 30977/11678515200], [[[1, 9], [2, 6], [22, 1]], 4717/18166579200], [[[1, 9], [2, 8], [3, 4]], 81017/1070176665600], [[[1, 9], [2, 8], [4, 4]], 9224267/1141521776640], [[[1, 9], [2, 8], [5, 2]], 848387/1486356480000], [[[1, 9], [2, 8], [6, 4]], 497/55037657088], [[[1, 9], [2, 8], [8, 2]], 1/528482304], [[[1, 9], [2, 8], [10, 2]], 10699/61931520000], [[[1, 9], [2, 8], [16, 1]], 79/1981808640], [[[1, 9], [2, 10], [3, 3]], 31369/2407897497600], [[[1, 9], [2, 10], [4, 3]], 25884841/9988315545600], [[[1, 9], [2, 10], [6, 3]], 1097653/16855282483200], [[[1, 9], [2, 10], [7, 1]], 1246027/17479552204800], [[[1, 9], [2, 10], [14, 1]], 15093619/104877313228800], [[[1, 9], [2, 12], [3, 2]], 323/135895449600], [[[1, 9], [2, 12], [4, 2]], 9828875401/39553729560576000], [[[1, 9], [2, 12], [5, 1]], 15649/2378170368000], [[[1, 9], [2, 12], [6, 2]], 6560597/149824733184000], [[[1, 9], [2, 12], [8, 1]], 318023/85614133248000], [[[1, 9], [2, 12], [10, 1]], 19196159/588597166080000], [[[1, 9], [2, 14], [3, 1]], 873547/1412633198592000], [[[1, 9], [2, 14], [4, 1]], 15589384267/1799694695006208000], [[[1, 9], [2, 14], [6, 1]], 1844076137/385648863215616000], [[[1, 9], [3, 2], [5, 3]], 103/20736000], [[[1, 9], [3, 2], [7, 2]], 1/150528], [[[1, 9], [3, 2], [9, 2]], 1/1632960], [[[1, 9], [3, 2], [13, 1]], 41/21565440], [[[1, 9], [3, 3], [11, 1]], 17/6842880], [[[1, 9], [3, 4], [4, 4]], 1/1146617856], [[[1, 9], [3, 4], [5, 2]], 59/18662400], [[[1, 9], [3, 4], [8, 2]], 1/23887872], [[[1, 9], [3, 5], [7, 1]], 31/39191040], [[[1, 9], [3, 5], [9, 1]], 7/3359232], [[[1, 9], [3, 6], [4, 2]], 1/89579520], [[[1, 9], [3, 6], [5, 1]], 1/2624400], [[[1, 9], [4, 2], [5, 3]], 1/20480000], [[[1, 9], [4, 2], [7, 2]], 1/48168960], [[[1, 9], [4, 2], [13, 1]], 1/19169280], [[[1, 9], [4, 4], [5, 2]], 1/884736000], [[[1, 9], [5, 1], [7, 2]], 3/501760], [[[1, 9], [5, 1], [13, 1]], 1/599040], [[[1, 9], [5, 2], [8, 2]], 1/18432000], [[[1, 9], [7, 1], [11, 1]], 1/295680], [[[1, 10], [2, 1], [3, 7]], 7/75582720], [[[1, 10], [2, 3], [3, 6]], 1199/3224862720], [[[1, 10], [2, 3], [4, 6]], 29/31708938240], [[[1, 10], [2, 3], [5, 3]], 6121/1548288000], [[[1, 10], [2, 3], [7, 2]], 41893/9103933440], [[[1, 10], [2, 3], [13, 1]], 25/40255488], [[[1, 10], [2, 3], [14, 2]], 1/8092385280], [[[1, 10], [2, 3], [26, 1]], 1/1073479680], [[[1, 10], [2, 5], [3, 5]], 12727/28665446400], [[[1, 10], [2, 5], [4, 5]], 383/503316480], [[[1, 10], [2, 5], [11, 1]], 12589/9083289600], [[[1, 10], [2, 5], [22, 1]], 173/10899947520], [[[1, 10], [2, 7], [3, 4]], 1190923/4815794995200], [[[1, 10], [2, 7], [4, 4]], 16225/3567255552], [[[1, 10], [2, 7], [5, 2]], 505697/557383680000], [[[1, 10], [2, 7], [6, 4]], 125/385263599616], [[[1, 10], [2, 7], [8, 2]], 13/3963617280], [[[1, 10], [2, 7], [10, 2]], 41/2322432000], [[[1, 10], [2, 7], [16, 1]], 211/9909043200], [[[1, 10], [2, 9], [3, 3]], 1097653/16855282483200], [[[1, 10], [2, 9], [4, 3]], 25884841/9988315545600], [[[1, 10], [2, 9], [6, 3]], 31369/2407897497600], [[[1, 10], [2, 9], [7, 1]], 15093619/104877313228800], [[[1, 10], [2, 9], [14, 1]], 1246027/17479552204800], [[[1, 10], [2, 11], [3, 2]], 785/85614133248], [[[1, 10], [2, 11], [4, 2]], 58697069/171228266496000], [[[1, 10], [2, 11], [5, 1]], 197069/12485394432000], [[[1, 10], [2, 11], [6, 2]], 4697339/179789679820800], [[[1, 10], [2, 11], [8, 1]], 5123/1056964608000], [[[1, 10], [2, 11], [10, 1]], 4148401/149824733184000], [[[1, 10], [2, 13], [3, 1]], 205523/128421199872000], [[[1, 10], [2, 13], [4, 1]], 100011367/6592288260096000], [[[1, 10], [2, 13], [6, 1]], 179742071/29665297170432000], [[[1, 11], [2, 2], [3, 6]], 259/1074954240], [[[1, 11], [2, 2], [4, 6]], 1/31708938240], [[[1, 11], [2, 2], [5, 3]], 169/172032000], [[[1, 11], [2, 2], [7, 2]], 12857/14566293504], [[[1, 11], [2, 2], [13, 1]], 613/9661317120], [[[1, 11], [2, 4], [3, 5]], 44693/85996339200], [[[1, 11], [2, 4], [4, 5]], 223/5945425920], [[[1, 11], [2, 4], [11, 1]], 10981/27249868800], [[[1, 11], [2, 4], [22, 1]], 1/3633315840], [[[1, 11], [2, 6], [3, 4]], 1976209/4815794995200], [[[1, 11], [2, 6], [4, 4]], 675779/535088332800], [[[1, 11], [2, 6], [5, 2]], 446461/557383680000], [[[1, 11], [2, 6], [6, 4]], 1/642105999360], [[[1, 11], [2, 6], [8, 2]], 7/2831155200], [[[1, 11], [2, 6], [10, 2]], 1/1651507200], [[[1, 11], [2, 6], [16, 1]], 11/1651507200], [[[1, 11], [2, 8], [3, 3]], 1688923/11236854988800], [[[1, 11], [2, 8], [4, 3]], 17789/10569646080], [[[1, 11], [2, 8], [6, 3]], 901/802632499200], [[[1, 11], [2, 8], [7, 1]], 5878997/34959104409600], [[[1, 11], [2, 8], [14, 1]], 17131/832359628800], [[[1, 11], [2, 10], [3, 2]], 4697339/179789679820800], [[[1, 11], [2, 10], [4, 2]], 58697069/171228266496000], [[[1, 11], [2, 10], [5, 1]], 4148401/149824733184000], [[[1, 11], [2, 10], [6, 2]], 785/85614133248], [[[1, 11], [2, 10], [8, 1]], 5123/1056964608000], [[[1, 11], [2, 10], [10, 1]], 197069/12485394432000], [[[1, 11], [2, 12], [3, 1]], 956147/299649466368000], [[[1, 11], [2, 12], [4, 1]], 34734767/1797896798208000], [[[1, 11], [2, 12], [6, 1]], 4611391/898948399104000], [[[1, 11], [3, 1], [5, 3]], 109/414720000], [[[1, 11], [3, 1], [7, 2]], 11/36126720], [[[1, 11], [3, 1], [13, 1]], 337/14491975680], [[[1, 11], [3, 2], [11, 1]], 1/7299072], [[[1, 11], [3, 3], [4, 4]], 1/20065812480], [[[1, 11], [3, 3], [5, 2]], 191/298598400], [[[1, 11], [3, 3], [8, 2]], 1/418037760], [[[1, 11], [3, 4], [7, 1]], 197/627056640], [[[1, 11], [3, 4], [9, 1]], 521/1881169920], [[[1, 11], [3, 5], [4, 2]], 17/2388787200], [[[1, 11], [3, 5], [5, 1]], 49/223948800], [[[1, 11], [4, 2], [11, 1]], 1/324403200], [[[1, 11], [4, 4], [7, 1]], 1/62426972160], [[[1, 11], [5, 1], [11, 1]], 2017/20437401600], [[[1, 11], [5, 2], [7, 1]], 1/3584000], [[[1, 11], [7, 1], [8, 2]], 1/1300561920], [[[1, 12], [2, 1], [3, 6]], 17821/338610585600], [[[1, 12], [2, 1], [5, 3]], 28297/278691840000], [[[1, 12], [2, 1], [7, 2]], 2533/36415733760], [[[1, 12], [2, 1], [13, 1]], 19/7245987840], [[[1, 12], [2, 3], [3, 5]], 269/955514880], [[[1, 12], [2, 3], [4, 5]], 473/356725555200], [[[1, 12], [2, 3], [11, 1]], 2029/32699842560], [[[1, 12], [2, 5], [3, 4]], 116257/321052999680], [[[1, 12], [2, 5], [4, 4]], 880349/5650532794368], [[[1, 12], [2, 5], [5, 2]], 311911/766402560000], [[[1, 12], [2, 5], [8, 2]], 11/13212057600], [[[1, 12], [2, 5], [10, 2]], 1/99090432000], [[[1, 12], [2, 5], [16, 1]], 7/6370099200], [[[1, 12], [2, 7], [3, 3]], 3375613/18059231232000], [[[1, 12], [2, 7], [4, 3]], 1716601/2568423997440], [[[1, 12], [2, 7], [6, 3]], 47/1605264998400], [[[1, 12], [2, 7], [7, 1]], 1311307/11236854988800], [[[1, 12], [2, 7], [14, 1]], 7211/1664719257600], [[[1, 12], [2, 9], [3, 2]], 6560597/149824733184000], [[[1, 12], [2, 9], [4, 2]], 9828875401/39553729560576000], [[[1, 12], [2, 9], [5, 1]], 19196159/588597166080000], [[[1, 12], [2, 9], [6, 2]], 323/135895449600], [[[1, 12], [2, 9], [8, 1]], 318023/85614133248000], [[[1, 12], [2, 9], [10, 1]], 15649/2378170368000], [[[1, 12], [2, 11], [3, 1]], 4611391/898948399104000], [[[1, 12], [2, 11], [4, 1]], 34734767/1797896798208000], [[[1, 12], [2, 11], [6, 1]], 956147/299649466368000], [[[1, 13], [2, 2], [3, 5]], 1333/20065812480], [[[1, 13], [2, 2], [4, 5]], 67/47087773286400], [[[1, 13], [2, 2], [11, 1]], 43/8918138880], [[[1, 13], [2, 4], [3, 4]], 160261/963158999040], [[[1, 13], [2, 4], [4, 4]], 1118351/141263319859200], [[[1, 13], [2, 4], [5, 2]], 22999/201850880000], [[[1, 13], [2, 4], [8, 2]], 7/50960793600], [[[1, 13], [2, 4], [16, 1]], 23/245248819200], [[[1, 13], [2, 6], [3, 3]], 340819/2579890176000], [[[1, 13], [2, 6], [4, 3]], 41626891/282526639718400], [[[1, 13], [2, 6], [7, 1]], 77353/1605264998400], [[[1, 13], [2, 6], [14, 1]], 3181/4994157772800], [[[1, 13], [2, 8], [3, 2]], 425683747/9888432390144000], [[[1, 13], [2, 8], [4, 2]], 4860689929/39553729560576000], [[[1, 13], [2, 8], [5, 1]], 606099511/24721080975360000], [[[1, 13], [2, 8], [6, 2]], 7943/12842119987200], [[[1, 13], [2, 8], [8, 1]], 259291/134536495104000], [[[1, 13], [2, 8], [10, 1]], 3233/1528823808000], [[[1, 13], [2, 10], [3, 1]], 179742071/29665297170432000], [[[1, 13], [2, 10], [4, 1]], 100011367/6592288260096000], [[[1, 13], [2, 10], [6, 1]], 205523/128421199872000], [[[1, 13], [3, 1], [11, 1]], 173/122624409600], [[[1, 13], [3, 2], [4, 4]], 1/1605264998400], [[[1, 13], [3, 2], [5, 2]], 8353/334430208000], [[[1, 13], [3, 2], [8, 2]], 1/33443020800], [[[1, 13], [3, 3], [7, 1]], 7409/421382062080], [[[1, 13], [3, 3], [9, 1]], 1933/300987187200], [[[1, 13], [3, 4], [4, 2]], 13/26754416640], [[[1, 13], [3, 4], [5, 1]], 289/12541132800], [[[1, 13], [4, 2], [5, 2]], 247/2043740160000], [[[1, 13], [4, 4], [5, 1]], 1/4904976384000], [[[1, 13], [5, 1], [8, 2]], 1/102187008000], [[[1, 14], [2, 1], [3, 5]], 10331/1547934105600], [[[1, 14], [2, 1], [4, 5]], 1/47087773286400], [[[1, 14], [2, 1], [11, 1]], 83/490497638400], [[[1, 14], [2, 3], [3, 4]], 1114177/28894769971200], [[[1, 14], [2, 3], [4, 4]], 4517/23543886643200], [[[1, 14], [2, 3], [5, 2]], 41837/2452488192000], [[[1, 14], [2, 3], [8, 2]], 23/1961990553600], [[[1, 14], [2, 3], [16, 1]], 31/7439214182400], [[[1, 14], [2, 5], [3, 3]], 21113/401316249600], [[[1, 14], [2, 5], [4, 3]], 28679809/1713994947624960], [[[1, 14], [2, 5], [7, 1]], 91999/7847962214400], [[[1, 14], [2, 5], [14, 1]], 23/429185433600], [[[1, 14], [2, 7], [3, 2]], 174612287/6886586843136000], [[[1, 14], [2, 7], [4, 2]], 2512127/67268247552000], [[[1, 14], [2, 7], [5, 1]], 5030941/441447874560000], [[[1, 14], [2, 7], [6, 2]], 35507/282526639718400], [[[1, 14], [2, 7], [8, 1]], 51674267/85699747381248000], [[[1, 14], [2, 7], [10, 1]], 15007/33634123776000], [[[1, 14], [2, 9], [3, 1]], 1844076137/385648863215616000], [[[1, 14], [2, 9], [4, 1]], 15589384267/1799694695006208000], [[[1, 14], [2, 9], [6, 1]], 873547/1412633198592000], [[[1, 15], [2, 2], [3, 4]], 471539/105947489894400], [[[1, 15], [2, 2], [4, 4]], 7963/2142493684531200], [[[1, 15], [2, 2], [5, 2]], 547/408748032000], [[[1, 15], [2, 2], [8, 2]], 31/59513713459200], [[[1, 15], [2, 2], [16, 1]], 11/121732595712000], [[[1, 15], [2, 4], [3, 3]], 1850411/158921234841600], [[[1, 15], [2, 4], [4, 3]], 177711949/192824431607808000], [[[1, 15], [2, 4], [7, 1]], 2265383/1363405071974400], [[[1, 15], [2, 4], [14, 1]], 31/13018624819200], [[[1, 15], [2, 6], [3, 2]], 491456971/55092694745088000], [[[1, 15], [2, 6], [4, 2]], 23631107/3570822807552000], [[[1, 15], [2, 6], [5, 1]], 94340789/29215822970880000], [[[1, 15], [2, 6], [6, 2]], 6793/438237344563200], [[[1, 15], [2, 6], [8, 1]], 141785071/1285496210718720000], [[[1, 15], [2, 6], [10, 1]], 74351/1339058552832000], [[[1, 15], [2, 8], [3, 1]], 1584221/659228826009600], [[[1, 15], [2, 8], [4, 1]], 746729317/230730089103360000], [[[1, 15], [2, 8], [6, 1]], 60250123/385648863215616000], [[[1, 15], [3, 1], [4, 4]], 1/459105789542400], [[[1, 15], [3, 1], [5, 2]], 5323/18393661440000], [[[1, 15], [3, 1], [8, 2]], 1/9564703948800], [[[1, 15], [3, 2], [7, 1]], 349/1404606873600], [[[1, 15], [3, 2], [9, 1]], 1567/34432934215680], [[[1, 15], [3, 3], [4, 2]], 1/100329062400], [[[1, 15], [3, 3], [5, 1]], 839/1324343623680], [[[1, 15], [4, 2], [7, 1]], 1/624269721600], [[[1, 15], [5, 1], [7, 1]], 1319/17167417344000], [[[1, 16], [2, 1], [3, 4]], 2932133/12395856317644800], [[[1, 16], [2, 1], [4, 4]], 11/46745316753408000], [[[1, 16], [2, 1], [5, 2]], 937/18393661440000], [[[1, 16], [2, 1], [8, 2]], 11/973860765696000], [[[1, 16], [2, 1], [16, 1]], 1/1339058552832000], [[[1, 16], [2, 3], [3, 3]], 10314329/7230916185292800], [[[1, 16], [2, 3], [4, 3]], 850679/38564886321561600], [[[1, 16], [2, 3], [7, 1]], 5079583/37493639479296000], [[[1, 16], [2, 3], [14, 1]], 11/213032042496000], [[[1, 16], [2, 5], [3, 2]], 17172251/9182115790848000], [[[1, 16], [2, 5], [4, 2]], 229374163/342798989524992000], [[[1, 16], [2, 5], [5, 1]], 89313199/160687026339840000], [[[1, 16], [2, 5], [6, 2]], 4831/4382373445632000], [[[1, 16], [2, 5], [8, 1]], 463187/38954430627840000], [[[1, 16], [2, 5], [10, 1]], 14471/3651977871360000], [[[1, 16], [2, 7], [3, 1]], 1461929941/1928244316078080000], [[[1, 16], [2, 7], [4, 1]], 6817413529/8998473475031040000], [[[1, 16], [2, 7], [6, 1]], 46413431/1928244316078080000], [[[1, 17], [2, 2], [3, 3]], 2491/26486872473600], [[[1, 17], [2, 2], [4, 3]], 779/4080940351488000], [[[1, 17], [2, 2], [7, 1]], 230339/37493639479296000], [[[1, 17], [2, 2], [14, 1]], 1/2343352467456000], [[[1, 17], [2, 4], [3, 2]], 8208841/35058987565056000], [[[1, 17], [2, 4], [4, 2]], 989627/26369153040384000], [[[1, 17], [2, 4], [5, 1]], 18691229/321374052679680000], [[[1, 17], [2, 4], [6, 2]], 701/16068702633984000], [[[1, 17], [2, 4], [8, 1]], 109/144275668992000], [[[1, 17], [2, 4], [10, 1]], 901/5738822369280000], [[[1, 17], [2, 6], [3, 1]], 289951381/1928244316078080000], [[[1, 17], [2, 6], [4, 1]], 519289/4708777328640000], [[[1, 17], [2, 6], [6, 1]], 482099/214249368453120000], [[[1, 17], [3, 1], [7, 1]], 907/803435131699200], [[[1, 17], [3, 1], [9, 1]], 731/12051526975488000], [[[1, 17], [3, 2], [4, 2]], 61/765176315904000], [[[1, 17], [3, 2], [5, 1]], 3547/573882236928000], [[[1, 17], [4, 2], [5, 1]], 137/6695292764160000], [[[1, 17], [4, 2], [12, 1]], 1/4017175658496000], [[[1, 18], [2, 1], [3, 3]], 13339/4338549711175680], [[[1, 18], [2, 1], [4, 3]], 43/19776864780288000], [[[1, 18], [2, 1], [7, 1]], 95647/674885510627328000], [[[1, 18], [2, 3], [3, 2]], 557509/32137405267968000], [[[1, 18], [2, 3], [4, 2]], 222791/205679393714995200], [[[1, 18], [2, 3], [5, 1]], 3919/1071246842265600], [[[1, 18], [2, 3], [6, 2]], 127/144618323705856000], [[[1, 18], [2, 3], [8, 1]], 271/9888432390144000], [[[1, 18], [2, 3], [10, 1]], 127/40171756584960000], [[[1, 18], [2, 5], [3, 1]], 1212077/64274810535936000], [[[1, 18], [2, 5], [4, 1]], 2135209/214249368453120000], [[[1, 18], [2, 5], [6, 1]], 73459/578473294823424000], [[[1, 19], [2, 2], [3, 2]], 13501/18364231581696000], [[[1, 19], [2, 2], [4, 2]], 13367/1028396968574976000], [[[1, 19], [2, 2], [5, 1]], 467/3505898756505600], [[[1, 19], [2, 2], [6, 2]], 1/144618323705856000], [[[1, 19], [2, 2], [8, 1]], 19/36728463163392000], [[[1, 19], [2, 2], [10, 1]], 1/40171756584960000], [[[1, 19], [2, 4], [3, 1]], 26197/17529493782528000], [[[1, 19], [2, 4], [4, 1]], 19351/35058987565056000], [[[1, 19], [2, 4], [6, 1]], 2419/578473294823424000], [[[1, 19], [3, 1], [4, 2]], 1/4284987369062400], [[[1, 19], [3, 1], [5, 1]], 3323/160687026339840000], [[[1, 19], [4, 1], [8, 1]], 1/64274810535936000], [[[1, 20], [2, 1], [3, 2]], 577/35416732336128000], [[[1, 20], [2, 1], [4, 2]], 47/1713994947624960000], [[[1, 20], [2, 1], [5, 1]], 1231/482061079019520000], [[[1, 20], [2, 1], [8, 1]], 1/257099242143744000], [[[1, 20], [2, 3], [3, 1]], 3413/46277863585873920], [[[1, 20], [2, 3], [4, 1]], 397/22037077898035200], [[[1, 20], [2, 3], [6, 1]], 47/642748105359360000], [[[1, 21], [2, 2], [3, 1]], 839/385648863215616000], [[[1, 21], [2, 2], [4, 1]], 331/1051769626951680000], [[[1, 21], [2, 2], [6, 1]], 1/1928244316078080000], [[[1, 22], [2, 1], [3, 1]], 151/4338549711175680000], [[[1, 22], [2, 1], [4, 1]], 1/444979457556480000], [[[2, 5], [4, 2], [10, 4]], 1/480000], [[[2, 5], [4, 4], [10, 3]], 1/18432000], [[[2, 5], [4, 4], [14, 2]], 1/4816896], [[[2, 5], [4, 4], [26, 1]], 1/1916928], [[[2, 5], [6, 4], [18, 2]], 1/5832], [[[2, 5], [6, 4], [26, 1]], 1/101088], [[[2, 5], [8, 2], [10, 3]], 1/384000], [[[2, 5], [8, 2], [14, 2]], 1/100352], [[[2, 5], [8, 2], [26, 1]], 1/39936], [[[2, 7], [4, 4], [6, 5]], 1/716636160], [[[2, 7], [4, 4], [22, 1]], 1/32440320], [[[2, 7], [6, 1], [10, 4]], 1/180000], [[[2, 7], [6, 3], [10, 3]], 1/194400], [[[2, 7], [6, 3], [14, 2]], 1/169344], [[[2, 7], [6, 3], [18, 2]], 1/23328], [[[2, 7], [6, 3], [26, 1]], 7/808704], [[[2, 7], [6, 4], [22, 1]], 1/171072], [[[2, 7], [6, 5], [8, 2]], 1/14929920], [[[2, 7], [6, 5], [10, 2]], 1/2332800], [[[2, 7], [6, 6], [14, 1]], 1/2939328], [[[2, 7], [6, 6], [18, 1]], 7/2099520], [[[2, 7], [8, 2], [22, 1]], 1/675840], [[[2, 7], [10, 2], [22, 1]], 1/422400], [[[2, 7], [10, 3], [14, 1]], 1/168000], [[[2, 7], [14, 1], [26, 1]], 1/17472], [[[2, 9], [4, 2], [6, 6]], 1/89579520], [[[2, 9], [4, 2], [10, 3]], 1/20480000], [[[2, 9], [4, 2], [14, 2]], 1/48168960], [[[2, 9], [4, 2], [26, 1]], 1/19169280], [[[2, 9], [4, 4], [6, 4]], 1/1146617856], [[[2, 9], [4, 4], [10, 2]], 1/884736000], [[[2, 9], [6, 2], [10, 3]], 103/20736000], [[[2, 9], [6, 2], [14, 2]], 1/150528], [[[2, 9], [6, 2], [18, 2]], 1/1632960], [[[2, 9], [6, 2], [26, 1]], 41/21565440], [[[2, 9], [6, 3], [22, 1]], 17/6842880], [[[2, 9], [6, 4], [8, 2]], 1/23887872], [[[2, 9], [6, 4], [10, 2]], 59/18662400], [[[2, 9], [6, 5], [14, 1]], 31/39191040], [[[2, 9], [6, 5], [18, 1]], 7/3359232], [[[2, 9], [6, 6], [10, 1]], 1/2624400], [[[2, 9], [8, 2], [10, 2]], 1/18432000], [[[2, 9], [10, 1], [14, 2]], 3/501760], [[[2, 9], [10, 1], [26, 1]], 1/599040], [[[2, 9], [14, 1], [22, 1]], 1/295680], [[[2, 11], [4, 2], [6, 5]], 17/2388787200], [[[2, 11], [4, 2], [22, 1]], 1/324403200], [[[2, 11], [4, 4], [6, 3]], 1/20065812480], [[[2, 11], [4, 4], [14, 1]], 1/62426972160], [[[2, 11], [6, 1], [10, 3]], 109/414720000], [[[2, 11], [6, 1], [14, 2]], 11/36126720], [[[2, 11], [6, 1], [26, 1]], 337/14491975680], [[[2, 11], [6, 2], [22, 1]], 1/7299072], [[[2, 11], [6, 3], [8, 2]], 1/418037760], [[[2, 11], [6, 3], [10, 2]], 191/298598400], [[[2, 11], [6, 4], [14, 1]], 197/627056640], [[[2, 11], [6, 4], [18, 1]], 521/1881169920], [[[2, 11], [6, 5], [10, 1]], 49/223948800], [[[2, 11], [8, 2], [14, 1]], 1/1300561920], [[[2, 11], [10, 1], [22, 1]], 2017/20437401600], [[[2, 11], [10, 2], [14, 1]], 1/3584000], [[[2, 13], [4, 2], [6, 4]], 13/26754416640], [[[2, 13], [4, 2], [10, 2]], 247/2043740160000], [[[2, 13], [4, 4], [6, 2]], 1/1605264998400], [[[2, 13], [4, 4], [10, 1]], 1/4904976384000], [[[2, 13], [6, 1], [22, 1]], 173/122624409600], [[[2, 13], [6, 2], [8, 2]], 1/33443020800], [[[2, 13], [6, 2], [10, 2]], 8353/334430208000], [[[2, 13], [6, 3], [14, 1]], 7409/421382062080], [[[2, 13], [6, 3], [18, 1]], 1933/300987187200], [[[2, 13], [6, 4], [10, 1]], 289/12541132800], [[[2, 13], [8, 2], [10, 1]], 1/102187008000], [[[2, 15], [4, 2], [6, 3]], 1/100329062400], [[[2, 15], [4, 2], [14, 1]], 1/624269721600], [[[2, 15], [4, 4], [6, 1]], 1/459105789542400], [[[2, 15], [6, 1], [8, 2]], 1/9564703948800], [[[2, 15], [6, 1], [10, 2]], 5323/18393661440000], [[[2, 15], [6, 2], [14, 1]], 349/1404606873600], [[[2, 15], [6, 2], [18, 1]], 1567/34432934215680], [[[2, 15], [6, 3], [10, 1]], 839/1324343623680], [[[2, 15], [10, 1], [14, 1]], 1319/17167417344000], [[[2, 17], [4, 2], [6, 2]], 61/765176315904000], [[[2, 17], [4, 2], [10, 1]], 137/6695292764160000], [[[2, 17], [4, 2], [12, 1]], 1/4017175658496000], [[[2, 17], [6, 1], [14, 1]], 907/803435131699200], [[[2, 17], [6, 1], [18, 1]], 731/12051526975488000], [[[2, 17], [6, 2], [10, 1]], 3547/573882236928000], [[[2, 19], [4, 1], [8, 1]], 1/64274810535936000], [[[2, 19], [4, 2], [6, 1]], 1/4284987369062400], [[[2, 19], [6, 1], [10, 1]], 3323/160687026339840000], [[[1, 1], [2, 4], [4, 2], [10, 4]], 1/480000], [[[1, 1], [2, 4], [4, 4], [8, 3]], 1/131072], [[[1, 1], [2, 4], [4, 4], [10, 3]], 1/18432000], [[[1, 1], [2, 4], [4, 4], [14, 2]], 1/2408448], [[[1, 1], [2, 4], [4, 4], [26, 1]], 1/479232], [[[1, 1], [2, 4], [4, 5], [22, 1]], 1/1081344], [[[1, 1], [2, 4], [6, 4], [18, 2]], 1/5832], [[[1, 1], [2, 4], [6, 4], [26, 1]], 1/101088], [[[1, 1], [2, 4], [8, 2], [10, 3]], 1/384000], [[[1, 1], [2, 4], [8, 2], [14, 2]], 1/50176], [[[1, 1], [2, 4], [8, 2], [26, 1]], 1/9984], [[[1, 1], [2, 4], [10, 3], [16, 1]], 1/48000], [[[1, 1], [2, 4], [14, 2], [16, 1]], 1/12544], [[[1, 1], [2, 4], [16, 1], [26, 1]], 1/4992], [[[1, 1], [2, 6], [4, 1], [10, 4]], 1/80000], [[[1, 1], [2, 6], [4, 3], [10, 3]], 49/9216000], [[[1, 1], [2, 6], [4, 3], [14, 2]], 13/2408448], [[[1, 1], [2, 6], [4, 3], [26, 1]], 1/73728], [[[1, 1], [2, 6], [4, 4], [6, 5]], 1/716636160], [[[1, 1], [2, 6], [4, 4], [22, 1]], 1/2949120], [[[1, 1], [2, 6], [4, 5], [6, 4]], 1/191102976], [[[1, 1], [2, 6], [4, 5], [8, 2]], 1/4718592], [[[1, 1], [2, 6], [4, 5], [10, 2]], 1/9830400], [[[1, 1], [2, 6], [6, 1], [10, 4]], 1/180000], [[[1, 1], [2, 6], [6, 3], [10, 3]], 1/194400], [[[1, 1], [2, 6], [6, 3], [14, 2]], 1/63504], [[[1, 1], [2, 6], [6, 3], [18, 2]], 7/23328], [[[1, 1], [2, 6], [6, 3], [26, 1]], 37/808704], [[[1, 1], [2, 6], [6, 4], [22, 1]], 1/85536], [[[1, 1], [2, 6], [6, 5], [8, 2]], 1/14929920], [[[1, 1], [2, 6], [6, 5], [10, 2]], 1/2332800], [[[1, 1], [2, 6], [6, 5], [16, 1]], 1/1866240], [[[1, 1], [2, 6], [6, 6], [14, 1]], 1/2939328], [[[1, 1], [2, 6], [6, 6], [18, 1]], 7/2099520], [[[1, 1], [2, 6], [7, 1], [14, 2]], 1/6272], [[[1, 1], [2, 6], [8, 2], [22, 1]], 1/61440], [[[1, 1], [2, 6], [10, 2], [22, 1]], 13/422400], [[[1, 1], [2, 6], [10, 3], [14, 1]], 1/56000], [[[1, 1], [2, 6], [14, 1], [26, 1]], 1/2912], [[[1, 1], [2, 6], [16, 1], [22, 1]], 1/84480], [[[1, 1], [2, 8], [3, 1], [6, 7]], 1/1574640], [[[1, 1], [2, 8], [4, 1], [6, 7]], 1/12597120], [[[1, 1], [2, 8], [4, 2], [6, 6]], 1/29859840], [[[1, 1], [2, 8], [4, 2], [8, 3]], 1/7864320], [[[1, 1], [2, 8], [4, 2], [10, 3]], 149/184320000], [[[1, 1], [2, 8], [4, 2], [14, 2]], 11/24084480], [[[1, 1], [2, 8], [4, 2], [26, 1]], 1/798720], [[[1, 1], [2, 8], [4, 3], [6, 5]], 7/89579520], [[[1, 1], [2, 8], [4, 3], [22, 1]], 29/32440320], [[[1, 1], [2, 8], [4, 4], [6, 4]], 7/1146617856], [[[1, 1], [2, 8], [4, 4], [10, 2]], 1/55296000], [[[1, 1], [2, 8], [4, 5], [6, 3]], 1/95551488], [[[1, 1], [2, 8], [4, 5], [14, 1]], 1/82575360], [[[1, 1], [2, 8], [5, 1], [10, 3]], 1/384000], [[[1, 1], [2, 8], [6, 2], [10, 3]], 451/20736000], [[[1, 1], [2, 8], [6, 2], [14, 2]], 1/24192], [[[1, 1], [2, 8], [6, 2], [18, 2]], 11/816480], [[[1, 1], [2, 8], [6, 2], [26, 1]], 431/21565440], [[[1, 1], [2, 8], [6, 3], [22, 1]], 71/3421440], [[[1, 1], [2, 8], [6, 4], [8, 2]], 7/23887872], [[[1, 1], [2, 8], [6, 4], [10, 2]], 149/18662400], [[[1, 1], [2, 8], [6, 4], [16, 1]], 1/2985984], [[[1, 1], [2, 8], [6, 5], [14, 1]], 19/5598720], [[[1, 1], [2, 8], [6, 5], [18, 1]], 49/3359232], [[[1, 1], [2, 8], [6, 6], [8, 1]], 1/11197440], [[[1, 1], [2, 8], [6, 6], [10, 1]], 13/20995200], [[[1, 1], [2, 8], [8, 1], [10, 3]], 1/9216000], [[[1, 1], [2, 8], [8, 1], [14, 2]], 1/2408448], [[[1, 1], [2, 8], [8, 1], [26, 1]], 1/958464], [[[1, 1], [2, 8], [8, 2], [10, 2]], 1/1152000], [[[1, 1], [2, 8], [10, 1], [14, 2]], 43/752640], [[[1, 1], [2, 8], [10, 1], [26, 1]], 1/37440], [[[1, 1], [2, 8], [10, 2], [16, 1]], 1/2304000], [[[1, 1], [2, 8], [14, 1], [22, 1]], 13/295680], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/2099520], [[[1, 1], [2, 10], [4, 1], [6, 6]], 19/100776960], [[[1, 1], [2, 10], [4, 1], [8, 3]], 1/165150720], [[[1, 1], [2, 10], [4, 1], [10, 3]], 337/552960000], [[[1, 1], [2, 10], [4, 1], [14, 2]], 41/28901376], [[[1, 1], [2, 10], [4, 1], [26, 1]], 1/4423680], [[[1, 1], [2, 10], [4, 2], [6, 5]], 157/2388787200], [[[1, 1], [2, 10], [4, 2], [22, 1]], 31/324403200], [[[1, 1], [2, 10], [4, 3], [6, 4]], 613/5733089280], [[[1, 1], [2, 10], [4, 3], [8, 2]], 1/660602880], [[[1, 1], [2, 10], [4, 3], [10, 2]], 341/6193152000], [[[1, 1], [2, 10], [4, 4], [6, 3]], 11/10032906240], [[[1, 1], [2, 10], [4, 4], [14, 1]], 37/62426972160], [[[1, 1], [2, 10], [4, 5], [6, 2]], 1/1274019840], [[[1, 1], [2, 10], [4, 5], [8, 1]], 1/7927234560], [[[1, 1], [2, 10], [4, 5], [10, 1]], 1/2477260800], [[[1, 1], [2, 10], [6, 1], [10, 3]], 1759/414720000], [[[1, 1], [2, 10], [6, 1], [14, 2]], 19/3386880], [[[1, 1], [2, 10], [6, 1], [26, 1]], 11497/14491975680], [[[1, 1], [2, 10], [6, 2], [22, 1]], 5/1824768], [[[1, 1], [2, 10], [6, 3], [8, 2]], 11/209018880], [[[1, 1], [2, 10], [6, 3], [10, 2]], 2153/298598400], [[[1, 1], [2, 10], [6, 3], [16, 1]], 1/52254720], [[[1, 1], [2, 10], [6, 4], [14, 1]], 2027/627056640], [[[1, 1], [2, 10], [6, 4], [18, 1]], 7871/1881169920], [[[1, 1], [2, 10], [6, 5], [8, 1]], 7/119439360], [[[1, 1], [2, 10], [6, 5], [10, 1]], 401/223948800], [[[1, 1], [2, 10], [8, 1], [22, 1]], 1/16220160], [[[1, 1], [2, 10], [8, 2], [14, 1]], 37/1300561920], [[[1, 1], [2, 10], [10, 1], [22, 1]], 46441/20437401600], [[[1, 1], [2, 10], [10, 2], [14, 1]], 167/32256000], [[[1, 1], [2, 10], [14, 1], [16, 1]], 1/162570240], [[[1, 1], [2, 12], [3, 1], [6, 5]], 67/752467968], [[[1, 1], [2, 12], [4, 1], [6, 5]], 5953/75246796800], [[[1, 1], [2, 12], [4, 1], [22, 1]], 1097/81749606400], [[[1, 1], [2, 12], [4, 2], [6, 4]], 319/26754416640], [[[1, 1], [2, 12], [4, 2], [8, 2]], 1/990904320], [[[1, 1], [2, 12], [4, 2], [10, 2]], 329/72990720000], [[[1, 1], [2, 12], [4, 3], [6, 3]], 173/20065812480], [[[1, 1], [2, 12], [4, 3], [14, 1]], 127/78033715200], [[[1, 1], [2, 12], [4, 4], [6, 2]], 23/802632499200], [[[1, 1], [2, 12], [4, 4], [10, 1]], 1/87588864000], [[[1, 1], [2, 12], [4, 5], [6, 1]], 1/107017666560], [[[1, 1], [2, 12], [5, 1], [10, 2]], 337/18579456000], [[[1, 1], [2, 12], [6, 1], [22, 1]], 3629/61312204800], [[[1, 1], [2, 12], [6, 2], [8, 2]], 23/16721510400], [[[1, 1], [2, 12], [6, 2], [10, 2]], 212041/334430208000], [[[1, 1], [2, 12], [6, 2], [16, 1]], 1/4180377600], [[[1, 1], [2, 12], [6, 3], [14, 1]], 180713/421382062080], [[[1, 1], [2, 12], [6, 3], [18, 1]], 64213/300987187200], [[[1, 1], [2, 12], [6, 4], [8, 1]], 11/2229534720], [[[1, 1], [2, 12], [6, 4], [10, 1]], 5609/12541132800], [[[1, 1], [2, 12], [7, 1], [14, 1]], 1/10404495360], [[[1, 1], [2, 12], [8, 1], [10, 2]], 1/442368000], [[[1, 1], [2, 12], [8, 2], [10, 1]], 1/1824768000], [[[1, 1], [2, 12], [10, 1], [16, 1]], 1/12773376000], [[[1, 1], [2, 14], [3, 1], [6, 4]], 6289/1805923123200], [[[1, 1], [2, 14], [4, 1], [6, 4]], 11551/2063912140800], [[[1, 1], [2, 14], [4, 1], [8, 2]], 1/980995276800], [[[1, 1], [2, 14], [4, 1], [10, 2]], 1667/908328960000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 1/2229534720], [[[1, 1], [2, 14], [4, 2], [14, 1]], 19/208089907200], [[[1, 1], [2, 14], [4, 3], [6, 2]], 17/100329062400], [[[1, 1], [2, 14], [4, 3], [8, 1]], 1/79272345600], [[[1, 1], [2, 14], [4, 3], [10, 1]], 19/408748032000], [[[1, 1], [2, 14], [4, 3], [12, 1]], 1/367873228800], [[[1, 1], [2, 14], [4, 4], [6, 1]], 79/459105789542400], [[[1, 1], [2, 14], [6, 1], [8, 2]], 79/9564703948800], [[[1, 1], [2, 14], [6, 1], [10, 2]], 57637/4598415360000], [[[1, 1], [2, 14], [6, 1], [16, 1]], 1/1195587993600], [[[1, 1], [2, 14], [6, 2], [14, 1]], 577/50164531200], [[[1, 1], [2, 14], [6, 2], [18, 1]], 433637/172164671078400], [[[1, 1], [2, 14], [6, 3], [8, 1]], 1/7166361600], [[[1, 1], [2, 14], [6, 3], [10, 1]], 11269/472979865600], [[[1, 1], [2, 14], [8, 1], [14, 1]], 1/31213486080], [[[1, 1], [2, 14], [10, 1], [14, 1]], 69737/17167417344000], [[[1, 1], [2, 16], [3, 1], [4, 3]], 1/96412215803904000], [[[1, 1], [2, 16], [3, 1], [6, 3]], 4061/98379812044800], [[[1, 1], [2, 16], [4, 1], [6, 3]], 117659/1032988026470400], [[[1, 1], [2, 16], [4, 1], [7, 1]], 1/2343352467456000], [[[1, 1], [2, 16], [4, 1], [14, 1]], 83/8240360325120], [[[1, 1], [2, 16], [4, 2], [6, 2]], 2113/382588157952000], [[[1, 1], [2, 16], [4, 2], [8, 1]], 331/1947721531392000], [[[1, 1], [2, 16], [4, 2], [10, 1]], 20869/13390585528320000], [[[1, 1], [2, 16], [4, 2], [12, 1]], 11/365197787136000], [[[1, 1], [2, 16], [4, 3], [6, 1]], 41/35315829964800], [[[1, 1], [2, 16], [5, 1], [8, 1]], 1/3347646382080000], [[[1, 1], [2, 16], [5, 1], [10, 1]], 1/2675441664000], [[[1, 1], [2, 16], [6, 1], [14, 1]], 3323/40171756584960], [[[1, 1], [2, 16], [6, 1], [18, 1]], 449/78256668672000], [[[1, 1], [2, 16], [6, 2], [8, 1]], 53/38258815795200], [[[1, 1], [2, 16], [6, 2], [10, 1]], 2797/7453016064000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 1/2452488192000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 769/4820610790195200], [[[1, 1], [2, 18], [3, 1], [8, 1]], 1/16068702633984000], [[[1, 1], [2, 18], [4, 1], [5, 1]], 1/13390585528320000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 17239/19282443160780800], [[[1, 1], [2, 18], [4, 1], [8, 1]], 569/51419848428748800], [[[1, 1], [2, 18], [4, 1], [10, 1]], 4913/26781171056640000], [[[1, 1], [2, 18], [4, 1], [12, 1]], 1/8034351316992000], [[[1, 1], [2, 18], [4, 2], [6, 1]], 503/21424936845312000], [[[1, 1], [2, 18], [6, 1], [8, 1]], 1/223176425472000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 303223/160687026339840000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 1/385648863215616000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 191/1156946589646848000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 2983/1156946589646848000], [[[1, 2], [2, 3], [4, 2], [8, 4]], 1/32768], [[[1, 2], [2, 3], [4, 4], [8, 3]], 1/131072], [[[1, 2], [2, 3], [4, 4], [14, 2]], 1/4816896], [[[1, 2], [2, 3], [4, 4], [26, 1]], 1/638976], [[[1, 2], [2, 3], [4, 5], [22, 1]], 1/1081344], [[[1, 2], [2, 3], [4, 6], [8, 2]], 1/1572864], [[[1, 2], [2, 3], [7, 2], [16, 1]], 1/12544], [[[1, 2], [2, 3], [8, 2], [14, 2]], 1/100352], [[[1, 2], [2, 3], [8, 2], [26, 1]], 1/13312], [[[1, 2], [2, 3], [10, 3], [16, 1]], 1/48000], [[[1, 2], [2, 3], [13, 1], [16, 1]], 1/1664], [[[1, 2], [2, 3], [14, 2], [16, 1]], 1/6272], [[[1, 2], [2, 3], [16, 1], [26, 1]], 1/1248], [[[1, 2], [2, 5], [3, 1], [10, 4]], 1/180000], [[[1, 2], [2, 5], [4, 1], [10, 4]], 1/80000], [[[1, 2], [2, 5], [4, 3], [7, 2]], 1/7225344], [[[1, 2], [2, 5], [4, 3], [8, 3]], 1/24576], [[[1, 2], [2, 5], [4, 3], [10, 3]], 29/3072000], [[[1, 2], [2, 5], [4, 3], [13, 1]], 1/958464], [[[1, 2], [2, 5], [4, 3], [14, 2]], 1/86016], [[[1, 2], [2, 5], [4, 3], [26, 1]], 3/53248], [[[1, 2], [2, 5], [4, 4], [11, 1]], 1/1622016], [[[1, 2], [2, 5], [4, 4], [22, 1]], 161/6488064], [[[1, 2], [2, 5], [4, 5], [6, 4]], 1/191102976], [[[1, 2], [2, 5], [4, 5], [8, 2]], 25/4718592], [[[1, 2], [2, 5], [4, 5], [10, 2]], 1/4915200], [[[1, 2], [2, 5], [4, 6], [14, 1]], 1/5505024], [[[1, 2], [2, 5], [5, 2], [11, 1]], 1/422400], [[[1, 2], [2, 5], [6, 3], [14, 2]], 1/72576], [[[1, 2], [2, 5], [6, 3], [18, 2]], 1/2592], [[[1, 2], [2, 5], [6, 3], [26, 1]], 1/20736], [[[1, 2], [2, 5], [6, 4], [22, 1]], 1/171072], [[[1, 2], [2, 5], [6, 5], [16, 1]], 1/1866240], [[[1, 2], [2, 5], [7, 1], [10, 3]], 1/84000], [[[1, 2], [2, 5], [7, 1], [14, 2]], 11/10976], [[[1, 2], [2, 5], [7, 1], [26, 1]], 1/8736], [[[1, 2], [2, 5], [7, 2], [14, 1]], 1/6272], [[[1, 2], [2, 5], [8, 2], [22, 1]], 5/135168], [[[1, 2], [2, 5], [10, 2], [22, 1]], 1/14080], [[[1, 2], [2, 5], [10, 3], [14, 1]], 1/56000], [[[1, 2], [2, 5], [14, 1], [26, 1]], 1/1456], [[[1, 2], [2, 5], [16, 1], [22, 1]], 1/7680], [[[1, 2], [2, 7], [3, 1], [6, 7]], 1/1574640], [[[1, 2], [2, 7], [3, 2], [6, 6]], 113/12597120], [[[1, 2], [2, 7], [3, 2], [10, 3]], 1/5184000], [[[1, 2], [2, 7], [3, 2], [13, 1]], 1/21565440], [[[1, 2], [2, 7], [3, 2], [14, 2]], 1/1354752], [[[1, 2], [2, 7], [3, 2], [26, 1]], 1/539136], [[[1, 2], [2, 7], [4, 1], [6, 7]], 1/12597120], [[[1, 2], [2, 7], [4, 2], [6, 6]], 13/89579520], [[[1, 2], [2, 7], [4, 2], [8, 3]], 41/7864320], [[[1, 2], [2, 7], [4, 2], [10, 3]], 187/6144000], [[[1, 2], [2, 7], [4, 2], [14, 2]], 597/16056320], [[[1, 2], [2, 7], [4, 2], [26, 1]], 97/2129920], [[[1, 2], [2, 7], [4, 3], [6, 5]], 1/5971968], [[[1, 2], [2, 7], [4, 3], [22, 1]], 353/32440320], [[[1, 2], [2, 7], [4, 4], [6, 4]], 55/382205952], [[[1, 2], [2, 7], [4, 4], [8, 2]], 43/15728640], [[[1, 2], [2, 7], [4, 4], [10, 2]], 1/230400], [[[1, 2], [2, 7], [4, 5], [6, 3]], 1/23887872], [[[1, 2], [2, 7], [4, 5], [14, 1]], 11/82575360], [[[1, 2], [2, 7], [4, 6], [6, 2]], 1/28311552], [[[1, 2], [2, 7], [4, 6], [8, 1]], 1/6291456], [[[1, 2], [2, 7], [4, 6], [10, 1]], 1/23592960], [[[1, 2], [2, 7], [5, 1], [6, 6]], 1/6998400], [[[1, 2], [2, 7], [5, 1], [10, 3]], 199/5760000], [[[1, 2], [2, 7], [5, 1], [14, 2]], 1/376320], [[[1, 2], [2, 7], [5, 1], [26, 1]], 1/149760], [[[1, 2], [2, 7], [6, 2], [10, 3]], 23/1152000], [[[1, 2], [2, 7], [6, 2], [14, 2]], 1/12096], [[[1, 2], [2, 7], [6, 2], [18, 2]], 1/12960], [[[1, 2], [2, 7], [6, 2], [26, 1]], 95/1437696], [[[1, 2], [2, 7], [6, 3], [22, 1]], 29/684288], [[[1, 2], [2, 7], [6, 4], [8, 2]], 1/2654208], [[[1, 2], [2, 7], [6, 4], [10, 2]], 11/2073600], [[[1, 2], [2, 7], [6, 4], [16, 1]], 7/2985984], [[[1, 2], [2, 7], [6, 5], [7, 1]], 1/3265920], [[[1, 2], [2, 7], [6, 5], [14, 1]], 41/13063680], [[[1, 2], [2, 7], [6, 5], [18, 1]], 7/373248], [[[1, 2], [2, 7], [6, 6], [8, 1]], 1/11197440], [[[1, 2], [2, 7], [6, 6], [10, 1]], 1/4199040], [[[1, 2], [2, 7], [7, 1], [22, 1]], 1/147840], [[[1, 2], [2, 7], [7, 2], [8, 1]], 1/12042240], [[[1, 2], [2, 7], [8, 1], [10, 3]], 13/9216000], [[[1, 2], [2, 7], [8, 1], [13, 1]], 1/1597440], [[[1, 2], [2, 7], [8, 1], [14, 2]], 1/172032], [[[1, 2], [2, 7], [8, 1], [26, 1]], 1/59904], [[[1, 2], [2, 7], [8, 2], [10, 2]], 1/307200], [[[1, 2], [2, 7], [10, 1], [14, 2]], 47/301056], [[[1, 2], [2, 7], [10, 1], [26, 1]], 23/199680], [[[1, 2], [2, 7], [10, 2], [16, 1]], 1/144000], [[[1, 2], [2, 7], [14, 1], [22, 1]], 1/6160], [[[1, 2], [2, 9], [3, 1], [6, 6]], 113/33592320], [[[1, 2], [2, 9], [3, 1], [10, 3]], 1/7680000], [[[1, 2], [2, 9], [3, 1], [13, 1]], 1/1610219520], [[[1, 2], [2, 9], [3, 1], [14, 2]], 1/18063360], [[[1, 2], [2, 9], [3, 1], [26, 1]], 1/7188480], [[[1, 2], [2, 9], [3, 2], [6, 5]], 151/33592320], [[[1, 2], [2, 9], [3, 2], [22, 1]], 1/9123840], [[[1, 2], [2, 9], [4, 1], [6, 6]], 17/20155392], [[[1, 2], [2, 9], [4, 1], [7, 2]], 1/1011548160], [[[1, 2], [2, 9], [4, 1], [8, 3]], 29/165150720], [[[1, 2], [2, 9], [4, 1], [10, 3]], 5107/552960000], [[[1, 2], [2, 9], [4, 1], [13, 1]], 1/134184960], [[[1, 2], [2, 9], [4, 1], [14, 2]], 349/18063360], [[[1, 2], [2, 9], [4, 1], [26, 1]], 161/28753920], [[[1, 2], [2, 9], [4, 2], [6, 5]], 247/238878720], [[[1, 2], [2, 9], [4, 2], [11, 1]], 1/227082240], [[[1, 2], [2, 9], [4, 2], [22, 1]], 233/64880640], [[[1, 2], [2, 9], [4, 3], [6, 4]], 1291/1911029760], [[[1, 2], [2, 9], [4, 3], [8, 2]], 367/660602880], [[[1, 2], [2, 9], [4, 3], [10, 2]], 1073/1032192000], [[[1, 2], [2, 9], [4, 4], [6, 3]], 67/119439360], [[[1, 2], [2, 9], [4, 4], [14, 1]], 589/1734082560], [[[1, 2], [2, 9], [4, 5], [6, 2]], 1/79626240], [[[1, 2], [2, 9], [4, 5], [8, 1]], 29/7927234560], [[[1, 2], [2, 9], [4, 5], [10, 1]], 11/1238630400], [[[1, 2], [2, 9], [4, 6], [6, 1]], 1/283115520], [[[1, 2], [2, 9], [5, 1], [6, 5]], 1/9331200], [[[1, 2], [2, 9], [5, 1], [11, 1]], 1/2270822400], [[[1, 2], [2, 9], [5, 1], [22, 1]], 1/2534400], [[[1, 2], [2, 9], [6, 1], [10, 3]], 161/9216000], [[[1, 2], [2, 9], [6, 1], [14, 2]], 101/3386880], [[[1, 2], [2, 9], [6, 1], [26, 1]], 3013/402554880], [[[1, 2], [2, 9], [6, 2], [22, 1]], 79/4561920], [[[1, 2], [2, 9], [6, 3], [8, 2]], 1/3317760], [[[1, 2], [2, 9], [6, 3], [10, 2]], 631/33177600], [[[1, 2], [2, 9], [6, 3], [16, 1]], 11/26127360], [[[1, 2], [2, 9], [6, 4], [7, 1]], 1/5225472], [[[1, 2], [2, 9], [6, 4], [14, 1]], 415/41803776], [[[1, 2], [2, 9], [6, 4], [18, 1]], 119/5971968], [[[1, 2], [2, 9], [6, 5], [8, 1]], 17/39813120], [[[1, 2], [2, 9], [6, 5], [10, 1]], 73/22394880], [[[1, 2], [2, 9], [7, 1], [10, 2]], 1/4032000], [[[1, 2], [2, 9], [8, 1], [22, 1]], 23/16220160], [[[1, 2], [2, 9], [8, 2], [14, 1]], 23/72253440], [[[1, 2], [2, 9], [10, 1], [22, 1]], 179/10321920], [[[1, 2], [2, 9], [10, 2], [14, 1]], 103/3584000], [[[1, 2], [2, 9], [14, 1], [16, 1]], 37/162570240], [[[1, 2], [2, 11], [3, 1], [6, 5]], 12461/9405849600], [[[1, 2], [2, 11], [3, 1], [22, 1]], 1/121651200], [[[1, 2], [2, 11], [3, 2], [6, 4]], 3823/7524679680], [[[1, 2], [2, 11], [3, 2], [10, 2]], 1/248832000], [[[1, 2], [2, 11], [4, 1], [6, 5]], 63703/75246796800], [[[1, 2], [2, 11], [4, 1], [22, 1]], 3187/7431782400], [[[1, 2], [2, 11], [4, 2], [6, 4]], 2137/2972712960], [[[1, 2], [2, 11], [4, 2], [8, 2]], 2033/23781703680], [[[1, 2], [2, 11], [4, 2], [10, 2]], 1919/4644864000], [[[1, 2], [2, 11], [4, 3], [6, 3]], 31/185794560], [[[1, 2], [2, 11], [4, 3], [14, 1]], 197/3715891200], [[[1, 2], [2, 11], [4, 4], [6, 2]], 1877/35672555520], [[[1, 2], [2, 11], [4, 4], [8, 1]], 37/3963617280], [[[1, 2], [2, 11], [4, 4], [10, 1]], 1441/89181388800], [[[1, 2], [2, 11], [4, 4], [12, 1]], 1/247726080], [[[1, 2], [2, 11], [4, 5], [6, 1]], 37/107017666560], [[[1, 2], [2, 11], [5, 1], [6, 4]], 17/1045094400], [[[1, 2], [2, 11], [5, 1], [10, 2]], 48749/92897280000], [[[1, 2], [2, 11], [6, 1], [22, 1]], 20173/24524881920], [[[1, 2], [2, 11], [6, 2], [8, 2]], 1/49545216], [[[1, 2], [2, 11], [6, 2], [10, 2]], 15583/3096576000], [[[1, 2], [2, 11], [6, 2], [16, 1]], 23/2090188800], [[[1, 2], [2, 11], [6, 3], [7, 1]], 1/91445760], [[[1, 2], [2, 11], [6, 3], [14, 1]], 5491/1672151040], [[[1, 2], [2, 11], [6, 3], [18, 1]], 1283/557383680], [[[1, 2], [2, 11], [6, 4], [8, 1]], 691/6688604160], [[[1, 2], [2, 11], [6, 4], [10, 1]], 4747/1791590400], [[[1, 2], [2, 11], [7, 1], [14, 1]], 31/2697461760], [[[1, 2], [2, 11], [8, 1], [10, 2]], 7/110592000], [[[1, 2], [2, 11], [8, 2], [10, 1]], 19/1857945600], [[[1, 2], [2, 11], [10, 1], [16, 1]], 1/228096000], [[[1, 2], [2, 13], [3, 1], [4, 4]], 1/8828957491200], [[[1, 2], [2, 13], [3, 1], [6, 4]], 194029/1805923123200], [[[1, 2], [2, 13], [3, 1], [10, 2]], 247/766402560000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 40241/3611846246400], [[[1, 2], [2, 13], [3, 2], [14, 1]], 1/17557585920], [[[1, 2], [2, 13], [4, 1], [6, 4]], 1984177/14447384985600], [[[1, 2], [2, 13], [4, 1], [8, 2]], 629/1961990553600], [[[1, 2], [2, 13], [4, 1], [10, 2]], 265919/4087480320000], [[[1, 2], [2, 13], [4, 1], [16, 1]], 1/122624409600], [[[1, 2], [2, 13], [4, 2], [6, 3]], 11849/200658124800], [[[1, 2], [2, 13], [4, 2], [7, 1]], 1/214592716800], [[[1, 2], [2, 13], [4, 2], [14, 1]], 197/16647192576], [[[1, 2], [2, 13], [4, 3], [6, 2]], 31/4777574400], [[[1, 2], [2, 13], [4, 3], [8, 1]], 1367/1569592442880], [[[1, 2], [2, 13], [4, 3], [10, 1]], 31/15138816000], [[[1, 2], [2, 13], [4, 3], [12, 1]], 67/367873228800], [[[1, 2], [2, 13], [4, 4], [6, 1]], 287/336341237760], [[[1, 2], [2, 13], [5, 1], [6, 3]], 11/15676416000], [[[1, 2], [2, 13], [5, 1], [14, 1]], 1/4877107200], [[[1, 2], [2, 13], [6, 1], [8, 2]], 19/81749606400], [[[1, 2], [2, 13], [6, 1], [10, 2]], 7219/37158912000], [[[1, 2], [2, 13], [6, 1], [16, 1]], 79/1195587993600], [[[1, 2], [2, 13], [6, 2], [7, 1]], 1/7315660800], [[[1, 2], [2, 13], [6, 2], [14, 1]], 12263/66886041600], [[[1, 2], [2, 13], [6, 2], [18, 1]], 75011/1471492915200], [[[1, 2], [2, 13], [6, 3], [8, 1]], 131/25082265600], [[[1, 2], [2, 13], [6, 3], [10, 1]], 26171/85996339200], [[[1, 2], [2, 13], [7, 1], [10, 1]], 1/22353408000], [[[1, 2], [2, 13], [8, 1], [14, 1]], 1/637009920], [[[1, 2], [2, 13], [10, 1], [14, 1]], 442969/5722472448000], [[[1, 2], [2, 15], [3, 1], [4, 3]], 11/8764746891264000], [[[1, 2], [2, 15], [3, 1], [6, 3]], 20303/9182115790848], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/234101145600], [[[1, 2], [2, 15], [3, 2], [6, 2]], 8599/196759624089600], [[[1, 2], [2, 15], [3, 2], [10, 1]], 1/1379524608000], [[[1, 2], [2, 15], [4, 1], [6, 3]], 266323/51649401323520], [[[1, 2], [2, 15], [4, 1], [7, 1]], 11/213032042496000], [[[1, 2], [2, 15], [4, 1], [14, 1]], 5177/8240360325120], [[[1, 2], [2, 15], [4, 2], [5, 1]], 1/1226244096000], [[[1, 2], [2, 15], [4, 2], [6, 2]], 352277/306070526361600], [[[1, 2], [2, 15], [4, 2], [8, 1]], 76673/973860765696000], [[[1, 2], [2, 15], [4, 2], [10, 1]], 614539/1785411403776000], [[[1, 2], [2, 15], [4, 2], [12, 1]], 23/8369115955200], [[[1, 2], [2, 15], [4, 3], [6, 1]], 10631/153035263180800], [[[1, 2], [2, 15], [5, 1], [6, 2]], 7/853991424000], [[[1, 2], [2, 15], [5, 1], [8, 1]], 11/304331489280000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 653/18393661440000], [[[1, 2], [2, 15], [6, 1], [7, 1]], 1/2092278988800], [[[1, 2], [2, 15], [6, 1], [14, 1]], 152941/66952927641600], [[[1, 2], [2, 15], [6, 1], [18, 1]], 1075/5356234211328], [[[1, 2], [2, 15], [6, 2], [8, 1]], 59/708496588800], [[[1, 2], [2, 15], [6, 2], [10, 1]], 33977/4013162496000], [[[1, 2], [2, 15], [8, 1], [10, 1]], 17/613122048000], [[[1, 2], [2, 17], [3, 1], [4, 2]], 61/2142493684531200], [[[1, 2], [2, 17], [3, 1], [5, 1]], 1/5021469573120000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 160327/12051526975488000], [[[1, 2], [2, 17], [3, 1], [8, 1]], 41/5356234211328000], [[[1, 2], [2, 17], [3, 1], [10, 1]], 137/2510734786560000], [[[1, 2], [2, 17], [3, 2], [6, 1]], 47/6025763487744000], [[[1, 2], [2, 17], [4, 1], [5, 1]], 41/4463528509440000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 60323/964122158039040], [[[1, 2], [2, 17], [4, 1], [8, 1]], 7079/6592288260096000], [[[1, 2], [2, 17], [4, 1], [10, 1]], 197039/13390585528320000], [[[1, 2], [2, 17], [4, 1], [12, 1]], 41/2678117105664000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 1081/142832912302080], [[[1, 2], [2, 17], [5, 1], [6, 1]], 47/1673823191040000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 551/1339058552832000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 1691/25225592832000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 19/55092694745088000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 2369/115694658964684800], [[[1, 2], [2, 19], [4, 1], [6, 1]], 303187/1156946589646848000], [[[1, 3], [2, 2], [4, 2], [8, 4]], 1/32768], [[[1, 3], [2, 2], [4, 4], [7, 2]], 1/4816896], [[[1, 3], [2, 2], [4, 4], [8, 3]], 1/131072], [[[1, 3], [2, 2], [4, 4], [13, 1]], 1/638976], [[[1, 3], [2, 2], [4, 5], [11, 1]], 1/1081344], [[[1, 3], [2, 2], [4, 6], [8, 2]], 1/1572864], [[[1, 3], [2, 2], [5, 3], [16, 1]], 1/48000], [[[1, 3], [2, 2], [7, 2], [8, 2]], 1/100352], [[[1, 3], [2, 2], [7, 2], [16, 1]], 1/6272], [[[1, 3], [2, 2], [8, 2], [13, 1]], 1/13312], [[[1, 3], [2, 2], [13, 1], [16, 1]], 1/1248], [[[1, 3], [2, 2], [14, 2], [16, 1]], 1/12544], [[[1, 3], [2, 2], [16, 1], [26, 1]], 1/1664], [[[1, 3], [2, 4], [3, 1], [10, 4]], 1/180000], [[[1, 3], [2, 4], [4, 3], [5, 3]], 1/27648000], [[[1, 3], [2, 4], [4, 3], [7, 2]], 1/903168], [[[1, 3], [2, 4], [4, 3], [8, 3]], 65/196608], [[[1, 3], [2, 4], [4, 3], [10, 3]], 23/5529600], [[[1, 3], [2, 4], [4, 3], [13, 1]], 11/1437696], [[[1, 3], [2, 4], [4, 3], [14, 2]], 13/1806336], [[[1, 3], [2, 4], [4, 3], [26, 1]], 71/1437696], [[[1, 3], [2, 4], [4, 4], [11, 1]], 7/1622016], [[[1, 3], [2, 4], [4, 4], [22, 1]], 61/2162688], [[[1, 3], [2, 4], [4, 5], [8, 2]], 17/786432], [[[1, 3], [2, 4], [4, 5], [10, 2]], 1/9830400], [[[1, 3], [2, 4], [4, 6], [14, 1]], 1/5505024], [[[1, 3], [2, 4], [4, 7], [8, 1]], 1/3145728], [[[1, 3], [2, 4], [5, 2], [11, 1]], 13/422400], [[[1, 3], [2, 4], [6, 3], [14, 2]], 1/254016], [[[1, 3], [2, 4], [6, 3], [18, 2]], 1/7776], [[[1, 3], [2, 4], [6, 3], [26, 1]], 1/89856], [[[1, 3], [2, 4], [7, 1], [10, 3]], 1/84000], [[[1, 3], [2, 4], [7, 1], [13, 1]], 1/5824], [[[1, 3], [2, 4], [7, 1], [14, 2]], 37/21952], [[[1, 3], [2, 4], [7, 1], [26, 1]], 1/2184], [[[1, 3], [2, 4], [7, 2], [14, 1]], 11/10976], [[[1, 3], [2, 4], [8, 2], [22, 1]], 1/45056], [[[1, 3], [2, 4], [10, 2], [22, 1]], 1/14080], [[[1, 3], [2, 4], [10, 3], [14, 1]], 1/168000], [[[1, 3], [2, 4], [11, 1], [16, 1]], 1/5632], [[[1, 3], [2, 4], [13, 1], [14, 1]], 1/2912], [[[1, 3], [2, 4], [14, 1], [26, 1]], 5/8736], [[[1, 3], [2, 4], [16, 1], [22, 1]], 5/16896], [[[1, 3], [2, 6], [3, 2], [6, 6]], 113/12597120], [[[1, 3], [2, 6], [3, 2], [10, 3]], 7/5184000], [[[1, 3], [2, 6], [3, 2], [13, 1]], 31/21565440], [[[1, 3], [2, 6], [3, 2], [14, 2]], 1/169344], [[[1, 3], [2, 6], [3, 2], [26, 1]], 5/269568], [[[1, 3], [2, 6], [3, 3], [6, 5]], 7/209952], [[[1, 3], [2, 6], [4, 2], [6, 6]], 11/89579520], [[[1, 3], [2, 6], [4, 2], [7, 2]], 17/9633792], [[[1, 3], [2, 6], [4, 2], [8, 3]], 47/1572864], [[[1, 3], [2, 6], [4, 2], [10, 3]], 209/3686400], [[[1, 3], [2, 6], [4, 2], [13, 1]], 17/1277952], [[[1, 3], [2, 6], [4, 2], [14, 2]], 251/2408448], [[[1, 3], [2, 6], [4, 2], [26, 1]], 47/239616], [[[1, 3], [2, 6], [4, 3], [6, 5]], 71/537477120], [[[1, 3], [2, 6], [4, 3], [11, 1]], 53/6488064], [[[1, 3], [2, 6], [4, 3], [22, 1]], 4687/48660480], [[[1, 3], [2, 6], [4, 4], [5, 2]], 1/14745600], [[[1, 3], [2, 6], [4, 4], [6, 4]], 61/382205952], [[[1, 3], [2, 6], [4, 4], [8, 2]], 241/5242880], [[[1, 3], [2, 6], [4, 4], [10, 2]], 181/14745600], [[[1, 3], [2, 6], [4, 4], [16, 1]], 1/393216], [[[1, 3], [2, 6], [4, 5], [6, 3]], 1/31850496], [[[1, 3], [2, 6], [4, 5], [7, 1]], 1/8257536], [[[1, 3], [2, 6], [4, 5], [14, 1]], 107/16515072], [[[1, 3], [2, 6], [4, 6], [6, 2]], 1/14155776], [[[1, 3], [2, 6], [4, 6], [8, 1]], 1/786432], [[[1, 3], [2, 6], [4, 6], [10, 1]], 1/5898240], [[[1, 3], [2, 6], [4, 7], [6, 1]], 1/14155776], [[[1, 3], [2, 6], [5, 1], [6, 6]], 1/6998400], [[[1, 3], [2, 6], [5, 1], [7, 2]], 1/1505280], [[[1, 3], [2, 6], [5, 1], [10, 3]], 239/2880000], [[[1, 3], [2, 6], [5, 1], [13, 1]], 1/199680], [[[1, 3], [2, 6], [5, 1], [14, 2]], 1/47040], [[[1, 3], [2, 6], [5, 1], [26, 1]], 1/14976], [[[1, 3], [2, 6], [5, 2], [10, 2]], 1/48000], [[[1, 3], [2, 6], [5, 3], [8, 1]], 1/46080000], [[[1, 3], [2, 6], [5, 3], [10, 1]], 1/384000], [[[1, 3], [2, 6], [6, 2], [7, 2]], 1/451584], [[[1, 3], [2, 6], [6, 2], [10, 3]], 17/3456000], [[[1, 3], [2, 6], [6, 2], [13, 1]], 1/59904], [[[1, 3], [2, 6], [6, 2], [14, 2]], 23/338688], [[[1, 3], [2, 6], [6, 2], [18, 2]], 1/7776], [[[1, 3], [2, 6], [6, 2], [26, 1]], 113/1437696], [[[1, 3], [2, 6], [6, 3], [22, 1]], 7/228096], [[[1, 3], [2, 6], [6, 4], [8, 2]], 1/7962624], [[[1, 3], [2, 6], [6, 4], [10, 2]], 1/2073600], [[[1, 3], [2, 6], [6, 4], [16, 1]], 1/331776], [[[1, 3], [2, 6], [6, 5], [7, 1]], 1/3265920], [[[1, 3], [2, 6], [6, 5], [14, 1]], 1/1866240], [[[1, 3], [2, 6], [6, 5], [18, 1]], 7/1119744], [[[1, 3], [2, 6], [7, 1], [22, 1]], 1/13440], [[[1, 3], [2, 6], [7, 2], [8, 1]], 11/6021120], [[[1, 3], [2, 6], [7, 2], [10, 1]], 1/376320], [[[1, 3], [2, 6], [8, 1], [10, 3]], 13/4608000], [[[1, 3], [2, 6], [8, 1], [13, 1]], 1/74880], [[[1, 3], [2, 6], [8, 1], [14, 2]], 13/802816], [[[1, 3], [2, 6], [8, 1], [26, 1]], 5/73728], [[[1, 3], [2, 6], [8, 2], [10, 2]], 1/307200], [[[1, 3], [2, 6], [10, 1], [13, 1]], 1/49920], [[[1, 3], [2, 6], [10, 1], [14, 2]], 71/376320], [[[1, 3], [2, 6], [10, 1], [26, 1]], 1/4992], [[[1, 3], [2, 6], [10, 2], [16, 1]], 1/38400], [[[1, 3], [2, 6], [14, 1], [22, 1]], 19/73920], [[[1, 3], [2, 8], [3, 1], [6, 6]], 49/11197440], [[[1, 3], [2, 8], [3, 1], [7, 2]], 1/108380160], [[[1, 3], [2, 8], [3, 1], [10, 3]], 149/69120000], [[[1, 3], [2, 8], [3, 1], [13, 1]], 13/123863040], [[[1, 3], [2, 8], [3, 1], [14, 2]], 11/9031680], [[[1, 3], [2, 8], [3, 1], [26, 1]], 1/299520], [[[1, 3], [2, 8], [3, 2], [6, 5]], 1087/33592320], [[[1, 3], [2, 8], [3, 2], [11, 1]], 1/36495360], [[[1, 3], [2, 8], [3, 2], [22, 1]], 17/9123840], [[[1, 3], [2, 8], [3, 3], [6, 4]], 29/3359232], [[[1, 3], [2, 8], [4, 1], [5, 3]], 1/3870720000], [[[1, 3], [2, 8], [4, 1], [6, 6]], 11/13436928], [[[1, 3], [2, 8], [4, 1], [7, 2]], 11/252887040], [[[1, 3], [2, 8], [4, 1], [8, 3]], 17/11796480], [[[1, 3], [2, 8], [4, 1], [10, 3]], 707/22118400], [[[1, 3], [2, 8], [4, 1], [13, 1]], 1/3096576], [[[1, 3], [2, 8], [4, 1], [14, 2]], 257/3440640], [[[1, 3], [2, 8], [4, 1], [26, 1]], 67/1797120], [[[1, 3], [2, 8], [4, 2], [6, 5]], 631/238878720], [[[1, 3], [2, 8], [4, 2], [11, 1]], 43/227082240], [[[1, 3], [2, 8], [4, 2], [22, 1]], 503/12976128], [[[1, 3], [2, 8], [4, 3], [6, 4]], 4723/1719926784], [[[1, 3], [2, 8], [4, 3], [8, 2]], 9577/330301440], [[[1, 3], [2, 8], [4, 3], [10, 2]], 11683/530841600], [[[1, 3], [2, 8], [4, 4], [6, 3]], 217/95551488], [[[1, 3], [2, 8], [4, 4], [14, 1]], 971/247726080], [[[1, 3], [2, 8], [4, 5], [6, 2]], 59/42467328], [[[1, 3], [2, 8], [4, 5], [8, 1]], 1631/566231040], [[[1, 3], [2, 8], [4, 5], [10, 1]], 31/19660800], [[[1, 3], [2, 8], [4, 5], [12, 1]], 5/7077888], [[[1, 3], [2, 8], [4, 6], [6, 1]], 11/283115520], [[[1, 3], [2, 8], [5, 1], [6, 5]], 7/9331200], [[[1, 3], [2, 8], [5, 1], [11, 1]], 19/756940800], [[[1, 3], [2, 8], [5, 1], [22, 1]], 17/2534400], [[[1, 3], [2, 8], [6, 1], [7, 2]], 1/18063360], [[[1, 3], [2, 8], [6, 1], [10, 3]], 47/1843200], [[[1, 3], [2, 8], [6, 1], [13, 1]], 1/2396160], [[[1, 3], [2, 8], [6, 1], [14, 2]], 437/6773760], [[[1, 3], [2, 8], [6, 1], [26, 1]], 2257/80510976], [[[1, 3], [2, 8], [6, 2], [22, 1]], 7/168960], [[[1, 3], [2, 8], [6, 3], [8, 2]], 1/1990656], [[[1, 3], [2, 8], [6, 3], [10, 2]], 1699/99532800], [[[1, 3], [2, 8], [6, 3], [16, 1]], 1/414720], [[[1, 3], [2, 8], [6, 4], [7, 1]], 1/746496], [[[1, 3], [2, 8], [6, 4], [14, 1]], 449/41803776], [[[1, 3], [2, 8], [6, 4], [18, 1]], 571/17915904], [[[1, 3], [2, 8], [6, 5], [8, 1]], 103/179159040], [[[1, 3], [2, 8], [6, 5], [10, 1]], 1/497664], [[[1, 3], [2, 8], [7, 1], [10, 2]], 1/252000], [[[1, 3], [2, 8], [8, 1], [11, 1]], 1/5406720], [[[1, 3], [2, 8], [8, 1], [22, 1]], 19/1802240], [[[1, 3], [2, 8], [8, 2], [14, 1]], 13/10321920], [[[1, 3], [2, 8], [10, 1], [22, 1]], 5953/113541120], [[[1, 3], [2, 8], [10, 2], [14, 1]], 2029/32256000], [[[1, 3], [2, 8], [14, 1], [16, 1]], 23/9031680], [[[1, 3], [2, 10], [3, 1], [4, 5]], 1/5945425920], [[[1, 3], [2, 10], [3, 1], [6, 5]], 1393/223948800], [[[1, 3], [2, 10], [3, 1], [11, 1]], 1/2724986880], [[[1, 3], [2, 10], [3, 1], [22, 1]], 31/121651200], [[[1, 3], [2, 10], [3, 2], [6, 4]], 58717/7524679680], [[[1, 3], [2, 10], [3, 2], [10, 2]], 11/124416000], [[[1, 3], [2, 10], [3, 3], [6, 3]], 179/313528320], [[[1, 3], [2, 10], [4, 1], [6, 5]], 65/23887872], [[[1, 3], [2, 10], [4, 1], [11, 1]], 1/363331584], [[[1, 3], [2, 10], [4, 1], [22, 1]], 229/50462720], [[[1, 3], [2, 10], [4, 2], [5, 2]], 1/2064384000], [[[1, 3], [2, 10], [4, 2], [6, 4]], 44557/8918138880], [[[1, 3], [2, 10], [4, 2], [8, 2]], 9805/4756340736], [[[1, 3], [2, 10], [4, 2], [10, 2]], 2141/309657600], [[[1, 3], [2, 10], [4, 2], [16, 1]], 1/82575360], [[[1, 3], [2, 10], [4, 3], [6, 3]], 27749/8599633920], [[[1, 3], [2, 10], [4, 3], [7, 1]], 1/128450560], [[[1, 3], [2, 10], [4, 3], [14, 1]], 186469/93640458240], [[[1, 3], [2, 10], [4, 4], [6, 2]], 11/14155776], [[[1, 3], [2, 10], [4, 4], [8, 1]], 13/41943040], [[[1, 3], [2, 10], [4, 4], [10, 1]], 919/2477260800], [[[1, 3], [2, 10], [4, 4], [12, 1]], 29/247726080], [[[1, 3], [2, 10], [4, 5], [6, 1]], 341/2378170368], [[[1, 3], [2, 10], [5, 1], [6, 4]], 269/1045094400], [[[1, 3], [2, 10], [5, 1], [10, 2]], 40939/7741440000], [[[1, 3], [2, 10], [5, 2], [10, 1]], 451/6193152000], [[[1, 3], [2, 10], [6, 1], [22, 1]], 1703/340623360], [[[1, 3], [2, 10], [6, 2], [8, 2]], 1/8847360], [[[1, 3], [2, 10], [6, 2], [10, 2]], 138797/9289728000], [[[1, 3], [2, 10], [6, 2], [16, 1]], 1/6193152], [[[1, 3], [2, 10], [6, 3], [7, 1]], 11/45722880], [[[1, 3], [2, 10], [6, 3], [14, 1]], 119429/11705057280], [[[1, 3], [2, 10], [6, 3], [18, 1]], 5867/557383680], [[[1, 3], [2, 10], [6, 4], [8, 1]], 1687/2866544640], [[[1, 3], [2, 10], [6, 4], [10, 1]], 3359/597196800], [[[1, 3], [2, 10], [7, 1], [14, 1]], 24977/72831467520], [[[1, 3], [2, 10], [8, 1], [10, 2]], 133/221184000], [[[1, 3], [2, 10], [8, 2], [10, 1]], 1/12902400], [[[1, 3], [2, 10], [10, 1], [16, 1]], 19/232243200], [[[1, 3], [2, 12], [3, 1], [4, 4]], 67/8828957491200], [[[1, 3], [2, 12], [3, 1], [6, 4]], 5531/5016453120], [[[1, 3], [2, 12], [3, 1], [10, 2]], 329/27371520000], [[[1, 3], [2, 12], [3, 2], [6, 3]], 1234361/3611846246400], [[[1, 3], [2, 12], [3, 2], [14, 1]], 43/17557585920], [[[1, 3], [2, 12], [3, 3], [6, 2]], 31/18811699200], [[[1, 3], [2, 12], [4, 1], [6, 4]], 17137/16052649984], [[[1, 3], [2, 12], [4, 1], [8, 2]], 709/59454259200], [[[1, 3], [2, 12], [4, 1], [10, 2]], 139/169869312], [[[1, 3], [2, 12], [4, 1], [16, 1]], 67/122624409600], [[[1, 3], [2, 12], [4, 2], [6, 3]], 106853/100329062400], [[[1, 3], [2, 12], [4, 2], [7, 1]], 67/214592716800], [[[1, 3], [2, 12], [4, 2], [14, 1]], 422543/1248539443200], [[[1, 3], [2, 12], [4, 3], [5, 1]], 1/825753600], [[[1, 3], [2, 12], [4, 3], [6, 2]], 104761/343985356800], [[[1, 3], [2, 12], [4, 3], [8, 1]], 102149/1569592442880], [[[1, 3], [2, 12], [4, 3], [10, 1]], 4261/42042654720], [[[1, 3], [2, 12], [4, 3], [12, 1]], 139/22295347200], [[[1, 3], [2, 12], [4, 4], [6, 1]], 4259/152882380800], [[[1, 3], [2, 12], [5, 1], [6, 3]], 163/7838208000], [[[1, 3], [2, 12], [5, 1], [14, 1]], 43/4877107200], [[[1, 3], [2, 12], [6, 1], [8, 2]], 13/4459069440], [[[1, 3], [2, 12], [6, 1], [10, 2]], 209/154828800], [[[1, 3], [2, 12], [6, 1], [16, 1]], 19/10218700800], [[[1, 3], [2, 12], [6, 2], [7, 1]], 23/3657830400], [[[1, 3], [2, 12], [6, 2], [14, 1]], 18881/14631321600], [[[1, 3], [2, 12], [6, 2], [18, 1]], 38477/80263249920], [[[1, 3], [2, 12], [6, 3], [8, 1]], 337/5016453120], [[[1, 3], [2, 12], [6, 3], [10, 1]], 13973/8360755200], [[[1, 3], [2, 12], [7, 1], [10, 1]], 1/399168000], [[[1, 3], [2, 12], [8, 1], [14, 1]], 109/3901685760], [[[1, 3], [2, 12], [10, 1], [14, 1]], 3848203/5722472448000], [[[1, 3], [2, 14], [3, 1], [4, 3]], 46927/1071246842265600], [[[1, 3], [2, 14], [3, 1], [6, 3]], 251539/5885971660800], [[[1, 3], [2, 14], [3, 1], [14, 1]], 19/78033715200], [[[1, 3], [2, 14], [3, 2], [6, 2]], 487129/196759624089600], [[[1, 3], [2, 14], [3, 2], [10, 1]], 31/689762304000], [[[1, 3], [2, 14], [3, 3], [6, 1]], 1/150493593600], [[[1, 3], [2, 14], [4, 1], [6, 3]], 430799/5297374494720], [[[1, 3], [2, 14], [4, 1], [7, 1]], 1/142021361664], [[[1, 3], [2, 14], [4, 1], [14, 1]], 17161/1177194332160], [[[1, 3], [2, 14], [4, 2], [5, 1]], 23/408748032000], [[[1, 3], [2, 14], [4, 2], [6, 2]], 1249187/30607052636160], [[[1, 3], [2, 14], [4, 2], [8, 1]], 511793/129848102092800], [[[1, 3], [2, 14], [4, 2], [10, 1]], 149/10899947520], [[[1, 3], [2, 14], [4, 2], [12, 1]], 23/183936614400], [[[1, 3], [2, 14], [4, 3], [6, 1]], 14148019/2754634737254400], [[[1, 3], [2, 14], [5, 1], [6, 2]], 323/747242496000], [[[1, 3], [2, 14], [5, 1], [8, 1]], 31/18598035456000], [[[1, 3], [2, 14], [5, 1], [10, 1]], 271/227082240000], [[[1, 3], [2, 14], [6, 1], [7, 1]], 79/2092278988800], [[[1, 3], [2, 14], [6, 1], [14, 1]], 1016179/33476463820800], [[[1, 3], [2, 14], [6, 1], [18, 1]], 105857/30901351219200], [[[1, 3], [2, 14], [6, 2], [8, 1]], 2341/1261279641600], [[[1, 3], [2, 14], [6, 2], [10, 1]], 49381/544997376000], [[[1, 3], [2, 14], [8, 1], [10, 1]], 577/817496064000], [[[1, 3], [2, 16], [3, 1], [4, 2]], 179/79351617945600], [[[1, 3], [2, 16], [3, 1], [5, 1]], 11/456497233920000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 1709599/4017175658496000], [[[1, 3], [2, 16], [3, 1], [8, 1]], 647/1785411403776000], [[[1, 3], [2, 16], [3, 1], [10, 1]], 20869/5021469573120000], [[[1, 3], [2, 16], [3, 2], [4, 1]], 607/8034351316992000], [[[1, 3], [2, 16], [3, 2], [6, 1]], 701/602576348774400], [[[1, 3], [2, 16], [4, 1], [5, 1]], 9463/13390585528320000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 29707/17854114037760], [[[1, 3], [2, 16], [4, 1], [8, 1]], 362909/8569974738124800], [[[1, 3], [2, 16], [4, 1], [10, 1]], 26947/59513713459200], [[[1, 3], [2, 16], [4, 1], [12, 1]], 17467/24103053950976000], [[[1, 3], [2, 16], [4, 2], [6, 1]], 137237/324620255232000], [[[1, 3], [2, 16], [5, 1], [6, 1]], 4007/1673823191040000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 23411/1606870263398400], [[[1, 3], [2, 16], [6, 1], [10, 1]], 1288901/1071246842265600], [[[1, 3], [2, 18], [3, 1], [4, 1]], 17/706316599296000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 129641/128549621071872000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 52177/4944216195072000], [[[1, 3], [3, 1], [4, 4], [13, 1]], 1/958464], [[[1, 3], [3, 1], [8, 2], [13, 1]], 1/19968], [[[1, 3], [3, 2], [7, 1], [9, 2]], 1/2268], [[[1, 3], [3, 2], [9, 1], [13, 1]], 1/1404], [[[1, 3], [4, 1], [8, 1], [16, 2]], 1/1024], [[[1, 3], [4, 2], [5, 2], [11, 1]], 1/35200], [[[1, 3], [4, 3], [8, 2], [16, 1]], 1/16384], [[[1, 3], [4, 4], [5, 1], [11, 1]], 1/1351680], [[[1, 3], [5, 1], [8, 2], [11, 1]], 1/28160], [[[1, 4], [2, 1], [3, 4], [9, 2]], 1/5832], [[[1, 4], [2, 1], [3, 4], [13, 1]], 1/101088], [[[1, 4], [2, 1], [4, 2], [5, 4]], 1/480000], [[[1, 4], [2, 1], [4, 4], [5, 3]], 1/18432000], [[[1, 4], [2, 1], [4, 4], [7, 2]], 1/2408448], [[[1, 4], [2, 1], [4, 4], [8, 3]], 1/131072], [[[1, 4], [2, 1], [4, 4], [13, 1]], 1/479232], [[[1, 4], [2, 1], [4, 5], [11, 1]], 1/1081344], [[[1, 4], [2, 1], [5, 3], [8, 2]], 1/384000], [[[1, 4], [2, 1], [5, 3], [16, 1]], 1/48000], [[[1, 4], [2, 1], [7, 2], [8, 2]], 1/50176], [[[1, 4], [2, 1], [7, 2], [16, 1]], 1/12544], [[[1, 4], [2, 1], [8, 2], [13, 1]], 1/9984], [[[1, 4], [2, 1], [13, 1], [16, 1]], 1/4992], [[[1, 4], [2, 3], [3, 3], [7, 2]], 1/254016], [[[1, 4], [2, 3], [3, 3], [9, 2]], 1/7776], [[[1, 4], [2, 3], [3, 3], [13, 1]], 1/89856], [[[1, 4], [2, 3], [4, 3], [5, 3]], 23/5529600], [[[1, 4], [2, 3], [4, 3], [7, 2]], 13/1806336], [[[1, 4], [2, 3], [4, 3], [8, 3]], 65/196608], [[[1, 4], [2, 3], [4, 3], [10, 3]], 1/27648000], [[[1, 4], [2, 3], [4, 3], [13, 1]], 71/1437696], [[[1, 4], [2, 3], [4, 3], [14, 2]], 1/903168], [[[1, 4], [2, 3], [4, 3], [26, 1]], 11/1437696], [[[1, 4], [2, 3], [4, 4], [11, 1]], 61/2162688], [[[1, 4], [2, 3], [4, 4], [22, 1]], 7/1622016], [[[1, 4], [2, 3], [4, 5], [5, 2]], 1/9830400], [[[1, 4], [2, 3], [4, 5], [8, 2]], 17/786432], [[[1, 4], [2, 3], [4, 6], [7, 1]], 1/5505024], [[[1, 4], [2, 3], [4, 7], [8, 1]], 1/3145728], [[[1, 4], [2, 3], [5, 2], [11, 1]], 1/14080], [[[1, 4], [2, 3], [5, 3], [7, 1]], 1/168000], [[[1, 4], [2, 3], [5, 3], [14, 1]], 1/84000], [[[1, 4], [2, 3], [5, 4], [6, 1]], 1/180000], [[[1, 4], [2, 3], [7, 1], [13, 1]], 5/8736], [[[1, 4], [2, 3], [7, 1], [14, 2]], 11/10976], [[[1, 4], [2, 3], [7, 1], [26, 1]], 1/2912], [[[1, 4], [2, 3], [7, 2], [14, 1]], 37/21952], [[[1, 4], [2, 3], [8, 2], [11, 1]], 1/45056], [[[1, 4], [2, 3], [10, 2], [22, 1]], 13/422400], [[[1, 4], [2, 3], [11, 1], [16, 1]], 5/16896], [[[1, 4], [2, 3], [13, 1], [14, 1]], 1/2184], [[[1, 4], [2, 3], [14, 1], [26, 1]], 1/5824], [[[1, 4], [2, 3], [16, 1], [22, 1]], 1/5632], [[[1, 4], [2, 5], [3, 2], [5, 3]], 1/6912000], [[[1, 4], [2, 5], [3, 2], [10, 3]], 1/576000], [[[1, 4], [2, 5], [3, 2], [13, 1]], 5/479232], [[[1, 4], [2, 5], [3, 2], [14, 2]], 1/84672], [[[1, 4], [2, 5], [3, 2], [26, 1]], 5/89856], [[[1, 4], [2, 5], [3, 3], [6, 5]], 7/209952], [[[1, 4], [2, 5], [3, 4], [4, 4]], 1/286654464], [[[1, 4], [2, 5], [3, 4], [6, 4]], 1/93312], [[[1, 4], [2, 5], [4, 2], [5, 3]], 17/36864000], [[[1, 4], [2, 5], [4, 2], [7, 2]], 167/4816896], [[[1, 4], [2, 5], [4, 2], [8, 3]], 29/524288], [[[1, 4], [2, 5], [4, 2], [10, 3]], 1013/36864000], [[[1, 4], [2, 5], [4, 2], [13, 1]], 49/479232], [[[1, 4], [2, 5], [4, 2], [14, 2]], 967/9633792], [[[1, 4], [2, 5], [4, 2], [26, 1]], 71/294912], [[[1, 4], [2, 5], [4, 3], [6, 5]], 23/537477120], [[[1, 4], [2, 5], [4, 3], [11, 1]], 1171/19464192], [[[1, 4], [2, 5], [4, 3], [22, 1]], 6731/48660480], [[[1, 4], [2, 5], [4, 4], [5, 2]], 1/1843200], [[[1, 4], [2, 5], [4, 4], [6, 4]], 7/286654464], [[[1, 4], [2, 5], [4, 4], [8, 2]], 97/393216], [[[1, 4], [2, 5], [4, 4], [10, 2]], 497/58982400], [[[1, 4], [2, 5], [4, 4], [16, 1]], 1/393216], [[[1, 4], [2, 5], [4, 5], [7, 1]], 1/1179648], [[[1, 4], [2, 5], [4, 5], [14, 1]], 13/1835008], [[[1, 4], [2, 5], [4, 6], [5, 1]], 1/3932160], [[[1, 4], [2, 5], [4, 6], [6, 2]], 1/28311552], [[[1, 4], [2, 5], [4, 6], [8, 1]], 61/6291456], [[[1, 4], [2, 5], [4, 6], [10, 1]], 1/2621440], [[[1, 4], [2, 5], [4, 6], [12, 1]], 1/589824], [[[1, 4], [2, 5], [4, 7], [6, 1]], 1/14155776], [[[1, 4], [2, 5], [5, 1], [7, 2]], 19/752640], [[[1, 4], [2, 5], [5, 1], [10, 3]], 239/2880000], [[[1, 4], [2, 5], [5, 1], [13, 1]], 1/14976], [[[1, 4], [2, 5], [5, 1], [14, 2]], 1/26880], [[[1, 4], [2, 5], [5, 1], [26, 1]], 7/37440], [[[1, 4], [2, 5], [5, 2], [10, 2]], 7/48000], [[[1, 4], [2, 5], [5, 2], [16, 1]], 1/153600], [[[1, 4], [2, 5], [5, 3], [6, 2]], 1/1728000], [[[1, 4], [2, 5], [5, 3], [8, 1]], 7/15360000], [[[1, 4], [2, 5], [5, 3], [10, 1]], 199/5760000], [[[1, 4], [2, 5], [6, 2], [7, 2]], 1/112896], [[[1, 4], [2, 5], [6, 2], [10, 3]], 13/6912000], [[[1, 4], [2, 5], [6, 2], [13, 1]], 5/89856], [[[1, 4], [2, 5], [6, 2], [14, 2]], 1/50176], [[[1, 4], [2, 5], [6, 2], [18, 2]], 1/15552], [[[1, 4], [2, 5], [6, 2], [26, 1]], 19/479232], [[[1, 4], [2, 5], [6, 3], [22, 1]], 1/152064], [[[1, 4], [2, 5], [6, 4], [16, 1]], 1/995328], [[[1, 4], [2, 5], [7, 1], [11, 1]], 1/19712], [[[1, 4], [2, 5], [7, 1], [22, 1]], 5/29568], [[[1, 4], [2, 5], [7, 2], [8, 1]], 37/4014080], [[[1, 4], [2, 5], [7, 2], [10, 1]], 1/47040], [[[1, 4], [2, 5], [8, 1], [10, 3]], 1/512000], [[[1, 4], [2, 5], [8, 1], [13, 1]], 97/1597440], [[[1, 4], [2, 5], [8, 1], [14, 2]], 11/602112], [[[1, 4], [2, 5], [8, 1], [26, 1]], 1/9984], [[[1, 4], [2, 5], [8, 2], [10, 2]], 1/1228800], [[[1, 4], [2, 5], [10, 1], [13, 1]], 11/74880], [[[1, 4], [2, 5], [10, 1], [14, 2]], 163/1505280], [[[1, 4], [2, 5], [10, 1], [26, 1]], 103/599040], [[[1, 4], [2, 5], [10, 2], [16, 1]], 1/38400], [[[1, 4], [2, 5], [11, 1], [14, 1]], 1/9856], [[[1, 4], [2, 5], [14, 1], [22, 1]], 1/5376], [[[1, 4], [2, 7], [3, 1], [4, 6]], 17/169869312], [[[1, 4], [2, 7], [3, 1], [5, 3]], 1/414720000], [[[1, 4], [2, 7], [3, 1], [6, 6]], 151/100776960], [[[1, 4], [2, 7], [3, 1], [7, 2]], 1/3386880], [[[1, 4], [2, 7], [3, 1], [10, 3]], 169/20736000], [[[1, 4], [2, 7], [3, 1], [13, 1]], 473/172523520], [[[1, 4], [2, 7], [3, 1], [14, 2]], 313/54190080], [[[1, 4], [2, 7], [3, 1], [26, 1]], 439/21565440], [[[1, 4], [2, 7], [3, 2], [4, 5]], 1/42467328], [[[1, 4], [2, 7], [3, 2], [6, 5]], 161/3732480], [[[1, 4], [2, 7], [3, 2], [11, 1]], 1/1140480], [[[1, 4], [2, 7], [3, 2], [22, 1]], 47/4561920], [[[1, 4], [2, 7], [3, 3], [5, 2]], 1/497664000], [[[1, 4], [2, 7], [3, 3], [6, 4]], 115/1679616], [[[1, 4], [2, 7], [3, 4], [6, 3]], 1/373248], [[[1, 4], [2, 7], [3, 4], [7, 1]], 1/627056640], [[[1, 4], [2, 7], [3, 4], [9, 1]], 1/89579520], [[[1, 4], [2, 7], [4, 1], [5, 3]], 1303/3870720000], [[[1, 4], [2, 7], [4, 1], [6, 6]], 11/67184640], [[[1, 4], [2, 7], [4, 1], [7, 2]], 473/505774080], [[[1, 4], [2, 7], [4, 1], [8, 3]], 1/262144], [[[1, 4], [2, 7], [4, 1], [10, 3]], 4273/110592000], [[[1, 4], [2, 7], [4, 1], [13, 1]], 43/6289920], [[[1, 4], [2, 7], [4, 1], [14, 2]], 4453/36126720], [[[1, 4], [2, 7], [4, 1], [26, 1]], 581/5750784], [[[1, 4], [2, 7], [4, 2], [6, 5]], 181/95551488], [[[1, 4], [2, 7], [4, 2], [11, 1]], 57/7208960], [[[1, 4], [2, 7], [4, 2], [22, 1]], 1561/12976128], [[[1, 4], [2, 7], [4, 3], [5, 2]], 31/35389440], [[[1, 4], [2, 7], [4, 3], [6, 4]], 5983/1719926784], [[[1, 4], [2, 7], [4, 3], [8, 2]], 9997/47185920], [[[1, 4], [2, 7], [4, 3], [10, 2]], 43883/663552000], [[[1, 4], [2, 7], [4, 3], [16, 1]], 1/147456], [[[1, 4], [2, 7], [4, 4], [6, 3]], 2011/573308928], [[[1, 4], [2, 7], [4, 4], [7, 1]], 37/11010048], [[[1, 4], [2, 7], [4, 4], [14, 1]], 27991/990904320], [[[1, 4], [2, 7], [4, 5], [5, 1]], 1/11796480], [[[1, 4], [2, 7], [4, 5], [6, 2]], 1/331776], [[[1, 4], [2, 7], [4, 5], [8, 1]], 1411/62914560], [[[1, 4], [2, 7], [4, 5], [10, 1]], 13/1966080], [[[1, 4], [2, 7], [4, 5], [12, 1]], 35/7077888], [[[1, 4], [2, 7], [4, 6], [6, 1]], 47/28311552], [[[1, 4], [2, 7], [5, 1], [6, 5]], 13/13996800], [[[1, 4], [2, 7], [5, 1], [11, 1]], 457/243302400], [[[1, 4], [2, 7], [5, 1], [22, 1]], 23/633600], [[[1, 4], [2, 7], [5, 2], [7, 1]], 1/2150400], [[[1, 4], [2, 7], [5, 3], [6, 1]], 1/69120000], [[[1, 4], [2, 7], [6, 1], [7, 2]], 11/9031680], [[[1, 4], [2, 7], [6, 1], [10, 3]], 493/27648000], [[[1, 4], [2, 7], [6, 1], [13, 1]], 1/112320], [[[1, 4], [2, 7], [6, 1], [14, 2]], 241/3612672], [[[1, 4], [2, 7], [6, 1], [26, 1]], 1871/38338560], [[[1, 4], [2, 7], [6, 2], [11, 1]], 1/202752], [[[1, 4], [2, 7], [6, 2], [22, 1]], 5/110592], [[[1, 4], [2, 7], [6, 3], [8, 2]], 1/3981312], [[[1, 4], [2, 7], [6, 3], [10, 2]], 67/11059200], [[[1, 4], [2, 7], [6, 3], [16, 1]], 1/248832], [[[1, 4], [2, 7], [6, 4], [7, 1]], 1/580608], [[[1, 4], [2, 7], [6, 4], [14, 1]], 181/41803776], [[[1, 4], [2, 7], [6, 4], [18, 1]], 359/17915904], [[[1, 4], [2, 7], [6, 5], [8, 1]], 13/59719680], [[[1, 4], [2, 7], [6, 5], [10, 1]], 73/223948800], [[[1, 4], [2, 7], [7, 1], [10, 2]], 1/67200], [[[1, 4], [2, 7], [8, 1], [11, 1]], 13/3244032], [[[1, 4], [2, 7], [8, 1], [22, 1]], 43/1474560], [[[1, 4], [2, 7], [8, 2], [14, 1]], 1/589824], [[[1, 4], [2, 7], [10, 1], [11, 1]], 1/168960], [[[1, 4], [2, 7], [10, 1], [22, 1]], 12541/162201600], [[[1, 4], [2, 7], [10, 2], [14, 1]], 439/6451200], [[[1, 4], [2, 7], [14, 1], [16, 1]], 13/1290240], [[[1, 4], [2, 9], [3, 1], [4, 5]], 29/5945425920], [[[1, 4], [2, 9], [3, 1], [6, 5]], 1061/107495424], [[[1, 4], [2, 9], [3, 1], [11, 1]], 19/454164480], [[[1, 4], [2, 9], [3, 1], [22, 1]], 37/14598144], [[[1, 4], [2, 9], [3, 2], [5, 2]], 1/37158912000], [[[1, 4], [2, 9], [3, 2], [6, 4]], 13789/358318080], [[[1, 4], [2, 9], [3, 2], [10, 2]], 53/82944000], [[[1, 4], [2, 9], [3, 3], [6, 3]], 5419/627056640], [[[1, 4], [2, 9], [3, 3], [7, 1]], 1/46820229120], [[[1, 4], [2, 9], [3, 3], [9, 1]], 19/2229534720], [[[1, 4], [2, 9], [3, 4], [4, 2]], 1/40131624960], [[[1, 4], [2, 9], [3, 4], [6, 2]], 11/119439360], [[[1, 4], [2, 9], [4, 1], [6, 5]], 55/17915904], [[[1, 4], [2, 9], [4, 1], [11, 1]], 139/1089994752], [[[1, 4], [2, 9], [4, 1], [22, 1]], 2533/123863040], [[[1, 4], [2, 9], [4, 2], [5, 2]], 11/516096000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 41587/3822059520], [[[1, 4], [2, 9], [4, 2], [8, 2]], 35843/1981808640], [[[1, 4], [2, 9], [4, 2], [10, 2]], 7321/221184000], [[[1, 4], [2, 9], [4, 2], [16, 1]], 29/82575360], [[[1, 4], [2, 9], [4, 3], [6, 3]], 10153/752467968], [[[1, 4], [2, 9], [4, 3], [7, 1]], 55/231211008], [[[1, 4], [2, 9], [4, 3], [14, 1]], 1740187/93640458240], [[[1, 4], [2, 9], [4, 4], [5, 1]], 1/5242880], [[[1, 4], [2, 9], [4, 4], [6, 2]], 112541/15288238080], [[[1, 4], [2, 9], [4, 4], [8, 1]], 48109/4756340736], [[[1, 4], [2, 9], [4, 4], [10, 1]], 29657/4246732800], [[[1, 4], [2, 9], [4, 4], [12, 1]], 1/655360], [[[1, 4], [2, 9], [4, 5], [6, 1]], 2627/1698693120], [[[1, 4], [2, 9], [5, 1], [6, 4]], 137/111974400], [[[1, 4], [2, 9], [5, 1], [10, 2]], 182659/7741440000], [[[1, 4], [2, 9], [5, 2], [8, 1]], 1/147456000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 11707/6193152000], [[[1, 4], [2, 9], [6, 1], [11, 1]], 1/8110080], [[[1, 4], [2, 9], [6, 1], [22, 1]], 355/24772608], [[[1, 4], [2, 9], [6, 2], [8, 2]], 5/21233664], [[[1, 4], [2, 9], [6, 2], [10, 2]], 16943/884736000], [[[1, 4], [2, 9], [6, 2], [16, 1]], 1/1105920], [[[1, 4], [2, 9], [6, 3], [7, 1]], 1/725760], [[[1, 4], [2, 9], [6, 3], [14, 1]], 46957/3344302080], [[[1, 4], [2, 9], [6, 3], [18, 1]], 10109/477757440], [[[1, 4], [2, 9], [6, 4], [8, 1]], 199/191102976], [[[1, 4], [2, 9], [6, 4], [10, 1]], 1783/358318080], [[[1, 4], [2, 9], [7, 1], [14, 1]], 89977/24277155840], [[[1, 4], [2, 9], [8, 1], [10, 2]], 7/3072000], [[[1, 4], [2, 9], [8, 2], [10, 1]], 7/29491200], [[[1, 4], [2, 9], [10, 1], [16, 1]], 1/1612800], [[[1, 4], [2, 11], [3, 1], [4, 4]], 9683/1070176665600], [[[1, 4], [2, 11], [3, 1], [6, 4]], 72701/15049359360], [[[1, 4], [2, 11], [3, 1], [10, 2]], 361/2322432000], [[[1, 4], [2, 11], [3, 2], [4, 3]], 1/5945425920], [[[1, 4], [2, 11], [3, 2], [6, 3]], 10279/2866544640], [[[1, 4], [2, 11], [3, 2], [9, 1]], 1/8918138880], [[[1, 4], [2, 11], [3, 2], [14, 1]], 71/1950842880], [[[1, 4], [2, 11], [3, 3], [6, 2]], 68179/1203948748800], [[[1, 4], [2, 11], [4, 1], [5, 2]], 1/7077888000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 272189/80263249920], [[[1, 4], [2, 11], [4, 1], [8, 2]], 683/3963617280], [[[1, 4], [2, 11], [4, 1], [10, 2]], 83873/18579456000], [[[1, 4], [2, 11], [4, 1], [16, 1]], 47/3715891200], [[[1, 4], [2, 11], [4, 2], [6, 3]], 5129/836075520], [[[1, 4], [2, 11], [4, 2], [7, 1]], 899/59454259200], [[[1, 4], [2, 11], [4, 2], [14, 1]], 5311/1560674304], [[[1, 4], [2, 11], [4, 3], [5, 1]], 1/26214400], [[[1, 4], [2, 11], [4, 3], [6, 2]], 285473/75246796800], [[[1, 4], [2, 11], [4, 3], [8, 1]], 120131/79272345600], [[[1, 4], [2, 11], [4, 3], [10, 1]], 6706453/3678732288000], [[[1, 4], [2, 11], [4, 3], [12, 1]], 31/297271296], [[[1, 4], [2, 11], [4, 4], [6, 1]], 119221/160526499840], [[[1, 4], [2, 11], [5, 1], [6, 3]], 653/3135283200], [[[1, 4], [2, 11], [5, 1], [7, 1]], 1/11560550400], [[[1, 4], [2, 11], [5, 1], [14, 1]], 13/99532800], [[[1, 4], [2, 11], [6, 1], [8, 2]], 5/297271296], [[[1, 4], [2, 11], [6, 1], [10, 2]], 27359/6193152000], [[[1, 4], [2, 11], [6, 1], [16, 1]], 13/557383680], [[[1, 4], [2, 11], [6, 2], [7, 1]], 1/10838016], [[[1, 4], [2, 11], [6, 2], [14, 1]], 68057/15606743040], [[[1, 4], [2, 11], [6, 2], [18, 1]], 6065/2675441664], [[[1, 4], [2, 11], [6, 3], [8, 1]], 197/557383680], [[[1, 4], [2, 11], [6, 3], [10, 1]], 415447/100329062400], [[[1, 4], [2, 11], [7, 1], [10, 1]], 19/406425600], [[[1, 4], [2, 11], [8, 1], [14, 1]], 11/48168960], [[[1, 4], [2, 11], [10, 1], [14, 1]], 444509/156067430400], [[[1, 4], [2, 13], [3, 1], [4, 3]], 64951/35315829964800], [[[1, 4], [2, 13], [3, 1], [6, 3]], 5529929/14447384985600], [[[1, 4], [2, 13], [3, 1], [14, 1]], 913/175575859200], [[[1, 4], [2, 13], [3, 2], [4, 2]], 71/630639820800], [[[1, 4], [2, 13], [3, 2], [6, 2]], 74273/1471492915200], [[[1, 4], [2, 13], [3, 2], [10, 1]], 173/172440576000], [[[1, 4], [2, 13], [3, 3], [6, 1]], 13/37623398400], [[[1, 4], [2, 13], [4, 1], [6, 3]], 5371/9405849600], [[[1, 4], [2, 13], [4, 1], [7, 1]], 157/429185433600], [[[1, 4], [2, 13], [4, 1], [14, 1]], 6563477/41201801625600], [[[1, 4], [2, 13], [4, 2], [5, 1]], 727/408748032000], [[[1, 4], [2, 13], [4, 2], [6, 2]], 12231911/23543886643200], [[[1, 4], [2, 13], [4, 2], [8, 1]], 3673/47563407360], [[[1, 4], [2, 13], [4, 2], [10, 1]], 4134721/19619905536000], [[[1, 4], [2, 13], [4, 2], [12, 1]], 11729/4414478745600], [[[1, 4], [2, 13], [4, 3], [6, 1]], 372034459/2754634737254400], [[[1, 4], [2, 13], [5, 1], [6, 2]], 2789/344881152000], [[[1, 4], [2, 13], [5, 1], [8, 1]], 23/613122048000], [[[1, 4], [2, 13], [5, 1], [10, 1]], 102919/5449973760000], [[[1, 4], [2, 13], [6, 1], [7, 1]], 19/17882726400], [[[1, 4], [2, 13], [6, 1], [14, 1]], 173125/824036032512], [[[1, 4], [2, 13], [6, 1], [18, 1]], 25171/802632499200], [[[1, 4], [2, 13], [6, 2], [8, 1]], 163/8360755200], [[[1, 4], [2, 13], [6, 2], [10, 1]], 141703/286654464000], [[[1, 4], [2, 13], [8, 1], [10, 1]], 83/9580032000], [[[1, 4], [2, 15], [3, 1], [4, 2]], 193/2479738060800], [[[1, 4], [2, 15], [3, 1], [5, 1]], 31/27897053184000], [[[1, 4], [2, 15], [3, 1], [6, 2]], 3253769/482061079019520], [[[1, 4], [2, 15], [3, 1], [8, 1]], 136861/16068702633984000], [[[1, 4], [2, 15], [3, 1], [10, 1]], 122783/1004293914624000], [[[1, 4], [2, 15], [3, 2], [4, 1]], 44327/8034351316992000], [[[1, 4], [2, 15], [3, 2], [6, 1]], 54343/1004293914624000], [[[1, 4], [2, 15], [4, 1], [5, 1]], 402581/13390585528320000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 4934771/229552894771200], [[[1, 4], [2, 15], [4, 1], [8, 1]], 148627/174897443635200], [[[1, 4], [2, 15], [4, 1], [10, 1]], 129721/18728091648000], [[[1, 4], [2, 15], [4, 1], [12, 1]], 410341/24103053950976000], [[[1, 4], [2, 15], [4, 2], [6, 1]], 40400557/4284987369062400], [[[1, 4], [2, 15], [5, 1], [6, 1]], 3833/50214695731200], [[[1, 4], [2, 15], [6, 1], [8, 1]], 19753/76517631590400], [[[1, 4], [2, 15], [6, 1], [10, 1]], 4195439/353158299648000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 1669/1648072065024000], [[[1, 4], [2, 17], [3, 1], [6, 1]], 2488391/96412215803904000], [[[1, 4], [2, 17], [4, 1], [6, 1]], 14077573/64274810535936000], [[[1, 5], [2, 2], [3, 3], [7, 2]], 1/72576], [[[1, 5], [2, 2], [3, 3], [9, 2]], 1/2592], [[[1, 5], [2, 2], [3, 3], [13, 1]], 1/20736], [[[1, 5], [2, 2], [3, 4], [4, 5]], 1/191102976], [[[1, 5], [2, 2], [3, 4], [11, 1]], 1/171072], [[[1, 5], [2, 2], [3, 5], [16, 1]], 1/1866240], [[[1, 5], [2, 2], [4, 1], [5, 4]], 1/80000], [[[1, 5], [2, 2], [4, 3], [5, 3]], 29/3072000], [[[1, 5], [2, 2], [4, 3], [7, 2]], 1/86016], [[[1, 5], [2, 2], [4, 3], [8, 3]], 1/24576], [[[1, 5], [2, 2], [4, 3], [13, 1]], 3/53248], [[[1, 5], [2, 2], [4, 3], [14, 2]], 1/7225344], [[[1, 5], [2, 2], [4, 3], [26, 1]], 1/958464], [[[1, 5], [2, 2], [4, 4], [11, 1]], 161/6488064], [[[1, 5], [2, 2], [4, 4], [22, 1]], 1/1622016], [[[1, 5], [2, 2], [4, 5], [5, 2]], 1/4915200], [[[1, 5], [2, 2], [4, 5], [8, 2]], 25/4718592], [[[1, 5], [2, 2], [4, 6], [7, 1]], 1/5505024], [[[1, 5], [2, 2], [5, 2], [11, 1]], 1/14080], [[[1, 5], [2, 2], [5, 3], [7, 1]], 1/56000], [[[1, 5], [2, 2], [5, 3], [14, 1]], 1/84000], [[[1, 5], [2, 2], [5, 4], [6, 1]], 1/180000], [[[1, 5], [2, 2], [7, 1], [13, 1]], 1/1456], [[[1, 5], [2, 2], [7, 1], [14, 2]], 1/6272], [[[1, 5], [2, 2], [7, 2], [14, 1]], 11/10976], [[[1, 5], [2, 2], [8, 2], [11, 1]], 5/135168], [[[1, 5], [2, 2], [10, 2], [22, 1]], 1/422400], [[[1, 5], [2, 2], [11, 1], [16, 1]], 1/7680], [[[1, 5], [2, 2], [13, 1], [14, 1]], 1/8736], [[[1, 5], [2, 4], [3, 1], [4, 7]], 1/14155776], [[[1, 5], [2, 4], [3, 2], [4, 6]], 1/28311552], [[[1, 5], [2, 4], [3, 2], [5, 3]], 13/6912000], [[[1, 5], [2, 4], [3, 2], [7, 2]], 1/50176], [[[1, 5], [2, 4], [3, 2], [9, 2]], 1/15552], [[[1, 5], [2, 4], [3, 2], [10, 3]], 1/1728000], [[[1, 5], [2, 4], [3, 2], [13, 1]], 19/479232], [[[1, 5], [2, 4], [3, 2], [14, 2]], 1/112896], [[[1, 5], [2, 4], [3, 2], [26, 1]], 5/89856], [[[1, 5], [2, 4], [3, 3], [11, 1]], 1/152064], [[[1, 5], [2, 4], [3, 4], [4, 4]], 7/286654464], [[[1, 5], [2, 4], [3, 4], [6, 4]], 1/93312], [[[1, 5], [2, 4], [3, 4], [16, 1]], 1/995328], [[[1, 5], [2, 4], [3, 5], [4, 3]], 23/537477120], [[[1, 5], [2, 4], [3, 5], [6, 3]], 7/209952], [[[1, 5], [2, 4], [4, 2], [5, 3]], 1013/36864000], [[[1, 5], [2, 4], [4, 2], [7, 2]], 967/9633792], [[[1, 5], [2, 4], [4, 2], [8, 3]], 29/524288], [[[1, 5], [2, 4], [4, 2], [10, 3]], 17/36864000], [[[1, 5], [2, 4], [4, 2], [13, 1]], 71/294912], [[[1, 5], [2, 4], [4, 2], [14, 2]], 167/4816896], [[[1, 5], [2, 4], [4, 2], [26, 1]], 49/479232], [[[1, 5], [2, 4], [4, 3], [11, 1]], 6731/48660480], [[[1, 5], [2, 4], [4, 3], [22, 1]], 1171/19464192], [[[1, 5], [2, 4], [4, 4], [5, 2]], 497/58982400], [[[1, 5], [2, 4], [4, 4], [6, 4]], 1/286654464], [[[1, 5], [2, 4], [4, 4], [8, 2]], 97/393216], [[[1, 5], [2, 4], [4, 4], [10, 2]], 1/1843200], [[[1, 5], [2, 4], [4, 4], [16, 1]], 1/393216], [[[1, 5], [2, 4], [4, 5], [7, 1]], 13/1835008], [[[1, 5], [2, 4], [4, 5], [14, 1]], 1/1179648], [[[1, 5], [2, 4], [4, 6], [5, 1]], 1/2621440], [[[1, 5], [2, 4], [4, 6], [8, 1]], 61/6291456], [[[1, 5], [2, 4], [4, 6], [10, 1]], 1/3932160], [[[1, 5], [2, 4], [4, 6], [12, 1]], 1/589824], [[[1, 5], [2, 4], [5, 1], [7, 2]], 163/1505280], [[[1, 5], [2, 4], [5, 1], [10, 3]], 199/5760000], [[[1, 5], [2, 4], [5, 1], [13, 1]], 103/599040], [[[1, 5], [2, 4], [5, 1], [14, 2]], 1/47040], [[[1, 5], [2, 4], [5, 1], [26, 1]], 11/74880], [[[1, 5], [2, 4], [5, 2], [8, 2]], 1/1228800], [[[1, 5], [2, 4], [5, 2], [10, 2]], 7/48000], [[[1, 5], [2, 4], [5, 2], [16, 1]], 1/38400], [[[1, 5], [2, 4], [5, 3], [6, 2]], 1/576000], [[[1, 5], [2, 4], [5, 3], [8, 1]], 1/512000], [[[1, 5], [2, 4], [5, 3], [10, 1]], 239/2880000], [[[1, 5], [2, 4], [6, 2], [7, 2]], 1/84672], [[[1, 5], [2, 4], [6, 2], [10, 3]], 1/6912000], [[[1, 5], [2, 4], [6, 2], [13, 1]], 5/89856], [[[1, 5], [2, 4], [6, 2], [26, 1]], 5/479232], [[[1, 5], [2, 4], [7, 1], [11, 1]], 1/5376], [[[1, 5], [2, 4], [7, 1], [22, 1]], 1/9856], [[[1, 5], [2, 4], [7, 2], [8, 1]], 11/602112], [[[1, 5], [2, 4], [7, 2], [10, 1]], 1/26880], [[[1, 5], [2, 4], [8, 1], [10, 3]], 7/15360000], [[[1, 5], [2, 4], [8, 1], [13, 1]], 1/9984], [[[1, 5], [2, 4], [8, 1], [14, 2]], 37/4014080], [[[1, 5], [2, 4], [8, 1], [26, 1]], 97/1597440], [[[1, 5], [2, 4], [10, 1], [13, 1]], 7/37440], [[[1, 5], [2, 4], [10, 1], [14, 2]], 19/752640], [[[1, 5], [2, 4], [10, 1], [26, 1]], 1/14976], [[[1, 5], [2, 4], [10, 2], [16, 1]], 1/153600], [[[1, 5], [2, 4], [11, 1], [14, 1]], 5/29568], [[[1, 5], [2, 4], [14, 1], [22, 1]], 1/19712], [[[1, 5], [2, 6], [3, 1], [4, 6]], 83/169869312], [[[1, 5], [2, 6], [3, 1], [5, 3]], 211/414720000], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/100776960], [[[1, 5], [2, 6], [3, 1], [7, 2]], 23/3386880], [[[1, 5], [2, 6], [3, 1], [10, 3]], 169/20736000], [[[1, 5], [2, 6], [3, 1], [13, 1]], 661/34504704], [[[1, 5], [2, 6], [3, 1], [14, 2]], 25/2709504], [[[1, 5], [2, 6], [3, 1], [26, 1]], 25/539136], [[[1, 5], [2, 6], [3, 2], [4, 5]], 13/21233664], [[[1, 5], [2, 6], [3, 2], [6, 5]], 523/33592320], [[[1, 5], [2, 6], [3, 2], [11, 1]], 1/142560], [[[1, 5], [2, 6], [3, 2], [22, 1]], 1/46080], [[[1, 5], [2, 6], [3, 3], [4, 4]], 29/95551488], [[[1, 5], [2, 6], [3, 3], [5, 2]], 71/497664000], [[[1, 5], [2, 6], [3, 3], [6, 4]], 19/186624], [[[1, 5], [2, 6], [3, 4], [4, 3]], 53/1146617856], [[[1, 5], [2, 6], [3, 4], [6, 3]], 25/559872], [[[1, 5], [2, 6], [3, 4], [7, 1]], 31/627056640], [[[1, 5], [2, 6], [3, 4], [9, 1]], 31/89579520], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/3359232], [[[1, 5], [2, 6], [3, 5], [8, 1]], 1/1791590400], [[[1, 5], [2, 6], [4, 1], [5, 3]], 883/184320000], [[[1, 5], [2, 6], [4, 1], [7, 2]], 1/35840], [[[1, 5], [2, 6], [4, 1], [8, 3]], 1/262144], [[[1, 5], [2, 6], [4, 1], [10, 3]], 3641/184320000], [[[1, 5], [2, 6], [4, 1], [13, 1]], 41/737280], [[[1, 5], [2, 6], [4, 1], [14, 2]], 3377/36126720], [[[1, 5], [2, 6], [4, 1], [26, 1]], 1133/9584640], [[[1, 5], [2, 6], [4, 2], [6, 5]], 109/477757440], [[[1, 5], [2, 6], [4, 2], [11, 1]], 4091/64880640], [[[1, 5], [2, 6], [4, 2], [22, 1]], 9107/64880640], [[[1, 5], [2, 6], [4, 3], [5, 2]], 649/88473600], [[[1, 5], [2, 6], [4, 3], [6, 4]], 515/382205952], [[[1, 5], [2, 6], [4, 3], [8, 2]], 1015/2359296], [[[1, 5], [2, 6], [4, 3], [10, 2]], 365/7077888], [[[1, 5], [2, 6], [4, 3], [16, 1]], 1/36864], [[[1, 5], [2, 6], [4, 4], [6, 3]], 301/143327232], [[[1, 5], [2, 6], [4, 4], [7, 1]], 2105/99090432], [[[1, 5], [2, 6], [4, 4], [14, 1]], 42163/990904320], [[[1, 5], [2, 6], [4, 5], [5, 1]], 103/35389440], [[[1, 5], [2, 6], [4, 5], [6, 2]], 7/3145728], [[[1, 5], [2, 6], [4, 5], [8, 1]], 7085/113246208], [[[1, 5], [2, 6], [4, 5], [10, 1]], 557/70778880], [[[1, 5], [2, 6], [4, 5], [12, 1]], 5/589824], [[[1, 5], [2, 6], [4, 6], [6, 1]], 19/9437184], [[[1, 5], [2, 6], [5, 1], [6, 5]], 1/3499200], [[[1, 5], [2, 6], [5, 1], [11, 1]], 491/22118400], [[[1, 5], [2, 6], [5, 1], [22, 1]], 1/14400], [[[1, 5], [2, 6], [5, 2], [7, 1]], 19/2150400], [[[1, 5], [2, 6], [5, 2], [14, 1]], 1/268800], [[[1, 5], [2, 6], [5, 3], [6, 1]], 47/23040000], [[[1, 5], [2, 6], [6, 1], [7, 2]], 313/54190080], [[[1, 5], [2, 6], [6, 1], [10, 3]], 7/1105920], [[[1, 5], [2, 6], [6, 1], [13, 1]], 271/7188480], [[[1, 5], [2, 6], [6, 1], [14, 2]], 5/150528], [[[1, 5], [2, 6], [6, 1], [26, 1]], 1687/38338560], [[[1, 5], [2, 6], [6, 2], [11, 1]], 1/55296], [[[1, 5], [2, 6], [6, 2], [22, 1]], 5/202752], [[[1, 5], [2, 6], [6, 3], [10, 2]], 157/99532800], [[[1, 5], [2, 6], [6, 3], [16, 1]], 1/497664], [[[1, 5], [2, 6], [6, 4], [7, 1]], 1/1741824], [[[1, 5], [2, 6], [6, 4], [14, 1]], 1/1548288], [[[1, 5], [2, 6], [6, 4], [18, 1]], 1/221184], [[[1, 5], [2, 6], [6, 5], [8, 1]], 7/597196800], [[[1, 5], [2, 6], [6, 5], [10, 1]], 1/223948800], [[[1, 5], [2, 6], [7, 1], [10, 2]], 1/67200], [[[1, 5], [2, 6], [7, 1], [16, 1]], 1/172032], [[[1, 5], [2, 6], [8, 1], [11, 1]], 1561/81100800], [[[1, 5], [2, 6], [8, 1], [22, 1]], 29/819200], [[[1, 5], [2, 6], [8, 2], [14, 1]], 1/1376256], [[[1, 5], [2, 6], [10, 1], [11, 1]], 23/506880], [[[1, 5], [2, 6], [10, 1], [22, 1]], 9797/162201600], [[[1, 5], [2, 6], [10, 2], [14, 1]], 241/6451200], [[[1, 5], [2, 6], [14, 1], [16, 1]], 1/73728], [[[1, 5], [2, 8], [3, 1], [4, 5]], 1853/1698693120], [[[1, 5], [2, 8], [3, 1], [6, 5]], 653/107495424], [[[1, 5], [2, 8], [3, 1], [11, 1]], 8207/8174960640], [[[1, 5], [2, 8], [3, 1], [22, 1]], 739/72990720], [[[1, 5], [2, 8], [3, 2], [4, 4]], 157/509607936], [[[1, 5], [2, 8], [3, 2], [5, 2]], 281/37158912000], [[[1, 5], [2, 8], [3, 2], [6, 4]], 14173/214990848], [[[1, 5], [2, 8], [3, 2], [10, 2]], 13/6912000], [[[1, 5], [2, 8], [3, 3], [6, 3]], 53/1105920], [[[1, 5], [2, 8], [3, 3], [7, 1]], 131/15606743040], [[[1, 5], [2, 8], [3, 3], [9, 1]], 127/445906944], [[[1, 5], [2, 8], [3, 4], [4, 2]], 43/40131624960], [[[1, 5], [2, 8], [3, 4], [5, 1]], 1/895795200], [[[1, 5], [2, 8], [3, 4], [6, 2]], 607/358318080], [[[1, 5], [2, 8], [3, 4], [8, 1]], 1/955514880], [[[1, 5], [2, 8], [3, 5], [4, 1]], 1/4180377600], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/537477120], [[[1, 5], [2, 8], [4, 1], [6, 5]], 1511/1194393600], [[[1, 5], [2, 8], [4, 1], [11, 1]], 17371/6812467200], [[[1, 5], [2, 8], [4, 1], [22, 1]], 84391/1946419200], [[[1, 5], [2, 8], [4, 2], [5, 2]], 463/458752000], [[[1, 5], [2, 8], [4, 2], [6, 4]], 6709/764411904], [[[1, 5], [2, 8], [4, 2], [8, 2]], 24529/396361728], [[[1, 5], [2, 8], [4, 2], [10, 2]], 24839/442368000], [[[1, 5], [2, 8], [4, 2], [16, 1]], 49/11796480], [[[1, 5], [2, 8], [4, 3], [6, 3]], 18199/955514880], [[[1, 5], [2, 8], [4, 3], [7, 1]], 3173/495452160], [[[1, 5], [2, 8], [4, 3], [14, 1]], 579583/10404495360], [[[1, 5], [2, 8], [4, 4], [5, 1]], 103/35389440], [[[1, 5], [2, 8], [4, 4], [6, 2]], 135487/7644119040], [[[1, 5], [2, 8], [4, 4], [8, 1]], 1694947/23781703680], [[[1, 5], [2, 8], [4, 4], [10, 1]], 440731/14863564800], [[[1, 5], [2, 8], [4, 4], [12, 1]], 1/131072], [[[1, 5], [2, 8], [4, 5], [6, 1]], 1547/188743680], [[[1, 5], [2, 8], [5, 1], [6, 4]], 1/559872], [[[1, 5], [2, 8], [5, 1], [10, 2]], 41089/737280000], [[[1, 5], [2, 8], [5, 2], [6, 2]], 1/5529600], [[[1, 5], [2, 8], [5, 2], [8, 1]], 1/6144000], [[[1, 5], [2, 8], [5, 2], [10, 1]], 3617/221184000], [[[1, 5], [2, 8], [6, 1], [11, 1]], 13/4866048], [[[1, 5], [2, 8], [6, 1], [22, 1]], 233/10813440], [[[1, 5], [2, 8], [6, 2], [8, 2]], 1/5898240], [[[1, 5], [2, 8], [6, 2], [10, 2]], 33013/2654208000], [[[1, 5], [2, 8], [6, 2], [16, 1]], 5/2654208], [[[1, 5], [2, 8], [6, 3], [7, 1]], 1/435456], [[[1, 5], [2, 8], [6, 3], [14, 1]], 10327/1114767360], [[[1, 5], [2, 8], [6, 3], [18, 1]], 3271/159252480], [[[1, 5], [2, 8], [6, 4], [8, 1]], 637/955514880], [[[1, 5], [2, 8], [6, 4], [10, 1]], 697/358318080], [[[1, 5], [2, 8], [7, 1], [14, 1]], 27259/1734082560], [[[1, 5], [2, 8], [8, 1], [10, 2]], 683/184320000], [[[1, 5], [2, 8], [8, 2], [10, 1]], 1/3686400], [[[1, 5], [2, 8], [10, 1], [16, 1]], 7/3686400], [[[1, 5], [2, 10], [3, 1], [4, 4]], 14491/71345111040], [[[1, 5], [2, 10], [3, 1], [5, 2]], 31/37158912000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 557639/60197437440], [[[1, 5], [2, 10], [3, 1], [10, 2]], 373/435456000], [[[1, 5], [2, 10], [3, 2], [4, 3]], 113/4459069440], [[[1, 5], [2, 10], [3, 2], [6, 3]], 991699/60197437440], [[[1, 5], [2, 10], [3, 2], [7, 1]], 59/31213486080], [[[1, 5], [2, 10], [3, 2], [9, 1]], 289/26754416640], [[[1, 5], [2, 10], [3, 2], [14, 1]], 1411/5852528640], [[[1, 5], [2, 10], [3, 3], [4, 2]], 23/13377208320], [[[1, 5], [2, 10], [3, 3], [5, 1]], 1/66886041600], [[[1, 5], [2, 10], [3, 3], [6, 2]], 6637/8918138880], [[[1, 5], [2, 10], [3, 4], [4, 1]], 1/64210599936], [[[1, 5], [2, 10], [3, 4], [6, 1]], 17/8026324992], [[[1, 5], [2, 10], [4, 1], [5, 2]], 179/24772608000], [[[1, 5], [2, 10], [4, 1], [6, 4]], 11969/2548039680], [[[1, 5], [2, 10], [4, 1], [8, 2]], 4687/3963617280], [[[1, 5], [2, 10], [4, 1], [10, 2]], 1443599/123863040000], [[[1, 5], [2, 10], [4, 1], [16, 1]], 31/247726080], [[[1, 5], [2, 10], [4, 2], [6, 3]], 95099/6688604160], [[[1, 5], [2, 10], [4, 2], [7, 1]], 179/566231040], [[[1, 5], [2, 10], [4, 2], [14, 1]], 111677/7803371520], [[[1, 5], [2, 10], [4, 3], [5, 1]], 1201/2477260800], [[[1, 5], [2, 10], [4, 3], [6, 2]], 139729/8918138880], [[[1, 5], [2, 10], [4, 3], [8, 1]], 67981/5284823040], [[[1, 5], [2, 10], [4, 3], [10, 1]], 153667/13377208320], [[[1, 5], [2, 10], [4, 3], [12, 1]], 1/1179648], [[[1, 5], [2, 10], [4, 4], [6, 1]], 63859/10032906240], [[[1, 5], [2, 10], [5, 1], [6, 3]], 683/783820800], [[[1, 5], [2, 10], [5, 1], [7, 1]], 59/11560550400], [[[1, 5], [2, 10], [5, 1], [14, 1]], 4159/4877107200], [[[1, 5], [2, 10], [5, 2], [6, 1]], 1/221184000], [[[1, 5], [2, 10], [6, 1], [8, 2]], 1/23592960], [[[1, 5], [2, 10], [6, 1], [10, 2]], 33713/4644864000], [[[1, 5], [2, 10], [6, 1], [16, 1]], 5/37158912], [[[1, 5], [2, 10], [6, 2], [7, 1]], 1/1935360], [[[1, 5], [2, 10], [6, 2], [14, 1]], 1387/185794560], [[[1, 5], [2, 10], [6, 2], [18, 1]], 3511/637009920], [[[1, 5], [2, 10], [6, 3], [8, 1]], 227/298598400], [[[1, 5], [2, 10], [6, 3], [10, 1]], 249761/50164531200], [[[1, 5], [2, 10], [7, 1], [8, 1]], 1/165150720], [[[1, 5], [2, 10], [7, 1], [10, 1]], 1/2822400], [[[1, 5], [2, 10], [8, 1], [14, 1]], 23171/26011238400], [[[1, 5], [2, 10], [10, 1], [14, 1]], 966059/156067430400], [[[1, 5], [2, 12], [3, 1], [4, 3]], 206153/6421059993600], [[[1, 5], [2, 12], [3, 1], [6, 3]], 12396547/7223692492800], [[[1, 5], [2, 12], [3, 1], [7, 1]], 1/41617981440], [[[1, 5], [2, 12], [3, 1], [9, 1]], 1/17836277760], [[[1, 5], [2, 12], [3, 1], [14, 1]], 9211/175575859200], [[[1, 5], [2, 12], [3, 2], [4, 2]], 284789/70631659929600], [[[1, 5], [2, 12], [3, 2], [6, 2]], 144877/300987187200], [[[1, 5], [2, 12], [3, 2], [10, 1]], 2393/229920768000], [[[1, 5], [2, 12], [3, 3], [6, 1]], 3407/535088332800], [[[1, 5], [2, 12], [4, 1], [6, 3]], 36937/19110297600], [[[1, 5], [2, 12], [4, 1], [7, 1]], 10033/1248539443200], [[[1, 5], [2, 12], [4, 1], [14, 1]], 551051/624269721600], [[[1, 5], [2, 12], [4, 2], [5, 1]], 578869/19619905536000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 384029/133772083200], [[[1, 5], [2, 12], [4, 2], [8, 1]], 256127/356725555200], [[[1, 5], [2, 12], [4, 2], [10, 1]], 209029/140142182400], [[[1, 5], [2, 12], [4, 2], [12, 1]], 17231/630639820800], [[[1, 5], [2, 12], [4, 3], [6, 1]], 455353/336341237760], [[[1, 5], [2, 12], [5, 1], [6, 2]], 541/7838208000], [[[1, 5], [2, 12], [5, 1], [8, 1]], 7/15925248000], [[[1, 5], [2, 12], [5, 1], [10, 1]], 2570431/16349921280000], [[[1, 5], [2, 12], [6, 1], [7, 1]], 13/975421440], [[[1, 5], [2, 12], [6, 1], [14, 1]], 20341/26011238400], [[[1, 5], [2, 12], [6, 1], [18, 1]], 509/3185049600], [[[1, 5], [2, 12], [6, 2], [8, 1]], 67391/668860416000], [[[1, 5], [2, 12], [6, 2], [10, 1]], 2808067/2006581248000], [[[1, 5], [2, 12], [8, 1], [10, 1]], 111791/2043740160000], [[[1, 5], [2, 14], [3, 1], [4, 2]], 1277/840853094400], [[[1, 5], [2, 14], [3, 1], [5, 1]], 23/919683072000], [[[1, 5], [2, 14], [3, 1], [6, 2]], 7958317/137731736862720], [[[1, 5], [2, 14], [3, 1], [8, 1]], 5237/48693038284800], [[[1, 5], [2, 14], [3, 1], [10, 1]], 4927/2759049216000], [[[1, 5], [2, 14], [3, 2], [4, 1]], 2377/16068702633984], [[[1, 5], [2, 14], [3, 2], [6, 1]], 198761/172164671078400], [[[1, 5], [2, 14], [4, 1], [5, 1]], 884077/1339058552832000], [[[1, 5], [2, 14], [4, 1], [6, 2]], 17159929/117719433216000], [[[1, 5], [2, 14], [4, 1], [8, 1]], 29537/3139184885760], [[[1, 5], [2, 14], [4, 1], [10, 1]], 5604407/98099527680000], [[[1, 5], [2, 14], [4, 1], [12, 1]], 2129/9918952243200], [[[1, 5], [2, 14], [4, 2], [6, 1]], 62014661/612141052723200], [[[1, 5], [2, 14], [5, 1], [6, 1]], 42199/35867639808000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 237073/95647039488000], [[[1, 5], [2, 14], [6, 1], [10, 1]], 304705199/4591057895424000], [[[1, 5], [2, 16], [3, 1], [4, 1]], 35899/1412633198592000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 2237017/5933059434086400], [[[1, 5], [2, 16], [4, 1], [6, 1]], 12165499/4761097076736000], [[[1, 5], [3, 1], [4, 4], [11, 1]], 1/1622016], [[[1, 5], [3, 1], [5, 2], [11, 1]], 1/13200], [[[1, 5], [3, 1], [5, 3], [9, 1]], 1/27000], [[[1, 5], [3, 1], [7, 1], [13, 1]], 1/8736], [[[1, 5], [3, 1], [7, 2], [9, 1]], 1/4704], [[[1, 5], [3, 1], [8, 2], [11, 1]], 1/33792], [[[1, 5], [3, 1], [9, 1], [13, 1]], 1/2808], [[[1, 5], [3, 2], [4, 2], [5, 3]], 1/576000], [[[1, 5], [3, 2], [4, 2], [13, 1]], 1/119808], [[[1, 5], [3, 2], [4, 4], [5, 2]], 1/22118400], [[[1, 5], [3, 2], [5, 1], [9, 2]], 1/3240], [[[1, 5], [3, 2], [5, 1], [13, 1]], 1/9360], [[[1, 5], [3, 2], [5, 2], [8, 2]], 1/460800], [[[1, 5], [3, 2], [5, 2], [15, 1]], 1/3600], [[[1, 5], [3, 2], [9, 1], [11, 1]], 1/2376], [[[1, 5], [3, 3], [4, 4], [7, 1]], 1/27869184], [[[1, 5], [3, 3], [4, 4], [9, 1]], 1/3981312], [[[1, 5], [3, 3], [5, 1], [11, 1]], 1/142560], [[[1, 5], [3, 3], [5, 2], [9, 1]], 1/32400], [[[1, 5], [3, 3], [7, 1], [8, 2]], 1/580608], [[[1, 5], [3, 3], [8, 2], [9, 1]], 1/82944], [[[1, 5], [3, 4], [5, 1], [15, 1]], 1/38880], [[[1, 5], [3, 4], [7, 1], [9, 1]], 5/163296], [[[1, 5], [4, 2], [5, 1], [7, 2]], 1/125440], [[[1, 5], [4, 2], [5, 1], [13, 1]], 1/49920], [[[1, 5], [4, 2], [5, 3], [12, 1]], 1/144000], [[[1, 5], [4, 2], [7, 2], [12, 1]], 1/37632], [[[1, 5], [4, 2], [12, 1], [13, 1]], 1/14976], [[[1, 5], [4, 4], [8, 1], [16, 1]], 1/589824], [[[1, 5], [5, 1], [7, 1], [11, 1]], 1/12320], [[[1, 6], [2, 1], [3, 1], [5, 4]], 1/180000], [[[1, 6], [2, 1], [3, 3], [5, 3]], 1/194400], [[[1, 6], [2, 1], [3, 3], [7, 2]], 1/63504], [[[1, 6], [2, 1], [3, 3], [9, 2]], 7/23328], [[[1, 6], [2, 1], [3, 3], [13, 1]], 37/808704], [[[1, 6], [2, 1], [3, 4], [4, 5]], 1/191102976], [[[1, 6], [2, 1], [3, 4], [11, 1]], 1/85536], [[[1, 6], [2, 1], [3, 5], [4, 4]], 1/716636160], [[[1, 6], [2, 1], [3, 5], [5, 2]], 1/2332800], [[[1, 6], [2, 1], [3, 5], [8, 2]], 1/14929920], [[[1, 6], [2, 1], [3, 5], [16, 1]], 1/1866240], [[[1, 6], [2, 1], [3, 6], [7, 1]], 1/2939328], [[[1, 6], [2, 1], [3, 6], [9, 1]], 7/2099520], [[[1, 6], [2, 1], [4, 1], [5, 4]], 1/80000], [[[1, 6], [2, 1], [4, 3], [5, 3]], 49/9216000], [[[1, 6], [2, 1], [4, 3], [7, 2]], 13/2408448], [[[1, 6], [2, 1], [4, 3], [13, 1]], 1/73728], [[[1, 6], [2, 1], [4, 4], [11, 1]], 1/2949120], [[[1, 6], [2, 1], [4, 5], [5, 2]], 1/9830400], [[[1, 6], [2, 1], [4, 5], [8, 2]], 1/4718592], [[[1, 6], [2, 1], [5, 2], [11, 1]], 13/422400], [[[1, 6], [2, 1], [5, 3], [7, 1]], 1/56000], [[[1, 6], [2, 1], [7, 1], [13, 1]], 1/2912], [[[1, 6], [2, 1], [7, 2], [14, 1]], 1/6272], [[[1, 6], [2, 1], [8, 2], [11, 1]], 1/61440], [[[1, 6], [2, 1], [11, 1], [16, 1]], 1/84480], [[[1, 6], [2, 3], [3, 1], [4, 7]], 1/14155776], [[[1, 6], [2, 3], [3, 2], [4, 6]], 1/14155776], [[[1, 6], [2, 3], [3, 2], [5, 3]], 17/3456000], [[[1, 6], [2, 3], [3, 2], [7, 2]], 23/338688], [[[1, 6], [2, 3], [3, 2], [9, 2]], 1/7776], [[[1, 6], [2, 3], [3, 2], [13, 1]], 113/1437696], [[[1, 6], [2, 3], [3, 2], [14, 2]], 1/451584], [[[1, 6], [2, 3], [3, 2], [26, 1]], 1/59904], [[[1, 6], [2, 3], [3, 3], [4, 5]], 1/31850496], [[[1, 6], [2, 3], [3, 3], [11, 1]], 7/228096], [[[1, 6], [2, 3], [3, 4], [4, 4]], 61/382205952], [[[1, 6], [2, 3], [3, 4], [5, 2]], 1/2073600], [[[1, 6], [2, 3], [3, 4], [8, 2]], 1/7962624], [[[1, 6], [2, 3], [3, 4], [16, 1]], 1/331776], [[[1, 6], [2, 3], [3, 5], [4, 3]], 71/537477120], [[[1, 6], [2, 3], [3, 5], [6, 3]], 7/209952], [[[1, 6], [2, 3], [3, 5], [7, 1]], 1/1866240], [[[1, 6], [2, 3], [3, 5], [9, 1]], 7/1119744], [[[1, 6], [2, 3], [3, 5], [14, 1]], 1/3265920], [[[1, 6], [2, 3], [3, 6], [4, 2]], 11/89579520], [[[1, 6], [2, 3], [3, 6], [6, 2]], 113/12597120], [[[1, 6], [2, 3], [3, 6], [10, 1]], 1/6998400], [[[1, 6], [2, 3], [4, 2], [5, 3]], 209/3686400], [[[1, 6], [2, 3], [4, 2], [7, 2]], 251/2408448], [[[1, 6], [2, 3], [4, 2], [8, 3]], 47/1572864], [[[1, 6], [2, 3], [4, 2], [13, 1]], 47/239616], [[[1, 6], [2, 3], [4, 2], [14, 2]], 17/9633792], [[[1, 6], [2, 3], [4, 2], [26, 1]], 17/1277952], [[[1, 6], [2, 3], [4, 3], [11, 1]], 4687/48660480], [[[1, 6], [2, 3], [4, 3], [22, 1]], 53/6488064], [[[1, 6], [2, 3], [4, 4], [5, 2]], 181/14745600], [[[1, 6], [2, 3], [4, 4], [8, 2]], 241/5242880], [[[1, 6], [2, 3], [4, 4], [10, 2]], 1/14745600], [[[1, 6], [2, 3], [4, 4], [16, 1]], 1/393216], [[[1, 6], [2, 3], [4, 5], [7, 1]], 107/16515072], [[[1, 6], [2, 3], [4, 5], [14, 1]], 1/8257536], [[[1, 6], [2, 3], [4, 6], [5, 1]], 1/5898240], [[[1, 6], [2, 3], [4, 6], [8, 1]], 1/786432], [[[1, 6], [2, 3], [5, 1], [7, 2]], 71/376320], [[[1, 6], [2, 3], [5, 1], [10, 3]], 1/384000], [[[1, 6], [2, 3], [5, 1], [13, 1]], 1/4992], [[[1, 6], [2, 3], [5, 1], [14, 2]], 1/376320], [[[1, 6], [2, 3], [5, 1], [26, 1]], 1/49920], [[[1, 6], [2, 3], [5, 2], [8, 2]], 1/307200], [[[1, 6], [2, 3], [5, 2], [10, 2]], 1/48000], [[[1, 6], [2, 3], [5, 2], [16, 1]], 1/38400], [[[1, 6], [2, 3], [5, 3], [6, 2]], 7/5184000], [[[1, 6], [2, 3], [5, 3], [8, 1]], 13/4608000], [[[1, 6], [2, 3], [5, 3], [10, 1]], 239/2880000], [[[1, 6], [2, 3], [6, 2], [7, 2]], 1/169344], [[[1, 6], [2, 3], [6, 2], [13, 1]], 5/269568], [[[1, 6], [2, 3], [6, 2], [26, 1]], 31/21565440], [[[1, 6], [2, 3], [7, 1], [11, 1]], 19/73920], [[[1, 6], [2, 3], [7, 2], [8, 1]], 13/802816], [[[1, 6], [2, 3], [7, 2], [10, 1]], 1/47040], [[[1, 6], [2, 3], [8, 1], [10, 3]], 1/46080000], [[[1, 6], [2, 3], [8, 1], [13, 1]], 5/73728], [[[1, 6], [2, 3], [8, 1], [14, 2]], 11/6021120], [[[1, 6], [2, 3], [8, 1], [26, 1]], 1/74880], [[[1, 6], [2, 3], [10, 1], [13, 1]], 1/14976], [[[1, 6], [2, 3], [10, 1], [14, 2]], 1/1505280], [[[1, 6], [2, 3], [10, 1], [26, 1]], 1/199680], [[[1, 6], [2, 3], [11, 1], [14, 1]], 1/13440], [[[1, 6], [2, 5], [3, 1], [4, 6]], 19/9437184], [[[1, 6], [2, 5], [3, 1], [5, 3]], 7/1105920], [[[1, 6], [2, 5], [3, 1], [7, 2]], 5/150528], [[[1, 6], [2, 5], [3, 1], [10, 3]], 47/23040000], [[[1, 6], [2, 5], [3, 1], [13, 1]], 1687/38338560], [[[1, 6], [2, 5], [3, 1], [14, 2]], 313/54190080], [[[1, 6], [2, 5], [3, 1], [26, 1]], 271/7188480], [[[1, 6], [2, 5], [3, 2], [4, 5]], 7/3145728], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/3359232], [[[1, 6], [2, 5], [3, 2], [11, 1]], 5/202752], [[[1, 6], [2, 5], [3, 2], [22, 1]], 1/55296], [[[1, 6], [2, 5], [3, 3], [4, 4]], 301/143327232], [[[1, 6], [2, 5], [3, 3], [5, 2]], 157/99532800], [[[1, 6], [2, 5], [3, 3], [6, 4]], 25/559872], [[[1, 6], [2, 5], [3, 3], [16, 1]], 1/497664], [[[1, 6], [2, 5], [3, 4], [4, 3]], 515/382205952], [[[1, 6], [2, 5], [3, 4], [6, 3]], 19/186624], [[[1, 6], [2, 5], [3, 4], [7, 1]], 1/1548288], [[[1, 6], [2, 5], [3, 4], [9, 1]], 1/221184], [[[1, 6], [2, 5], [3, 4], [14, 1]], 1/1741824], [[[1, 6], [2, 5], [3, 5], [4, 2]], 109/477757440], [[[1, 6], [2, 5], [3, 5], [5, 1]], 1/223948800], [[[1, 6], [2, 5], [3, 5], [6, 2]], 523/33592320], [[[1, 6], [2, 5], [3, 5], [8, 1]], 7/597196800], [[[1, 6], [2, 5], [3, 5], [10, 1]], 1/3499200], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/100776960], [[[1, 6], [2, 5], [4, 1], [5, 3]], 3641/184320000], [[[1, 6], [2, 5], [4, 1], [7, 2]], 3377/36126720], [[[1, 6], [2, 5], [4, 1], [8, 3]], 1/262144], [[[1, 6], [2, 5], [4, 1], [10, 3]], 883/184320000], [[[1, 6], [2, 5], [4, 1], [13, 1]], 1133/9584640], [[[1, 6], [2, 5], [4, 1], [14, 2]], 1/35840], [[[1, 6], [2, 5], [4, 1], [26, 1]], 41/737280], [[[1, 6], [2, 5], [4, 2], [11, 1]], 9107/64880640], [[[1, 6], [2, 5], [4, 2], [22, 1]], 4091/64880640], [[[1, 6], [2, 5], [4, 3], [5, 2]], 365/7077888], [[[1, 6], [2, 5], [4, 3], [6, 4]], 53/1146617856], [[[1, 6], [2, 5], [4, 3], [8, 2]], 1015/2359296], [[[1, 6], [2, 5], [4, 3], [10, 2]], 649/88473600], [[[1, 6], [2, 5], [4, 3], [16, 1]], 1/36864], [[[1, 6], [2, 5], [4, 4], [6, 3]], 29/95551488], [[[1, 6], [2, 5], [4, 4], [7, 1]], 42163/990904320], [[[1, 6], [2, 5], [4, 4], [14, 1]], 2105/99090432], [[[1, 6], [2, 5], [4, 5], [5, 1]], 557/70778880], [[[1, 6], [2, 5], [4, 5], [6, 2]], 13/21233664], [[[1, 6], [2, 5], [4, 5], [8, 1]], 7085/113246208], [[[1, 6], [2, 5], [4, 5], [10, 1]], 103/35389440], [[[1, 6], [2, 5], [4, 5], [12, 1]], 5/589824], [[[1, 6], [2, 5], [4, 6], [6, 1]], 83/169869312], [[[1, 6], [2, 5], [5, 1], [11, 1]], 9797/162201600], [[[1, 6], [2, 5], [5, 1], [22, 1]], 23/506880], [[[1, 6], [2, 5], [5, 2], [7, 1]], 241/6451200], [[[1, 6], [2, 5], [5, 2], [14, 1]], 1/67200], [[[1, 6], [2, 5], [5, 3], [6, 1]], 169/20736000], [[[1, 6], [2, 5], [6, 1], [7, 2]], 25/2709504], [[[1, 6], [2, 5], [6, 1], [10, 3]], 211/414720000], [[[1, 6], [2, 5], [6, 1], [13, 1]], 25/539136], [[[1, 6], [2, 5], [6, 1], [14, 2]], 23/3386880], [[[1, 6], [2, 5], [6, 1], [26, 1]], 661/34504704], [[[1, 6], [2, 5], [6, 2], [11, 1]], 1/46080], [[[1, 6], [2, 5], [6, 2], [22, 1]], 1/142560], [[[1, 6], [2, 5], [6, 3], [10, 2]], 71/497664000], [[[1, 6], [2, 5], [6, 4], [14, 1]], 31/627056640], [[[1, 6], [2, 5], [6, 4], [18, 1]], 31/89579520], [[[1, 6], [2, 5], [6, 5], [8, 1]], 1/1791590400], [[[1, 6], [2, 5], [7, 1], [8, 2]], 1/1376256], [[[1, 6], [2, 5], [7, 1], [10, 2]], 1/268800], [[[1, 6], [2, 5], [7, 1], [16, 1]], 1/73728], [[[1, 6], [2, 5], [8, 1], [11, 1]], 29/819200], [[[1, 6], [2, 5], [8, 1], [22, 1]], 1561/81100800], [[[1, 6], [2, 5], [10, 1], [11, 1]], 1/14400], [[[1, 6], [2, 5], [10, 1], [22, 1]], 491/22118400], [[[1, 6], [2, 5], [10, 2], [14, 1]], 19/2150400], [[[1, 6], [2, 5], [14, 1], [16, 1]], 1/172032], [[[1, 6], [2, 7], [3, 1], [4, 5]], 2237/339738624], [[[1, 6], [2, 7], [3, 1], [6, 5]], 283/223948800], [[[1, 6], [2, 7], [3, 1], [11, 1]], 5131/729907200], [[[1, 6], [2, 7], [3, 1], [22, 1]], 6313/364953600], [[[1, 6], [2, 7], [3, 2], [4, 4]], 1223/254803968], [[[1, 6], [2, 7], [3, 2], [5, 2]], 523/1327104000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 10015/214990848], [[[1, 6], [2, 7], [3, 2], [10, 2]], 37/16588800], [[[1, 6], [2, 7], [3, 2], [16, 1]], 1/4423680], [[[1, 6], [2, 7], [3, 3], [4, 3]], 965/573308928], [[[1, 6], [2, 7], [3, 3], [6, 3]], 13/124416], [[[1, 6], [2, 7], [3, 3], [7, 1]], 35/143327232], [[[1, 6], [2, 7], [3, 3], [9, 1]], 607/238878720], [[[1, 6], [2, 7], [3, 4], [4, 2]], 19/424673280], [[[1, 6], [2, 7], [3, 4], [5, 1]], 79/1791590400], [[[1, 6], [2, 7], [3, 4], [6, 2]], 4819/358318080], [[[1, 6], [2, 7], [3, 4], [8, 1]], 23/955514880], [[[1, 6], [2, 7], [3, 4], [10, 1]], 1/29859840], [[[1, 6], [2, 7], [3, 5], [4, 1]], 47/6270566400], [[[1, 6], [2, 7], [3, 5], [6, 1]], 103/1343692800], [[[1, 6], [2, 7], [4, 1], [6, 5]], 559/3583180800], [[[1, 6], [2, 7], [4, 1], [11, 1]], 44441/2270822400], [[[1, 6], [2, 7], [4, 1], [22, 1]], 28661/648806400], [[[1, 6], [2, 7], [4, 2], [5, 2]], 133/12288000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 2839/1274019840], [[[1, 6], [2, 7], [4, 2], [8, 2]], 18461/188743680], [[[1, 6], [2, 7], [4, 2], [10, 2]], 11617/294912000], [[[1, 6], [2, 7], [4, 2], [16, 1]], 11/786432], [[[1, 6], [2, 7], [4, 3], [6, 3]], 1477/143327232], [[[1, 6], [2, 7], [4, 3], [7, 1]], 7871/212336640], [[[1, 6], [2, 7], [4, 3], [14, 1]], 103979/1486356480], [[[1, 6], [2, 7], [4, 4], [5, 1]], 73/4423680], [[[1, 6], [2, 7], [4, 4], [6, 2]], 79393/5096079360], [[[1, 6], [2, 7], [4, 4], [8, 1]], 518333/3397386240], [[[1, 6], [2, 7], [4, 4], [10, 1]], 5789/157286400], [[[1, 6], [2, 7], [4, 4], [12, 1]], 167/10616832], [[[1, 6], [2, 7], [4, 5], [6, 1]], 20879/1698693120], [[[1, 6], [2, 7], [5, 1], [6, 4]], 5/5971968], [[[1, 6], [2, 7], [5, 1], [10, 2]], 1367/17694720], [[[1, 6], [2, 7], [5, 1], [16, 1]], 1/1228800], [[[1, 6], [2, 7], [5, 2], [6, 2]], 1/921600], [[[1, 6], [2, 7], [5, 2], [8, 1]], 77/73728000], [[[1, 6], [2, 7], [5, 2], [10, 1]], 12137/221184000], [[[1, 6], [2, 7], [6, 1], [11, 1]], 487/40550400], [[[1, 6], [2, 7], [6, 1], [22, 1]], 51149/2919628800], [[[1, 6], [2, 7], [6, 2], [8, 2]], 1/35389440], [[[1, 6], [2, 7], [6, 2], [10, 2]], 5563/1327104000], [[[1, 6], [2, 7], [6, 2], [16, 1]], 1/737280], [[[1, 6], [2, 7], [6, 3], [7, 1]], 1/870912], [[[1, 6], [2, 7], [6, 3], [14, 1]], 1999/716636160], [[[1, 6], [2, 7], [6, 3], [18, 1]], 2407/238878720], [[[1, 6], [2, 7], [6, 4], [8, 1]], 397/2866544640], [[[1, 6], [2, 7], [6, 4], [10, 1]], 737/1791590400], [[[1, 6], [2, 7], [7, 1], [14, 1]], 53969/1734082560], [[[1, 6], [2, 7], [8, 1], [10, 2]], 1579/552960000], [[[1, 6], [2, 7], [8, 2], [10, 1]], 1/9830400], [[[1, 6], [2, 7], [10, 1], [16, 1]], 1/460800], [[[1, 6], [2, 9], [3, 1], [4, 4]], 27937/10192158720], [[[1, 6], [2, 9], [3, 1], [5, 2]], 491/9289728000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 23719/2866544640], [[[1, 6], [2, 9], [3, 1], [10, 2]], 877/414720000], [[[1, 6], [2, 9], [3, 2], [4, 3]], 527/990904320], [[[1, 6], [2, 9], [3, 2], [6, 3]], 4166861/120394874880], [[[1, 6], [2, 9], [3, 2], [7, 1]], 173/2601123840], [[[1, 6], [2, 9], [3, 2], [9, 1]], 949/3822059520], [[[1, 6], [2, 9], [3, 2], [14, 1]], 295/390168576], [[[1, 6], [2, 9], [3, 3], [4, 2]], 569/10032906240], [[[1, 6], [2, 9], [3, 3], [5, 1]], 113/33443020800], [[[1, 6], [2, 9], [3, 3], [6, 2]], 6431/1337720832], [[[1, 6], [2, 9], [3, 3], [8, 1]], 1/477757440], [[[1, 6], [2, 9], [3, 4], [4, 1]], 137/64210599936], [[[1, 6], [2, 9], [3, 4], [6, 1]], 2857/40131624960], [[[1, 6], [2, 9], [4, 1], [5, 2]], 13739/49545216000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 68177/22932357120], [[[1, 6], [2, 9], [4, 1], [8, 2]], 467/117964800], [[[1, 6], [2, 9], [4, 1], [10, 2]], 933901/61931520000], [[[1, 6], [2, 9], [4, 1], [16, 1]], 11/17694720], [[[1, 6], [2, 9], [4, 2], [6, 3]], 4601/318504960], [[[1, 6], [2, 9], [4, 2], [7, 1]], 232339/69363302400], [[[1, 6], [2, 9], [4, 2], [14, 1]], 1983629/69363302400], [[[1, 6], [2, 9], [4, 3], [5, 1]], 3/819200], [[[1, 6], [2, 9], [4, 3], [6, 2]], 16697/637009920], [[[1, 6], [2, 9], [4, 3], [8, 1]], 248509/5284823040], [[[1, 6], [2, 9], [4, 3], [10, 1]], 106219/3715891200], [[[1, 6], [2, 9], [4, 3], [12, 1]], 1241/371589120], [[[1, 6], [2, 9], [4, 4], [6, 1]], 335017/17836277760], [[[1, 6], [2, 9], [5, 1], [6, 3]], 217/149299200], [[[1, 6], [2, 9], [5, 1], [7, 1]], 677/4954521600], [[[1, 6], [2, 9], [5, 1], [14, 1]], 461/180633600], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/9216000], [[[1, 6], [2, 9], [6, 1], [8, 2]], 1/23592960], [[[1, 6], [2, 9], [6, 1], [10, 2]], 9661/1474560000], [[[1, 6], [2, 9], [6, 1], [16, 1]], 1/2949120], [[[1, 6], [2, 9], [6, 2], [7, 1]], 23/18579456], [[[1, 6], [2, 9], [6, 2], [14, 1]], 229259/33443020800], [[[1, 6], [2, 9], [6, 2], [18, 1]], 481601/66886041600], [[[1, 6], [2, 9], [6, 3], [8, 1]], 17441/25082265600], [[[1, 6], [2, 9], [6, 3], [10, 1]], 224197/71663616000], [[[1, 6], [2, 9], [7, 1], [8, 1]], 67/495452160], [[[1, 6], [2, 9], [7, 1], [10, 1]], 11/8601600], [[[1, 6], [2, 9], [8, 1], [14, 1]], 130001/78033715200], [[[1, 6], [2, 9], [10, 1], [14, 1]], 385271/52022476800], [[[1, 6], [2, 11], [3, 1], [4, 3]], 75427/237817036800], [[[1, 6], [2, 11], [3, 1], [6, 3]], 149609/38220595200], [[[1, 6], [2, 11], [3, 1], [7, 1]], 11/5202247680], [[[1, 6], [2, 11], [3, 1], [9, 1]], 29/8918138880], [[[1, 6], [2, 11], [3, 1], [14, 1]], 10321/39016857600], [[[1, 6], [2, 11], [3, 2], [4, 2]], 57137/1070176665600], [[[1, 6], [2, 11], [3, 2], [5, 1]], 31/89181388800], [[[1, 6], [2, 11], [3, 2], [6, 2]], 22590443/9631589990400], [[[1, 6], [2, 11], [3, 2], [8, 1]], 1/4246732800], [[[1, 6], [2, 11], [3, 2], [10, 1]], 227/4180377600], [[[1, 6], [2, 11], [3, 3], [4, 1]], 13/22932357120], [[[1, 6], [2, 11], [3, 3], [6, 1]], 13001/229323571200], [[[1, 6], [2, 11], [4, 1], [6, 3]], 108919/33443020800], [[[1, 6], [2, 11], [4, 1], [7, 1]], 35269/416179814400], [[[1, 6], [2, 11], [4, 1], [14, 1]], 229711/89181388800], [[[1, 6], [2, 11], [4, 2], [5, 1]], 359/1327104000], [[[1, 6], [2, 11], [4, 2], [6, 2]], 891383/118908518400], [[[1, 6], [2, 11], [4, 2], [8, 1]], 1629769/475634073600], [[[1, 6], [2, 11], [4, 2], [10, 1]], 4606159/891813888000], [[[1, 6], [2, 11], [4, 2], [12, 1]], 4789/33443020800], [[[1, 6], [2, 11], [4, 3], [6, 1]], 536321/91729428480], [[[1, 6], [2, 11], [5, 1], [6, 2]], 397/1393459200], [[[1, 6], [2, 11], [5, 1], [8, 1]], 29/8257536000], [[[1, 6], [2, 11], [5, 1], [10, 1]], 20437/27869184000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 421/5202247680], [[[1, 6], [2, 11], [6, 1], [14, 1]], 565483/351151718400], [[[1, 6], [2, 11], [6, 1], [18, 1]], 92191/200658124800], [[[1, 6], [2, 11], [6, 2], [8, 1]], 251449/1003290624000], [[[1, 6], [2, 11], [6, 2], [10, 1]], 1424251/668860416000], [[[1, 6], [2, 11], [8, 1], [10, 1]], 271157/1532805120000], [[[1, 6], [2, 13], [3, 1], [4, 2]], 2523133/141263319859200], [[[1, 6], [2, 13], [3, 1], [5, 1]], 3181/10701766656000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 433723/1576599552000], [[[1, 6], [2, 13], [3, 1], [8, 1]], 4391/5885971660800], [[[1, 6], [2, 13], [3, 1], [10, 1]], 23939/1724405760000], [[[1, 6], [2, 13], [3, 2], [4, 1]], 2969/1569592442880], [[[1, 6], [2, 13], [3, 2], [6, 1]], 680963/52973744947200], [[[1, 6], [2, 13], [4, 1], [5, 1]], 450259/58859716608000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 2139257/4013162496000], [[[1, 6], [2, 13], [4, 1], [8, 1]], 4666379/78479622144000], [[[1, 6], [2, 13], [4, 1], [10, 1]], 19176617/73574645760000], [[[1, 6], [2, 13], [4, 1], [12, 1]], 13081/8828957491200], [[[1, 6], [2, 13], [4, 2], [6, 1]], 2196031/3923981107200], [[[1, 6], [2, 13], [5, 1], [6, 1]], 17483/1839366144000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 5309/407586816000], [[[1, 6], [2, 13], [6, 1], [10, 1]], 93137419/441447874560000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 6928771/18364231581696000], [[[1, 6], [2, 15], [3, 1], [6, 1]], 83878217/25709924214374400], [[[1, 6], [2, 15], [4, 1], [6, 1]], 28853609/1669475598336000], [[[1, 7], [2, 2], [3, 2], [4, 6]], 1/28311552], [[[1, 7], [2, 2], [3, 2], [5, 3]], 23/1152000], [[[1, 7], [2, 2], [3, 2], [7, 2]], 1/12096], [[[1, 7], [2, 2], [3, 2], [9, 2]], 1/12960], [[[1, 7], [2, 2], [3, 2], [13, 1]], 95/1437696], [[[1, 7], [2, 2], [3, 3], [4, 5]], 1/23887872], [[[1, 7], [2, 2], [3, 3], [11, 1]], 29/684288], [[[1, 7], [2, 2], [3, 4], [4, 4]], 55/382205952], [[[1, 7], [2, 2], [3, 4], [5, 2]], 11/2073600], [[[1, 7], [2, 2], [3, 4], [8, 2]], 1/2654208], [[[1, 7], [2, 2], [3, 4], [16, 1]], 7/2985984], [[[1, 7], [2, 2], [3, 5], [4, 3]], 1/5971968], [[[1, 7], [2, 2], [3, 5], [7, 1]], 41/13063680], [[[1, 7], [2, 2], [3, 5], [9, 1]], 7/373248], [[[1, 7], [2, 2], [3, 5], [14, 1]], 1/3265920], [[[1, 7], [2, 2], [3, 6], [4, 2]], 13/89579520], [[[1, 7], [2, 2], [3, 6], [5, 1]], 1/4199040], [[[1, 7], [2, 2], [3, 6], [6, 2]], 113/12597120], [[[1, 7], [2, 2], [3, 6], [8, 1]], 1/11197440], [[[1, 7], [2, 2], [3, 6], [10, 1]], 1/6998400], [[[1, 7], [2, 2], [3, 7], [4, 1]], 1/12597120], [[[1, 7], [2, 2], [3, 7], [6, 1]], 1/1574640], [[[1, 7], [2, 2], [4, 2], [5, 3]], 187/6144000], [[[1, 7], [2, 2], [4, 2], [7, 2]], 597/16056320], [[[1, 7], [2, 2], [4, 2], [8, 3]], 41/7864320], [[[1, 7], [2, 2], [4, 2], [13, 1]], 97/2129920], [[[1, 7], [2, 2], [4, 3], [11, 1]], 353/32440320], [[[1, 7], [2, 2], [4, 4], [5, 2]], 1/230400], [[[1, 7], [2, 2], [4, 4], [8, 2]], 43/15728640], [[[1, 7], [2, 2], [4, 5], [7, 1]], 11/82575360], [[[1, 7], [2, 2], [4, 6], [5, 1]], 1/23592960], [[[1, 7], [2, 2], [4, 6], [8, 1]], 1/6291456], [[[1, 7], [2, 2], [5, 1], [7, 2]], 47/301056], [[[1, 7], [2, 2], [5, 1], [13, 1]], 23/199680], [[[1, 7], [2, 2], [5, 2], [8, 2]], 1/307200], [[[1, 7], [2, 2], [5, 2], [16, 1]], 1/144000], [[[1, 7], [2, 2], [5, 3], [6, 2]], 1/5184000], [[[1, 7], [2, 2], [5, 3], [8, 1]], 13/9216000], [[[1, 7], [2, 2], [5, 3], [10, 1]], 199/5760000], [[[1, 7], [2, 2], [6, 2], [7, 2]], 1/1354752], [[[1, 7], [2, 2], [6, 2], [13, 1]], 1/539136], [[[1, 7], [2, 2], [6, 2], [26, 1]], 1/21565440], [[[1, 7], [2, 2], [7, 1], [11, 1]], 1/6160], [[[1, 7], [2, 2], [7, 2], [8, 1]], 1/172032], [[[1, 7], [2, 2], [7, 2], [10, 1]], 1/376320], [[[1, 7], [2, 2], [8, 1], [13, 1]], 1/59904], [[[1, 7], [2, 2], [8, 1], [14, 2]], 1/12042240], [[[1, 7], [2, 2], [8, 1], [26, 1]], 1/1597440], [[[1, 7], [2, 2], [10, 1], [13, 1]], 1/149760], [[[1, 7], [2, 2], [11, 1], [14, 1]], 1/147840], [[[1, 7], [2, 4], [3, 1], [4, 6]], 47/28311552], [[[1, 7], [2, 4], [3, 1], [5, 3]], 493/27648000], [[[1, 7], [2, 4], [3, 1], [7, 2]], 241/3612672], [[[1, 7], [2, 4], [3, 1], [10, 3]], 1/69120000], [[[1, 7], [2, 4], [3, 1], [13, 1]], 1871/38338560], [[[1, 7], [2, 4], [3, 1], [14, 2]], 11/9031680], [[[1, 7], [2, 4], [3, 1], [26, 1]], 1/112320], [[[1, 7], [2, 4], [3, 2], [4, 5]], 1/331776], [[[1, 7], [2, 4], [3, 2], [11, 1]], 5/110592], [[[1, 7], [2, 4], [3, 2], [22, 1]], 1/202752], [[[1, 7], [2, 4], [3, 3], [4, 4]], 2011/573308928], [[[1, 7], [2, 4], [3, 3], [5, 2]], 67/11059200], [[[1, 7], [2, 4], [3, 3], [6, 4]], 1/373248], [[[1, 7], [2, 4], [3, 3], [8, 2]], 1/3981312], [[[1, 7], [2, 4], [3, 3], [16, 1]], 1/248832], [[[1, 7], [2, 4], [3, 4], [4, 3]], 5983/1719926784], [[[1, 7], [2, 4], [3, 4], [6, 3]], 115/1679616], [[[1, 7], [2, 4], [3, 4], [7, 1]], 181/41803776], [[[1, 7], [2, 4], [3, 4], [9, 1]], 359/17915904], [[[1, 7], [2, 4], [3, 4], [14, 1]], 1/580608], [[[1, 7], [2, 4], [3, 5], [4, 2]], 181/95551488], [[[1, 7], [2, 4], [3, 5], [5, 1]], 73/223948800], [[[1, 7], [2, 4], [3, 5], [6, 2]], 161/3732480], [[[1, 7], [2, 4], [3, 5], [8, 1]], 13/59719680], [[[1, 7], [2, 4], [3, 5], [10, 1]], 13/13996800], [[[1, 7], [2, 4], [3, 6], [4, 1]], 11/67184640], [[[1, 7], [2, 4], [3, 6], [6, 1]], 151/100776960], [[[1, 7], [2, 4], [4, 1], [5, 3]], 4273/110592000], [[[1, 7], [2, 4], [4, 1], [7, 2]], 4453/36126720], [[[1, 7], [2, 4], [4, 1], [8, 3]], 1/262144], [[[1, 7], [2, 4], [4, 1], [10, 3]], 1303/3870720000], [[[1, 7], [2, 4], [4, 1], [13, 1]], 581/5750784], [[[1, 7], [2, 4], [4, 1], [14, 2]], 473/505774080], [[[1, 7], [2, 4], [4, 1], [26, 1]], 43/6289920], [[[1, 7], [2, 4], [4, 2], [11, 1]], 1561/12976128], [[[1, 7], [2, 4], [4, 2], [22, 1]], 57/7208960], [[[1, 7], [2, 4], [4, 3], [5, 2]], 43883/663552000], [[[1, 7], [2, 4], [4, 3], [8, 2]], 9997/47185920], [[[1, 7], [2, 4], [4, 3], [10, 2]], 31/35389440], [[[1, 7], [2, 4], [4, 3], [16, 1]], 1/147456], [[[1, 7], [2, 4], [4, 4], [7, 1]], 27991/990904320], [[[1, 7], [2, 4], [4, 4], [14, 1]], 37/11010048], [[[1, 7], [2, 4], [4, 5], [5, 1]], 13/1966080], [[[1, 7], [2, 4], [4, 5], [6, 2]], 1/42467328], [[[1, 7], [2, 4], [4, 5], [8, 1]], 1411/62914560], [[[1, 7], [2, 4], [4, 5], [10, 1]], 1/11796480], [[[1, 7], [2, 4], [4, 5], [12, 1]], 35/7077888], [[[1, 7], [2, 4], [4, 6], [6, 1]], 17/169869312], [[[1, 7], [2, 4], [5, 1], [11, 1]], 12541/162201600], [[[1, 7], [2, 4], [5, 1], [22, 1]], 1/168960], [[[1, 7], [2, 4], [5, 2], [7, 1]], 439/6451200], [[[1, 7], [2, 4], [5, 2], [14, 1]], 1/67200], [[[1, 7], [2, 4], [5, 3], [6, 1]], 169/20736000], [[[1, 7], [2, 4], [6, 1], [7, 2]], 313/54190080], [[[1, 7], [2, 4], [6, 1], [10, 3]], 1/414720000], [[[1, 7], [2, 4], [6, 1], [13, 1]], 439/21565440], [[[1, 7], [2, 4], [6, 1], [14, 2]], 1/3386880], [[[1, 7], [2, 4], [6, 1], [26, 1]], 473/172523520], [[[1, 7], [2, 4], [6, 2], [11, 1]], 47/4561920], [[[1, 7], [2, 4], [6, 2], [22, 1]], 1/1140480], [[[1, 7], [2, 4], [6, 3], [10, 2]], 1/497664000], [[[1, 7], [2, 4], [6, 4], [14, 1]], 1/627056640], [[[1, 7], [2, 4], [6, 4], [18, 1]], 1/89579520], [[[1, 7], [2, 4], [7, 1], [8, 2]], 1/589824], [[[1, 7], [2, 4], [7, 1], [16, 1]], 13/1290240], [[[1, 7], [2, 4], [8, 1], [11, 1]], 43/1474560], [[[1, 7], [2, 4], [8, 1], [22, 1]], 13/3244032], [[[1, 7], [2, 4], [10, 1], [11, 1]], 23/633600], [[[1, 7], [2, 4], [10, 1], [22, 1]], 457/243302400], [[[1, 7], [2, 4], [10, 2], [14, 1]], 1/2150400], [[[1, 7], [2, 6], [3, 1], [4, 5]], 20879/1698693120], [[[1, 7], [2, 6], [3, 1], [6, 5]], 103/1343692800], [[[1, 7], [2, 6], [3, 1], [11, 1]], 51149/2919628800], [[[1, 7], [2, 6], [3, 1], [22, 1]], 487/40550400], [[[1, 7], [2, 6], [3, 2], [4, 4]], 79393/5096079360], [[[1, 7], [2, 6], [3, 2], [5, 2]], 5563/1327104000], [[[1, 7], [2, 6], [3, 2], [6, 4]], 4819/358318080], [[[1, 7], [2, 6], [3, 2], [8, 2]], 1/35389440], [[[1, 7], [2, 6], [3, 2], [10, 2]], 1/921600], [[[1, 7], [2, 6], [3, 2], [16, 1]], 1/737280], [[[1, 7], [2, 6], [3, 3], [4, 3]], 1477/143327232], [[[1, 7], [2, 6], [3, 3], [6, 3]], 13/124416], [[[1, 7], [2, 6], [3, 3], [7, 1]], 1999/716636160], [[[1, 7], [2, 6], [3, 3], [9, 1]], 2407/238878720], [[[1, 7], [2, 6], [3, 3], [14, 1]], 1/870912], [[[1, 7], [2, 6], [3, 4], [4, 2]], 2839/1274019840], [[[1, 7], [2, 6], [3, 4], [5, 1]], 737/1791590400], [[[1, 7], [2, 6], [3, 4], [6, 2]], 10015/214990848], [[[1, 7], [2, 6], [3, 4], [8, 1]], 397/2866544640], [[[1, 7], [2, 6], [3, 4], [10, 1]], 5/5971968], [[[1, 7], [2, 6], [3, 5], [4, 1]], 559/3583180800], [[[1, 7], [2, 6], [3, 5], [6, 1]], 283/223948800], [[[1, 7], [2, 6], [4, 1], [6, 5]], 47/6270566400], [[[1, 7], [2, 6], [4, 1], [11, 1]], 28661/648806400], [[[1, 7], [2, 6], [4, 1], [22, 1]], 44441/2270822400], [[[1, 7], [2, 6], [4, 2], [5, 2]], 11617/294912000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 19/424673280], [[[1, 7], [2, 6], [4, 2], [8, 2]], 18461/188743680], [[[1, 7], [2, 6], [4, 2], [10, 2]], 133/12288000], [[[1, 7], [2, 6], [4, 2], [16, 1]], 11/786432], [[[1, 7], [2, 6], [4, 3], [6, 3]], 965/573308928], [[[1, 7], [2, 6], [4, 3], [7, 1]], 103979/1486356480], [[[1, 7], [2, 6], [4, 3], [14, 1]], 7871/212336640], [[[1, 7], [2, 6], [4, 4], [5, 1]], 5789/157286400], [[[1, 7], [2, 6], [4, 4], [6, 2]], 1223/254803968], [[[1, 7], [2, 6], [4, 4], [8, 1]], 518333/3397386240], [[[1, 7], [2, 6], [4, 4], [10, 1]], 73/4423680], [[[1, 7], [2, 6], [4, 4], [12, 1]], 167/10616832], [[[1, 7], [2, 6], [4, 5], [6, 1]], 2237/339738624], [[[1, 7], [2, 6], [5, 1], [6, 4]], 1/29859840], [[[1, 7], [2, 6], [5, 1], [8, 2]], 1/9830400], [[[1, 7], [2, 6], [5, 1], [10, 2]], 12137/221184000], [[[1, 7], [2, 6], [5, 1], [16, 1]], 1/460800], [[[1, 7], [2, 6], [5, 2], [6, 2]], 37/16588800], [[[1, 7], [2, 6], [5, 2], [8, 1]], 1579/552960000], [[[1, 7], [2, 6], [5, 2], [10, 1]], 1367/17694720], [[[1, 7], [2, 6], [6, 1], [11, 1]], 6313/364953600], [[[1, 7], [2, 6], [6, 1], [22, 1]], 5131/729907200], [[[1, 7], [2, 6], [6, 2], [10, 2]], 523/1327104000], [[[1, 7], [2, 6], [6, 2], [16, 1]], 1/4423680], [[[1, 7], [2, 6], [6, 3], [14, 1]], 35/143327232], [[[1, 7], [2, 6], [6, 3], [18, 1]], 607/238878720], [[[1, 7], [2, 6], [6, 4], [8, 1]], 23/955514880], [[[1, 7], [2, 6], [6, 4], [10, 1]], 79/1791590400], [[[1, 7], [2, 6], [7, 1], [14, 1]], 53969/1734082560], [[[1, 7], [2, 6], [8, 1], [10, 2]], 77/73728000], [[[1, 7], [2, 6], [10, 1], [16, 1]], 1/1228800], [[[1, 7], [2, 8], [3, 1], [4, 4]], 132851/10192158720], [[[1, 7], [2, 8], [3, 1], [5, 2]], 5197/7431782400], [[[1, 7], [2, 8], [3, 1], [6, 4]], 371/107495424], [[[1, 7], [2, 8], [3, 1], [10, 2]], 67/30720000], [[[1, 7], [2, 8], [3, 1], [16, 1]], 1/8847360], [[[1, 7], [2, 8], [3, 2], [4, 3]], 71/11796480], [[[1, 7], [2, 8], [3, 2], [6, 3]], 40909/1146617856], [[[1, 7], [2, 8], [3, 2], [7, 1]], 839/1156055040], [[[1, 7], [2, 8], [3, 2], [9, 1]], 26473/14863564800], [[[1, 7], [2, 8], [3, 2], [14, 1]], 113/92897280], [[[1, 7], [2, 8], [3, 3], [4, 2]], 20623/20065812480], [[[1, 7], [2, 8], [3, 3], [5, 1]], 22207/200658124800], [[[1, 7], [2, 8], [3, 3], [6, 2]], 52759/2866544640], [[[1, 7], [2, 8], [3, 3], [8, 1]], 11/238878720], [[[1, 7], [2, 8], [3, 3], [10, 1]], 19/149299200], [[[1, 7], [2, 8], [3, 4], [4, 1]], 5/84934656], [[[1, 7], [2, 8], [3, 4], [6, 1]], 91/134369280], [[[1, 7], [2, 8], [4, 1], [5, 2]], 281093/92897280000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 63229/80263249920], [[[1, 7], [2, 8], [4, 1], [8, 2]], 69241/9909043200], [[[1, 7], [2, 8], [4, 1], [10, 2]], 3693461/371589120000], [[[1, 7], [2, 8], [4, 1], [16, 1]], 1/655360], [[[1, 7], [2, 8], [4, 2], [6, 3]], 6047/955514880], [[[1, 7], [2, 8], [4, 2], [7, 1]], 1092907/69363302400], [[[1, 7], [2, 8], [4, 2], [14, 1]], 297971/9909043200], [[[1, 7], [2, 8], [4, 3], [5, 1]], 427/26542080], [[[1, 7], [2, 8], [4, 3], [6, 2]], 37363/1911029760], [[[1, 7], [2, 8], [4, 3], [8, 1]], 18839/226492416], [[[1, 7], [2, 8], [4, 3], [10, 1]], 673/21233664], [[[1, 7], [2, 8], [4, 3], [12, 1]], 179/26542080], [[[1, 7], [2, 8], [4, 4], [6, 1]], 15047/637009920], [[[1, 7], [2, 8], [5, 1], [6, 3]], 67/74649600], [[[1, 7], [2, 8], [5, 1], [7, 1]], 51101/34681651200], [[[1, 7], [2, 8], [5, 1], [14, 1]], 41/11059200], [[[1, 7], [2, 8], [5, 2], [6, 1]], 293/331776000], [[[1, 7], [2, 8], [6, 1], [8, 2]], 1/70778880], [[[1, 7], [2, 8], [6, 1], [10, 2]], 5293/1658880000], [[[1, 7], [2, 8], [6, 1], [16, 1]], 1/2949120], [[[1, 7], [2, 8], [6, 2], [7, 1]], 137/92897280], [[[1, 7], [2, 8], [6, 2], [14, 1]], 1721/522547200], [[[1, 7], [2, 8], [6, 2], [18, 1]], 338987/66886041600], [[[1, 7], [2, 8], [6, 3], [8, 1]], 323/1194393600], [[[1, 7], [2, 8], [6, 3], [10, 1]], 18053/17915904000], [[[1, 7], [2, 8], [7, 1], [8, 1]], 37/51609600], [[[1, 7], [2, 8], [7, 1], [10, 1]], 221/77414400], [[[1, 7], [2, 8], [8, 1], [14, 1]], 53/33868800], [[[1, 7], [2, 8], [10, 1], [14, 1]], 35723/7431782400], [[[1, 7], [2, 10], [3, 1], [4, 3]], 713869/356725555200], [[[1, 7], [2, 10], [3, 1], [6, 3]], 11418457/2407897497600], [[[1, 7], [2, 10], [3, 1], [7, 1]], 1487/31213486080], [[[1, 7], [2, 10], [3, 1], [9, 1]], 7219/133772083200], [[[1, 7], [2, 10], [3, 1], [14, 1]], 78551/117050572800], [[[1, 7], [2, 10], [3, 2], [4, 2]], 57817/142690222080], [[[1, 7], [2, 10], [3, 2], [5, 1]], 1321/89181388800], [[[1, 7], [2, 10], [3, 2], [6, 2]], 6677533/1070176665600], [[[1, 7], [2, 10], [3, 2], [8, 1]], 13/2123366400], [[[1, 7], [2, 10], [3, 2], [10, 1]], 419/2786918400], [[[1, 7], [2, 10], [3, 3], [4, 1]], 89/4459069440], [[[1, 7], [2, 10], [3, 3], [6, 1]], 101977/321052999680], [[[1, 7], [2, 10], [4, 1], [6, 3]], 7917857/2809213747200], [[[1, 7], [2, 10], [4, 1], [7, 1]], 213739/416179814400], [[[1, 7], [2, 10], [4, 1], [14, 1]], 53810611/13109664153600], [[[1, 7], [2, 10], [4, 2], [5, 1]], 100061/66060288000], [[[1, 7], [2, 10], [4, 2], [6, 2]], 249191/25480396800], [[[1, 7], [2, 10], [4, 2], [8, 1]], 533581/59454259200], [[[1, 7], [2, 10], [4, 2], [10, 1]], 230089/24772608000], [[[1, 7], [2, 10], [4, 2], [12, 1]], 131/318504960], [[[1, 7], [2, 10], [4, 3], [6, 1]], 25744811/2140353331200], [[[1, 7], [2, 10], [5, 1], [6, 2]], 1/1769472], [[[1, 7], [2, 10], [5, 1], [8, 1]], 1/36864000], [[[1, 7], [2, 10], [5, 1], [10, 1]], 1123/557383680], [[[1, 7], [2, 10], [6, 1], [7, 1]], 211/743178240], [[[1, 7], [2, 10], [6, 1], [14, 1]], 165769/87787929600], [[[1, 7], [2, 10], [6, 1], [18, 1]], 21559/28665446400], [[[1, 7], [2, 10], [6, 2], [8, 1]], 533/1783627776], [[[1, 7], [2, 10], [6, 2], [10, 1]], 1215461/668860416000], [[[1, 7], [2, 10], [8, 1], [10, 1]], 65089/222953472000], [[[1, 7], [2, 12], [3, 1], [4, 2]], 17796211/141263319859200], [[[1, 7], [2, 12], [3, 1], [5, 1]], 281/132120576000], [[[1, 7], [2, 12], [3, 1], [6, 2]], 634487/859963392000], [[[1, 7], [2, 12], [3, 1], [8, 1]], 397/133772083200], [[[1, 7], [2, 12], [3, 1], [10, 1]], 76289/1313832960000], [[[1, 7], [2, 12], [3, 2], [4, 1]], 21323/1605264998400], [[[1, 7], [2, 12], [3, 2], [6, 1]], 319967/4013162496000], [[[1, 7], [2, 12], [4, 1], [5, 1]], 14681/297271296000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 59921063/56184274944000], [[[1, 7], [2, 12], [4, 1], [8, 1]], 103628683/470877732864000], [[[1, 7], [2, 12], [4, 1], [10, 1]], 687211183/1030045040640000], [[[1, 7], [2, 12], [4, 1], [12, 1]], 9089/1605264998400], [[[1, 7], [2, 12], [4, 2], [6, 1]], 117589/71345111040], [[[1, 7], [2, 12], [5, 1], [6, 1]], 13823/334430208000], [[[1, 7], [2, 