{[
[[[1, 25]], 1/76455561343795200000],
[[[2, 25]], 1/76455561343795200000],
[[[1, 1], [2, 24]], 17/8495062371532800000],
[[[1, 2], [2, 23]], 11/84950623715328000],
[[[1, 3], [2, 22]], 19/4045267795968000],
[[[1, 4], [2, 21]], 6457/60679016939520000],
[[[1, 5], [2, 20]], 509/321052999680000],
[[[1, 5], [5, 5]], 1/300000],
[[[1, 6], [2, 19]], 4826779/303395084697600000],
[[[1, 7], [2, 18]], 2069221849/19113890335948800000],
[[[1, 7], [3, 9]], 1/68024448],
[[[1, 7], [7, 3]], 1/49392],
[[[1, 8], [2, 17]], 843324491/1699012474306560000],
[[[1, 9], [2, 16]], 2558439523/1699012474306560000],
[[[1, 9], [3, 8]], 1/10077696],
[[[1, 9], [5, 4]], 1613/2903040000],
[[[1, 10], [2, 15]], 357229/121358033879040],
[[[1, 11], [2, 14]], 18541111/5056584744960000],
[[[1, 11], [3, 7]], 247/3386105856],
[[[1, 12], [2, 13]], 33385999/10113169489920000],
[[[1, 13], [2, 12]], 33385999/10113169489920000],
[[[1, 13], [3, 6]], 2251/126978969600],
[[[1, 13], [5, 3]], 1/43008000],
[[[1, 13], [7, 2]], 29/51209625600],
[[[1, 14], [2, 11]], 18541111/5056584744960000],
[[[1, 15], [2, 10]], 357229/121358033879040],
[[[1, 15], [3, 5]], 2273/1580182732800],
[[[1, 16], [2, 9]], 2558439523/1699012474306560000],
[[[1, 17], [2, 8]], 843324491/1699012474306560000],
[[[1, 17], [3, 4]], 9479/189621927936000],
[[[1, 17], [5, 2]], 857/105345515520000],
[[[1, 18], [2, 7]], 2069221849/19113890335948800000],
[[[1, 19], [2, 6]], 4826779/303395084697600000],
[[[1, 19], [3, 3]], 9007/11377315676160000],
[[[1, 19], [7, 1]], 11/2212255825920000],
[[[1, 19], [9, 1]], 1/474054819840000],
[[[1, 20], [2, 5]], 509/321052999680000],
[[[1, 21], [2, 4]], 6457/60679016939520000],
[[[1, 21], [3, 2]], 19/3539609321472000],
[[[1, 21], [4, 2]], 1/20226338979840000],
[[[1, 21], [5, 1]], 1/1264146186240000],
[[[1, 22], [2, 3]], 19/4045267795968000],
[[[1, 23], [2, 2]], 11/84950623715328000],
[[[1, 23], [3, 1]], 1/66367674777600000],
[[[1, 24], [2, 1]], 17/8495062371532800000],
[[[2, 5], [10, 5]], 1/300000],
[[[2, 7], [6, 9]], 1/68024448],
[[[2, 7], [14, 3]], 1/49392],
[[[2, 9], [6, 8]], 1/10077696],
[[[2, 9], [10, 4]], 1613/2903040000],
[[[2, 11], [6, 7]], 247/3386105856],
[[[2, 13], [6, 6]], 2251/126978969600],
[[[2, 13], [10, 3]], 1/43008000],
[[[2, 13], [14, 2]], 29/51209625600],
[[[2, 15], [6, 5]], 2273/1580182732800],
[[[2, 17], [6, 4]], 9479/189621927936000],
[[[2, 17], [10, 2]], 857/105345515520000],
[[[2, 19], [6, 3]], 9007/11377315676160000],
[[[2, 19], [14, 1]], 11/2212255825920000],
[[[2, 19], [18, 1]], 1/474054819840000],
[[[2, 21], [4, 2]], 1/20226338979840000],
[[[2, 21], [6, 2]], 19/3539609321472000],
[[[2, 21], [10, 1]], 1/1264146186240000],
[[[2, 23], [6, 1]], 1/66367674777600000],
[[[1, 1], [2, 4], [10, 5]], 1/100000],
[[[1, 1], [2, 6], [14, 3]], 1/8232],
[[[1, 1], [2, 8], [6, 8]], 5/15116544],
[[[1, 1], [2, 8], [10, 4]], 37/5120000],
[[[1, 1], [2, 10], [6, 7]], 419/604661760],
[[[1, 1], [2, 12], [6, 6]], 1289/4232632320],
[[[1, 1], [2, 12], [10, 3]], 1873/3483648000],
[[[1, 1], [2, 12], [14, 2]], 499/17069875200],
[[[1, 1], [2, 14], [6, 5]], 817/19349176320],
[[[1, 1], [2, 16], [6, 4]], 8549/3869835264000],
[[[1, 1], [2, 16], [10, 2]], 59/121927680000],
[[[1, 1], [2, 18], [3, 3]], 1/34131947028480000],
[[[1, 1], [2, 18], [4, 3]], 1/8026324992000],
[[[1, 1], [2, 18], [6, 3]], 18673/379243855872000],
[[[1, 1], [2, 18], [7, 1]], 1/368709304320000],
[[[1, 1], [2, 18], [9, 1]], 1/474054819840000],
[[[1, 1], [2, 18], [14, 1]], 73/147483721728000],
[[[1, 1], [2, 18], [18, 1]], 1/5267275776000],