12], [6, 1], [8, 1]], 2159029/58859716608000], [[[1, 7], [2, 12], [6, 1], [10, 1]], 170833799/441447874560000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 423336863/128549621071872000], [[[1, 7], [2, 14], [3, 1], [6, 1]], 7453463/440741557960704], [[[1, 7], [2, 14], [4, 1], [6, 1]], 8788759279/128549621071872000], [[[1, 7], [3, 1], [4, 2], [5, 3]], 1/460800], [[[1, 7], [3, 1], [4, 2], [7, 2]], 1/602112], [[[1, 7], [3, 1], [4, 2], [13, 1]], 41/9584640], [[[1, 7], [3, 1], [4, 4], [5, 2]], 1/22118400], [[[1, 7], [3, 1], [5, 1], [7, 2]], 1/15680], [[[1, 7], [3, 1], [5, 1], [13, 1]], 17/299520], [[[1, 7], [3, 1], [5, 2], [8, 2]], 1/460800], [[[1, 7], [3, 1], [5, 2], [15, 1]], 1/115200], [[[1, 7], [3, 1], [7, 1], [11, 1]], 1/14784], [[[1, 7], [3, 1], [9, 1], [11, 1]], 1/47520], [[[1, 7], [3, 2], [4, 2], [11, 1]], 1/202752], [[[1, 7], [3, 2], [4, 4], [7, 1]], 1/18579456], [[[1, 7], [3, 2], [4, 4], [9, 1]], 1/15925248], [[[1, 7], [3, 2], [5, 1], [11, 1]], 5/76032], [[[1, 7], [3, 2], [5, 2], [7, 1]], 1/22400], [[[1, 7], [3, 2], [5, 2], [9, 1]], 1/12960], [[[1, 7], [3, 2], [7, 1], [8, 2]], 1/387072], [[[1, 7], [3, 2], [8, 2], [9, 1]], 1/331776], [[[1, 7], [3, 3], [4, 2], [5, 2]], 11/8294400], [[[1, 7], [3, 3], [4, 4], [5, 1]], 1/39813120], [[[1, 7], [3, 3], [5, 1], [8, 2]], 1/829440], [[[1, 7], [3, 3], [5, 1], [15, 1]], 1/103680], [[[1, 7], [3, 3], [7, 1], [9, 1]], 29/435456], [[[1, 7], [3, 4], [4, 2], [7, 1]], 1/3483648], [[[1, 7], [3, 4], [4, 2], [9, 1]], 1/497664], [[[1, 7], [3, 4], [5, 1], [7, 1]], 1/136080], [[[1, 7], [3, 4], [5, 1], [9, 1]], 11/233280], [[[1, 7], [3, 5], [4, 2], [5, 1]], 1/18662400], [[[1, 7], [3, 5], [4, 2], [12, 1]], 1/5598720], [[[1, 7], [3, 6], [4, 1], [8, 1]], 1/11197440], [[[1, 7], [4, 1], [5, 3], [8, 1]], 1/2304000], [[[1, 7], [4, 1], [7, 2], [8, 1]], 1/602112], [[[1, 7], [4, 1], [8, 1], [13, 1]], 1/239616], [[[1, 7], [4, 1], [8, 2], [16, 1]], 1/983040], [[[1, 7], [4, 2], [5, 1], [11, 1]], 17/13516800], [[[1, 7], [4, 2], [5, 2], [7, 1]], 1/537600], [[[1, 7], [4, 2], [11, 1], [12, 1]], 1/253440], [[[1, 7], [4, 4], [5, 1], [7, 1]], 1/20643840], [[[1, 7], [5, 1], [7, 1], [8, 2]], 1/430080], [[[1, 8], [2, 1], [3, 2], [5, 3]], 451/20736000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 1/24192], [[[1, 8], [2, 1], [3, 2], [9, 2]], 11/816480], [[[1, 8], [2, 1], [3, 2], [13, 1]], 431/21565440], [[[1, 8], [2, 1], [3, 3], [4, 5]], 1/95551488], [[[1, 8], [2, 1], [3, 3], [11, 1]], 71/3421440], [[[1, 8], [2, 1], [3, 4], [4, 4]], 7/1146617856], [[[1, 8], [2, 1], [3, 4], [5, 2]], 149/18662400], [[[1, 8], [2, 1], [3, 4], [8, 2]], 7/23887872], [[[1, 8], [2, 1], [3, 4], [16, 1]], 1/2985984], [[[1, 8], [2, 1], [3, 5], [4, 3]], 7/89579520], [[[1, 8], [2, 1], [3, 5], [7, 1]], 19/5598720], [[[1, 8], [2, 1], [3, 5], [9, 1]], 49/3359232], [[[1, 8], [2, 1], [3, 6], [4, 2]], 1/29859840], [[[1, 8], [2, 1], [3, 6], [5, 1]], 13/20995200], [[[1, 8], [2, 1], [3, 6], [8, 1]], 1/11197440], [[[1, 8], [2, 1], [3, 7], [4, 1]], 1/12597120], [[[1, 8], [2, 1], [3, 7], [6, 1]], 1/1574640], [[[1, 8], [2, 1], [4, 2], [5, 3]], 149/184320000], [[[1, 8], [2, 1], [4, 2], [7, 2]], 11/24084480], [[[1, 8], [2, 1], [4, 2], [8, 3]], 1/7864320], [[[1, 8], [2, 1], [4, 2], [13, 1]], 1/798720], [[[1, 8], [2, 1], [4, 3], [11, 1]], 29/32440320], [[[1, 8], [2, 1], [4, 4], [5, 2]], 1/55296000], [[[1, 8], [2, 1], [4, 5], [7, 1]], 1/82575360], [[[1, 8], [2, 1], [5, 1], [7, 2]], 43/752640], [[[1, 8], [2, 1], [5, 1], [13, 1]], 1/37440], [[[1, 8], [2, 1], [5, 2], [8, 2]], 1/1152000], [[[1, 8], [2, 1], [5, 2], [16, 1]], 1/2304000], [[[1, 8], [2, 1], [5, 3], [8, 1]], 1/9216000], [[[1, 8], [2, 1], [5, 3], [10, 1]], 1/384000], [[[1, 8], [2, 1], [7, 1], [11, 1]], 13/295680], [[[1, 8], [2, 1], [7, 2], [8, 1]], 1/2408448], [[[1, 8], [2, 1], [8, 1], [13, 1]], 1/958464], [[[1, 8], [2, 3], [3, 1], [4, 6]], 11/283115520], [[[1, 8], [2, 3], [3, 1], [5, 3]], 47/1843200], [[[1, 8], [2, 3], [3, 1], [7, 2]], 437/6773760], [[[1, 8], [2, 3], [3, 1], [13, 1]], 2257/80510976], [[[1, 8], [2, 3], [3, 1], [14, 2]], 1/18063360], [[[1, 8], [2, 3], [3, 1], [26, 1]], 1/2396160], [[[1, 8], [2, 3], [3, 2], [4, 5]], 59/42467328], [[[1, 8], [2, 3], [3, 2], [11, 1]], 7/168960], [[[1, 8], [2, 3], [3, 3], [4, 4]], 217/95551488], [[[1, 8], [2, 3], [3, 3], [5, 2]], 1699/99532800], [[[1, 8], [2, 3], [3, 3], [8, 2]], 1/1990656], [[[1, 8], [2, 3], [3, 3], [16, 1]], 1/414720], [[[1, 8], [2, 3], [3, 4], [4, 3]], 4723/1719926784], [[[1, 8], [2, 3], [3, 4], [6, 3]], 29/3359232], [[[1, 8], [2, 3], [3, 4], [7, 1]], 449/41803776], [[[1, 8], [2, 3], [3, 4], [9, 1]], 571/17915904], [[[1, 8], [2, 3], [3, 4], [14, 1]], 1/746496], [[[1, 8], [2, 3], [3, 5], [4, 2]], 631/238878720], [[[1, 8], [2, 3], [3, 5], [5, 1]], 1/497664], [[[1, 8], [2, 3], [3, 5], [6, 2]], 1087/33592320], [[[1, 8], [2, 3], [3, 5], [8, 1]], 103/179159040], [[[1, 8], [2, 3], [3, 5], [10, 1]], 7/9331200], [[[1, 8], [2, 3], [3, 6], [4, 1]], 11/13436928], [[[1, 8], [2, 3], [3, 6], [6, 1]], 49/11197440], [[[1, 8], [2, 3], [4, 1], [5, 3]], 707/22118400], [[[1, 8], [2, 3], [4, 1], [7, 2]], 257/3440640], [[[1, 8], [2, 3], [4, 1], [8, 3]], 17/11796480], [[[1, 8], [2, 3], [4, 1], [10, 3]], 1/3870720000], [[[1, 8], [2, 3], [4, 1], [13, 1]], 67/1797120], [[[1, 8], [2, 3], [4, 1], [14, 2]], 11/252887040], [[[1, 8], [2, 3], [4, 1], [26, 1]], 1/3096576], [[[1, 8], [2, 3], [4, 2], [11, 1]], 503/12976128], [[[1, 8], [2, 3], [4, 2], [22, 1]], 43/227082240], [[[1, 8], [2, 3], [4, 3], [5, 2]], 11683/530841600], [[[1, 8], [2, 3], [4, 3], [8, 2]], 9577/330301440], [[[1, 8], [2, 3], [4, 4], [7, 1]], 971/247726080], [[[1, 8], [2, 3], [4, 5], [5, 1]], 31/19660800], [[[1, 8], [2, 3], [4, 5], [8, 1]], 1631/566231040], [[[1, 8], [2, 3], [4, 5], [12, 1]], 5/7077888], [[[1, 8], [2, 3], [5, 1], [11, 1]], 5953/113541120], [[[1, 8], [2, 3], [5, 2], [7, 1]], 2029/32256000], [[[1, 8], [2, 3], [5, 2], [14, 1]], 1/252000], [[[1, 8], [2, 3], [5, 3], [6, 1]], 149/69120000], [[[1, 8], [2, 3], [6, 1], [7, 2]], 11/9031680], [[[1, 8], [2, 3], [6, 1], [13, 1]], 1/299520], [[[1, 8], [2, 3], [6, 1], [14, 2]], 1/108380160], [[[1, 8], [2, 3], [6, 1], [26, 1]], 13/123863040], [[[1, 8], [2, 3], [6, 2], [11, 1]], 17/9123840], [[[1, 8], [2, 3], [6, 2], [22, 1]], 1/36495360], [[[1, 8], [2, 3], [7, 1], [8, 2]], 13/10321920], [[[1, 8], [2, 3], [7, 1], [16, 1]], 23/9031680], [[[1, 8], [2, 3], [8, 1], [11, 1]], 19/1802240], [[[1, 8], [2, 3], [8, 1], [22, 1]], 1/5406720], [[[1, 8], [2, 3], [10, 1], [11, 1]], 17/2534400], [[[1, 8], [2, 3], [10, 1], [22, 1]], 19/756940800], [[[1, 8], [2, 5], [3, 1], [4, 5]], 1547/188743680], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/537477120], [[[1, 8], [2, 5], [3, 1], [11, 1]], 233/10813440], [[[1, 8], [2, 5], [3, 1], [22, 1]], 13/4866048], [[[1, 8], [2, 5], [3, 2], [4, 4]], 135487/7644119040], [[[1, 8], [2, 5], [3, 2], [5, 2]], 33013/2654208000], [[[1, 8], [2, 5], [3, 2], [6, 4]], 607/358318080], [[[1, 8], [2, 5], [3, 2], [8, 2]], 1/5898240], [[[1, 8], [2, 5], [3, 2], [10, 2]], 1/5529600], [[[1, 8], [2, 5], [3, 2], [16, 1]], 5/2654208], [[[1, 8], [2, 5], [3, 3], [4, 3]], 18199/955514880], [[[1, 8], [2, 5], [3, 3], [6, 3]], 53/1105920], [[[1, 8], [2, 5], [3, 3], [7, 1]], 10327/1114767360], [[[1, 8], [2, 5], [3, 3], [9, 1]], 3271/159252480], [[[1, 8], [2, 5], [3, 3], [14, 1]], 1/435456], [[[1, 8], [2, 5], [3, 4], [4, 2]], 6709/764411904], [[[1, 8], [2, 5], [3, 4], [5, 1]], 697/358318080], [[[1, 8], [2, 5], [3, 4], [6, 2]], 14173/214990848], [[[1, 8], [2, 5], [3, 4], [8, 1]], 637/955514880], [[[1, 8], [2, 5], [3, 4], [10, 1]], 1/559872], [[[1, 8], [2, 5], [3, 5], [4, 1]], 1511/1194393600], [[[1, 8], [2, 5], [3, 5], [6, 1]], 653/107495424], [[[1, 8], [2, 5], [4, 1], [6, 5]], 1/4180377600], [[[1, 8], [2, 5], [4, 1], [11, 1]], 84391/1946419200], [[[1, 8], [2, 5], [4, 1], [22, 1]], 17371/6812467200], [[[1, 8], [2, 5], [4, 2], [5, 2]], 24839/442368000], [[[1, 8], [2, 5], [4, 2], [6, 4]], 43/40131624960], [[[1, 8], [2, 5], [4, 2], [8, 2]], 24529/396361728], [[[1, 8], [2, 5], [4, 2], [10, 2]], 463/458752000], [[[1, 8], [2, 5], [4, 2], [16, 1]], 49/11796480], [[[1, 8], [2, 5], [4, 3], [7, 1]], 579583/10404495360], [[[1, 8], [2, 5], [4, 3], [14, 1]], 3173/495452160], [[[1, 8], [2, 5], [4, 4], [5, 1]], 440731/14863564800], [[[1, 8], [2, 5], [4, 4], [6, 2]], 157/509607936], [[[1, 8], [2, 5], [4, 4], [8, 1]], 1694947/23781703680], [[[1, 8], [2, 5], [4, 4], [10, 1]], 103/35389440], [[[1, 8], [2, 5], [4, 4], [12, 1]], 1/131072], [[[1, 8], [2, 5], [4, 5], [6, 1]], 1853/1698693120], [[[1, 8], [2, 5], [5, 1], [8, 2]], 1/3686400], [[[1, 8], [2, 5], [5, 1], [10, 2]], 3617/221184000], [[[1, 8], [2, 5], [5, 1], [16, 1]], 7/3686400], [[[1, 8], [2, 5], [5, 2], [6, 2]], 13/6912000], [[[1, 8], [2, 5], [5, 2], [8, 1]], 683/184320000], [[[1, 8], [2, 5], [5, 2], [10, 1]], 41089/737280000], [[[1, 8], [2, 5], [6, 1], [11, 1]], 739/72990720], [[[1, 8], [2, 5], [6, 1], [22, 1]], 8207/8174960640], [[[1, 8], [2, 5], [6, 2], [10, 2]], 281/37158912000], [[[1, 8], [2, 5], [6, 3], [14, 1]], 131/15606743040], [[[1, 8], [2, 5], [6, 3], [18, 1]], 127/445906944], [[[1, 8], [2, 5], [6, 4], [8, 1]], 1/955514880], [[[1, 8], [2, 5], [6, 4], [10, 1]], 1/895795200], [[[1, 8], [2, 5], [7, 1], [14, 1]], 27259/1734082560], [[[1, 8], [2, 5], [8, 1], [10, 2]], 1/6144000], [[[1, 8], [2, 7], [3, 1], [4, 4]], 15047/637009920], [[[1, 8], [2, 7], [3, 1], [5, 2]], 5293/1658880000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 91/134369280], [[[1, 8], [2, 7], [3, 1], [8, 2]], 1/70778880], [[[1, 8], [2, 7], [3, 1], [10, 2]], 293/331776000], [[[1, 8], [2, 7], [3, 1], [16, 1]], 1/2949120], [[[1, 8], [2, 7], [3, 2], [4, 3]], 37363/1911029760], [[[1, 8], [2, 7], [3, 2], [6, 3]], 52759/2866544640], [[[1, 8], [2, 7], [3, 2], [7, 1]], 1721/522547200], [[[1, 8], [2, 7], [3, 2], [9, 1]], 338987/66886041600], [[[1, 8], [2, 7], [3, 2], [14, 1]], 137/92897280], [[[1, 8], [2, 7], [3, 3], [4, 2]], 6047/955514880], [[[1, 8], [2, 7], [3, 3], [5, 1]], 18053/17915904000], [[[1, 8], [2, 7], [3, 3], [6, 2]], 40909/1146617856], [[[1, 8], [2, 7], [3, 3], [8, 1]], 323/1194393600], [[[1, 8], [2, 7], [3, 3], [10, 1]], 67/74649600], [[[1, 8], [2, 7], [3, 4], [4, 1]], 63229/80263249920], [[[1, 8], [2, 7], [3, 4], [6, 1]], 371/107495424], [[[1, 8], [2, 7], [4, 1], [5, 2]], 3693461/371589120000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 5/84934656], [[[1, 8], [2, 7], [4, 1], [8, 2]], 69241/9909043200], [[[1, 8], [2, 7], [4, 1], [10, 2]], 281093/92897280000], [[[1, 8], [2, 7], [4, 1], [16, 1]], 1/655360], [[[1, 8], [2, 7], [4, 2], [6, 3]], 20623/20065812480], [[[1, 8], [2, 7], [4, 2], [7, 1]], 297971/9909043200], [[[1, 8], [2, 7], [4, 2], [14, 1]], 1092907/69363302400], [[[1, 8], [2, 7], [4, 3], [5, 1]], 673/21233664], [[[1, 8], [2, 7], [4, 3], [6, 2]], 71/11796480], [[[1, 8], [2, 7], [4, 3], [8, 1]], 18839/226492416], [[[1, 8], [2, 7], [4, 3], [10, 1]], 427/26542080], [[[1, 8], [2, 7], [4, 3], [12, 1]], 179/26542080], [[[1, 8], [2, 7], [4, 4], [6, 1]], 132851/10192158720], [[[1, 8], [2, 7], [5, 1], [6, 3]], 19/149299200], [[[1, 8], [2, 7], [5, 1], [7, 1]], 35723/7431782400], [[[1, 8], [2, 7], [5, 1], [14, 1]], 221/77414400], [[[1, 8], [2, 7], [5, 2], [6, 1]], 67/30720000], [[[1, 8], [2, 7], [6, 1], [10, 2]], 5197/7431782400], [[[1, 8], [2, 7], [6, 1], [16, 1]], 1/8847360], [[[1, 8], [2, 7], [6, 2], [7, 1]], 113/92897280], [[[1, 8], [2, 7], [6, 2], [14, 1]], 839/1156055040], [[[1, 8], [2, 7], [6, 2], [18, 1]], 26473/14863564800], [[[1, 8], [2, 7], [6, 3], [8, 1]], 11/238878720], [[[1, 8], [2, 7], [6, 3], [10, 1]], 22207/200658124800], [[[1, 8], [2, 7], [7, 1], [8, 1]], 53/33868800], [[[1, 8], [2, 7], [7, 1], [10, 1]], 41/11059200], [[[1, 8], [2, 7], [8, 1], [14, 1]], 37/51609600], [[[1, 8], [2, 7], [10, 1], [14, 1]], 51101/34681651200], [[[1, 8], [2, 9], [3, 1], [4, 3]], 2609933/356725555200], [[[1, 8], [2, 9], [3, 1], [6, 3]], 7735363/2407897497600], [[[1, 8], [2, 9], [3, 1], [7, 1]], 60281/156067430400], [[[1, 8], [2, 9], [3, 1], [9, 1]], 286339/936404582400], [[[1, 8], [2, 9], [3, 1], [14, 1]], 17237/19508428800], [[[1, 8], [2, 9], [3, 2], [4, 2]], 1216961/535088332800], [[[1, 8], [2, 9], [3, 2], [5, 1]], 26137/148635648000], [[[1, 8], [2, 9], [3, 2], [6, 2]], 1330373/133772083200], [[[1, 8], [2, 9], [3, 2], [8, 1]], 119/2548039680], [[[1, 8], [2, 9], [3, 2], [10, 1]], 1/3317760], [[[1, 8], [2, 9], [3, 3], [4, 1]], 184409/802632499200], [[[1, 8], [2, 9], [3, 3], [6, 1]], 2051267/1605264998400], [[[1, 8], [2, 9], [4, 1], [6, 3]], 70823/58525286400], [[[1, 8], [2, 9], [4, 1], [7, 1]], 621863/323695411200], [[[1, 8], [2, 9], [4, 1], [14, 1]], 49172797/13109664153600], [[[1, 8], [2, 9], [4, 2], [5, 1]], 10880951/2080899072000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 70555/10701766656], [[[1, 8], [2, 9], [4, 2], [8, 1]], 46886683/3329438515200], [[[1, 8], [2, 9], [4, 2], [10, 1]], 19506869/2080899072000], [[[1, 8], [2, 9], [4, 2], [12, 1]], 6317/8918138880], [[[1, 8], [2, 9], [4, 3], [6, 1]], 1031129/79272345600], [[[1, 8], [2, 9], [5, 1], [6, 2]], 107/199065600], [[[1, 8], [2, 9], [5, 1], [8, 1]], 2899/24772608000], [[[1, 8], [2, 9], [5, 1], [10, 1]], 3001393/891813888000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 599/928972800], [[[1, 8], [2, 9], [6, 1], [14, 1]], 253597/208089907200], [[[1, 8], [2, 9], [6, 1], [18, 1]], 424093/624269721600], [[[1, 8], [2, 9], [6, 2], [8, 1]], 137/796262400], [[[1, 8], [2, 9], [6, 2], [10, 1]], 1119443/1337720832000], [[[1, 8], [2, 9], [8, 1], [10, 1]], 6311/24772608000], [[[1, 8], [2, 11], [3, 1], [4, 2]], 234557/428070666240], [[[1, 8], [2, 11], [3, 1], [5, 1]], 25091/1783627776000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 6986363/6019743744000], [[[1, 8], [2, 11], [3, 1], [8, 1]], 13/1486356480], [[[1, 8], [2, 11], [3, 1], [10, 1]], 44257/334430208000], [[[1, 8], [2, 11], [3, 2], [4, 1]], 703/10701766656], [[[1, 8], [2, 11], [3, 2], [6, 1]], 1195127/4013162496000], [[[1, 8], [2, 11], [4, 1], [5, 1]], 6521/33030144000], [[[1, 8], [2, 11], [4, 1], [6, 2]], 22394597/18728091648000], [[[1, 8], [2, 11], [4, 1], [8, 1]], 7171603/14269022208000], [[[1, 8], [2, 11], [4, 1], [10, 1]], 146180603/147149291520000], [[[1, 8], [2, 11], [4, 1], [12, 1]], 107/8493465600], [[[1, 8], [2, 11], [4, 2], [6, 1]], 48626093/17978967982080], [[[1, 8], [2, 11], [5, 1], [6, 1]], 11381/111476736000], [[[1, 8], [2, 11], [6, 1], [8, 1]], 8423/152882380800], [[[1, 8], [2, 11], [6, 1], [10, 1]], 18712427/44947419955200], [[[1, 8], [2, 13], [3, 1], [4, 1]], 8007067/470877732864000], [[[1, 8], [2, 13], [3, 1], [6, 1]], 44845901/847579919155200], [[[1, 8], [2, 13], [4, 1], [6, 1]], 2277803779/14283291230208000], [[[1, 9], [2, 2], [3, 1], [4, 6]], 1/283115520], [[[1, 9], [2, 2], [3, 1], [5, 3]], 161/9216000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 101/3386880], [[[1, 9], [2, 2], [3, 1], [13, 1]], 3013/402554880], [[[1, 9], [2, 2], [3, 2], [4, 5]], 1/79626240], [[[1, 9], [2, 2], [3, 2], [11, 1]], 79/4561920], [[[1, 9], [2, 2], [3, 3], [4, 4]], 67/119439360], [[[1, 9], [2, 2], [3, 3], [5, 2]], 631/33177600], [[[1, 9], [2, 2], [3, 3], [8, 2]], 1/3317760], [[[1, 9], [2, 2], [3, 3], [16, 1]], 11/26127360], [[[1, 9], [2, 2], [3, 4], [4, 3]], 1291/1911029760], [[[1, 9], [2, 2], [3, 4], [7, 1]], 415/41803776], [[[1, 9], [2, 2], [3, 4], [9, 1]], 119/5971968], [[[1, 9], [2, 2], [3, 4], [14, 1]], 1/5225472], [[[1, 9], [2, 2], [3, 5], [4, 2]], 247/238878720], [[[1, 9], [2, 2], [3, 5], [5, 1]], 73/22394880], [[[1, 9], [2, 2], [3, 5], [6, 2]], 151/33592320], [[[1, 9], [2, 2], [3, 5], [8, 1]], 17/39813120], [[[1, 9], [2, 2], [3, 5], [10, 1]], 1/9331200], [[[1, 9], [2, 2], [3, 6], [4, 1]], 17/20155392], [[[1, 9], [2, 2], [3, 6], [6, 1]], 113/33592320], [[[1, 9], [2, 2], [4, 1], [5, 3]], 5107/552960000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 349/18063360], [[[1, 9], [2, 2], [4, 1], [8, 3]], 29/165150720], [[[1, 9], [2, 2], [4, 1], [13, 1]], 161/28753920], [[[1, 9], [2, 2], [4, 1], [14, 2]], 1/1011548160], [[[1, 9], [2, 2], [4, 1], [26, 1]], 1/134184960], [[[1, 9], [2, 2], [4, 2], [11, 1]], 233/64880640], [[[1, 9], [2, 2], [4, 2], [22, 1]], 1/227082240], [[[1, 9], [2, 2], [4, 3], [5, 2]], 1073/1032192000], [[[1, 9], [2, 2], [4, 3], [8, 2]], 367/660602880], [[[1, 9], [2, 2], [4, 4], [7, 1]], 589/1734082560], [[[1, 9], [2, 2], [4, 5], [5, 1]], 11/1238630400], [[[1, 9], [2, 2], [4, 5], [8, 1]], 29/7927234560], [[[1, 9], [2, 2], [5, 1], [11, 1]], 179/10321920], [[[1, 9], [2, 2], [5, 2], [7, 1]], 103/3584000], [[[1, 9], [2, 2], [5, 2], [14, 1]], 1/4032000], [[[1, 9], [2, 2], [5, 3], [6, 1]], 1/7680000], [[[1, 9], [2, 2], [6, 1], [7, 2]], 1/18063360], [[[1, 9], [2, 2], [6, 1], [13, 1]], 1/7188480], [[[1, 9], [2, 2], [6, 1], [26, 1]], 1/1610219520], [[[1, 9], [2, 2], [6, 2], [11, 1]], 1/9123840], [[[1, 9], [2, 2], [7, 1], [8, 2]], 23/72253440], [[[1, 9], [2, 2], [7, 1], [16, 1]], 37/162570240], [[[1, 9], [2, 2], [8, 1], [11, 1]], 23/16220160], [[[1, 9], [2, 2], [10, 1], [11, 1]], 1/2534400], [[[1, 9], [2, 2], [10, 1], [22, 1]], 1/2270822400], [[[1, 9], [2, 4], [3, 1], [4, 5]], 2627/1698693120], [[[1, 9], [2, 4], [3, 1], [11, 1]], 355/24772608], [[[1, 9], [2, 4], [3, 1], [22, 1]], 1/8110080], [[[1, 9], [2, 4], [3, 2], [4, 4]], 112541/15288238080], [[[1, 9], [2, 4], [3, 2], [5, 2]], 16943/884736000], [[[1, 9], [2, 4], [3, 2], [6, 4]], 11/119439360], [[[1, 9], [2, 4], [3, 2], [8, 2]], 5/21233664], [[[1, 9], [2, 4], [3, 2], [16, 1]], 1/1105920], [[[1, 9], [2, 4], [3, 3], [4, 3]], 10153/752467968], [[[1, 9], [2, 4], [3, 3], [6, 3]], 5419/627056640], [[[1, 9], [2, 4], [3, 3], [7, 1]], 46957/3344302080], [[[1, 9], [2, 4], [3, 3], [9, 1]], 10109/477757440], [[[1, 9], [2, 4], [3, 3], [14, 1]], 1/725760], [[[1, 9], [2, 4], [3, 4], [4, 2]], 41587/3822059520], [[[1, 9], [2, 4], [3, 4], [5, 1]], 1783/358318080], [[[1, 9], [2, 4], [3, 4], [6, 2]], 13789/358318080], [[[1, 9], [2, 4], [3, 4], [8, 1]], 199/191102976], [[[1, 9], [2, 4], [3, 4], [10, 1]], 137/111974400], [[[1, 9], [2, 4], [3, 5], [4, 1]], 55/17915904], [[[1, 9], [2, 4], [3, 5], [6, 1]], 1061/107495424], [[[1, 9], [2, 4], [4, 1], [11, 1]], 2533/123863040], [[[1, 9], [2, 4], [4, 1], [22, 1]], 139/1089994752], [[[1, 9], [2, 4], [4, 2], [5, 2]], 7321/221184000], [[[1, 9], [2, 4], [4, 2], [6, 4]], 1/40131624960], [[[1, 9], [2, 4], [4, 2], [8, 2]], 35843/1981808640], [[[1, 9], [2, 4], [4, 2], [10, 2]], 11/516096000], [[[1, 9], [2, 4], [4, 2], [16, 1]], 29/82575360], [[[1, 9], [2, 4], [4, 3], [7, 1]], 1740187/93640458240], [[[1, 9], [2, 4], [4, 3], [14, 1]], 55/231211008], [[[1, 9], [2, 4], [4, 4], [5, 1]], 29657/4246732800], [[[1, 9], [2, 4], [4, 4], [8, 1]], 48109/4756340736], [[[1, 9], [2, 4], [4, 4], [10, 1]], 1/5242880], [[[1, 9], [2, 4], [4, 4], [12, 1]], 1/655360], [[[1, 9], [2, 4], [4, 5], [6, 1]], 29/5945425920], [[[1, 9], [2, 4], [5, 1], [8, 2]], 7/29491200], [[[1, 9], [2, 4], [5, 1], [10, 2]], 11707/6193152000], [[[1, 9], [2, 4], [5, 1], [16, 1]], 1/1612800], [[[1, 9], [2, 4], [5, 2], [6, 2]], 53/82944000], [[[1, 9], [2, 4], [5, 2], [8, 1]], 7/3072000], [[[1, 9], [2, 4], [5, 2], [10, 1]], 182659/7741440000], [[[1, 9], [2, 4], [6, 1], [11, 1]], 37/14598144], [[[1, 9], [2, 4], [6, 1], [22, 1]], 19/454164480], [[[1, 9], [2, 4], [6, 2], [10, 2]], 1/37158912000], [[[1, 9], [2, 4], [6, 3], [14, 1]], 1/46820229120], [[[1, 9], [2, 4], [6, 3], [18, 1]], 19/2229534720], [[[1, 9], [2, 4], [7, 1], [14, 1]], 89977/24277155840], [[[1, 9], [2, 4], [8, 1], [10, 2]], 1/147456000], [[[1, 9], [2, 6], [3, 1], [4, 4]], 335017/17836277760], [[[1, 9], [2, 6], [3, 1], [5, 2]], 9661/1474560000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 2857/40131624960], [[[1, 9], [2, 6], [3, 1], [8, 2]], 1/23592960], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/9216000], [[[1, 9], [2, 6], [3, 1], [16, 1]], 1/2949120], [[[1, 9], [2, 6], [3, 2], [4, 3]], 16697/637009920], [[[1, 9], [2, 6], [3, 2], [6, 3]], 6431/1337720832], [[[1, 9], [2, 6], [3, 2], [7, 1]], 229259/33443020800], [[[1, 9], [2, 6], [3, 2], [9, 1]], 481601/66886041600], [[[1, 9], [2, 6], [3, 2], [14, 1]], 23/18579456], [[[1, 9], [2, 6], [3, 3], [4, 2]], 4601/318504960], [[[1, 9], [2, 6], [3, 3], [5, 1]], 224197/71663616000], [[[1, 9], [2, 6], [3, 3], [6, 2]], 4166861/120394874880], [[[1, 9], [2, 6], [3, 3], [8, 1]], 17441/25082265600], [[[1, 9], [2, 6], [3, 3], [10, 1]], 217/149299200], [[[1, 9], [2, 6], [3, 4], [4, 1]], 68177/22932357120], [[[1, 9], [2, 6], [3, 4], [6, 1]], 23719/2866544640], [[[1, 9], [2, 6], [4, 1], [5, 2]], 933901/61931520000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 137/64210599936], [[[1, 9], [2, 6], [4, 1], [8, 2]], 467/117964800], [[[1, 9], [2, 6], [4, 1], [10, 2]], 13739/49545216000], [[[1, 9], [2, 6], [4, 1], [16, 1]], 11/17694720], [[[1, 9], [2, 6], [4, 2], [6, 3]], 569/10032906240], [[[1, 9], [2, 6], [4, 2], [7, 1]], 1983629/69363302400], [[[1, 9], [2, 6], [4, 2], [14, 1]], 232339/69363302400], [[[1, 9], [2, 6], [4, 3], [5, 1]], 106219/3715891200], [[[1, 9], [2, 6], [4, 3], [6, 2]], 527/990904320], [[[1, 9], [2, 6], [4, 3], [8, 1]], 248509/5284823040], [[[1, 9], [2, 6], [4, 3], [10, 1]], 3/819200], [[[1, 9], [2, 6], [4, 3], [12, 1]], 1241/371589120], [[[1, 9], [2, 6], [4, 4], [6, 1]], 27937/10192158720], [[[1, 9], [2, 6], [5, 1], [7, 1]], 385271/52022476800], [[[1, 9], [2, 6], [5, 1], [14, 1]], 11/8601600], [[[1, 9], [2, 6], [5, 2], [6, 1]], 877/414720000], [[[1, 9], [2, 6], [6, 1], [10, 2]], 491/9289728000], [[[1, 9], [2, 6], [6, 2], [7, 1]], 295/390168576], [[[1, 9], [2, 6], [6, 2], [14, 1]], 173/2601123840], [[[1, 9], [2, 6], [6, 2], [18, 1]], 949/3822059520], [[[1, 9], [2, 6], [6, 3], [8, 1]], 1/477757440], [[[1, 9], [2, 6], [6, 3], [10, 1]], 113/33443020800], [[[1, 9], [2, 6], [7, 1], [8, 1]], 130001/78033715200], [[[1, 9], [2, 6], [7, 1], [10, 1]], 461/180633600], [[[1, 9], [2, 6], [8, 1], [14, 1]], 67/495452160], [[[1, 9], [2, 6], [10, 1], [14, 1]], 677/4954521600], [[[1, 9], [2, 8], [3, 1], [4, 3]], 1031129/79272345600], [[[1, 9], [2, 8], [3, 1], [6, 3]], 2051267/1605264998400], [[[1, 9], [2, 8], [3, 1], [7, 1]], 253597/208089907200], [[[1, 9], [2, 8], [3, 1], [9, 1]], 424093/624269721600], [[[1, 9], [2, 8], [3, 1], [14, 1]], 599/928972800], [[[1, 9], [2, 8], [3, 2], [4, 2]], 70555/10701766656], [[[1, 9], [2, 8], [3, 2], [5, 1]], 1119443/1337720832000], [[[1, 9], [2, 8], [3, 2], [6, 2]], 1330373/133772083200], [[[1, 9], [2, 8], [3, 2], [8, 1]], 137/796262400], [[[1, 9], [2, 8], [3, 2], [10, 1]], 107/199065600], [[[1, 9], [2, 8], [3, 3], [4, 1]], 70823/58525286400], [[[1, 9], [2, 8], [3, 3], [6, 1]], 7735363/2407897497600], [[[1, 9], [2, 8], [4, 1], [6, 3]], 184409/802632499200], [[[1, 9], [2, 8], [4, 1], [7, 1]], 49172797/13109664153600], [[[1, 9], [2, 8], [4, 1], [14, 1]], 621863/323695411200], [[[1, 9], [2, 8], [4, 2], [5, 1]], 19506869/2080899072000], [[[1, 9], [2, 8], [4, 2], [6, 2]], 1216961/535088332800], [[[1, 9], [2, 8], [4, 2], [8, 1]], 46886683/3329438515200], [[[1, 9], [2, 8], [4, 2], [10, 1]], 10880951/2080899072000], [[[1, 9], [2, 8], [4, 2], [12, 1]], 6317/8918138880], [[[1, 9], [2, 8], [4, 3], [6, 1]], 2609933/356725555200], [[[1, 9], [2, 8], [5, 1], [6, 2]], 1/3317760], [[[1, 9], [2, 8], [5, 1], [8, 1]], 6311/24772608000], [[[1, 9], [2, 8], [5, 1], [10, 1]], 3001393/891813888000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 17237/19508428800], [[[1, 9], [2, 8], [6, 1], [14, 1]], 60281/156067430400], [[[1, 9], [2, 8], [6, 1], [18, 1]], 286339/936404582400], [[[1, 9], [2, 8], [6, 2], [8, 1]], 119/2548039680], [[[1, 9], [2, 8], [6, 2], [10, 1]], 26137/148635648000], [[[1, 9], [2, 8], [8, 1], [10, 1]], 2899/24772608000], [[[1, 9], [2, 10], [3, 1], [4, 2]], 520157/332943851520], [[[1, 9], [2, 10], [3, 1], [5, 1]], 48653/594542592000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 4295117/3745618329600], [[[1, 9], [2, 10], [3, 1], [8, 1]], 2743/118908518400], [[[1, 9], [2, 10], [3, 1], [10, 1]], 19853/111476736000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 147391/535088332800], [[[1, 9], [2, 10], [3, 2], [6, 1]], 455783/624269721600], [[[1, 9], [2, 10], [4, 1], [5, 1]], 9323/17340825600], [[[1, 9], [2, 10], [4, 1], [6, 2]], 11352931/14982473318400], [[[1, 9], [2, 10], [4, 1], [8, 1]], 15119051/19976631091200], [[[1, 9], [2, 10], [4, 1], [10, 1]], 34415687/37456183296000], [[[1, 9], [2, 10], [4, 1], [12, 1]], 13/707788800], [[[1, 9], [2, 10], [4, 2], [6, 1]], 238014967/89894839910400], [[[1, 9], [2, 10], [5, 1], [6, 1]], 2987/18579456000], [[[1, 9], [2, 10], [6, 1], [8, 1]], 3271/71345111040], [[[1, 9], [2, 10], [6, 1], [10, 1]], 6350219/24970788864000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 7121503/128421199872000], [[[1, 9], [2, 12], [3, 1], [6, 1]], 93607207/898948399104000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 2235649699/9888432390144000], [[[1, 9], [3, 1], [4, 2], [11, 1]], 1/3244032], [[[1, 9], [3, 1], [4, 4], [7, 1]], 1/371589120], [[[1, 9], [3, 1], [4, 4], [9, 1]], 1/1114767360], [[[1, 9], [3, 1], [5, 1], [11, 1]], 157/30412800], [[[1, 9], [3, 1], [5, 2], [7, 1]], 1/89600], [[[1, 9], [3, 1], [5, 2], [9, 1]], 23/10368000], [[[1, 9], [3, 1], [7, 1], [8, 2]], 1/7741440], [[[1, 9], [3, 1], [8, 2], [9, 1]], 1/23224320], [[[1, 9], [3, 2], [4, 2], [5, 2]], 113/221184000], [[[1, 9], [3, 2], [4, 4], [5, 1]], 1/265420800], [[[1, 9], [3, 2], [5, 1], [8, 2]], 1/5529600], [[[1, 9], [3, 2], [5, 1], [15, 1]], 1/8294400], [[[1, 9], [3, 2], [7, 1], [9, 1]], 61/6967296], [[[1, 9], [3, 3], [4, 2], [7, 1]], 121/278691840], [[[1, 9], [3, 3], [4, 2], [9, 1]], 7/13271040], [[[1, 9], [3, 3], [5, 1], [7, 1]], 89/8709120], [[[1, 9], [3, 3], [5, 1], [9, 1]], 71/6220800], [[[1, 9], [3, 4], [4, 2], [5, 1]], 7/29859840], [[[1, 9], [3, 4], [4, 2], [12, 1]], 1/8957952], [[[1, 9], [3, 5], [4, 1], [8, 1]], 1/14929920], [[[1, 9], [4, 1], [8, 1], [11, 1]], 1/4055040], [[[1, 9], [4, 2], [5, 2], [12, 1]], 1/6912000], [[[1, 9], [4, 2], [8, 1], [16, 1]], 1/82575360], [[[1, 10], [2, 1], [3, 1], [5, 3]], 1759/414720000], [[[1, 10], [2, 1], [3, 1], [7, 2]], 19/3386880], [[[1, 10], [2, 1], [3, 1], [13, 1]], 11497/14491975680], [[[1, 10], [2, 1], [3, 2], [4, 5]], 1/1274019840], [[[1, 10], [2, 1], [3, 2], [11, 1]], 5/1824768], [[[1, 10], [2, 1], [3, 3], [4, 4]], 11/10032906240], [[[1, 10], [2, 1], [3, 3], [5, 2]], 2153/298598400], [[[1, 10], [2, 1], [3, 3], [8, 2]], 11/209018880], [[[1, 10], [2, 1], [3, 3], [16, 1]], 1/52254720], [[[1, 10], [2, 1], [3, 4], [4, 3]], 613/5733089280], [[[1, 10], [2, 1], [3, 4], [7, 1]], 2027/627056640], [[[1, 10], [2, 1], [3, 4], [9, 1]], 7871/1881169920], [[[1, 10], [2, 1], [3, 5], [4, 2]], 157/2388787200], [[[1, 10], [2, 1], [3, 5], [5, 1]], 401/223948800], [[[1, 10], [2, 1], [3, 5], [8, 1]], 7/119439360], [[[1, 10], [2, 1], [3, 6], [4, 1]], 19/100776960], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/2099520], [[[1, 10], [2, 1], [4, 1], [5, 3]], 337/552960000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 41/28901376], [[[1, 10], [2, 1], [4, 1], [8, 3]], 1/165150720], [[[1, 10], [2, 1], [4, 1], [13, 1]], 1/4423680], [[[1, 10], [2, 1], [4, 2], [11, 1]], 31/324403200], [[[1, 10], [2, 1], [4, 3], [5, 2]], 341/6193152000], [[[1, 10], [2, 1], [4, 3], [8, 2]], 1/660602880], [[[1, 10], [2, 1], [4, 4], [7, 1]], 37/62426972160], [[[1, 10], [2, 1], [4, 5], [5, 1]], 1/2477260800], [[[1, 10], [2, 1], [4, 5], [8, 1]], 1/7927234560], [[[1, 10], [2, 1], [5, 1], [11, 1]], 46441/20437401600], [[[1, 10], [2, 1], [5, 2], [7, 1]], 167/32256000], [[[1, 10], [2, 1], [7, 1], [8, 2]], 37/1300561920], [[[1, 10], [2, 1], [7, 1], [16, 1]], 1/162570240], [[[1, 10], [2, 1], [8, 1], [11, 1]], 1/16220160], [[[1, 10], [2, 3], [3, 1], [4, 5]], 341/2378170368], [[[1, 10], [2, 3], [3, 1], [11, 1]], 1703/340623360], [[[1, 10], [2, 3], [3, 2], [4, 4]], 11/14155776], [[[1, 10], [2, 3], [3, 2], [5, 2]], 138797/9289728000], [[[1, 10], [2, 3], [3, 2], [8, 2]], 1/8847360], [[[1, 10], [2, 3], [3, 2], [16, 1]], 1/6193152], [[[1, 10], [2, 3], [3, 3], [4, 3]], 27749/8599633920], [[[1, 10], [2, 3], [3, 3], [6, 3]], 179/313528320], [[[1, 10], [2, 3], [3, 3], [7, 1]], 119429/11705057280], [[[1, 10], [2, 3], [3, 3], [9, 1]], 5867/557383680], [[[1, 10], [2, 3], [3, 3], [14, 1]], 11/45722880], [[[1, 10], [2, 3], [3, 4], [4, 2]], 44557/8918138880], [[[1, 10], [2, 3], [3, 4], [5, 1]], 3359/597196800], [[[1, 10], [2, 3], [3, 4], [6, 2]], 58717/7524679680], [[[1, 10], [2, 3], [3, 4], [8, 1]], 1687/2866544640], [[[1, 10], [2, 3], [3, 4], [10, 1]], 269/1045094400], [[[1, 10], [2, 3], [3, 5], [4, 1]], 65/23887872], [[[1, 10], [2, 3], [3, 5], [6, 1]], 1393/223948800], [[[1, 10], [2, 3], [4, 1], [11, 1]], 229/50462720], [[[1, 10], [2, 3], [4, 1], [22, 1]], 1/363331584], [[[1, 10], [2, 3], [4, 2], [5, 2]], 2141/309657600], [[[1, 10], [2, 3], [4, 2], [8, 2]], 9805/4756340736], [[[1, 10], [2, 3], [4, 2], [10, 2]], 1/2064384000], [[[1, 10], [2, 3], [4, 2], [16, 1]], 1/82575360], [[[1, 10], [2, 3], [4, 3], [7, 1]], 186469/93640458240], [[[1, 10], [2, 3], [4, 3], [14, 1]], 1/128450560], [[[1, 10], [2, 3], [4, 4], [5, 1]], 919/2477260800], [[[1, 10], [2, 3], [4, 4], [8, 1]], 13/41943040], [[[1, 10], [2, 3], [4, 4], [12, 1]], 29/247726080], [[[1, 10], [2, 3], [4, 5], [6, 1]], 1/5945425920], [[[1, 10], [2, 3], [5, 1], [8, 2]], 1/12902400], [[[1, 10], [2, 3], [5, 1], [10, 2]], 451/6193152000], [[[1, 10], [2, 3], [5, 1], [16, 1]], 19/232243200], [[[1, 10], [2, 3], [5, 2], [6, 2]], 11/124416000], [[[1, 10], [2, 3], [5, 2], [8, 1]], 133/221184000], [[[1, 10], [2, 3], [5, 2], [10, 1]], 40939/7741440000], [[[1, 10], [2, 3], [6, 1], [11, 1]], 31/121651200], [[[1, 10], [2, 3], [6, 1], [22, 1]], 1/2724986880], [[[1, 10], [2, 3], [7, 1], [14, 1]], 24977/72831467520], [[[1, 10], [2, 5], [3, 1], [4, 4]], 63859/10032906240], [[[1, 10], [2, 5], [3, 1], [5, 2]], 33713/4644864000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 17/8026324992], [[[1, 10], [2, 5], [3, 1], [8, 2]], 1/23592960], [[[1, 10], [2, 5], [3, 1], [10, 2]], 1/221184000], [[[1, 10], [2, 5], [3, 1], [16, 1]], 5/37158912], [[[1, 10], [2, 5], [3, 2], [4, 3]], 139729/8918138880], [[[1, 10], [2, 5], [3, 2], [6, 3]], 6637/8918138880], [[[1, 10], [2, 5], [3, 2], [7, 1]], 1387/185794560], [[[1, 10], [2, 5], [3, 2], [9, 1]], 3511/637009920], [[[1, 10], [2, 5], [3, 2], [14, 1]], 1/1935360], [[[1, 10], [2, 5], [3, 3], [4, 2]], 95099/6688604160], [[[1, 10], [2, 5], [3, 3], [5, 1]], 249761/50164531200], [[[1, 10], [2, 5], [3, 3], [6, 2]], 991699/60197437440], [[[1, 10], [2, 5], [3, 3], [8, 1]], 227/298598400], [[[1, 10], [2, 5], [3, 3], [10, 1]], 683/783820800], [[[1, 10], [2, 5], [3, 4], [4, 1]], 11969/2548039680], [[[1, 10], [2, 5], [3, 4], [6, 1]], 557639/60197437440], [[[1, 10], [2, 5], [4, 1], [5, 2]], 1443599/123863040000], [[[1, 10], [2, 5], [4, 1], [6, 4]], 1/64210599936], [[[1, 10], [2, 5], [4, 1], [8, 2]], 4687/3963617280], [[[1, 10], [2, 5], [4, 1], [10, 2]], 179/24772608000], [[[1, 10], [2, 5], [4, 1], [16, 1]], 31/247726080], [[[1, 10], [2, 5], [4, 2], [6, 3]], 23/13377208320], [[[1, 10], [2, 5], [4, 2], [7, 1]], 111677/7803371520], [[[1, 10], [2, 5], [4, 2], [14, 1]], 179/566231040], [[[1, 10], [2, 5], [4, 3], [5, 1]], 153667/13377208320], [[[1, 10], [2, 5], [4, 3], [6, 2]], 113/4459069440], [[[1, 10], [2, 5], [4, 3], [8, 1]], 67981/5284823040], [[[1, 10], [2, 5], [4, 3], [10, 1]], 1201/2477260800], [[[1, 10], [2, 5], [4, 3], [12, 1]], 1/1179648], [[[1, 10], [2, 5], [4, 4], [6, 1]], 14491/71345111040], [[[1, 10], [2, 5], [5, 1], [7, 1]], 966059/156067430400], [[[1, 10], [2, 5], [5, 1], [14, 1]], 1/2822400], [[[1, 10], [2, 5], [5, 2], [6, 1]], 373/435456000], [[[1, 10], [2, 5], [6, 1], [10, 2]], 31/37158912000], [[[1, 10], [2, 5], [6, 2], [7, 1]], 1411/5852528640], [[[1, 10], [2, 5], [6, 2], [14, 1]], 59/31213486080], [[[1, 10], [2, 5], [6, 2], [18, 1]], 289/26754416640], [[[1, 10], [2, 5], [6, 3], [10, 1]], 1/66886041600], [[[1, 10], [2, 5], [7, 1], [8, 1]], 23171/26011238400], [[[1, 10], [2, 5], [7, 1], [10, 1]], 4159/4877107200], [[[1, 10], [2, 5], [8, 1], [14, 1]], 1/165150720], [[[1, 10], [2, 5], [10, 1], [14, 1]], 59/11560550400], [[[1, 10], [2, 7], [3, 1], [4, 3]], 25744811/2140353331200], [[[1, 10], [2, 7], [3, 1], [6, 3]], 101977/321052999680], [[[1, 10], [2, 7], [3, 1], [7, 1]], 165769/87787929600], [[[1, 10], [2, 7], [3, 1], [9, 1]], 21559/28665446400], [[[1, 10], [2, 7], [3, 1], [14, 1]], 211/743178240], [[[1, 10], [2, 7], [3, 2], [4, 2]], 249191/25480396800], [[[1, 10], [2, 7], [3, 2], [5, 1]], 1215461/668860416000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 6677533/1070176665600], [[[1, 10], [2, 7], [3, 2], [8, 1]], 533/1783627776], [[[1, 10], [2, 7], [3, 2], [10, 1]], 1/1769472], [[[1, 10], [2, 7], [3, 3], [4, 1]], 7917857/2809213747200], [[[1, 10], [2, 7], [3, 3], [6, 1]], 11418457/2407897497600], [[[1, 10], [2, 7], [4, 1], [6, 3]], 89/4459069440], [[[1, 10], [2, 7], [4, 1], [7, 1]], 53810611/13109664153600], [[[1, 10], [2, 7], [4, 1], [14, 1]], 213739/416179814400], [[[1, 10], [2, 7], [4, 2], [5, 1]], 230089/24772608000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 57817/142690222080], [[[1, 10], [2, 7], [4, 2], [8, 1]], 533581/59454259200], [[[1, 10], [2, 7], [4, 2], [10, 1]], 100061/66060288000], [[[1, 10], [2, 7], [4, 2], [12, 1]], 131/318504960], [[[1, 10], [2, 7], [4, 3], [6, 1]], 713869/356725555200], [[[1, 10], [2, 7], [5, 1], [6, 2]], 419/2786918400], [[[1, 10], [2, 7], [5, 1], [8, 1]], 65089/222953472000], [[[1, 10], [2, 7], [5, 1], [10, 1]], 1123/557383680], [[[1, 10], [2, 7], [6, 1], [7, 1]], 78551/117050572800], [[[1, 10], [2, 7], [6, 1], [14, 1]], 1487/31213486080], [[[1, 10], [2, 7], [6, 1], [18, 1]], 7219/133772083200], [[[1, 10], [2, 7], [6, 2], [8, 1]], 13/2123366400], [[[1, 10], [2, 7], [6, 2], [10, 1]], 1321/89181388800], [[[1, 10], [2, 7], [8, 1], [10, 1]], 1/36864000], [[[1, 10], [2, 9], [3, 1], [4, 2]], 238014967/89894839910400], [[[1, 10], [2, 9], [3, 1], [5, 1]], 6350219/24970788864000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 455783/624269721600], [[[1, 10], [2, 9], [3, 1], [8, 1]], 3271/71345111040], [[[1, 10], [2, 9], [3, 1], [10, 1]], 2987/18579456000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 11352931/14982473318400], [[[1, 10], [2, 9], [3, 2], [6, 1]], 4295117/3745618329600], [[[1, 10], [2, 9], [4, 1], [5, 1]], 34415687/37456183296000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 147391/535088332800], [[[1, 10], [2, 9], [4, 1], [8, 1]], 15119051/19976631091200], [[[1, 10], [2, 9], [4, 1], [10, 1]], 9323/17340825600], [[[1, 10], [2, 9], [4, 1], [12, 1]], 13/707788800], [[[1, 10], [2, 9], [4, 2], [6, 1]], 520157/332943851520], [[[1, 10], [2, 9], [5, 1], [6, 1]], 19853/111476736000], [[[1, 10], [2, 9], [6, 1], [8, 1]], 2743/118908518400], [[[1, 10], [2, 9], [6, 1], [10, 1]], 48653/594542592000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 1098589/8561413324800], [[[1, 10], [2, 11], [3, 1], [6, 1]], 18160873/128421199872000], [[[1, 10], [2, 11], [4, 1], [6, 1]], 37211921/179789679820800], [[[1, 11], [2, 2], [3, 1], [4, 5]], 37/107017666560], [[[1, 11], [2, 2], [3, 1], [11, 1]], 20173/24524881920], [[[1, 11], [2, 2], [3, 2], [4, 4]], 1877/35672555520], [[[1, 11], [2, 2], [3, 2], [5, 2]], 15583/3096576000], [[[1, 11], [2, 2], [3, 2], [8, 2]], 1/49545216], [[[1, 11], [2, 2], [3, 2], [16, 1]], 23/2090188800], [[[1, 11], [2, 2], [3, 3], [4, 3]], 31/185794560], [[[1, 11], [2, 2], [3, 3], [7, 1]], 5491/1672151040], [[[1, 11], [2, 2], [3, 3], [9, 1]], 1283/557383680], [[[1, 11], [2, 2], [3, 3], [14, 1]], 1/91445760], [[[1, 11], [2, 2], [3, 4], [4, 2]], 2137/2972712960], [[[1, 11], [2, 2], [3, 4], [5, 1]], 4747/1791590400], [[[1, 11], [2, 2], [3, 4], [6, 2]], 3823/7524679680], [[[1, 11], [2, 2], [3, 4], [8, 1]], 691/6688604160], [[[1, 11], [2, 2], [3, 4], [10, 1]], 17/1045094400], [[[1, 11], [2, 2], [3, 5], [4, 1]], 63703/75246796800], [[[1, 11], [2, 2], [3, 5], [6, 1]], 12461/9405849600], [[[1, 11], [2, 2], [4, 1], [11, 1]], 3187/7431782400], [[[1, 11], [2, 2], [4, 2], [5, 2]], 1919/4644864000], [[[1, 11], [2, 2], [4, 2], [8, 2]], 2033/23781703680], [[[1, 11], [2, 2], [4, 3], [7, 1]], 197/3715891200], [[[1, 11], [2, 2], [4, 4], [5, 1]], 1441/89181388800], [[[1, 11], [2, 2], [4, 4], [8, 1]], 37/3963617280], [[[1, 11], [2, 2], [4, 4], [12, 1]], 1/247726080], [[[1, 11], [2, 2], [5, 1], [8, 2]], 19/1857945600], [[[1, 11], [2, 2], [5, 1], [16, 1]], 1/228096000], [[[1, 11], [2, 2], [5, 2], [6, 2]], 1/248832000], [[[1, 11], [2, 2], [5, 2], [8, 1]], 7/110592000], [[[1, 11], [2, 2], [5, 2], [10, 1]], 48749/92897280000], [[[1, 11], [2, 2], [6, 1], [11, 1]], 1/121651200], [[[1, 11], [2, 2], [7, 1], [14, 1]], 31/2697461760], [[[1, 11], [2, 4], [3, 1], [4, 4]], 119221/160526499840], [[[1, 11], [2, 4], [3, 1], [5, 2]], 27359/6193152000], [[[1, 11], [2, 4], [3, 1], [8, 2]], 5/297271296], [[[1, 11], [2, 4], [3, 1], [16, 1]], 13/557383680], [[[1, 11], [2, 4], [3, 2], [4, 3]], 285473/75246796800], [[[1, 11], [2, 4], [3, 2], [6, 3]], 68179/1203948748800], [[[1, 11], [2, 4], [3, 2], [7, 1]], 68057/15606743040], [[[1, 11], [2, 4], [3, 2], [9, 1]], 6065/2675441664], [[[1, 11], [2, 4], [3, 2], [14, 1]], 1/10838016], [[[1, 11], [2, 4], [3, 3], [4, 2]], 5129/836075520], [[[1, 11], [2, 4], [3, 3], [5, 1]], 415447/100329062400], [[[1, 11], [2, 4], [3, 3], [6, 2]], 10279/2866544640], [[[1, 11], [2, 4], [3, 3], [8, 1]], 197/557383680], [[[1, 11], [2, 4], [3, 3], [10, 1]], 653/3135283200], [[[1, 11], [2, 4], [3, 4], [4, 1]], 272189/80263249920], [[[1, 11], [2, 4], [3, 4], [6, 1]], 72701/15049359360], [[[1, 11], [2, 4], [4, 1], [5, 2]], 83873/18579456000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 683/3963617280], [[[1, 11], [2, 4], [4, 1], [10, 2]], 1/7077888000], [[[1, 11], [2, 4], [4, 1], [16, 1]], 47/3715891200], [[[1, 11], [2, 4], [4, 2], [7, 1]], 5311/1560674304], [[[1, 11], [2, 4], [4, 2], [14, 1]], 899/59454259200], [[[1, 11], [2, 4], [4, 3], [5, 1]], 6706453/3678732288000], [[[1, 11], [2, 4], [4, 3], [6, 2]], 1/5945425920], [[[1, 11], [2, 4], [4, 3], [8, 1]], 120131/79272345600], [[[1, 11], [2, 4], [4, 3], [10, 1]], 1/26214400], [[[1, 11], [2, 4], [4, 3], [12, 1]], 31/297271296], [[[1, 11], [2, 4], [4, 4], [6, 1]], 9683/1070176665600], [[[1, 11], [2, 4], [5, 1], [7, 1]], 444509/156067430400], [[[1, 11], [2, 4], [5, 1], [14, 1]], 19/406425600], [[[1, 11], [2, 4], [5, 2], [6, 1]], 361/2322432000], [[[1, 11], [2, 4], [6, 2], [7, 1]], 71/1950842880], [[[1, 11], [2, 4], [6, 2], [18, 1]], 1/8918138880], [[[1, 11], [2, 4], [7, 1], [8, 1]], 11/48168960], [[[1, 11], [2, 4], [7, 1], [10, 1]], 13/99532800], [[[1, 11], [2, 4], [10, 1], [14, 1]], 1/11560550400], [[[1, 11], [2, 6], [3, 1], [4, 3]], 536321/91729428480], [[[1, 11], [2, 6], [3, 1], [6, 3]], 13001/229323571200], [[[1, 11], [2, 6], [3, 1], [7, 1]], 565483/351151718400], [[[1, 11], [2, 6], [3, 1], [9, 1]], 92191/200658124800], [[[1, 11], [2, 6], [3, 1], [14, 1]], 421/5202247680], [[[1, 11], [2, 6], [3, 2], [4, 2]], 891383/118908518400], [[[1, 11], [2, 6], [3, 2], [5, 1]], 1424251/668860416000], [[[1, 11], [2, 6], [3, 2], [6, 2]], 22590443/9631589990400], [[[1, 11], [2, 6], [3, 2], [8, 1]], 251449/1003290624000], [[[1, 11], [2, 6], [3, 2], [10, 1]], 397/1393459200], [[[1, 11], [2, 6], [3, 3], [4, 1]], 108919/33443020800], [[[1, 11], [2, 6], [3, 3], [6, 1]], 149609/38220595200], [[[1, 11], [2, 6], [4, 1], [6, 3]], 13/22932357120], [[[1, 11], [2, 6], [4, 1], [7, 1]], 229711/89181388800], [[[1, 11], [2, 6], [4, 1], [14, 1]], 35269/416179814400], [[[1, 11], [2, 6], [4, 2], [5, 1]], 4606159/891813888000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 57137/1070176665600], [[[1, 11], [2, 6], [4, 2], [8, 1]], 1629769/475634073600], [[[1, 11], [2, 6], [4, 2], [10, 1]], 359/1327104000], [[[1, 11], [2, 6], [4, 2], [12, 1]], 4789/33443020800], [[[1, 11], [2, 6], [4, 3], [6, 1]], 75427/237817036800], [[[1, 11], [2, 6], [5, 1], [6, 2]], 227/4180377600], [[[1, 11], [2, 6], [5, 1], [8, 1]], 271157/1532805120000], [[[1, 11], [2, 6], [5, 1], [10, 1]], 20437/27869184000], [[[1, 11], [2, 6], [6, 1], [7, 1]], 10321/39016857600], [[[1, 11], [2, 6], [6, 1], [14, 1]], 11/5202247680], [[[1, 11], [2, 6], [6, 1], [18, 1]], 29/8918138880], [[[1, 11], [2, 6], [6, 2], [8, 1]], 1/4246732800], [[[1, 11], [2, 6], [6, 2], [10, 1]], 31/89181388800], [[[1, 11], [2, 6], [8, 1], [10, 1]], 29/8257536000], [[[1, 11], [2, 8], [3, 1], [4, 2]], 48626093/17978967982080], [[[1, 11], [2, 8], [3, 1], [5, 1]], 18712427/44947419955200], [[[1, 11], [2, 8], [3, 1], [6, 2]], 1195127/4013162496000], [[[1, 11], [2, 8], [3, 1], [8, 1]], 8423/152882380800], [[[1, 11], [2, 8], [3, 1], [10, 1]], 11381/111476736000], [[[1, 11], [2, 8], [3, 2], [4, 1]], 22394597/18728091648000], [[[1, 11], [2, 8], [3, 2], [6, 1]], 6986363/6019743744000], [[[1, 11], [2, 8], [4, 1], [5, 1]], 146180603/147149291520000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 703/10701766656], [[[1, 11], [2, 8], [4, 1], [8, 1]], 7171603/14269022208000], [[[1, 11], [2, 8], [4, 1], [10, 1]], 6521/33030144000], [[[1, 11], [2, 8], [4, 1], [12, 1]], 107/8493465600], [[[1, 11], [2, 8], [4, 2], [6, 1]], 234557/428070666240], [[[1, 11], [2, 8], [5, 1], [6, 1]], 44257/334430208000], [[[1, 11], [2, 8], [6, 1], [8, 1]], 13/1486356480], [[[1, 11], [2, 8], [6, 1], [10, 1]], 25091/1783627776000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 37211921/179789679820800], [[[1, 11], [2, 10], [3, 1], [6, 1]], 18160873/128421199872000], [[[1, 11], [2, 10], [4, 1], [6, 1]], 1098589/8561413324800], [[[1, 11], [3, 1], [4, 2], [5, 2]], 1/61931520], [[[1, 11], [3, 1], [4, 4], [5, 1]], 1/14863564800], [[[1, 11], [3, 1], [5, 1], [8, 2]], 1/309657600], [[[1, 11], [3, 1], [5, 1], [15, 1]], 1/5573836800], [[[1, 11], [3, 1], [7, 1], [9, 1]], 2561/23410114560], [[[1, 11], [3, 2], [4, 2], [7, 1]], 1/37158912], [[[1, 11], [3, 2], [4, 2], [9, 1]], 1/74317824], [[[1, 11], [3, 2], [5, 1], [7, 1]], 61/58060800], [[[1, 11], [3, 2], [5, 1], [9, 1]], 5/13934592], [[[1, 11], [3, 3], [4, 2], [5, 1]], 289/8360755200], [[[1, 11], [3, 3], [4, 2], [12, 1]], 1/156764160], [[[1, 11], [3, 4], [4, 1], [8, 1]], 17/1672151040], [[[1, 11], [4, 1], [5, 2], [8, 1]], 1/110592000], [[[1, 11], [4, 2], [5, 1], [7, 1]], 71/13005619200], [[[1, 11], [4, 2], [7, 1], [12, 1]], 1/487710720], [[[1, 12], [2, 1], [3, 1], [4, 5]], 1/107017666560], [[[1, 12], [2, 1], [3, 1], [11, 1]], 3629/61312204800], [[[1, 12], [2, 1], [3, 2], [4, 4]], 23/802632499200], [[[1, 12], [2, 1], [3, 2], [5, 2]], 212041/334430208000], [[[1, 12], [2, 1], [3, 2], [8, 2]], 23/16721510400], [[[1, 12], [2, 1], [3, 2], [16, 1]], 1/4180377600], [[[1, 12], [2, 1], [3, 3], [4, 3]], 173/20065812480], [[[1, 12], [2, 1], [3, 3], [7, 1]], 180713/421382062080], [[[1, 12], [2, 1], [3, 3], [9, 1]], 64213/300987187200], [[[1, 12], [2, 1], [3, 4], [4, 2]], 319/26754416640], [[[1, 12], [2, 1], [3, 4], [5, 1]], 5609/12541132800], [[[1, 12], [2, 1], [3, 4], [8, 1]], 11/2229534720], [[[1, 12], [2, 1], [3, 5], [4, 1]], 5953/75246796800], [[[1, 12], [2, 1], [3, 5], [6, 1]], 67/752467968], [[[1, 12], [2, 1], [4, 1], [11, 1]], 1097/81749606400], [[[1, 12], [2, 1], [4, 2], [5, 2]], 329/72990720000], [[[1, 12], [2, 1], [4, 2], [8, 2]], 1/990904320], [[[1, 12], [2, 1], [4, 3], [7, 1]], 127/78033715200], [[[1, 12], [2, 1], [4, 4], [5, 1]], 1/87588864000], [[[1, 12], [2, 1], [5, 1], [8, 2]], 1/1824768000], [[[1, 12], [2, 1], [5, 1], [16, 1]], 1/12773376000], [[[1, 12], [2, 1], [5, 2], [8, 1]], 1/442368000], [[[1, 12], [2, 1], [5, 2], [10, 1]], 337/18579456000], [[[1, 12], [2, 1], [7, 1], [14, 1]], 1/10404495360], [[[1, 12], [2, 3], [3, 1], [4, 4]], 4259/152882380800], [[[1, 12], [2, 3], [3, 1], [5, 2]], 209/154828800], [[[1, 12], [2, 3], [3, 1], [8, 2]], 13/4459069440], [[[1, 12], [2, 3], [3, 1], [16, 1]], 19/10218700800], [[[1, 12], [2, 3], [3, 2], [4, 3]], 104761/343985356800], [[[1, 12], [2, 3], [3, 2], [6, 3]], 31/18811699200], [[[1, 12], [2, 3], [3, 2], [7, 1]], 18881/14631321600], [[[1, 12], [2, 3], [3, 2], [9, 1]], 38477/80263249920], [[[1, 12], [2, 3], [3, 2], [14, 1]], 23/3657830400], [[[1, 12], [2, 3], [3, 3], [4, 2]], 106853/100329062400], [[[1, 12], [2, 3], [3, 3], [5, 1]], 13973/8360755200], [[[1, 12], [2, 3], [3, 3], [6, 2]], 1234361/3611846246400], [[[1, 12], [2, 3], [3, 3], [8, 1]], 337/5016453120], [[[1, 12], [2, 3], [3, 3], [10, 1]], 163/7838208000], [[[1, 12], [2, 3], [3, 4], [4, 1]], 17137/16052649984], [[[1, 12], [2, 3], [3, 4], [6, 1]], 5531/5016453120], [[[1, 12], [2, 3], [4, 1], [5, 2]], 139/169869312], [[[1, 12], [2, 3], [4, 1], [8, 2]], 709/59454259200], [[[1, 12], [2, 3], [4, 1], [16, 1]], 67/122624409600], [[[1, 12], [2, 3], [4, 2], [7, 1]], 422543/1248539443200], [[[1, 12], [2, 3], [4, 2], [14, 1]], 67/214592716800], [[[1, 12], [2, 3], [4, 3], [5, 1]], 4261/42042654720], [[[1, 12], [2, 3], [4, 3], [8, 1]], 102149/1569592442880], [[[1, 12], [2, 3], [4, 3], [10, 1]], 1/825753600], [[[1, 12], [2, 3], [4, 3], [12, 1]], 139/22295347200], [[[1, 12], [2, 3], [4, 4], [6, 1]], 67/8828957491200], [[[1, 12], [2, 3], [5, 1], [7, 1]], 3848203/5722472448000], [[[1, 12], [2, 3], [5, 1], [14, 1]], 1/399168000], [[[1, 12], [2, 3], [5, 2], [6, 1]], 329/27371520000], [[[1, 12], [2, 3], [6, 2], [7, 1]], 43/17557585920], [[[1, 12], [2, 3], [7, 1], [8, 1]], 109/3901685760], [[[1, 12], [2, 3], [7, 1], [10, 1]], 43/4877107200], [[[1, 12], [2, 5], [3, 1], [4, 3]], 455353/336341237760], [[[1, 12], [2, 5], [3, 1], [6, 3]], 3407/535088332800], [[[1, 12], [2, 5], [3, 1], [7, 1]], 20341/26011238400], [[[1, 12], [2, 5], [3, 1], [9, 1]], 509/3185049600], [[[1, 12], [2, 5], [3, 1], [14, 1]], 13/975421440], [[[1, 12], [2, 5], [3, 2], [4, 2]], 384029/133772083200], [[[1, 12], [2, 5], [3, 2], [5, 1]], 2808067/2006581248000], [[[1, 12], [2, 5], [3, 2], [6, 2]], 144877/300987187200], [[[1, 12], [2, 5], [3, 2], [8, 1]], 67391/668860416000], [[[1, 12], [2, 5], [3, 2], [10, 1]], 541/7838208000], [[[1, 12], [2, 5], [3, 3], [4, 1]], 36937/19110297600], [[[1, 12], [2, 5], [3, 3], [6, 1]], 12396547/7223692492800], [[[1, 12], [2, 5], [4, 1], [7, 1]], 551051/624269721600], [[[1, 12], [2, 5], [4, 1], [14, 1]], 10033/1248539443200], [[[1, 12], [2, 5], [4, 2], [5, 1]], 209029/140142182400], [[[1, 12], [2, 5], [4, 2], [6, 2]], 284789/70631659929600], [[[1, 12], [2, 5], [4, 2], [8, 1]], 256127/356725555200], [[[1, 12], [2, 5], [4, 2], [10, 1]], 578869/19619905536000], [[[1, 12], [2, 5], [4, 2], [12, 1]], 17231/630639820800], [[[1, 12], [2, 5], [4, 3], [6, 1]], 206153/6421059993600], [[[1, 12], [2, 5], [5, 1], [6, 2]], 2393/229920768000], [[[1, 12], [2, 5], [5, 1], [8, 1]], 111791/2043740160000], [[[1, 12], [2, 5], [5, 1], [10, 1]], 2570431/16349921280000], [[[1, 12], [2, 5], [6, 1], [7, 1]], 9211/175575859200], [[[1, 12], [2, 5], [6, 1], [14, 1]], 1/41617981440], [[[1, 12], [2, 5], [6, 1], [18, 1]], 1/17836277760], [[[1, 12], [2, 5], [8, 1], [10, 1]], 7/15925248000], [[[1, 12], [2, 7], [3, 1], [4, 2]], 117589/71345111040], [[[1, 12], [2, 7], [3, 1], [5, 1]], 170833799/441447874560000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 319967/4013162496000], [[[1, 12], [2, 7], [3, 1], [8, 1]], 2159029/58859716608000], [[[1, 12], [2, 7], [3, 1], [10, 1]], 13823/334430208000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 59921063/56184274944000], [[[1, 12], [2, 7], [3, 2], [6, 1]], 634487/859963392000], [[[1, 12], [2, 7], [4, 1], [5, 1]], 687211183/1030045040640000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 21323/1605264998400], [[[1, 12], [2, 7], [4, 1], [8, 1]], 103628683/470877732864000], [[[1, 12], [2, 7], [4, 1], [10, 1]], 14681/297271296000], [[[1, 12], [2, 7], [4, 1], [12, 1]], 9089/1605264998400], [[[1, 12], [2, 7], [4, 2], [6, 1]], 17796211/141263319859200], [[[1, 12], [2, 7], [5, 1], [6, 1]], 76289/1313832960000], [[[1, 12], [2, 7], [6, 1], [8, 1]], 397/133772083200], [[[1, 12], [2, 7], [6, 1], [10, 1]], 281/132120576000], [[[1, 12], [2, 9], [3, 1], [4, 1]], 2235649699/9888432390144000], [[[1, 12], [2, 9], [3, 1], [6, 1]], 93607207/898948399104000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 7121503/128421199872000], [[[1, 13], [2, 2], [3, 1], [4, 4]], 287/336341237760], [[[1, 13], [2, 2], [3, 1], [5, 2]], 7219/37158912000], [[[1, 13], [2, 2], [3, 1], [8, 2]], 19/81749606400], [[[1, 13], [2, 2], [3, 1], [16, 1]], 79/1195587993600], [[[1, 13], [2, 2], [3, 2], [4, 3]], 31/4777574400], [[[1, 13], [2, 2], [3, 2], [7, 1]], 12263/66886041600], [[[1, 13], [2, 2], [3, 2], [9, 1]], 75011/1471492915200], [[[1, 13], [2, 2], [3, 2], [14, 1]], 1/7315660800], [[[1, 13], [2, 2], [3, 3], [4, 2]], 11849/200658124800], [[[1, 13], [2, 2], [3, 3], [5, 1]], 26171/85996339200], [[[1, 13], [2, 2], [3, 3], [6, 2]], 40241/3611846246400], [[[1, 13], [2, 2], [3, 3], [8, 1]], 131/25082265600], [[[1, 13], [2, 2], [3, 3], [10, 1]], 11/15676416000], [[[1, 13], [2, 2], [3, 4], [4, 1]], 1984177/14447384985600], [[[1, 13], [2, 2], [3, 4], [6, 1]], 194029/1805923123200], [[[1, 13], [2, 2], [4, 1], [5, 2]], 265919/4087480320000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 629/1961990553600], [[[1, 13], [2, 2], [4, 1], [16, 1]], 1/122624409600], [[[1, 13], [2, 2], [4, 2], [7, 1]], 197/16647192576], [[[1, 13], [2, 2], [4, 2], [14, 1]], 1/214592716800], [[[1, 13], [2, 2], [4, 3], [5, 1]], 31/15138816000], [[[1, 13], [2, 2], [4, 3], [8, 1]], 1367/1569592442880], [[[1, 13], [2, 2], [4, 3], [12, 1]], 67/367873228800], [[[1, 13], [2, 2], [4, 4], [6, 1]], 1/8828957491200], [[[1, 13], [2, 2], [5, 1], [7, 1]], 442969/5722472448000], [[[1, 13], [2, 2], [5, 1], [14, 1]], 1/22353408000], [[[1, 13], [2, 2], [5, 2], [6, 1]], 247/766402560000], [[[1, 13], [2, 2], [6, 2], [7, 1]], 1/17557585920], [[[1, 13], [2, 2], [7, 1], [8, 1]], 1/637009920], [[[1, 13], [2, 2], [7, 1], [10, 1]], 1/4877107200], [[[1, 13], [2, 4], [3, 1], [4, 3]], 372034459/2754634737254400], [[[1, 13], [2, 4], [3, 1], [6, 3]], 13/37623398400], [[[1, 13], [2, 4], [3, 1], [7, 1]], 173125/824036032512], [[[1, 13], [2, 4], [3, 1], [9, 1]], 25171/802632499200], [[[1, 13], [2, 4], [3, 1], [14, 1]], 19/17882726400], [[[1, 13], [2, 4], [3, 2], [4, 2]], 12231911/23543886643200], [[[1, 13], [2, 4], [3, 2], [5, 1]], 141703/286654464000], [[[1, 13], [2, 4], [3, 2], [6, 2]], 74273/1471492915200], [[[1, 13], [2, 4], [3, 2], [8, 1]], 163/8360755200], [[[1, 13], [2, 4], [3, 2], [10, 1]], 2789/344881152000], [[[1, 13], [2, 4], [3, 3], [4, 1]], 5371/9405849600], [[[1, 13], [2, 4], [3, 3], [6, 1]], 5529929/14447384985600], [[[1, 13], [2, 4], [4, 1], [7, 1]], 6563477/41201801625600], [[[1, 13], [2, 4], [4, 1], [14, 1]], 157/429185433600], [[[1, 13], [2, 4], [4, 2], [5, 1]], 4134721/19619905536000], [[[1, 13], [2, 4], [4, 2], [6, 2]], 71/630639820800], [[[1, 13], [2, 4], [4, 2], [8, 1]], 3673/47563407360], [[[1, 13], [2, 4], [4, 2], [10, 1]], 727/408748032000], [[[1, 13], [2, 4], [4, 2], [12, 1]], 11729/4414478745600], [[[1, 13], [2, 4], [4, 3], [6, 1]], 64951/35315829964800], [[[1, 13], [2, 4], [5, 1], [6, 2]], 173/172440576000], [[[1, 13], [2, 4], [5, 1], [8, 1]], 83/9580032000], [[[1, 13], [2, 4], [5, 1], [10, 1]], 102919/5449973760000], [[[1, 13], [2, 4], [6, 1], [7, 1]], 913/175575859200], [[[1, 13], [2, 4], [8, 1], [10, 1]], 23/613122048000], [[[1, 13], [2, 6], [3, 1], [4, 2]], 2196031/3923981107200], [[[1, 13], [2, 6], [3, 1], [5, 1]], 93137419/441447874560000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 680963/52973744947200], [[[1, 13], [2, 6], [3, 1], [8, 1]], 5309/407586816000], [[[1, 13], [2, 6], [3, 1], [10, 1]], 17483/1839366144000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 2139257/4013162496000], [[[1, 13], [2, 6], [3, 2], [6, 1]], 433723/1576599552000], [[[1, 13], [2, 6], [4, 1], [5, 1]], 19176617/73574645760000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 2969/1569592442880], [[[1, 13], [2, 6], [4, 1], [8, 1]], 4666379/78479622144000], [[[1, 13], [2, 6], [4, 1], [10, 1]], 450259/58859716608000], [[[1, 13], [2, 6], [4, 1], [12, 1]], 13081/8828957491200], [[[1, 13], [2, 6], [4, 2], [6, 1]], 2523133/141263319859200], [[[1, 13], [2, 6], [5, 1], [6, 1]], 23939/1724405760000], [[[1, 13], [2, 6], [6, 1], [8, 1]], 4391/5885971660800], [[[1, 13], [2, 6], [6, 1], [10, 1]], 3181/10701766656000], [[[1, 13], [2, 8], [3, 1], [4, 1]], 2277803779/14283291230208000], [[[1, 13], [2, 8], [3, 1], [6, 1]], 44845901/847579919155200], [[[1, 13], [2, 8], [4, 1], [6, 1]], 8007067/470877732864000], [[[1, 13], [3, 1], [4, 2], [7, 1]], 31/78033715200], [[[1, 13], [3, 1], [4, 2], [9, 1]], 1/11147673600], [[[1, 13], [3, 1], [5, 1], [7, 1]], 773/39016857600], [[[1, 13], [3, 1], [5, 1], [9, 1]], 5591/1839366144000], [[[1, 13], [3, 2], [4, 2], [5, 1]], 157/167215104000], [[[1, 13], [3, 2], [4, 2], [12, 1]], 1/12541132800], [[[1, 13], [3, 3], [4, 1], [8, 1]], 11/25082265600], [[[1, 13], [4, 1], [7, 1], [8, 1]], 1/7803371520], [[[1, 13], [4, 2], [5, 1], [12, 1]], 1/38320128000], [[[1, 14], [2, 1], [3, 1], [4, 4]], 79/459105789542400], [[[1, 14], [2, 1], [3, 1], [5, 2]], 57637/4598415360000], [[[1, 14], [2, 1], [3, 1], [8, 2]], 79/9564703948800], [[[1, 14], [2, 1], [3, 1], [16, 1]], 1/1195587993600], [[[1, 14], [2, 1], [3, 2], [4, 3]], 17/100329062400], [[[1, 14], [2, 1], [3, 2], [7, 1]], 577/50164531200], [[[1, 14], [2, 1], [3, 2], [9, 1]], 433637/172164671078400], [[[1, 14], [2, 1], [3, 3], [4, 2]], 1/2229534720], [[[1, 14], [2, 1], [3, 3], [5, 1]], 11269/472979865600], [[[1, 14], [2, 1], [3, 3], [8, 1]], 1/7166361600], [[[1, 14], [2, 1], [3, 4], [4, 1]], 11551/2063912140800], [[[1, 14], [2, 1], [3, 4], [6, 1]], 6289/1805923123200], [[[1, 14], [2, 1], [4, 1], [5, 2]], 1667/908328960000], [[[1, 14], [2, 1], [4, 1], [8, 2]], 1/980995276800], [[[1, 14], [2, 1], [4, 2], [7, 1]], 19/208089907200], [[[1, 14], [2, 1], [4, 3], [5, 1]], 19/408748032000], [[[1, 14], [2, 1], [4, 3], [8, 1]], 1/79272345600], [[[1, 14], [2, 1], [4, 3], [12, 1]], 1/367873228800], [[[1, 14], [2, 1], [5, 1], [7, 1]], 69737/17167417344000], [[[1, 14], [2, 1], [7, 1], [8, 1]], 1/31213486080], [[[1, 14], [2, 3], [3, 1], [4, 3]], 14148019/2754634737254400], [[[1, 14], [2, 3], [3, 1], [6, 3]], 1/150493593600], [[[1, 14], [2, 3], [3, 1], [7, 1]], 1016179/33476463820800], [[[1, 14], [2, 3], [3, 1], [9, 1]], 105857/30901351219200], [[[1, 14], [2, 3], [3, 1], [14, 1]], 79/2092278988800], [[[1, 14], [2, 3], [3, 2], [4, 2]], 1249187/30607052636160], [[[1, 14], [2, 3], [3, 2], [5, 1]], 49381/544997376000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 487129/196759624089600], [[[1, 14], [2, 3], [3, 2], [8, 1]], 2341/1261279641600], [[[1, 14], [2, 3], [3, 2], [10, 1]], 323/747242496000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 430799/5297374494720], [[[1, 14], [2, 3], [3, 3], [6, 1]], 251539/5885971660800], [[[1, 14], [2, 3], [4, 1], [7, 1]], 17161/1177194332160], [[[1, 14], [2, 3], [4, 1], [14, 1]], 1/142021361664], [[[1, 14], [2, 3], [4, 2], [5, 1]], 149/10899947520], [[[1, 14], [2, 3], [4, 2], [8, 1]], 511793/129848102092800], [[[1, 14], [2, 3], [4, 2], [10, 1]], 23/408748032000], [[[1, 14], [2, 3], [4, 2], [12, 1]], 23/183936614400], [[[1, 14], [2, 3], [4, 3], [6, 1]], 46927/1071246842265600], [[[1, 14], [2, 3], [5, 1], [6, 2]], 31/689762304000], [[[1, 14], [2, 3], [5, 1], [8, 1]], 577/817496064000], [[[1, 14], [2, 3], [5, 1], [10, 1]], 271/227082240000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 19/78033715200], [[[1, 14], [2, 3], [8, 1], [10, 1]], 31/18598035456000], [[[1, 14], [2, 5], [3, 1], [4, 2]], 62014661/612141052723200], [[[1, 14], [2, 5], [3, 1], [5, 1]], 304705199/4591057895424000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 198761/172164671078400], [[[1, 14], [2, 5], [3, 1], [8, 1]], 237073/95647039488000], [[[1, 14], [2, 5], [3, 1], [10, 1]], 42199/35867639808000], [[[1, 14], [2, 5], [3, 2], [4, 1]], 17159929/117719433216000], [[[1, 14], [2, 5], [3, 2], [6, 1]], 7958317/137731736862720], [[[1, 14], [2, 5], [4, 1], [5, 1]], 5604407/98099527680000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 2377/16068702633984], [[[1, 14], [2, 5], [4, 1], [8, 1]], 29537/3139184885760], [[[1, 14], [2, 5], [4, 1], [10, 1]], 884077/1339058552832000], [[[1, 14], [2, 5], [4, 1], [12, 1]], 2129/9918952243200], [[[1, 14], [2, 5], [4, 2], [6, 1]], 1277/840853094400], [[[1, 14], [2, 5], [5, 1], [6, 1]], 4927/2759049216000], [[[1, 14], [2, 5], [6, 1], [8, 1]], 5237/48693038284800], [[[1, 14], [2, 5], [6, 1], [10, 1]], 23/919683072000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 8788759279/128549621071872000], [[[1, 14], [2, 7], [3, 1], [6, 1]], 7453463/440741557960704], [[[1, 14], [2, 7], [4, 1], [6, 1]], 423336863/128549621071872000], [[[1, 15], [2, 2], [3, 1], [4, 3]], 10631/153035263180800], [[[1, 15], [2, 2], [3, 1], [7, 1]], 152941/66952927641600], [[[1, 15], [2, 2], [3, 1], [9, 1]], 1075/5356234211328], [[[1, 15], [2, 2], [3, 1], [14, 1]], 1/2092278988800], [[[1, 15], [2, 2], [3, 2], [4, 2]], 352277/306070526361600], [[[1, 15], [2, 2], [3, 2], [5, 1]], 33977/4013162496000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 8599/196759624089600], [[[1, 15], [2, 2], [3, 2], [8, 1]], 59/708496588800], [[[1, 15], [2, 2], [3, 2], [10, 1]], 7/853991424000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 266323/51649401323520], [[[1, 15], [2, 2], [3, 3], [6, 1]], 20303/9182115790848], [[[1, 15], [2, 2], [4, 1], [7, 1]], 5177/8240360325120], [[[1, 15], [2, 2], [4, 1], [14, 1]], 11/213032042496000], [[[1, 15], [2, 2], [4, 2], [5, 1]], 614539/1785411403776000], [[[1, 15], [2, 2], [4, 2], [8, 1]], 76673/973860765696000], [[[1, 15], [2, 2], [4, 2], [10, 1]], 1/1226244096000], [[[1, 15], [2, 2], [4, 2], [12, 1]], 23/8369115955200], [[[1, 15], [2, 2], [4, 3], [6, 1]], 11/8764746891264000], [[[1, 15], [2, 2], [5, 1], [6, 2]], 1/1379524608000], [[[1, 15], [2, 2], [5, 1], [8, 1]], 17/613122048000], [[[1, 15], [2, 2], [5, 1], [10, 1]], 653/18393661440000], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/234101145600], [[[1, 15], [2, 2], [8, 1], [10, 1]], 11/304331489280000], [[[1, 15], [2, 4], [3, 1], [4, 2]], 40400557/4284987369062400], [[[1, 15], [2, 4], [3, 1], [5, 1]], 4195439/353158299648000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 54343/1004293914624000], [[[1, 15], [2, 4], [3, 1], [8, 1]], 19753/76517631590400], [[[1, 15], [2, 4], [3, 1], [10, 1]], 3833/50214695731200], [[[1, 15], [2, 4], [3, 2], [4, 1]], 4934771/229552894771200], [[[1, 15], [2, 4], [3, 2], [6, 1]], 3253769/482061079019520], [[[1, 15], [2, 4], [4, 1], [5, 1]], 129721/18728091648000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 44327/8034351316992000], [[[1, 15], [2, 4], [4, 1], [8, 1]], 148627/174897443635200], [[[1, 15], [2, 4], [4, 1], [10, 1]], 402581/13390585528320000], [[[1, 15], [2, 4], [4, 1], [12, 1]], 410341/24103053950976000], [[[1, 15], [2, 4], [4, 2], [6, 1]], 193/2479738060800], [[[1, 15], [2, 4], [5, 1], [6, 1]], 122783/1004293914624000], [[[1, 15], [2, 4], [6, 1], [8, 1]], 136861/16068702633984000], [[[1, 15], [2, 4], [6, 1], [10, 1]], 31/27897053184000], [[[1, 15], [2, 6], [3, 1], [4, 1]], 28853609/1669475598336000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 83878217/25709924214374400], [[[1, 15], [2, 6], [4, 1], [6, 1]], 6928771/18364231581696000], [[[1, 15], [3, 1], [4, 2], [5, 1]], 323/38258815795200], [[[1, 15], [3, 1], [4, 2], [12, 1]], 1/3586763980800], [[[1, 15], [3, 2], [4, 1], [8, 1]], 7/1366386278400], [[[1, 15], [4, 1], [5, 1], [8, 1]], 1/613122048000], [[[1, 16], [2, 1], [3, 1], [4, 3]], 41/35315829964800], [[[1, 16], [2, 1], [3, 1], [7, 1]], 3323/40171756584960], [[[1, 16], [2, 1], [3, 1], [9, 1]], 449/78256668672000], [[[1, 16], [2, 1], [3, 2], [4, 2]], 2113/382588157952000], [[[1, 16], [2, 1], [3, 2], [5, 1]], 2797/7453016064000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 53/38258815795200], [[[1, 16], [2, 1], [3, 3], [4, 1]], 117659/1032988026470400], [[[1, 16], [2, 1], [3, 3], [6, 1]], 4061/98379812044800], [[[1, 16], [2, 1], [4, 1], [7, 1]], 83/8240360325120], [[[1, 16], [2, 1], [4, 1], [14, 1]], 1/2343352467456000], [[[1, 16], [2, 1], [4, 2], [5, 1]], 20869/13390585528320000], [[[1, 16], [2, 1], [4, 2], [8, 1]], 331/1947721531392000], [[[1, 16], [2, 1], [4, 2], [12, 1]], 11/365197787136000], [[[1, 16], [2, 1], [4, 3], [6, 1]], 1/96412215803904000], [[[1, 16], [2, 1], [5, 1], [8, 1]], 1/2452488192000], [[[1, 16], [2, 1], [5, 1], [10, 1]], 1/2675441664000], [[[1, 16], [2, 1], [8, 1], [10, 1]], 1/3347646382080000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 137237/324620255232000], [[[1, 16], [2, 3], [3, 1], [5, 1]], 1288901/1071246842265600], [[[1, 16], [2, 3], [3, 1], [6, 2]], 701/602576348774400], [[[1, 16], [2, 3], [3, 1], [8, 1]], 23411/1606870263398400], [[[1, 16], [2, 3], [3, 1], [10, 1]], 4007/1673823191040000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 29707/17854114037760], [[[1, 16], [2, 3], [3, 2], [6, 1]], 1709599/4017175658496000], [[[1, 16], [2, 3], [4, 1], [5, 1]], 26947/59513713459200], [[[1, 16], [2, 3], [4, 1], [6, 2]], 607/8034351316992000], [[[1, 16], [2, 3], [4, 1], [8, 1]], 362909/8569974738124800], [[[1, 16], [2, 3], [4, 1], [10, 1]], 9463/13390585528320000], [[[1, 16], [2, 3], [4, 1], [12, 1]], 17467/24103053950976000], [[[1, 16], [2, 3], [4, 2], [6, 1]], 179/79351617945600], [[[1, 16], [2, 3], [5, 1], [6, 1]], 20869/5021469573120000], [[[1, 16], [2, 3], [6, 1], [8, 1]], 647/1785411403776000], [[[1, 16], [2, 3], [6, 1], [10, 1]], 11/456497233920000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 12165499/4761097076736000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 2237017/5933059434086400], [[[1, 16], [2, 5], [4, 1], [6, 1]], 35899/1412633198592000], [[[1, 17], [2, 2], [3, 1], [4, 2]], 1081/142832912302080], [[[1, 17], [2, 2], [3, 1], [5, 1]], 1691/25225592832000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 47/6025763487744000], [[[1, 17], [2, 2], [3, 1], [8, 1]], 551/1339058552832000], [[[1, 17], [2, 2], [3, 1], [10, 1]], 47/1673823191040000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 60323/964122158039040], [[[1, 17], [2, 2], [3, 2], [6, 1]], 160327/12051526975488000], [[[1, 17], [2, 2], [4, 1], [5, 1]], 197039/13390585528320000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 7079/6592288260096000], [[[1, 17], [2, 2], [4, 1], [10, 1]], 41/4463528509440000], [[[1, 17], [2, 2], [4, 1], [12, 1]], 41/2678117105664000], [[[1, 17], [2, 2], [4, 2], [6, 1]], 61/2142493684531200], [[[1, 17], [2, 2], [5, 1], [6, 1]], 137/2510734786560000], [[[1, 17], [2, 2], [6, 1], [8, 1]], 41/5356234211328000], [[[1, 17], [2, 2], [6, 1], [10, 1]], 1/5021469573120000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 14077573/64274810535936000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 2488391/96412215803904000], [[[1, 17], [2, 4], [4, 1], [6, 1]], 1669/1648072065024000], [[[1, 17], [3, 1], [4, 1], [8, 1]], 47/2678117105664000], [[[1, 18], [2, 1], [3, 1], [4, 2]], 503/21424936845312000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 303223/160687026339840000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 1/223176425472000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 17239/19282443160780800], [[[1, 18], [2, 1], [3, 2], [6, 1]], 769/4820610790195200], [[[1, 18], [2, 1], [4, 1], [5, 1]], 4913/26781171056640000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 569/51419848428748800], [[[1, 18], [2, 1], [4, 1], [10, 1]], 1/13390585528320000], [[[1, 18], [2, 1], [4, 1], [12, 1]], 1/8034351316992000], [[[1, 18], [2, 1], [6, 1], [8, 1]], 1/16068702633984000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 52177/4944216195072000], [[[1, 18], [2, 3], [3, 1], [6, 1]], 129641/128549621071872000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 17/706316599296000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 303187/1156946589646848000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 2369/115694658964684800], [[[1, 19], [2, 2], [4, 1], [6, 1]], 19/55092694745088000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 2983/1156946589646848000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 191/1156946589646848000], [[[1, 20], [2, 1], [4, 1], [6, 1]], 1/385648863215616000], [[[2, 3], [4, 1], [8, 1], [16, 2]], 1/1024], [[[2, 3], [4, 2], [10, 2], [22, 1]], 1/35200], [[[2, 3], [4, 3], [8, 2], [16, 1]], 1/16384], [[[2, 3], [4, 4], [6, 1], [26, 1]], 1/958464], [[[2, 3], [4, 4], [10, 1], [22, 1]], 1/1351680], [[[2, 3], [6, 1], [8, 2], [26, 1]], 1/19968], [[[2, 3], [6, 2], [14, 1], [18, 2]], 1/2268], [[[2, 3], [6, 2], [18, 1], [26, 1]], 1/1404], [[[2, 3], [8, 2], [10, 1], [22, 1]], 1/28160], [[[2, 5], [4, 2], [6, 2], [10, 3]], 1/576000], [[[2, 5], [4, 2], [6, 2], [26, 1]], 1/119808], [[[2, 5], [4, 2], [10, 1], [14, 2]], 1/125440], [[[2, 5], [4, 2], [10, 1], [26, 1]], 1/49920], [[[2, 5], [4, 2], [10, 3], [12, 1]], 1/144000], [[[2, 5], [4, 2], [12, 1], [14, 2]], 1/37632], [[[2, 5], [4, 2], [12, 1], [26, 1]], 1/14976], [[[2, 5], [4, 4], [6, 1], [22, 1]], 1/1622016], [[[2, 5], [4, 4], [6, 2], [10, 2]], 1/22118400], [[[2, 5], [4, 4], [6, 3], [14, 1]], 1/27869184], [[[2, 5], [4, 4], [6, 3], [18, 1]], 1/3981312], [[[2, 5], [4, 4], [8, 1], [16, 1]], 1/589824], [[[2, 5], [6, 1], [8, 2], [22, 1]], 1/33792], [[[2, 5], [6, 1], [10, 2], [22, 1]], 1/13200], [[[2, 5], [6, 1], [10, 3], [18, 1]], 1/27000], [[[2, 5], [6, 1], [14, 1], [26, 1]], 1/8736], [[[2, 5], [6, 1], [14, 2], [18, 1]], 1/4704], [[[2, 5], [6, 1], [18, 1], [26, 1]], 1/2808], [[[2, 5], [6, 2], [8, 2], [10, 2]], 1/460800], [[[2, 5], [6, 2], [10, 1], [18, 2]], 1/3240], [[[2, 5], [6, 2], [10, 1], [26, 1]], 1/9360], [[[2, 5], [6, 2], [10, 2], [30, 1]], 1/3600], [[[2, 5], [6, 2], [18, 1], [22, 1]], 1/2376], [[[2, 5], [6, 3], [8, 2], [14, 1]], 1/580608], [[[2, 5], [6, 3], [8, 2], [18, 1]], 1/82944], [[[2, 5], [6, 3], [10, 1], [22, 1]], 1/142560], [[[2, 5], [6, 3], [10, 2], [18, 1]], 1/32400], [[[2, 5], [6, 4], [10, 1], [30, 1]], 1/38880], [[[2, 5], [6, 4], [14, 1], [18, 1]], 5/163296], [[[2, 5], [10, 1], [14, 1], [22, 1]], 1/12320], [[[2, 7], [4, 1], [6, 6], [8, 1]], 1/11197440], [[[2, 7], [4, 1], [8, 1], [10, 3]], 1/2304000], [[[2, 7], [4, 1], [8, 1], [14, 2]], 1/602112], [[[2, 7], [4, 1], [8, 1], [26, 1]], 1/239616], [[[2, 7], [4, 1], [8, 2], [16, 1]], 1/983040], [[[2, 7], [4, 2], [6, 1], [10, 3]], 1/460800], [[[2, 7], [4, 2], [6, 1], [14, 2]], 1/602112], [[[2, 7], [4, 2], [6, 1], [26, 1]], 41/9584640], [[[2, 7], [4, 2], [6, 2], [22, 1]], 1/202752], [[[2, 7], [4, 2], [6, 3], [10, 2]], 11/8294400], [[[2, 7], [4, 2], [6, 4], [14, 1]], 1/3483648], [[[2, 7], [4, 2], [6, 4], [18, 1]], 1/497664], [[[2, 7], [4, 2], [6, 5], [10, 1]], 1/18662400], [[[2, 7], [4, 2], [6, 5], [12, 1]], 1/5598720], [[[2, 7], [4, 2], [10, 1], [22, 1]], 17/13516800], [[[2, 7], [4, 2], [10, 2], [14, 1]], 1/537600], [[[2, 7], [4, 2], [12, 1], [22, 1]], 1/253440], [[[2, 7], [4, 4], [6, 1], [10, 2]], 1/22118400], [[[2, 7], [4, 4], [6, 2], [14, 1]], 1/18579456], [[[2, 7], [4, 4], [6, 2], [18, 1]], 1/15925248], [[[2, 7], [4, 4], [6, 3], [10, 1]], 1/39813120], [[[2, 7], [4, 4], [10, 1], [14, 1]], 1/20643840], [[[2, 7], [6, 1], [8, 2], [10, 2]], 1/460800], [[[2, 7], [6, 1], [10, 1], [14, 2]], 1/15680], [[[2, 7], [6, 1], [10, 1], [26, 1]], 17/299520], [[[2, 7], [6, 1], [10, 2], [30, 1]], 1/115200], [[[2, 7], [6, 1], [14, 1], [22, 1]], 1/14784], [[[2, 7], [6, 1], [18, 1], [22, 1]], 1/47520], [[[2, 7], [6, 2], [8, 2], [14, 1]], 1/387072], [[[2, 7], [6, 2], [8, 2], [18, 1]], 1/331776], [[[2, 7], [6, 2], [10, 1], [22, 1]], 5/76032], [[[2, 7], [6, 2], [10, 2], [14, 1]], 1/22400], [[[2, 7], [6, 2], [10, 2], [18, 1]], 1/12960], [[[2, 7], [6, 3], [8, 2], [10, 1]], 1/829440], [[[2, 7], [6, 3], [10, 1], [30, 1]], 1/103680], [[[2, 7], [6, 3], [14, 1], [18, 1]], 29/435456], [[[2, 7], [6, 4], [10, 1], [14, 1]], 1/136080], [[[2, 7], [6, 4], [10, 1], [18, 1]], 11/233280], [[[2, 7], [8, 2], [10, 1], [14, 1]], 1/430080], [[[2, 9], [4, 1], [6, 5], [8, 1]], 1/14929920], [[[2, 9], [4, 1], [8, 1], [22, 1]], 1/4055040], [[[2, 9], [4, 2], [6, 1], [22, 1]], 1/3244032], [[[2, 9], [4, 2], [6, 2], [10, 2]], 113/221184000], [[[2, 9], [4, 2], [6, 3], [14, 1]], 121/278691840], [[[2, 9], [4, 2], [6, 3], [18, 1]], 7/13271040], [[[2, 9], [4, 2], [6, 4], [10, 1]], 7/29859840], [[[2, 9], [4, 2], [6, 4], [12, 1]], 1/8957952], [[[2, 9], [4, 2], [8, 1], [16, 1]], 1/82575360], [[[2, 9], [4, 2], [10, 2], [12, 1]], 1/6912000], [[[2, 9], [4, 4], [6, 1], [14, 1]], 1/371589120], [[[2, 9], [4, 4], [6, 1], [18, 1]], 1/1114767360], [[[2, 9], [4, 4], [6, 2], [10, 1]], 1/265420800], [[[2, 9], [6, 1], [8, 2], [14, 1]], 1/7741440], [[[2, 9], [6, 1], [8, 2], [18, 1]], 1/23224320], [[[2, 9], [6, 1], [10, 1], [22, 1]], 157/30412800], [[[2, 9], [6, 1], [10, 2], [14, 1]], 1/89600], [[[2, 9], [6, 1], [10, 2], [18, 1]], 23/10368000], [[[2, 9], [6, 2], [8, 2], [10, 1]], 1/5529600], [[[2, 9], [6, 2], [10, 1], [30, 1]], 1/8294400], [[[2, 9], [6, 2], [14, 1], [18, 1]], 61/6967296], [[[2, 9], [6, 3], [10, 1], [14, 1]], 89/8709120], [[[2, 9], [6, 3], [10, 1], [18, 1]], 71/6220800], [[[2, 11], [4, 1], [6, 4], [8, 1]], 17/1672151040], [[[2, 11], [4, 1], [8, 1], [10, 2]], 1/110592000], [[[2, 11], [4, 2], [6, 1], [10, 2]], 1/61931520], [[[2, 11], [4, 2], [6, 2], [14, 1]], 1/37158912], [[[2, 11], [4, 2], [6, 2], [18, 1]], 1/74317824], [[[2, 11], [4, 2], [6, 3], [10, 1]], 289/8360755200], [[[2, 11], [4, 2], [6, 3], [12, 1]], 1/156764160], [[[2, 11], [4, 2], [10, 1], [14, 1]], 71/13005619200], [[[2, 11], [4, 2], [12, 1], [14, 1]], 1/487710720], [[[2, 11], [4, 4], [6, 1], [10, 1]], 1/14863564800], [[[2, 11], [6, 1], [8, 2], [10, 1]], 1/309657600], [[[2, 11], [6, 1], [10, 1], [30, 1]], 1/5573836800], [[[2, 11], [6, 1], [14, 1], [18, 1]], 2561/23410114560], [[[2, 11], [6, 2], [10, 1], [14, 1]], 61/58060800], [[[2, 11], [6, 2], [10, 1], [18, 1]], 5/13934592], [[[2, 13], [4, 1], [6, 3], [8, 1]], 11/25082265600], [[[2, 13], [4, 1], [8, 1], [14, 1]], 1/7803371520], [[[2, 13], [4, 2], [6, 1], [14, 1]], 31/78033715200], [[[2, 13], [4, 2], [6, 1], [18, 1]], 1/11147673600], [[[2, 13], [4, 2], [6, 2], [10, 1]], 157/167215104000], [[[2, 13], [4, 2], [6, 2], [12, 1]], 1/12541132800], [[[2, 13], [4, 2], [10, 1], [12, 1]], 1/38320128000], [[[2, 13], [6, 1], [10, 1], [14, 1]], 773/39016857600], [[[2, 13], [6, 1], [10, 1], [18, 1]], 5591/1839366144000], [[[2, 15], [4, 1], [6, 2], [8, 1]], 7/1366386278400], [[[2, 15], [4, 1], [8, 1], [10, 1]], 1/613122048000], [[[2, 15], [4, 2], [6, 1], [10, 1]], 323/38258815795200], [[[2, 15], [4, 2], [6, 1], [12, 1]], 1/3586763980800], [[[2, 17], [4, 1], [6, 1], [8, 1]], 47/2678117105664000], [[[1, 1], [2, 2], [3, 1], [13, 1], [16, 1]], 1/2496], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 2]], 1/1024], [[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 1/4096], [[[1, 1], [2, 2], [4, 2], [10, 2], [22, 1]], 1/35200], [[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 1/16384], [[[1, 1], [2, 2], [4, 4], [6, 1], [26, 1]], 1/958464], [[[1, 1], [2, 2], [4, 4], [10, 1], [22, 1]], 1/1351680], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 1/196608], [[[1, 1], [2, 2], [5, 1], [11, 1], [16, 1]], 1/3520], [[[1, 1], [2, 2], [6, 1], [8, 2], [26, 1]], 1/19968], [[[1, 1], [2, 2], [6, 1], [16, 1], [26, 1]], 1/2496], [[[1, 1], [2, 2], [6, 2], [14, 1], [18, 2]], 1/2268], [[[1, 1], [2, 2], [6, 2], [18, 1], [26, 1]], 1/1404], [[[1, 1], [2, 2], [8, 2], [10, 1], [22, 1]], 1/28160], [[[1, 1], [2, 2], [10, 1], [16, 1], [22, 1]], 1/3520], [[[1, 1], [2, 4], [3, 1], [4, 3], [10, 3]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [4, 3], [13, 1]], 1/1437696], [[[1, 1], [2, 4], [3, 1], [4, 3], [14, 2]], 1/903168], [[[1, 1], [2, 4], [3, 1], [4, 3], [26, 1]], 1/359424], [[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/1944], [[[1, 1], [2, 4], [3, 1], [6, 3], [26, 1]], 1/5616], [[[1, 1], [2, 4], [4, 1], [6, 3], [18, 2]], 1/3888], [[[1, 1], [2, 4], [4, 1], [6, 3], [26, 1]], 1/44928], [[[1, 1], [2, 4], [4, 1], [7, 1], [10, 3]], 1/84000], [[[1, 1], [2, 4], [4, 1], [7, 1], [14, 2]], 1/2744], [[[1, 1], [2, 4], [4, 1], [7, 1], [26, 1]], 1/8736], [[[1, 1], [2, 4], [4, 1], [8, 2], [22, 1]], 1/22528], [[[1, 1], [2, 4], [4, 1], [8, 3], [14, 1]], 1/28672], [[[1, 1], [2, 4], [4, 1], [10, 2], [22, 1]], 3/17600], [[[1, 1], [2, 4], [4, 2], [5, 1], [10, 3]], 1/32000], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 3]], 1/576000], [[[1, 1], [2, 4], [4, 2], [6, 2], [26, 1]], 1/39936], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 3]], 1/768000], [[[1, 1], [2, 4], [4, 2], [8, 1], [14, 2]], 1/200704], [[[1, 1], [2, 4], [4, 2], [8, 1], [26, 1]], 1/79872], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 11/24576], [[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 1/20480], [[[1, 1], [2, 4], [4, 2], [10, 1], [14, 2]], 1/62720], [[[1, 1], [2, 4], [4, 2], [10, 1], [26, 1]], 1/12480], [[[1, 1], [2, 4], [4, 2], [10, 3], [12, 1]], 1/144000], [[[1, 1], [2, 4], [4, 2], [12, 1], [14, 2]], 1/18816], [[[1, 1], [2, 4], [4, 2], [12, 1], [26, 1]], 1/3744], [[[1, 1], [2, 4], [4, 3], [5, 1], [11, 1]], 1/2027520], [[[1, 1], [2, 4], [4, 3], [6, 1], [26, 1]], 1/36864], [[[1, 1], [2, 4], [4, 3], [8, 2], [14, 1]], 1/14336], [[[1, 1], [2, 4], [4, 3], [10, 1], [22, 1]], 37/675840], [[[1, 1], [2, 4], [4, 3], [10, 2], [14, 1]], 1/89600], [[[1, 1], [2, 4], [4, 3], [12, 1], [22, 1]], 1/8448], [[[1, 1], [2, 4], [4, 4], [5, 1], [10, 2]], 1/1228800], [[[1, 1], [2, 4], [4, 4], [6, 1], [22, 1]], 1/811008], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 2]], 1/22118400], [[[1, 1], [2, 4], [4, 4], [6, 3], [14, 1]], 1/27869184], [[[1, 1], [2, 4], [4, 4], [6, 3], [18, 1]], 1/3981312], [[[1, 1], [2, 4], [4, 4], [7, 1], [14, 1]], 1/688128], [[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 7/589824], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 1/589824], [[[1, 1], [2, 4], [4, 5], [6, 2], [18, 1]], 1/2654208], [[[1, 1], [2, 4], [4, 5], [8, 1], [14, 1]], 1/1376256], [[[1, 1], [2, 4], [4, 5], [10, 1], [14, 1]], 1/3440640], [[[1, 1], [2, 4], [5, 1], [8, 1], [10, 3]], 1/120000], [[[1, 1], [2, 4], [5, 1], [8, 1], [14, 2]], 1/31360], [[[1, 1], [2, 4], [5, 1], [8, 1], [26, 1]], 1/12480], [[[1, 1], [2, 4], [5, 1], [8, 2], [10, 2]], 1/25600], [[[1, 1], [2, 4], [6, 1], [8, 2], [22, 1]], 1/16896], [[[1, 1], [2, 4], [6, 1], [10, 2], [22, 1]], 1/13200], [[[1, 1], [2, 4], [6, 1], [10, 3], [18, 1]], 1/27000], [[[1, 1], [2, 4], [6, 1], [14, 1], [26, 1]], 1/2912], [[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/2016], [[[1, 1], [2, 4], [6, 1], [16, 1], [22, 1]], 1/4224], [[[1, 1], [2, 4], [6, 1], [18, 1], [26, 1]], 1/702], [[[1, 1], [2, 4], [6, 2], [8, 1], [26, 1]], 1/14976], [[[1, 1], [2, 4], [6, 2], [8, 2], [10, 2]], 1/460800], [[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 1/1620], [[[1, 1], [2, 4], [6, 2], [10, 1], [26, 1]], 1/9360], [[[1, 1], [2, 4], [6, 2], [10, 2], [16, 1]], 1/57600], [[[1, 1], [2, 4], [6, 2], [10, 2], [30, 1]], 1/3600], [[[1, 1], [2, 4], [6, 2], [18, 1], [22, 1]], 1/1188], [[[1, 1], [2, 4], [6, 3], [8, 2], [14, 1]], 1/580608], [[[1, 1], [2, 4], [6, 3], [8, 2], [18, 1]], 1/82944], [[[1, 1], [2, 4], [6, 3], [10, 1], [22, 1]], 1/142560], [[[1, 1], [2, 4], [6, 3], [10, 2], [18, 1]], 1/32400], [[[1, 1], [2, 4], [6, 3], [14, 1], [16, 1]], 1/72576], [[[1, 1], [2, 4], [6, 3], [16, 1], [18, 1]], 1/10368], [[[1, 1], [2, 4], [6, 4], [10, 1], [30, 1]], 1/38880], [[[1, 1], [2, 4], [6, 4], [14, 1], [18, 1]], 5/163296], [[[1, 1], [2, 4], [7, 1], [8, 2], [14, 1]], 1/14336], [[[1, 1], [2, 4], [7, 1], [14, 1], [16, 1]], 1/1792], [[[1, 1], [2, 4], [10, 1], [14, 1], [22, 1]], 3/12320], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 5]], 1/134369280], [[[1, 1], [2, 6], [3, 1], [4, 3], [22, 1]], 1/6082560], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 4]], 1/23887872], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 1/43200], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/14112], [[[1, 1], [2, 6], [3, 1], [6, 2], [26, 1]], 5/44928], [[[1, 1], [2, 6], [3, 1], [6, 3], [22, 1]], 1/9504], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 2]], 1/497664], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 7/777600], [[[1, 1], [2, 6], [3, 1], [6, 5], [14, 1]], 1/108864], [[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 11/139968], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 3]], 1/576000], [[[1, 1], [2, 6], [3, 1], [8, 1], [13, 1]], 1/2396160], [[[1, 1], [2, 6], [3, 1], [8, 1], [14, 2]], 1/150528], [[[1, 1], [2, 6], [3, 1], [8, 1], [26, 1]], 1/59904], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 3]], 1/480000], [[[1, 1], [2, 6], [4, 1], [5, 1], [14, 2]], 1/125440], [[[1, 1], [2, 6], [4, 1], [5, 1], [26, 1]], 1/49920], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 1/147456], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/86400], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 1/225792], [[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 1/7776], [[[1, 1], [2, 6], [4, 1], [6, 2], [26, 1]], 1/19968], [[[1, 1], [2, 6], [4, 1], [6, 3], [22, 1]], 5/228096], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 1/3981312], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 1/1036800], [[[1, 1], [2, 6], [4, 1], [6, 5], [7, 1]], 1/3265920], [[[1, 1], [2, 6], [4, 1], [6, 5], [14, 1]], 1/1306368], [[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 7/559872], [[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 1/11197440], [[[1, 1], [2, 6], [4, 1], [7, 1], [22, 1]], 1/147840], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 11/460800], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 13/75264], [[[1, 1], [2, 6], [4, 1], [8, 1], [26, 1]], 29/119808], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 1/204800], [[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 7/327680], [[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 1/122880], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/12544], [[[1, 1], [2, 6], [4, 1], [10, 1], [26, 1]], 1/8320], [[[1, 1], [2, 6], [4, 1], [10, 3], [12, 1]], 1/288000], [[[1, 1], [2, 6], [4, 1], [12, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [4, 1], [12, 1], [26, 1]], 1/29952], [[[1, 1], [2, 6], [4, 1], [14, 1], [22, 1]], 1/9856], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 1/98304], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 19/2304000], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/150528], [[[1, 1], [2, 6], [4, 2], [6, 1], [26, 1]], 29/1064960], [[[1, 1], [2, 6], [4, 2], [6, 2], [22, 1]], 1/50688], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 1/110592], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/331776], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/1161216], [[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/165888], [[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 11/29859840], [[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 1/18662400], [[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 1/5598720], [[[1, 1], [2, 6], [4, 2], [8, 1], [22, 1]], 1/122880], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1/172032], [[[1, 1], [2, 6], [4, 2], [10, 1], [22, 1]], 197/13516800], [[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/76800], [[[1, 1], [2, 6], [4, 2], [12, 1], [22, 1]], 1/23040], [[[1, 1], [2, 6], [4, 3], [6, 1], [22, 1]], 19/811008], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 1/147456], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 61/11059200], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 13/13934592], [[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 19/1990656], [[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 1/4976640], [[[1, 1], [2, 6], [4, 3], [6, 4], [12, 1]], 1/1492992], [[[1, 1], [2, 6], [4, 3], [7, 1], [14, 1]], 1/1032192], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 1/153600], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 43/1966080], [[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 1/81920], [[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 6], [4, 3], [10, 2], [12, 1]], 1/76800], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 1/5529600], [[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 1/4644864], [[[1, 1], [2, 6], [4, 4], [6, 2], [18, 1]], 7/15925248], [[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 1/19906560], [[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 1/2949120], [[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 1/4128768], [[[1, 1], [2, 6], [4, 5], [6, 1], [18, 1]], 1/5308416], [[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 1/7077888], [[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 1/8847360], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 1/5898240], [[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 1/12000], [[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 1/32400], [[[1, 1], [2, 6], [5, 1], [6, 5], [8, 1]], 1/4665600], [[[1, 1], [2, 6], [5, 1], [6, 5], [10, 1]], 1/466560], [[[1, 1], [2, 6], [5, 1], [8, 1], [11, 1]], 1/3379200], [[[1, 1], [2, 6], [5, 1], [8, 1], [22, 1]], 1/211200], [[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 1/11200], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 1/288000], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [6, 1], [8, 1], [26, 1]], 17/479232], [[[1, 1], [2, 6], [6, 1], [8, 2], [10, 2]], 1/115200], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/5880], [[[1, 1], [2, 6], [6, 1], [10, 1], [26, 1]], 77/299520], [[[1, 1], [2, 6], [6, 1], [10, 2], [16, 1]], 1/57600], [[[1, 1], [2, 6], [6, 1], [10, 2], [30, 1]], 13/115200], [[[1, 1], [2, 6], [6, 1], [14, 1], [22, 1]], 1/3696], [[[1, 1], [2, 6], [6, 1], [18, 1], [22, 1]], 1/4320], [[[1, 1], [2, 6], [6, 2], [8, 1], [22, 1]], 1/25344], [[[1, 1], [2, 6], [6, 2], [8, 2], [14, 1]], 1/96768], [[[1, 1], [2, 6], [6, 2], [8, 2], [18, 1]], 7/331776], [[[1, 1], [2, 6], [6, 2], [10, 1], [22, 1]], 1/6912], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 11/201600], [[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 7/32400], [[[1, 1], [2, 6], [6, 2], [14, 1], [16, 1]], 1/48384], [[[1, 1], [2, 6], [6, 2], [16, 1], [18, 1]], 1/41472], [[[1, 1], [2, 6], [6, 3], [7, 1], [14, 1]], 1/72576], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/345600], [[[1, 1], [2, 6], [6, 3], [8, 2], [10, 1]], 1/414720], [[[1, 1], [2, 6], [6, 3], [10, 1], [16, 1]], 1/103680], [[[1, 1], [2, 6], [6, 3], [10, 1], [30, 1]], 7/103680], [[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 107/435456], [[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 1/435456], [[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/62208], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/136080], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/14580], [[[1, 1], [2, 6], [8, 1], [10, 1], [22, 1]], 1/675840], [[[1, 1], [2, 6], [8, 2], [10, 1], [14, 1]], 1/61440], [[[1, 1], [2, 6], [10, 1], [14, 1], [16, 1]], 1/53760], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/16796160], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/13824000], [[[1, 1], [2, 8], [3, 1], [4, 1], [13, 1]], 1/201277440], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/3612672], [[[1, 1], [2, 8], [3, 1], [4, 1], [26, 1]], 1/1437696], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/2985984], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 1/214990848], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/165888000], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/63700992], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 11/6912000], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 5/225792], [[[1, 1], [2, 8], [3, 1], [6, 1], [26, 1]], 1/89856], [[[1, 1], [2, 8], [3, 1], [6, 2], [22, 1]], 7/380160], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 2]], 1/1327104], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 67/2073600], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 5/290304], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 11/373248], [[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 1/22394880], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/93312], [[[1, 1], [2, 8], [3, 1], [8, 1], [22, 1]], 1/1013760], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 1/18662400], [[[1, 1], [2, 8], [4, 1], [5, 1], [11, 1]], 1/283852800], [[[1, 1], [2, 8], [4, 1], [5, 1], [22, 1]], 1/844800], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 1/1474560], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 79/3456000], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 31/903168], [[[1, 1], [2, 8], [4, 1], [6, 1], [26, 1]], 191/9584640], [[[1, 1], [2, 8], [4, 1], [6, 2], [22, 1]], 41/1520640], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 1/1990656], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 29/1382400], [[[1, 1], [2, 8], [4, 1], [6, 4], [7, 1]], 1/5225472], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/186624], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 47/2239488], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 7/2985984], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 23/9331200], [[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 1/11197440], [[[1, 1], [2, 8], [4, 1], [7, 1], [10, 2]], 1/4032000], [[[1, 1], [2, 8], [4, 1], [8, 1], [22, 1]], 13/811008], [[[1, 1], [2, 8], [4, 1], [8, 2], [14, 1]], 1/1720320], [[[1, 1], [2, 8], [4, 1], [10, 1], [22, 1]], 421/40550400], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/43008], [[[1, 1], [2, 8], [4, 1], [12, 1], [22, 1]], 1/506880], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 11/36864000], [[[1, 1], [2, 8], [4, 2], [6, 1], [22, 1]], 37/8110080], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 1/491520], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 853/221184000], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 247/92897280], [[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 67/13271040], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 35/47775744], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 31/29859840], [[[1, 1], [2, 8], [4, 2], [6, 4], [12, 1]], 7/8957952], [[[1, 1], [2, 8], [4, 2], [7, 1], [14, 1]], 1/6881280], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 31/36864000], [[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 43/82575360], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/737280], [[[1, 1], [2, 8], [4, 2], [10, 2], [12, 1]], 1/432000], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 1/2359296], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 17/5529600], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 31/9289728], [[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 253/79626240], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/884736], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 13/6635520], [[[1, 1], [2, 8], [4, 3], [6, 3], [12, 1]], 1/746496], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/13762560], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 181/103219200], [[[1, 1], [2, 8], [4, 3], [12, 1], [14, 1]], 1/645120], [[[1, 1], [2, 8], [4, 4], [5, 1], [10, 1]], 1/176947200], [[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 1/23224320], [[[1, 1], [2, 8], [4, 4], [6, 1], [18, 1]], 11/557383680], [[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 11/265420800], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 1/70778880], [[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/35389440], [[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 37/1382400], [[[1, 1], [2, 8], [5, 1], [6, 4], [8, 1]], 1/7464960], [[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 11/3732480], [[[1, 1], [2, 8], [5, 1], [8, 1], [10, 2]], 1/5760000], [[[1, 1], [2, 8], [5, 1], [8, 2], [10, 1]], 1/3686400], [[[1, 1], [2, 8], [6, 1], [8, 1], [22, 1]], 13/4055040], [[[1, 1], [2, 8], [6, 1], [8, 2], [14, 1]], 1/483840], [[[1, 1], [2, 8], [6, 1], [8, 2], [18, 1]], 11/11612160], [[[1, 1], [2, 8], [6, 1], [10, 1], [22, 1]], 1927/30412800], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 13/161280], [[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 169/5184000], [[[1, 1], [2, 8], [6, 1], [14, 1], [16, 1]], 1/967680], [[[1, 1], [2, 8], [6, 1], [16, 1], [18, 1]], 1/2903040], [[[1, 1], [2, 8], [6, 2], [7, 1], [14, 1]], 1/193536], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 11/3686400], [[[1, 1], [2, 8], [6, 2], [8, 2], [10, 1]], 11/5529600], [[[1, 1], [2, 8], [6, 2], [10, 1], [16, 1]], 1/691200], [[[1, 1], [2, 8], [6, 2], [10, 1], [30, 1]], 31/8294400], [[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 643/6967296], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 7/1990656], [[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 1/221184], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 59/1244160], [[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 601/6220800], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/622080], [[[1, 1], [2, 8], [7, 1], [8, 1], [14, 1]], 1/1720320], [[[1, 1], [2, 8], [7, 1], [10, 1], [14, 1]], 1/215040], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 7/179159040], [[[1, 1], [2, 10], [3, 1], [4, 1], [22, 1]], 1/24330240], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 31/238878720], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 1/3762339840], [[[1, 1], [2, 10], [3, 1], [4, 3], [14, 1]], 1/11705057280], [[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 1/2229534720], [[[1, 1], [2, 10], [3, 1], [6, 1], [22, 1]], 1/1520640], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 2]], 1/46448640], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 101/33177600], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 13/3317760], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 383/209018880], [[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 1/35831808], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 143/37324800], [[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 1/27648000], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 1/29859840], [[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 1/23040000], [[[1, 1], [2, 10], [4, 1], [6, 1], [22, 1]], 71/48660480], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 1/26542080], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 11/1769472], [[[1, 1], [2, 10], [4, 1], [6, 3], [7, 1]], 1/91445760], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 3517/836075520], [[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 3089/836075520], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 631/557383680], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 889/298598400], [[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 1/17915904], [[[1, 1], [2, 10], [4, 1], [7, 1], [14, 1]], 19/1820786688], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 13/11059200], [[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/594542592], [[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 1/51609600], [[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 1/13824000], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 1/8257536], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 67/193536000], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 1/1935360], [[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 127/371589120], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 113/836075520], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 409/836075520], [[[1, 1], [2, 10], [4, 2], [6, 3], [12, 1]], 11/78382080], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 253/2601123840], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1997/13005619200], [[[1, 1], [2, 10], [4, 2], [12, 1], [14, 1]], 37/487710720], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 71/371589120], [[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 47/1114767360], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 1/7864320], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 97/265420800], [[[1, 1], [2, 10], [4, 3], [6, 2], [12, 1]], 1/9953280], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/45875200], [[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 1/61931520], [[[1, 1], [2, 10], [4, 3], [10, 1], [12, 1]], 1/19353600], [[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 29/14863564800], [[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 37/27648000], [[[1, 1], [2, 10], [5, 1], [6, 3], [8, 1]], 1/130636800], [[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 259/298598400], [[[1, 1], [2, 10], [5, 1], [8, 1], [14, 1]], 1/406425600], [[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 10], [6, 1], [7, 1], [14, 1]], 1/15482880], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/6144000], [[[1, 1], [2, 10], [6, 1], [8, 2], [10, 1]], 29/309657600], [[[1, 1], [2, 10], [6, 1], [10, 1], [16, 1]], 1/38707200], [[[1, 1], [2, 10], [6, 1], [10, 1], [30, 1]], 73/5573836800], [[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 9263/3344302080], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 13/46448640], [[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 17/92897280], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 127/8294400], [[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 1361/174182400], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 29/99532800], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/10321920], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 11/3344302080], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/663552000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 23/4459069440], [[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 1/300987187200], [[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1/919683072000], [[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 1/535088332800], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 2]], 1/11147673600], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 6721/111476736000], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 1819/15606743040], [[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 2053/100329062400], [[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 1/627056640], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 83/348364800], [[[1, 1], [2, 12], [3, 1], [8, 1], [14, 1]], 1/1950842880], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 1/522547200], [[[1, 1], [2, 12], [4, 1], [5, 1], [14, 1]], 1/1625702400], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 1/2229534720], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 31/145152000], [[[1, 1], [2, 12], [4, 1], [6, 2], [7, 1]], 1/7315660800], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 3091/11705057280], [[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 3029/40131624960], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 4507/50164531200], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 463/1194393600], [[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 1/313528320], [[[1, 1], [2, 12], [4, 1], [7, 1], [10, 1]], 1/22353408000], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 319/12485394432], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 1121/10404495360], [[[1, 1], [2, 12], [4, 1], [12, 1], [14, 1]], 1/975421440], [[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 1/1769472000], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 191/13005619200], [[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 1/265420800], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 461/66886041600], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 4927/167215104000], [[[1, 1], [2, 12], [4, 2], [6, 2], [12, 1]], 23/6270566400], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 661/204374016000], [[[1, 1], [2, 12], [4, 2], [10, 1], [12, 1]], 1/684288000], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/412876800], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 13/1592524800], [[[1, 1], [2, 12], [4, 3], [6, 1], [12, 1]], 1/836075520], [[[1, 1], [2, 12], [5, 1], [6, 2], [8, 1]], 1/10450944000], [[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 2017/66886041600], [[[1, 1], [2, 12], [5, 1], [8, 1], [10, 1]], 1/31933440000], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 5/780337152], [[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 1/557383680], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 4777/7803371520], [[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 98963/919683072000], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 11/928972800], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 1/10749542400], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/46820229120], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/16721510400], [[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 1/86082335539200], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 29/52022476800], [[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 1/50164531200], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 2659/735746457600], [[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 1/153280512000], [[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 1/41803776000], [[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 1/127733760000], [[[1, 1], [2, 14], [4, 1], [6, 1], [7, 1]], 1/2092278988800], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 3131/936404582400], [[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 367/882895749120], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 17437/10931090227200], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 15391/1471492915200], [[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 1/25082265600], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 53/89181388800], [[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 1/76640256000], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 1457/19129407897600], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 7493/17390370816000], [[[1, 1], [2, 14], [4, 2], [6, 1], [12, 1]], 79/3586763980800], [[[1, 1], [2, 14], [5, 1], [6, 1], [8, 1]], 1/2988969984000], [[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 89/334430208000], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 181/1226244096000], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 53/57388223692800], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/3678732288000], [[[1, 1], [2, 16], [3, 1], [4, 1], [12, 1]], 1/3012881743872000], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/5350883328000], [[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 1/14347055923200], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 163/14714929152000], [[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 1/11955879936000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 5281/595137134592000], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 34109/382588157952000], [[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 1/7173527961600], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 1/334764638208000], [[[1, 2], [2, 1], [3, 1], [4, 4], [13, 1]], 1/958464], [[[1, 2], [2, 1], [3, 1], [8, 2], [13, 1]], 1/19968], [[[1, 2], [2, 1], [3, 1], [13, 1], [16, 1]], 1/2496], [[[1, 2], [2, 1], [3, 2], [7, 1], [9, 2]], 1/2268], [[[1, 2], [2, 1], [3, 2], [9, 1], [13, 1]], 1/1404], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 2]], 1/1024], [[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 1/4096], [[[1, 2], [2, 1], [4, 2], [5, 2], [11, 1]], 1/35200], [[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 1/16384], [[[1, 2], [2, 1], [4, 4], [5, 1], [11, 1]], 1/1351680], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 1/196608], [[[1, 2], [2, 1], [5, 1], [8, 2], [11, 1]], 1/28160], [[[1, 2], [2, 1], [5, 1], [11, 1], [16, 1]], 1/3520], [[[1, 2], [2, 1], [6, 1], [16, 1], [26, 1]], 1/2496], [[[1, 2], [2, 1], [10, 1], [16, 1], [22, 1]], 1/3520], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 1/49152], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 3]], 1/3456000], [[[1, 2], [2, 3], [3, 1], [4, 3], [13, 1]], 7/1437696], [[[1, 2], [2, 3], [3, 1], [4, 3], [14, 2]], 1/451584], [[[1, 2], [2, 3], [3, 1], [4, 3], [26, 1]], 1/89856], [[[1, 2], [2, 3], [3, 1], [4, 4], [22, 1]], 1/202752], [[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/1944], [[[1, 2], [2, 3], [3, 1], [6, 3], [26, 1]], 1/5616], [[[1, 2], [2, 3], [3, 1], [7, 1], [13, 1]], 1/8736], [[[1, 2], [2, 3], [3, 1], [7, 2], [9, 1]], 1/14112], [[[1, 2], [2, 3], [3, 1], [10, 2], [22, 1]], 1/13200], [[[1, 2], [2, 3], [3, 1], [11, 1], [16, 1]], 1/4224], [[[1, 2], [2, 3], [3, 1], [13, 1], [14, 1]], 1/4368], [[[1, 2], [2, 3], [3, 2], [4, 2], [13, 1]], 1/119808], [[[1, 2], [2, 3], [3, 2], [6, 2], [13, 1]], 1/33696], [[[1, 2], [2, 3], [3, 2], [6, 2], [26, 1]], 1/33696], [[[1, 2], [2, 3], [3, 2], [10, 1], [13, 1]], 1/9360], [[[1, 2], [2, 3], [4, 1], [6, 3], [18, 2]], 1/3888], [[[1, 2], [2, 3], [4, 1], [6, 3], [26, 1]], 1/44928], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 3]], 1/84000], [[[1, 2], [2, 3], [4, 1], [7, 1], [14, 2]], 1/1372], [[[1, 2], [2, 3], [4, 1], [7, 1], [26, 1]], 1/2184], [[[1, 2], [2, 3], [4, 1], [7, 2], [14, 1]], 1/2744], [[[1, 2], [2, 3], [4, 1], [8, 2], [22, 1]], 1/22528], [[[1, 2], [2, 3], [4, 1], [8, 3], [14, 1]], 1/28672], [[[1, 2], [2, 3], [4, 1], [10, 2], [22, 1]], 3/17600], [[[1, 2], [2, 3], [4, 1], [11, 1], [16, 1]], 1/2816], [[[1, 2], [2, 3], [4, 1], [13, 1], [14, 1]], 1/2912], [[[1, 2], [2, 3], [4, 1], [16, 1], [22, 1]], 1/2816], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 3]], 1/32000], [[[1, 2], [2, 3], [4, 2], [6, 2], [26, 1]], 1/39936], [[[1, 2], [2, 3], [4, 2], [7, 1], [22, 1]], 1/4928], [[[1, 2], [2, 3], [4, 2], [7, 2], [8, 1]], 1/200704], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 3]], 1/768000], [[[1, 2], [2, 3], [4, 2], [8, 1], [13, 1]], 1/26624], [[[1, 2], [2, 3], [4, 2], [8, 1], [14, 2]], 1/100352], [[[1, 2], [2, 3], [4, 2], [8, 1], [26, 1]], 1/19968], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 65/24576], [[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 1/20480], [[[1, 2], [2, 3], [4, 2], [10, 1], [14, 2]], 1/125440], [[[1, 2], [2, 3], [4, 2], [10, 1], [26, 1]], 1/16640], [[[1, 2], [2, 3], [4, 2], [11, 1], [14, 1]], 1/4928], [[[1, 2], [2, 3], [4, 2], [12, 1], [14, 2]], 1/37632], [[[1, 2], [2, 3], [4, 2], [12, 1], [26, 1]], 1/4992], [[[1, 2], [2, 3], [4, 3], [5, 1], [11, 1]], 7/2027520], [[[1, 2], [2, 3], [4, 3], [6, 1], [7, 2]], 1/903168], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 1/49152], [[[1, 2], [2, 3], [4, 3], [6, 1], [13, 1]], 1/119808], [[[1, 2], [2, 3], [4, 3], [6, 1], [26, 1]], 5/159744], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 1/57344], [[[1, 2], [2, 3], [4, 3], [8, 1], [11, 1]], 1/45056], [[[1, 2], [2, 3], [4, 3], [8, 1], [22, 1]], 1/45056], [[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 5/57344], [[[1, 2], [2, 3], [4, 3], [10, 1], [22, 1]], 13/225280], [[[1, 2], [2, 3], [4, 3], [10, 2], [14, 1]], 1/89600], [[[1, 2], [2, 3], [4, 3], [12, 1], [22, 1]], 1/8448], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 1/81920], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 2]], 1/1228800], [[[1, 2], [2, 3], [4, 4], [6, 1], [11, 1]], 1/202752], [[[1, 2], [2, 3], [4, 4], [6, 1], [22, 1]], 1/1622016], [[[1, 2], [2, 3], [4, 4], [7, 1], [14, 1]], 1/229376], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 7/49152], [[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 1/81920], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1/12288], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 1/589824], [[[1, 2], [2, 3], [4, 5], [6, 2], [18, 1]], 1/2654208], [[[1, 2], [2, 3], [4, 5], [8, 1], [14, 1]], 1/1376256], [[[1, 2], [2, 3], [4, 5], [10, 1], [14, 1]], 1/3440640], [[[1, 2], [2, 3], [5, 1], [6, 2], [26, 1]], 1/9360], [[[1, 2], [2, 3], [5, 1], [7, 1], [11, 1]], 1/12320], [[[1, 2], [2, 3], [5, 1], [8, 1], [10, 3]], 1/120000], [[[1, 2], [2, 3], [5, 1], [8, 1], [14, 2]], 1/15680], [[[1, 2], [2, 3], [5, 1], [8, 1], [26, 1]], 1/3120], [[[1, 2], [2, 3], [5, 1], [8, 2], [10, 2]], 1/25600], [[[1, 2], [2, 3], [5, 1], [10, 2], [16, 1]], 1/3200], [[[1, 2], [2, 3], [5, 1], [11, 1], [14, 1]], 1/6160], [[[1, 2], [2, 3], [5, 2], [6, 1], [11, 1]], 1/13200], [[[1, 2], [2, 3], [5, 2], [8, 1], [10, 2]], 1/4000], [[[1, 2], [2, 3], [5, 2], [10, 1], [16, 1]], 1/3200], [[[1, 2], [2, 3], [6, 1], [7, 1], [26, 1]], 1/4368], [[[1, 2], [2, 3], [6, 1], [8, 2], [22, 1]], 1/33792], [[[1, 2], [2, 3], [6, 1], [14, 1], [26, 1]], 1/2912], [[[1, 2], [2, 3], [6, 1], [14, 2], [18, 1]], 5/14112], [[[1, 2], [2, 3], [6, 1], [16, 1], [22, 1]], 1/2112], [[[1, 2], [2, 3], [6, 1], [18, 1], [26, 1]], 1/936], [[[1, 2], [2, 3], [6, 2], [8, 1], [26, 1]], 1/14976], [[[1, 2], [2, 3], [6, 2], [10, 1], [18, 2]], 1/3240], [[[1, 2], [2, 3], [6, 2], [10, 2], [16, 1]], 1/57600], [[[1, 2], [2, 3], [6, 2], [18, 1], [22, 1]], 1/2376], [[[1, 2], [2, 3], [6, 3], [14, 1], [16, 1]], 1/72576], [[[1, 2], [2, 3], [6, 3], [16, 1], [18, 1]], 1/10368], [[[1, 2], [2, 3], [7, 1], [8, 2], [14, 1]], 3/14336], [[[1, 2], [2, 3], [7, 1], [10, 1], [22, 1]], 1/6160], [[[1, 2], [2, 3], [7, 1], [14, 1], [16, 1]], 3/1792], [[[1, 2], [2, 3], [7, 2], [8, 1], [10, 1]], 1/31360], [[[1, 2], [2, 3], [8, 1], [10, 1], [13, 1]], 1/4160], [[[1, 2], [2, 3], [10, 1], [14, 1], [22, 1]], 3/12320], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 3]], 1/230400], [[[1, 2], [2, 5], [3, 1], [4, 2], [13, 1]], 17/1916928], [[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 5/301056], [[[1, 2], [2, 5], [3, 1], [4, 2], [26, 1]], 5/119808], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 5]], 1/134369280], [[[1, 2], [2, 5], [3, 1], [4, 3], [11, 1]], 1/2433024], [[[1, 2], [2, 5], [3, 1], [4, 3], [22, 1]], 1/552960], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 4]], 5/71663616], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 1/393216], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 2]], 1/1843200], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 3]], 1/10616832], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 3]], 1/180000], [[[1, 2], [2, 5], [3, 1], [5, 1], [13, 1]], 1/299520], [[[1, 2], [2, 5], [3, 1], [5, 1], [14, 2]], 1/47040], [[[1, 2], [2, 5], [3, 1], [5, 1], [26, 1]], 1/18720], [[[1, 2], [2, 5], [3, 1], [5, 2], [15, 1]], 1/115200], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 1/36000], [[[1, 2], [2, 5], [3, 1], [6, 2], [13, 1]], 1/89856], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 5/28224], [[[1, 2], [2, 5], [3, 1], [6, 2], [26, 1]], 1/1872], [[[1, 2], [2, 5], [3, 1], [6, 3], [22, 1]], 1/4752], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 2]], 1/497664], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 7/777600], [[[1, 2], [2, 5], [3, 1], [6, 4], [16, 1]], 1/62208], [[[1, 2], [2, 5], [3, 1], [6, 5], [14, 1]], 1/108864], [[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 11/139968], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 3]], 1/192000], [[[1, 2], [2, 5], [3, 1], [8, 1], [13, 1]], 7/798720], [[[1, 2], [2, 5], [3, 1], [8, 1], [14, 2]], 1/37632], [[[1, 2], [2, 5], [3, 1], [8, 1], [26, 1]], 1/9984], [[[1, 2], [2, 5], [3, 1], [10, 1], [13, 1]], 1/74880], [[[1, 2], [2, 5], [3, 1], [10, 1], [14, 2]], 1/47040], [[[1, 2], [2, 5], [3, 1], [10, 1], [26, 1]], 1/18720], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 4]], 1/4478976], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 5/5308416], [[[1, 2], [2, 5], [3, 2], [4, 4], [9, 1]], 1/3981312], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 1/648000], [[[1, 2], [2, 5], [3, 2], [6, 1], [13, 1]], 1/134784], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 1/169344], [[[1, 2], [2, 5], [3, 2], [6, 1], [26, 1]], 5/269568], [[[1, 2], [2, 5], [3, 2], [6, 2], [22, 1]], 1/57024], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 2]], 1/110592], [[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 19/777600], [[[1, 2], [2, 5], [3, 2], [6, 4], [14, 1]], 55/979776], [[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 37/139968], [[[1, 2], [2, 5], [3, 2], [10, 1], [22, 1]], 1/380160], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 31/160000], [[[1, 2], [2, 5], [4, 1], [5, 1], [14, 2]], 1/31360], [[[1, 2], [2, 5], [4, 1], [5, 1], [26, 1]], 1/8320], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 1/16000], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 2]], 1/225792], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 1/73728], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/86400], [[[1, 2], [2, 5], [4, 1], [6, 2], [13, 1]], 1/29952], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 1/112896], [[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 1/1944], [[[1, 2], [2, 5], [4, 1], [6, 2], [26, 1]], 11/59904], [[[1, 2], [2, 5], [4, 1], [6, 3], [22, 1]], 1/28512], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 1/3981312], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 1/1036800], [[[1, 2], [2, 5], [4, 1], [6, 4], [16, 1]], 1/497664], [[[1, 2], [2, 5], [4, 1], [6, 5], [7, 1]], 1/3265920], [[[1, 2], [2, 5], [4, 1], [6, 5], [14, 1]], 1/1306368], [[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 7/559872], [[[1, 2], [2, 5], [4, 1], [7, 1], [22, 1]], 1/13440], [[[1, 2], [2, 5], [4, 1], [7, 2], [10, 1]], 1/125440], [[[1, 2], [2, 5], [4, 1], [7, 2], [12, 1]], 1/225792], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 23/768000], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 67/150528], [[[1, 2], [2, 5], [4, 1], [8, 1], [26, 1]], 1/1024], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/102400], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 19/196608], [[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 1/30720], [[[1, 2], [2, 5], [4, 1], [10, 1], [13, 1]], 1/16640], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 3/15680], [[[1, 2], [2, 5], [4, 1], [10, 1], [26, 1]], 1/2080], [[[1, 2], [2, 5], [4, 1], [10, 2], [16, 1]], 1/25600], [[[1, 2], [2, 5], [4, 1], [10, 3], [12, 1]], 1/96000], [[[1, 2], [2, 5], [4, 1], [12, 1], [13, 1]], 1/29952], [[[1, 2], [2, 5], [4, 1], [12, 1], [14, 2]], 1/18816], [[[1, 2], [2, 5], [4, 1], [12, 1], [26, 1]], 1/4992], [[[1, 2], [2, 5], [4, 1], [14, 1], [22, 1]], 3/9856], [[[1, 2], [2, 5], [4, 2], [5, 1], [11, 1]], 17/2703360], [[[1, 2], [2, 5], [4, 2], [5, 1], [22, 1]], 1/28160], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 5/98304], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 1/153600], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/100352], [[[1, 2], [2, 5], [4, 2], [6, 1], [26, 1]], 43/319488], [[[1, 2], [2, 5], [4, 2], [6, 2], [11, 1]], 1/50688], [[[1, 2], [2, 5], [4, 2], [6, 2], [22, 1]], 5/101376], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 7/331776], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 17/8294400], [[[1, 2], [2, 5], [4, 2], [6, 4], [7, 1]], 1/870912], [[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 1/1161216], [[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 7/497664], [[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 11/29859840], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 1/28672], [[[1, 2], [2, 5], [4, 2], [7, 1], [10, 2]], 1/44800], [[[1, 2], [2, 5], [4, 2], [8, 1], [22, 1]], 17/40960], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 149/344064], [[[1, 2], [2, 5], [4, 2], [10, 1], [11, 1]], 1/28160], [[[1, 2], [2, 5], [4, 2], [10, 1], [22, 1]], 409/1351680], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 3/35840], [[[1, 2], [2, 5], [4, 2], [11, 1], [12, 1]], 1/50688], [[[1, 2], [2, 5], [4, 2], [12, 1], [22, 1]], 1/6336], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 1/24576], [[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 1/1843200], [[[1, 2], [2, 5], [4, 3], [6, 1], [22, 1]], 23/405504], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 11/294912], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 7/1228800], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 5/4644864], [[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 11/663552], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 1/7962624], [[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 1/4976640], [[[1, 2], [2, 5], [4, 3], [6, 4], [12, 1]], 1/1492992], [[[1, 2], [2, 5], [4, 3], [7, 1], [14, 1]], 47/1032192], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 7/245760], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 443/1966080], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1/15360], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 7/147456], [[[1, 2], [2, 5], [4, 3], [10, 2], [12, 1]], 1/38400], [[[1, 2], [2, 5], [4, 4], [5, 1], [7, 1]], 1/5160960], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 11/393216], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 1/294912], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/6193152], [[[1, 2], [2, 5], [4, 4], [6, 2], [18, 1]], 55/5308416], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 1/39813120], [[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 1/2064384], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 37/688128], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 103/6881280], [[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 1/43008], [[[1, 2], [2, 5], [4, 5], [5, 1], [10, 1]], 1/1966080], [[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 1/2064384], [[[1, 2], [2, 5], [4, 5], [6, 1], [18, 1]], 1/1327104], [[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 1/3538944], [[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 1/8847360], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 1/786432], [[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 1/11796480], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 1/11250], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 2]], 1/47040], [[[1, 2], [2, 5], [5, 1], [6, 1], [26, 1]], 1/14976], [[[1, 2], [2, 5], [5, 1], [6, 2], [11, 1]], 1/126720], [[[1, 2], [2, 5], [5, 1], [6, 2], [22, 1]], 1/15840], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 23/648000], [[[1, 2], [2, 5], [5, 1], [6, 4], [14, 1]], 1/272160], [[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 1/38880], [[[1, 2], [2, 5], [5, 1], [6, 5], [8, 1]], 1/4665600], [[[1, 2], [2, 5], [5, 1], [6, 5], [10, 1]], 1/466560], [[[1, 2], [2, 5], [5, 1], [8, 1], [11, 1]], 7/1126400], [[[1, 2], [2, 5], [5, 1], [8, 1], [22, 1]], 1/19200], [[[1, 2], [2, 5], [5, 1], [10, 1], [11, 1]], 1/105600], [[[1, 2], [2, 5], [5, 1], [10, 1], [22, 1]], 1/105600], [[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 3/11200], [[[1, 2], [2, 5], [6, 1], [7, 1], [22, 1]], 1/7392], [[[1, 2], [2, 5], [6, 1], [7, 2], [8, 1]], 1/150528], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/288000], [[[1, 2], [2, 5], [6, 1], [8, 1], [13, 1]], 1/19968], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/37632], [[[1, 2], [2, 5], [6, 1], [8, 1], [26, 1]], 77/479232], [[[1, 2], [2, 5], [6, 1], [8, 2], [10, 2]], 1/153600], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/6720], [[[1, 2], [2, 5], [6, 1], [10, 1], [26, 1]], 1/3840], [[[1, 2], [2, 5], [6, 1], [10, 2], [16, 1]], 1/14400], [[[1, 2], [2, 5], [6, 1], [10, 2], [30, 1]], 1/3840], [[[1, 2], [2, 5], [6, 1], [14, 1], [22, 1]], 1/2464], [[[1, 2], [2, 5], [6, 1], [18, 1], [22, 1]], 5/9504], [[[1, 2], [2, 5], [6, 2], [7, 1], [10, 2]], 1/100800], [[[1, 2], [2, 5], [6, 2], [8, 1], [22, 1]], 1/12672], [[[1, 2], [2, 5], [6, 2], [8, 2], [14, 1]], 1/129024], [[[1, 2], [2, 5], [6, 2], [8, 2], [18, 1]], 1/36864], [[[1, 2], [2, 5], [6, 2], [10, 1], [22, 1]], 1/11520], [[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/67200], [[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 1/7200], [[[1, 2], [2, 5], [6, 2], [14, 1], [16, 1]], 1/12096], [[[1, 2], [2, 5], [6, 2], [16, 1], [18, 1]], 7/41472], [[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 1/28224], [[[1, 2], [2, 5], [6, 3], [7, 1], [18, 1]], 1/18144], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/345600], [[[1, 2], [2, 5], [6, 3], [8, 2], [10, 1]], 1/829440], [[[1, 2], [2, 5], [6, 3], [10, 1], [16, 1]], 1/51840], [[[1, 2], [2, 5], [6, 3], [10, 1], [30, 1]], 1/11520], [[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 31/145152], [[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 1/435456], [[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/62208], [[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 1/46656], [[[1, 2], [2, 5], [8, 1], [10, 1], [22, 1]], 13/675840], [[[1, 2], [2, 5], [8, 2], [10, 1], [14, 1]], 3/143360], [[[1, 2], [2, 5], [10, 1], [14, 1], [16, 1]], 1/7680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 49/16796160], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 13/13824000], [[[1, 2], [2, 7], [3, 1], [4, 1], [13, 1]], 43/201277440], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/258048], [[[1, 2], [2, 7], [3, 1], [4, 1], [26, 1]], 1/89856], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 1/746496], [[[1, 2], [2, 7], [3, 1], [4, 2], [22, 1]], 1/270336], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 403/214990848], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 1/10368000], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 95/573308928], [[[1, 2], [2, 7], [3, 1], [4, 4], [14, 1]], 1/15482880], [[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 1/10616832], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 5]], 1/6998400], [[[1, 2], [2, 7], [3, 1], [5, 1], [11, 1]], 1/30412800], [[[1, 2], [2, 7], [3, 1], [5, 1], [22, 1]], 1/316800], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 1/51200], [[[1, 2], [2, 7], [3, 1], [6, 1], [13, 1]], 1/3594240], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 11/75264], [[[1, 2], [2, 7], [3, 1], [6, 1], [26, 1]], 49/399360], [[[1, 2], [2, 7], [3, 1], [6, 2], [22, 1]], 67/380160], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 7/1327104], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 113/1244160], [[[1, 2], [2, 7], [3, 1], [6, 3], [16, 1]], 1/165888], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 185/2612736], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 79/373248], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 7/2488320], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 121/6998400], [[[1, 2], [2, 7], [3, 1], [8, 1], [11, 1]], 1/4055040], [[[1, 2], [2, 7], [3, 1], [8, 1], [22, 1]], 13/1013760], [[[1, 2], [2, 7], [3, 1], [10, 1], [22, 1]], 17/5068800], [[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/201600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 1/559872], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/221184], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 1/11943936], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 5/42467328], [[[1, 2], [2, 7], [3, 2], [5, 1], [15, 1]], 1/8294400], [[[1, 2], [2, 7], [3, 2], [6, 1], [22, 1]], 7/2280960], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 1/884736], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 1/230400], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 445/7838208], [[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 13/373248], [[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 1/746496], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 41/699840], [[[1, 2], [2, 7], [3, 2], [7, 1], [9, 1]], 1/34836480], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 1/6220800], [[[1, 2], [2, 7], [4, 1], [5, 1], [11, 1]], 43/283852800], [[[1, 2], [2, 7], [4, 1], [5, 1], [22, 1]], 13/844800], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 2]], 1/3612672], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 11/1474560], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 241/3456000], [[[1, 2], [2, 7], [4, 1], [6, 1], [13, 1]], 1/479232], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 1/7056], [[[1, 2], [2, 7], [4, 1], [6, 1], [26, 1]], 1321/9584640], [[[1, 2], [2, 7], [4, 1], [6, 2], [22, 1]], 103/760320], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 11/995328], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 29/829440], [[[1, 2], [2, 7], [4, 1], [6, 3], [16, 1]], 1/248832], [[[1, 2], [2, 7], [4, 1], [6, 4], [7, 1]], 1/746496], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 41/2612736], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 197/2239488], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 1/233280], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 7/2332800], [[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 1/3732480], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 2]], 1/3440640], [[[1, 2], [2, 7], [4, 1], [7, 1], [10, 2]], 1/252000], [[[1, 2], [2, 7], [4, 1], [8, 1], [11, 1]], 1/2703360], [[[1, 2], [2, 7], [4, 1], [8, 1], [22, 1]], 1283/8110080], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 9/1146880], [[[1, 2], [2, 7], [4, 1], [10, 1], [22, 1]], 5011/40550400], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 29/215040], [[[1, 2], [2, 7], [4, 1], [12, 1], [22, 1]], 13/506880], [[[1, 2], [2, 7], [4, 1], [14, 1], [16, 1]], 1/215040], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 1/4976640], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 1/983040], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 211/7372800], [[[1, 2], [2, 7], [4, 2], [6, 1], [11, 1]], 1/811008], [[[1, 2], [2, 7], [4, 2], [6, 1], [22, 1]], 1583/16220160], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 703/8847360], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1073/22118400], [[[1, 2], [2, 7], [4, 2], [6, 3], [7, 1]], 1/435456], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 139/9289728], [[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 11/147456], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 581/47775744], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 59/9953280], [[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 1/746496], [[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 877/48168960], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 49/576000], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 71/5898240], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 253/2949120], [[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 7/460800], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 209/11796480], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 29/1843200], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/73728], [[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 571/26542080], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 7/995328], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 19/3317760], [[[1, 2], [2, 7], [4, 3], [6, 3], [12, 1]], 1/186624], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 3/917504], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 169/11468800], [[[1, 2], [2, 7], [4, 3], [12, 1], [14, 1]], 11/645120], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 19/44236800], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 7/884736], [[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 133/26542080], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 37/3538944], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 269/53084160], [[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 1/221184], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 37/2949120], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 1/98304], [[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 1/184320], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 11/70778880], [[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 7/35389440], [[[1, 2], [2, 7], [5, 1], [6, 1], [11, 1]], 1/5068800], [[[1, 2], [2, 7], [5, 1], [6, 1], [22, 1]], 7/633600], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 881/6912000], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 13/2177280], [[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/103680], [[[1, 2], [2, 7], [5, 1], [6, 4], [8, 1]], 7/7464960], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 313/18662400], [[[1, 2], [2, 7], [5, 1], [7, 1], [14, 1]], 1/215040], [[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 203/46080000], [[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 1/230400], [[[1, 2], [2, 7], [5, 1], [10, 1], [16, 1]], 1/460800], [[[1, 2], [2, 7], [5, 2], [8, 1], [10, 1]], 11/9216000], [[[1, 2], [2, 7], [6, 1], [7, 1], [10, 2]], 1/100800], [[[1, 2], [2, 7], [6, 1], [8, 1], [22, 1]], 79/2027520], [[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 1/129024], [[[1, 2], [2, 7], [6, 1], [8, 2], [18, 1]], 1/184320], [[[1, 2], [2, 7], [6, 1], [10, 1], [22, 1]], 347/2027520], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 19/134400], [[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1/9216], [[[1, 2], [2, 7], [6, 1], [14, 1], [16, 1]], 1/60480], [[[1, 2], [2, 7], [6, 1], [16, 1], [18, 1]], 11/1451520], [[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 31/451584], [[[1, 2], [2, 7], [6, 2], [7, 1], [18, 1]], 1/72576], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 47/3686400], [[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 1/221184], [[[1, 2], [2, 7], [6, 2], [10, 1], [16, 1]], 11/691200], [[[1, 2], [2, 7], [6, 2], [10, 1], [30, 1]], 1/36864], [[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 655/2322432], [[[1, 2], [2, 7], [6, 3], [7, 1], [10, 1]], 1/181440], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 205/13934592], [[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 23/663552], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 11/207360], [[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 107/622080], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/311040], [[[1, 2], [2, 7], [7, 1], [8, 1], [14, 1]], 9/573440], [[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 71/752640], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 971/179159040], [[[1, 2], [2, 9], [3, 1], [4, 1], [11, 1]], 1/340623360], [[[1, 2], [2, 9], [3, 1], [4, 1], [22, 1]], 23/24330240], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 13/7464960], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 1/70778880], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 1/4423680], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 70849/60197437440], [[[1, 2], [2, 9], [3, 1], [4, 3], [14, 1]], 37/11705057280], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 47/3344302080], [[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 1/1486356480], [[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 1/464486400], [[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 1/424673280], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 4]], 1/11197440], [[[1, 2], [2, 9], [3, 1], [5, 1], [10, 2]], 1/8640000], [[[1, 2], [2, 9], [3, 1], [5, 1], [15, 1]], 1/619315200], [[[1, 2], [2, 9], [3, 1], [6, 1], [22, 1]], 73/6082560], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 11/23224320], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 6161/165888000], [[[1, 2], [2, 9], [3, 1], [6, 2], [16, 1]], 1/5806080], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 8711/209018880], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 6263/209018880], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/746496], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 3649/111974400], [[[1, 2], [2, 9], [3, 1], [7, 1], [9, 1]], 1/2601123840], [[[1, 2], [2, 9], [3, 1], [7, 1], [14, 1]], 1/15482880], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 1/1536000], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 13/17915904], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 7/17694720], [[[1, 2], [2, 9], [3, 2], [4, 2], [9, 1]], 1/557383680], [[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 1/418037760], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 1/5184000], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 47/7464960], [[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 13/52254720], [[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 1/1990656], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 2231/223948800], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/5806080], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 1/3317760], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 2]], 1/51609600], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 749/184320000], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 19/86016000], [[[1, 2], [2, 9], [4, 1], [6, 1], [22, 1]], 559/24330240], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 19/10616832], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 727/14745600], [[[1, 2], [2, 9], [4, 1], [6, 2], [16, 1]], 1/3317760], [[[1, 2], [2, 9], [4, 1], [6, 3], [7, 1]], 11/45722880], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 24667/836075520], [[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 6859/167215104], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 4481/477757440], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 4709/298598400], [[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 1/1990656], [[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 9689/9103933440], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 427/24576000], [[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 437/2972712960], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 79/103219200], [[[1, 2], [2, 9], [4, 1], [10, 1], [16, 1]], 1/6451200], [[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 1/768000], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 1/2488320], [[[1, 2], [2, 9], [4, 2], [5, 1], [7, 1]], 1/722534400], [[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 1/2150400], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 3889/495452160], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 899/44236800], [[[1, 2], [2, 9], [4, 2], [6, 2], [7, 1]], 1/5806080], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 1271/61931520], [[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 6217/371589120], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 1387/104509440], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 6103/398131200], [[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 11/7464960], [[[1, 2], [2, 9], [4, 2], [7, 1], [8, 1]], 1/32112640], [[[1, 2], [2, 9], [4, 2], [7, 1], [10, 1]], 1/11289600], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 8089/650280960], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 3743/289013760], [[[1, 2], [2, 9], [4, 2], [12, 1], [14, 1]], 11/6773760], [[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 7/35389440], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 181/61931520], [[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 1/1032192], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 49/21233664], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 1021/265420800], [[[1, 2], [2, 9], [4, 3], [6, 2], [12, 1]], 1/622080], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 37/41287680], [[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 29/61931520], [[[1, 2], [2, 9], [4, 3], [10, 1], [12, 1]], 11/9676800], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 37/35389440], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 131/106168320], [[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 1/2211840], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 3131/138240000], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 1/1036800], [[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 13/14515200], [[[1, 2], [2, 9], [5, 1], [6, 3], [8, 1]], 11/65318400], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 14801/1492992000], [[[1, 2], [2, 9], [5, 1], [8, 1], [14, 1]], 37/406425600], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 19/1612800], [[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 11/3612672], [[[1, 2], [2, 9], [6, 1], [7, 1], [18, 1]], 1/5080320], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 1/384000], [[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 17/22118400], [[[1, 2], [2, 9], [6, 1], [10, 1], [16, 1]], 29/38707200], [[[1, 2], [2, 9], [6, 1], [10, 1], [30, 1]], 1/3440640], [[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 13933/650280960], [[[1, 2], [2, 9], [6, 2], [7, 1], [10, 1]], 1/1209600], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 13/2903040], [[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 113/30965760], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 1189/19353600], [[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 1243/24883200], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 167/49766400], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 19/10321920], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 14123/10032906240], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 1/247726080], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 7/165888000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 2407/13377208320], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 17/975421440], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 1723/42998169600], [[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 1/16422912000], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 109/802632499200], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 3]], 1/195955200], [[[1, 2], [2, 11], [3, 1], [5, 1], [14, 1]], 1/609638400], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 23/5573836800], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 31349/22295347200], [[[1, 2], [2, 11], [3, 1], [6, 1], [16, 1]], 1/1393459200], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 8935/3121348608], [[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 63613/100329062400], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 47/477757440], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 853/179159040], [[[1, 2], [2, 11], [3, 1], [8, 1], [14, 1]], 13/650280960], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 71/4877107200], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 67/1672151040], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/330301440], [[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 1/100329062400], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 11/1097349120], [[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 1/313528320], [[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 1/69672960], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1387/4180377600], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 1/21772800], [[[1, 2], [2, 11], [4, 1], [5, 1], [14, 1]], 13/541900800], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 59/1114767360], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 10429/2322432000], [[[1, 2], [2, 11], [4, 1], [6, 1], [16, 1]], 1/278691840], [[[1, 2], [2, 11], [4, 1], [6, 2], [7, 1]], 23/3657830400], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 29747/5852528640], [[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 84317/40131624960], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 359/209018880], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 139/23887872], [[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 1/13063680], [[[1, 2], [2, 11], [4, 1], [7, 1], [10, 1]], 1/399168000], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 15977/20808990720], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 27833/10404495360], [[[1, 2], [2, 11], [4, 1], [12, 1], [14, 1]], 13/325140480], [[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 1/33177600], [[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 1/206438400], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 79/2064384000], [[[1, 2], [2, 11], [4, 2], [6, 1], [7, 1]], 1/487710720], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 173/130056192], [[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 179/796262400], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 84341/66886041600], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 1321/530841600], [[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 29/278691840], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 105821/204374016000], [[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/123863040], [[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 37/696729600], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 1177/11147673600], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 2431/11147673600], [[[1, 2], [2, 11], [4, 3], [6, 1], [12, 1]], 37/836075520], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 11/304819200], [[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1/87091200], [[[1, 2], [2, 11], [5, 1], [6, 2], [8, 1]], 23/5225472000], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 280877/334430208000], [[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 953/72990720000], [[[1, 2], [2, 11], [6, 1], [7, 1], [10, 1]], 1/67737600], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 23/121927680], [[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 17/278691840], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 949/154828800], [[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 1829/1337720832], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 277/928972800], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 139787/2407897497600], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 1/955514880], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 137/33443020800], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/5945425920], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 17/30656102400], [[[1, 2], [2, 13], [3, 1], [4, 2], [12, 1]], 1/275904921600], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 6133/21520583884800], [[[1, 2], [2, 13], [3, 1], [5, 1], [6, 2]], 1/15676416000], [[[1, 2], [2, 13], [3, 1], [5, 1], [10, 1]], 1/47900160000], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 3091/117050572800], [[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 1/4180377600], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 11/5573836800], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 739381/5518098432000], [[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 29/76640256000], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 17/25082265600], [[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 1/16721510400], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 169/689762304000], [[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 1/870912000], [[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 1/306561024000], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 24007/8174960640000], [[[1, 2], [2, 13], [4, 1], [6, 1], [7, 1]], 79/2092278988800], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 60763/468202291200], [[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 4093/220723937280], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 177847/2942985830400], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 69569/210213273600], [[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 1/522547200], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 5083/204374016000], [[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 29/38320128000], [[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1/2786918400], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 219851/10931090227200], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 115331/1961990553600], [[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 1/821145600], [[[1, 2], [2, 13], [5, 1], [6, 1], [8, 1]], 79/2988969984000], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 62411/4598415360000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 7661/1226244096000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 6613/10434222489600], [[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1/1471492915200], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 17/919683072000], [[[1, 2], [2, 15], [3, 1], [4, 1], [12, 1]], 11/273898340352000], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 9899/382588157952000], [[[1, 2], [2, 15], [3, 1], [5, 1], [6, 1]], 1/4483454976000], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 359/38258815795200], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 80467/114776447385600], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/401316249600], [[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 1/147603456000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 116213/214249368453120], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 160961/34780741632000], [[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 1/88562073600], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 10883/6427481053593600], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 1/49152], [[[1, 3], [2, 2], [3, 1], [4, 3], [13, 1]], 5/159744], [[[1, 3], [2, 2], [3, 1], [4, 3], [14, 2]], 1/903168], [[[1, 3], [2, 2], [3, 1], [4, 3], [26, 1]], 1/119808], [[[1, 3], [2, 2], [3, 1], [4, 4], [11, 1]], 1/1622016], [[[1, 3], [2, 2], [3, 1], [4, 4], [22, 1]], 1/202752], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 1/589824], [[[1, 3], [2, 2], [3, 1], [7, 1], [13, 1]], 1/2912], [[[1, 3], [2, 2], [3, 1], [7, 2], [9, 1]], 5/14112], [[[1, 3], [2, 2], [3, 1], [8, 2], [11, 1]], 1/33792], [[[1, 3], [2, 2], [3, 1], [9, 1], [13, 1]], 1/936], [[[1, 3], [2, 2], [3, 1], [10, 2], [22, 1]], 1/13200], [[[1, 3], [2, 2], [3, 1], [11, 1], [16, 1]], 1/2112], [[[1, 3], [2, 2], [3, 1], [13, 1], [14, 1]], 1/4368], [[[1, 3], [2, 2], [3, 2], [4, 2], [13, 1]], 1/39936], [[[1, 3], [2, 2], [3, 2], [4, 5], [9, 1]], 1/2654208], [[[1, 3], [2, 2], [3, 2], [5, 1], [9, 2]], 1/3240], [[[1, 3], [2, 2], [3, 2], [5, 2], [16, 1]], 1/57600], [[[1, 3], [2, 2], [3, 2], [6, 2], [13, 1]], 1/33696], [[[1, 3], [2, 2], [3, 2], [6, 2], [26, 1]], 1/33696], [[[1, 3], [2, 2], [3, 2], [8, 1], [13, 1]], 1/14976], [[[1, 3], [2, 2], [3, 2], [9, 1], [11, 1]], 1/2376], [[[1, 3], [2, 2], [3, 2], [10, 1], [13, 1]], 1/9360], [[[1, 3], [2, 2], [3, 3], [4, 1], [9, 2]], 1/3888], [[[1, 3], [2, 2], [3, 3], [4, 1], [13, 1]], 1/44928], [[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/1944], [[[1, 3], [2, 2], [3, 3], [6, 1], [13, 1]], 1/5616], [[[1, 3], [2, 2], [3, 3], [7, 1], [16, 1]], 1/72576], [[[1, 3], [2, 2], [3, 3], [9, 1], [16, 1]], 1/10368], [[[1, 3], [2, 2], [4, 1], [5, 2], [11, 1]], 3/17600], [[[1, 3], [2, 2], [4, 1], [5, 3], [14, 1]], 1/84000], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 3]], 1/28672], [[[1, 3], [2, 2], [4, 1], [7, 1], [14, 2]], 1/2744], [[[1, 3], [2, 2], [4, 1], [7, 1], [26, 1]], 1/2912], [[[1, 3], [2, 2], [4, 1], [7, 2], [14, 1]], 1/1372], [[[1, 3], [2, 2], [4, 1], [8, 2], [11, 1]], 1/22528], [[[1, 3], [2, 2], [4, 1], [11, 1], [16, 1]], 1/2816], [[[1, 3], [2, 2], [4, 1], [13, 1], [14, 1]], 1/2184], [[[1, 3], [2, 2], [4, 1], [16, 1], [22, 1]], 1/2816], [[[1, 3], [2, 2], [4, 2], [5, 1], [7, 2]], 1/125440], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 1/20480], [[[1, 3], [2, 2], [4, 2], [5, 1], [13, 1]], 1/16640], [[[1, 3], [2, 2], [4, 2], [5, 3], [8, 1]], 1/768000], [[[1, 3], [2, 2], [4, 2], [5, 3], [10, 1]], 1/32000], [[[1, 3], [2, 2], [4, 2], [6, 2], [26, 1]], 1/119808], [[[1, 3], [2, 2], [4, 2], [7, 1], [22, 1]], 1/4928], [[[1, 3], [2, 2], [4, 2], [7, 2], [8, 1]], 1/100352], [[[1, 3], [2, 2], [4, 2], [7, 2], [12, 1]], 1/37632], [[[1, 3], [2, 2], [4, 2], [8, 1], [13, 1]], 1/19968], [[[1, 3], [2, 2], [4, 2], [8, 1], [14, 2]], 1/200704], [[[1, 3], [2, 2], [4, 2], [8, 1], [26, 1]], 1/26624], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 65/24576], [[[1, 3], [2, 2], [4, 2], [11, 1], [14, 1]], 1/4928], [[[1, 3], [2, 2], [4, 2], [12, 1], [13, 1]], 1/4992], [[[1, 3], [2, 2], [4, 3], [5, 1], [11, 1]], 13/225280], [[[1, 3], [2, 2], [4, 3], [5, 2], [7, 1]], 1/89600], [[[1, 3], [2, 2], [4, 3], [5, 3], [6, 1]], 1/3456000], [[[1, 3], [2, 2], [4, 3], [6, 1], [7, 2]], 1/451584], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 1/49152], [[[1, 3], [2, 2], [4, 3], [6, 1], [13, 1]], 1/89856], [[[1, 3], [2, 2], [4, 3], [6, 1], [26, 1]], 7/1437696], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 5/57344], [[[1, 3], [2, 2], [4, 3], [8, 1], [11, 1]], 1/45056], [[[1, 3], [2, 2], [4, 3], [8, 1], [22, 1]], 1/45056], [[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 1/57344], [[[1, 3], [2, 2], [4, 3], [10, 1], [22, 1]], 7/2027520], [[[1, 3], [2, 2], [4, 3], [11, 1], [12, 1]], 1/8448], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 1/81920], [[[1, 3], [2, 2], [4, 4], [5, 2], [10, 1]], 1/1228800], [[[1, 3], [2, 2], [4, 4], [6, 1], [11, 1]], 1/202752], [[[1, 3], [2, 2], [4, 4], [7, 1], [14, 1]], 1/229376], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 7/49152], [[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 1/81920], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1/12288], [[[1, 3], [2, 2], [4, 5], [5, 1], [7, 1]], 1/3440640], [[[1, 3], [2, 2], [4, 5], [7, 1], [8, 1]], 1/1376256], [[[1, 3], [2, 2], [5, 1], [6, 2], [26, 1]], 1/9360], [[[1, 3], [2, 2], [5, 1], [7, 1], [11, 1]], 3/12320], [[[1, 3], [2, 2], [5, 1], [8, 1], [14, 2]], 1/31360], [[[1, 3], [2, 2], [5, 1], [8, 1], [26, 1]], 1/4160], [[[1, 3], [2, 2], [5, 1], [10, 2], [16, 1]], 1/3200], [[[1, 3], [2, 2], [5, 1], [11, 1], [14, 1]], 1/6160], [[[1, 3], [2, 2], [5, 2], [6, 1], [11, 1]], 1/13200], [[[1, 3], [2, 2], [5, 2], [8, 1], [10, 2]], 1/4000], [[[1, 3], [2, 2], [5, 2], [8, 2], [10, 1]], 1/25600], [[[1, 3], [2, 2], [5, 2], [10, 1], [16, 1]], 1/3200], [[[1, 3], [2, 2], [5, 3], [8, 1], [10, 1]], 1/120000], [[[1, 3], [2, 2], [6, 1], [7, 1], [26, 1]], 1/4368], [[[1, 3], [2, 2], [6, 1], [14, 1], [26, 1]], 1/8736], [[[1, 3], [2, 2], [6, 1], [14, 2], [18, 1]], 1/14112], [[[1, 3], [2, 2], [6, 1], [16, 1], [22, 1]], 1/4224], [[[1, 3], [2, 2], [7, 1], [8, 2], [14, 1]], 3/14336], [[[1, 3], [2, 2], [7, 1], [10, 1], [22, 1]], 1/6160], [[[1, 3], [2, 2], [7, 1], [14, 1], [16, 1]], 3/1792], [[[1, 3], [2, 2], [7, 2], [8, 1], [10, 1]], 1/15680], [[[1, 3], [2, 2], [8, 1], [10, 1], [13, 1]], 1/3120], [[[1, 3], [2, 2], [10, 1], [14, 1], [22, 1]], 1/12320], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 2]], 1/602112], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 1/32768], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 3]], 1/230400], [[[1, 3], [2, 4], [3, 1], [4, 2], [13, 1]], 149/1916928], [[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 5/150528], [[[1, 3], [2, 4], [3, 1], [4, 2], [26, 1]], 5/29952], [[[1, 3], [2, 4], [3, 1], [4, 3], [11, 1]], 13/1216512], [[[1, 3], [2, 4], [3, 1], [4, 3], [22, 1]], 95/1216512], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 4]], 1/35831808], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 11/393216], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 2]], 1/921600], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 1/10616832], [[[1, 3], [2, 4], [3, 1], [4, 5], [14, 1]], 1/1032192], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 3]], 1/11250], [[[1, 3], [2, 4], [3, 1], [5, 1], [13, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [5, 1], [14, 2]], 1/23520], [[[1, 3], [2, 4], [3, 1], [5, 1], [26, 1]], 1/4680], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 1/6000], [[[1, 3], [2, 4], [3, 1], [5, 2], [15, 1]], 13/115200], [[[1, 3], [2, 4], [3, 1], [5, 3], [6, 2]], 1/72000], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 2]], 1/169344], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 1/216000], [[[1, 3], [2, 4], [3, 1], [6, 2], [13, 1]], 7/89856], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/7056], [[[1, 3], [2, 4], [3, 1], [6, 2], [26, 1]], 1/1872], [[[1, 3], [2, 4], [3, 1], [6, 3], [22, 1]], 1/9504], [[[1, 3], [2, 4], [3, 1], [6, 4], [16, 1]], 1/62208], [[[1, 3], [2, 4], [3, 1], [7, 1], [11, 1]], 1/14784], [[[1, 3], [2, 4], [3, 1], [7, 2], [10, 1]], 1/47040], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 3]], 1/192000], [[[1, 3], [2, 4], [3, 1], [8, 1], [13, 1]], 1/26624], [[[1, 3], [2, 4], [3, 1], [8, 1], [14, 2]], 1/25088], [[[1, 3], [2, 4], [3, 1], [8, 1], [26, 1]], 1/4992], [[[1, 3], [2, 4], [3, 1], [10, 1], [13, 1]], 19/74880], [[[1, 3], [2, 4], [3, 1], [10, 1], [14, 2]], 1/23520], [[[1, 3], [2, 4], [3, 1], [10, 1], [26, 1]], 1/4680], [[[1, 3], [2, 4], [3, 1], [11, 1], [14, 1]], 1/7392], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 3]], 1/864000], [[[1, 3], [2, 4], [3, 2], [4, 1], [13, 1]], 7/179712], [[[1, 3], [2, 4], [3, 2], [4, 1], [14, 2]], 1/225792], [[[1, 3], [2, 4], [3, 2], [4, 1], [26, 1]], 1/89856], [[[1, 3], [2, 4], [3, 2], [4, 2], [11, 1]], 1/202752], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 1/33177600], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 4]], 1/4478976], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/98304], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 23/15925248], [[[1, 3], [2, 4], [3, 2], [4, 4], [9, 1]], 7/3981312], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/3538944], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 3]], 1/259200], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 2]], 1/28224], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/64800], [[[1, 3], [2, 4], [3, 2], [6, 1], [13, 1]], 1/8424], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/84672], [[[1, 3], [2, 4], [3, 2], [6, 1], [26, 1]], 23/269568], [[[1, 3], [2, 4], [3, 2], [6, 2], [11, 1]], 1/57024], [[[1, 3], [2, 4], [3, 2], [6, 2], [22, 1]], 1/28512], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 2]], 1/110592], [[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 19/777600], [[[1, 3], [2, 4], [3, 2], [6, 3], [16, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [6, 4], [14, 1]], 55/979776], [[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 37/139968], [[[1, 3], [2, 4], [3, 2], [9, 1], [16, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [10, 1], [11, 1]], 1/15840], [[[1, 3], [2, 4], [3, 2], [10, 1], [22, 1]], 7/380160], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 1/497664], [[[1, 3], [2, 4], [3, 3], [4, 3], [7, 1]], 1/41803776], [[[1, 3], [2, 4], [3, 3], [4, 3], [9, 1]], 19/5971968], [[[1, 3], [2, 4], [3, 3], [4, 4], [6, 2]], 1/1990656], [[[1, 3], [2, 4], [3, 3], [5, 1], [10, 2]], 1/43200], [[[1, 3], [2, 4], [3, 3], [6, 2], [10, 2]], 1/259200], [[[1, 3], [2, 4], [3, 3], [6, 2], [16, 1]], 1/13824], [[[1, 3], [2, 4], [3, 3], [6, 3], [7, 1]], 1/108864], [[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/46656], [[[1, 3], [2, 4], [3, 3], [6, 3], [14, 1]], 1/108864], [[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 1/46656], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 2]], 1/31360], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 31/160000], [[[1, 3], [2, 4], [4, 1], [5, 1], [14, 2]], 3/62720], [[[1, 3], [2, 4], [4, 1], [5, 1], [26, 1]], 1/4160], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 3/16000], [[[1, 3], [2, 4], [4, 1], [5, 2], [16, 1]], 1/25600], [[[1, 3], [2, 4], [4, 1], [5, 3], [6, 2]], 1/864000], [[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 1/480000], [[[1, 3], [2, 4], [4, 1], [5, 3], [12, 1]], 1/864000], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 2]], 1/112896], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 1/147456], [[[1, 3], [2, 4], [4, 1], [6, 2], [13, 1]], 1/22464], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 1/225792], [[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 1/2592], [[[1, 3], [2, 4], [4, 1], [6, 2], [26, 1]], 31/179712], [[[1, 3], [2, 4], [4, 1], [6, 3], [22, 1]], 1/76032], [[[1, 3], [2, 4], [4, 1], [6, 4], [16, 1]], 1/497664], [[[1, 3], [2, 4], [4, 1], [7, 1], [11, 1]], 1/9856], [[[1, 3], [2, 4], [4, 1], [7, 1], [22, 1]], 1/2688], [[[1, 3], [2, 4], [4, 1], [7, 2], [8, 1]], 3/28672], [[[1, 3], [2, 4], [4, 1], [7, 2], [10, 1]], 1/31360], [[[1, 3], [2, 4], [4, 1], [7, 2], [12, 1]], 1/28224], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 1/153600], [[[1, 3], [2, 4], [4, 1], [8, 1], [13, 1]], 5/26624], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 19/50176], [[[1, 3], [2, 4], [4, 1], [8, 1], [26, 1]], 37/39936], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/204800], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 13/65536], [[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 1/40960], [[[1, 3], [2, 4], [4, 1], [10, 1], [13, 1]], 1/4992], [[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 9/62720], [[[1, 3], [2, 4], [4, 1], [10, 1], [26, 1]], 3/8320], [[[1, 3], [2, 4], [4, 1], [10, 2], [16, 1]], 1/12800], [[[1, 3], [2, 4], [4, 1], [10, 3], [12, 1]], 7/864000], [[[1, 3], [2, 4], [4, 1], [11, 1], [14, 1]], 3/9856], [[[1, 3], [2, 4], [4, 1], [12, 1], [13, 1]], 11/44928], [[[1, 3], [2, 4], [4, 1], [12, 1], [14, 2]], 1/14112], [[[1, 3], [2, 4], [4, 1], [12, 1], [26, 1]], 17/44928], [[[1, 3], [2, 4], [4, 1], [14, 1], [22, 1]], 3/9856], [[[1, 3], [2, 4], [4, 2], [5, 1], [11, 1]], 25/540672], [[[1, 3], [2, 4], [4, 2], [5, 1], [22, 1]], 3/28160], [[[1, 3], [2, 4], [4, 2], [5, 2], [14, 1]], 1/44800], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 2]], 5/301056], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 7/98304], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/2304000], [[[1, 3], [2, 4], [4, 2], [6, 1], [13, 1]], 5/39936], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 1/150528], [[[1, 3], [2, 4], [4, 2], [6, 1], [26, 1]], 173/958464], [[[1, 3], [2, 4], [4, 2], [6, 2], [11, 1]], 1/50688], [[[1, 3], [2, 4], [4, 2], [6, 2], [22, 1]], 1/25344], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/82944], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 1/2764800], [[[1, 3], [2, 4], [4, 2], [6, 4], [7, 1]], 1/870912], [[[1, 3], [2, 4], [4, 2], [6, 4], [14, 1]], 1/3483648], [[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 5/497664], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 11/57344], [[[1, 3], [2, 4], [4, 2], [7, 1], [10, 2]], 1/22400], [[[1, 3], [2, 4], [4, 2], [7, 1], [16, 1]], 1/14336], [[[1, 3], [2, 4], [4, 2], [8, 1], [11, 1]], 1/8192], [[[1, 3], [2, 4], [4, 2], [8, 1], [22, 1]], 13/24576], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 67/114688], [[[1, 3], [2, 4], [4, 2], [10, 1], [11, 1]], 3/28160], [[[1, 3], [2, 4], [4, 2], [10, 1], [22, 1]], 89/270336], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 13/179200], [[[1, 3], [2, 4], [4, 2], [11, 1], [12, 1]], 7/50688], [[[1, 3], [2, 4], [4, 2], [12, 1], [22, 1]], 1/4224], [[[1, 3], [2, 4], [4, 2], [14, 1], [16, 1]], 1/14336], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 13/204800], [[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 1/409600], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 43/1843200], [[[1, 3], [2, 4], [4, 3], [6, 1], [11, 1]], 31/405504], [[[1, 3], [2, 4], [4, 3], [6, 1], [22, 1]], 53/1216512], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/24576], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 7/33177600], [[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 1/5971968], [[[1, 3], [2, 4], [4, 3], [6, 3], [18, 1]], 61/5971968], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/7962624], [[[1, 3], [2, 4], [4, 3], [7, 1], [14, 1]], 191/903168], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 1/40960], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 119/196608], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 37/245760], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1/12288], [[[1, 3], [2, 4], [4, 3], [10, 2], [12, 1]], 1/76800], [[[1, 3], [2, 4], [4, 4], [5, 1], [7, 1]], 1/737280], [[[1, 3], [2, 4], [4, 4], [5, 2], [6, 1]], 1/1843200], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 7/131072], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 1/307200], [[[1, 3], [2, 4], [4, 4], [6, 2], [18, 1]], 61/5308416], [[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 1/129024], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 1/16384], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 109/6881280], [[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 1/43008], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1/163840], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1/655360], [[[1, 3], [2, 4], [4, 5], [6, 1], [7, 1]], 1/1032192], [[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 1/4128768], [[[1, 3], [2, 4], [4, 5], [6, 1], [18, 1]], 1/1769472], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 1/7077888], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 13/1966080], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1/24576], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 1/786432], [[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 1/11796480], [[[1, 3], [2, 4], [5, 1], [6, 1], [7, 2]], 1/47040], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 1/180000], [[[1, 3], [2, 4], [5, 1], [6, 1], [13, 1]], 1/6240], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 2]], 1/23520], [[[1, 3], [2, 4], [5, 1], [6, 1], [26, 1]], 23/74880], [[[1, 3], [2, 4], [5, 1], [6, 2], [11, 1]], 1/42240], [[[1, 3], [2, 4], [5, 1], [6, 2], [22, 1]], 1/7920], [[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 1/216000], [[[1, 3], [2, 4], [5, 1], [6, 4], [14, 1]], 1/272160], [[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 1/38880], [[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/5600], [[[1, 3], [2, 4], [5, 1], [7, 1], [16, 1]], 1/17920], [[[1, 3], [2, 4], [5, 1], [8, 1], [11, 1]], 3/112640], [[[1, 3], [2, 4], [5, 1], [8, 1], [22, 1]], 1/8448], [[[1, 3], [2, 4], [5, 1], [10, 1], [11, 1]], 7/105600], [[[1, 3], [2, 4], [5, 1], [10, 1], [22, 1]], 7/105600], [[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 3/11200], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 1/6000], [[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 1/43200], [[[1, 3], [2, 4], [5, 2], [7, 1], [10, 1]], 1/11200], [[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/5600], [[[1, 3], [2, 4], [5, 3], [6, 1], [8, 1]], 1/576000], [[[1, 3], [2, 4], [5, 3], [6, 1], [10, 1]], 1/12000], [[[1, 3], [2, 4], [6, 1], [7, 1], [22, 1]], 1/3696], [[[1, 3], [2, 4], [6, 1], [7, 2], [8, 1]], 1/37632], [[[1, 3], [2, 4], [6, 1], [7, 2], [10, 1]], 1/47040], [[[1, 3], [2, 4], [6, 1], [8, 1], [13, 1]], 5/29952], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/75264], [[[1, 3], [2, 4], [6, 1], [8, 1], [26, 1]], 37/239616], [[[1, 3], [2, 4], [6, 1], [10, 1], [13, 1]], 1/6240], [[[1, 3], [2, 4], [6, 1], [10, 1], [14, 2]], 1/23520], [[[1, 3], [2, 4], [6, 1], [10, 1], [26, 1]], 1/9984], [[[1, 3], [2, 4], [6, 1], [10, 2], [16, 1]], 1/19200], [[[1, 3], [2, 4], [6, 1], [10, 2], [30, 1]], 1/3840], [[[1, 3], [2, 4], [6, 1], [14, 1], [22, 1]], 1/3696], [[[1, 3], [2, 4], [6, 1], [18, 1], [22, 1]], 1/3168], [[[1, 3], [2, 4], [6, 2], [7, 1], [10, 2]], 1/100800], [[[1, 3], [2, 4], [6, 2], [8, 1], [22, 1]], 1/25344], [[[1, 3], [2, 4], [6, 2], [8, 2], [18, 1]], 1/110592], [[[1, 3], [2, 4], [6, 2], [10, 1], [22, 1]], 1/126720], [[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/201600], [[[1, 3], [2, 4], [6, 2], [14, 1], [16, 1]], 1/16128], [[[1, 3], [2, 4], [6, 2], [16, 1], [18, 1]], 1/4608], [[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 11/508032], [[[1, 3], [2, 4], [6, 3], [7, 1], [18, 1]], 1/18144], [[[1, 3], [2, 4], [6, 3], [10, 1], [16, 1]], 1/103680], [[[1, 3], [2, 4], [6, 3], [10, 1], [30, 1]], 1/34560], [[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 5/145152], [[[1, 3], [2, 4], [8, 1], [10, 1], [11, 1]], 1/14080], [[[1, 3], [2, 4], [8, 1], [10, 1], [22, 1]], 13/337920], [[[1, 3], [2, 4], [8, 2], [10, 1], [14, 1]], 1/143360], [[[1, 3], [2, 4], [10, 1], [14, 1], [16, 1]], 3/17920], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 1/349920], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 37/2304000], [[[1, 3], [2, 6], [3, 1], [4, 1], [13, 1]], 43/9584640], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 13/516096], [[[1, 3], [2, 6], [3, 1], [4, 1], [26, 1]], 1/12288], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/248832], [[[1, 3], [2, 6], [3, 1], [4, 2], [11, 1]], 17/3244032], [[[1, 3], [2, 6], [3, 1], [4, 2], [22, 1]], 35/811008], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 95/23887872], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 29/2359296], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 47/5529600], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 1613/573308928], [[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 1/6193152], [[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 1/2654208], [[[1, 3], [2, 6], [3, 1], [4, 4], [14, 1]], 11/15482880], [[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1/17694720], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 1/884736], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 13/7077888], [[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 1/4423680], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 1/9437184], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 31/6998400], [[[1, 3], [2, 6], [3, 1], [5, 1], [11, 1]], 91/30412800], [[[1, 3], [2, 6], [3, 1], [5, 1], [22, 1]], 1/28800], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/691200], [[[1, 3], [2, 6], [3, 1], [5, 2], [9, 1]], 1/691200], [[[1, 3], [2, 6], [3, 1], [5, 3], [6, 1]], 1/2304000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 2]], 1/677376], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 157/3456000], [[[1, 3], [2, 6], [3, 1], [6, 1], [13, 1]], 61/3594240], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 17/56448], [[[1, 3], [2, 6], [3, 1], [6, 1], [26, 1]], 487/1198080], [[[1, 3], [2, 6], [3, 1], [6, 2], [11, 1]], 1/152064], [[[1, 3], [2, 6], [3, 1], [6, 2], [22, 1]], 5/12672], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 1/147456], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 419/6220800], [[[1, 3], [2, 6], [3, 1], [6, 3], [16, 1]], 7/165888], [[[1, 3], [2, 6], [3, 1], [6, 4], [7, 1]], 1/108864], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 19/290304], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 35/124416], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 7/2488320], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 23/3499200], [[[1, 3], [2, 6], [3, 1], [8, 1], [11, 1]], 1/184320], [[[1, 3], [2, 6], [3, 1], [8, 1], [22, 1]], 1/21120], [[[1, 3], [2, 6], [3, 1], [10, 1], [11, 1]], 1/126720], [[[1, 3], [2, 6], [3, 1], [10, 1], [22, 1]], 197/5068800], [[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/28800], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 161/5598720], [[[1, 3], [2, 6], [3, 2], [4, 1], [22, 1]], 1/253440], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 89/5971968], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 437/23887872], [[[1, 3], [2, 6], [3, 2], [4, 3], [9, 1]], 53/15925248], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 169/127401984], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 1/10616832], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 4]], 1/233280], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/172800], [[[1, 3], [2, 6], [3, 2], [5, 1], [15, 1]], 31/8294400], [[[1, 3], [2, 6], [3, 2], [5, 2], [6, 2]], 1/1036800], [[[1, 3], [2, 6], [3, 2], [5, 2], [8, 1]], 1/55296000], [[[1, 3], [2, 6], [3, 2], [5, 2], [10, 1]], 1/1382400], [[[1, 3], [2, 6], [3, 2], [6, 1], [11, 1]], 1/228096], [[[1, 3], [2, 6], [3, 2], [6, 1], [22, 1]], 31/1140480], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 7/884736], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 109/2073600], [[[1, 3], [2, 6], [3, 2], [6, 2], [16, 1]], 1/27648], [[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/290304], [[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/124416], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 1837/7838208], [[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 97/373248], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/62208], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 143/1399680], [[[1, 3], [2, 6], [3, 2], [7, 1], [9, 1]], 31/34836480], [[[1, 3], [2, 6], [3, 2], [7, 1], [14, 1]], 1/193536], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/62208], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 5/248832], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 11/7962624], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/15925248], [[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 1/2073600], [[[1, 3], [2, 6], [3, 3], [6, 2], [7, 1]], 1/435456], [[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 1/186624], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 5/870912], [[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 1/373248], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 1/82944], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/155520], [[[1, 3], [2, 6], [3, 3], [7, 1], [8, 1]], 1/69672960], [[[1, 3], [2, 6], [3, 3], [8, 1], [9, 1]], 1/9953280], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 13/18662400], [[[1, 3], [2, 6], [4, 1], [5, 1], [11, 1]], 83/13516800], [[[1, 3], [2, 6], [4, 1], [5, 1], [22, 1]], 29/422400], [[[1, 3], [2, 6], [4, 1], [5, 2], [7, 1]], 1/1075200], [[[1, 3], [2, 6], [4, 1], [5, 3], [6, 1]], 1/13824000], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 2]], 1/258048], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 5/294912], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 169/3456000], [[[1, 3], [2, 6], [4, 1], [6, 1], [13, 1]], 5/179712], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 97/451584], [[[1, 3], [2, 6], [4, 1], [6, 1], [26, 1]], 143/442368], [[[1, 3], [2, 6], [4, 1], [6, 2], [11, 1]], 1/50688], [[[1, 3], [2, 6], [4, 1], [6, 2], [22, 1]], 1/4752], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 13/663552], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 13/829440], [[[1, 3], [2, 6], [4, 1], [6, 3], [16, 1]], 1/62208], [[[1, 3], [2, 6], [4, 1], [6, 4], [7, 1]], 5/1741824], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 1/81648], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 7/82944], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/497664], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 1/1866240], [[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 7/33592320], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 1/163840], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 2]], 1/26880], [[[1, 3], [2, 6], [4, 1], [8, 1], [11, 1]], 7/901120], [[[1, 3], [2, 6], [4, 1], [8, 1], [22, 1]], 217/540672], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 23/688128], [[[1, 3], [2, 6], [4, 1], [10, 1], [11, 1]], 1/33792], [[[1, 3], [2, 6], [4, 1], [10, 1], [22, 1]], 2419/8110080], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 1/5120], [[[1, 3], [2, 6], [4, 1], [11, 1], [12, 1]], 1/101376], [[[1, 3], [2, 6], [4, 1], [12, 1], [22, 1]], 71/760320], [[[1, 3], [2, 6], [4, 1], [14, 1], [16, 1]], 11/215040], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 1/1658880], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 7/327680], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 1781/6144000], [[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 1/460800], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 373/12288000], [[[1, 3], [2, 6], [4, 2], [5, 2], [12, 1]], 1/460800], [[[1, 3], [2, 6], [4, 2], [6, 1], [11, 1]], 13/811008], [[[1, 3], [2, 6], [4, 2], [6, 1], [22, 1]], 101/368640], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 187/884736], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 5/98304], [[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 1/73728], [[[1, 3], [2, 6], [4, 2], [6, 3], [7, 1]], 1/108864], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 589/27869184], [[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 215/1327104], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 241/15925248], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 53/9953280], [[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 1/746496], [[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 813/3211264], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 53/204800], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 1133/5898240], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 77/196608], [[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 1/61440], [[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 1/28800], [[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 53/20643840], [[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 1/143360], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 1627/5898240], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 319/8294400], [[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 1/86016], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 41/1990656], [[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 2131/23887872], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 91/3981312], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 197/29859840], [[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 1/248832], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 97/2752512], [[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 1/61440], [[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 1/258048], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1577/6881280], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 397/4423680], [[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 13/258048], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 1/2949120], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 1/61440], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 1/55296], [[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 109/5308416], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 29/1179648], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 29/3538944], [[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 1/110592], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 13/245760], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 7/98304], [[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 1/46080], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 371/14155776], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 1/262144], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 5/884736], [[[1, 3], [2, 6], [5, 1], [6, 1], [11, 1]], 7/1689600], [[[1, 3], [2, 6], [5, 1], [6, 1], [22, 1]], 31/316800], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 161/1152000], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 11/435456], [[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 7/103680], [[[1, 3], [2, 6], [5, 1], [6, 4], [8, 1]], 1/829440], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 13/691200], [[[1, 3], [2, 6], [5, 1], [7, 1], [14, 1]], 3/35840], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 137/3072000], [[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 1/61440], [[[1, 3], [2, 6], [5, 1], [10, 1], [16, 1]], 31/460800], [[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/28800], [[[1, 3], [2, 6], [5, 2], [8, 1], [10, 1]], 191/9216000], [[[1, 3], [2, 6], [6, 1], [7, 1], [10, 2]], 1/25200], [[[1, 3], [2, 6], [6, 1], [8, 1], [11, 1]], 1/67584], [[[1, 3], [2, 6], [6, 1], [8, 1], [22, 1]], 79/811008], [[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 1/129024], [[[1, 3], [2, 6], [6, 1], [8, 2], [18, 1]], 1/110592], [[[1, 3], [2, 6], [6, 1], [10, 1], [22, 1]], 41/225280], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 41/403200], [[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 23/172800], [[[1, 3], [2, 6], [6, 1], [14, 1], [16, 1]], 1/16128], [[[1, 3], [2, 6], [6, 1], [16, 1], [18, 1]], 1/23040], [[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 65/338688], [[[1, 3], [2, 6], [6, 2], [7, 1], [18, 1]], 1/10368], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 61/5529600], [[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 1/368640], [[[1, 3], [2, 6], [6, 2], [10, 1], [16, 1]], 1/27648], [[[1, 3], [2, 6], [6, 2], [10, 1], [30, 1]], 11/184320], [[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 737/2322432], [[[1, 3], [2, 6], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 85/6967296], [[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 49/995328], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 29/1451520], [[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 7/69120], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/622080], [[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 181/1720320], [[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 13/30720], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 691/29859840], [[[1, 3], [2, 8], [3, 1], [4, 1], [11, 1]], 29/170311680], [[[1, 3], [2, 8], [3, 1], [4, 1], [22, 1]], 229/24330240], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 361/15925248], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 163/70778880], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 37/11059200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 11731/955514880], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 1621/1300561920], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 817/238878720], [[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 29/1486356480], [[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 11/232243200], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1/7864320], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 31/11197440], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 61/23040000], [[[1, 3], [2, 8], [3, 1], [5, 1], [15, 1]], 19/206438400], [[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 1/27648000], [[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 17/27648000], [[[1, 3], [2, 8], [3, 1], [6, 1], [11, 1]], 1/6082560], [[[1, 3], [2, 8], [3, 1], [6, 1], [22, 1]], 5/67584], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 1/368640], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 18611/165888000], [[[1, 3], [2, 8], [3, 1], [6, 2], [16, 1]], 11/2903040], [[[1, 3], [2, 8], [3, 1], [6, 3], [7, 1]], 1/290304], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 9119/69672960], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 301/1990656], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 35/3981312], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 43/699840], [[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 19/867041280], [[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 19/7741440], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 31/9216000], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 1/4644864000], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 661/17915904], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1/17694720], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/2592000], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 1583/159252480], [[[1, 3], [2, 8], [3, 2], [4, 2], [9, 1]], 43/557383680], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 12889/6688604160], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 1/79626240], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 1/622080], [[[1, 3], [2, 8], [3, 2], [5, 1], [9, 1]], 1/49766400], [[[1, 3], [2, 8], [3, 2], [5, 2], [6, 1]], 1/165888000], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 11/3317760], [[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 1/11612160], [[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 1/4976640], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 961/14929920], [[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 383/104509440], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 23/2654208], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 20791/223948800], [[[1, 3], [2, 8], [3, 2], [8, 1], [9, 1]], 1/13271040], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 13/5806080], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 5/1990656], [[[1, 3], [2, 8], [3, 3], [4, 1], [7, 1]], 1/5852528640], [[[1, 3], [2, 8], [3, 3], [4, 1], [9, 1]], 1/55738368], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 1/7962624], [[[1, 3], [2, 8], [3, 3], [5, 1], [10, 1]], 1/99532800], [[[1, 3], [2, 8], [3, 3], [6, 1], [7, 1]], 1/69672960], [[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 1/29859840], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 1/1741824], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 11/13271040], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 7/6220800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 29/14929920], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 79/103219200], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 12239/184320000], [[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 1/24576000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1471/258048000], [[[1, 3], [2, 8], [4, 1], [6, 1], [11, 1]], 7/8110080], [[[1, 3], [2, 8], [4, 1], [6, 1], [22, 1]], 1267/12165120], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 143/8847360], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 271/2949120], [[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1/207360], [[[1, 3], [2, 8], [4, 1], [6, 3], [7, 1]], 1/272160], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 10723/167215104], [[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 5371/39813120], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 1817/95551488], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 121/5971968], [[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 35/26873856], [[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 12643/505774080], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 533/7372800], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 151/49545216], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 29/3686400], [[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 11/3225600], [[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 277/41472000], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 1/414720], [[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 43/722534400], [[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 13/2150400], [[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 1/7372800], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 6157/70778880], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 1921/18432000], [[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 1/737280], [[[1, 3], [2, 8], [4, 2], [6, 2], [7, 1]], 1/362880], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 2059/23224320], [[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 44231/371589120], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 331/4976640], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 1591/33177600], [[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 1/186624], [[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 37/36126720], [[[1, 3], [2, 8], [4, 2], [7, 1], [10, 1]], 11/5644800], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 2917/24084480], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 20683/206438400], [[[1, 3], [2, 8], [4, 2], [12, 1], [14, 1]], 13/967680], [[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 1/737280], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 1/393216], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 1681/176947200], [[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 1/983040], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 8875/222953472], [[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 10739/477757440], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 12397/212336640], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 13867/398131200], [[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 11/1327104], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 4681/82575360], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 47/4423680], [[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 17/1843200], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 293/23592960], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 59/6553600], [[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 11/2211840], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 4627/46080000], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 41/3628800], [[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 181/14515200], [[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 1/1036800], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 671/18432000], [[[1, 3], [2, 8], [5, 1], [7, 1], [8, 1]], 1/17203200], [[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 1/806400], [[[1, 3], [2, 8], [5, 1], [8, 1], [14, 1]], 23/22579200], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 53/806400], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 17/4608000], [[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 187/5419008], [[[1, 3], [2, 8], [6, 1], [7, 1], [18, 1]], 11/2540160], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 113/11059200], [[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 1/491520], [[[1, 3], [2, 8], [6, 1], [10, 1], [16, 1]], 17/2764800], [[[1, 3], [2, 8], [6, 1], [10, 1], [30, 1]], 73/30965760], [[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 42989/650280960], [[[1, 3], [2, 8], [6, 2], [7, 1], [10, 1]], 11/1209600], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 23/1327104], [[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 823/39813120], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 1753/19353600], [[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 187/1658880], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 53/6635520], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 107/10321920], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 50983/3344302080], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 31/247726080], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 53/96768000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 12449/1486356480], [[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 1/867041280], [[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 1/371589120], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 817/1950842880], [[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 1/2477260800], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 391/318504960], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 89/990904320], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 47/522547200], [[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 1/185794560], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 4811/64210599936], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 563/1567641600], [[[1, 3], [2, 10], [3, 1], [5, 1], [9, 1]], 1/3715891200], [[[1, 3], [2, 10], [3, 1], [5, 1], [14, 1]], 37/609638400], [[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/12386304000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 1/16515072], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 103127/9289728000], [[[1, 3], [2, 10], [3, 1], [6, 1], [16, 1]], 23/696729600], [[[1, 3], [2, 10], [3, 1], [6, 2], [7, 1]], 1/10160640], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 29093/1300561920], [[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 3817/557383680], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 239/159252480], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 183761/6270566400], [[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 163/650280960], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1997/4877107200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 8923/2006581248], [[[1, 3], [2, 10], [3, 2], [4, 1], [9, 1]], 1/891813888], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 127/2926264320], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 3161/8918138880], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/1486356480], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 23/50164531200], [[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 1/21772800], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 451/22295347200], [[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/5202247680], [[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/2229534720], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 1187/4389396480], [[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 1/11197440], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 13/30965760], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 25757/4180377600], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 43/1114767360], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 1/2229534720], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/24883200], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 283/522547200], [[[1, 3], [2, 10], [4, 1], [5, 1], [7, 1]], 1/1156055040], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 247/541900800], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 53/49545216], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 191/6912000], [[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 37/278691840], [[[1, 3], [2, 10], [4, 1], [6, 2], [7, 1]], 43/162570240], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 7087/243855360], [[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 3977/222953472], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 283/26127360], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 31/1244160], [[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 73/134369280], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 13/462422016], [[[1, 3], [2, 10], [4, 1], [7, 1], [10, 1]], 11/81285120], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 41053/5202247680], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 18043/867041280], [[[1, 3], [2, 10], [4, 1], [12, 1], [14, 1]], 293/585252864], [[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 1/1843200], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 13/82575360], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 39/28672000], [[[1, 3], [2, 10], [4, 2], [6, 1], [7, 1]], 37/487710720], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 7031/390168576], [[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 1003/222953472], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 6731/371589120], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 19177/743178240], [[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 1/829440], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 19073/1857945600], [[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 31/123863040], [[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 1/1209600], [[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 1/7372800], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 7757/1274019840], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 21583/3185049600], [[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 67/92897280], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 499/609638400], [[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 1/3110400], [[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 1/15482880], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 7673/1032192000], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 3559/9289728000], [[[1, 3], [2, 10], [6, 1], [7, 1], [10, 1]], 29/67737600], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 1207/650280960], [[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 101/139345920], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 26959/1083801600], [[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 3557/464486400], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 307/132710400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 1146161/802632499200], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 1/43545600], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 7447/22295347200], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 47/5945425920], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 589/30656102400], [[[1, 3], [2, 12], [3, 1], [4, 2], [12, 1]], 67/275904921600], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 53129/2942985830400], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 139/15676416000], [[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 293/109486080000], [[[1, 3], [2, 12], [3, 1], [6, 1], [7, 1]], 1/2438553600], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 7537/17340825600], [[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 1/99532800], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 143/2786918400], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 1732627/1003290624000], [[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 193/25546752000], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 2831/32105299968], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 1/2229534720], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 331/229920768000], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 11/3344302080], [[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 1/5225472000], [[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 1/348364800], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 821/68976230400], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 307/10450944000], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 281/153280512000], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 878597/8174960640000], [[[1, 3], [2, 12], [4, 1], [6, 1], [7, 1]], 167/53648179200], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 314443/187280916480], [[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 2699/8918138880], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 31/37748736], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 4565/1337720832], [[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 1151/37623398400], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 8681/21799895040], [[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 31/2052864000], [[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 13/928972800], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 1226431/1961990553600], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 13938391/9809952768000], [[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 13/418037760], [[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 19/25546752000], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 165827/681246720000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 263/2786918400], [[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 1/459841536000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 105269/3825881579520], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 79/980995276800], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 3/5046272000], [[[1, 3], [2, 14], [3, 1], [4, 1], [12, 1]], 31/16738231910400], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 41299/14574786969600], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 149/3586763980800], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 2441/6376469299200], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 1343039/81983176704000], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 5119/28694111846400], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 1919/5977939968000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 2010269/153035263180800], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 2589493/29429858304000], [[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 893/2690072985600], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 5437/47823519744000], [[[1, 3], [3, 1], [4, 2], [5, 1], [13, 1]], 1/24960], [[[1, 3], [3, 1], [4, 2], [5, 2], [15, 1]], 1/9600], [[[1, 3], [3, 1], [4, 2], [12, 1], [13, 1]], 1/7488], [[[1, 3], [3, 1], [4, 4], [5, 1], [15, 1]], 1/368640], [[[1, 3], [3, 1], [4, 4], [7, 1], [9, 1]], 1/1548288], [[[1, 3], [3, 1], [4, 4], [8, 1], [16, 1]], 1/73728], [[[1, 3], [3, 1], [5, 1], [8, 2], [15, 1]], 1/7680], [[[1, 3], [3, 1], [5, 1], [9, 1], [11, 1]], 1/1980], [[[1, 3], [3, 1], [7, 1], [8, 2], [9, 1]], 1/32256], [[[1, 3], [3, 2], [4, 1], [8, 1], [13, 1]], 1/14976], [[[1, 3], [3, 2], [5, 1], [9, 1], [15, 1]], 1/540], [[[1, 3], [4, 1], [5, 1], [8, 2], [16, 1]], 1/2560], [[[1, 3], [4, 2], [5, 1], [11, 1], [12, 1]], 1/10560], [[[1, 3], [4, 2], [7, 1], [8, 1], [16, 1]], 1/1792], [[[1, 4], [2, 1], [3, 1], [4, 3], [13, 1]], 1/36864], [[[1, 4], [2, 1], [3, 1], [4, 4], [11, 1]], 1/811008], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 1/589824], [[[1, 4], [2, 1], [3, 1], [5, 2], [11, 1]], 1/13200], [[[1, 4], [2, 1], [3, 1], [5, 3], [9, 1]], 1/27000], [[[1, 4], [2, 1], [3, 1], [7, 1], [13, 1]], 1/2912], [[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/2016], [[[1, 4], [2, 1], [3, 1], [8, 2], [11, 1]], 1/16896], [[[1, 4], [2, 1], [3, 1], [9, 1], [13, 1]], 1/702], [[[1, 4], [2, 1], [3, 1], [11, 1], [16, 1]], 1/4224], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 3]], 1/576000], [[[1, 4], [2, 1], [3, 2], [4, 2], [13, 1]], 1/39936], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 2]], 1/22118400], [[[1, 4], [2, 1], [3, 2], [4, 5], [9, 1]], 1/2654208], [[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 1/1620], [[[1, 4], [2, 1], [3, 2], [5, 1], [13, 1]], 1/9360], [[[1, 4], [2, 1], [3, 2], [5, 2], [8, 2]], 1/460800], [[[1, 4], [2, 1], [3, 2], [5, 2], [15, 1]], 1/3600], [[[1, 4], [2, 1], [3, 2], [5, 2], [16, 1]], 1/57600], [[[1, 4], [2, 1], [3, 2], [8, 1], [13, 1]], 1/14976], [[[1, 4], [2, 1], [3, 2], [9, 1], [11, 1]], 1/1188], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 2]], 1/3888], [[[1, 4], [2, 1], [3, 3], [4, 1], [13, 1]], 1/44928], [[[1, 4], [2, 1], [3, 3], [4, 4], [7, 1]], 1/27869184], [[[1, 4], [2, 1], [3, 3], [4, 4], [9, 1]], 1/3981312], [[[1, 4], [2, 1], [3, 3], [5, 1], [11, 1]], 1/142560], [[[1, 4], [2, 1], [3, 3], [5, 2], [9, 1]], 1/32400], [[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/1944], [[[1, 4], [2, 1], [3, 3], [6, 1], [13, 1]], 1/5616], [[[1, 4], [2, 1], [3, 3], [7, 1], [8, 2]], 1/580608], [[[1, 4], [2, 1], [3, 3], [7, 1], [16, 1]], 1/72576], [[[1, 4], [2, 1], [3, 3], [8, 2], [9, 1]], 1/82944], [[[1, 4], [2, 1], [3, 3], [9, 1], [16, 1]], 1/10368], [[[1, 4], [2, 1], [3, 4], [5, 1], [15, 1]], 1/38880], [[[1, 4], [2, 1], [3, 4], [7, 1], [9, 1]], 5/163296], [[[1, 4], [2, 1], [4, 1], [5, 2], [11, 1]], 3/17600], [[[1, 4], [2, 1], [4, 1], [5, 3], [14, 1]], 1/84000], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 3]], 1/28672], [[[1, 4], [2, 1], [4, 1], [7, 2], [14, 1]], 1/2744], [[[1, 4], [2, 1], [4, 1], [8, 2], [11, 1]], 1/22528], [[[1, 4], [2, 1], [4, 1], [13, 1], [14, 1]], 1/8736], [[[1, 4], [2, 1], [4, 2], [5, 1], [7, 2]], 1/62720], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 1/20480], [[[1, 4], [2, 1], [4, 2], [5, 1], [13, 1]], 1/12480], [[[1, 4], [2, 1], [4, 2], [5, 3], [8, 1]], 1/768000], [[[1, 4], [2, 1], [4, 2], [5, 3], [10, 1]], 1/32000], [[[1, 4], [2, 1], [4, 2], [5, 3], [12, 1]], 1/144000], [[[1, 4], [2, 1], [4, 2], [7, 2], [8, 1]], 1/200704], [[[1, 4], [2, 1], [4, 2], [7, 2], [12, 1]], 1/18816], [[[1, 4], [2, 1], [4, 2], [8, 1], [13, 1]], 1/79872], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 11/24576], [[[1, 4], [2, 1], [4, 2], [12, 1], [13, 1]], 1/3744], [[[1, 4], [2, 1], [4, 3], [5, 1], [11, 1]], 37/675840], [[[1, 4], [2, 1], [4, 3], [5, 2], [7, 1]], 1/89600], [[[1, 4], [2, 1], [4, 3], [5, 3], [6, 1]], 1/3456000], [[[1, 4], [2, 1], [4, 3], [6, 1], [7, 2]], 1/903168], [[[1, 4], [2, 1], [4, 3], [6, 1], [13, 1]], 1/359424], [[[1, 4], [2, 1], [4, 3], [6, 1], [26, 1]], 1/1437696], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 1], [4, 3], [10, 1], [22, 1]], 1/2027520], [[[1, 4], [2, 1], [4, 3], [11, 1], [12, 1]], 1/8448], [[[1, 4], [2, 1], [4, 4], [5, 2], [10, 1]], 1/1228800], [[[1, 4], [2, 1], [4, 4], [7, 1], [14, 1]], 1/688128], [[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 7/589824], [[[1, 4], [2, 1], [4, 5], [5, 1], [7, 1]], 1/3440640], [[[1, 4], [2, 1], [4, 5], [7, 1], [8, 1]], 1/1376256], [[[1, 4], [2, 1], [5, 1], [7, 1], [11, 1]], 3/12320], [[[1, 4], [2, 1], [5, 2], [8, 2], [10, 1]], 1/25600], [[[1, 4], [2, 1], [5, 3], [8, 1], [10, 1]], 1/120000], [[[1, 4], [2, 1], [7, 1], [8, 2], [14, 1]], 1/14336], [[[1, 4], [2, 1], [7, 1], [14, 1], [16, 1]], 1/1792], [[[1, 4], [2, 1], [7, 2], [8, 1], [10, 1]], 1/31360], [[[1, 4], [2, 1], [8, 1], [10, 1], [13, 1]], 1/12480], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/2304000], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 1/150528], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 7/98304], [[[1, 4], [2, 3], [3, 1], [4, 2], [13, 1]], 173/958464], [[[1, 4], [2, 3], [3, 1], [4, 2], [14, 2]], 5/301056], [[[1, 4], [2, 3], [3, 1], [4, 2], [26, 1]], 5/39936], [[[1, 4], [2, 3], [3, 1], [4, 3], [11, 1]], 53/1216512], [[[1, 4], [2, 3], [3, 1], [4, 3], [22, 1]], 31/405504], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 1/307200], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 7/131072], [[[1, 4], [2, 3], [3, 1], [4, 4], [10, 2]], 1/1843200], [[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 1/4128768], [[[1, 4], [2, 3], [3, 1], [4, 5], [9, 1]], 1/1769472], [[[1, 4], [2, 3], [3, 1], [4, 5], [14, 1]], 1/1032192], [[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 1/11796480], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 1/786432], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 2]], 1/23520], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 3]], 1/12000], [[[1, 4], [2, 3], [3, 1], [5, 1], [13, 1]], 1/9984], [[[1, 4], [2, 3], [3, 1], [5, 1], [14, 2]], 1/47040], [[[1, 4], [2, 3], [3, 1], [5, 1], [26, 1]], 1/6240], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 1/6000], [[[1, 4], [2, 3], [3, 1], [5, 2], [15, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [5, 2], [16, 1]], 1/19200], [[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/64800], [[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 1/180000], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/84672], [[[1, 4], [2, 3], [3, 1], [6, 2], [13, 1]], 23/269568], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 2]], 1/28224], [[[1, 4], [2, 3], [3, 1], [6, 2], [26, 1]], 1/8424], [[[1, 4], [2, 3], [3, 1], [7, 1], [11, 1]], 1/3696], [[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/75264], [[[1, 4], [2, 3], [3, 1], [7, 2], [10, 1]], 1/23520], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 3]], 1/576000], [[[1, 4], [2, 3], [3, 1], [8, 1], [13, 1]], 37/239616], [[[1, 4], [2, 3], [3, 1], [8, 1], [14, 2]], 1/37632], [[[1, 4], [2, 3], [3, 1], [8, 1], [26, 1]], 5/29952], [[[1, 4], [2, 3], [3, 1], [9, 1], [11, 1]], 1/3168], [[[1, 4], [2, 3], [3, 1], [10, 1], [13, 1]], 23/74880], [[[1, 4], [2, 3], [3, 1], [10, 1], [14, 2]], 1/47040], [[[1, 4], [2, 3], [3, 1], [10, 1], [26, 1]], 1/6240], [[[1, 4], [2, 3], [3, 1], [11, 1], [14, 1]], 1/3696], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 1/225792], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 1/147456], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 1/2592], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 3]], 1/864000], [[[1, 4], [2, 3], [3, 2], [4, 1], [13, 1]], 31/179712], [[[1, 4], [2, 3], [3, 2], [4, 1], [14, 2]], 1/112896], [[[1, 4], [2, 3], [3, 2], [4, 1], [26, 1]], 1/22464], [[[1, 4], [2, 3], [3, 2], [4, 2], [11, 1]], 1/25344], [[[1, 4], [2, 3], [3, 2], [4, 2], [22, 1]], 1/50688], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 7/33177600], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/24576], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 3]], 1/1990656], [[[1, 4], [2, 3], [3, 2], [4, 4], [9, 1]], 61/5308416], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/3538944], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 1/7077888], [[[1, 4], [2, 3], [3, 2], [5, 1], [11, 1]], 1/126720], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 3]], 1/259200], [[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/201600], [[[1, 4], [2, 3], [3, 2], [5, 2], [14, 1]], 1/100800], [[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 1/216000], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/7056], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 3]], 1/72000], [[[1, 4], [2, 3], [3, 2], [6, 1], [13, 1]], 1/1872], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 2]], 1/169344], [[[1, 4], [2, 3], [3, 2], [6, 1], [26, 1]], 7/89856], [[[1, 4], [2, 3], [3, 2], [6, 2], [11, 1]], 1/28512], [[[1, 4], [2, 3], [3, 2], [6, 2], [22, 1]], 1/57024], [[[1, 4], [2, 3], [3, 2], [6, 3], [16, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [7, 1], [16, 1]], 1/16128], [[[1, 4], [2, 3], [3, 2], [8, 1], [11, 1]], 1/25344], [[[1, 4], [2, 3], [3, 2], [8, 2], [9, 1]], 1/110592], [[[1, 4], [2, 3], [3, 2], [9, 1], [16, 1]], 1/4608], [[[1, 4], [2, 3], [3, 2], [10, 1], [11, 1]], 1/7920], [[[1, 4], [2, 3], [3, 2], [10, 1], [22, 1]], 1/42240], [[[1, 4], [2, 3], [3, 3], [4, 1], [11, 1]], 1/76032], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 1/2764800], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/82944], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 1/497664], [[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 1/5971968], [[[1, 4], [2, 3], [3, 3], [4, 3], [9, 1]], 61/5971968], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 23/15925248], [[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 1/10616832], [[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 1/43200], [[[1, 4], [2, 3], [3, 3], [5, 1], [15, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [5, 1], [16, 1]], 1/103680], [[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 19/777600], [[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 1/216000], [[[1, 4], [2, 3], [3, 3], [6, 1], [11, 1]], 1/9504], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 2]], 1/110592], [[[1, 4], [2, 3], [3, 3], [6, 2], [10, 2]], 1/259200], [[[1, 4], [2, 3], [3, 3], [6, 2], [16, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [6, 3], [7, 1]], 1/108864], [[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 1/46656], [[[1, 4], [2, 3], [3, 3], [6, 3], [14, 1]], 1/108864], [[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/46656], [[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 5/145152], [[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 11/508032], [[[1, 4], [2, 3], [3, 3], [9, 1], [14, 1]], 1/18144], [[[1, 4], [2, 3], [3, 4], [4, 1], [16, 1]], 1/497664], [[[1, 4], [2, 3], [3, 4], [4, 2], [7, 1]], 1/3483648], [[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 5/497664], [[[1, 4], [2, 3], [3, 4], [4, 2], [14, 1]], 1/870912], [[[1, 4], [2, 3], [3, 4], [4, 3], [6, 2]], 1/4478976], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/7962624], [[[1, 4], [2, 3], [3, 4], [4, 4], [6, 1]], 1/35831808], [[[1, 4], [2, 3], [3, 4], [6, 1], [16, 1]], 1/62208], [[[1, 4], [2, 3], [3, 4], [6, 2], [7, 1]], 55/979776], [[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 37/139968], [[[1, 4], [2, 3], [3, 4], [7, 1], [10, 1]], 1/272160], [[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 1/38880], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 9/62720], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 1/40960], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 1/480000], [[[1, 4], [2, 3], [4, 1], [5, 1], [13, 1]], 3/8320], [[[1, 4], [2, 3], [4, 1], [5, 1], [14, 2]], 1/31360], [[[1, 4], [2, 3], [4, 1], [5, 1], [26, 1]], 1/4992], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/204800], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 3/16000], [[[1, 4], [2, 3], [4, 1], [5, 2], [16, 1]], 1/12800], [[[1, 4], [2, 3], [4, 1], [5, 3], [6, 2]], 1/864000], [[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 1/153600], [[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 31/160000], [[[1, 4], [2, 3], [4, 1], [5, 3], [12, 1]], 7/864000], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 2]], 1/225792], [[[1, 4], [2, 3], [4, 1], [6, 2], [13, 1]], 1/89856], [[[1, 4], [2, 3], [4, 1], [6, 2], [26, 1]], 7/179712], [[[1, 4], [2, 3], [4, 1], [7, 1], [11, 1]], 3/9856], [[[1, 4], [2, 3], [4, 1], [7, 1], [22, 1]], 3/9856], [[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 19/50176], [[[1, 4], [2, 3], [4, 1], [7, 2], [10, 1]], 3/62720], [[[1, 4], [2, 3], [4, 1], [7, 2], [12, 1]], 1/14112], [[[1, 4], [2, 3], [4, 1], [8, 1], [13, 1]], 37/39936], [[[1, 4], [2, 3], [4, 1], [8, 1], [14, 2]], 3/28672], [[[1, 4], [2, 3], [4, 1], [8, 1], [26, 1]], 5/26624], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 13/65536], [[[1, 4], [2, 3], [4, 1], [10, 1], [13, 1]], 1/4160], [[[1, 4], [2, 3], [4, 1], [10, 1], [14, 2]], 1/31360], [[[1, 4], [2, 3], [4, 1], [10, 2], [16, 1]], 1/25600], [[[1, 4], [2, 3], [4, 1], [10, 3], [12, 1]], 1/864000], [[[1, 4], [2, 3], [4, 1], [11, 1], [14, 1]], 1/2688], [[[1, 4], [2, 3], [4, 1], [12, 1], [13, 1]], 17/44928], [[[1, 4], [2, 3], [4, 1], [12, 1], [14, 2]], 1/28224], [[[1, 4], [2, 3], [4, 1], [12, 1], [26, 1]], 11/44928], [[[1, 4], [2, 3], [4, 1], [14, 1], [22, 1]], 1/9856], [[[1, 4], [2, 3], [4, 2], [5, 1], [11, 1]], 89/270336], [[[1, 4], [2, 3], [4, 2], [5, 1], [22, 1]], 3/28160], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 13/179200], [[[1, 4], [2, 3], [4, 2], [5, 2], [14, 1]], 1/22400], [[[1, 4], [2, 3], [4, 2], [5, 3], [6, 1]], 1/230400], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 5/150528], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 1/32768], [[[1, 4], [2, 3], [4, 2], [6, 1], [13, 1]], 5/29952], [[[1, 4], [2, 3], [4, 2], [6, 1], [14, 2]], 1/602112], [[[1, 4], [2, 3], [4, 2], [6, 1], [26, 1]], 149/1916928], [[[1, 4], [2, 3], [4, 2], [6, 2], [22, 1]], 1/202752], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 67/114688], [[[1, 4], [2, 3], [4, 2], [7, 1], [10, 2]], 1/44800], [[[1, 4], [2, 3], [4, 2], [7, 1], [16, 1]], 1/14336], [[[1, 4], [2, 3], [4, 2], [8, 1], [11, 1]], 13/24576], [[[1, 4], [2, 3], [4, 2], [8, 1], [22, 1]], 1/8192], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 11/57344], [[[1, 4], [2, 3], [4, 2], [10, 1], [11, 1]], 3/28160], [[[1, 4], [2, 3], [4, 2], [10, 1], [22, 1]], 25/540672], [[[1, 4], [2, 3], [4, 2], [11, 1], [12, 1]], 1/4224], [[[1, 4], [2, 3], [4, 2], [12, 1], [22, 1]], 7/50688], [[[1, 4], [2, 3], [4, 2], [14, 1], [16, 1]], 1/14336], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 37/245760], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 43/1843200], [[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 1/40960], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 13/204800], [[[1, 4], [2, 3], [4, 3], [5, 2], [12, 1]], 1/76800], [[[1, 4], [2, 3], [4, 3], [6, 1], [11, 1]], 95/1216512], [[[1, 4], [2, 3], [4, 3], [6, 1], [22, 1]], 13/1216512], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/98304], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 1/33177600], [[[1, 4], [2, 3], [4, 3], [6, 3], [14, 1]], 1/41803776], [[[1, 4], [2, 3], [4, 3], [6, 3], [18, 1]], 19/5971968], [[[1, 4], [2, 3], [4, 3], [7, 1], [14, 1]], 191/903168], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 1/409600], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 119/196608], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1/12288], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 109/6881280], [[[1, 4], [2, 3], [4, 4], [5, 2], [6, 1]], 1/921600], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 11/393216], [[[1, 4], [2, 3], [4, 4], [6, 2], [18, 1]], 7/3981312], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 1/16384], [[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 1/43008], [[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 1/129024], [[[1, 4], [2, 3], [4, 4], [10, 1], [14, 1]], 1/737280], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 13/1966080], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1/655360], [[[1, 4], [2, 3], [4, 5], [6, 1], [7, 1]], 1/1032192], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1/163840], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1/24576], [[[1, 4], [2, 3], [5, 1], [6, 1], [7, 2]], 1/23520], [[[1, 4], [2, 3], [5, 1], [6, 1], [13, 1]], 1/4680], [[[1, 4], [2, 3], [5, 1], [6, 1], [14, 2]], 1/47040], [[[1, 4], [2, 3], [5, 1], [6, 1], [26, 1]], 19/74880], [[[1, 4], [2, 3], [5, 1], [6, 2], [11, 1]], 7/380160], [[[1, 4], [2, 3], [5, 1], [6, 2], [22, 1]], 1/15840], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 2]], 1/143360], [[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/5600], [[[1, 4], [2, 3], [5, 1], [7, 1], [16, 1]], 3/17920], [[[1, 4], [2, 3], [5, 1], [8, 1], [11, 1]], 13/337920], [[[1, 4], [2, 3], [5, 1], [8, 1], [22, 1]], 1/14080], [[[1, 4], [2, 3], [5, 1], [10, 1], [11, 1]], 7/105600], [[[1, 4], [2, 3], [5, 1], [10, 1], [22, 1]], 7/105600], [[[1, 4], [2, 3], [5, 1], [10, 2], [14, 1]], 1/11200], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 1/6000], [[[1, 4], [2, 3], [5, 2], [6, 3], [10, 1]], 1/43200], [[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 3/11200], [[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/5600], [[[1, 4], [2, 3], [5, 3], [6, 1], [8, 1]], 1/192000], [[[1, 4], [2, 3], [5, 3], [6, 1], [10, 1]], 1/11250], [[[1, 4], [2, 3], [6, 1], [7, 1], [22, 1]], 1/7392], [[[1, 4], [2, 3], [6, 1], [7, 2], [8, 1]], 1/25088], [[[1, 4], [2, 3], [6, 1], [7, 2], [10, 1]], 1/23520], [[[1, 4], [2, 3], [6, 1], [8, 1], [13, 1]], 1/4992], [[[1, 4], [2, 3], [6, 1], [8, 1], [26, 1]], 1/26624], [[[1, 4], [2, 3], [6, 1], [10, 1], [13, 1]], 1/4680], [[[1, 4], [2, 3], [6, 1], [10, 1], [26, 1]], 1/23040], [[[1, 4], [2, 3], [6, 1], [10, 2], [30, 1]], 13/115200], [[[1, 4], [2, 3], [6, 1], [14, 1], [22, 1]], 1/14784], [[[1, 4], [2, 3], [6, 2], [16, 1], [18, 1]], 1/13824], [[[1, 4], [2, 3], [8, 1], [10, 1], [11, 1]], 1/8448], [[[1, 4], [2, 3], [8, 1], [10, 1], [22, 1]], 3/112640], [[[1, 4], [2, 3], [10, 1], [14, 1], [16, 1]], 1/17920], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 31/903168], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 61/2304000], [[[1, 4], [2, 5], [3, 1], [4, 1], [13, 1]], 901/9584640], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 13/301056], [[[1, 4], [2, 5], [3, 1], [4, 1], [26, 1]], 1/4608], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/331776], [[[1, 4], [2, 5], [3, 1], [4, 2], [11, 1]], 133/1622016], [[[1, 4], [2, 5], [3, 1], [4, 2], [22, 1]], 1/6336], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 1/1105920], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 23/7962624], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 305/2359296], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 23/1382400], [[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 1/73728], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 581/191102976], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 17/6193152], [[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 29/3981312], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 37/1548288], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 7/17694720], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 19/10616832], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 1/110592], [[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 1/1105920], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 59/84934656], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 1/233280], [[[1, 4], [2, 5], [3, 1], [5, 1], [11, 1]], 71/2027520], [[[1, 4], [2, 5], [3, 1], [5, 1], [22, 1]], 1/12672], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/230400], [[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/806400], [[[1, 4], [2, 5], [3, 1], [5, 2], [9, 1]], 7/345600], [[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 1/165888], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 53/677376], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 343/10368000], [[[1, 4], [2, 5], [3, 1], [6, 1], [13, 1]], 17/82944], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 43/169344], [[[1, 4], [2, 5], [3, 1], [6, 1], [26, 1]], 521/1078272], [[[1, 4], [2, 5], [3, 1], [6, 2], [11, 1]], 1/25344], [[[1, 4], [2, 5], [3, 1], [6, 2], [22, 1]], 35/114048], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 1/442368], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 19/2073600], [[[1, 4], [2, 5], [3, 1], [6, 3], [16, 1]], 1/18432], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 1/108864], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 95/7838208], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 113/1119744], [[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 1/22394880], [[[1, 4], [2, 5], [3, 1], [7, 1], [16, 1]], 1/64512], [[[1, 4], [2, 5], [3, 1], [8, 1], [11, 1]], 37/1351680], [[[1, 4], [2, 5], [3, 1], [8, 1], [22, 1]], 19/253440], [[[1, 4], [2, 5], [3, 1], [9, 1], [16, 1]], 1/27648], [[[1, 4], [2, 5], [3, 1], [10, 1], [11, 1]], 7/63360], [[[1, 4], [2, 5], [3, 1], [10, 1], [22, 1]], 29/304128], [[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/22400], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 151/5598720], [[[1, 4], [2, 5], [3, 2], [4, 1], [11, 1]], 7/304128], [[[1, 4], [2, 5], [3, 2], [4, 1], [22, 1]], 23/760320], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 17/44236800], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 485/17915904], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 19/884736], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/460800], [[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 1/73728], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 79/2654208], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 19/9289728], [[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 155/5308416], [[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 1/129024], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/1327104], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 373/31850496], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 89/10616832], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 1/1327104], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 11/466560], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 19/172800], [[[1, 4], [2, 5], [3, 2], [5, 1], [15, 1]], 1/36864], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 1/25600], [[[1, 4], [2, 5], [3, 2], [5, 2], [8, 1]], 7/18432000], [[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 23/2304000], [[[1, 4], [2, 5], [3, 2], [6, 1], [11, 1]], 17/228096], [[[1, 4], [2, 5], [3, 2], [6, 1], [22, 1]], 13/228096], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 1/73728], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 179/2073600], [[[1, 4], [2, 5], [3, 2], [6, 2], [16, 1]], 1/6912], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 19/290304], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 1/41472], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 29/124416], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 5/13824], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/62208], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 61/1399680], [[[1, 4], [2, 5], [3, 2], [7, 1], [9, 1]], 1/36864], [[[1, 4], [2, 5], [3, 2], [7, 1], [14, 1]], 11/193536], [[[1, 4], [2, 5], [3, 2], [9, 1], [14, 1]], 1/24192], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 19/279936], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 31/497664], [[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 17/55738368], [[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 47/2654208], [[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1/59719680], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 103/7962624], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 1/884736], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 7/15925248], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 7/155520], [[[1, 4], [2, 5], [3, 3], [5, 1], [7, 1]], 1/8709120], [[[1, 4], [2, 5], [3, 3], [5, 1], [9, 1]], 1/1244160], [[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 1/3110400], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 7/2073600], [[[1, 4], [2, 5], [3, 3], [6, 1], [16, 1]], 1/55296], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 151/2612736], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 53/373248], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 59/870912], [[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 7/373248], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 1/27648], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/19440], [[[1, 4], [2, 5], [3, 3], [7, 1], [8, 1]], 1/3317760], [[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/2177280], [[[1, 4], [2, 5], [3, 3], [8, 1], [9, 1]], 7/3317760], [[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 7/311040], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 29/559872], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 299/17915904], [[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 1/4976640], [[[1, 4], [2, 5], [3, 4], [4, 2], [12, 1]], 1/8957952], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 7/8957952], [[[1, 4], [2, 5], [3, 4], [6, 1], [7, 1]], 1/3919104], [[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 1/559872], [[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 1/746496], [[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 1/51840], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 11/18662400], [[[1, 4], [2, 5], [4, 1], [5, 1], [11, 1]], 287/4505600], [[[1, 4], [2, 5], [4, 1], [5, 1], [22, 1]], 73/422400], [[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/43008], [[[1, 4], [2, 5], [4, 1], [5, 2], [14, 1]], 1/38400], [[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 157/13824000], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 2]], 13/516096], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 1/98304], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 7/3456000], [[[1, 4], [2, 5], [4, 1], [6, 1], [13, 1]], 19/110592], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/7056], [[[1, 4], [2, 5], [4, 1], [6, 1], [26, 1]], 1697/5750784], [[[1, 4], [2, 5], [4, 1], [6, 2], [11, 1]], 7/152064], [[[1, 4], [2, 5], [4, 1], [6, 2], [22, 1]], 19/152064], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/110592], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 7/4147200], [[[1, 4], [2, 5], [4, 1], [6, 3], [16, 1]], 1/82944], [[[1, 4], [2, 5], [4, 1], [6, 4], [7, 1]], 1/580608], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 5/2612736], [[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 13/746496], [[[1, 4], [2, 5], [4, 1], [6, 5], [12, 1]], 1/33592320], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 3/114688], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 2]], 1/16800], [[[1, 4], [2, 5], [4, 1], [7, 1], [16, 1]], 1/14336], [[[1, 4], [2, 5], [4, 1], [8, 1], [11, 1]], 1/11264], [[[1, 4], [2, 5], [4, 1], [8, 1], [22, 1]], 23/67584], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/21504], [[[1, 4], [2, 5], [4, 1], [10, 1], [11, 1]], 5/33792], [[[1, 4], [2, 5], [4, 1], [10, 1], [22, 1]], 179/737280], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 19/179200], [[[1, 4], [2, 5], [4, 1], [11, 1], [12, 1]], 23/304128], [[[1, 4], [2, 5], [4, 1], [12, 1], [22, 1]], 103/760320], [[[1, 4], [2, 5], [4, 1], [14, 1], [16, 1]], 5/43008], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 1/1658880], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 5/32768], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 3049/6144000], [[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 1/20480], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/230400], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 31/2457600], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 3257/12288000], [[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 1/57600], [[[1, 4], [2, 5], [4, 2], [6, 1], [11, 1]], 3/22528], [[[1, 4], [2, 5], [4, 2], [6, 1], [22, 1]], 835/3244032], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 275/1769472], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 269/44236800], [[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 1/36864], [[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 1/145152], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 485/55738368], [[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 97/884736], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 59/15925248], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 1/4976640], [[[1, 4], [2, 5], [4, 2], [6, 4], [12, 1]], 7/8957952], [[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 1075/1376256], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 23/122880], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 353/589824], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 9/20480], [[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 1/15360], [[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 17/460800], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 131/6881280], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/20480], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 91/11059200], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 443/1179648], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 443/16588800], [[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 1/73728], [[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 5/258048], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 173/13934592], [[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 2311/23887872], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/55296], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 17/5971968], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 565/2752512], [[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 5/86016], [[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 1/36864], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 545/1376256], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 2887/30965760], [[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 5/86016], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 481/8847360], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 61/1310720], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 1/43008], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 317/24772608], [[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 715/31850496], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 119/5308416], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 13/3317760], [[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 1/221184], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 167/1769472], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 1/8192], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 1/61440], [[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 1/1474560], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 157/4718592], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 47/11796480], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 5/884736], [[[1, 4], [2, 5], [5, 1], [6, 1], [11, 1]], 97/1520640], [[[1, 4], [2, 5], [5, 1], [6, 1], [22, 1]], 1/5280], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 167/3456000], [[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 43/2177280], [[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 5/62208], [[[1, 4], [2, 5], [5, 1], [6, 4], [8, 1]], 1/2488320], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 31/6220800], [[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 191/501760], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 161/1536000], [[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 1/49152], [[[1, 4], [2, 5], [5, 1], [10, 1], [16, 1]], 1/3840], [[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 1/67200], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/7200], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 43/512000], [[[1, 4], [2, 5], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 4], [2, 5], [6, 1], [8, 1], [11, 1]], 1/18432], [[[1, 4], [2, 5], [6, 1], [8, 1], [22, 1]], 17/202752], [[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 1/516096], [[[1, 4], [2, 5], [6, 1], [8, 2], [18, 1]], 1/221184], [[[1, 4], [2, 5], [6, 1], [10, 1], [11, 1]], 1/21120], [[[1, 4], [2, 5], [6, 1], [10, 1], [22, 1]], 41/405504], [[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 1/32256], [[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 17/230400], [[[1, 4], [2, 5], [6, 1], [14, 1], [16, 1]], 1/16128], [[[1, 4], [2, 5], [6, 1], [16, 1], [18, 1]], 1/13824], [[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 61/338688], [[[1, 4], [2, 5], [6, 2], [7, 1], [18, 1]], 1/8064], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 1/614400], [[[1, 4], [2, 5], [6, 2], [10, 1], [16, 1]], 1/46080], [[[1, 4], [2, 5], [6, 2], [10, 1], [30, 1]], 11/184320], [[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 337/2322432], [[[1, 4], [2, 5], [6, 3], [7, 1], [10, 1]], 1/181440], [[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/774144], [[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 7/331776], [[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 37/8709120], [[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 19/1244160], [[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 83/344064], [[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 239/376320], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 1993/89579520], [[[1, 4], [2, 7], [3, 1], [4, 1], [11, 1]], 23/5677056], [[[1, 4], [2, 7], [3, 1], [4, 1], [22, 1]], 131/2703360], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 1/3686400], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 137/2654208], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 521/23592960], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 163/7372800], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 12769/286654464], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 155/74317824], [[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 155/31850496], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 2591/185794560], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 11/14155776], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 887/31850496], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 413/26542080], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 7/1228800], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 1/663552], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 959/212336640], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 59/3732480], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 527/13824000], [[[1, 4], [2, 7], [3, 1], [5, 1], [15, 1]], 97/66355200], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 7/9216000], [[[1, 4], [2, 7], [3, 1], [5, 2], [8, 1]], 1/18432000], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 347/27648000], [[[1, 4], [2, 7], [3, 1], [6, 1], [11, 1]], 7/1013760], [[[1, 4], [2, 7], [3, 1], [6, 1], [22, 1]], 3257/18247680], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 1/221184], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 167/1327104], [[[1, 4], [2, 7], [3, 1], [6, 2], [16, 1]], 1/46080], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 17/580608], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 18607/125411328], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 1519/5971968], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 215/17915904], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 223/5598720], [[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 97/278691840], [[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 97/3870720], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 49/6912000], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 43/4644864000], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 1321/8957952], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 11/8847360], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 17/5184000], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 16097/143327232], [[[1, 4], [2, 7], [3, 2], [4, 2], [9, 1]], 19/5898240], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1/1105920], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 479/11796480], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 17/14155776], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/737280], [[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 1/1327104], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 197/159252480], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1/38880], [[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/58060800], [[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 31/24883200], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 17/18432000], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 1679/82944000], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 211/11612160], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 31/4976640], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 827/3870720], [[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 97/4976640], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 103/2654208], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 4637/22394880], [[[1, 4], [2, 7], [3, 2], [7, 1], [8, 1]], 1/15482880], [[[1, 4], [2, 7], [3, 2], [8, 1], [9, 1]], 23/13271040], [[[1, 4], [2, 7], [3, 2], [9, 1], [10, 1]], 1/414720], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 1/107520], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 299/5971968], [[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 43/5852528640], [[[1, 4], [2, 7], [3, 3], [4, 1], [9, 1]], 53/92897280], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 355/31850496], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 53/63700992], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 23/4976640], [[[1, 4], [2, 7], [3, 3], [5, 1], [8, 1]], 1/99532800], [[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 31/99532800], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 19/41803776], [[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 73/29859840], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 5/870912], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 131/13271040], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 137/6220800], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 13/17915904], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 1/477757440], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/143327232], [[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 1/59719680], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 17/2985984], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 11/1228800], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 5607/20480000], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/691200], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 31/12288000], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 9/163840], [[[1, 4], [2, 7], [4, 1], [5, 2], [12, 1]], 1/2764800], [[[1, 4], [2, 7], [4, 1], [6, 1], [11, 1]], 331/24330240], [[[1, 4], [2, 7], [4, 1], [6, 1], [22, 1]], 4633/24330240], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 127/3538944], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 2699/44236800], [[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 1/55296], [[[1, 4], [2, 7], [4, 1], [6, 3], [7, 1]], 5/435456], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 8833/167215104], [[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 1261/7962624], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 19/1492992], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 257/29859840], [[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 35/26873856], [[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 12083/72253440], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 1631/14745600], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 6347/247726080], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 83/2949120], [[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 1/51200], [[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 139/10368000], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 7/829440], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 211/68812800], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 53/2150400], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 7/3686400], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 3577/14155776], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 5789/44236800], [[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 11/737280], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 37/1548288], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 4799/37158912], [[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 4441/17694720], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 119/1327104], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 3347/79626240], [[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 37/4478976], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 13/322560], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 1/33600], [[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 1/258048], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 3739/10321920], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 193/917504], [[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 319/7741440], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/122880], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 353/11796480], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 54557/530841600], [[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 1/368640], [[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 241/20643840], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 5569/55738368], [[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 1271/13063680], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 2947/17694720], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 23831/398131200], [[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 5/331776], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 8441/29491200], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 7/98304], [[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 1/36864], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 1/491520], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 721/6635520], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 13283/424673280], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 7/442368], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 947/5529600], [[[1, 4], [2, 7], [5, 1], [6, 2], [7, 1]], 1/645120], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 13/362880], [[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 83/1555200], [[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 1/622080], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1541/33177600], [[[1, 4], [2, 7], [5, 1], [7, 1], [8, 1]], 23/17203200], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/32256], [[[1, 4], [2, 7], [5, 1], [8, 1], [14, 1]], 13/3225600], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 139/806400], [[[1, 4], [2, 7], [5, 2], [6, 1], [8, 1]], 1/1843200], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 79/1536000], [[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 6631/54190080], [[[1, 4], [2, 7], [6, 1], [7, 1], [18, 1]], 1/40320], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 1/589824], [[[1, 4], [2, 7], [6, 1], [10, 1], [16, 1]], 1/61440], [[[1, 4], [2, 7], [6, 1], [10, 1], [30, 1]], 37/4915200], [[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 16717/185794560], [[[1, 4], [2, 7], [6, 2], [7, 1], [10, 1]], 1/48384], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 1/48384], [[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 103/2654208], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 101/1658880], [[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 55/497664], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 29/4976640], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 71/3440640], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/193536000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 71357/1433272320], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 53/41287680], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 1661/387072000], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 29933/495452160], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 17/289013760], [[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 13/111476736], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 151/36126720], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 43/2477260800], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 21701/955514880], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 2077/990904320], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 377/232243200], [[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 29/185794560], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 49697/17836277760], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 743/174182400], [[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 29/4335206400], [[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 29/1857945600], [[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 23/33868800], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 19/4128768000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 1/2949120], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 334631/9289728000], [[[1, 4], [2, 9], [3, 1], [6, 1], [16, 1]], 1/2064384], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 373/162570240], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 833893/11705057280], [[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 53579/1672151040], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 77737/10032906240], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 58799/895795200], [[[1, 4], [2, 9], [3, 1], [7, 1], [8, 1]], 1/61931520], [[[1, 4], [2, 9], [3, 1], [8, 1], [9, 1]], 1/26542080], [[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 2503/1950842880], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 5563/1625702400], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 98129/2006581248], [[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/86704128], [[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 349/4459069440], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 2179/2926264320], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/232243200], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 158141/13377208320], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 377/1486356480], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 37/232243200], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 19/49545216], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 2227/1393459200], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 10699/22295347200], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 169/5202247680], [[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 169/2229534720], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 223/81285120], [[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 29/34836480], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 743/185794560], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 163537/4180377600], [[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/8360755200], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 127/95551488], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/159252480], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 43/2229534720], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/99532800], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/53084160], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 17/24883200], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 11/2508226560], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 29/8164800], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 79/1926758400], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 6787/1625702400], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 11/221184000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 7/884736], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 2311/36864000], [[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 23/15482880], [[[1, 4], [2, 9], [4, 1], [6, 2], [7, 1]], 19/5806080], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 18749/278691840], [[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 68293/1114767360], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 3013/119439360], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 23099/597196800], [[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 11/7348320], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 2081/2312110080], [[[1, 4], [2, 9], [4, 1], [7, 1], [10, 1]], 13/5644800], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 8149/247726080], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 282239/4335206400], [[[1, 4], [2, 9], [4, 1], [12, 1], [14, 1]], 1487/585252864], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 1/276480], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 517/176947200], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 240097/12386304000], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 83/43352064], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 19219/260112384], [[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 3589/123863040], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 2119/26542080], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 40729/530841600], [[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 629/119439360], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 4057/61931520], [[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 71/26542080], [[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 167/33177600], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 19/9830400], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 60839/990904320], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 1020491/22295347200], [[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 13/2654208], [[[1, 4], [2, 9], [5, 1], [6, 1], [7, 1]], 1/25804800], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 1237/203212800], [[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 37/12441600], [[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 1/2764800], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 263233/9289728000], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 6299/1548288000], [[[1, 4], [2, 9], [6, 1], [7, 1], [10, 1]], 17/4838400], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 11/1548288], [[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 113/30965760], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 1703/37158912], [[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 110527/5573836800], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 833/132710400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 50909/4459069440], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/2972712960], [[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/1274019840], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 179/609638400], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 73/19818086400], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 22187/3715891200], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 1943/11890851840], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 193/696729600], [[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 47/8360755200], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 173989/267544166400], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 1111/5225472000], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1789/22295347200], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 61/3185049600], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 279613/87787929600], [[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 59/391910400], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 13703/25082265600], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 16297/1672151040], [[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 719/10948608000], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 217153/114661785600], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 563/35672555520], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 83/2052864000], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 919/8026324992], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 427/47775744000], [[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 1/21772800], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 1627/7838208000], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 6977/802632499200], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 1987/5225472000], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 9197/148635648000], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 12020369/8174960640000], [[[1, 4], [2, 11], [4, 1], [6, 1], [7, 1]], 29/325140480], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 43279/4682022912], [[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 3757/1672151040], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 4379/891813888], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 161239/11147673600], [[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 3859/18811699200], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 5413/1857945600], [[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 2149/16422912000], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 13/58060800], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 118969/17836277760], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 63587/5573836800], [[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 169/501645312], [[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 13/1393459200], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 5561/2786918400], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 583/928972800], [[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 67/459841536000], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 154097/353158299648], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 2741/980995276800], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 5167/459841536000], [[[1, 4], [2, 13], [3, 1], [4, 1], [12, 1]], 23/551809843200], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 45539/523197480960], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 1/574801920], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 791669/114776447385600], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 8061283/44144787456000], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 61091/11477644738560], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 47821/5977939968000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 1808167/11771943321600], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 3256417/4204265472000], [[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 6067/1345036492800], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 2457661/803435131699200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 1/153600], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/100352], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 5/98304], [[[1, 5], [2, 2], [3, 1], [4, 2], [13, 1]], 43/319488], [[[1, 5], [2, 2], [3, 1], [4, 3], [11, 1]], 23/405504], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 1/294912], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 11/393216], [[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 1/2064384], [[[1, 5], [2, 2], [3, 1], [4, 5], [9, 1]], 1/1327104], [[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 1/11796480], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 1/786432], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/6720], [[[1, 5], [2, 2], [3, 1], [5, 1], [13, 1]], 1/3840], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 2]], 1/153600], [[[1, 5], [2, 2], [3, 1], [5, 2], [15, 1]], 1/3840], [[[1, 5], [2, 2], [3, 1], [5, 2], [16, 1]], 1/14400], [[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 1/648000], [[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/288000], [[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 1/11250], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 1/169344], [[[1, 5], [2, 2], [3, 1], [6, 2], [13, 1]], 5/269568], [[[1, 5], [2, 2], [3, 1], [6, 2], [26, 1]], 1/134784], [[[1, 5], [2, 2], [3, 1], [7, 1], [11, 1]], 1/2464], [[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/37632], [[[1, 5], [2, 2], [3, 1], [7, 2], [10, 1]], 1/47040], [[[1, 5], [2, 2], [3, 1], [8, 1], [13, 1]], 77/479232], [[[1, 5], [2, 2], [3, 1], [8, 1], [14, 2]], 1/150528], [[[1, 5], [2, 2], [3, 1], [8, 1], [26, 1]], 1/19968], [[[1, 5], [2, 2], [3, 1], [9, 1], [11, 1]], 5/9504], [[[1, 5], [2, 2], [3, 1], [10, 1], [13, 1]], 1/14976], [[[1, 5], [2, 2], [3, 1], [11, 1], [14, 1]], 1/7392], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/86400], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 1/112896], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 1/73728], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 1/1944], [[[1, 5], [2, 2], [3, 2], [4, 1], [13, 1]], 11/59904], [[[1, 5], [2, 2], [3, 2], [4, 1], [14, 2]], 1/225792], [[[1, 5], [2, 2], [3, 2], [4, 1], [26, 1]], 1/29952], [[[1, 5], [2, 2], [3, 2], [4, 2], [11, 1]], 5/101376], [[[1, 5], [2, 2], [3, 2], [4, 2], [22, 1]], 1/50688], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 7/1228800], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 11/294912], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/6193152], [[[1, 5], [2, 2], [3, 2], [4, 4], [9, 1]], 55/5308416], [[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 1/8847360], [[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 1/3538944], [[[1, 5], [2, 2], [3, 2], [5, 1], [11, 1]], 1/11520], [[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/67200], [[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 1/7200], [[[1, 5], [2, 2], [3, 2], [5, 2], [14, 1]], 1/100800], [[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 1/36000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 5/28224], [[[1, 5], [2, 2], [3, 2], [6, 1], [13, 1]], 1/1872], [[[1, 5], [2, 2], [3, 2], [6, 1], [26, 1]], 1/89856], [[[1, 5], [2, 2], [3, 2], [6, 2], [11, 1]], 1/57024], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 2]], 1/129024], [[[1, 5], [2, 2], [3, 2], [7, 1], [16, 1]], 1/12096], [[[1, 5], [2, 2], [3, 2], [8, 1], [11, 1]], 1/12672], [[[1, 5], [2, 2], [3, 2], [8, 2], [9, 1]], 1/36864], [[[1, 5], [2, 2], [3, 2], [9, 1], [16, 1]], 7/41472], [[[1, 5], [2, 2], [3, 2], [10, 1], [11, 1]], 1/15840], [[[1, 5], [2, 2], [3, 2], [10, 1], [22, 1]], 1/126720], [[[1, 5], [2, 2], [3, 3], [4, 1], [11, 1]], 1/28512], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 17/8294400], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 7/331776], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 5/4644864], [[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 11/663552], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 1/39813120], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 5/5308416], [[[1, 5], [2, 2], [3, 3], [4, 5], [6, 1]], 1/10616832], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 2]], 1/829440], [[[1, 5], [2, 2], [3, 3], [5, 1], [15, 1]], 1/11520], [[[1, 5], [2, 2], [3, 3], [5, 1], [16, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 19/777600], [[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/345600], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 23/648000], [[[1, 5], [2, 2], [3, 3], [6, 1], [11, 1]], 1/4752], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 2]], 1/110592], [[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 31/145152], [[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 1/28224], [[[1, 5], [2, 2], [3, 3], [9, 1], [14, 1]], 1/18144], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 1/1036800], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 1/3981312], [[[1, 5], [2, 2], [3, 4], [4, 1], [16, 1]], 1/497664], [[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 1/1161216], [[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 7/497664], [[[1, 5], [2, 2], [3, 4], [4, 2], [14, 1]], 1/870912], [[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 1/4976640], [[[1, 5], [2, 2], [3, 4], [4, 3], [6, 2]], 1/4478976], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 1/7962624], [[[1, 5], [2, 2], [3, 4], [4, 3], [12, 1]], 1/1492992], [[[1, 5], [2, 2], [3, 4], [4, 4], [6, 1]], 5/71663616], [[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 1/46656], [[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 7/777600], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 2]], 1/497664], [[[1, 5], [2, 2], [3, 4], [6, 1], [16, 1]], 1/62208], [[[1, 5], [2, 2], [3, 4], [6, 2], [7, 1]], 55/979776], [[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 37/139968], [[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 1/435456], [[[1, 5], [2, 2], [3, 4], [7, 1], [10, 1]], 1/272160], [[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/62208], [[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 1/38880], [[[1, 5], [2, 2], [3, 5], [4, 1], [7, 1]], 1/1306368], [[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 7/559872], [[[1, 5], [2, 2], [3, 5], [4, 1], [14, 1]], 1/3265920], [[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 11/29859840], [[[1, 5], [2, 2], [3, 5], [4, 3], [6, 1]], 1/134369280], [[[1, 5], [2, 2], [3, 5], [5, 1], [10, 1]], 1/466560], [[[1, 5], [2, 2], [3, 5], [6, 1], [7, 1]], 1/108864], [[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 11/139968], [[[1, 5], [2, 2], [3, 5], [8, 1], [10, 1]], 1/4665600], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 3/15680], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 1/30720], [[[1, 5], [2, 2], [4, 1], [5, 1], [13, 1]], 1/2080], [[[1, 5], [2, 2], [4, 1], [5, 1], [14, 2]], 1/125440], [[[1, 5], [2, 2], [4, 1], [5, 1], [26, 1]], 1/16640], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/102400], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 1/16000], [[[1, 5], [2, 2], [4, 1], [5, 2], [16, 1]], 1/25600], [[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 23/768000], [[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 31/160000], [[[1, 5], [2, 2], [4, 1], [5, 3], [12, 1]], 1/96000], [[[1, 5], [2, 2], [4, 1], [7, 1], [11, 1]], 3/9856], [[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 67/150528], [[[1, 5], [2, 2], [4, 1], [7, 2], [10, 1]], 1/31360], [[[1, 5], [2, 2], [4, 1], [7, 2], [12, 1]], 1/18816], [[[1, 5], [2, 2], [4, 1], [8, 1], [13, 1]], 1/1024], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 19/196608], [[[1, 5], [2, 2], [4, 1], [10, 1], [13, 1]], 1/8320], [[[1, 5], [2, 2], [4, 1], [11, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [4, 1], [12, 1], [13, 1]], 1/4992], [[[1, 5], [2, 2], [4, 1], [12, 1], [14, 2]], 1/225792], [[[1, 5], [2, 2], [4, 1], [12, 1], [26, 1]], 1/29952], [[[1, 5], [2, 2], [4, 2], [5, 1], [11, 1]], 409/1351680], [[[1, 5], [2, 2], [4, 2], [5, 1], [22, 1]], 1/28160], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 3/35840], [[[1, 5], [2, 2], [4, 2], [5, 2], [14, 1]], 1/44800], [[[1, 5], [2, 2], [4, 2], [5, 3], [6, 1]], 1/230400], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 5/301056], [[[1, 5], [2, 2], [4, 2], [6, 1], [13, 1]], 5/119808], [[[1, 5], [2, 2], [4, 2], [6, 1], [26, 1]], 17/1916928], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 149/344064], [[[1, 5], [2, 2], [4, 2], [8, 1], [11, 1]], 17/40960], [[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 1/28672], [[[1, 5], [2, 2], [4, 2], [10, 1], [11, 1]], 1/28160], [[[1, 5], [2, 2], [4, 2], [10, 1], [22, 1]], 17/2703360], [[[1, 5], [2, 2], [4, 2], [11, 1], [12, 1]], 1/6336], [[[1, 5], [2, 2], [4, 2], [12, 1], [22, 1]], 1/50688], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1/15360], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 1/1843200], [[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 7/245760], [[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 1/24576], [[[1, 5], [2, 2], [4, 3], [5, 2], [12, 1]], 1/38400], [[[1, 5], [2, 2], [4, 3], [6, 1], [11, 1]], 1/552960], [[[1, 5], [2, 2], [4, 3], [6, 1], [22, 1]], 1/2433024], [[[1, 5], [2, 2], [4, 3], [7, 1], [14, 1]], 47/1032192], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 443/1966080], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 7/147456], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 103/6881280], [[[1, 5], [2, 2], [4, 4], [5, 2], [6, 1]], 1/1843200], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 1/393216], [[[1, 5], [2, 2], [4, 4], [6, 2], [18, 1]], 1/3981312], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 37/688128], [[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 1/43008], [[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 1/2064384], [[[1, 5], [2, 2], [4, 4], [10, 1], [14, 1]], 1/5160960], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 1/1474560], [[[1, 5], [2, 2], [4, 5], [5, 1], [10, 1]], 1/1966080], [[[1, 5], [2, 2], [5, 1], [6, 1], [7, 2]], 1/47040], [[[1, 5], [2, 2], [5, 1], [6, 1], [13, 1]], 1/18720], [[[1, 5], [2, 2], [5, 1], [6, 1], [26, 1]], 1/74880], [[[1, 5], [2, 2], [5, 1], [6, 2], [11, 1]], 1/380160], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 2]], 3/143360], [[[1, 5], [2, 2], [5, 1], [7, 1], [16, 1]], 1/7680], [[[1, 5], [2, 2], [5, 1], [8, 1], [11, 1]], 13/675840], [[[1, 5], [2, 2], [5, 1], [10, 1], [11, 1]], 1/105600], [[[1, 5], [2, 2], [5, 1], [10, 1], [22, 1]], 1/105600], [[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 3/11200], [[[1, 5], [2, 2], [5, 3], [6, 1], [8, 1]], 1/192000], [[[1, 5], [2, 2], [5, 3], [6, 1], [10, 1]], 1/180000], [[[1, 5], [2, 2], [6, 1], [7, 2], [8, 1]], 1/37632], [[[1, 5], [2, 2], [6, 1], [7, 2], [10, 1]], 1/47040], [[[1, 5], [2, 2], [6, 1], [8, 1], [13, 1]], 1/9984], [[[1, 5], [2, 2], [6, 1], [8, 1], [26, 1]], 7/798720], [[[1, 5], [2, 2], [6, 1], [10, 1], [13, 1]], 1/18720], [[[1, 5], [2, 2], [6, 1], [10, 1], [26, 1]], 1/299520], [[[1, 5], [2, 2], [6, 1], [10, 2], [30, 1]], 1/115200], [[[1, 5], [2, 2], [8, 1], [10, 1], [11, 1]], 1/19200], [[[1, 5], [2, 2], [8, 1], [10, 1], [22, 1]], 7/1126400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 7/3456000], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/7056], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 1/98304], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 157/13824000], [[[1, 5], [2, 4], [3, 1], [4, 1], [13, 1]], 1697/5750784], [[[1, 5], [2, 4], [3, 1], [4, 1], [14, 2]], 13/516096], [[[1, 5], [2, 4], [3, 1], [4, 1], [26, 1]], 19/110592], [[[1, 5], [2, 4], [3, 1], [4, 2], [11, 1]], 835/3244032], [[[1, 5], [2, 4], [3, 1], [4, 2], [22, 1]], 3/22528], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 443/16588800], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 7/8957952], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 443/1179648], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 91/11059200], [[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 1/73728], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 7/15925248], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 317/24772608], [[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 715/31850496], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 1/43008], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 47/11796480], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 1/1327104], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 157/4718592], [[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 1/1474560], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 5/884736], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 59/84934656], [[[1, 5], [2, 4], [3, 1], [5, 1], [11, 1]], 41/405504], [[[1, 5], [2, 4], [3, 1], [5, 1], [22, 1]], 1/21120], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 7/2073600], [[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 1/32256], [[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 17/230400], [[[1, 5], [2, 4], [3, 1], [5, 2], [14, 1]], 1/33600], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 343/10368000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 43/169344], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 1/165888], [[[1, 5], [2, 4], [3, 1], [6, 1], [13, 1]], 521/1078272], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 53/677376], [[[1, 5], [2, 4], [3, 1], [6, 1], [26, 1]], 17/82944], [[[1, 5], [2, 4], [3, 1], [6, 2], [11, 1]], 13/228096], [[[1, 5], [2, 4], [3, 1], [6, 2], [22, 1]], 17/228096], [[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 1/3110400], [[[1, 5], [2, 4], [3, 1], [6, 3], [16, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [6, 4], [14, 1]], 1/3919104], [[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 1/559872], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 1/516096], [[[1, 5], [2, 4], [3, 1], [7, 1], [16, 1]], 1/16128], [[[1, 5], [2, 4], [3, 1], [8, 1], [11, 1]], 17/202752], [[[1, 5], [2, 4], [3, 1], [8, 1], [22, 1]], 1/18432], [[[1, 5], [2, 4], [3, 1], [8, 2], [9, 1]], 1/221184], [[[1, 5], [2, 4], [3, 1], [9, 1], [16, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [10, 1], [11, 1]], 1/5280], [[[1, 5], [2, 4], [3, 1], [10, 1], [22, 1]], 97/1520640], [[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 1/67200], [[[1, 5], [2, 4], [3, 2], [4, 1], [11, 1]], 19/152064], [[[1, 5], [2, 4], [3, 2], [4, 1], [22, 1]], 7/152064], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 269/44236800], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 299/17915904], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 275/1769472], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/230400], [[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 1/36864], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 103/7962624], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 173/13934592], [[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 2311/23887872], [[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 5/258048], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 13/3317760], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 373/31850496], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 119/5308416], [[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 1/221184], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 19/10616832], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 1/51840], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/7200], [[[1, 5], [2, 4], [3, 2], [5, 1], [15, 1]], 11/184320], [[[1, 5], [2, 4], [3, 2], [5, 1], [16, 1]], 1/46080], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 179/2073600], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 1/614400], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 167/3456000], [[[1, 5], [2, 4], [3, 2], [6, 1], [11, 1]], 35/114048], [[[1, 5], [2, 4], [3, 2], [6, 1], [22, 1]], 1/25344], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 1/73728], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 1/25600], [[[1, 5], [2, 4], [3, 2], [6, 2], [16, 1]], 1/6912], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 59/870912], [[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 7/373248], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 151/2612736], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 53/373248], [[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 1/746496], [[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 337/2322432], [[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 61/338688], [[[1, 5], [2, 4], [3, 2], [9, 1], [14, 1]], 1/8064], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 7/4147200], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 29/559872], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/110592], [[[1, 5], [2, 4], [3, 3], [4, 1], [16, 1]], 1/82944], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 31/497664], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 485/55738368], [[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 97/884736], [[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 1/145152], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 17/5971968], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 79/2654208], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/55296], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 581/191102976], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/19440], [[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 37/8709120], [[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 19/1244160], [[[1, 5], [2, 4], [3, 3], [5, 1], [14, 1]], 1/181440], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 19/2073600], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 1/442368], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/230400], [[[1, 5], [2, 4], [3, 3], [6, 1], [16, 1]], 1/18432], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 29/124416], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 5/13824], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 19/290304], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 1/41472], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 1/27648], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 7/155520], [[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/774144], [[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 43/2177280], [[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 7/331776], [[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 5/62208], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 19/279936], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 5/2612736], [[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 13/746496], [[[1, 5], [2, 4], [3, 4], [4, 1], [14, 1]], 1/580608], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 1/4976640], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 485/17915904], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 59/15925248], [[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 1/1658880], [[[1, 5], [2, 4], [3, 4], [4, 2], [12, 1]], 7/8957952], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 23/7962624], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 61/1399680], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 31/6220800], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 95/7838208], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 113/1119744], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 1/108864], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/62208], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 11/466560], [[[1, 5], [2, 4], [3, 4], [8, 1], [10, 1]], 1/2488320], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 151/5598720], [[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 11/18662400], [[[1, 5], [2, 4], [3, 5], [4, 1], [12, 1]], 1/33592320], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/331776], [[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 1/22394880], [[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 1/233280], [[[1, 5], [2, 4], [4, 1], [5, 1], [11, 1]], 179/737280], [[[1, 5], [2, 4], [4, 1], [5, 1], [22, 1]], 5/33792], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 19/179200], [[[1, 5], [2, 4], [4, 1], [5, 2], [14, 1]], 1/16800], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 61/2304000], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 13/301056], [[[1, 5], [2, 4], [4, 1], [6, 1], [13, 1]], 1/4608], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 31/903168], [[[1, 5], [2, 4], [4, 1], [6, 1], [26, 1]], 901/9584640], [[[1, 5], [2, 4], [4, 1], [6, 2], [11, 1]], 23/760320], [[[1, 5], [2, 4], [4, 1], [6, 2], [22, 1]], 7/304128], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/21504], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 2]], 1/38400], [[[1, 5], [2, 4], [4, 1], [7, 1], [16, 1]], 5/43008], [[[1, 5], [2, 4], [4, 1], [8, 1], [11, 1]], 23/67584], [[[1, 5], [2, 4], [4, 1], [8, 1], [22, 1]], 1/11264], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 3/114688], [[[1, 5], [2, 4], [4, 1], [10, 1], [11, 1]], 73/422400], [[[1, 5], [2, 4], [4, 1], [10, 1], [22, 1]], 287/4505600], [[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/43008], [[[1, 5], [2, 4], [4, 1], [11, 1], [12, 1]], 103/760320], [[[1, 5], [2, 4], [4, 1], [12, 1], [22, 1]], 23/304128], [[[1, 5], [2, 4], [4, 1], [14, 1], [16, 1]], 1/14336], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 1/4976640], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 9/20480], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 3257/12288000], [[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 1/15360], [[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/460800], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 23/122880], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 3049/6144000], [[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 17/460800], [[[1, 5], [2, 4], [4, 2], [6, 1], [11, 1]], 1/6336], [[[1, 5], [2, 4], [4, 2], [6, 1], [22, 1]], 133/1622016], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 19/884736], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 17/44236800], [[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 1/73728], [[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 17/55738368], [[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 47/2654208], [[[1, 5], [2, 4], [4, 2], [6, 4], [12, 1]], 1/8957952], [[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 1075/1376256], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 31/2457600], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 353/589824], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 5/32768], [[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 1/20480], [[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 1/57600], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 2887/30965760], [[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 5/86016], [[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 23/1382400], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 305/2359296], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 1/1105920], [[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 1/73728], [[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 1/129024], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 19/9289728], [[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 155/5308416], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 1/884736], [[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1/59719680], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 545/1376256], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/20480], [[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 5/86016], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 565/2752512], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 131/6881280], [[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 1/36864], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 167/1769472], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 61/1310720], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 1/61440], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 37/1548288], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 17/6193152], [[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 29/3981312], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 89/10616832], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/1327104], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 481/8847360], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 1/8192], [[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 1/1105920], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 1/110592], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 7/17694720], [[[1, 5], [2, 4], [5, 1], [6, 1], [11, 1]], 29/304128], [[[1, 5], [2, 4], [5, 1], [6, 1], [22, 1]], 7/63360], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 23/2304000], [[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/2177280], [[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 7/311040], [[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 239/376320], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 43/512000], [[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 1/49152], [[[1, 5], [2, 4], [5, 1], [10, 1], [16, 1]], 1/3840], [[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/22400], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 19/172800], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 161/1536000], [[[1, 5], [2, 4], [6, 1], [8, 1], [11, 1]], 19/253440], [[[1, 5], [2, 4], [6, 1], [8, 1], [22, 1]], 37/1351680], [[[1, 5], [2, 4], [6, 1], [10, 1], [11, 1]], 1/12672], [[[1, 5], [2, 4], [6, 1], [10, 1], [22, 1]], 71/2027520], [[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/806400], [[[1, 5], [2, 4], [6, 1], [10, 2], [18, 1]], 7/345600], [[[1, 5], [2, 4], [6, 1], [14, 1], [16, 1]], 1/64512], [[[1, 5], [2, 4], [6, 1], [16, 1], [18, 1]], 1/27648], [[[1, 5], [2, 4], [6, 2], [7, 1], [14, 1]], 11/193536], [[[1, 5], [2, 4], [6, 2], [7, 1], [18, 1]], 1/24192], [[[1, 5], [2, 4], [6, 2], [8, 1], [10, 2]], 7/18432000], [[[1, 5], [2, 4], [6, 2], [10, 1], [30, 1]], 1/36864], [[[1, 5], [2, 4], [6, 2], [14, 1], [18, 1]], 1/36864], [[[1, 5], [2, 4], [6, 3], [8, 1], [14, 1]], 1/3317760], [[[1, 5], [2, 4], [6, 3], [8, 1], [18, 1]], 7/3317760], [[[1, 5], [2, 4], [6, 3], [10, 1], [14, 1]], 1/8709120], [[[1, 5], [2, 4], [6, 3], [10, 1], [18, 1]], 1/1244160], [[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 83/344064], [[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 191/501760], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 811/179159040], [[[1, 5], [2, 6], [3, 1], [4, 1], [11, 1]], 37/737280], [[[1, 5], [2, 6], [3, 1], [4, 1], [22, 1]], 821/8110080], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 127/14745600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 1667/47775744], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 2387/23592960], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 9/204800], [[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 1/49152], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 13709/286654464], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 157/5308416], [[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 185/3981312], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 2329/37158912], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 161/23592960], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 2915/63700992], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 4033/42467328], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 83/4423680], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 7/663552], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 1495/84934656], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 23/1244160], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 1093/6912000], [[[1, 5], [2, 6], [3, 1], [5, 1], [15, 1]], 481/66355200], [[[1, 5], [2, 6], [3, 1], [5, 1], [16, 1]], 1/368640], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 37/1658880], [[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 1/864000], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 2081/27648000], [[[1, 5], [2, 6], [3, 1], [6, 1], [11, 1]], 1313/18247680], [[[1, 5], [2, 6], [3, 1], [6, 1], [22, 1]], 413/2280960], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 1/442368], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 79/1327104], [[[1, 5], [2, 6], [3, 1], [6, 2], [16, 1]], 1/27648], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 1/20736], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 8095/125411328], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 967/5971968], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 59/11943936], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 167/22394880], [[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 3361/278691840], [[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 5191/54190080], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 13/1843200], [[[1, 5], [2, 6], [3, 1], [9, 1], [14, 1]], 1/48384], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 41/73728000], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 1247/8957952], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 37/5898240], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/138240], [[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 1/221184], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 30863/143327232], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 181/12386304], [[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 293/5898240], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 137/7741440], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 257/53084160], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 4817/31850496], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 275/7077888], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 11/1105920], [[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 1/165888], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 359/15925248], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 7/82944], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 61/58060800], [[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 353/24883200], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 2107/165888000], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 107/2764800], [[[1, 5], [2, 6], [3, 2], [6, 1], [16, 1]], 1/55296], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 41/290304], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 11/373248], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 971/3483648], [[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 59/1492992], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 233/3981312], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1319/7464960], [[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 1/725760], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/161280], [[[1, 5], [2, 6], [3, 2], [8, 1], [9, 1]], 397/39813120], [[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 13/414720], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 13/967680], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 565/2985984], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 43/278691840], [[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 473/39813120], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 17/79626240], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 11809/95551488], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 7/1327104], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 1/207360], [[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 1/1492992], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 323/21233664], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 853/14929920], [[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 11/49766400], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 257/99532800], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 97/9953280], [[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 329/9953280], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 1/36288], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 49/1327104], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 101/1244160], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 1/59719680], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 19/663552], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 7/159252480], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 1/5971968], [[[1, 5], [2, 6], [3, 4], [4, 1], [12, 1]], 1/17915904], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 311/71663616], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 7/22394880], [[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 13/29859840], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/186624], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 7/179159040], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 25/5971968], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 157/4915200], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 14309/36864000], [[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 1/61440], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/172800], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 2083/73728000], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 8339/36864000], [[[1, 5], [2, 6], [4, 1], [5, 2], [12, 1]], 1/276480], [[[1, 5], [2, 6], [4, 1], [6, 1], [11, 1]], 1801/24330240], [[[1, 5], [2, 6], [4, 1], [6, 1], [22, 1]], 3749/24330240], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 47/1769472], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 2821/221184000], [[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 1/55296], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 1/124416], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 563/39813120], [[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 319/4423680], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 1/497664], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 23/19906560], [[[1, 5], [2, 6], [4, 1], [6, 4], [12, 1]], 1/1990656], [[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 7517/18063360], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 37/460800], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 193/2621440], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 11/245760], [[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 1/30720], [[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 31/2764800], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 7/622080], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 2957/68812800], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 191/2150400], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 197/7372800], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 3607/14155776], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 19/345600], [[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 5/147456], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 59/1548288], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 349/4644864], [[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 2069/10616832], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 331/7962624], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 73/7962624], [[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 11/2239488], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 103/430080], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 1/10240], [[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 23/774144], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 1873/4128768], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 961/5898240], [[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 61/1105920], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 17/1105920], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 929/5898240], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 27403/106168320], [[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 11/552960], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 751/12386304], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 959/10616832], [[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 6229/53084160], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 2095/14155776], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 5311/159252480], [[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 1/73728], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 4253/11796480], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 149/884736], [[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 1/27648], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 67/4423680], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 18761/106168320], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 12551/424673280], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 1/49152], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1433/9216000], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/129024], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 23/725760], [[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 11/155520], [[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 1/1244160], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 709/33177600], [[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 397/51609600], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 79/537600], [[[1, 5], [2, 6], [5, 1], [8, 1], [14, 1]], 1/184320], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 379/1612800], [[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 1177/6912000], [[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 1777/10838016], [[[1, 5], [2, 6], [6, 1], [7, 1], [18, 1]], 1/24192], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 13/2048000], [[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 1/2949120], [[[1, 5], [2, 6], [6, 1], [10, 1], [16, 1]], 1/73728], [[[1, 5], [2, 6], [6, 1], [10, 1], [30, 1]], 167/14745600], [[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 481/8847360], [[[1, 5], [2, 6], [6, 2], [7, 1], [10, 1]], 1/80640], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 137/15482880], [[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 397/13271040], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 43/2322432], [[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 53/995328], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 37/33177600], [[[1, 5], [2, 6], [7, 1], [8, 1], [10, 1]], 1/430080], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 317/17203200], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1031/2322432000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 16441/286654464], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 53/8257536], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 5111/331776000], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 255899/1911029760], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 2921/1734082560], [[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 7289/2229534720], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 89/4423680], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 1757/1061683200], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 117689/1114767360], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 3751/141557760], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 1991/132710400], [[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 1/414720], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 149281/5096079360], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 1427/74649600], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 1541/4335206400], [[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 6247/11147673600], [[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 13/4838400], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 41/53084160], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 5/7077888], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 28763/530841600], [[[1, 5], [2, 8], [3, 1], [6, 1], [16, 1]], 1/294912], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 181/11612160], [[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 1/995328], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 335957/3344302080], [[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 218377/3344302080], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 6571/477757440], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 56089/895795200], [[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 1/2580480], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/1935360], [[[1, 5], [2, 8], [3, 1], [8, 1], [9, 1]], 11/13271040], [[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 131/43352064], [[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/829440], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 2563/232243200], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 251131/1433272320], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 737/1950842880], [[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 299/159252480], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 227/54190080], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 47/185794560], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 39085/382205952], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 377/92897280], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 151/58060800], [[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 1/3981312], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 4121/318504960], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 1037/66355200], [[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 1/44236800], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 377/88473600], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 73/61931520], [[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 533/238878720], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 803/69672960], [[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 43/13063680], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 1921/111476736], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 20303/199065600], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 43/4180377600], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 60197/3344302080], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 17/79626240], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 583/382205952], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 143/298598400], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 23/53084160], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 109/24883200], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 479/3344302080], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 733/74649600], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 881/619315200], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 359/20070400], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 53/55296000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 793/35389440], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 1727/27648000], [[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 13/2211840], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 127/9289728], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 6553/92897280], [[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 9763/106168320], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1903/79626240], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 5063/199065600], [[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 1/552960], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 2479/247726080], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 391/25804800], [[[1, 5], [2, 8], [4, 1], [7, 1], [12, 1]], 1/3096576], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 3463/55050240], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 38777/412876800], [[[1, 5], [2, 8], [4, 1], [12, 1], [14, 1]], 1873/325140480], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 523/33177600], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 73/2764800], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 158441/1548288000], [[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 1/1105920], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 251/15482880], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 5717/46448640], [[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 26527/371589120], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 14261/106168320], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 44839/530841600], [[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 583/59719680], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 3637/22118400], [[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 2251/185794560], [[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 373/29030400], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 61/5529600], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 27001/141557760], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 57713/637009920], [[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 41/2949120], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 23/25804800], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 257/14515200], [[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 247/21772800], [[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 1/1327104], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 44171/884736000], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 427/24576000], [[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 1/2064384], [[[1, 5], [2, 8], [6, 1], [7, 1], [10, 1]], 1/107520], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 143/12902400], [[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 533/66355200], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 40511/928972800], [[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 72101/2786918400], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 1457/221184000], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 1522973/40131624960], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 263/10404495360], [[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 29/743178240], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 1375/668860416], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 53/440401920], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 503/13762560], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 22643/11890851840], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 19/8601600], [[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 31/557383680], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 3497273/401316249600], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 2651/1393459200], [[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/353894400], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 27443/27869184000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 113/371589120], [[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 1/39813120], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 1573363/140460687360], [[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 1243/1254113280], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 2959/1114767360], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 24167/955514880], [[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 187/696729600], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 61/14863564800], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 208933/13377208320], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 3659/17836277760], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 317/836075520], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 16139/10032906240], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 179/1238630400], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 5491/16721510400], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 161/99532800], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 170057/802632499200], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 3287/1393459200], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 983/1238630400], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 461903/49545216000], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 739/743178240], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 1251079/52022476800], [[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 60659/7431782400], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 26743/1981808640], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 48439/1769472000], [[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 29/46448640], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 7243/707788800], [[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 1103/2090188800], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 2579/1393459200], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 180329/5945425920], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 33959/928972800], [[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 4001/2508226560], [[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 1/18579456], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 17281/2064384000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 551/294912000], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 3083/891813888000], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 1267579/401316249600], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 101107/2354388664320], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 32183/262766592000], [[[1, 5], [2, 12], [3, 1], [4, 1], [12, 1]], 7/14332723200], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 66599/61152952320], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 12973/445906944000], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 184783/2942985830400], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 4625249/4414478745600], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 741949/8828957491200], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 11251/114960384000], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 165541/178362777600], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 1505573/445906944000], [[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 929/30656102400], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 2885963/70631659929600], [[[1, 5], [3, 1], [4, 1], [5, 3], [8, 1]], 1/288000], [[[1, 5], [3, 1], [4, 1], [7, 2], [8, 1]], 1/75264], [[[1, 5], [3, 1], [4, 1], [8, 1], [13, 1]], 5/119808], [[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/12288], [[[1, 5], [3, 1], [4, 2], [5, 1], [11, 1]], 1/33792], [[[1, 5], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 5], [3, 1], [4, 2], [5, 2], [9, 1]], 1/57600], [[[1, 5], [3, 1], [4, 2], [11, 1], [12, 1]], 1/12672], [[[1, 5], [3, 1], [4, 4], [5, 1], [7, 1]], 1/2580480], [[[1, 5], [3, 1], [4, 4], [5, 1], [9, 1]], 1/2211840], [[[1, 5], [3, 1], [5, 1], [7, 1], [8, 2]], 1/53760], [[[1, 5], [3, 1], [5, 1], [7, 1], [15, 1]], 1/3360], [[[1, 5], [3, 1], [5, 1], [8, 2], [9, 1]], 1/46080], [[[1, 5], [3, 2], [4, 1], [8, 1], [11, 1]], 1/25344], [[[1, 5], [3, 2], [4, 2], [5, 1], [15, 1]], 1/46080], [[[1, 5], [3, 2], [4, 2], [5, 2], [12, 1]], 1/172800], [[[1, 5], [3, 2], [4, 2], [7, 1], [9, 1]], 1/193536], [[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/18432], [[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3024], [[[1, 5], [3, 3], [4, 1], [5, 2], [8, 1]], 1/345600], [[[1, 5], [3, 3], [4, 2], [5, 1], [7, 1]], 1/725760], [[[1, 5], [3, 3], [4, 2], [5, 1], [9, 1]], 1/103680], [[[1, 5], [3, 3], [4, 2], [7, 1], [12, 1]], 1/217728], [[[1, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 1/31104], [[[1, 5], [3, 4], [4, 1], [7, 1], [8, 1]], 1/435456], [[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 1/62208], [[[1, 5], [4, 1], [5, 1], [8, 1], [11, 1]], 1/168960], [[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/10240], [[[1, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 19/2304000], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/150528], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 1/98304], [[[1, 6], [2, 1], [3, 1], [4, 2], [13, 1]], 29/1064960], [[[1, 6], [2, 1], [3, 1], [4, 3], [11, 1]], 19/811008], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 1/5529600], [[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 1/4128768], [[[1, 6], [2, 1], [3, 1], [4, 5], [9, 1]], 1/5308416], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/5880], [[[1, 6], [2, 1], [3, 1], [5, 1], [13, 1]], 77/299520], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 2]], 1/115200], [[[1, 6], [2, 1], [3, 1], [5, 2], [15, 1]], 13/115200], [[[1, 6], [2, 1], [3, 1], [5, 2], [16, 1]], 1/57600], [[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/288000], [[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 1/12000], [[[1, 6], [2, 1], [3, 1], [7, 1], [11, 1]], 1/3696], [[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/75264], [[[1, 6], [2, 1], [3, 1], [8, 1], [13, 1]], 17/479232], [[[1, 6], [2, 1], [3, 1], [9, 1], [11, 1]], 1/4320], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/86400], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 1/225792], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 1/147456], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 1/7776], [[[1, 6], [2, 1], [3, 2], [4, 1], [13, 1]], 1/19968], [[[1, 6], [2, 1], [3, 2], [4, 2], [11, 1]], 1/50688], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 61/11059200], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 1/147456], [[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 1/4644864], [[[1, 6], [2, 1], [3, 2], [4, 4], [9, 1]], 7/15925248], [[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 1/8847360], [[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 1/7077888], [[[1, 6], [2, 1], [3, 2], [5, 1], [11, 1]], 1/6912], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 11/201600], [[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 7/32400], [[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 1/43200], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/14112], [[[1, 6], [2, 1], [3, 2], [6, 1], [13, 1]], 5/44928], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 2]], 1/96768], [[[1, 6], [2, 1], [3, 2], [7, 1], [16, 1]], 1/48384], [[[1, 6], [2, 1], [3, 2], [8, 1], [11, 1]], 1/25344], [[[1, 6], [2, 1], [3, 2], [8, 2], [9, 1]], 7/331776], [[[1, 6], [2, 1], [3, 2], [9, 1], [16, 1]], 1/41472], [[[1, 6], [2, 1], [3, 3], [4, 1], [11, 1]], 5/228096], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/331776], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 1/110592], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 13/13934592], [[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 19/1990656], [[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 1/19906560], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 2]], 1/414720], [[[1, 6], [2, 1], [3, 3], [5, 1], [15, 1]], 7/103680], [[[1, 6], [2, 1], [3, 3], [5, 1], [16, 1]], 1/103680], [[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/345600], [[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 1/32400], [[[1, 6], [2, 1], [3, 3], [6, 1], [11, 1]], 1/9504], [[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 107/435456], [[[1, 6], [2, 1], [3, 3], [7, 1], [14, 1]], 1/72576], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 1/1036800], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 1/3981312], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/1161216], [[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/165888], [[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 1/4976640], [[[1, 6], [2, 1], [3, 4], [4, 3], [12, 1]], 1/1492992], [[[1, 6], [2, 1], [3, 4], [4, 4], [6, 1]], 1/23887872], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/136080], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/14580], [[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 7/777600], [[[1, 6], [2, 1], [3, 4], [6, 1], [8, 2]], 1/497664], [[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 1/435456], [[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/62208], [[[1, 6], [2, 1], [3, 5], [4, 1], [7, 1]], 1/1306368], [[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 7/559872], [[[1, 6], [2, 1], [3, 5], [4, 1], [14, 1]], 1/3265920], [[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 1/18662400], [[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 11/29859840], [[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 1/5598720], [[[1, 6], [2, 1], [3, 5], [4, 3], [6, 1]], 1/134369280], [[[1, 6], [2, 1], [3, 5], [5, 1], [10, 1]], 1/466560], [[[1, 6], [2, 1], [3, 5], [6, 1], [7, 1]], 1/108864], [[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 11/139968], [[[1, 6], [2, 1], [3, 5], [8, 1], [10, 1]], 1/4665600], [[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 1/11197440], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/12544], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 1/122880], [[[1, 6], [2, 1], [4, 1], [5, 1], [13, 1]], 1/8320], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 1/204800], [[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 11/460800], [[[1, 6], [2, 1], [4, 1], [5, 3], [10, 1]], 1/480000], [[[1, 6], [2, 1], [4, 1], [5, 3], [12, 1]], 1/288000], [[[1, 6], [2, 1], [4, 1], [7, 1], [11, 1]], 1/9856], [[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 13/75264], [[[1, 6], [2, 1], [4, 1], [7, 2], [10, 1]], 1/125440], [[[1, 6], [2, 1], [4, 1], [7, 2], [12, 1]], 1/75264], [[[1, 6], [2, 1], [4, 1], [8, 1], [13, 1]], 29/119808], [[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 7/327680], [[[1, 6], [2, 1], [4, 1], [10, 1], [13, 1]], 1/49920], [[[1, 6], [2, 1], [4, 1], [11, 1], [14, 1]], 1/147840], [[[1, 6], [2, 1], [4, 1], [12, 1], [13, 1]], 1/29952], [[[1, 6], [2, 1], [4, 2], [5, 1], [11, 1]], 197/13516800], [[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/76800], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1/172032], [[[1, 6], [2, 1], [4, 2], [8, 1], [11, 1]], 1/122880], [[[1, 6], [2, 1], [4, 2], [11, 1], [12, 1]], 1/23040], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 1/81920], [[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 1/153600], [[[1, 6], [2, 1], [4, 3], [5, 2], [12, 1]], 1/76800], [[[1, 6], [2, 1], [4, 3], [6, 1], [11, 1]], 1/6082560], [[[1, 6], [2, 1], [4, 3], [7, 1], [14, 1]], 1/1032192], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 43/1966080], [[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 1/147456], [[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 1/2949120], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 1/5898240], [[[1, 6], [2, 1], [5, 1], [7, 1], [8, 2]], 1/61440], [[[1, 6], [2, 1], [5, 1], [7, 1], [16, 1]], 1/53760], [[[1, 6], [2, 1], [5, 1], [8, 1], [11, 1]], 1/675840], [[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 1/11200], [[[1, 6], [2, 1], [5, 3], [6, 1], [8, 1]], 1/576000], [[[1, 6], [2, 1], [6, 1], [7, 2], [8, 1]], 1/150528], [[[1, 6], [2, 1], [6, 1], [8, 1], [13, 1]], 1/59904], [[[1, 6], [2, 1], [6, 1], [8, 1], [26, 1]], 1/2396160], [[[1, 6], [2, 1], [8, 1], [10, 1], [11, 1]], 1/211200], [[[1, 6], [2, 1], [8, 1], [10, 1], [22, 1]], 1/3379200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 169/3456000], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 97/451584], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 5/294912], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 3]], 1/13824000], [[[1, 6], [2, 3], [3, 1], [4, 1], [13, 1]], 143/442368], [[[1, 6], [2, 3], [3, 1], [4, 1], [14, 2]], 1/258048], [[[1, 6], [2, 3], [3, 1], [4, 1], [26, 1]], 5/179712], [[[1, 6], [2, 3], [3, 1], [4, 2], [11, 1]], 101/368640], [[[1, 6], [2, 3], [3, 1], [4, 2], [22, 1]], 13/811008], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 319/8294400], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 1627/5898240], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/15925248], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 109/5308416], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 1/262144], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 371/14155776], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 5/884736], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 1/9437184], [[[1, 6], [2, 3], [3, 1], [5, 1], [11, 1]], 41/225280], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 1/2073600], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 41/403200], [[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 23/172800], [[[1, 6], [2, 3], [3, 1], [5, 2], [14, 1]], 1/25200], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 157/3456000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 17/56448], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 3]], 1/2304000], [[[1, 6], [2, 3], [3, 1], [6, 1], [13, 1]], 487/1198080], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 2]], 1/677376], [[[1, 6], [2, 3], [3, 1], [6, 1], [26, 1]], 61/3594240], [[[1, 6], [2, 3], [3, 1], [6, 2], [11, 1]], 31/1140480], [[[1, 6], [2, 3], [3, 1], [6, 2], [22, 1]], 1/228096], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 1/129024], [[[1, 6], [2, 3], [3, 1], [7, 1], [16, 1]], 1/16128], [[[1, 6], [2, 3], [3, 1], [8, 1], [11, 1]], 79/811008], [[[1, 6], [2, 3], [3, 1], [8, 1], [22, 1]], 1/67584], [[[1, 6], [2, 3], [3, 1], [8, 2], [9, 1]], 1/110592], [[[1, 6], [2, 3], [3, 1], [9, 1], [16, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [10, 1], [11, 1]], 31/316800], [[[1, 6], [2, 3], [3, 1], [10, 1], [22, 1]], 7/1689600], [[[1, 6], [2, 3], [3, 2], [4, 1], [11, 1]], 1/4752], [[[1, 6], [2, 3], [3, 2], [4, 1], [22, 1]], 1/50688], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 5/98304], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 187/884736], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 1/460800], [[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 1/73728], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 11/7962624], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 41/1990656], [[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 2131/23887872], [[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 1/86016], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 29/3538944], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 169/127401984], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 29/1179648], [[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 1/110592], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 1/884736], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 1/368640], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/28800], [[[1, 6], [2, 3], [3, 2], [5, 1], [15, 1]], 11/184320], [[[1, 6], [2, 3], [3, 2], [5, 1], [16, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 109/2073600], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 61/5529600], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 161/1152000], [[[1, 6], [2, 3], [3, 2], [6, 1], [11, 1]], 5/12672], [[[1, 6], [2, 3], [3, 2], [6, 1], [22, 1]], 1/152064], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 7/884736], [[[1, 6], [2, 3], [3, 2], [6, 2], [10, 2]], 1/1036800], [[[1, 6], [2, 3], [3, 2], [6, 2], [16, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 5/870912], [[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 1/373248], [[[1, 6], [2, 3], [3, 2], [6, 3], [14, 1]], 1/435456], [[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 1/186624], [[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 737/2322432], [[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 65/338688], [[[1, 6], [2, 3], [3, 2], [9, 1], [14, 1]], 1/10368], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 13/829440], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 13/663552], [[[1, 6], [2, 3], [3, 3], [4, 1], [16, 1]], 1/62208], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 5/248832], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 589/27869184], [[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 215/1327104], [[[1, 6], [2, 3], [3, 3], [4, 2], [14, 1]], 1/108864], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 197/29859840], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 437/23887872], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 91/3981312], [[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 1/248832], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 1613/573308928], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/155520], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 29/1451520], [[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 7/69120], [[[1, 6], [2, 3], [3, 3], [5, 1], [14, 1]], 1/90720], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 419/6220800], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 1/147456], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/691200], [[[1, 6], [2, 3], [3, 3], [6, 1], [16, 1]], 7/165888], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 1837/7838208], [[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 97/373248], [[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/290304], [[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/124416], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 1/82944], [[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 85/6967296], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 11/435456], [[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 49/995328], [[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 7/103680], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/62208], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 1/81648], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 7/82944], [[[1, 6], [2, 3], [3, 4], [4, 1], [14, 1]], 5/1741824], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 53/9953280], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 89/5971968], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 241/15925248], [[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 1/1658880], [[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 1/746496], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 95/23887872], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 143/1399680], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/622080], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 13/691200], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 19/290304], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 35/124416], [[[1, 6], [2, 3], [3, 4], [6, 1], [14, 1]], 1/108864], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/62208], [[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 1/233280], [[[1, 6], [2, 3], [3, 4], [8, 1], [10, 1]], 1/829440], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 1/1866240], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 161/5598720], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/497664], [[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 13/18662400], [[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 7/33592320], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/248832], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 23/3499200], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 7/2488320], [[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 31/6998400], [[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 1/349920], [[[1, 6], [2, 3], [4, 1], [5, 1], [11, 1]], 2419/8110080], [[[1, 6], [2, 3], [4, 1], [5, 1], [22, 1]], 1/33792], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 1/5120], [[[1, 6], [2, 3], [4, 1], [5, 2], [14, 1]], 1/26880], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 37/2304000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 13/516096], [[[1, 6], [2, 3], [4, 1], [6, 1], [13, 1]], 1/12288], [[[1, 6], [2, 3], [4, 1], [6, 1], [26, 1]], 43/9584640], [[[1, 6], [2, 3], [4, 1], [6, 2], [11, 1]], 1/253440], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 23/688128], [[[1, 6], [2, 3], [4, 1], [7, 1], [16, 1]], 11/215040], [[[1, 6], [2, 3], [4, 1], [8, 1], [11, 1]], 217/540672], [[[1, 6], [2, 3], [4, 1], [8, 1], [22, 1]], 7/901120], [[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 1/163840], [[[1, 6], [2, 3], [4, 1], [10, 1], [11, 1]], 29/422400], [[[1, 6], [2, 3], [4, 1], [10, 1], [22, 1]], 83/13516800], [[[1, 6], [2, 3], [4, 1], [10, 2], [14, 1]], 1/1075200], [[[1, 6], [2, 3], [4, 1], [11, 1], [12, 1]], 71/760320], [[[1, 6], [2, 3], [4, 1], [12, 1], [22, 1]], 1/101376], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 77/196608], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 373/12288000], [[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 1/61440], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 53/204800], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 1781/6144000], [[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 1/28800], [[[1, 6], [2, 3], [4, 2], [6, 1], [11, 1]], 35/811008], [[[1, 6], [2, 3], [4, 2], [6, 1], [22, 1]], 17/3244032], [[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 813/3211264], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 1133/5898240], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 7/327680], [[[1, 6], [2, 3], [4, 2], [10, 2], [12, 1]], 1/460800], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 397/4423680], [[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 1/61440], [[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 47/5529600], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 29/2359296], [[[1, 6], [2, 3], [4, 3], [6, 2], [18, 1]], 53/15925248], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1577/6881280], [[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 1/143360], [[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 13/258048], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 97/2752512], [[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 53/20643840], [[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 1/258048], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 13/245760], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 1/61440], [[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 1/46080], [[[1, 6], [2, 3], [4, 4], [6, 1], [7, 1]], 11/15482880], [[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 1/6193152], [[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 1/2654208], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 1/10616832], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 1/2949120], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 7/98304], [[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 1/4423680], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 13/7077888], [[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1/17694720], [[[1, 6], [2, 3], [5, 1], [6, 1], [11, 1]], 197/5068800], [[[1, 6], [2, 3], [5, 1], [6, 1], [22, 1]], 1/126720], [[[1, 6], [2, 3], [5, 1], [6, 2], [10, 2]], 1/1382400], [[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 13/30720], [[[1, 6], [2, 3], [5, 1], [8, 1], [10, 2]], 191/9216000], [[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 1/61440], [[[1, 6], [2, 3], [5, 1], [10, 1], [16, 1]], 31/460800], [[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/28800], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/172800], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 137/3072000], [[[1, 6], [2, 3], [6, 1], [8, 1], [11, 1]], 1/21120], [[[1, 6], [2, 3], [6, 1], [8, 1], [22, 1]], 1/184320], [[[1, 6], [2, 3], [6, 1], [10, 1], [11, 1]], 1/28800], [[[1, 6], [2, 3], [6, 1], [10, 1], [22, 1]], 91/30412800], [[[1, 6], [2, 3], [6, 1], [10, 2], [18, 1]], 1/691200], [[[1, 6], [2, 3], [6, 2], [7, 1], [14, 1]], 1/193536], [[[1, 6], [2, 3], [6, 2], [8, 1], [10, 2]], 1/55296000], [[[1, 6], [2, 3], [6, 2], [10, 1], [30, 1]], 31/8294400], [[[1, 6], [2, 3], [6, 2], [14, 1], [18, 1]], 31/34836480], [[[1, 6], [2, 3], [6, 3], [8, 1], [14, 1]], 1/69672960], [[[1, 6], [2, 3], [6, 3], [8, 1], [18, 1]], 1/9953280], [[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 181/1720320], [[[1, 6], [2, 3], [7, 1], [10, 1], [14, 1]], 3/35840], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 7/179159040], [[[1, 6], [2, 5], [3, 1], [4, 1], [11, 1]], 3749/24330240], [[[1, 6], [2, 5], [3, 1], [4, 1], [22, 1]], 1801/24330240], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 19/345600], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 311/71663616], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 3607/14155776], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 197/7372800], [[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 5/147456], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 323/21233664], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 959/10616832], [[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 6229/53084160], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 751/12386304], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 12551/424673280], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 359/15925248], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 18761/106168320], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 67/4423680], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 1/49152], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 1495/84934656], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/186624], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 1/2949120], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 1177/6912000], [[[1, 6], [2, 5], [3, 1], [5, 1], [15, 1]], 167/14745600], [[[1, 6], [2, 5], [3, 1], [5, 1], [16, 1]], 1/73728], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 107/2764800], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 13/2048000], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1433/9216000], [[[1, 6], [2, 5], [3, 1], [6, 1], [11, 1]], 413/2280960], [[[1, 6], [2, 5], [3, 1], [6, 1], [22, 1]], 1313/18247680], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 2107/165888000], [[[1, 6], [2, 5], [3, 1], [6, 2], [16, 1]], 1/55296], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 1/36288], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 97/9953280], [[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 329/9953280], [[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 13/29859840], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 7/22394880], [[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 481/8847360], [[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 1777/10838016], [[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 1/307200], [[[1, 6], [2, 5], [3, 1], [9, 1], [14, 1]], 1/24192], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 2821/221184000], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 19/663552], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 47/1769472], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/172800], [[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 1/55296], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 11809/95551488], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 349/4644864], [[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 2069/10616832], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 59/1548288], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 5311/159252480], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 4817/31850496], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 2095/14155776], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 17/1105920], [[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 1/73728], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 2915/63700992], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 101/1244160], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 43/2322432], [[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 53/995328], [[[1, 6], [2, 5], [3, 2], [5, 1], [14, 1]], 1/80640], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 79/1327104], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 1/442368], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 37/1658880], [[[1, 6], [2, 5], [3, 2], [6, 1], [16, 1]], 1/27648], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 971/3483648], [[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 59/1492992], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 41/290304], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 11/373248], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 49/1327104], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 853/14929920], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 137/15482880], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 23/725760], [[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 397/13271040], [[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 11/155520], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/129024], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 565/2985984], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 563/39813120], [[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 319/4423680], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 1/124416], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 73/7962624], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 30863/143327232], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 331/7962624], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 7/622080], [[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 11/2239488], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 13709/286654464], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1319/7464960], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 37/33177600], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 709/33177600], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 8095/125411328], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 967/5971968], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 1/20736], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 233/3981312], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 7/82944], [[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 1/1244160], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 23/19906560], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 1247/8957952], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 1/497664], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 25/5971968], [[[1, 6], [2, 5], [3, 4], [4, 1], [12, 1]], 1/1990656], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 1667/47775744], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 167/22394880], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 59/11943936], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 23/1244160], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 811/179159040], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 1/5971968], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 11/245760], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 8339/36864000], [[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 1/30720], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/138240], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 37/460800], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 14309/36864000], [[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 31/2764800], [[[1, 6], [2, 5], [4, 1], [6, 1], [11, 1]], 821/8110080], [[[1, 6], [2, 5], [4, 1], [6, 1], [22, 1]], 37/737280], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 37/5898240], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 41/73728000], [[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 1/221184], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 43/278691840], [[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 473/39813120], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 7/159252480], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 1/59719680], [[[1, 6], [2, 5], [4, 1], [6, 4], [12, 1]], 1/17915904], [[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 7517/18063360], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 2083/73728000], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 193/2621440], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 157/4915200], [[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 1/61440], [[[1, 6], [2, 5], [4, 1], [10, 2], [12, 1]], 1/276480], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 1/207360], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 961/5898240], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 1/10240], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 9/204800], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 2387/23592960], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 127/14745600], [[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 1/49152], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 137/7741440], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 181/12386304], [[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 293/5898240], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 7/1327104], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 17/79626240], [[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 1/1492992], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 1873/4128768], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 191/2150400], [[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 61/1105920], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 103/430080], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 2957/68812800], [[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 23/774144], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 11/1105920], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 4253/11796480], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 27403/106168320], [[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 1/27648], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 2329/37158912], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 157/5308416], [[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 185/3981312], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 275/7077888], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 257/53084160], [[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 1/165888], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 929/5898240], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 149/884736], [[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 11/552960], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 83/4423680], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 4033/42467328], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 161/23592960], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 7/663552], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 2081/27648000], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 13/967680], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/161280], [[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 13/414720], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 257/99532800], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 317/17203200], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 379/1612800], [[[1, 6], [2, 5], [5, 1], [8, 1], [14, 1]], 1/430080], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 79/537600], [[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 13/1843200], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 1093/6912000], [[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 5191/54190080], [[[1, 6], [2, 5], [6, 1], [7, 1], [18, 1]], 1/48384], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 1/864000], [[[1, 6], [2, 5], [6, 1], [10, 1], [16, 1]], 1/368640], [[[1, 6], [2, 5], [6, 1], [10, 1], [30, 1]], 481/66355200], [[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 3361/278691840], [[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 1/725760], [[[1, 6], [2, 5], [6, 2], [8, 1], [18, 1]], 397/39813120], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 61/58060800], [[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 353/24883200], [[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 11/49766400], [[[1, 6], [2, 5], [7, 1], [8, 1], [10, 1]], 1/184320], [[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 397/51609600], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 1873/290304000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 35051/1433272320], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 263/14745600], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 3409/165888000], [[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 1/294912], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 126247/1146617856], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 53/1935360], [[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 1541/53084160], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 269/5160960], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 20599/1061683200], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 5489/35389440], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 17987/141557760], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 2807/66355200], [[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 1/82944], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 418801/5096079360], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 443/14929920], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 2279/464486400], [[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 1129/199065600], [[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 1/193536], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 341/29491200], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 7/11796480], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 102751/2654208000], [[[1, 6], [2, 7], [3, 1], [6, 1], [16, 1]], 43/4423680], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 821/23224320], [[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 1/248832], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 1153/17694720], [[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 9277/159252480], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 4613/477757440], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 23891/895795200], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 11/4423680], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 13/1935360], [[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 139/33177600], [[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 37/10321920], [[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 1/103680], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 1051/77414400], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 7229/31850496], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 3053/487710720], [[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 6871/371589120], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 137/11612160], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 1171/176947200], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 17755/63700992], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 1771/53084160], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 1/57600], [[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 5/1990656], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 2663/31850496], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 4649/66355200], [[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 13/26542080], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 1721/88473600], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1391/79626240], [[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 4997/238878720], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 1/32256], [[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 83/14929920], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 19/552960], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 24821/199065600], [[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 1/11059200], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 193/522547200], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 161899/1433272320], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 7/3732480], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 1/552960], [[[1, 6], [2, 7], [3, 3], [4, 1], [12, 1]], 1/8957952], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 171527/5733089280], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1607/298598400], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1271/477757440], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 151/8294400], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 913/286654464], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 1/116640], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 84911/4335206400], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 1067/25804800], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 17/1728000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 1657/58982400], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 3223/110592000], [[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 7/884736], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 881/46448640], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 3103/92897280], [[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 20129/318504960], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 19/1990656], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 3941/597196800], [[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 1/1119744], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 48221/1238630400], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 1037/25804800], [[[1, 6], [2, 7], [4, 1], [7, 1], [12, 1]], 25/9289728], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 55289/825753600], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 5389/82575360], [[[1, 6], [2, 7], [4, 1], [12, 1], [14, 1]], 281/46448640], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 61/2211840], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 199/1843200], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 196613/884736000], [[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 1/138240], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 1553/30965760], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 11353/123863040], [[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 107/1474560], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 3571/35389440], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 19883/530841600], [[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 313/39813120], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 1423/7372800], [[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 173/6635520], [[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 11/737280], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 421/11059200], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 33677/141557760], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 979/14155776], [[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 517/26542080], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 71/11059200], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 1/53760], [[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 71/4147200], [[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 1/1843200], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 4657/106168320], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 47/1382400], [[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 13/6193152], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 1/107520], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 451/58060800], [[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 11771/1393459200], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 10067/464486400], [[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 2797/159252480], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 1861/663552000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 902939/16052649984], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 457/770703360], [[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 32789/44590694400], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 23339/3344302080], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 6881/4246732800], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 626221/6688604160], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 91843/7431782400], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 9481/928972800], [[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 17/39813120], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 14563/330301440], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 1889/232243200], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 1/14155776], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 627383/111476736000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 4945/2080899072], [[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 11/19906560], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 129053/6502809600], [[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 101/33177600], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 1177/199065600], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 2695799/83607552000], [[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 17/30965760], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 7919/44590694400], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 91069/1486356480], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 17293/11890851840], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 523/309657600], [[[1, 6], [2, 9], [3, 2], [4, 1], [12, 1]], 1/79626240], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 751/55738368], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 3239/2477260800], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 173/123863040], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 653/99532800], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 85213/40131624960], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 1403/199065600], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 49129/9909043200], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 2325089/74317824000], [[[1, 6], [2, 9], [4, 1], [5, 1], [12, 1]], 1/22118400], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 727/148635648], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 38981/1238630400], [[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 27439/1857945600], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 12923/707788800], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 400903/15925248000], [[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 1/1105920], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 58873/3096576000], [[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 239/232243200], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 551/61931520], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 91787/1415577600], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 44083/849346560], [[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 1957/557383680], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1/4915200], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 4189/221184000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 47177/18579456000], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 263/6606028800], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 908807/80263249920], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 13549/39636172800], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 163601/229920768000], [[[1, 6], [2, 11], [3, 1], [4, 1], [12, 1]], 11/3715891200], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 41294591/6421059993600], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 317897/1337720832000], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 102329/334430208000], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 6361717/2006581248000], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 1241/1651507200], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 40673/66886041600], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 76019/25480396800], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 10053409/1337720832000], [[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 103/1003290624], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 121868723/417368899584000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 241/3456000], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 1/7056], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 11/1474560], [[[1, 7], [2, 2], [3, 1], [4, 1], [13, 1]], 1321/9584640], [[[1, 7], [2, 2], [3, 1], [4, 1], [14, 2]], 1/3612672], [[[1, 7], [2, 2], [3, 1], [4, 1], [26, 1]], 1/479232], [[[1, 7], [2, 2], [3, 1], [4, 2], [11, 1]], 1583/16220160], [[[1, 7], [2, 2], [3, 1], [4, 2], [22, 1]], 1/811008], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 29/1843200], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 209/11796480], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 7/884736], [[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 133/26542080], [[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 7/35389440], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 11/70778880], [[[1, 7], [2, 2], [3, 1], [5, 1], [11, 1]], 347/2027520], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 19/134400], [[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1/9216], [[[1, 7], [2, 2], [3, 1], [5, 2], [14, 1]], 1/100800], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 1/51200], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 11/75264], [[[1, 7], [2, 2], [3, 1], [6, 1], [13, 1]], 49/399360], [[[1, 7], [2, 2], [3, 1], [6, 1], [26, 1]], 1/3594240], [[[1, 7], [2, 2], [3, 1], [6, 2], [11, 1]], 7/2280960], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 1/129024], [[[1, 7], [2, 2], [3, 1], [7, 1], [16, 1]], 1/60480], [[[1, 7], [2, 2], [3, 1], [8, 1], [11, 1]], 79/2027520], [[[1, 7], [2, 2], [3, 1], [8, 2], [9, 1]], 1/184320], [[[1, 7], [2, 2], [3, 1], [9, 1], [16, 1]], 11/1451520], [[[1, 7], [2, 2], [3, 1], [10, 1], [11, 1]], 7/633600], [[[1, 7], [2, 2], [3, 1], [10, 1], [22, 1]], 1/5068800], [[[1, 7], [2, 2], [3, 2], [4, 1], [11, 1]], 103/760320], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1073/22118400], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 703/8847360], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/73728], [[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 571/26542080], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 269/53084160], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 5/42467328], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 37/3538944], [[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 1/221184], [[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 1/10616832], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 1/221184], [[[1, 7], [2, 2], [3, 2], [5, 1], [15, 1]], 1/36864], [[[1, 7], [2, 2], [3, 2], [5, 1], [16, 1]], 11/691200], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 1/230400], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 47/3686400], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 881/6912000], [[[1, 7], [2, 2], [3, 2], [6, 1], [11, 1]], 67/380160], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 1/884736], [[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 655/2322432], [[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 31/451584], [[[1, 7], [2, 2], [3, 2], [9, 1], [14, 1]], 1/72576], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 29/829440], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 11/995328], [[[1, 7], [2, 2], [3, 3], [4, 1], [16, 1]], 1/248832], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 139/9289728], [[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 11/147456], [[[1, 7], [2, 2], [3, 3], [4, 2], [14, 1]], 1/435456], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 19/3317760], [[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 1/11943936], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 7/995328], [[[1, 7], [2, 2], [3, 3], [4, 3], [12, 1]], 1/186624], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 95/573308928], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 11/207360], [[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 107/622080], [[[1, 7], [2, 2], [3, 3], [5, 1], [14, 1]], 1/181440], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 113/1244160], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 7/1327104], [[[1, 7], [2, 2], [3, 3], [6, 1], [16, 1]], 1/165888], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 445/7838208], [[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 13/373248], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 205/13934592], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 13/2177280], [[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 23/663552], [[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/103680], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 41/2612736], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 197/2239488], [[[1, 7], [2, 2], [3, 4], [4, 1], [14, 1]], 1/746496], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 59/9953280], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/221184], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 581/47775744], [[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 1/4976640], [[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 1/746496], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 403/214990848], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 41/699840], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/311040], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 313/18662400], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 185/2612736], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 79/373248], [[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 1/746496], [[[1, 7], [2, 2], [3, 4], [8, 1], [10, 1]], 7/7464960], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 7/2332800], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 1/559872], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 1/233280], [[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 1/6220800], [[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 1/3732480], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 1/746496], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 121/6998400], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 7/2488320], [[[1, 7], [2, 2], [3, 5], [6, 1], [10, 1]], 1/6998400], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 49/16796160], [[[1, 7], [2, 2], [4, 1], [5, 1], [11, 1]], 5011/40550400], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 29/215040], [[[1, 7], [2, 2], [4, 1], [5, 2], [14, 1]], 1/252000], [[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 13/13824000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/258048], [[[1, 7], [2, 2], [4, 1], [6, 1], [13, 1]], 1/89856], [[[1, 7], [2, 2], [4, 1], [6, 1], [26, 1]], 43/201277440], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 9/1146880], [[[1, 7], [2, 2], [4, 1], [7, 1], [16, 1]], 1/215040], [[[1, 7], [2, 2], [4, 1], [8, 1], [11, 1]], 1283/8110080], [[[1, 7], [2, 2], [4, 1], [8, 1], [22, 1]], 1/2703360], [[[1, 7], [2, 2], [4, 1], [8, 2], [14, 1]], 1/3440640], [[[1, 7], [2, 2], [4, 1], [10, 1], [11, 1]], 13/844800], [[[1, 7], [2, 2], [4, 1], [10, 1], [22, 1]], 43/283852800], [[[1, 7], [2, 2], [4, 1], [11, 1], [12, 1]], 13/506880], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 253/2949120], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 49/576000], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 211/7372800], [[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 7/460800], [[[1, 7], [2, 2], [4, 2], [6, 1], [11, 1]], 1/270336], [[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 877/48168960], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 71/5898240], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 1/983040], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 169/11468800], [[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 1/10368000], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 3/917504], [[[1, 7], [2, 2], [4, 3], [7, 1], [12, 1]], 11/645120], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 37/2949120], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 19/44236800], [[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 1/184320], [[[1, 7], [2, 2], [4, 4], [6, 1], [7, 1]], 1/15482880], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 1/98304], [[[1, 7], [2, 2], [5, 1], [6, 1], [11, 1]], 17/5068800], [[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 71/752640], [[[1, 7], [2, 2], [5, 1], [8, 1], [10, 2]], 11/9216000], [[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 1/230400], [[[1, 7], [2, 2], [5, 1], [10, 1], [16, 1]], 1/460800], [[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/201600], [[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 203/46080000], [[[1, 7], [2, 2], [6, 1], [8, 1], [11, 1]], 13/1013760], [[[1, 7], [2, 2], [6, 1], [8, 1], [22, 1]], 1/4055040], [[[1, 7], [2, 2], [6, 1], [10, 1], [11, 1]], 1/316800], [[[1, 7], [2, 2], [6, 1], [10, 1], [22, 1]], 1/30412800], [[[1, 7], [2, 2], [6, 2], [10, 1], [30, 1]], 1/8294400], [[[1, 7], [2, 2], [6, 2], [14, 1], [18, 1]], 1/34836480], [[[1, 7], [2, 2], [7, 1], [8, 1], [14, 1]], 9/573440], [[[1, 7], [2, 2], [7, 1], [10, 1], [14, 1]], 1/215040], [[[1, 7], [2, 4], [3, 1], [4, 1], [11, 1]], 4633/24330240], [[[1, 7], [2, 4], [3, 1], [4, 1], [22, 1]], 331/24330240], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 5789/44236800], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/143327232], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 3577/14155776], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 7/3686400], [[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 11/737280], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 53/63700992], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 5569/55738368], [[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 1271/13063680], [[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 241/20643840], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 13283/424673280], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 197/159252480], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 721/6635520], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 1/491520], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 7/442368], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 959/212336640], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 1/589824], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 79/1536000], [[[1, 7], [2, 4], [3, 1], [5, 1], [15, 1]], 37/4915200], [[[1, 7], [2, 4], [3, 1], [5, 1], [16, 1]], 1/61440], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 1679/82944000], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1/76800], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 947/5529600], [[[1, 7], [2, 4], [3, 1], [6, 1], [11, 1]], 3257/18247680], [[[1, 7], [2, 4], [3, 1], [6, 1], [22, 1]], 7/1013760], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 17/18432000], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 5/870912], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 19/41803776], [[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 73/29859840], [[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 1/59719680], [[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 16717/185794560], [[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 6631/54190080], [[[1, 7], [2, 4], [3, 1], [8, 1], [10, 2]], 1/1843200], [[[1, 7], [2, 4], [3, 1], [9, 1], [14, 1]], 1/40320], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 2699/44236800], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 13/17915904], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 127/3538944], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/691200], [[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 1/55296], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 355/31850496], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 4799/37158912], [[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 4441/17694720], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 37/1548288], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 23831/398131200], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 479/11796480], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 2947/17694720], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/122880], [[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 5/331776], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 887/31850496], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 137/6220800], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 101/1658880], [[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 55/497664], [[[1, 7], [2, 4], [3, 2], [5, 1], [14, 1]], 1/48384], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 167/1327104], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 1/221184], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 7/9216000], [[[1, 7], [2, 4], [3, 2], [6, 1], [16, 1]], 1/46080], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 827/3870720], [[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 97/4976640], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 211/11612160], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 31/4976640], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 131/13271040], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 23/4976640], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 1/48384], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 13/362880], [[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 103/2654208], [[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 83/1555200], [[[1, 7], [2, 4], [3, 2], [10, 1], [14, 1]], 1/645120], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 299/5971968], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 8833/167215104], [[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 1261/7962624], [[[1, 7], [2, 4], [3, 3], [4, 1], [14, 1]], 5/435456], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 3347/79626240], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 16097/143327232], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 119/1327104], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 7/829440], [[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 37/4478976], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 12769/286654464], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 4637/22394880], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 29/4976640], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1541/33177600], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 18607/125411328], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 1519/5971968], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 17/580608], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 103/2654208], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1/38880], [[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 1/622080], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 257/29859840], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 1321/8957952], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 19/1492992], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 17/2985984], [[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 35/26873856], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 137/2654208], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 223/5598720], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 215/17915904], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 59/3732480], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 1993/89579520], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 83/2949120], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 9/163840], [[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 1/51200], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 17/5184000], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 1631/14745600], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 5607/20480000], [[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 139/10368000], [[[1, 7], [2, 4], [4, 1], [6, 1], [11, 1]], 131/2703360], [[[1, 7], [2, 4], [4, 1], [6, 1], [22, 1]], 23/5677056], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 11/8847360], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 43/4644864000], [[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 43/5852528640], [[[1, 7], [2, 4], [4, 1], [6, 3], [18, 1]], 53/92897280], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 1/477757440], [[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 12083/72253440], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 31/12288000], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 6347/247726080], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 11/1228800], [[[1, 7], [2, 4], [4, 1], [10, 2], [12, 1]], 1/2764800], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 193/917504], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 1/33600], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 163/7372800], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 521/23592960], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 1/3686400], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1/1105920], [[[1, 7], [2, 4], [4, 2], [6, 2], [18, 1]], 19/5898240], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 3739/10321920], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 53/2150400], [[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 319/7741440], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 13/322560], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 211/68812800], [[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 1/258048], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/737280], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 8441/29491200], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 54557/530841600], [[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 1/36864], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 2591/185794560], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 155/74317824], [[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 155/31850496], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 17/14155776], [[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 1/1327104], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 353/11796480], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 7/98304], [[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 1/368640], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 7/1228800], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 413/26542080], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 11/14155776], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 1/663552], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 347/27648000], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 1/107520], [[[1, 7], [2, 4], [5, 1], [6, 2], [18, 1]], 1/414720], [[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 31/99532800], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 71/3440640], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 139/806400], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/32256], [[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 49/6912000], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 527/13824000], [[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 97/3870720], [[[1, 7], [2, 4], [6, 1], [8, 1], [10, 2]], 1/18432000], [[[1, 7], [2, 4], [6, 1], [10, 1], [30, 1]], 97/66355200], [[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 97/278691840], [[[1, 7], [2, 4], [6, 2], [8, 1], [14, 1]], 1/15482880], [[[1, 7], [2, 4], [6, 2], [8, 1], [18, 1]], 23/13271040], [[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/58060800], [[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 31/24883200], [[[1, 7], [2, 4], [6, 3], [8, 1], [10, 1]], 1/99532800], [[[1, 7], [2, 4], [7, 1], [8, 1], [10, 1]], 13/3225600], [[[1, 7], [2, 4], [8, 1], [10, 1], [14, 1]], 23/17203200], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 3223/110592000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 913/286654464], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 1657/58982400], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 17/1728000], [[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 7/884736], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 171527/5733089280], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 11353/123863040], [[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 107/1474560], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 1553/30965760], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 979/14155776], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 2663/31850496], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 33677/141557760], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 421/11059200], [[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 517/26542080], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 418801/5096079360], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 151/8294400], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 10067/464486400], [[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 2797/159252480], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 1/107520], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 102751/2654208000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 7/11796480], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 341/29491200], [[[1, 7], [2, 6], [3, 1], [6, 1], [16, 1]], 43/4423680], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 1/32256], [[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 83/14929920], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1391/79626240], [[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 4997/238878720], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1271/477757440], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1607/298598400], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 451/58060800], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 1/53760], [[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 11771/1393459200], [[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 13/6193152], [[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 71/4147200], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 71/11059200], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 161899/1433272320], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 3103/92897280], [[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 20129/318504960], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 881/46448640], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 19883/530841600], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 17755/63700992], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 3571/35389440], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 61/2211840], [[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 313/39813120], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 5489/35389440], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 24821/199065600], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 1861/663552000], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 4657/106168320], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 1153/17694720], [[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 9277/159252480], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 821/23224320], [[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 1/248832], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 19/552960], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 4649/66355200], [[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 1/1843200], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 3941/597196800], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 7229/31850496], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 19/1990656], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 1/116640], [[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 1/1119744], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 126247/1146617856], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 23891/895795200], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 4613/477757440], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 443/14929920], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 35051/1433272320], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 1/552960], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 5389/82575360], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 1037/25804800], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 3409/165888000], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 263/14745600], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 1873/290304000], [[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 1/294912], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 137/11612160], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 3053/487710720], [[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 6871/371589120], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 7/3732480], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 193/522547200], [[[1, 7], [2, 6], [4, 1], [6, 3], [12, 1]], 1/8957952], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 55289/825753600], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 1067/25804800], [[[1, 7], [2, 6], [4, 1], [7, 1], [12, 1]], 281/46448640], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 48221/1238630400], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 84911/4335206400], [[[1, 7], [2, 6], [4, 1], [12, 1], [14, 1]], 25/9289728], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 1/57600], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 1423/7372800], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 196613/884736000], [[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 11/737280], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 269/5160960], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 53/1935360], [[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 1541/53084160], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 1771/53084160], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 1171/176947200], [[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 5/1990656], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 199/1843200], [[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 173/6635520], [[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 1/138240], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 2807/66355200], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 17987/141557760], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 20599/1061683200], [[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 1/82944], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 1051/77414400], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 13/1935360], [[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 1/103680], [[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 1/11059200], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 1721/88473600], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 47/1382400], [[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 37/10321920], [[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 1/193536], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 11/4423680], [[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 139/33177600], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 2279/464486400], [[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 1129/199065600], [[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 13/26542080], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 456713/11466178560], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 241949/39016857600], [[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 105017/19508428800], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 13631/1083801600], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 70243/5945425920], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 105109/955514880], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 90647/2123366400], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 21907/928972800], [[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 79/39813120], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 14941/159252480], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 1369/82944000], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 11/22118400], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1081/66355200], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 893/92897280], [[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 49/18662400], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 211163/11147673600], [[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 8971/2090188800], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 6047/928972800], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 171317/7962624000], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 7/11059200], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 126011/55738368000], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 3206387/26754416640], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 527/88473600], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 23/4423680], [[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 1/6635520], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 3775/63700992], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 15101/1990656000], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 19/4915200], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 841/55296000], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 179327/13377208320], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 59/6635520], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 39439/2654208000], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 4274531/74317824000], [[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 13/33177600], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 5279/464486400], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 647569/31213486080], [[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 689543/52022476800], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 173317/12740198400], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 627523/55738368000], [[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 71/119439360], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 1631509/74317824000], [[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 1/1036800], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 37/1638400], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 308549/4246732800], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 16847/471859200], [[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 61/15925248], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 1/2211840], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 12689/530841600], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 17/10368000], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 18989/59454259200], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 2820757/133772083200], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 110603/71345111040], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 370303/167215104000], [[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 1/66355200], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 63487849/3210529996800], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 162991/148635648000], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 158203/191102976000], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 235883/44590694400], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 3135533/802632499200], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 3827/1857945600], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 2897579/535088332800], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 27759523/3121348608000], [[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 2377/13377208320], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 6390817/5518098432000], [[[1, 7], [3, 1], [4, 1], [8, 1], [11, 1]], 7/1013760], [[[1, 7], [3, 1], [4, 2], [5, 1], [15, 1]], 1/3686400], [[[1, 7], [3, 1], [4, 2], [5, 2], [12, 1]], 1/172800], [[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 1/15482880], [[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 1/294912], [[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 41/483840], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 1/307200], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/193536], [[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/165888], [[[1, 7], [3, 2], [4, 2], [7, 1], [12, 1]], 1/145152], [[[1, 7], [3, 2], [4, 2], [9, 1], [12, 1]], 1/124416], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 13/3483648], [[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 1/165888], [[[1, 7], [3, 3], [4, 2], [5, 1], [12, 1]], 1/311040], [[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/622080], [[[1, 7], [4, 2], [5, 1], [7, 1], [12, 1]], 1/161280], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 79/3456000], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 31/903168], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 1/1474560], [[[1, 8], [2, 1], [3, 1], [4, 1], [13, 1]], 191/9584640], [[[1, 8], [2, 1], [3, 1], [4, 2], [11, 1]], 37/8110080], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 17/5529600], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 1/2359296], [[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 1/23224320], [[[1, 8], [2, 1], [3, 1], [4, 4], [9, 1]], 11/557383680], [[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/35389440], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 1/70778880], [[[1, 8], [2, 1], [3, 1], [5, 1], [11, 1]], 1927/30412800], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 13/161280], [[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 169/5184000], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 11/6912000], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 5/225792], [[[1, 8], [2, 1], [3, 1], [6, 1], [13, 1]], 1/89856], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 2]], 1/483840], [[[1, 8], [2, 1], [3, 1], [7, 1], [16, 1]], 1/967680], [[[1, 8], [2, 1], [3, 1], [8, 1], [11, 1]], 13/4055040], [[[1, 8], [2, 1], [3, 1], [8, 2], [9, 1]], 11/11612160], [[[1, 8], [2, 1], [3, 1], [9, 1], [16, 1]], 1/2903040], [[[1, 8], [2, 1], [3, 2], [4, 1], [11, 1]], 41/1520640], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 853/221184000], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 1/491520], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 31/9289728], [[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 253/79626240], [[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 11/265420800], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 2]], 11/5529600], [[[1, 8], [2, 1], [3, 2], [5, 1], [15, 1]], 31/8294400], [[[1, 8], [2, 1], [3, 2], [5, 1], [16, 1]], 1/691200], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 11/3686400], [[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 37/1382400], [[[1, 8], [2, 1], [3, 2], [6, 1], [11, 1]], 7/380160], [[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 643/6967296], [[[1, 8], [2, 1], [3, 2], [7, 1], [14, 1]], 1/193536], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 29/1382400], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 1/1990656], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 247/92897280], [[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 67/13271040], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 13/6635520], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/884736], [[[1, 8], [2, 1], [3, 3], [4, 3], [12, 1]], 1/746496], [[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/63700992], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 59/1244160], [[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 601/6220800], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 67/2073600], [[[1, 8], [2, 1], [3, 3], [6, 1], [8, 2]], 1/1327104], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 7/1990656], [[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 1/221184], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/186624], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 47/2239488], [[[1, 8], [2, 1], [3, 4], [4, 1], [14, 1]], 1/5225472], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 31/29859840], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 35/47775744], [[[1, 8], [2, 1], [3, 4], [4, 2], [12, 1]], 7/8957952], [[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 1/214990848], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/622080], [[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 11/3732480], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 5/290304], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 11/373248], [[[1, 8], [2, 1], [3, 4], [8, 1], [10, 1]], 1/7464960], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 23/9331200], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 7/2985984], [[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 1/18662400], [[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 1/11197440], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/2985984], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/93312], [[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 1/22394880], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/16796160], [[[1, 8], [2, 1], [4, 1], [5, 1], [11, 1]], 421/40550400], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/43008], [[[1, 8], [2, 1], [4, 1], [5, 2], [14, 1]], 1/4032000], [[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/13824000], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/3612672], [[[1, 8], [2, 1], [4, 1], [6, 1], [13, 1]], 1/1437696], [[[1, 8], [2, 1], [4, 1], [6, 1], [26, 1]], 1/201277440], [[[1, 8], [2, 1], [4, 1], [7, 1], [8, 2]], 1/1720320], [[[1, 8], [2, 1], [4, 1], [8, 1], [11, 1]], 13/811008], [[[1, 8], [2, 1], [4, 1], [10, 1], [11, 1]], 1/844800], [[[1, 8], [2, 1], [4, 1], [10, 1], [22, 1]], 1/283852800], [[[1, 8], [2, 1], [4, 1], [11, 1], [12, 1]], 1/506880], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/737280], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 31/36864000], [[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 11/36864000], [[[1, 8], [2, 1], [4, 2], [5, 2], [12, 1]], 1/432000], [[[1, 8], [2, 1], [4, 2], [7, 1], [14, 1]], 1/6881280], [[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 43/82575360], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 181/103219200], [[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/165888000], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/13762560], [[[1, 8], [2, 1], [4, 3], [7, 1], [12, 1]], 1/645120], [[[1, 8], [2, 1], [4, 4], [5, 1], [10, 1]], 1/176947200], [[[1, 8], [2, 1], [5, 1], [7, 1], [14, 1]], 1/215040], [[[1, 8], [2, 1], [5, 1], [8, 2], [10, 1]], 1/3686400], [[[1, 8], [2, 1], [5, 2], [8, 1], [10, 1]], 1/5760000], [[[1, 8], [2, 1], [6, 1], [8, 1], [11, 1]], 1/1013760], [[[1, 8], [2, 1], [7, 1], [8, 1], [14, 1]], 1/1720320], [[[1, 8], [2, 3], [3, 1], [4, 1], [11, 1]], 1267/12165120], [[[1, 8], [2, 3], [3, 1], [4, 1], [22, 1]], 7/8110080], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 1921/18432000], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 6157/70778880], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 1/7372800], [[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 1/737280], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 8875/222953472], [[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 10739/477757440], [[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 1/983040], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 59/6553600], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 1/79626240], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 293/23592960], [[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 11/2211840], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1/7864320], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 1/491520], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 17/4608000], [[[1, 8], [2, 3], [3, 1], [5, 1], [15, 1]], 73/30965760], [[[1, 8], [2, 3], [3, 1], [5, 1], [16, 1]], 17/2764800], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 11/3317760], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 113/11059200], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 4627/46080000], [[[1, 8], [2, 3], [3, 1], [6, 1], [11, 1]], 5/67584], [[[1, 8], [2, 3], [3, 1], [6, 1], [22, 1]], 1/6082560], [[[1, 8], [2, 3], [3, 1], [6, 2], [10, 2]], 1/165888000], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 1/1741824], [[[1, 8], [2, 3], [3, 1], [6, 3], [14, 1]], 1/69672960], [[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 1/29859840], [[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 42989/650280960], [[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 187/5419008], [[[1, 8], [2, 3], [3, 1], [9, 1], [14, 1]], 11/2540160], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 271/2949120], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 143/8847360], [[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1/207360], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 1/7962624], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 2059/23224320], [[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 44231/371589120], [[[1, 8], [2, 3], [3, 2], [4, 2], [14, 1]], 1/362880], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 13867/398131200], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 12889/6688604160], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 12397/212336640], [[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 1/737280], [[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 11/1327104], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 817/238878720], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 7/6220800], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 1753/19353600], [[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 187/1658880], [[[1, 8], [2, 3], [3, 2], [5, 1], [14, 1]], 11/1209600], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 18611/165888000], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 1/368640], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 1/27648000], [[[1, 8], [2, 3], [3, 2], [6, 1], [16, 1]], 11/2903040], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 961/14929920], [[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 383/104509440], [[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 1/11612160], [[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 1/4976640], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 11/13271040], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 23/1327104], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 41/3628800], [[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 823/39813120], [[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 181/14515200], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 5/1990656], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 10723/167215104], [[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 5371/39813120], [[[1, 8], [2, 3], [3, 3], [4, 1], [14, 1]], 1/272160], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 1591/33177600], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 1583/159252480], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 331/4976640], [[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 1/414720], [[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 1/186624], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 11731/955514880], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 20791/223948800], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 53/6635520], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 671/18432000], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 9119/69672960], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 301/1990656], [[[1, 8], [2, 3], [3, 3], [6, 1], [14, 1]], 1/290304], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 23/2654208], [[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 1/622080], [[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 1/1036800], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 121/5971968], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 661/17915904], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 1817/95551488], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 29/14929920], [[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 35/26873856], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 361/15925248], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 43/699840], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 35/3981312], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 31/11197440], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 691/29859840], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 29/3686400], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1471/258048000], [[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 11/3225600], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/2592000], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 533/7372800], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 12239/184320000], [[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 277/41472000], [[[1, 8], [2, 3], [4, 1], [6, 1], [11, 1]], 229/24330240], [[[1, 8], [2, 3], [4, 1], [6, 1], [22, 1]], 29/170311680], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1/17694720], [[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 1/4644864000], [[[1, 8], [2, 3], [4, 1], [6, 3], [14, 1]], 1/5852528640], [[[1, 8], [2, 3], [4, 1], [6, 3], [18, 1]], 1/55738368], [[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 12643/505774080], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 1/24576000], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 151/49545216], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 79/103219200], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 20683/206438400], [[[1, 8], [2, 3], [4, 2], [5, 1], [14, 1]], 11/5644800], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 37/11059200], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 163/70778880], [[[1, 8], [2, 3], [4, 2], [6, 2], [18, 1]], 43/557383680], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 2917/24084480], [[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 13/2150400], [[[1, 8], [2, 3], [4, 2], [7, 1], [12, 1]], 13/967680], [[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 37/36126720], [[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 43/722534400], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 4681/82575360], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 1681/176947200], [[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 17/1843200], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 1621/1300561920], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 1/393216], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 47/4423680], [[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 11/232243200], [[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 29/1486356480], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 17/27648000], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 13/5806080], [[[1, 8], [2, 3], [5, 1], [6, 3], [10, 1]], 1/99532800], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 107/10321920], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 53/806400], [[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 1/806400], [[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 31/9216000], [[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 61/23040000], [[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 19/7741440], [[[1, 8], [2, 3], [6, 1], [10, 1], [30, 1]], 19/206438400], [[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 19/867041280], [[[1, 8], [2, 3], [6, 2], [8, 1], [18, 1]], 1/13271040], [[[1, 8], [2, 3], [6, 2], [10, 1], [18, 1]], 1/49766400], [[[1, 8], [2, 3], [7, 1], [8, 1], [10, 1]], 23/22579200], [[[1, 8], [2, 3], [8, 1], [10, 1], [14, 1]], 1/17203200], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 1727/27648000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 479/3344302080], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 793/35389440], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 53/55296000], [[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 13/2211840], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 583/382205952], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 5717/46448640], [[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 26527/371589120], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 251/15482880], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 57713/637009920], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 4121/318504960], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 27001/141557760], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 61/5529600], [[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 41/2949120], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 149281/5096079360], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 109/24883200], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 40511/928972800], [[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 72101/2786918400], [[[1, 8], [2, 5], [3, 1], [5, 1], [14, 1]], 1/107520], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 28763/530841600], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 5/7077888], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 41/53084160], [[[1, 8], [2, 5], [3, 1], [6, 1], [16, 1]], 1/294912], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 803/69672960], [[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 43/13063680], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 73/61931520], [[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 533/238878720], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 23/53084160], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 143/298598400], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 143/12902400], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 257/14515200], [[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 533/66355200], [[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 1/2064384], [[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 247/21772800], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 23/25804800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 60197/3344302080], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 6553/92897280], [[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 9763/106168320], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 127/9289728], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 44839/530841600], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 39085/382205952], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 14261/106168320], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 523/33177600], [[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 583/59719680], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 117689/1114767360], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 20303/199065600], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 1457/221184000], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 44171/884736000], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 335957/3344302080], [[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 218377/3344302080], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 181/11612160], [[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 1/995328], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 1921/111476736], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 1037/66355200], [[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 1/1327104], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 5063/199065600], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 251131/1433272320], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1903/79626240], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 733/74649600], [[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 1/552960], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 255899/1911029760], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 56089/895795200], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 6571/477757440], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 1427/74649600], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 16441/286654464], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 38777/412876800], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 391/25804800], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 5111/331776000], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 53/8257536], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1031/2322432000], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 227/54190080], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 737/1950842880], [[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 299/159252480], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 17/79626240], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 43/4180377600], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 3463/55050240], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 359/20070400], [[[1, 8], [2, 5], [4, 1], [7, 1], [12, 1]], 1873/325140480], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 2479/247726080], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 881/619315200], [[[1, 8], [2, 5], [4, 1], [12, 1], [14, 1]], 1/3096576], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 151/58060800], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 3637/22118400], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 158441/1548288000], [[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 373/29030400], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 89/4423680], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 2921/1734082560], [[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 7289/2229534720], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 377/92897280], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 47/185794560], [[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 1/3981312], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 73/2764800], [[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 2251/185794560], [[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 1/1105920], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 1991/132710400], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 3751/141557760], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 1757/1061683200], [[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 1/414720], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 2563/232243200], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/1935360], [[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/829440], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 377/88473600], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 427/24576000], [[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 131/43352064], [[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 13/4838400], [[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 1/2580480], [[[1, 8], [2, 5], [6, 1], [8, 1], [18, 1]], 11/13271040], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 1541/4335206400], [[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 6247/11147673600], [[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 1/44236800], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 179327/13377208320], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 647569/31213486080], [[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 689543/52022476800], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 5279/464486400], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 16847/471859200], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 3775/63700992], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 308549/4246732800], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 37/1638400], [[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 61/15925248], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 14941/159252480], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 841/55296000], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 17/10368000], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 12689/530841600], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 211163/11147673600], [[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 8971/2090188800], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 893/92897280], [[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 49/18662400], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 19/4915200], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 15101/1990656000], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 1/2211840], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 627523/55738368000], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 3206387/26754416640], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 173317/12740198400], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 59/6635520], [[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 71/119439360], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 105109/955514880], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 171317/7962624000], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 6047/928972800], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 1369/82944000], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 456713/11466178560], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 23/4423680], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 1631509/74317824000], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 4274531/74317824000], [[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 1/1036800], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 13631/1083801600], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 241949/39016857600], [[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 105017/19508428800], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 527/88473600], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 126011/55738368000], [[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 1/6635520], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 39439/2654208000], [[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 13/33177600], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 21907/928972800], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 90647/2123366400], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 70243/5945425920], [[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 79/39813120], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 7/11059200], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1081/66355200], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 11/22118400], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 1694069/891813888000], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 251339/11560550400], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 23093/5662310400], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 1747/442368000], [[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 19/278691840], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 6073373/178362777600], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 465557/148635648000], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 731/550502400], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 33419/6370099200], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 11669989/936404582400], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 6859/1769472000], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 89903/14863564800], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 17729657/3121348608000], [[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 233/1486356480], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 25153159/9364045824000], [[[1, 9], [2, 2], [3, 1], [4, 1], [11, 1]], 559/24330240], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 899/44236800], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 3889/495452160], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 181/61931520], [[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 1/1032192], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 131/106168320], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 37/35389440], [[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 1/2211840], [[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 1/424673280], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 17/22118400], [[[1, 9], [2, 2], [3, 1], [5, 1], [15, 1]], 1/3440640], [[[1, 9], [2, 2], [3, 1], [5, 1], [16, 1]], 29/38707200], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 1/5184000], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 1/384000], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 3131/138240000], [[[1, 9], [2, 2], [3, 1], [6, 1], [11, 1]], 73/6082560], [[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 13933/650280960], [[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 11/3612672], [[[1, 9], [2, 2], [3, 1], [9, 1], [14, 1]], 1/5080320], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 727/14745600], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 19/10616832], [[[1, 9], [2, 2], [3, 2], [4, 1], [16, 1]], 1/3317760], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 1271/61931520], [[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 6217/371589120], [[[1, 9], [2, 2], [3, 2], [4, 2], [14, 1]], 1/5806080], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 1021/265420800], [[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 1/418037760], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 49/21233664], [[[1, 9], [2, 2], [3, 2], [4, 3], [12, 1]], 1/622080], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 47/3344302080], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 1189/19353600], [[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 1243/24883200], [[[1, 9], [2, 2], [3, 2], [5, 1], [14, 1]], 1/1209600], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 6161/165888000], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 11/23224320], [[[1, 9], [2, 2], [3, 2], [6, 1], [16, 1]], 1/5806080], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 47/7464960], [[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 13/52254720], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 13/2903040], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 1/1036800], [[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 113/30965760], [[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 13/14515200], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 24667/836075520], [[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 6859/167215104], [[[1, 9], [2, 2], [3, 3], [4, 1], [14, 1]], 11/45722880], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 6103/398131200], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 7/17694720], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 1387/104509440], [[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 1/2488320], [[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 11/7464960], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 70849/60197437440], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 2231/223948800], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 167/49766400], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 14801/1492992000], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 8711/209018880], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 6263/209018880], [[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 1/1990656], [[[1, 9], [2, 2], [3, 3], [8, 1], [10, 1]], 11/65318400], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 4709/298598400], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 13/17915904], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 4481/477757440], [[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 1/3317760], [[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 1/1990656], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 13/7464960], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 3649/111974400], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/746496], [[[1, 9], [2, 2], [3, 4], [6, 1], [10, 1]], 1/11197440], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 971/179159040], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 79/103219200], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 19/86016000], [[[1, 9], [2, 2], [4, 1], [5, 1], [16, 1]], 1/6451200], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 427/24576000], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 749/184320000], [[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 1/768000], [[[1, 9], [2, 2], [4, 1], [6, 1], [11, 1]], 23/24330240], [[[1, 9], [2, 2], [4, 1], [6, 1], [22, 1]], 1/340623360], [[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 9689/9103933440], [[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 437/2972712960], [[[1, 9], [2, 2], [4, 1], [8, 2], [10, 1]], 1/51609600], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 3743/289013760], [[[1, 9], [2, 2], [4, 2], [5, 1], [14, 1]], 1/11289600], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 1/4423680], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 1/70778880], [[[1, 9], [2, 2], [4, 2], [6, 2], [18, 1]], 1/557383680], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 8089/650280960], [[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 1/2150400], [[[1, 9], [2, 2], [4, 2], [7, 1], [12, 1]], 11/6773760], [[[1, 9], [2, 2], [4, 2], [8, 1], [14, 1]], 1/32112640], [[[1, 9], [2, 2], [4, 2], [10, 1], [14, 1]], 1/722534400], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 37/41287680], [[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 7/35389440], [[[1, 9], [2, 2], [4, 3], [5, 1], [12, 1]], 11/9676800], [[[1, 9], [2, 2], [4, 3], [6, 1], [7, 1]], 37/11705057280], [[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 29/61931520], [[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 1/464486400], [[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 1/1486356480], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/5806080], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 19/10321920], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 19/1612800], [[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 1/1536000], [[[1, 9], [2, 2], [5, 2], [6, 1], [10, 1]], 1/8640000], [[[1, 9], [2, 2], [6, 1], [7, 1], [14, 1]], 1/15482880], [[[1, 9], [2, 2], [6, 1], [10, 1], [30, 1]], 1/619315200], [[[1, 9], [2, 2], [6, 1], [14, 1], [18, 1]], 1/2601123840], [[[1, 9], [2, 2], [7, 1], [8, 1], [10, 1]], 37/406425600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 2311/36864000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 11/2508226560], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 7/884736], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 11/221184000], [[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 23/15482880], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 43/2229534720], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 19219/260112384], [[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 3589/123863040], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 83/43352064], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 1020491/22295347200], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 19/49545216], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 60839/990904320], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 19/9830400], [[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 13/2654208], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 49697/17836277760], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 17/24883200], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 1703/37158912], [[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 110527/5573836800], [[[1, 9], [2, 4], [3, 1], [5, 1], [14, 1]], 17/4838400], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 334631/9289728000], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 1/2949120], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 19/4128768000], [[[1, 9], [2, 4], [3, 1], [6, 1], [16, 1]], 1/2064384], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 223/81285120], [[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 29/34836480], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 169/5202247680], [[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 169/2229534720], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/53084160], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/99532800], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 11/1548288], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 1237/203212800], [[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 113/30965760], [[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 37/12441600], [[[1, 9], [2, 4], [3, 1], [10, 1], [14, 1]], 1/25804800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 127/95551488], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 18749/278691840], [[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 68293/1114767360], [[[1, 9], [2, 4], [3, 2], [4, 1], [14, 1]], 19/5806080], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 40729/530841600], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 158141/13377208320], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 2119/26542080], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 1/276480], [[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 629/119439360], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 21701/955514880], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 163537/4180377600], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 833/132710400], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 263233/9289728000], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 833893/11705057280], [[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 53579/1672151040], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 373/162570240], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 743/185794560], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 2227/1393459200], [[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 1/2764800], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 23099/597196800], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 98129/2006581248], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 3013/119439360], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 29/8164800], [[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 11/7348320], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 29933/495452160], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 58799/895795200], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 77737/10032906240], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 743/174182400], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 71357/1433272320], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 282239/4335206400], [[[1, 9], [2, 4], [4, 1], [5, 1], [14, 1]], 13/5644800], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 1661/387072000], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 53/41287680], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/193536000], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 2179/2926264320], [[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/86704128], [[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 349/4459069440], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/159252480], [[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/8360755200], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 8149/247726080], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 6787/1625702400], [[[1, 9], [2, 4], [4, 1], [7, 1], [12, 1]], 1487/585252864], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 2081/2312110080], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 79/1926758400], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 37/232243200], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 4057/61931520], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 240097/12386304000], [[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 167/33177600], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 151/36126720], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 17/289013760], [[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 13/111476736], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 377/1486356480], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/232243200], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 517/176947200], [[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 71/26542080], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 377/232243200], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 2077/990904320], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 43/2477260800], [[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 29/185794560], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 5563/1625702400], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 10699/22295347200], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 6299/1548288000], [[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 2503/1950842880], [[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 23/33868800], [[[1, 9], [2, 4], [6, 1], [8, 1], [14, 1]], 1/61931520], [[[1, 9], [2, 4], [6, 1], [8, 1], [18, 1]], 1/26542080], [[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 29/4335206400], [[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 29/1857945600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 85213/40131624960], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 38981/1238630400], [[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 27439/1857945600], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 727/148635648], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 44083/849346560], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 751/55738368], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 91787/1415577600], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 551/61931520], [[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 1957/557383680], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 14563/330301440], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 653/99532800], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 47177/18579456000], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 4189/221184000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 129053/6502809600], [[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 101/33177600], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 4945/2080899072], [[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 11/19906560], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 173/123863040], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 3239/2477260800], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1/4915200], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 400903/15925248000], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 91069/1486356480], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 12923/707788800], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 1403/199065600], [[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 1/1105920], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 626221/6688604160], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 2695799/83607552000], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 1177/199065600], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 1889/232243200], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 902939/16052649984], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 523/309657600], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 58873/3096576000], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 2325089/74317824000], [[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 239/232243200], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 23339/3344302080], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 457/770703360], [[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 32789/44590694400], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 17293/11890851840], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 7919/44590694400], [[[1, 9], [2, 6], [4, 1], [6, 2], [12, 1]], 1/79626240], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 49129/9909043200], [[[1, 9], [2, 6], [4, 1], [10, 1], [12, 1]], 1/22118400], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 9481/928972800], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 91843/7431782400], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 6881/4246732800], [[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 17/39813120], [[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 17/30965760], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 627383/111476736000], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 1/14155776], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 17729657/3121348608000], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 11669989/936404582400], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 89903/14863564800], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 6859/1769472000], [[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 233/1486356480], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 6073373/178362777600], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 33419/6370099200], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 731/550502400], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 465557/148635648000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 251339/11560550400], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 1747/442368000], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 23093/5662310400], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 1694069/891813888000], [[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 19/278691840], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 128036261/32105299968000], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 1/2304000], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 41/77414400], [[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 37/464486400], [[[1, 9], [3, 1], [4, 2], [7, 1], [12, 1]], 1/2903040], [[[1, 9], [3, 1], [4, 2], [9, 1], [12, 1]], 1/8709120], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 1/1658880], [[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 13/23224320], [[[1, 9], [3, 2], [4, 2], [5, 1], [12, 1]], 1/2073600], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 11/24883200], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2580480], [[[1, 10], [2, 1], [3, 1], [4, 1], [11, 1]], 71/48660480], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 67/193536000], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 1/8257536], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 71/371589120], [[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 47/1114767360], [[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 29/14863564800], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 2]], 29/309657600], [[[1, 10], [2, 1], [3, 1], [5, 1], [15, 1]], 73/5573836800], [[[1, 10], [2, 1], [3, 1], [5, 1], [16, 1]], 1/38707200], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/6144000], [[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 37/27648000], [[[1, 10], [2, 1], [3, 1], [6, 1], [11, 1]], 1/1520640], [[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 9263/3344302080], [[[1, 10], [2, 1], [3, 1], [7, 1], [14, 1]], 1/15482880], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 11/1769472], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 1/26542080], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 1/1935360], [[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 127/371589120], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 97/265420800], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 1/7864320], [[[1, 10], [2, 1], [3, 2], [4, 3], [12, 1]], 1/9953280], [[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 1/2229534720], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 127/8294400], [[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 1361/174182400], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 101/33177600], [[[1, 10], [2, 1], [3, 2], [6, 1], [8, 2]], 1/46448640], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 13/46448640], [[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 17/92897280], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 3517/836075520], [[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 3089/836075520], [[[1, 10], [2, 1], [3, 3], [4, 1], [14, 1]], 1/91445760], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 409/836075520], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 113/836075520], [[[1, 10], [2, 1], [3, 3], [4, 2], [12, 1]], 11/78382080], [[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 1/3762339840], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 29/99532800], [[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 259/298598400], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 13/3317760], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 383/209018880], [[[1, 10], [2, 1], [3, 3], [8, 1], [10, 1]], 1/130636800], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 889/298598400], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 631/557383680], [[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 1/29859840], [[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 1/17915904], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 31/238878720], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 143/37324800], [[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 1/35831808], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 7/179159040], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 1/51609600], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 13/11059200], [[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 1/23040000], [[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 1/13824000], [[[1, 10], [2, 1], [4, 1], [6, 1], [11, 1]], 1/24330240], [[[1, 10], [2, 1], [4, 1], [7, 1], [14, 1]], 19/1820786688], [[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/594542592], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1997/13005619200], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 253/2601123840], [[[1, 10], [2, 1], [4, 2], [7, 1], [12, 1]], 37/487710720], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/45875200], [[[1, 10], [2, 1], [4, 3], [5, 1], [12, 1]], 1/19353600], [[[1, 10], [2, 1], [4, 3], [6, 1], [7, 1]], 1/11705057280], [[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 1/61931520], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/10321920], [[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 1/1612800], [[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 1/27648000], [[[1, 10], [2, 1], [7, 1], [8, 1], [10, 1]], 1/406425600], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 191/6912000], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 53/49545216], [[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 37/278691840], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 1/2229534720], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 7031/390168576], [[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 1003/222953472], [[[1, 10], [2, 3], [3, 1], [4, 2], [14, 1]], 37/487710720], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 21583/3185049600], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 23/50164531200], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 7757/1274019840], [[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 1/7372800], [[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 67/92897280], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 4811/64210599936], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/24883200], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 26959/1083801600], [[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 3557/464486400], [[[1, 10], [2, 3], [3, 1], [5, 1], [14, 1]], 29/67737600], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 103127/9289728000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 1/16515072], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/12386304000], [[[1, 10], [2, 3], [3, 1], [6, 1], [16, 1]], 23/696729600], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 1187/4389396480], [[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 1/11197440], [[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/5202247680], [[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/2229534720], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 1207/650280960], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 499/609638400], [[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 101/139345920], [[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 1/3110400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 43/1114767360], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 7087/243855360], [[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 3977/222953472], [[[1, 10], [2, 3], [3, 2], [4, 1], [14, 1]], 43/162570240], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 19177/743178240], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 3161/8918138880], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 6731/371589120], [[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 1/1843200], [[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 1/829440], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 391/318504960], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 25757/4180377600], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 307/132710400], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 7673/1032192000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 29093/1300561920], [[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 3817/557383680], [[[1, 10], [2, 3], [3, 2], [6, 1], [14, 1]], 1/10160640], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 13/30965760], [[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 1/21772800], [[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 1/15482880], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 31/1244160], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 8923/2006581248], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 283/26127360], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 283/522547200], [[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 73/134369280], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 12449/1486356480], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 183761/6270566400], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 239/159252480], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 563/1567641600], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 50983/3344302080], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 18043/867041280], [[[1, 10], [2, 3], [4, 1], [5, 1], [14, 1]], 11/81285120], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 53/96768000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 31/247726080], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 127/2926264320], [[[1, 10], [2, 3], [4, 1], [6, 2], [18, 1]], 1/891813888], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 41053/5202247680], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 247/541900800], [[[1, 10], [2, 3], [4, 1], [7, 1], [12, 1]], 293/585252864], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 13/462422016], [[[1, 10], [2, 3], [4, 1], [10, 1], [14, 1]], 1/1156055040], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 19073/1857945600], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 39/28672000], [[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 1/1209600], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 817/1950842880], [[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 1/867041280], [[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 1/371589120], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/1486356480], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 13/82575360], [[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 31/123863040], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 47/522547200], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 89/990904320], [[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 1/2477260800], [[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 1/185794560], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1997/4877107200], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 451/22295347200], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 3559/9289728000], [[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 163/650280960], [[[1, 10], [2, 3], [6, 1], [7, 1], [10, 1]], 37/609638400], [[[1, 10], [2, 3], [6, 1], [10, 1], [18, 1]], 1/3715891200], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 170057/802632499200], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 1251079/52022476800], [[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 60659/7431782400], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 739/743178240], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 33959/928972800], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 16139/10032906240], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 180329/5945425920], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 2579/1393459200], [[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 4001/2508226560], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 3497273/401316249600], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 161/99532800], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 551/294912000], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 17281/2064384000], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 1573363/140460687360], [[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 1243/1254113280], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 113/371589120], [[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 1/39813120], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 5491/16721510400], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 179/1238630400], [[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 1/18579456], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 48439/1769472000], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 208933/13377208320], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 26743/1981808640], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 3287/1393459200], [[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 29/46448640], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 503/13762560], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 24167/955514880], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 2959/1114767360], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 2651/1393459200], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 1522973/40131624960], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 317/836075520], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 7243/707788800], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 461903/49545216000], [[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 1103/2090188800], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 1375/668860416], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 263/10404495360], [[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 29/743178240], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 3659/17836277760], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 61/14863564800], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 983/1238630400], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 19/8601600], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 22643/11890851840], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 53/440401920], [[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 31/557383680], [[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 187/696729600], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 27443/27869184000], [[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/353894400], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 27759523/3121348608000], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 3135533/802632499200], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 2897579/535088332800], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 3827/1857945600], [[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 2377/13377208320], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 63487849/3210529996800], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 235883/44590694400], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 158203/191102976000], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 162991/148635648000], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 2820757/133772083200], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 370303/167215104000], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 110603/71345111040], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 18989/59454259200], [[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 1/66355200], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 128036261/32105299968000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 10429/2322432000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 59/1114767360], [[[1, 11], [2, 2], [3, 1], [4, 1], [16, 1]], 1/278691840], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 173/130056192], [[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 179/796262400], [[[1, 11], [2, 2], [3, 1], [4, 2], [14, 1]], 1/487710720], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 2431/11147673600], [[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 1/100329062400], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 1177/11147673600], [[[1, 11], [2, 2], [3, 1], [4, 3], [12, 1]], 37/836075520], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 109/802632499200], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 949/154828800], [[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 1829/1337720832], [[[1, 11], [2, 2], [3, 1], [5, 1], [14, 1]], 1/67737600], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 31349/22295347200], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 23/5573836800], [[[1, 11], [2, 2], [3, 1], [6, 1], [16, 1]], 1/1393459200], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 11/1097349120], [[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 1/313528320], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 23/121927680], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 11/304819200], [[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 17/278691840], [[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1/87091200], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 29747/5852528640], [[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 84317/40131624960], [[[1, 11], [2, 2], [3, 2], [4, 1], [14, 1]], 23/3657830400], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 1321/530841600], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/330301440], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 84341/66886041600], [[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 1/33177600], [[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 29/278691840], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 1723/42998169600], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1387/4180377600], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 277/928972800], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 280877/334430208000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 8935/3121348608], [[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 63613/100329062400], [[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 1/69672960], [[[1, 11], [2, 2], [3, 2], [8, 1], [10, 1]], 23/5225472000], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 139/23887872], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 67/1672151040], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 359/209018880], [[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 1/21772800], [[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 1/13063680], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 2407/13377208320], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 853/179159040], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 47/477757440], [[[1, 11], [2, 2], [3, 3], [6, 1], [10, 1]], 1/195955200], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 14123/10032906240], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 27833/10404495360], [[[1, 11], [2, 2], [4, 1], [5, 1], [14, 1]], 1/399168000], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 7/165888000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 1/247726080], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 15977/20808990720], [[[1, 11], [2, 2], [4, 1], [7, 1], [10, 1]], 13/541900800], [[[1, 11], [2, 2], [4, 1], [7, 1], [12, 1]], 13/325140480], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 105821/204374016000], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 79/2064384000], [[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 37/696729600], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 17/975421440], [[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 1/206438400], [[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/123863040], [[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 1/16422912000], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 71/4877107200], [[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 953/72990720000], [[[1, 11], [2, 2], [6, 1], [7, 1], [8, 1]], 13/650280960], [[[1, 11], [2, 2], [6, 1], [7, 1], [10, 1]], 1/609638400], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 6977/802632499200], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 43279/4682022912], [[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 3757/1672151040], [[[1, 11], [2, 4], [3, 1], [4, 1], [14, 1]], 29/325140480], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 63587/5573836800], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 919/8026324992], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 118969/17836277760], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 13/58060800], [[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 169/501645312], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 173989/267544166400], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 1627/7838208000], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 583/928972800], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 5561/2786918400], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 279613/87787929600], [[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 59/391910400], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 61/3185049600], [[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 1/21772800], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 427/47775744000], [[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 13/1393459200], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 161239/11147673600], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 217153/114661785600], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 4379/891813888], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 1987/5225472000], [[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 3859/18811699200], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 22187/3715891200], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 16297/1672151040], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 13703/25082265600], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 1111/5225472000], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 50909/4459069440], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 83/2052864000], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 5413/1857945600], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 12020369/8174960640000], [[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 2149/16422912000], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 179/609638400], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/2972712960], [[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/1274019840], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 563/35672555520], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 9197/148635648000], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 193/696729600], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 1943/11890851840], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 73/19818086400], [[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 47/8360755200], [[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 719/10948608000], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1789/22295347200], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 10053409/1337720832000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 1241/1651507200], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 76019/25480396800], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 40673/66886041600], [[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 103/1003290624], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 41294591/6421059993600], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 6361717/2006581248000], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 102329/334430208000], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 317897/1337720832000], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 908807/80263249920], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 163601/229920768000], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 13549/39636172800], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 263/6606028800], [[[1, 11], [2, 6], [4, 1], [6, 1], [12, 1]], 11/3715891200], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 25153159/9364045824000], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 11/487710720], [[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/139345920], [[[1, 11], [3, 1], [4, 2], [5, 1], [12, 1]], 1/116121600], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 1/29030400], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 31/145152000], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 1/2229534720], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 191/13005619200], [[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 1/265420800], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 13/1592524800], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/412876800], [[[1, 12], [2, 1], [3, 1], [4, 3], [12, 1]], 1/836075520], [[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 1/535088332800], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 4777/7803371520], [[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 98963/919683072000], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 6721/111476736000], [[[1, 12], [2, 1], [3, 1], [6, 1], [8, 2]], 1/11147673600], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 5/780337152], [[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 1/557383680], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 3091/11705057280], [[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 3029/40131624960], [[[1, 12], [2, 1], [3, 2], [4, 1], [14, 1]], 1/7315660800], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 4927/167215104000], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 461/66886041600], [[[1, 12], [2, 1], [3, 2], [4, 2], [12, 1]], 23/6270566400], [[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 1/300987187200], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 11/928972800], [[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 2017/66886041600], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 1819/15606743040], [[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 2053/100329062400], [[[1, 12], [2, 1], [3, 2], [8, 1], [10, 1]], 1/10450944000], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 463/1194393600], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 4507/50164531200], [[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 1/522547200], [[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 1/313528320], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 23/4459069440], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 83/348364800], [[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 1/627056640], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 11/3344302080], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 1121/10404495360], [[[1, 12], [2, 1], [4, 1], [5, 1], [14, 1]], 1/22353408000], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/663552000], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 319/12485394432], [[[1, 12], [2, 1], [4, 1], [7, 1], [10, 1]], 1/1625702400], [[[1, 12], [2, 1], [4, 1], [7, 1], [12, 1]], 1/975421440], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 661/204374016000], [[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 1/1769472000], [[[1, 12], [2, 1], [4, 2], [5, 1], [12, 1]], 1/684288000], [[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1/919683072000], [[[1, 12], [2, 1], [5, 1], [8, 1], [10, 1]], 1/31933440000], [[[1, 12], [2, 1], [6, 1], [7, 1], [8, 1]], 1/1950842880], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 314443/187280916480], [[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 2699/8918138880], [[[1, 12], [2, 3], [3, 1], [4, 1], [14, 1]], 167/53648179200], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 13938391/9809952768000], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 11/3344302080], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 1226431/1961990553600], [[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 13/928972800], [[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 13/418037760], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 53129/2942985830400], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 821/68976230400], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 263/2786918400], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 165827/681246720000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 7537/17340825600], [[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 1/99532800], [[[1, 12], [2, 3], [3, 1], [6, 1], [14, 1]], 1/2438553600], [[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 1/348364800], [[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 1/5225472000], [[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 19/25546752000], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 4565/1337720832], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 2831/32105299968], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 31/37748736], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 307/10450944000], [[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 1151/37623398400], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 7447/22295347200], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 1732627/1003290624000], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 143/2786918400], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 139/15676416000], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 1146161/802632499200], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 331/229920768000], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 8681/21799895040], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 878597/8174960640000], [[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 31/2052864000], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 1/43545600], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 1/2229534720], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 281/153280512000], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 589/30656102400], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 47/5945425920], [[[1, 12], [2, 3], [4, 2], [6, 1], [12, 1]], 67/275904921600], [[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 193/25546752000], [[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 293/109486080000], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 1505573/445906944000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 741949/8828957491200], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 165541/178362777600], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 11251/114960384000], [[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 929/30656102400], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 66599/61152952320], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 4625249/4414478745600], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 184783/2942985830400], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 12973/445906944000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 1267579/401316249600], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 32183/262766592000], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 101107/2354388664320], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 3083/891813888000], [[[1, 12], [2, 5], [4, 1], [6, 1], [12, 1]], 7/14332723200], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 6390817/5518098432000], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 60763/468202291200], [[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 4093/220723937280], [[[1, 13], [2, 2], [3, 1], [4, 1], [14, 1]], 79/2092278988800], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 115331/1961990553600], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 219851/10931090227200], [[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1/2786918400], [[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 1/821145600], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 6133/21520583884800], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 169/689762304000], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 7661/1226244096000], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 62411/4598415360000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 3091/117050572800], [[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 1/4180377600], [[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 1/16721510400], [[[1, 13], [2, 2], [3, 1], [8, 1], [10, 1]], 79/2988969984000], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 69569/210213273600], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 17/25082265600], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 177847/2942985830400], [[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 1/870912000], [[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 1/522547200], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 137/33443020800], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 739381/5518098432000], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 11/5573836800], [[[1, 13], [2, 2], [3, 2], [6, 1], [10, 1]], 1/15676416000], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 139787/2407897497600], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 5083/204374016000], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 24007/8174960640000], [[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 29/38320128000], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 1/955514880], [[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 1/306561024000], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 17/30656102400], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/5945425920], [[[1, 13], [2, 2], [4, 2], [6, 1], [12, 1]], 1/275904921600], [[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 29/76640256000], [[[1, 13], [2, 2], [5, 1], [6, 1], [10, 1]], 1/47900160000], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 3256417/4204265472000], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 61091/11477644738560], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 1808167/11771943321600], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 47821/5977939968000], [[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 6067/1345036492800], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 45539/523197480960], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 8061283/44144787456000], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 791669/114776447385600], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 1/574801920], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 154097/353158299648], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 5167/459841536000], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 2741/980995276800], [[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 67/459841536000], [[[1, 13], [2, 4], [4, 1], [6, 1], [12, 1]], 23/551809843200], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 121868723/417368899584000], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 169/306561024000], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 3131/936404582400], [[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 367/882895749120], [[[1, 14], [2, 1], [3, 1], [4, 1], [14, 1]], 1/2092278988800], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 7493/17390370816000], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 1457/19129407897600], [[[1, 14], [2, 1], [3, 1], [4, 2], [12, 1]], 79/3586763980800], [[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 1/86082335539200], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 181/1226244096000], [[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 89/334430208000], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 29/52022476800], [[[1, 14], [2, 1], [3, 1], [8, 1], [10, 1]], 1/2988969984000], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 15391/1471492915200], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 17437/10931090227200], [[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 1/41803776000], [[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 1/25082265600], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/16721510400], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 2659/735746457600], [[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 1/50164531200], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 1/10749542400], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 53/89181388800], [[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 1/127733760000], [[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 1/76640256000], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/46820229120], [[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 1/153280512000], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 2589493/29429858304000], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 5119/28694111846400], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 2010269/153035263180800], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 1919/5977939968000], [[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 893/2690072985600], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 41299/14574786969600], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 1343039/81983176704000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 2441/6376469299200], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 149/3586763980800], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 105269/3825881579520], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 3/5046272000], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 79/980995276800], [[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 1/459841536000], [[[1, 14], [2, 3], [4, 1], [6, 1], [12, 1]], 31/16738231910400], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 2885963/70631659929600], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 160961/34780741632000], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/401316249600], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 116213/214249368453120], [[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 1/147603456000], [[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 1/88562073600], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 9899/382588157952000], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 80467/114776447385600], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 359/38258815795200], [[[1, 15], [2, 2], [3, 1], [6, 1], [10, 1]], 1/4483454976000], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 6613/10434222489600], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 17/919683072000], [[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1/1471492915200], [[[1, 15], [2, 2], [4, 1], [6, 1], [12, 1]], 11/273898340352000], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 2457661/803435131699200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 34109/382588157952000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 5281/595137134592000], [[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 1/11955879936000], [[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 1/7173527961600], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/5350883328000], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 163/14714929152000], [[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 1/14347055923200], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 53/57388223692800], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/3678732288000], [[[1, 16], [2, 1], [4, 1], [6, 1], [12, 1]], 1/3012881743872000], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 5437/47823519744000], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 10883/6427481053593600], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 1/334764638208000], [[[2, 3], [4, 1], [6, 2], [8, 1], [26, 1]], 1/14976], [[[2, 3], [4, 1], [8, 2], [10, 1], [16, 1]], 1/2560], [[[2, 3], [4, 2], [6, 1], [10, 1], [26, 1]], 1/24960], [[[2, 3], [4, 2], [6, 1], [10, 2], [30, 1]], 1/9600], [[[2, 3], [4, 2], [6, 1], [12, 1], [26, 1]], 1/7488], [[[2, 3], [4, 2], [8, 1], [14, 1], [16, 1]], 1/1792], [[[2, 3], [4, 2], [10, 1], [12, 1], [22, 1]], 1/10560], [[[2, 3], [4, 4], [6, 1], [8, 1], [16, 1]], 1/73728], [[[2, 3], [4, 4], [6, 1], [10, 1], [30, 1]], 1/368640], [[[2, 3], [4, 4], [6, 1], [14, 1], [18, 1]], 1/1548288], [[[2, 3], [6, 1], [8, 2], [10, 1], [30, 1]], 1/7680], [[[2, 3], [6, 1], [8, 2], [14, 1], [18, 1]], 1/32256], [[[2, 3], [6, 1], [10, 1], [18, 1], [22, 1]], 1/1980], [[[2, 3], [6, 2], [10, 1], [18, 1], [30, 1]], 1/540], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 3]], 1/288000], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 2]], 1/75264], [[[2, 5], [4, 1], [6, 1], [8, 1], [26, 1]], 5/119808], [[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/12288], [[[2, 5], [4, 1], [6, 2], [8, 1], [22, 1]], 1/25344], [[[2, 5], [4, 1], [6, 3], [8, 1], [10, 2]], 1/345600], [[[2, 5], [4, 1], [6, 4], [8, 1], [14, 1]], 1/435456], [[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 1/62208], [[[2, 5], [4, 1], [8, 1], [10, 1], [22, 1]], 1/168960], [[[2, 5], [4, 2], [6, 1], [10, 1], [22, 1]], 1/33792], [[[2, 5], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[2, 5], [4, 2], [6, 1], [10, 2], [18, 1]], 1/57600], [[[2, 5], [4, 2], [6, 1], [12, 1], [22, 1]], 1/12672], [[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/18432], [[[2, 5], [4, 2], [6, 2], [10, 1], [30, 1]], 1/46080], [[[2, 5], [4, 2], [6, 2], [10, 2], [12, 1]], 1/172800], [[[2, 5], [4, 2], [6, 2], [14, 1], [18, 1]], 1/193536], [[[2, 5], [4, 2], [6, 3], [10, 1], [14, 1]], 1/725760], [[[2, 5], [4, 2], [6, 3], [10, 1], [18, 1]], 1/103680], [[[2, 5], [4, 2], [6, 3], [12, 1], [14, 1]], 1/217728], [[[2, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 1/31104], [[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/10240], [[[2, 5], [4, 2], [8, 1], [12, 1], [16, 1]], 1/18432], [[[2, 5], [4, 4], [6, 1], [10, 1], [14, 1]], 1/2580480], [[[2, 5], [4, 4], [6, 1], [10, 1], [18, 1]], 1/2211840], [[[2, 5], [6, 1], [8, 2], [10, 1], [14, 1]], 1/53760], [[[2, 5], [6, 1], [8, 2], [10, 1], [18, 1]], 1/46080], [[[2, 5], [6, 1], [10, 1], [14, 1], [30, 1]], 1/3360], [[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3024], [[[2, 7], [4, 1], [6, 1], [8, 1], [22, 1]], 7/1013760], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 1/307200], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 13/3483648], [[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/165888], [[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/622080], [[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 1/294912], [[[2, 7], [4, 2], [6, 1], [10, 1], [30, 1]], 1/3686400], [[[2, 7], [4, 2], [6, 1], [10, 2], [12, 1]], 1/172800], [[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 1/15482880], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/193536], [[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/165888], [[[2, 7], [4, 2], [6, 2], [12, 1], [14, 1]], 1/145152], [[[2, 7], [4, 2], [6, 2], [12, 1], [18, 1]], 1/124416], [[[2, 7], [4, 2], [6, 3], [10, 1], [12, 1]], 1/311040], [[[2, 7], [4, 2], [10, 1], [12, 1], [14, 1]], 1/161280], [[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 41/483840], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 1/2304000], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1658880], [[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 13/23224320], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 11/24883200], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/2580480], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 41/77414400], [[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 37/464486400], [[[2, 9], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2903040], [[[2, 9], [4, 2], [6, 1], [12, 1], [18, 1]], 1/8709120], [[[2, 9], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2073600], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 11/487710720], [[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/139345920], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 1/29030400], [[[2, 11], [4, 2], [6, 1], [10, 1], [12, 1]], 1/116121600], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 169/306561024000], [[[1, 1], [2, 2], [3, 1], [4, 1], [13, 1], [14, 1]], 1/4368], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [13, 1]], 1/39936], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/6144], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [13, 1]], 1/179712], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [26, 1]], 1/179712], [[[1, 1], [2, 2], [3, 1], [4, 3], [10, 1], [22, 1]], 1/253440], [[[1, 1], [2, 2], [3, 1], [5, 1], [15, 1], [16, 1]], 1/960], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [16, 1]], 1/4032], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 1], [13, 1]], 1/6240], [[[1, 1], [2, 2], [4, 1], [5, 1], [11, 1], [14, 1]], 1/6160], [[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [26, 1]], 1/4368], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [26, 1]], 1/14976], [[[1, 1], [2, 2], [4, 1], [7, 1], [10, 1], [22, 1]], 1/6160], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [16, 1]], 1/2560], [[[1, 1], [2, 2], [4, 2], [5, 1], [8, 1], [11, 1]], 1/56320], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [26, 1]], 1/39936], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/6144], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [26, 1]], 1/24960], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 2], [30, 1]], 1/9600], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [26, 1]], 1/7488], [[[1, 1], [2, 2], [4, 2], [8, 1], [10, 1], [22, 1]], 1/56320], [[[1, 1], [2, 2], [4, 2], [8, 1], [14, 1], [16, 1]], 1/1792], [[[1, 1], [2, 2], [4, 2], [10, 1], [12, 1], [22, 1]], 1/10560], [[[1, 1], [2, 2], [4, 3], [5, 1], [6, 1], [11, 1]], 1/253440], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [16, 1]], 1/10240], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [16, 1]], 1/10240], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/73728], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [30, 1]], 1/368640], [[[1, 1], [2, 2], [4, 4], [6, 1], [14, 1], [18, 1]], 1/1548288], [[[1, 1], [2, 2], [5, 1], [6, 1], [8, 1], [26, 1]], 1/6240], [[[1, 1], [2, 2], [5, 1], [8, 1], [10, 1], [11, 1]], 1/8800], [[[1, 1], [2, 2], [5, 1], [8, 1], [10, 1], [22, 1]], 1/8800], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [30, 1]], 1/7680], [[[1, 1], [2, 2], [6, 1], [8, 2], [14, 1], [18, 1]], 1/32256], [[[1, 1], [2, 2], [6, 1], [10, 1], [16, 1], [30, 1]], 1/960], [[[1, 1], [2, 2], [6, 1], [10, 1], [18, 1], [22, 1]], 1/1980], [[[1, 1], [2, 2], [6, 1], [14, 1], [16, 1], [18, 1]], 1/4032], [[[1, 1], [2, 2], [6, 2], [10, 1], [18, 1], [30, 1]], 1/540], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [13, 1]], 1/44928], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [26, 1]], 1/22464], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 1], [13, 1]], 1/24960], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 3], [12, 1]], 1/108000], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [13, 1]], 1/44928], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [14, 2]], 1/28224], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [26, 1]], 1/11232], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 3]], 1/192000], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [15, 1]], 1/552960], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [22, 1]], 1/304128], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 2]], 1/4147200], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/3456], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [14, 1]], 1/5225472], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [18, 1]], 1/746496], [[[1, 1], [2, 4], [3, 1], [4, 3], [7, 1], [9, 1]], 1/2322432], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/49152], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 2]], 1/7372800], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [14, 1]], 1/3096576], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [18, 1]], 1/1327104], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 5/884736], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [13, 1]], 1/29952], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [26, 1]], 1/29952], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [10, 2]], 1/153600], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [14, 1]], 1/64512], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [18, 1]], 1/27648], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [22, 1]], 1/7920], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [30, 1]], 1/2160], [[[1, 1], [2, 4], [3, 1], [6, 3], [14, 1], [18, 1]], 1/3024], [[[1, 1], [2, 4], [3, 1], [8, 1], [10, 1], [22, 1]], 1/42240], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [26, 1]], 1/24960], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [11, 1]], 1/63360], [[[1, 1], [2, 4], [4, 1], [5, 1], [10, 1], [11, 1]], 1/35200], [[[1, 1], [2, 4], [4, 1], [5, 1], [10, 1], [22, 1]], 1/35200], [[[1, 1], [2, 4], [4, 1], [5, 1], [11, 1], [12, 1]], 1/63360], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [22, 1]], 1/7392], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/288000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 1/37632], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [26, 1]], 71/119808], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 1/4096], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [10, 1]], 1/61440], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [26, 1]], 1/4160], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [30, 1]], 1/1600], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [26, 1]], 1/14976], [[[1, 1], [2, 4], [4, 1], [6, 1], [18, 1], [22, 1]], 1/1584], [[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [10, 2]], 1/100800], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [22, 1]], 1/12672], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 2], [18, 1]], 1/55296], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [22, 1]], 1/63360], [[[1, 1], [2, 4], [4, 1], [6, 3], [7, 1], [14, 1]], 1/127008], [[[1, 1], [2, 4], [4, 1], [6, 3], [7, 1], [18, 1]], 1/18144], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/345600], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 1/41472], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [30, 1]], 1/17280], [[[1, 1], [2, 4], [4, 1], [6, 3], [14, 1], [18, 1]], 1/72576], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [14, 1]], 1/435456], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 1/62208], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [16, 1]], 1/3584], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 1], [22, 1]], 1/3072], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 3/3584], [[[1, 1], [2, 4], [4, 1], [8, 2], [10, 1], [14, 1]], 1/71680], [[[1, 1], [2, 4], [4, 1], [10, 1], [12, 1], [22, 1]], 1/21120], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [10, 2]], 1/115200], [[[1, 1], [2, 4], [4, 2], [5, 1], [10, 2], [12, 1]], 1/9600], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [22, 1]], 5/67584], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [22, 1]], 1/15360], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [18, 1]], 1/28800], [[[1, 1], [2, 4], [4, 2], [6, 1], [12, 1], [22, 1]], 1/6336], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 2]], 1/921600], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [30, 1]], 1/15360], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 2], [12, 1]], 1/172800], [[[1, 1], [2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/64512], [[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [18, 1]], 5/165888], [[[1, 1], [2, 4], [4, 2], [6, 3], [10, 1], [14, 1]], 1/725760], [[[1, 1], [2, 4], [4, 2], [6, 3], [10, 1], [18, 1]], 1/103680], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [14, 1]], 1/217728], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 1/31104], [[[1, 1], [2, 4], [4, 2], [7, 1], [8, 1], [14, 1]], 1/28672], [[[1, 1], [2, 4], [4, 2], [7, 1], [10, 1], [14, 1]], 1/17920], [[[1, 1], [2, 4], [4, 2], [7, 1], [12, 1], [14, 1]], 1/5376], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 3/10240], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 1], [2, 4], [4, 3], [6, 1], [7, 1], [14, 1]], 1/129024], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 11/49152], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [30, 1]], 13/184320], [[[1, 1], [2, 4], [4, 3], [6, 1], [14, 1], [18, 1]], 13/774144], [[[1, 1], [2, 4], [4, 3], [6, 2], [10, 1], [18, 1]], 1/69120], [[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [4, 3], [8, 1], [10, 1], [14, 1]], 1/35840], [[[1, 1], [2, 4], [4, 3], [8, 1], [12, 1], [14, 1]], 1/10752], [[[1, 1], [2, 4], [4, 3], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 1], [2, 4], [4, 4], [5, 1], [6, 2], [10, 1]], 1/4423680], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/2580480], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [18, 1]], 1/1105920], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [10, 1]], 1/2949120], [[[1, 1], [2, 4], [5, 1], [6, 1], [8, 1], [11, 1]], 1/42240], [[[1, 1], [2, 4], [5, 1], [6, 1], [8, 1], [22, 1]], 1/10560], [[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [18, 1]], 1/1800], [[[1, 1], [2, 4], [5, 1], [6, 2], [8, 1], [10, 2]], 1/144000], [[[1, 1], [2, 4], [5, 1], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 1], [2, 4], [5, 1], [6, 3], [8, 1], [14, 1]], 1/181440], [[[1, 1], [2, 4], [5, 1], [6, 3], [8, 1], [18, 1]], 1/25920], [[[1, 1], [2, 4], [5, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 1], [2, 4], [6, 1], [7, 1], [14, 1], [18, 1]], 1/1008], [[[1, 1], [2, 4], [6, 1], [8, 1], [10, 1], [22, 1]], 1/21120], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [14, 1]], 1/53760], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [18, 1]], 1/23040], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [16, 1]], 1/6720], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [30, 1]], 1/1120], [[[1, 1], [2, 4], [6, 1], [10, 1], [16, 1], [18, 1]], 1/5760], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [30, 1]], 1/5760], [[[1, 1], [2, 4], [6, 2], [8, 1], [14, 1], [18, 1]], 1/24192], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3024], [[[1, 1], [2, 4], [7, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/432000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [13, 1]], 1/718848], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/112896], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [26, 1]], 17/718848], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [22, 1]], 1/38016], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/518400], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 1/653184], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/93312], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 1/373248], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 23/2099520], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 1], [22, 1]], 1/1013760], [[[1, 1], [2, 6], [3, 1], [4, 1], [12, 1], [22, 1]], 1/190080], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/102400], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/387072], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/165888], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 1/622080], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 1/186624], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 2]], 1/4147200], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [14, 1]], 1/3483648], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [18, 1]], 1/2985984], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [10, 1]], 1/7464960], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/36864], [[[1, 1], [2, 6], [3, 1], [4, 3], [10, 1], [14, 1]], 1/3870720], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [14, 1]], 1/6193152], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 1/4423680], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 5/7077888], [[[1, 1], [2, 6], [3, 1], [5, 1], [8, 1], [15, 1]], 1/921600], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [22, 1]], 1/50688], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [14, 1]], 1/129024], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [22, 1]], 1/63360], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 2]], 1/691200], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [30, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 5/24192], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [14, 1]], 1/870912], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [18, 1]], 1/124416], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3240], [[[1, 1], [2, 6], [3, 1], [7, 1], [8, 1], [9, 1]], 1/3870720], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [11, 1]], 1/1013760], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [22, 1]], 1/42240], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 2]], 1/576000], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [14, 1]], 1/725760], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [18, 1]], 1/103680], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/153600], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [16, 1]], 1/122880], [[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [10, 2]], 1/100800], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [22, 1]], 151/506880], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [14, 1]], 1/86016], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [18, 1]], 1/110592], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [22, 1]], 67/253440], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 1/5760], [[[1, 1], [2, 6], [4, 1], [6, 1], [12, 1], [22, 1]], 1/25344], [[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [14, 1]], 29/677376], [[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [18, 1]], 1/72576], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 61/921600], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/27648], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 1/184320], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [30, 1]], 7/69120], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 1/345600], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 67/290304], [[[1, 1], [2, 6], [4, 1], [6, 3], [7, 1], [10, 1]], 1/181440], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 127/3483648], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 13/55296], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/51840], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 19/103680], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 1/435456], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 1/62208], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/155520], [[[1, 1], [2, 6], [4, 1], [7, 1], [8, 1], [14, 1]], 1/86016], [[[1, 1], [2, 6], [4, 1], [7, 1], [10, 1], [14, 1]], 5/75264], [[[1, 1], [2, 6], [4, 1], [7, 1], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/24576], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 7/460800], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [10, 1]], 1/552960], [[[1, 1], [2, 6], [4, 2], [6, 1], [7, 1], [14, 1]], 1/86016], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 7/921600], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 13/294912], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/73728], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [30, 1]], 7/1228800], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 1/43200], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 1/737280], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 13/774144], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 11/663552], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 17/967680], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 13/414720], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [14, 1]], 1/36288], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [18, 1]], 7/124416], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 13/1658880], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 1/155520], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/286720], [[[1, 1], [2, 6], [4, 2], [10, 1], [12, 1], [14, 1]], 1/23040], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/46080], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 7/368640], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [18, 1]], 1/41472], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/122880], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [10, 1]], 1/4423680], [[[1, 1], [2, 6], [5, 1], [6, 1], [8, 1], [10, 2]], 1/144000], [[[1, 1], [2, 6], [5, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 1], [2, 6], [5, 1], [6, 2], [8, 1], [14, 1]], 1/120960], [[[1, 1], [2, 6], [5, 1], [6, 2], [8, 1], [18, 1]], 1/103680], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [18, 1]], 1/6480], [[[1, 1], [2, 6], [5, 1], [6, 3], [8, 1], [10, 1]], 1/259200], [[[1, 1], [2, 6], [5, 1], [8, 1], [10, 1], [14, 1]], 1/134400], [[[1, 1], [2, 6], [6, 1], [7, 1], [8, 1], [14, 1]], 1/21504], [[[1, 1], [2, 6], [6, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [30, 1]], 1/184320], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/774144], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 221/483840], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/34560], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [15, 1]], 1/77414400], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [22, 1]], 13/6082560], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 11/5529600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 7/2985984], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 1/331776], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/746496], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/933120], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 37/6718464], [[[1, 1], [2, 8], [3, 1], [4, 1], [7, 1], [9, 1]], 1/325140480], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/8847360], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 2], [12, 1]], 1/5184000], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 11/24576000], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 41/30965760], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 1/13271040], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/414720], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [12, 1]], 1/497664], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [14, 1]], 1/69672960], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [18, 1]], 1/209018880], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 1/49766400], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 7/2949120], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/88473600], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 1/691200], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 2], [10, 1]], 1/1843200], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [14, 1]], 1/580608], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [18, 1]], 1/497664], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 19/322560], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 41/2073600], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [10, 1]], 1/1244160], [[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [14, 1]], 1/645120], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 1/576000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [14, 1]], 1/483840], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [18, 1]], 1/414720], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 1/1036800], [[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [14, 1]], 1/537600], [[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [14, 1]], 137/54190080], [[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [18, 1]], 1/5080320], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 187/4608000], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 7/8847360], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 1/737280], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [30, 1]], 13/11059200], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 1/345600], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1357/46448640], [[[1, 1], [2, 8], [4, 1], [6, 2], [7, 1], [10, 1]], 1/1209600], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 19/414720], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 193/4644864], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/15120], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 59/829440], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 1/290304], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [18, 1]], 1/248832], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 97/3110400], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 1/622080], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 23/516096], [[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 3/1638400], [[[1, 1], [2, 8], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 43/15482880], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 71/46448640], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 461/77414400], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 407/232243200], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [14, 1]], 1/181440], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [18, 1]], 11/4354560], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 31/11059200], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 11/2073600], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 19/9830400], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/552960], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 1], [12, 1]], 1/276480], [[[1, 1], [2, 8], [5, 1], [6, 1], [8, 1], [14, 1]], 1/2419200], [[[1, 1], [2, 8], [5, 1], [6, 1], [8, 1], [18, 1]], 1/7257600], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [18, 1]], 1/259200], [[[1, 1], [2, 8], [5, 1], [6, 2], [8, 1], [10, 1]], 1/1728000], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 1/258048], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1105920], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/9216000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 13/69672960], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 17/139345920], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 43/278691840], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 29/149299200], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 2111/3762339840], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/15482880], [[[1, 1], [2, 10], [3, 1], [4, 1], [12, 1], [14, 1]], 1/365783040], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/61931520], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 121/928972800], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [12, 1]], 1/17418240], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 1/2786918400], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/55050240], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [14, 1]], 1/11612160], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [18, 1]], 1/34836480], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/358400], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 1/8294400], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [14, 1]], 1/9676800], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [18, 1]], 1/29030400], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 1/6912000], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 1], [2, 10], [4, 1], [6, 1], [7, 1], [10, 1]], 1/67737600], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 6101/1950842880], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 11/17418240], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 299/38707200], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 17/13271040], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 1/5806080], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [18, 1]], 1/17418240], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 2137/464486400], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 1/4147200], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 1/14745600], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 157/619315200], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 29/116121600], [[[1, 1], [2, 10], [5, 1], [6, 1], [8, 1], [10, 1]], 1/96768000], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 5/1170505728], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 1/836075520], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 31/8360755200], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 11/1393459200], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [12, 1]], 3889/601974374400], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 1], [12, 1]], 1/28740096000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 67/55738368000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [12, 1]], 1/4180377600], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 1/464486400], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 1/387072000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 38921/350355456000], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 1/232243200], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/66886041600], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 181/1839366144000], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [12, 1]], 6691/688658684313600], [[[1, 2], [2, 1], [3, 1], [4, 1], [13, 1], [14, 1]], 1/4368], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [13, 1]], 1/24960], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [15, 1]], 1/9600], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [13, 1]], 1/39936], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/6144], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 1], [13, 1]], 1/7488], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [13, 1]], 1/179712], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [26, 1]], 1/179712], [[[1, 2], [2, 1], [3, 1], [4, 3], [10, 1], [22, 1]], 1/253440], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [15, 1]], 1/368640], [[[1, 2], [2, 1], [3, 1], [4, 4], [7, 1], [9, 1]], 1/1548288], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [16, 1]], 1/73728], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [15, 1]], 1/7680], [[[1, 2], [2, 1], [3, 1], [5, 1], [9, 1], [11, 1]], 1/1980], [[[1, 2], [2, 1], [3, 1], [5, 1], [15, 1], [16, 1]], 1/960], [[[1, 2], [2, 1], [3, 1], [7, 1], [8, 2], [9, 1]], 1/32256], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [16, 1]], 1/4032], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 1], [13, 1]], 1/6240], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [13, 1]], 1/14976], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [15, 1]], 1/540], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [16, 1]], 1/2560], [[[1, 2], [2, 1], [4, 1], [5, 1], [11, 1], [14, 1]], 1/6160], [[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [26, 1]], 1/4368], [[[1, 2], [2, 1], [4, 1], [7, 1], [10, 1], [22, 1]], 1/6160], [[[1, 2], [2, 1], [4, 2], [5, 1], [8, 1], [11, 1]], 1/56320], [[[1, 2], [2, 1], [4, 2], [5, 1], [11, 1], [12, 1]], 1/10560], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [26, 1]], 1/39936], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/6144], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [16, 1]], 1/1792], [[[1, 2], [2, 1], [4, 2], [8, 1], [10, 1], [22, 1]], 1/56320], [[[1, 2], [2, 1], [4, 3], [5, 1], [6, 1], [11, 1]], 1/253440], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/10240], [[[1, 2], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/10240], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 2], [2, 1], [5, 1], [6, 1], [8, 1], [26, 1]], 1/6240], [[[1, 2], [2, 1], [5, 1], [8, 1], [10, 1], [11, 1]], 1/8800], [[[1, 2], [2, 1], [5, 1], [8, 1], [10, 1], [22, 1]], 1/8800], [[[1, 2], [2, 1], [6, 1], [10, 1], [16, 1], [30, 1]], 1/960], [[[1, 2], [2, 1], [6, 1], [14, 1], [16, 1], [18, 1]], 1/4032], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [13, 1]], 1/44928], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [26, 1]], 1/5616], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [13, 1]], 5/39936], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/4096], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [13, 1]], 1/8320], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 3], [12, 1]], 1/108000], [[[1, 2], [2, 3], [3, 1], [4, 1], [11, 1], [14, 1]], 1/7392], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [13, 1]], 7/44928], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [14, 2]], 1/14112], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [26, 1]], 1/2808], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [11, 1]], 1/168960], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 3]], 1/192000], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [13, 1]], 5/59904], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [26, 1]], 5/59904], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [11, 1]], 1/67584], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 2], [10, 1], [22, 1]], 1/16896], [[[1, 2], [2, 3], [3, 1], [4, 2], [12, 1], [22, 1]], 1/6336], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 2]], 1/122880], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [10, 2]], 1/230400], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [15, 1]], 7/552960], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [6, 2]], 1/1382400], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [11, 1]], 1/304128], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [22, 1]], 1/152064], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 2]], 1/4147200], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [14, 1]], 1/5225472], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [18, 1]], 1/746496], [[[1, 2], [2, 3], [3, 1], [4, 3], [7, 1], [9, 1]], 1/331776], [[[1, 2], [2, 3], [3, 1], [4, 3], [7, 1], [14, 1]], 1/129024], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 1/16384], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 2]], 1/7372800], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [14, 1]], 1/3096576], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [18, 1]], 11/3981312], [[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [14, 1]], 1/258048], [[[1, 2], [2, 3], [3, 1], [4, 4], [10, 1], [14, 1]], 1/645120], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 5/884736], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 1/589824], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [13, 1]], 1/9360], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [26, 1]], 1/9360], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [11, 1]], 1/47520], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [15, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [16, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [5, 1], [10, 1], [11, 1]], 1/13200], [[[1, 2], [2, 3], [3, 1], [5, 1], [10, 1], [22, 1]], 1/13200], [[[1, 2], [2, 3], [3, 1], [5, 1], [14, 1], [15, 1]], 1/1680], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [15, 1]], 1/3600], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [16, 1]], 1/19200], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [13, 1]], 1/9984], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [26, 1]], 1/9984], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [10, 2]], 1/153600], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [13, 1]], 1/9360], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [26, 1]], 1/9360], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [16, 1]], 1/19200], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [30, 1]], 1/3600], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [14, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [18, 1]], 1/27648], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [22, 1]], 1/7920], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [18, 1]], 1/10800], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1], [16, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [6, 2], [16, 1], [18, 1]], 1/3456], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 1/3024], [[[1, 2], [2, 3], [3, 1], [7, 1], [9, 1], [14, 1]], 1/882], [[[1, 2], [2, 3], [3, 1], [8, 1], [10, 1], [11, 1]], 1/10560], [[[1, 2], [2, 3], [3, 1], [8, 1], [10, 1], [22, 1]], 1/14080], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [13, 1]], 1/7488], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [16, 1]], 1/6912], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [15, 1]], 1/46080], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/2592], [[[1, 2], [2, 3], [3, 2], [4, 2], [7, 1], [9, 1]], 1/193536], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 1/18432], [[[1, 2], [2, 3], [3, 2], [4, 2], [9, 1], [14, 1]], 1/12096], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [10, 2]], 1/1382400], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [7, 1]], 1/580608], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [9, 1]], 1/248832], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [14, 1]], 1/580608], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [18, 1]], 1/248832], [[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [9, 1]], 1/110592], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [9, 1]], 1/497664], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/82944], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1/12960], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [10, 2]], 1/28800], [[[1, 2], [2, 3], [3, 2], [5, 1], [10, 1], [15, 1]], 1/3600], [[[1, 2], [2, 3], [3, 2], [5, 1], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [16, 1]], 1/8064], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [16, 1]], 1/3456], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 1], [22, 1]], 1/47520], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [9, 1]], 1/54432], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 1/12960], [[[1, 2], [2, 3], [3, 2], [6, 2], [14, 1], [18, 1]], 1/54432], [[[1, 2], [2, 3], [3, 2], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [26, 1]], 1/8320], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [11, 1]], 1/63360], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [10, 2]], 1/5600], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [16, 1]], 1/8960], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [11, 1]], 1/11264], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [22, 1]], 1/7040], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [14, 1]], 1/8960], [[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [11, 1]], 3/35200], [[[1, 2], [2, 3], [4, 1], [5, 1], [10, 1], [22, 1]], 3/35200], [[[1, 2], [2, 3], [4, 1], [5, 1], [11, 1], [12, 1]], 7/63360], [[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [14, 1]], 1/5600], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [22, 1]], 1/3696], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 2], [12, 1]], 1/28224], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/75264], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [26, 1]], 9/13312], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 5/12288], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 1/61440], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [26, 1]], 1/4160], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [30, 1]], 1/1600], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [13, 1]], 1/3744], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [26, 1]], 1/4992], [[[1, 2], [2, 3], [4, 1], [6, 1], [18, 1], [22, 1]], 1/1584], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [10, 2]], 1/100800], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [22, 1]], 1/25344], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 2], [18, 1]], 1/55296], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [22, 1]], 1/63360], [[[1, 2], [2, 3], [4, 1], [6, 2], [16, 1], [18, 1]], 1/6912], [[[1, 2], [2, 3], [4, 1], [6, 3], [7, 1], [14, 1]], 1/127008], [[[1, 2], [2, 3], [4, 1], [6, 3], [7, 1], [18, 1]], 1/18144], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/41472], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [30, 1]], 1/17280], [[[1, 2], [2, 3], [4, 1], [6, 3], [14, 1], [18, 1]], 1/72576], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [16, 1]], 1/896], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 2], [10, 1]], 1/8960], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [11, 1]], 1/7040], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [22, 1]], 23/56320], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 3/1792], [[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 1/71680], [[[1, 2], [2, 3], [4, 1], [10, 1], [12, 1], [22, 1]], 1/7040], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 1], [16, 1]], 1/8960], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [11, 1]], 1/16896], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 2]], 1/115200], [[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [14, 1]], 3/25088], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 2]], 1/51200], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 7/10240], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 2], [12, 1]], 1/9600], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [10, 1]], 1/51200], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [22, 1]], 1/11264], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/21504], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/4608], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [22, 1]], 7/168960], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/57600], [[[1, 2], [2, 3], [4, 2], [6, 1], [11, 1], [12, 1]], 1/6336], [[[1, 2], [2, 3], [4, 2], [6, 1], [12, 1], [22, 1]], 1/12672], [[[1, 2], [2, 3], [4, 2], [6, 2], [7, 1], [18, 1]], 1/12096], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/921600], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [30, 1]], 1/15360], [[[1, 2], [2, 3], [4, 2], [6, 2], [14, 1], [18, 1]], 1/64512], [[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [14, 1]], 1/1161216], [[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [18, 1]], 5/165888], [[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [14, 1]], 85/200704], [[[1, 2], [2, 3], [4, 2], [7, 1], [10, 1], [14, 1]], 11/62720], [[[1, 2], [2, 3], [4, 2], [7, 1], [12, 1], [14, 1]], 1/1792], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 9/10240], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 3], [5, 1], [7, 1], [8, 1]], 1/143360], [[[1, 2], [2, 3], [4, 3], [5, 2], [6, 1], [10, 1]], 1/230400], [[[1, 2], [2, 3], [4, 3], [6, 1], [7, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 13/49152], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 1/122880], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [30, 1]], 1/12288], [[[1, 2], [2, 3], [4, 3], [6, 1], [14, 1], [18, 1]], 5/258048], [[[1, 2], [2, 3], [4, 3], [6, 2], [8, 1], [18, 1]], 1/110592], [[[1, 2], [2, 3], [4, 3], [6, 2], [10, 1], [18, 1]], 1/69120], [[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [18, 1]], 1/20736], [[[1, 2], [2, 3], [4, 3], [8, 1], [10, 1], [14, 1]], 1/28672], [[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 1/10752], [[[1, 2], [2, 3], [4, 3], [10, 1], [12, 1], [14, 1]], 1/26880], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [7, 1]], 1/645120], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [10, 1]], 1/4423680], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [8, 1]], 1/258048], [[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [18, 1]], 1/2211840], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 1/2949120], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [11, 1]], 1/14080], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [22, 1]], 1/5280], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 1], [11, 1]], 1/13200], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 1], [22, 1]], 1/13200], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [18, 1]], 1/1800], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 1], [10, 2]], 1/144000], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1], [30, 1]], 1/3600], [[[1, 2], [2, 3], [5, 1], [6, 2], [14, 1], [18, 1]], 1/15120], [[[1, 2], [2, 3], [5, 1], [6, 3], [8, 1], [14, 1]], 1/181440], [[[1, 2], [2, 3], [5, 1], [6, 3], [8, 1], [18, 1]], 1/25920], [[[1, 2], [2, 3], [5, 1], [6, 3], [10, 1], [18, 1]], 1/6480], [[[1, 2], [2, 3], [5, 1], [7, 1], [8, 1], [14, 1]], 1/4480], [[[1, 2], [2, 3], [5, 2], [6, 2], [8, 1], [10, 1]], 1/28800], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [30, 1]], 1/1680], [[[1, 2], [2, 3], [6, 1], [7, 1], [14, 1], [18, 1]], 5/2352], [[[1, 2], [2, 3], [6, 1], [8, 1], [10, 1], [22, 1]], 1/21120], [[[1, 2], [2, 3], [6, 1], [8, 2], [10, 1], [18, 1]], 1/46080], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [16, 1]], 1/6720], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [30, 1]], 1/1120], [[[1, 2], [2, 3], [6, 1], [10, 1], [16, 1], [18, 1]], 1/2880], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [30, 1]], 1/5760], [[[1, 2], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/24192], [[[1, 2], [2, 3], [7, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 3]], 1/345600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 1/49152], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 7/172800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [13, 1]], 1/55296], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 5/112896], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [26, 1]], 125/718848], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [11, 1]], 1/76032], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [22, 1]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/221184], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 11/1036800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [7, 1]], 1/108864], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 17/1306368], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 35/186624], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 1/373248], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 23/2099520], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [22, 1]], 1/33792], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [14, 1]], 1/43008], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [11, 1]], 1/42240], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [22, 1]], 13/1013760], [[[1, 2], [2, 5], [3, 1], [4, 1], [11, 1], [12, 1]], 1/76032], [[[1, 2], [2, 5], [3, 1], [4, 1], [12, 1], [22, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [15, 1]], 17/737280], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [22, 1]], 1/11264], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 67/2764800], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 37/3483648], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 1/18432], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 7/995328], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 1/622080], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 43/1119744], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [9, 1]], 17/3096576], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [14, 1]], 1/86016], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 29/294912], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 1/30720], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [9, 1]], 1/3317760], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 2], [6, 1]], 1/11059200], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 5/98304], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 581/33177600], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 7/27648], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 19/1990656], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 131/5971968], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 29/7464960], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 19/331776], [[[1, 2], [2, 5], [3, 1], [4, 3], [10, 1], [14, 1]], 1/552960], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [8, 1]], 1/4423680], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 1/516096], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [18, 1]], 1/995328], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 1/331776], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 7/6635520], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 47/442368], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 1/2359296], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [10, 1]], 1/2949120], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 35/7077888], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [11, 1]], 1/190080], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [22, 1]], 1/15840], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 61/216000], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [15, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [14, 1]], 1/272160], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [18, 1]], 1/38880], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [8, 1]], 1/155520], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 7/155520], [[[1, 2], [2, 5], [3, 1], [5, 1], [7, 1], [9, 1]], 1/483840], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [10, 2]], 1/38400], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [15, 1]], 7/307200], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [15, 1]], 1/28800], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [8, 1]], 1/230400], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [11, 1]], 1/50688], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [22, 1]], 1/12672], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [14, 1]], 1/32256], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [22, 1]], 1/5280], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 17/201600], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [18, 1]], 1/21600], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1], [16, 1]], 1/16128], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [9, 1]], 1/145152], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [14, 1]], 1/3456], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 1/76800], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2160], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 29/36288], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 1/41472], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/9720], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 11/19440], [[[1, 2], [2, 5], [3, 1], [7, 1], [8, 1], [9, 1]], 1/184320], [[[1, 2], [2, 5], [3, 1], [7, 1], [8, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [3, 1], [7, 1], [9, 1], [10, 1]], 1/120960], [[[1, 2], [2, 5], [3, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/115200], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 1/172800], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [16, 1]], 1/18432], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [7, 1]], 1/145152], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 1/62208], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 1/72576], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1/31104], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/82944], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 7/34992], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 1/20736], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [9, 1]], 1/124416], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 1/32256], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 2], [4, 2], [9, 1], [10, 1]], 1/69120], [[[1, 2], [2, 5], [3, 2], [4, 2], [9, 1], [12, 1]], 1/124416], [[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [10, 1]], 1/6635520], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [7, 1]], 1/4644864], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [9, 1]], 1/1990656], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 1/1161216], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 1/294912], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 1/829440], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/9216], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 11/1327104], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [15, 1]], 1/51840], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/51840], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [9, 1]], 1/217728], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [10, 2]], 1/230400], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [30, 1]], 1/103680], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/435456], [[[1, 2], [2, 5], [3, 2], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [9, 1]], 1/41472], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 1/96768], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 1/90720], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/77760], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [11, 1]], 13/1013760], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [22, 1]], 1/10560], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 2]], 1/46080], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 43/576000], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 1/241920], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [18, 1]], 1/34560], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [8, 1]], 1/1244160], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 1/207360], [[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [14, 1]], 1/17920], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 347/768000], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [16, 1]], 13/122880], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 31/614400], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [16, 1]], 1/5120], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 2], [12, 1]], 1/19200], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/38400], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 1], [12, 1]], 1/57600], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 2]], 1/43008], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [10, 2]], 1/25200], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [11, 1]], 1/33792], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [22, 1]], 73/101376], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/14336], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1/27648], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [22, 1]], 11/23040], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 1/2880], [[[1, 2], [2, 5], [4, 1], [6, 1], [12, 1], [22, 1]], 1/6336], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [16, 1]], 1/10752], [[[1, 2], [2, 5], [4, 1], [6, 1], [16, 1], [18, 1]], 1/13824], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 95/677376], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [18, 1]], 1/10368], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 7/102400], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 11/55296], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 1/36864], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [16, 1]], 1/23040], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [30, 1]], 5/13824], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 1/115200], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 157/290304], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [10, 1]], 1/90720], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 43/1161216], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 65/165888], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/51840], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/5184], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 1/145152], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 1/20736], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/207360], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 71/86016], [[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 17/26880], [[[1, 2], [2, 5], [4, 1], [7, 1], [12, 1], [14, 1]], 11/32256], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 49/122880], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/18432], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [18, 1]], 1/69120], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/184320], [[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [10, 1]], 1/89600], [[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [12, 1]], 1/161280], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [14, 1]], 1/35840], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 11/89600], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 65/301056], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [18, 1]], 1/24192], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 11/115200], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 53/147456], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 193/737280], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [30, 1]], 9/40960], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 13/73728], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [8, 1]], 1/21504], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [10, 1]], 1/40320], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 5/96768], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 341/663552], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/46080], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 13/69120], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 1/10368], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 13/829440], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/311040], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [10, 1]], 1/15360], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [12, 1]], 1/64512], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 87/286720], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 1/21504], [[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 13/2211840], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/81920], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 1], [12, 1]], 1/15360], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/28672], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 1/221184], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 1/18432], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [14, 1]], 1/16128], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [18, 1]], 1/10368], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/36864], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/276480], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 37/1474560], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 2], [2, 5], [5, 1], [6, 1], [7, 1], [14, 1]], 1/6720], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 2]], 23/288000], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [10, 1]], 1/23040], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [16, 1]], 1/11520], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [30, 1]], 1/28800], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/120960], [[[1, 2], [2, 5], [5, 1], [6, 2], [8, 1], [14, 1]], 1/30240], [[[1, 2], [2, 5], [5, 1], [6, 2], [8, 1], [18, 1]], 7/103680], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 23/201600], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 43/64800], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 1], [10, 1]], 23/1036800], [[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [14, 1]], 1/19200], [[[1, 2], [2, 5], [5, 2], [6, 1], [8, 1], [10, 1]], 7/115200], [[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/3584], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 5/9408], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [18, 1]], 1/10080], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [30, 1]], 13/184320], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 13/774144], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 53/80640], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 1/622080], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 2]], 1/7372800], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 1/921600], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [15, 1]], 43/77414400], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 2]], 1/5529600], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [11, 1]], 1/1216512], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [22, 1]], 151/3041280], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 5/221184], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 683/5529600], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [7, 1]], 1/290304], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1753/20901888], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 163/995328], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 107/1990656], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 97/1866240], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 277/6718464], [[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [9, 1]], 43/325140480], [[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [14, 1]], 1/516096], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1/307200], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 31/8847360], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 1/184320], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 2], [12, 1]], 1/324000], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 5/884736], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 2879/221184000], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/55296], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 2143/92897280], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 67/4423680], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 59/2654208], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 91/4976640], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 23/279936], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/1032192], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 11/2580480], [[[1, 2], [2, 7], [3, 1], [4, 2], [12, 1], [14, 1]], 1/483840], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [10, 1]], 1/33177600], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 617/139345920], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [18, 1]], 11/104509440], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/294912], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1237/99532800], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 1043/26542080], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 19/53084160], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 73/265420800], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 199/17694720], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 227/6912000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [15, 1]], 1/1382400], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [14, 1]], 1/181440], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [18, 1]], 1/155520], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [8, 1]], 1/414720], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 173/3110400], [[[1, 2], [2, 7], [3, 1], [5, 1], [8, 1], [9, 1]], 1/5529600], [[[1, 2], [2, 7], [3, 1], [5, 1], [10, 1], [14, 1]], 1/201600], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [8, 1]], 1/18432000], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 1/460800], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [9, 1]], 1/5806080], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/24192], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 11/1228800], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 11/1843200], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [16, 1]], 1/230400], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [30, 1]], 1/1382400], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 1/5806080], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 11/516096], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 13/663552], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 179/580608], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 1303/6220800], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 11/622080], [[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 1/71680], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 1/5529600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2322432], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 1/995328], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 17/2322432], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 1/995328], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 5/663552], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/103680], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 19/373248], [[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [9, 1]], 1/6635520], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [9, 1]], 1/1990656], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 7/1105920], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 7/331776], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 1/16588800], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 1/207360], [[[1, 2], [2, 7], [3, 2], [5, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 2], [2, 7], [3, 2], [6, 1], [7, 1], [8, 1]], 1/7741440], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [9, 1]], 1/3317760], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 1/193536], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 1/362880], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 1/622080], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 2]], 1/460800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 167/1152000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 1/80640], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [18, 1]], 1/46080], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 1/622080], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 91/4147200], [[[1, 2], [2, 7], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8601600], [[[1, 2], [2, 7], [4, 1], [5, 1], [7, 1], [10, 1]], 1/806400], [[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [14, 1]], 1/537600], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 13/179200], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/102400], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 2461/27095040], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [18, 1]], 11/2540160], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 11/61440], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 41/1769472], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 31/1474560], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [16, 1]], 1/92160], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [30, 1]], 283/11059200], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 10267/46448640], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [10, 1]], 11/1209600], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 5/24192], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 2177/6635520], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 7/34560], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 337/829440], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 1/27648], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 17/207360], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 1/155520], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 171/573440], [[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 1/35840], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [7, 1]], 1/2580480], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 1/107520], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [18, 1]], 1/138240], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 1/184320], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 391/14745600], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 79/7372800], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 31/1382400], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [8, 1]], 1/245760], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [10, 1]], 1/161280], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 53/276480], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 2881/23224320], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 73/516096], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 2527/22118400], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 1/27648], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [18, 1]], 11/414720], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 1721/11059200], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/110592], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 1/51840], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 11/1105920], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 557/29491200], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 11/552960], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 7/276480], [[[1, 2], [2, 7], [5, 1], [6, 1], [8, 1], [14, 1]], 1/151200], [[[1, 2], [2, 7], [5, 1], [6, 1], [8, 1], [18, 1]], 11/3628800], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6300], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 7/103680], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 1177/55296000], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 41/1290240], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 7/552960], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 1/1658880], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [9, 1]], 1/464486400], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 2], [6, 1]], 1/1548288000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 13/17694720], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 23/2949120], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [7, 1]], 1/10160640], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 7543/278691840], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 2369/278691840], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 13009/836075520], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 4987/149299200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 34913/3762339840], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 1/2580480], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 19/15482880], [[[1, 2], [2, 9], [3, 1], [4, 1], [12, 1], [14, 1]], 37/365783040], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [8, 1]], 1/619315200], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 67/46448640], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 1/3096576], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 211/92897280], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 1723/464486400], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 13361/1672151040], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/4423680], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 1/46448640], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 1], [12, 1]], 1/14515200], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/23592960], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 2389/5573836800], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 1273/1486356480], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [14, 1]], 1/3628800], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [18, 1]], 1/10886400], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [8, 1]], 1/14515200], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 353/55296000], [[[1, 2], [2, 9], [3, 1], [5, 1], [8, 1], [10, 1]], 1/5529600], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 29/15482880], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [18, 1]], 1/1451520], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 1139/29030400], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 37/174182400], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 91/33177600], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/928972800], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [7, 1]], 1/650280960], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [9, 1]], 1/278691840], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 1/4644864], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 13/53084160], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 13/16588800], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 323/104509440], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 43/185794560], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/33177600], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 1/2764800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 1/537600], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [18, 1]], 1/1209600], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8294400], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 2731/221184000], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 5311/1548288000], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 1], [12, 1]], 1/2764800], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [10, 1]], 29/67737600], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 2333/54190080], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1153/92897280], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 3239/38707200], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 41/1658880], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [18, 1]], 1/725760], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 563/11059200], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 13/4147200], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1843200], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 23/7372800], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 4787/154828800], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 1/259200], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 431/387072000], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 1/58060800], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 1/132710400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [7, 1]], 1/2438553600], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 8363/11705057280], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 17/418037760], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 1541/2388787200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 5741/2786918400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 163369/601974374400], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 1/77414400], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 1], [12, 1]], 1/513216000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 503/11147673600], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 5497/55738368000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 30661/401316249600], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [8, 1]], 1/3483648000], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 7129/55738368000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 83/928972800], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/66355200], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [12, 1]], 1/3135283200], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 1/696729600], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 239/580608000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 8167/2972712960], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 31/232243200], [[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 1/13934592000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 23/5096079360], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 37801/1471492915200], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 610957/688658684313600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 3]], 1/61440], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [13, 1]], 1/4160], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [15, 1]], 1/1600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [26, 1]], 1/7488], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [8, 1]], 1/75264], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [13, 1]], 9/13312], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 5/12288], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [11, 1]], 1/1584], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [13, 1]], 1/8320], [[[1, 3], [2, 2], [3, 1], [4, 1], [11, 1], [14, 1]], 1/3696], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [13, 1]], 1/4992], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [14, 2]], 1/28224], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [26, 1]], 1/3744], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [11, 1]], 7/168960], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 1/57600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 3], [6, 1]], 1/192000], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [13, 1]], 5/59904], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [26, 1]], 5/59904], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [11, 1]], 1/11264], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 2], [10, 1], [22, 1]], 1/16896], [[[1, 3], [2, 2], [3, 1], [4, 2], [11, 1], [12, 1]], 1/12672], [[[1, 3], [2, 2], [3, 1], [4, 2], [12, 1], [22, 1]], 1/6336], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 1/122880], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [10, 2]], 1/230400], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [15, 1]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [6, 2]], 1/1382400], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [8, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [11, 1]], 1/152064], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [22, 1]], 1/304128], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [9, 1]], 5/258048], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [14, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 13/49152], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [9, 1]], 1/2211840], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 2], [6, 1]], 1/7372800], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [18, 1]], 1/497664], [[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [14, 1]], 1/258048], [[[1, 3], [2, 2], [3, 1], [4, 4], [10, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 1/2949120], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/589824], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [13, 1]], 1/9360], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [26, 1]], 1/9360], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [11, 1]], 1/47520], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [15, 1]], 1/1120], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [16, 1]], 1/6720], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [11, 1]], 1/21120], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 2], [9, 1]], 1/46080], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [16, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [5, 1], [10, 1], [11, 1]], 1/13200], [[[1, 3], [2, 2], [3, 1], [5, 1], [10, 1], [22, 1]], 1/13200], [[[1, 3], [2, 2], [3, 1], [5, 1], [14, 1], [15, 1]], 1/1680], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 2]], 1/153600], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [15, 1]], 1/3600], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [16, 1]], 1/19200], [[[1, 3], [2, 2], [3, 1], [5, 2], [9, 1], [10, 1]], 1/1800], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [13, 1]], 1/9984], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [26, 1]], 1/9984], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [13, 1]], 1/9360], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [26, 1]], 1/9360], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [16, 1]], 1/19200], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [30, 1]], 1/3600], [[[1, 3], [2, 2], [3, 1], [6, 2], [14, 1], [16, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [6, 2], [16, 1], [18, 1]], 1/3456], [[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [14, 1]], 5/2352], [[[1, 3], [2, 2], [3, 1], [8, 1], [10, 1], [11, 1]], 1/5280], [[[1, 3], [2, 2], [3, 1], [8, 1], [10, 1], [22, 1]], 1/14080], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [11, 1]], 1/63360], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [14, 1]], 1/100800], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [13, 1]], 1/5616], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [26, 1]], 1/44928], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [11, 1]], 1/25344], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [9, 1]], 1/55296], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [16, 1]], 1/6912], [[[1, 3], [2, 2], [3, 2], [4, 1], [10, 1], [22, 1]], 1/63360], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 2]], 1/46080], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [15, 1]], 1/15360], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/921600], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [10, 1]], 1/115200], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/2592], [[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [9, 1]], 1/64512], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 1/18432], [[[1, 3], [2, 2], [3, 2], [4, 2], [9, 1], [14, 1]], 1/12096], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [9, 1]], 1/69120], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 2], [6, 1]], 1/4147200], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [10, 2]], 1/1382400], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 1/3456], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [7, 1]], 1/580608], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [9, 1]], 1/248832], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [14, 1]], 1/580608], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [18, 1]], 1/248832], [[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [9, 1]], 1/110592], [[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [12, 1]], 1/20736], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [10, 1]], 1/4423680], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [7, 1]], 1/3096576], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [9, 1]], 11/3981312], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/82944], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 5/884736], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [11, 1]], 1/7920], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 1/12960], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [10, 2]], 1/28800], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [15, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 2], [10, 1]], 1/92160], [[[1, 3], [2, 2], [3, 2], [5, 1], [10, 1], [15, 1]], 1/3600], [[[1, 3], [2, 2], [3, 2], [5, 1], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 3], [2, 2], [3, 2], [5, 2], [8, 1], [10, 1]], 1/144000], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [8, 2]], 1/64512], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [16, 1]], 1/8064], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [9, 1]], 1/27648], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [16, 1]], 1/3456], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 1], [22, 1]], 1/47520], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [9, 1]], 1/54432], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1/12960], [[[1, 3], [2, 2], [3, 2], [6, 2], [14, 1], [18, 1]], 1/54432], [[[1, 3], [2, 2], [3, 2], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 3], [2, 2], [3, 2], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [15, 1]], 1/17280], [[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [9, 1]], 1/72576], [[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [14, 1]], 1/127008], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 1/41472], [[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [14, 1]], 1/18144], [[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [8, 1]], 1/1161216], [[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [9, 1]], 5/165888], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [7, 1]], 1/5225472], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [9, 1]], 1/746496], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [15, 1]], 1/2160], [[[1, 3], [2, 2], [3, 3], [5, 1], [9, 1], [10, 1]], 1/6480], [[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 1/3024], [[[1, 3], [2, 2], [3, 3], [7, 1], [8, 1], [10, 1]], 1/181440], [[[1, 3], [2, 2], [3, 3], [8, 1], [9, 1], [10, 1]], 1/25920], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [26, 1]], 1/8320], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 1/71680], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [10, 2]], 1/5600], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [16, 1]], 1/8960], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [11, 1]], 23/56320], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [22, 1]], 1/7040], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [14, 1]], 1/8960], [[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [11, 1]], 3/35200], [[[1, 3], [2, 2], [4, 1], [5, 1], [10, 1], [22, 1]], 3/35200], [[[1, 3], [2, 2], [4, 1], [5, 1], [11, 1], [12, 1]], 1/7040], [[[1, 3], [2, 2], [4, 1], [5, 2], [10, 1], [14, 1]], 1/5600], [[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [12, 1]], 1/108000], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [22, 1]], 1/7392], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 2], [12, 1]], 1/14112], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [26, 1]], 5/39936], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/4096], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [13, 1]], 1/2808], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [26, 1]], 7/44928], [[[1, 3], [2, 2], [4, 1], [6, 2], [16, 1], [18, 1]], 1/6912], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 3/1792], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 2], [10, 1]], 1/8960], [[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [11, 1]], 1/7040], [[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [22, 1]], 1/11264], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [16, 1]], 1/896], [[[1, 3], [2, 2], [4, 1], [10, 1], [12, 1], [22, 1]], 7/63360], [[[1, 3], [2, 2], [4, 1], [10, 1], [14, 1], [16, 1]], 1/8960], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [11, 1]], 1/16896], [[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [14, 1]], 11/62720], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 1/51200], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 9/10240], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 1/51200], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 1], [12, 1]], 1/9600], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [22, 1]], 1/67584], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 1/4608], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [22, 1]], 1/168960], [[[1, 3], [2, 2], [4, 2], [6, 1], [11, 1], [12, 1]], 1/6336], [[[1, 3], [2, 2], [4, 2], [6, 2], [7, 1], [18, 1]], 1/12096], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/18432], [[[1, 3], [2, 2], [4, 2], [6, 2], [10, 1], [30, 1]], 1/46080], [[[1, 3], [2, 2], [4, 2], [6, 2], [14, 1], [18, 1]], 1/193536], [[[1, 3], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 85/200704], [[[1, 3], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 3/25088], [[[1, 3], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 1/1792], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 7/10240], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [8, 1]], 1/28672], [[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 1], [10, 1]], 1/230400], [[[1, 3], [2, 2], [4, 3], [6, 1], [7, 1], [14, 1]], 1/129024], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 1/16384], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [10, 1]], 1/122880], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [30, 1]], 7/552960], [[[1, 3], [2, 2], [4, 3], [6, 1], [14, 1], [18, 1]], 1/331776], [[[1, 3], [2, 2], [4, 3], [6, 2], [8, 1], [18, 1]], 1/110592], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [12, 1]], 1/10752], [[[1, 3], [2, 2], [4, 3], [8, 1], [10, 1], [14, 1]], 1/143360], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [7, 1]], 1/645120], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [8, 1]], 1/258048], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [11, 1]], 1/14080], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [22, 1]], 1/10560], [[[1, 3], [2, 2], [5, 1], [6, 1], [10, 1], [11, 1]], 1/13200], [[[1, 3], [2, 2], [5, 1], [6, 1], [10, 1], [22, 1]], 1/13200], [[[1, 3], [2, 2], [5, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [5, 1], [6, 2], [10, 1], [30, 1]], 1/3600], [[[1, 3], [2, 2], [5, 1], [6, 2], [14, 1], [18, 1]], 1/15120], [[[1, 3], [2, 2], [5, 1], [7, 1], [8, 1], [14, 1]], 1/2240], [[[1, 3], [2, 2], [5, 2], [6, 2], [8, 1], [10, 1]], 1/28800], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [30, 1]], 1/1680], [[[1, 3], [2, 2], [6, 1], [7, 1], [14, 1], [18, 1]], 1/882], [[[1, 3], [2, 2], [6, 1], [10, 1], [14, 1], [30, 1]], 1/3360], [[[1, 3], [2, 2], [6, 1], [10, 1], [16, 1], [18, 1]], 1/5760], [[[1, 3], [2, 2], [7, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [11, 1]], 7/253440], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [22, 1]], 1/10560], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/345600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 2]], 1/37632], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 1/16384], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 11/288000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [13, 1]], 37/119808], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/16128], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [26, 1]], 53/119808], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [11, 1]], 1/19008], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [22, 1]], 13/38016], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/221184], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/115200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [16, 1]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [7, 1]], 1/108864], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [14, 1]], 5/435456], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 11/62208], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [16, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [11, 1]], 5/67584], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [22, 1]], 1/11264], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [16, 1]], 1/4608], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [11, 1]], 1/5280], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [22, 1]], 29/168960], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/33600], [[[1, 3], [2, 4], [3, 1], [4, 1], [11, 1], [12, 1]], 1/9504], [[[1, 3], [2, 4], [3, 1], [4, 1], [12, 1], [22, 1]], 5/38016], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/24576], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/15360], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [15, 1]], 25/147456], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [16, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/92160], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/153600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [11, 1]], 17/101376], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [22, 1]], 13/50688], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 13/110592], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 43/2764800], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 37/3483648], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 17/165888], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 7/995328], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 37/1119744], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 125/3096576], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 65/301056], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 161/294912], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 1/10240], [[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/387072], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [9, 1]], 1/414720], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 7/11059200], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 29/294912], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 197/11059200], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 1/387072], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 7/663552], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 37/663552], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/442368], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 7/1866240], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 19/331776], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/86016], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 1/8192], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 13/86016], [[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 11/430080], [[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [14, 1]], 1/32256], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 1/552960], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1/276480], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 1/368640], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 1/774144], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [9, 1]], 1/331776], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 19/6193152], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [18, 1]], 1/248832], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 1/165888], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 11/13271040], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 19/147456], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 1/276480], [[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 1/2211840], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 41/7077888], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 7/8847360], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 29/589824], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [11, 1]], 7/47520], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [22, 1]], 1/7920], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 23/72000], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [15, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [14, 1]], 1/27216], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/9720], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [8, 1]], 1/155520], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 7/155520], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [9, 1]], 37/483840], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 7/38400], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [15, 1]], 1/10240], [[[1, 3], [2, 4], [3, 1], [5, 1], [9, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [15, 1]], 7/28800], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [16, 1]], 1/3840], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [7, 1]], 1/67200], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [9, 1]], 1/21600], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [14, 1]], 1/33600], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [8, 1]], 1/76800], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 7/54000], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [11, 1]], 1/12672], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [22, 1]], 1/8448], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 1/43008], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [11, 1]], 1/15840], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [22, 1]], 1/3168], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 17/201600], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [18, 1]], 1/10800], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1], [16, 1]], 1/4032], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 55/84672], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [18, 1]], 1/6048], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/76800], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [16, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 1/1440], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 1/1344], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 1/41472], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/272160], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3888], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [9, 1]], 1/43008], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [14, 1]], 1/3584], [[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [7, 1], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/38400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [15, 1]], 7/69120], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 19/1036800], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/576000], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [12, 1]], 1/1036800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [11, 1]], 1/12672], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [22, 1]], 1/25344], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/73728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 1/18432], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/62208], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 73/1306368], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 5/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/82944], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 7/34992], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [9, 1]], 19/290304], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [14, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 5/55296], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [14, 1]], 1/8064], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [9, 1]], 1/276480], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 1/921600], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/12288], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/92160], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 7/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 5/193536], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 17/248832], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 11/193536], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 5/82944], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/73728], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 7/15552], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 11/221184], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 2], [9, 1], [12, 1]], 7/124416], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 11/1658880], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [8, 1]], 1/368640], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 7/6635520], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/663552], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 23/663552], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 1/290304], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 1/294912], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 13/1658880], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 11/27648], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 1/331776], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 1/552960], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 41/1327104], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 7/54000], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [15, 1]], 1/3240], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 1/30240], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 7/77760], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [14, 1]], 1/30240], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [18, 1]], 1/12960], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 11/77760], [[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [10, 1]], 1/21600], [[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [8, 1]], 1/691200], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 1/27000], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 17/108864], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 61/169344], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [14, 1]], 1/6048], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [30, 1]], 7/103680], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 1/62208], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/22680], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/9720], [[[1, 3], [2, 4], [3, 2], [8, 1], [9, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [16, 1]], 1/27648], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 55/1306368], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 13/62208], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/24192], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 1/7776], [[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [10, 1]], 1/725760], [[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [12, 1]], 1/1306368], [[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [10, 1]], 1/20736], [[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [12, 1]], 1/186624], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 1/552960], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [7, 1]], 1/387072], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 1/18432], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 1/73728], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 19/62208], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/442368], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 1/36864], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 19/155520], [[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [8, 1]], 1/870912], [[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [10, 1]], 1/30240], [[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [9, 1]], 1/124416], [[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [11, 1]], 29/168960], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [22, 1]], 1/4224], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 1/23040], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 43/576000], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 1/241920], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 7/103680], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [8, 1]], 1/1244160], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 1/207360], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 41/62720], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 163/256000], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 29/61440], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 157/614400], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [16, 1]], 3/5120], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 1/6400], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [7, 1]], 1/33600], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/23040], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 49/256000], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 1], [12, 1]], 7/57600], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 1/14336], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [11, 1]], 1/11264], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [22, 1]], 17/33792], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 5/86016], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/36864], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [11, 1]], 1/10560], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [22, 1]], 61/253440], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 1/5760], [[[1, 3], [2, 4], [4, 1], [6, 1], [11, 1], [12, 1]], 1/12672], [[[1, 3], [2, 4], [4, 1], [6, 1], [12, 1], [22, 1]], 1/4752], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 4], [4, 1], [6, 1], [16, 1], [18, 1]], 1/3456], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 29/225792], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [18, 1]], 5/24192], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 1/184320], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 7/27648], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 1/46080], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [16, 1]], 1/23040], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 5/13824], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 2], [12, 1]], 7/1036800], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 109/290304], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [10, 1]], 1/181440], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 5/1161216], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/6144], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/103680], [[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [14, 1]], 1/186624], [[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 7/186624], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 103/37632], [[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 73/62720], [[[1, 3], [2, 4], [4, 1], [7, 1], [12, 1], [14, 1]], 1/1152], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 3/4096], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 7/153600], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [18, 1]], 1/23040], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 1/184320], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 11/286720], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 13/89600], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [12, 1]], 1/23040], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/4480], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 23/89600], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 1/15360], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 41/100352], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [18, 1]], 1/6048], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 9/102400], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 113/147456], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 71/245760], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/30720], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [30, 1]], 133/368640], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 325/1548288], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 5/64512], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [10, 1]], 1/40320], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/28672], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 121/221184], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/107520], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 23/138240], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 1/10368], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 13/1658880], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 97/286720], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 1/7168], [[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [7, 1]], 31/1290240], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/147456], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 3/81920], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 1/5120], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 13/86016], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 1/53760], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [12, 1]], 1/32256], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/24576], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 7/55296], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/55296], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 31/829440], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 1/32256], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 1/55296], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1/368640], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/163840], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 7/245760], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/92160], [[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [14, 1]], 1/2240], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 7/96000], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/30720], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [16, 1]], 1/2880], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [30, 1]], 7/28800], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/17280], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [18, 1]], 1/11520], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 23/201600], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 1/1800], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 19/1036800], [[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 1/44800], [[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 3/44800], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/4608], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 5/10752], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 5/9408], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [30, 1]], 13/92160], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 13/387072], [[[1, 3], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 29/80640], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/34560], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 1/186624], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 7/2457600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 473/4608000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [15, 1]], 43/3686400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 13/5529600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [8, 1]], 1/921600], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [11, 1]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [22, 1]], 1879/6082560], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 13/110592], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 131/552960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 5/145152], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 727/3483648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 109/165888], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 7/73728], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 37/622080], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 43/746496], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [9, 1]], 43/15482880], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 1/12288], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 7/230400], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 77/2949120], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/30720], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 1/86400], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/92160], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [9, 1]], 17/4423680], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 17/14745600], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 559/1769472], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 3011/22118400], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 1/6144], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 1/24576], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 5/193536], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/82944], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 1315/9289728], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 307/1327104], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 175/884736], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 413/4976640], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1247/4478976], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 1/107520], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [12, 1]], 1/193536], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 19/1032192], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1/46080], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [12, 1]], 1/82944], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 83/2580480], [[[1, 3], [2, 6], [3, 1], [4, 2], [12, 1], [14, 1]], 11/483840], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 1/552960], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 17/5898240], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 137/16588800], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 1/552960], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 1/3096576], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 319/4644864], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 13/829440], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 11/110592], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 241/4976640], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 305/884736], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 17/368640], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 1/138240], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/4423680], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 491/13271040], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 151/10616832], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 191/1966080], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 5/18432], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [15, 1]], 7/460800], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [9, 1]], 1/207360], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 31/725760], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 17/311040], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [8, 1]], 7/414720], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 101/388800], [[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [8, 1]], 1/6451200], [[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [9, 1]], 11/2764800], [[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 1/172800], [[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 1/28800], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [8, 1]], 7/6144000], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 407/6912000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 1/276480], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 83/169344], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 77/3686400], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/73728], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [16, 1]], 11/230400], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 7/460800], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 1/276480], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 1/64512], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 109/1548288], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 5/73728], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 617/1451520], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 313/622080], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 7/207360], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 11/414720], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [9, 1]], 1/829440], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 1/16588800], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 1/55296], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 103/16588800], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 61/2322432], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 7/331776], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 863/6967296], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 7/331776], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 395/1990656], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 17/93312], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 5/11664], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [9, 1]], 7/2211840], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/387072], [[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [10, 1]], 1/82944], [[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [12, 1]], 1/248832], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/483840], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 17/8847360], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 17/6193152], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 103/7962624], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 5/387072], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 127/1327104], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 61/1105920], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 325/995328], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/184320], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 1/331776], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1/6635520], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 1/294912], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 11/16588800], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 101/1769472], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 1/967680], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [9, 1]], 7/1244160], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 1/60480], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 43/345600], [[[1, 3], [2, 6], [3, 2], [5, 1], [8, 1], [10, 1]], 7/3686400], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 1/368640], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/241920], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [9, 1]], 41/3317760], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/103680], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 13/362880], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 1/77760], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 11/276480], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [7, 1]], 1/20901888], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 1/331776], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 1/331776], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/46080], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 1/41472], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/276480], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 1/497664], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 1/622080], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 37/921600], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 581/1152000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [7, 1]], 1/161280], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 17/207360], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 13/622080], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 317/4147200], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [8, 1]], 41/8601600], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 137/1612800], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/33600], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 9/22400], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 109/921600], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 1853/3612672], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [18, 1]], 1/15120], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 7/38400], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1253/8847360], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 19/294912], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 7/92160], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [30, 1]], 259/2211840], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 17/518400], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 4483/9289728], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 5/129024], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 11/241920], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 7/27648], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 809/1327104], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 41/241920], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 43/82944], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 17/435456], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 35/373248], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 1/116640], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/21504], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 913/1720320], [[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/13824], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 13/2580480], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [18, 1]], 1/23040], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 7/184320], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 631/7372800], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 2641/7372800], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 1/6144], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 271/5160960], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [10, 1]], 1/23040], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 11/21504], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 673/1105920], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 137/516096], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 29/73728], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 1/12096], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 1/10368], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 563/2211840], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 941/11059200], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 709/2949120], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 11/110592], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 7/184320], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [8, 1]], 1/215040], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [14, 1]], 1/40320], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [18, 1]], 1/57600], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 37/100800], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 1/3600], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 173/2211840], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 31/645120], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 13/368640], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 97/14929920], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/67737600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [9, 1]], 11/116121600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 1/806400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 43/1548288000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 217/17694720], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 17411/221184000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 1/1105920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 457/162570240], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 6029/30965760], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 1817/18579456], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 2111/15925248], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 763/4147200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 3169/59719680], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/7741440], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1/4423680], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 3/573440], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 299/25804800], [[[1, 3], [2, 8], [3, 1], [4, 1], [12, 1], [14, 1]], 23/20321280], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/245760], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 1/9676800], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 1/884736], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 13/15482880], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 1/1327104], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 1189/26542080], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 13/2322432], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 241/2322432], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 12857/132710400], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 4345/47775744], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 11/2211840], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 29/46448640], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 11/7257600], [[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 1/8847360], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 157/14155776], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 10967/796262400], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 337/11796480], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [9, 1]], 1/8294400], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 47/7257600], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [18, 1]], 11/5443200], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [8, 1]], 11/7257600], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 13531/165888000], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 13/3686400], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 1/5160960], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [10, 1]], 1/403200], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 17/1290240], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 19/3870720], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 173/1036800], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 407/87091200], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 37/1843200], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 11/6635520], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [8, 1]], 1/66355200], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 43/928972800], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 43/650280960], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 47/92897280], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 41/8709120], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 1/1451520], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 169/5898240], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 119/3981312], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 5279/104509440], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/1658880], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/1327104], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 1/737280], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 2999/557383680], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 1/11059200], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 517/165888000], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 13/2764800], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/26542080], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 11/19906560], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3686400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/71680], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 241/29030400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 43/8294400], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 20461/221184000], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 26569/516096000], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 23/2764800], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 17/5160960], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 47/4838400], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 361/2064384], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 23/290304], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 953/3870720], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 31/245760], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 277/17418240], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 73/7464960], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 313/2211840], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 71/6220800], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 61/7372800], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 917/14745600], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 5167/22118400], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 13/1105920], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 503/27648000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 43/87091200], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 13/990904320], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 323/1161216000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 59/2786918400], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 3511/278691840], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 83/139345920], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 289/23224320], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 209/6635520], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 4007/1114767360], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 19/51609600], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 19/522547200], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 19/206438400], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 5549/1592524800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 16549/3715891200], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 176177/80263249920], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [8, 1]], 23/1741824000], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 35717/11147673600], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 359/309657600], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 1/928972800], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 11/74317824], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 641/1393459200], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 14419/200658124800], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 43/174182400], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 39421/4644864000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 28061/1238630400], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 127/99532800], [[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 23/5225472000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 9917/59454259200], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1754267/2452488192000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 2741/105106636800], [[[1, 3], [3, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 1/21120], [[[1, 3], [3, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/40320], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/2880], [[[1, 3], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/12096], [[[1, 3], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/2304], [[[1, 3], [3, 2], [4, 1], [5, 1], [8, 1], [15, 1]], 1/5760], [[[1, 3], [3, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 1/61440], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [13, 1]], 1/4160], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [15, 1]], 1/1600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/288000], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 1/37632], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [13, 1]], 71/119808], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 1/4096], [[[1, 4], [2, 1], [3, 1], [4, 1], [9, 1], [11, 1]], 1/1584], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [13, 1]], 1/24960], [[[1, 4], [2, 1], [3, 1], [4, 1], [11, 1], [14, 1]], 1/7392], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 1], [13, 1]], 1/14976], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [11, 1]], 1/15360], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/67200], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [9, 1]], 1/28800], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 3], [6, 1]], 1/192000], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/21504], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [11, 1]], 5/67584], [[[1, 4], [2, 1], [3, 1], [4, 2], [11, 1], [12, 1]], 1/6336], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [15, 1]], 13/184320], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [8, 1]], 1/76800], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [11, 1]], 1/304128], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [9, 1]], 13/774144], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [14, 1]], 1/129024], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 11/49152], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [7, 1]], 1/2580480], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [9, 1]], 1/1105920], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 2], [6, 1]], 1/7372800], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 1/2949120], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [8, 2]], 1/53760], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [15, 1]], 1/1120], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [16, 1]], 1/6720], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 1], [11, 1]], 1/21120], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [9, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [16, 1]], 1/5760], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 2]], 1/153600], [[[1, 4], [2, 1], [3, 1], [5, 2], [9, 1], [10, 1]], 1/1800], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [13, 1]], 1/29952], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [26, 1]], 1/29952], [[[1, 4], [2, 1], [3, 1], [7, 1], [9, 1], [14, 1]], 1/1008], [[[1, 4], [2, 1], [3, 1], [8, 1], [10, 1], [11, 1]], 1/10560], [[[1, 4], [2, 1], [3, 1], [8, 1], [10, 1], [22, 1]], 1/42240], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [11, 1]], 1/63360], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [14, 1]], 1/100800], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [13, 1]], 1/22464], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [26, 1]], 1/44928], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [11, 1]], 1/12672], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 2], [9, 1]], 1/55296], [[[1, 4], [2, 1], [3, 2], [4, 1], [10, 1], [22, 1]], 1/63360], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 2]], 1/46080], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [15, 1]], 1/15360], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/921600], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [10, 1]], 1/115200], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [12, 1]], 1/172800], [[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/64512], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 1/18432], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [9, 1]], 1/69120], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 2], [6, 1]], 1/4147200], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/3456], [[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [12, 1]], 1/20736], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [10, 1]], 1/4423680], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [7, 1]], 1/3096576], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [9, 1]], 1/1327104], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 5/884736], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [11, 1]], 1/7920], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3024], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [15, 1]], 1/5760], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 2], [10, 1]], 1/92160], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 4], [2, 1], [3, 2], [5, 2], [8, 1], [10, 1]], 1/144000], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [8, 2]], 1/64512], [[[1, 4], [2, 1], [3, 2], [6, 1], [8, 2], [9, 1]], 1/27648], [[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [15, 1]], 1/17280], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/345600], [[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [9, 1]], 1/72576], [[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [14, 1]], 1/127008], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/41472], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 1], [14, 1]], 1/18144], [[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [7, 1]], 1/725760], [[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [9, 1]], 1/103680], [[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [8, 1]], 1/1161216], [[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [12, 1]], 1/217728], [[[1, 4], [2, 1], [3, 3], [4, 2], [8, 1], [9, 1]], 5/165888], [[[1, 4], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 1/31104], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [7, 1]], 1/5225472], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [9, 1]], 1/746496], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1/2160], [[[1, 4], [2, 1], [3, 3], [5, 1], [9, 1], [10, 1]], 1/6480], [[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/3024], [[[1, 4], [2, 1], [3, 3], [7, 1], [8, 1], [10, 1]], 1/181440], [[[1, 4], [2, 1], [3, 3], [8, 1], [9, 1], [10, 1]], 1/25920], [[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [8, 1]], 1/435456], [[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 1/62208], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [26, 1]], 1/24960], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 2]], 1/71680], [[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 1/3072], [[[1, 4], [2, 1], [4, 1], [5, 1], [10, 1], [11, 1]], 1/35200], [[[1, 4], [2, 1], [4, 1], [5, 1], [10, 1], [22, 1]], 1/35200], [[[1, 4], [2, 1], [4, 1], [5, 1], [11, 1], [12, 1]], 1/21120], [[[1, 4], [2, 1], [4, 1], [5, 3], [6, 1], [12, 1]], 1/108000], [[[1, 4], [2, 1], [4, 1], [6, 1], [7, 2], [12, 1]], 1/28224], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 1], [13, 1]], 1/11232], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 1], [26, 1]], 1/44928], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 3/3584], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [16, 1]], 1/3584], [[[1, 4], [2, 1], [4, 1], [10, 1], [12, 1], [22, 1]], 1/63360], [[[1, 4], [2, 1], [4, 2], [5, 1], [7, 1], [14, 1]], 1/17920], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 3/10240], [[[1, 4], [2, 1], [4, 2], [5, 2], [10, 1], [12, 1]], 1/9600], [[[1, 4], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/28672], [[[1, 4], [2, 1], [4, 2], [7, 1], [12, 1], [14, 1]], 1/5376], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 7/18432], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [8, 1]], 1/35840], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/26880], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/49152], [[[1, 4], [2, 1], [4, 3], [6, 1], [10, 1], [30, 1]], 1/552960], [[[1, 4], [2, 1], [4, 3], [6, 1], [14, 1], [18, 1]], 1/2322432], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 1/10752], [[[1, 4], [2, 1], [5, 1], [6, 1], [8, 1], [11, 1]], 1/42240], [[[1, 4], [2, 1], [5, 1], [7, 1], [8, 1], [14, 1]], 1/4480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [11, 1]], 61/253440], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [22, 1]], 1/10560], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [14, 1]], 1/33600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 11/288000], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/16128], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 1/16384], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [13, 1]], 53/119808], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/37632], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [26, 1]], 37/119808], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [11, 1]], 1/25344], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [22, 1]], 1/12672], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [16, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 5/86016], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [11, 1]], 17/33792], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [22, 1]], 1/11264], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 1/14336], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [16, 1]], 1/3456], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [11, 1]], 1/4224], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [22, 1]], 29/168960], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 2], [14, 1]], 1/33600], [[[1, 4], [2, 3], [3, 1], [4, 1], [11, 1], [12, 1]], 1/4752], [[[1, 4], [2, 3], [3, 1], [4, 1], [12, 1], [22, 1]], 1/12672], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 71/245760], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [15, 1]], 133/368640], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/92160], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 9/102400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 7/153600], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [11, 1]], 13/50688], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [22, 1]], 17/101376], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/12288], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 1/921600], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 7/20736], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 1/387072], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 325/1548288], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 41/100352], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 113/147456], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 1/57600], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/55296], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 31/829440], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 197/11059200], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 29/294912], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 7/11059200], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/2304], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 1/290304], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/663552], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 23/663552], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/442368], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/24576], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 1/32256], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 7/55296], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 13/86016], [[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [12, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 31/1290240], [[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 1/32256], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 1/552960], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 7/245760], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/163840], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 19/6193152], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [9, 1]], 1/248832], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 1/774144], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [18, 1]], 1/331776], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1/331776], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 41/1327104], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1/368640], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 1/12288], [[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 7/8847360], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 41/7077888], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 1/2211840], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 29/589824], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [11, 1]], 1/3168], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [22, 1]], 1/15840], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 1/27000], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [15, 1]], 7/103680], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [14, 1]], 1/30240], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/12960], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 29/80640], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 5/9408], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/4608], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [15, 1]], 13/92160], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [14, 1]], 1/5040], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [15, 1]], 7/28800], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [16, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 17/201600], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [9, 1]], 1/10800], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [14, 1]], 1/33600], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 1/76800], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 7/54000], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [10, 1]], 7/96000], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 1/43008], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [16, 1]], 1/4032], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [11, 1]], 1/8448], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [22, 1]], 1/12672], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [11, 1]], 1/7920], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [22, 1]], 7/47520], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/67200], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 1/21600], [[[1, 4], [2, 3], [3, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 1/62208], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 61/169344], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [18, 1]], 1/6048], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 1/691200], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 1/3240], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 17/108864], [[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [14, 1]], 1/870912], [[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [18, 1]], 1/124416], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 13/387072], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 5/10752], [[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [7, 1], [10, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 1/46080], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [15, 1]], 5/13824], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [16, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/41472], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 1/184320], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 43/576000], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [12, 1]], 7/1036800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [11, 1]], 13/38016], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [22, 1]], 1/19008], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/73728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 19/1036800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 1/24192], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 55/1306368], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 13/62208], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 109/290304], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 29/225792], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 7/27648], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [14, 1]], 5/24192], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/107520], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 23/138240], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 43/2764800], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 13/110592], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/92160], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 11/193536], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 5/82944], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 5/193536], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 17/248832], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/73728], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 19/62208], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/28672], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 121/221184], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 5/64512], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 1/10368], [[[1, 4], [2, 3], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 13/1658880], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/46080], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/147456], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 7/663552], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 37/663552], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 1/387072], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 1/294912], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 11/1658880], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 11/27648], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 1/55296], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 11/13271040], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 1/165888], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 1/552960], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 19/147456], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 7/54000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 1/1440], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [16, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/22680], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/9720], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [14, 1]], 1/30240], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/12960], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 19/155520], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 23/201600], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 1/1800], [[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 23/72000], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 1/1344], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 55/84672], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [10, 2]], 1/76800], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [14, 1]], 1/6048], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [30, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/48384], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [10, 1]], 1/30240], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 1/32256], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 1/12960], [[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/30240], [[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 7/77760], [[[1, 4], [2, 3], [3, 2], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 4], [2, 3], [3, 2], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 1/103680], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [14, 1]], 1/181440], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 1/115200], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/345600], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [16, 1]], 1/27648], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 73/1306368], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 5/20736], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/20736], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/62208], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 1/7776], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 5/1161216], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 1/241920], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [12, 1]], 1/186624], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/6144], [[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [10, 1]], 7/103680], [[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [12, 1]], 7/186624], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 1/138240], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 13/1658880], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 1/184320], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 37/3483648], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 17/165888], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 1/73728], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 7/15552], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 7/1866240], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/442368], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 19/331776], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/272160], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3888], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 11/77760], [[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [10, 1]], 19/1036800], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 1/41472], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [10, 1]], 1/27216], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/9720], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 1/207360], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [7, 1]], 5/435456], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 11/62208], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 1/108864], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 7/34992], [[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [10, 1]], 1/1244160], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 7/995328], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 37/1119744], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 7/155520], [[[1, 4], [2, 3], [3, 4], [6, 1], [8, 1], [10, 1]], 1/155520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [11, 1]], 29/168960], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [22, 1]], 1/5280], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/46080], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/576000], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/725760], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 1/20736], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 73/62720], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 49/256000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 3/4096], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 157/614400], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [16, 1]], 3/5120], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 7/57600], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/33600], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/38400], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 163/256000], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 1/6400], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 1/14336], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [11, 1]], 1/11264], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [22, 1]], 5/67584], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [11, 1]], 1/10560], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [22, 1]], 7/253440], [[[1, 4], [2, 3], [4, 1], [6, 1], [11, 1], [12, 1]], 5/38016], [[[1, 4], [2, 3], [4, 1], [6, 1], [12, 1], [22, 1]], 1/9504], [[[1, 4], [2, 3], [4, 1], [6, 1], [14, 1], [16, 1]], 1/10752], [[[1, 4], [2, 3], [4, 1], [6, 1], [16, 1], [18, 1]], 1/4608], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/32256], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [18, 1]], 1/8064], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 5/55296], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 7/69120], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 2], [12, 1]], 1/1036800], [[[1, 4], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 19/290304], [[[1, 4], [2, 3], [4, 1], [6, 3], [12, 1], [14, 1]], 1/1306368], [[[1, 4], [2, 3], [4, 1], [6, 3], [12, 1], [18, 1]], 1/186624], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 103/37632], [[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 41/62720], [[[1, 4], [2, 3], [4, 1], [7, 1], [12, 1], [14, 1]], 1/1152], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 29/61440], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/10240], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/153600], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [18, 1]], 1/23040], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 1/552960], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 97/286720], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 23/89600], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/3840], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 13/89600], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/15360], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 1/28800], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 65/301056], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [18, 1]], 1/8064], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 161/294912], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/24576], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [16, 1]], 1/30720], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [30, 1]], 25/147456], [[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 125/3096576], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 11/221184], [[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/276480], [[[1, 4], [2, 3], [4, 2], [6, 2], [12, 1], [18, 1]], 7/124416], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 1/7168], [[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 11/286720], [[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 1/9216], [[[1, 4], [2, 3], [4, 2], [10, 1], [12, 1], [14, 1]], 1/23040], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 11/430080], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 7/6635520], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 3/81920], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 1/5120], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 13/86016], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/53760], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 1/32256], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/86016], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 1/8192], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/387072], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [10, 1]], 1/368640], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 1/276480], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 1/368640], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/276480], [[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/2240], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [16, 1]], 1/3840], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [30, 1]], 7/28800], [[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/17280], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [18, 1]], 1/34560], [[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/21600], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 3/44800], [[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/44800], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 7/38400], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 1/3584], [[[1, 4], [2, 3], [6, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [6, 1], [7, 1], [10, 1], [18, 1]], 1/10080], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [30, 1]], 1/10240], [[[1, 4], [2, 3], [6, 1], [8, 1], [14, 1], [18, 1]], 1/43008], [[[1, 4], [2, 3], [6, 1], [10, 1], [14, 1], [18, 1]], 37/483840], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 7/466560], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/81920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 803/2304000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [15, 1]], 341/3686400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 1/30720], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 151/2764800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 13/921600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 113/1152000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [12, 1]], 1/345600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [11, 1]], 97/405504], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [22, 1]], 49/101376], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 13/73728], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 67/552960], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 1/6912], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 19/290304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 523/3483648], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 295/497664], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 85/1990656], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/116640], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 17/746496], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 1301/15482880], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 251/516096], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 41/460800], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 149/983040], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [14, 1]], 1/6912], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/86400], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/55296], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 127/5160960], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 71/2211840], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/17920], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 89/2949120], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 553/589824], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 5/32768], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 35/82944], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 1/8192], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 53/387072], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 1/62208], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 533/3096576], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 199/442368], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 571/2654208], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 343/4976640], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 413/1492992], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 107/1032192], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/17920], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 1/24192], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 79/442368], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 5/21504], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [12, 1]], 11/124416], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 3/35840], [[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 5/96768], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 11/368640], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 221/5898240], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 149/2073600], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 7/552960], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 53/774144], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 91/1990656], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 205/1548288], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 61/995328], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 109/442368], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 7/138240], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1511/2654208], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 23/184320], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 7/55296], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 1/34560], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 19/1474560], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1601/10616832], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 157/5898240], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1529/5308416], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 361/691200], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [15, 1]], 5/82944], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [16, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/17280], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/8960], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 13/103680], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 1/46080], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 203/777600], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 1/307200], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 19/201600], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [9, 1]], 37/1843200], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 1/9600], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 13/67200], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 17/1843200], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1177/3456000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 25/1741824], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 17/12096], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 119/5529600], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 1/122880], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [16, 1]], 1/9216], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 5/82944], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 25/1741824], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 5/96768], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/6720], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 151/2322432], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 95/995328], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 313/1451520], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 257/622080], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 11/622080], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 1], [10, 1]], 1/161280], [[[1, 4], [2, 5], [3, 1], [8, 1], [9, 1], [10, 1]], 1/69120], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/23040], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/15360], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 1/30720], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 97/16588800], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 11/110592], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 97/1658880], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 1/9216], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 73/387072], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 59/497664], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 139/497664], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 59/497664], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 649/1990656], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 79/373248], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 7/10368], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/32256], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [12, 1]], 1/290304], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1/27648], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 19/387072], [[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 53/414720], [[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [12, 1]], 1/27648], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/69120], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 71/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 7/552960], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1921/44236800], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 1/414720], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 341/6193152], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 653/2654208], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1/8064], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 1/248832], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 265/663552], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 517/3317760], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 569/497664], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 41/552960], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 1/41472], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 49/3317760], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 17/110592], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 19/663552], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1691/5308416], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 17/414720], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 131/1244160], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/8640], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/18432], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2400], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/122880], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 13/774144], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 19/241920], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 19/331776], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 11/120960], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 1/38880], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 7/92160], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 73/1866240], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 13/1382400], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [12, 1]], 1/1866240], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 481/20901888], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 11/110592], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 5/145152], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 275/1990656], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 5/82944], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 5/15552], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/69120], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 1/552960], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 35/884736], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/92160], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 5/62208], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 1/1244160], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 91/1555200], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 1/5971968], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 7/622080], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 1/1119744], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/9216], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 529/1152000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/53760], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 17/241920], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 37/207360], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 7/207360], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 269/4147200], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 7/61440], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 83/179200], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [12, 1]], 1/35840], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/4480], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 191/268800], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/15360], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 91/256000], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [12, 1]], 1/345600], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 751/903168], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [18, 1]], 5/24192], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 13/230400], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 439/1769472], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/18432], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/10240], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [30, 1]], 77/442368], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 11/518400], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 3457/9289728], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 11/129024], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 1/26880], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 83/774144], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 59/165888], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/30240], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 89/414720], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 11/435456], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 35/373248], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 11/1658880], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 1/233280], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 13/53760], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 83/215040], [[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/13824], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 13/215040], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 1/11520], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 7/69120], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 151/1474560], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 323/307200], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 11/138240], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 11/30720], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 17/64512], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/10752], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 1/32256], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 55/129024], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 49/73728], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 53/344064], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1367/4423680], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 17/193536], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 37/248832], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 253/2211840], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/20736], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 7/414720], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 17/138240], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 41/368640], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1151/8294400], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 1/46080], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 761/2949120], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 7/36864], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/36864], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 1/43008], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 43/201600], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [18, 1]], 1/34560], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 11/33600], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 1/3200], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 353/5529600], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/43008], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 11/276480], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 55/1492992], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 17/13547520], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 893/232243200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 11/806400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 569/221184000], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 389/5898240], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 971/4915200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 31/1105920], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 131/2903040], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 1/124416], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 2657/6193152], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 2765/7962624], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 4363/15925248], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 3643/14929920], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 4009/35831808], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 97/30965760], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 1/215040], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [12, 1]], 1/1161216], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 1/207360], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 13/573440], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1/92160], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [12, 1]], 1/497664], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1369/25804800], [[[1, 4], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 13/2903040], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 11/245760], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 11/1228800], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 2249/44236800], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 1/552960], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 1847/61931520], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 5/497664], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 3739/15482880], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 17/442368], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 1187/2211840], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 10813/33177600], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 5495/15925248], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 103/1474560], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1/103680], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/115200], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 151/17694720], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 15647/70778880], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 3703/33177600], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 22139/106168320], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 13/4838400], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 11/4147200], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 1/26880], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 1/86400], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 13/921600], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 17129/55296000], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 5/221184], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 1/184320], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 3/89600], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [9, 1]], 1/331776], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 1759/46448640], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 121/8709120], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 4153/14515200], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 601/24883200], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 1489/33177600], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 67/2211840], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 1/1036800], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 77/26542080], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 103/30965760], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 523/39813120], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 2563/69672960], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 31/4354560], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 13763/53084160], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 20137/99532800], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 487/1658880], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 13/1658880], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 71/26542080], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 247/6635520], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 263/6635520], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 5717/79626240], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 11/5529600], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 6517/165888000], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/57600], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/2985984], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 263/79626240], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 37/8294400], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 181/19906560], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 13/2867200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 71/1209600], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 37/907200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 119/2764800], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 17459/73728000], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 17921/73728000], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 427/8294400], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 227/5160960], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 17/322560], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 1021/3870720], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 463/2654208], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 31/110592], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 737/3317760], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 139/4354560], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 11/408240], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 119/884736], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 103/6220800], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 799/11059200], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 2069/7372800], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1973/4423680], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 299/6635520], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 31/663552], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 817/11059200], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 8353/1393459200], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 731/1651507200], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 9997/2322432000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 47/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 11/39813120], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 2381/32514048], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 233/46448640], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 943/11612160], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 5741/39813120], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 70373/3344302080], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 71/19353600], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1/3628800], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 523/206438400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 6173/123863040], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 38299/743178240], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 9745/445906944], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 3/11468800], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 26111/928972800], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 5861/928972800], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 47/154828800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 197/61931520], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 295/55738368], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 2813/1486356480], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 647/154828800], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 21997/387072000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 29363/412876800], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 3347/696729600], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 81379/668860416000], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 407227/178362777600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 242927/33443020800], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 5563/16721510400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [11, 1]], 11/23040], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 1/2880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [14, 1]], 1/25200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 7/172800], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 5/112896], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 1/49152], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [13, 1]], 125/718848], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [26, 1]], 1/55296], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/14336], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [16, 1]], 1/10752], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [11, 1]], 73/101376], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [22, 1]], 1/33792], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/43008], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [16, 1]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [11, 1]], 1/10560], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [22, 1]], 13/1013760], [[[1, 5], [2, 2], [3, 1], [4, 1], [11, 1], [12, 1]], 1/6336], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 193/737280], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [15, 1]], 9/40960], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 11/115200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 1/57600], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [11, 1]], 1/11264], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 1/20736], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 13/73728], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 65/301056], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 53/147456], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/30720], [[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [14, 1]], 1/24192], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 581/33177600], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 5/98304], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 1/11059200], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 7/27648], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 1/1161216], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/4644864], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 1/1990656], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/28672], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [12, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 1/221184], [[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [12, 1]], 1/10368], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 37/1474560], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/276480], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/92160], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 1/516096], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1]], 1/995328], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 11/1327104], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 1/2949120], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 1/2359296], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 35/7077888], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [11, 1]], 1/5280], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [15, 1]], 1/103680], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 53/80640], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 5/9408], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 7/115200], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [15, 1]], 13/184320], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [14, 1]], 1/10080], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [15, 1]], 1/28800], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [16, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 17/201600], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 1/21600], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1]], 1/230400], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/14400], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [10, 1]], 23/288000], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/32256], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [16, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [11, 1]], 1/12672], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [22, 1]], 1/50688], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [11, 1]], 1/15840], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [22, 1]], 1/190080], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/435456], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [30, 1]], 1/51840], [[[1, 5], [2, 2], [3, 1], [6, 2], [14, 1], [18, 1]], 1/217728], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 13/774144], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/3584], [[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/120960], [[[1, 5], [2, 2], [3, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 1/36864], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/38400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 5/13824], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [16, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 1/172800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 7/102400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 43/576000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 1/115200], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [11, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [22, 1]], 1/76032], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [16, 1]], 1/18432], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 157/290304], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 95/677376], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 11/55296], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [10, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [14, 1]], 1/10368], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 13/69120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [14, 1]], 1/40320], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 67/2764800], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/27648], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/6912], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 1/32256], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 1/124416], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 5/96768], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 1/48384], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 341/663552], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/21504], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 1/10368], [[[1, 5], [2, 2], [3, 2], [4, 2], [10, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 1/829440], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/36864], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 13/2211840], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 19/1990656], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 131/5971968], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 1/294912], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/9216], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 1/27648], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 7/6635520], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 1/331776], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 47/442368], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 1/46080], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2160], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 1/90720], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/77760], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 23/201600], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/17280], [[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 43/64800], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/76800], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 61/216000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 29/36288], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [10, 2]], 1/230400], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [30, 1]], 1/34560], [[[1, 5], [2, 2], [3, 2], [6, 1], [14, 1], [18, 1]], 1/145152], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 1/96768], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 1/41472], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [14, 1]], 1/96768], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [18, 1]], 1/41472], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 1], [10, 1]], 1/30240], [[[1, 5], [2, 2], [3, 2], [8, 1], [9, 1], [10, 1]], 7/103680], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/5184], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [14, 1]], 1/90720], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 11/1036800], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 1/345600], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 1/72576], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/31104], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/145152], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 1/62208], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 43/1161216], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 1/241920], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 1/145152], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 65/165888], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/20736], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/138240], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 13/829440], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/184320], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1/311040], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 37/3483648], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/18432], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 29/7464960], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 19/331776], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/9720], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 11/19440], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/51840], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [10, 1]], 23/1036800], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/41472], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [10, 1]], 1/272160], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [10, 1]], 1/38880], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/207360], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 1/207360], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 17/1306368], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 35/186624], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [14, 1]], 1/108864], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 7/34992], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [10, 1]], 1/1244160], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 1/622080], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 7/995328], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 43/1119744], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 7/155520], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 1], [10, 1]], 1/155520], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 1/373248], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 23/2099520], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [11, 1]], 13/1013760], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [22, 1]], 1/42240], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 17/26880], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 49/122880], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 31/614400], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [16, 1]], 1/5120], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 1/57600], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/115200], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 347/768000], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/19200], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 2]], 1/43008], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [11, 1]], 1/33792], [[[1, 5], [2, 2], [4, 1], [6, 1], [11, 1], [12, 1]], 1/17280], [[[1, 5], [2, 2], [4, 1], [6, 1], [12, 1], [22, 1]], 1/76032], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 71/86016], [[[1, 5], [2, 2], [4, 1], [7, 1], [10, 1], [14, 1]], 1/17920], [[[1, 5], [2, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 11/32256], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 13/122880], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [18, 1]], 1/69120], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 87/286720], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 11/89600], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/15360], [[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/89600], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 1/86016], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 29/294912], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [30, 1]], 17/737280], [[[1, 5], [2, 2], [4, 2], [6, 1], [14, 1], [18, 1]], 17/3096576], [[[1, 5], [2, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 1/124416], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [10, 1]], 1/35840], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 1/21504], [[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [14, 1]], 1/64512], [[[1, 5], [2, 2], [4, 2], [10, 1], [12, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [7, 1]], 1/552960], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/6635520], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/81920], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 1/11520], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 1/15360], [[[1, 5], [2, 2], [4, 3], [6, 1], [10, 1], [18, 1]], 1/3317760], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1/1105920], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [10, 1]], 1/4423680], [[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/6720], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [30, 1]], 1/28800], [[[1, 5], [2, 2], [5, 1], [6, 1], [14, 1], [18, 1]], 1/120960], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/19200], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/38400], [[[1, 5], [2, 2], [6, 1], [7, 1], [8, 1], [14, 1]], 1/21504], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [30, 1]], 7/307200], [[[1, 5], [2, 2], [6, 1], [8, 1], [14, 1], [18, 1]], 1/184320], [[[1, 5], [2, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/483840], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 7/622080], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/18432], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 91/256000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [15, 1]], 77/442368], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/10240], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 97/1658880], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 13/230400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 529/1152000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 11/518400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [11, 1]], 49/101376], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [22, 1]], 97/405504], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 11/110592], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 97/16588800], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 5/145152], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 481/20901888], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 11/110592], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/5971968], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 1/1119744], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 3457/9289728], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 751/903168], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/15360], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 439/1769472], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [14, 1]], 5/24192], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 1/345600], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/92160], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 53/344064], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 1367/4423680], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/10752], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 5/32768], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 553/589824], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 89/2949120], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 35/82944], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 1/8192], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/8064], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 1/248832], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 341/6193152], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 653/2654208], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 35/884736], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 1/552960], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 5/62208], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 55/129024], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/13440], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 17/193536], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 49/73728], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 17/64512], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 37/248832], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 13/215040], [[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 1/32256], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 19/663552], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 761/2949120], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1151/8294400], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/36864], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 205/1548288], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 61/995328], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 53/774144], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 91/1990656], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 17/110592], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 49/3317760], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1691/5308416], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 41/368640], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 7/36864], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 157/5898240], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1601/10616832], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 19/1474560], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1529/5308416], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 1/122880], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1177/3456000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [15, 1]], 5/82944], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [16, 1]], 1/9216], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 11/120960], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 1/38880], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 19/241920], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/11520], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/138240], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 91/1555200], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/43008], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 11/33600], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 11/276480], [[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 1/3200], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 43/201600], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 119/5529600], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 361/691200], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 25/1741824], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 17/12096], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 17/1843200], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 5/82944], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 25/1741824], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 1/16128], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 13/774144], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 19/331776], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 17/414720], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 131/1244160], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 1/1244160], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 5], [2, 4], [3, 1], [8, 1], [9, 1], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/43008], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 5/82944], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/30240], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 89/414720], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [14, 1]], 1/26880], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 67/552960], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 13/73728], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 151/2764800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 139/497664], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 59/497664], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 73/387072], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 59/497664], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 275/1990656], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 73/1866240], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 5/15552], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 83/774144], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 17/241920], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 11/435456], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 59/165888], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 11/129024], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 37/207360], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 35/373248], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/53760], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 517/3317760], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 253/2211840], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 151/1474560], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 7/414720], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 533/3096576], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 199/442368], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 53/387072], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 1/62208], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 265/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 71/663552], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 569/497664], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 7/69120], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 1/20736], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 7/138240], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 109/442368], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 11/368640], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1511/2654208], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 313/1451520], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 257/622080], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/6720], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 7/92160], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2400], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 353/5529600], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 151/2322432], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/8960], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 95/995328], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 5/96768], [[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 13/103680], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/18432], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 79/373248], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 11/1658880], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 269/4147200], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [12, 1]], 1/233280], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 523/3483648], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 295/497664], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 19/290304], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 649/1990656], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/15360], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 7/10368], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 7/207360], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 343/4976640], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 571/2654208], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/55296], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 413/1492992], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 11/622080], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 203/777600], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/116640], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 85/1990656], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 7/466560], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 17/746496], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/10240], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 113/1152000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/69120], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/32256], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 53/414720], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 13/1382400], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 83/215040], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 191/268800], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/13824], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 13/53760], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 83/179200], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 41/460800], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 803/2304000], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 1/86400], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 251/516096], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 1/6912], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 13/921600], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 149/983040], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/81920], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 1/30720], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [30, 1]], 341/3686400], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 1/345600], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1301/15482880], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 19/387072], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/64512], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1/27648], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 1/30720], [[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 1/290304], [[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [18, 1]], 1/27648], [[[1, 5], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 1/1866240], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 7/61440], [[[1, 5], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 1/35840], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 3/35840], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/17920], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/13824], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 41/552960], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1921/44236800], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 323/307200], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 17/138240], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 11/30720], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 5/21504], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/17920], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 5/96768], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 107/1032192], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 79/442368], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 127/5160960], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 71/2211840], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 1/24192], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 11/124416], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 7/552960], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 1/41472], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 1/414720], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 11/138240], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 23/184320], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 149/2073600], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 221/5898240], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 7/55296], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 7/552960], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/23040], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 13/67200], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [14, 1]], 1/161280], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [18, 1]], 1/69120], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 19/201600], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/9600], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/122880], [[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 1/307200], [[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 37/1843200], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 209/2488320], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 389/12902400], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 43/1036800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 11/215040], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 29389/663552000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 2443/17694720], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 22331/132710400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 1/9216], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 815/4644864], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 1/41472], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 19807/55738368], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 1081/2654208], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 589/2985984], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 3181/29859840], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 3977/35831808], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 17/368640], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 17/322560], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [12, 1]], 5/580608], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 187/4423680], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 713/7741440], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 7/103680], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [12, 1]], 1/62208], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 37/442368], [[[1, 5], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 1/165888], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 53/368640], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 367/3686400], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1231/4423680], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 1/61440], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 647/3096576], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 277/3981312], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 223/589824], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 31/331776], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 967/1327104], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 2627/8847360], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 8377/15925248], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 23/92160], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 1/20736], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 1/69120], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 203/1966080], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 9913/14155776], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 4271/22118400], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 4963/10616832], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 23/358400], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 553/24883200], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 1/8960], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 1/51840], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 19/552960], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1543/3686400], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 151/2211840], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 137/5160960], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 1/8960], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 37/774144], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 31/1658880], [[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 1/103680], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1261/5806080], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 49/1244160], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 31/829440], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 59/276480], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 59/5529600], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 9151/132710400], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 1/829440], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 27149/278691840], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 239/1474560], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 1/6048], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 7/311040], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 241/393216], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 3563/9953280], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 653/995328], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 31/552960], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 889/13271040], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 4379/13271040], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 469/3317760], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 26327/79626240], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 131/11059200], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 487/2211840], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/28800], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 407/29859840], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 29/663552], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 53/921600], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 23/442368], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 701/15482880], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 61/645120], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 373/4147200], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 9847/44236800], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 7043/14745600], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 1021/8294400], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 89/774144], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 53/645120], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [12, 1]], 1/387072], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 355/2064384], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 1/6912], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 1793/12902400], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 869/5529600], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 31/1161216], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 1/30720], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 217/4423680], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 23/2488320], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 5507/22118400], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 19909/44236800], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 1/138240], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 2953/8847360], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 487/6635520], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 143/3317760], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 13/122880], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 1999/51609600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 2879/530841600], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 41093/1161216000], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 1/6635520], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 3151/162570240], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 11/2211840], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 50881/278691840], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 241/11612160], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 8011/39813120], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 24431/99532800], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 129197/2229534720], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1859/92897280], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 7/8294400], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 481/19660800], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 13453/53084160], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 721/3932160], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 215669/2229534720], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 41/14745600], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 529099/4644864000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 2033/132710400], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 359/51609600], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 83/3317760], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 7541/199065600], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 517/31850496], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 17/614400], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 18289/110592000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 34229/353894400], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 799/99532800], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 361741/222953472000], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 303931/21403533312], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 364723/11147673600], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 3442219/1605264998400], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/46080], [[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/193536], [[[1, 5], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/20160], [[[1, 5], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/17280], [[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [11, 1]], 67/253440], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 1/5760], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [14, 1]], 1/100800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/432000], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/112896], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [13, 1]], 17/718848], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [26, 1]], 1/718848], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/86016], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [11, 1]], 151/506880], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 1/110592], [[[1, 6], [2, 1], [3, 1], [4, 1], [10, 1], [11, 1]], 1/42240], [[[1, 6], [2, 1], [3, 1], [4, 1], [10, 1], [22, 1]], 1/1013760], [[[1, 6], [2, 1], [3, 1], [4, 1], [11, 1], [12, 1]], 1/25344], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/73728], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [15, 1]], 7/1228800], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 7/921600], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 7/460800], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 1/43200], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 1/737280], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [14, 1]], 1/86016], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 13/294912], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/46080], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 7/368640], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/4147200], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 1/32256], [[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 1/41472], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [10, 1]], 1/4423680], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/6193152], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 5/7077888], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [11, 1]], 1/63360], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 221/483840], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [14, 1]], 1/6720], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [15, 1]], 1/184320], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 2], [10, 1]], 1/92160], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/67200], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 1], [10, 1]], 1/144000], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [8, 2]], 1/129024], [[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [11, 1]], 1/50688], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/774144], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [14, 1]], 1/21504], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 1/184320], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 7/69120], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 61/921600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 1/576000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 1/345600], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [11, 1]], 1/38016], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 67/290304], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 29/677376], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/27648], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [14, 1]], 1/72576], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 17/967680], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 13/414720], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/102400], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 13/774144], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [12, 1]], 1/36288], [[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 11/663552], [[[1, 6], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 7/124416], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/122880], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 1/69120], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/3483648], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1]], 1/2985984], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/55296], [[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 1/4423680], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 1/17280], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/34560], [[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1]], 1/6480], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 1/691200], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 5/24192], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 1], [10, 1]], 1/120960], [[[1, 6], [2, 1], [3, 2], [8, 1], [9, 1], [10, 1]], 1/103680], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/51840], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 19/103680], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [14, 1]], 1/181440], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/518400], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 127/3483648], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 1/725760], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1/435456], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 13/55296], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 1/103680], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/62208], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 13/1658880], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 1/552960], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [12, 1]], 1/155520], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/387072], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/165888], [[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/7464960], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/36864], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3240], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 1], [10, 1]], 1/259200], [[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 1/870912], [[[1, 6], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 1/124416], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/155520], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 1/653184], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/93312], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/622080], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 1/186624], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 1/373248], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 23/2099520], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/1013760], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 5/75264], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/24576], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/153600], [[[1, 6], [2, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/190080], [[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/86016], [[[1, 6], [2, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/32256], [[[1, 6], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/122880], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/286720], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/23040], [[[1, 6], [2, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/3870720], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 6], [2, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/134400], [[[1, 6], [2, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/921600], [[[1, 6], [2, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/3870720], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 19/294912], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 109/921600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [15, 1]], 259/2211840], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 7/92160], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 103/16588800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 7/38400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 581/1152000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 17/518400], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1]], 1879/6082560], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [22, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 1/16588800], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 1/20901888], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 1/331776], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 4483/9289728], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 1853/3612672], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/307200], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1253/8847360], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 37/921600], [[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [14, 1]], 1/15120], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/276480], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 137/516096], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 29/73728], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [14, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 3011/22118400], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 559/1769472], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 17/14745600], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1/6144], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 1/24576], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 5/387072], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 17/6193152], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 103/7962624], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 1/497664], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 11/21504], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 1/12096], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 673/1105920], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 271/5160960], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 1/10368], [[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 13/2580480], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 11/16588800], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 709/2949120], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 941/11059200], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 7/184320], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 319/4644864], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 13/829440], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/3096576], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1/294912], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/6635520], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 101/1769472], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 11/110592], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 151/10616832], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 491/13271040], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/4423680], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 191/1966080], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 1/73728], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 407/6912000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 7/460800], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [16, 1]], 11/230400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 13/362880], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 1/77760], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/241920], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/103680], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/622080], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 31/645120], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 37/100800], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 13/368640], [[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 1/3600], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 77/3686400], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 5/18432], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 1/276480], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 83/169344], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 7/6144000], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [30, 1]], 7/460800], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/276480], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 1/32256], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 1/60480], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 1/368640], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 41/3317760], [[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 1/967680], [[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 7/1244160], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 6], [2, 3], [3, 1], [8, 1], [9, 1], [10, 1]], 1/57600], [[[1, 6], [2, 3], [3, 1], [8, 1], [10, 1], [14, 1]], 1/215040], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/46080], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 41/241920], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 43/82944], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [14, 1]], 11/241920], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 131/552960], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 13/110592], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 13/5529600], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 863/6967296], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 7/331776], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 61/2322432], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 7/331776], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/331776], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 1/41472], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 7/27648], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 1/20160], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 17/435456], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 809/1327104], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 5/129024], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 17/207360], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 35/373248], [[[1, 6], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/161280], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 61/1105920], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 563/2211840], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 631/7372800], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 1/34560], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 1315/9289728], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 307/1327104], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 5/193536], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/82944], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 127/1327104], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 325/995328], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 7/184320], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 241/4976640], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 11/110592], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 1/552960], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 305/884736], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 617/1451520], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 313/622080], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 11/276480], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 43/345600], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 173/2211840], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 109/1548288], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 31/725760], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 5/73728], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 17/311040], [[[1, 6], [2, 3], [3, 2], [6, 1], [10, 1], [18, 1]], 1/207360], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/92160], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 17/93312], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/17280], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 317/4147200], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1/116640], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 727/3483648], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 109/165888], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 5/145152], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 395/1990656], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 11/414720], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 5/11664], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 13/622080], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 413/4976640], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 175/884736], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/92160], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1247/4478976], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 7/207360], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 101/388800], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 1], [10, 1]], 7/414720], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 37/622080], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 7/73728], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 1/186624], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 43/746496], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/30720], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/483840], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 1/82944], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 913/1720320], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 9/22400], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/13824], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/21504], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 137/1612800], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 7/230400], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 473/4608000], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/86400], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 1/12288], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 1/921600], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 77/2949120], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 7/2457600], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [30, 1]], 43/3686400], [[[1, 6], [2, 3], [4, 1], [6, 1], [14, 1], [18, 1]], 43/15482880], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/387072], [[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [18, 1]], 7/2211840], [[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [18, 1]], 1/829440], [[[1, 6], [2, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/248832], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/33600], [[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 41/8601600], [[[1, 6], [2, 3], [4, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 83/2580480], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/107520], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/46080], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/184320], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 17/8847360], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 2641/7372800], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/6144], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 19/1032192], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 11/483840], [[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [18, 1]], 17/4423680], [[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 1/193536], [[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1/82944], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/331776], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 17/368640], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 137/16588800], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/138240], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 17/5898240], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/55296], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/552960], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/28800], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/172800], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 7/3686400], [[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6451200], [[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [18, 1]], 11/2764800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 53/921600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 1793/12902400], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 869/5529600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 53/645120], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 22331/132710400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 2443/17694720], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 29389/663552000], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 1/9216], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 1/6048], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 7/311040], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 27149/278691840], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 239/1474560], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 29/663552], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 407/29859840], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 23/442368], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 355/2064384], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 61/645120], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 31/1161216], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 1/6912], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 89/774144], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 373/4147200], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 1/30720], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 701/15482880], [[[1, 6], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 1/387072], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 469/3317760], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 2953/8847360], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 19909/44236800], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 143/3317760], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 223/589824], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 31/331776], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 647/3096576], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 277/3981312], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 4379/13271040], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 889/13271040], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 26327/79626240], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 5507/22118400], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 487/6635520], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 1/138240], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 4271/22118400], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 9913/14155776], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 203/1966080], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 4963/10616832], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1261/5806080], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 49/1244160], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 1/8960], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 1/103680], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/28800], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 487/2211840], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 13/122880], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 37/774144], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 1/8960], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 31/1658880], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 137/5160960], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 1/82944], [[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 1/51840], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 23/358400], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 553/24883200], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 131/11059200], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 3563/9953280], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 217/4423680], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 9847/44236800], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 23/2488320], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 19807/55738368], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 1081/2654208], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 815/4644864], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/41472], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 241/393216], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 59/276480], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 653/995328], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 2627/8847360], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 967/1327104], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 53/368640], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 8377/15925248], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 31/829440], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 1543/3686400], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 19/552960], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 3181/29859840], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 589/2985984], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 209/2488320], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 3977/35831808], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 37/442368], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 17/322560], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 7/103680], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 31/552960], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 9151/132710400], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 7043/14745600], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 1021/8294400], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 713/7741440], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 11/215040], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [12, 1]], 1/165888], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 17/368640], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 187/4423680], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 389/12902400], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 43/1036800], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 5/580608], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 1/62208], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 59/5529600], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 1/829440], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 23/92160], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 1231/4423680], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 1/69120], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 367/3686400], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 1/20736], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 1/61440], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 151/2211840], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 497/4423680], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 15377/530841600], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 227/1658880], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 11/6635520], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 689/6193152], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 499/19906560], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 11933/55738368], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 1703/46448640], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 5699/26542080], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 9137/49766400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 8689/106168320], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 2009/33177600], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 1/1036800], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 65497/530841600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 27857/53084160], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 126097/530841600], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 126133/637009920], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 2411/221184000], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 302687/1327104000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 4081/221184000], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 5927/99532800], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 29/276480], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 827/7372800], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 8921/159252480], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 299/4423680], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 7369/33177600], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2764800], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 24629/353894400], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 13/2211840], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 34621/3096576000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 259423/5945425920], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 7849031/111476736000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 87763/11890851840], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 31/1474560], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/102400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [15, 1]], 283/11059200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [16, 1]], 1/92160], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 1/5529600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 11/61440], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 167/1152000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/57600], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1]], 151/3041280], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [22, 1]], 1/1216512], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 10267/46448640], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 2461/27095040], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 41/1769472], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [10, 1]], 1/460800], [[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [14, 1]], 11/2540160], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 73/516096], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 2527/22118400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [14, 1]], 1/161280], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 2879/221184000], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 5/884736], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/55296], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [18, 1]], 1/1990656], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 53/276480], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/107520], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 1/27648], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 2881/23224320], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 1/245760], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 1/138240], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 11/414720], [[[1, 7], [2, 2], [3, 1], [4, 2], [10, 1], [14, 1]], 1/2580480], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/16588800], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 557/29491200], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 11/1105920], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 7/276480], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 617/139345920], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1]], 11/104509440], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 11/552960], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 73/265420800], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 19/53084160], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 199/17694720], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 11/1843200], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/460800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 1/1382400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [16, 1]], 1/230400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 1/362880], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/622080], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 41/1290240], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/6300], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 7/552960], [[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 7/103680], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 11/1228800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 227/6912000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 1/5806080], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/24192], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2]], 1/18432000], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [30, 1]], 1/1382400], [[[1, 7], [2, 2], [3, 1], [6, 1], [14, 1], [18, 1]], 1/5806080], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 1/193536], [[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [14, 1]], 1/7741440], [[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [18, 1]], 1/3317760], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 1], [10, 1]], 1/151200], [[[1, 7], [2, 2], [3, 1], [8, 1], [9, 1], [10, 1]], 11/3628800], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 7/34560], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 337/829440], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [14, 1]], 11/1209600], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 683/5529600], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 5/221184], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 1/5529600], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 17/2322432], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 1/995328], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2322432], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 1/995328], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 5/24192], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/80640], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/48384], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 2177/6635520], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 1/46080], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 1/27648], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 7/1105920], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 1721/11059200], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 391/14745600], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 1/51840], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 2143/92897280], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 67/4423680], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 7/331776], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 1/184320], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/110592], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1237/99532800], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/294912], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 1043/26542080], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 179/580608], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 1303/6220800], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/207360], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1177/55296000], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 11/516096], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1]], 1/181440], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 13/663552], [[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1]], 1/155520], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/103680], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 17/207360], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 91/4147200], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1/155520], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1753/20901888], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 163/995328], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [14, 1]], 1/290304], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 5/663552], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 19/373248], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/622080], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 91/4976640], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 59/2654208], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 23/279936], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 11/622080], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 173/3110400], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 1], [10, 1]], 1/414720], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 97/1866240], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 107/1990656], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 1/622080], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 277/6718464], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/184320], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 171/573440], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 13/179200], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/35840], [[[1, 7], [2, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/806400], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/921600], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 1/324000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/516096], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 31/8847360], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/7372800], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 43/77414400], [[[1, 7], [2, 2], [4, 1], [6, 1], [14, 1], [18, 1]], 43/325140480], [[[1, 7], [2, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/6635520], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/537600], [[[1, 7], [2, 2], [4, 1], [8, 1], [10, 1], [14, 1]], 1/8601600], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 11/2580480], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 79/7372800], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 31/1382400], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1032192], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/483840], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/33177600], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/71680], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/201600], [[[1, 7], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11059200], [[[1, 7], [2, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5529600], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 37/8294400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 31/110592], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 737/3317760], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 17/322560], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 971/4915200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 389/5898240], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 569/221184000], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 31/1105920], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 2563/69672960], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 31/4354560], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 103/30965760], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 523/39813120], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 263/79626240], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/2985984], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 181/19906560], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 1021/3870720], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 71/1209600], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 139/4354560], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 463/2654208], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 227/5160960], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 37/907200], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 11/408240], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 13/2867200], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 263/6635520], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1973/4423680], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 2069/7372800], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 31/663552], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 3739/15482880], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 17/442368], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 1847/61931520], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 5/497664], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 247/6635520], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 71/26542080], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 5717/79626240], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 799/11059200], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 299/6635520], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 3703/33177600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 15647/70778880], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 151/17694720], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 22139/106168320], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 4153/14515200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 601/24883200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 3/89600], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1/57600], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 6517/165888000], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 817/11059200], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 1759/46448640], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 121/8709120], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 1/184320], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 1/331776], [[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 1/86400], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 13/4838400], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 11/4147200], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 11/5529600], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 20137/99532800], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 119/884736], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 17459/73728000], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 103/6220800], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 2657/6193152], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 2765/7962624], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 131/2903040], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 1/124416], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 13763/53084160], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 67/2211840], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 487/1658880], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 119/2764800], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 10813/33177600], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 1187/2211840], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 11/245760], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 5495/15925248], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 1489/33177600], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 17129/55296000], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 13/921600], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 3643/14929920], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 4363/15925248], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 55/1492992], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 4009/35831808], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1369/25804800], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/215040], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/92160], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 13/1658880], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 77/26542080], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 17921/73728000], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 427/8294400], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 13/573440], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 11/806400], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 13/2903040], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 97/30965760], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/207360], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 17/13547520], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 893/232243200], [[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1161216], [[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/497664], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/1036800], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 103/1474560], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 2249/44236800], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/115200], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 11/1228800], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/103680], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/552960], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 5/221184], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 827/7372800], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 24629/353894400], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 7369/33177600], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 13/2211840], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 11933/55738368], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 1703/46448640], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 689/6193152], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 499/19906560], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 29/276480], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 5927/99532800], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 8921/159252480], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 299/4423680], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 1/2764800], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 126097/530841600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 27857/53084160], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 65497/530841600], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 126133/637009920], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 4081/221184000], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 302687/1327104000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 2411/221184000], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 9137/49766400], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 5699/26542080], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 497/4423680], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 8689/106168320], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 2009/33177600], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 227/1658880], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1036800], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 15377/530841600], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 11/6635520], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 265921/6193152000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 62111/849346560], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 1234669/15925248000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 1771/127401984], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/161280], [[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/276480], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/737280], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [15, 1]], 13/11059200], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 187/4608000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 1/576000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 1/345600], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1]], 13/6082560], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1357/46448640], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 137/54190080], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 7/8847360], [[[1, 8], [2, 1], [3, 1], [4, 1], [9, 1], [14, 1]], 1/5080320], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 461/77414400], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 407/232243200], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 11/24576000], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 43/15482880], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 1/181440], [[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 71/46448640], [[[1, 8], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1]], 11/4354560], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 19/9830400], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 1/276480], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 1/69672960], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1]], 1/209018880], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/552960], [[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/88473600], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2]], 1/1843200], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/258048], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 1/40320], [[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/1105920], [[[1, 8], [2, 1], [3, 1], [5, 1], [9, 1], [10, 1]], 1/259200], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 1/691200], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 1], [10, 1]], 1/2419200], [[[1, 8], [2, 1], [3, 1], [8, 1], [9, 1], [10, 1]], 1/7257600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/15120], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 59/829440], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [14, 1]], 1/1209600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 11/5529600], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 19/414720], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/483840], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/290304], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 193/4644864], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 1/414720], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 1/248832], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 31/11059200], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 3/1638400], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 11/2073600], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 41/30965760], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 1/13271040], [[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/49766400], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 7/2949120], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 19/322560], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 41/2073600], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 1], [10, 1]], 1/1728000], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/580608], [[[1, 8], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 1/497664], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 97/3110400], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 1/1036800], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 1/622080], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 7/2985984], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/331776], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/414720], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 1/497664], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 1/1244160], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/933120], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/746496], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 37/6718464], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 23/516096], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/537600], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 8], [2, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/5184000], [[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/8847360], [[[1, 8], [2, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/77414400], [[[1, 8], [2, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/325140480], [[[1, 8], [2, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/645120], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 953/3870720], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 31/245760], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 47/4838400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 17411/221184000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 217/17694720], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 43/1548288000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 1/1105920], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 41/8709120], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/1451520], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 43/650280960], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 47/92897280], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/26542080], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 11/19906560], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 361/2064384], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1/71680], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 277/17418240], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 23/290304], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 17/5160960], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 241/29030400], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 73/7464960], [[[1, 8], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 1/3686400], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 1/737280], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 5167/22118400], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 917/14745600], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 1/46080], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 1189/26542080], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 13/2322432], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 13/15482880], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/1327104], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/1327104], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 2999/557383680], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 61/7372800], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 13/1105920], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 10967/796262400], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 157/14155776], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 1/8847360], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 337/11796480], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 173/1036800], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 407/87091200], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 1/403200], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 13/2764800], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 517/165888000], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 503/27648000], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 17/1290240], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 47/7257600], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 19/3870720], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 1/5160960], [[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 11/5443200], [[[1, 8], [2, 3], [3, 1], [6, 1], [10, 1], [18, 1]], 1/8294400], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1/11059200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 119/3981312], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 313/2211840], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 20461/221184000], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 71/6220800], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 6029/30965760], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 1817/18579456], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 457/162570240], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 169/5898240], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 11/6635520], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 5279/104509440], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 43/8294400], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 12857/132710400], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 241/2322432], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/245760], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 4345/47775744], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 37/1843200], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 13531/165888000], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1]], 11/7257600], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 763/4147200], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 2111/15925248], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 97/14929920], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 3169/59719680], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 299/25804800], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1658880], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 43/928972800], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 26569/516096000], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 23/2764800], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 3/573440], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/806400], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 23/20321280], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/7741440], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/4423680], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/67737600], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 11/116121600], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/66355200], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 11/2211840], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1/884736], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 11/7257600], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/9676800], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 29/46448640], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 13/3686400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 7541/199065600], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 34229/353894400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 18289/110592000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 799/99532800], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 50881/278691840], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 241/11612160], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 3151/162570240], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 11/2211840], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 83/3317760], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 359/51609600], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 517/31850496], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 17/614400], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 721/3932160], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 13453/53084160], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 481/19660800], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 215669/2229534720], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 2033/132710400], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 529099/4644864000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 41/14745600], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 24431/99532800], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 8011/39813120], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 1999/51609600], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 129197/2229534720], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1859/92897280], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 41093/1161216000], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 7/8294400], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 2879/530841600], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 1/6635520], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 1234669/15925248000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 62111/849346560], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 265921/6193152000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 1771/127401984], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 3239/38707200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 41/1658880], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1]], 29/67737600], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 23/2949120], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 13/17694720], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/1548288000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 1/4644864], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/650280960], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/278691840], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 2333/54190080], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 1/537600], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 1/322560], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1153/92897280], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 1/1209600], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 1/725760], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 4787/154828800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 23/7372800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 1/259200], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 67/46448640], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 1/3096576], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 43/185794560], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 1/1843200], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/1105920], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 2389/5573836800], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1/23592960], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 1273/1486356480], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 1139/29030400], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 37/174182400], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 1/2764800], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/33177600], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 431/387072000], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 29/15482880], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1]], 1/3628800], [[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 1/1451520], [[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1]], 1/10886400], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 13/16588800], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 563/11059200], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 2731/221184000], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 13/4147200], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 7543/278691840], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 2369/278691840], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [14, 1]], 1/10160640], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 13/53084160], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 323/104509440], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 1/8294400], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1723/464486400], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 211/92897280], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 13361/1672151040], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 91/33177600], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 353/55296000], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1]], 1/14515200], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 4987/149299200], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 13009/836075520], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 1/1658880], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 34913/3762339840], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 19/15482880], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/928972800], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 5311/1548288000], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/2764800], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2580480], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 37/365783040], [[[1, 9], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/464486400], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/4423680], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/14515200], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/619315200], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/46448640], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5529600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 295/55738368], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 29363/412876800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 21997/387072000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 3347/696729600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 2381/32514048], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 233/46448640], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 47/46448640], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 11/39813120], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 197/61931520], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 47/154828800], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 2813/1486356480], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 647/154828800], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 38299/743178240], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 6173/123863040], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 523/206438400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 9745/445906944], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 5861/928972800], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 26111/928972800], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 3/11468800], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 5741/39813120], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 943/11612160], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 8353/1393459200], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 70373/3344302080], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 71/19353600], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 9997/2322432000], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3628800], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 731/1651507200], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 7849031/111476736000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 259423/5945425920], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 34621/3096576000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 87763/11890851840], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 299/38707200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 17/13271040], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [14, 1]], 1/67737600], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/9216000], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 6101/1950842880], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/9676800], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/5806080], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 11/17418240], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/29030400], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/17418240], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 157/619315200], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/14745600], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 29/116121600], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/61931520], [[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 1/2786918400], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/55050240], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/358400], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 1], [10, 1]], 1/96768000], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/11612160], [[[1, 10], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/34836480], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 2137/464486400], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 1/6912000], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 1/4147200], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 13/69672960], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 17/139345920], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 121/928972800], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 1/17418240], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 1/8294400], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 29/149299200], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 43/278691840], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 2111/3762339840], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/15482880], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/22118400], [[[1, 10], [2, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/365783040], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 641/1393459200], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 28061/1238630400], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 39421/4644864000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 127/99532800], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 3511/278691840], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 83/139345920], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 59/2786918400], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 11/74317824], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/928972800], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 14419/200658124800], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 43/174182400], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 16549/3715891200], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 5549/1592524800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 19/206438400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 176177/80263249920], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 359/309657600], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 35717/11147673600], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1]], 23/1741824000], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 209/6635520], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 289/23224320], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 43/87091200], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 4007/1114767360], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 19/51609600], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 323/1161216000], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 19/522547200], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/990904320], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 364723/11147673600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 303931/21403533312], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 361741/222953472000], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 3442219/1605264998400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/66355200], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 8167/2972712960], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 239/580608000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 31/232243200], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 8363/11705057280], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 17/418037760], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1]], 1/2438553600], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 1/3135283200], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/696729600], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 5497/55738368000], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 503/11147673600], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 30661/401316249600], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 83/928972800], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 7129/55738368000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1]], 1/3483648000], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 5741/2786918400], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 1541/2388787200], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 1/58060800], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 163369/601974374400], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/77414400], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/132710400], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/513216000], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 242927/33443020800], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 407227/178362777600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 81379/668860416000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 5563/16721510400], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 38921/350355456000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 1/387072000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 1/232243200], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 5/1170505728], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/836075520], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 67/55738368000], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 1/4180377600], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 1/464486400], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 11/1393459200], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 31/8360755200], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 3889/601974374400], [[[1, 12], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/28740096000], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1754267/2452488192000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 9917/59454259200], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 23/5225472000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 2741/105106636800], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 37801/1471492915200], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 23/5096079360], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/13934592000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 610957/688658684313600], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 181/1839366144000], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/66886041600], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 6691/688658684313600], [[[2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [22, 1]], 1/21120], [[[2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [30, 1]], 1/5760], [[[2, 3], [4, 1], [6, 2], [8, 1], [14, 1], [18, 1]], 1/24192], [[[2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/2304], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/2880], [[[2, 3], [4, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/40320], [[[2, 3], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/12096], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/46080], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/193536], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/34560], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/17280], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/161280], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/276480], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1], [15, 1]], 1/1680], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [13, 1]], 1/5616], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [26, 1]], 1/5616], [[[1, 1], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [14, 1]], 1/7056], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 1/576], [[[1, 1], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [22, 1]], 1/7920], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [15, 1]], 1/15360], [[[1, 1], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [9, 1]], 1/64512], [[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [15, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [9, 1]], 1/290304], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [30, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [14, 1], [18, 1]], 1/290304], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1], [15, 1]], 1/2400], [[[1, 1], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1], [10, 1]], 1/10080], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [11, 1], [12, 1]], 1/7920], [[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [30, 1]], 1/1680], [[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [14, 1], [18, 1]], 1/7056], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [22, 1]], 1/21120], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 1/576], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [10, 1], [30, 1]], 1/5760], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [14, 1], [18, 1]], 1/24192], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [30, 1]], 1/15360], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/2304], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [14, 1], [18, 1]], 1/64512], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/2880], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [14, 1], [18, 1]], 1/40320], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/2400], [[[1, 1], [2, 2], [5, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/10080], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/17280], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/9600], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/17280], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [22, 1]], 1/31680], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/9504], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [9, 1]], 1/72576], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/115200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/13824], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/8640], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 1/129600], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/36288], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/48384], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/163296], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 19/23328], [[[1, 1], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/40320], [[[1, 1], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/72576], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/3072], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3072], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/34560], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 1/24192], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/10368], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/276480], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/483840], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/5376], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/49152], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/3840], [[[1, 1], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/48384], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/48384], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/9600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/40320], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/69120], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/10752], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/11760], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/10080], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/4032], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/1920], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 11/9216], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 151/193536], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/5760], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2880], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/24192], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/40320], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/3456], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/35840], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/92160], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/16800], [[[1, 1], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/14400], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/276480], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/69120], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/1161216], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/921600], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/55296], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/276480], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/129600], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/1161216], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/387072], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/165888], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/51840], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 29/217728], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 5/46656], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 7/58320], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/120960], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/161280], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/48384], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 5/110592], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2211840], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 7/184320], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/67200], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/57600], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/61440], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 7/23040], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 11/34560], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/34560], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1105920], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/774144], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/387072], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/1658880], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 139/8709120], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/6531840], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/2764800], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 233/12441600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 13/8847360], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/691200], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3686400], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/460800], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/309657600], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 323/696729600], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [11, 1]], 1/21120], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [14, 1], [15, 1]], 1/1680], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [13, 1]], 1/5616], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [26, 1]], 1/5616], [[[1, 2], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [14, 1]], 1/7056], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 1/576], [[[1, 2], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1], [22, 1]], 1/7920], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [9, 1]], 1/40320], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [15, 1]], 1/15360], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/2880], [[[1, 2], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1], [9, 1]], 1/64512], [[[1, 2], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/12096], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/2304], [[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [15, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [9, 1]], 1/290304], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [10, 1], [30, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [14, 1], [18, 1]], 1/290304], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 1], [10, 1], [15, 1]], 1/2400], [[[1, 2], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1], [10, 1]], 1/10080], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [15, 1]], 1/5760], [[[1, 2], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/24192], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [11, 1], [12, 1]], 1/7920], [[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [10, 1], [30, 1]], 1/1680], [[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [14, 1], [18, 1]], 1/7056], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 1/576], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [10, 1], [30, 1]], 1/15360], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [14, 1], [18, 1]], 1/64512], [[[1, 2], [2, 1], [5, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/2400], [[[1, 2], [2, 1], [5, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/10080], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/10560], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/19200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/10080], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/3200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/7200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 7/17280], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/33600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/43200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [22, 1]], 1/7920], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/9504], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/4752], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [9, 1]], 1/72576], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/14112], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/6048], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/115200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 7/13824], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 1/18432], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 1/129600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/2304], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/9072], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/48384], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/20736], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/163296], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 19/23328], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 5/64512], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/10752], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/13440], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/10368], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/38400], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [9, 1]], 5/96768], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/307200], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 5/9216], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 1/57600], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 5/96768], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/4032], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/129024], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/55296], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 1/24192], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 23/31104], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/414720], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [14, 1]], 1/483840], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/12288], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/552960], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/737280], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/49152], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/15120], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/8000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/3600], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/3600], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/8640], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/14400], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/48000], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/16128], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/3840], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/16128], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/15120], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/2880], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/12096], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/14112], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2304], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/6048], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/43200], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/2304], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/18144], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/7776], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/18144], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/7776], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/184320], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/129024], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/55296], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 5/7776], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/829440], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/20160], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/19200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/19200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/3200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/13440], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/69120], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/22400], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/22400], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/7200], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/11760], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/2016], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 23/15360], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 55/64512], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1920], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2880], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/8064], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/3840], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/184320], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/35840], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/46080], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/17280], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/16800], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/7200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 17/144000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 13/276480], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/103680], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/80640], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/41472], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/57600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/103680], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/192000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/345600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 13/1161216], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/3528], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 11/184320], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 7/13824], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 17/184320], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 7/147456], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 13/276480], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 41/1036800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/4608], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 13/1161216], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 17/55296], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 35/55296], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 23/120960], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 13/25920], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 187/435456], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 149/186624], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 29/233280], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 11/184320], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/7680], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/138240], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/8064], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 11/86016], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 11/161280], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2016], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/31104], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 23/552960], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 245/331776], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 53/103680], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 29/6635520], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 13/73728], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 11/61440], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/69120], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/40320], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 53/201600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 37/345600], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 19/207360], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/207360], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/145152], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/82944], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/34560], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/62208], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/36288], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/46080], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/25920], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/184320], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/107520], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/20160], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/26880], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/34560], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/22400], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2400], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 161/921600], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/7680], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 47/921600], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 7/34560], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/1658880], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/161280], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/230400], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/1036800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/403200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/6912], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/165888], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 209/1935360], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/829440], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1369/8709120], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 11/3265920], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 133/691200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/442368], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 2113/12441600], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2211840], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 43/7372800], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/122880], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 149/5529600], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 2323/26542080], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1379/16588800], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 811/55296000], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3317760], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/2211840], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/518400], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 121/921600], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1727/1548288000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 13/1105920], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2211840], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 6721/696729600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/7920], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/11760], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 23/15360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/19200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/5040], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/3200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/1920], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/33600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/43200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/33600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [22, 1]], 1/10560], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/4752], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [22, 1]], 1/9504], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/14112], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/6048], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/2880], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/12096], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 55/64512], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/13440], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/2016], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/38400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/35840], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/46080], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [14, 1]], 1/13440], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/17280], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/307200], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/38400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [9, 1]], 5/96768], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/307200], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 5/9216], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3072], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 5/96768], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/4032], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/129024], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/55296], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 5/7776], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/483840], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/829440], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/414720], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/552960], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/737280], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/30720], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/552960], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/49152], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/30720], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [9, 1]], 1/15120], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/48000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/3600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/3600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/15120], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/8640], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/2160], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/16800], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/8000], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/16128], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/15120], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/16128], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/15120], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/2160], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/3840], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 1/129600], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/9072], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/14112], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 7/13824], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/6048], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/43200], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/2304], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/18144], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/7776], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/18144], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/7776], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/80640], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/34560], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/184320], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/34560], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/129024], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/24192], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/55296], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 23/31104], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/4032], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/23040], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/20160], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/48384], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/163296], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/20736], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 19/23328], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/19200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/3200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/13440], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/17280], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/22400], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/22400], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/7200], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/10752], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/10080], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/4032], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/3072], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 5/64512], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 7/17280], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/10368], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/184320], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/92160], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 7/18000], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 13/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/51840], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 13/103680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 11/207360], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/22400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/120960], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/2400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/12960], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/5600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 47/921600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 29/96000], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 7/345600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 13/193536], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1008], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 101/921600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 29/18432], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 11/61440], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 13/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 17/345600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 13/193536], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/3024], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 43/129024], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 19/18432], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/1728], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 67/145152], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 23/20736], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/233280], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/8960], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 11/107520], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 49/552960], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 19/69120], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 31/307200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 7/138240], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 17/86016], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 13/24192], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/3072], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/10368], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 43/48384], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/7776], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 5/55296], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 343/331776], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 5/10368], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/8640], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 19/368640], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 77/1658880], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 143/552960], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 5/73728], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 133/110592], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 221/552960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/4480], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/10080], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/21600], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 83/201600], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/10800], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 23/115200], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/13440], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/10368], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/103680], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/207360], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 7/25920], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 19/307200], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 7/207360], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/129024], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 25/145152], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 23/55296], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 13/103680], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/2304], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 13/36288], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 13/414720], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/3240], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/20480], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 19/552960], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 113/331776], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 19/69120], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 7/57600], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 11/107520], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 23/100800], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/40320], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/6720], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/13440], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 23/28800], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 203/921600], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/23040], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/5376], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1536], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/17280], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/6480], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7200], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/387072], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/829440], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/16128], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/51840], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 607/1843200], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/13824], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 7/184320], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 31/1036800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 23/387072], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 37/806400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 17/193536], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/55296], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 95/129024], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 47/107520], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 41/552960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 23/41472], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/51840], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 41/69120], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 71/442368], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 443/1244160], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 11/442368], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 773/4423680], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 101/1105920], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 2159/5529600], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 17609/26542080], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1699/3317760], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 2027/18432000], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/414720], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 161/4147200], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 19/829440], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 5/82944], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 37/737280], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 97/1036800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 137/230400], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/69120], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/294912], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4039/110592000], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/2211840], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 2917/22118400], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 41/4423680], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 6743/99532800], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [11, 1]], 1/31680], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/2880], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/11760], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 11/9216], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/1920], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/10080], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/9600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/5760], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/19200], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [11, 1], [12, 1]], 1/9504], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 151/193536], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/10752], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/40320], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/24192], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/4032], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/35840], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/20160], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/92160], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 1/57600], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/3072], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3072], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [7, 1]], 1/483840], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/5376], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/49152], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [16, 1]], 1/3840], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/16800], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/14400], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/48384], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/48384], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/8640], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/40320], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/3456], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/115200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 1/129600], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/36288], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/13824], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/17280], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/80640], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/34560], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/34560], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/24192], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/10368], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/276480], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 1/23040], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/69120], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/48384], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/163296], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/20736], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 19/23328], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/9600], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/40320], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/17280], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/72576], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 11/61440], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 29/96000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 13/46080], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/103680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 13/103680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/5376], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 23/28800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/6480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 23/100800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 101/921600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 7/18000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 17/345600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 13/193536], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1008], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 47/921600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 29/18432], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/12288], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 13/46080], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 7/345600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 13/193536], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/20160], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 13/36288], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/129024], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 23/55296], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/10368], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 25/145152], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/2304], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 11/107520], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10080], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/13824], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 19/552960], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 19/69120], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/3072], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 43/48384], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 17/86016], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/7776], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 13/24192], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/10368], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/20480], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 113/331776], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 5/73728], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 77/1658880], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 221/552960], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 19/368640], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 133/110592], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 143/552960], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 83/201600], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/13440], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/10800], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4480], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/21600], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/57600], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/10080], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/10080], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 13/414720], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 31/207360], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3240], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 203/921600], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 43/129024], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/26880], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 67/145152], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 19/18432], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 13/103680], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 23/20736], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/3024], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/103680], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 7/25920], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 5/55296], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 49/552960], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 5/10368], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 343/331776], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 19/69120], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 23/115200], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 11/207360], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/233280], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 11/107520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5600], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/13440], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/8960], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/11520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/22400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 19/307200], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 7/207360], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/18432], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/120960], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/12960], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 31/307200], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8640], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 7/138240], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 233/1935360], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 187/1658880], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 19/80640], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/12960], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 19/69120], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 2837/4147200], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 5/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 161/460800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 17/103680], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 349/774144], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/4480], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 103/193536], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 5/82944], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 127/129024], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/13824], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/62208], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 29/64512], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 71/414720], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 83/96768], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/31104], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 73/138240], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 59/221184], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 17/46080], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 103/245760], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 6941/11059200], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 71/184320], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 559/737280], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7553/5308416], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 3/4096], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3113/11059200], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 211/1658880], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7013/16588800], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 31/165888], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 103/414720], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 13/73728], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 79/207360], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 179/230400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 23/103680], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 253/4423680], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 109207/331776000], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/147456], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 9379/22118400], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 233/4423680], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 6731/33177600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 17/184320], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/192000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 13/276480], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/80640], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/2240], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/22400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/13440], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/7680], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/2400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/8640], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/20160], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 11/184320], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 17/144000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 41/1036800], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 13/1161216], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/3528], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 7/13824], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 7/147456], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 13/276480], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/345600], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/4608], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 13/1161216], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/36288], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/82944], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/145152], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/62208], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 11/161280], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/184320], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 47/921600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/46080], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 7/34560], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 11/86016], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/2016], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/31104], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/8064], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/61440], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 29/6635520], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 11/61440], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 13/73728], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 53/201600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/21600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/13440], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/40320], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 23/120960], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 13/25920], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/20160], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/46080], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 19/207360], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/25920], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 161/921600], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/69120], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 17/55296], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/80640], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 187/435456], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 35/55296], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 149/186624], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 23/552960], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 11/184320], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 53/103680], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 245/331776], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/7680], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 37/345600], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/41472], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 29/233280], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/107520], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/17280], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/57600], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/207360], [[[1, 5], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/103680], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/76800], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/34560], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 29/64512], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 71/414720], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4480], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/17280], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 103/414720], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7013/16588800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 79/207360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 179/230400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 23/103680], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 127/129024], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 19/80640], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 83/96768], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 349/774144], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 5/82944], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/31104], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 233/1935360], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 187/1658880], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 103/193536], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/62208], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 211/1658880], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 13/73728], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 31/165888], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 559/737280], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 6941/11059200], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 3/4096], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 103/245760], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7553/5308416], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 71/184320], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3113/11059200], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 73/138240], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 2837/4147200], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 17/46080], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 19/69120], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 59/221184], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 5/13824], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 161/460800], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 17/103680], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1951/6635520], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 149897/165888000], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 49/245760], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 361/663552], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/61440], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 3311/11059200], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/276480], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 7/23040], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/67200], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/40320], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 11/34560], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/57600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/34560], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/921600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/38400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/129600], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/1161216], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/55296], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/147456], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/276480], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/1161216], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/161280], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/34560], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/48384], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/2211840], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 7/184320], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/69120], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/60480], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/51840], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/61440], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/387072], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 29/217728], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/165888], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 5/46656], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/34560], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 5/110592], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/69120], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 7/58320], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/120960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 47/107520], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 41/552960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 37/806400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 5/82944], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 161/4147200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 97/1036800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 137/230400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/69120], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 95/129024], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/16128], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 23/41472], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/27648], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 23/387072], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/55296], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/51840], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/51840], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/387072], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/829440], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 17/193536], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/414720], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 37/737280], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 19/829440], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 2159/5529600], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 773/4423680], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1699/3317760], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 11/442368], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 17609/26542080], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 101/1105920], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 2027/18432000], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 41/69120], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 607/1843200], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 443/1244160], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 71/442368], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/13824], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/184320], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 31/1036800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 361/663552], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 149897/165888000], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 3311/11059200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1951/6635520], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/61440], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 49/245760], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 209/1935360], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/829440], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/403200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/3317760], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/518400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 121/921600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/69120], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/6912], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/161280], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1369/8709120], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/165888], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 11/3265920], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/1658880], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/2211840], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 149/5529600], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 43/7372800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1379/16588800], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2211840], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 2323/26542080], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/122880], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 811/55296000], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 133/691200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/230400], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 2113/12441600], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/442368], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1036800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 9379/22118400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 109207/331776000], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 6731/33177600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 253/4423680], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 233/4423680], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/147456], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/387072], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/1658880], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/460800], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/774144], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 139/8709120], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/6531840], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/691200], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 13/8847360], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3686400], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/2764800], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 233/12441600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 2917/22118400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 4039/110592000], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 6743/99532800], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/294912], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 41/4423680], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/2211840], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 13/1105920], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1727/1548288000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 6721/696729600], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2211840], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11059200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/309657600], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 323/696729600], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/2160], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/9072], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/2160], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/9072], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/8640], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/15120], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/12960], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/2160], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/9072], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/2160], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/9072], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/12960], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/6480], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/15120], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/6480], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 13/69120], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/25920], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 29/207360], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/15120], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/6480], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/25920], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/12960], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 13/69120], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/6480], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/15360], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 23/51840], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/15120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/12960], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/61440], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/15360], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5120], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 23/51840], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/46080], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 29/207360], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120] ]}