[[[1, 1], [2, 20], [4, 2]], 31/6742112993280000],
[[[1, 1], [2, 20], [6, 2]], 1753/3792438558720000],
[[[1, 1], [2, 20], [8, 1]], 1/842764124160000],
[[[1, 1], [2, 20], [10, 1]], 1/12899450880000],
[[[1, 1], [2, 22], [4, 1]], 1/7584877117440000],
[[[1, 1], [2, 22], [6, 1]], 23/13273534955520000],
[[[1, 2], [2, 5], [14, 3]], 1/5488],
[[[1, 2], [2, 7], [5, 4]], 1/14515200000],
[[[1, 2], [2, 7], [6, 8]], 1/30233088],
[[[1, 2], [2, 7], [10, 4]], 77/3072000],
[[[1, 2], [2, 9], [6, 7]], 413/241864704],
[[[1, 2], [2, 11], [6, 6]], 30071/16930529280],
[[[1, 2], [2, 11], [10, 3]], 521/116121600],
[[[1, 2], [2, 11], [14, 2]], 139/284497920],
[[[1, 2], [2, 13], [6, 5]], 8647/19349176320],
[[[1, 2], [2, 15], [4, 4]], 1/11890851840],
[[[1, 2], [2, 15], [6, 4]], 29197/773967052800],
[[[1, 2], [2, 15], [10, 2]], 1801/167215104000],
[[[1, 2], [2, 17], [3, 3]], 1/379243855872000],
[[[1, 2], [2, 17], [4, 3]], 1/127401984000],
[[[1, 2], [2, 17], [6, 3]], 187693/151697542348800],
[[[1, 2], [2, 17], [7, 1]], 1/4096770048000],
[[[1, 2], [2, 17], [9, 1]], 1/5267275776000],
[[[1, 2], [2, 17], [14, 1]], 241/12290310144000],
[[[1, 2], [2, 17], [18, 1]], 73/10534551552000],
[[[1, 2], [2, 19], [3, 2]], 1/1896219279360000],
[[[1, 2], [2, 19], [4, 2]], 377/842764124160000],
[[[1, 2], [2, 19], [5, 1]], 1/526727577600000],
[[[1, 2], [2, 19], [6, 2]], 24859/1516975423488000],
[[[1, 2], [2, 19], [8, 1]], 13/120394874880000],
[[[1, 2], [2, 19], [10, 1]], 263/84276412416000],
[[[1, 2], [2, 21], [3, 1]], 1/7584877117440000],
[[[1, 2], [2, 21], [4, 1]], 23/1685528248320000],
[[[1, 2], [2, 21], [6, 1]], 127/1516975423488000],
[[[1, 3], [2, 6], [5, 4]], 1/230400000],
[[[1, 3], [2, 6], [10, 4]], 233/9216000],
[[[1, 3], [2, 8], [6, 7]], 31/40310784],
[[[1, 3], [2, 10], [6, 6]], 3241/806215680],
[[[1, 3], [2, 10], [10, 3]], 17/1024000],
[[[1, 3], [2, 10], [14, 2]], 137/40642560],
[[[1, 3], [2, 12], [4, 5]], 1/141557760],
[[[1, 3], [2, 12], [6, 5]], 311/143327232],
[[[1, 3], [2, 14], [4, 4]], 73/25480396800],
[[[1, 3], [2, 14], [6, 4]], 575683/1805923123200],
[[[1, 3], [2, 14], [10, 2]], 11/93312000],
[[[1, 3], [2, 16], [3, 3]], 73/758487711744000],
[[[1, 3], [2, 16], [4, 3]], 23/63700992000],
[[[1, 3], [2, 16], [6, 3]], 102913/6320730931200],
[[[1, 3], [2, 16], [7, 1]], 73/8193540096000],
[[[1, 3], [2, 16], [9, 1]], 73/10534551552000],
[[[1, 3], [2, 16], [14, 1]], 283/702303436800],
[[[1, 3], [2, 16], [18, 1]], 1/7524679680],
[[[1, 3], [2, 18], [3, 2]], 271/5688657838080000],
[[[1, 3], [2, 18], [4, 2]], 28321/1264146186240000],
[[[1, 3], [2, 18], [5, 1]], 271/1580182732800000],
[[[1, 3], [2, 18], [6, 2]], 1103/3511517184000],
[[[1, 3], [2, 18], [8, 1]], 1/249707888640],
[[[1, 3], [2, 18], [10, 1]], 79/1170505728000],
[[[1, 3], [2, 20], [3, 1]], 31/2528292372480000],
[[[1, 3], [2, 20], [4, 1]], 5947/10113169489920000],
[[[1, 3], [2, 20], [6, 1]], 5657/2528292372480000],
[[[1, 3], [3, 1], [5, 5]], 1/150000],
[[[1, 3], [3, 2], [7, 3]], 1/12348],
[[[1, 3], [3, 2], [9, 3]], 1/2916],
[[[1, 3], [3, 3], [5, 4]], 1/6480000],
[[[1, 3], [3, 5], [7, 2]], 1/1143072],
[[[1, 3], [3, 5], [9, 2]], 1/209952],
[[[1, 3], [5, 4], [7, 1]], 1/70000],
[[[1, 3], [5, 4], [9, 1]], 1/90000],
[[[1, 4], [2, 1], [5, 5]], 1/100000],
[[[1, 4], [2, 5], [5, 4]], 1/15360000],
[[[1, 4], [2, 5], [10, 4]], 13/46080000],
[[[1, 4], [2, 7], [6, 7]], 1/53747712],
[[[1, 4], [2, 9], [4, 6]], 1/3145728],
[[[1, 4], [2, 9], [5, 3]], 1/5806080000],
[[[1, 4], [2, 9], [6, 6]], 355/120932352],
[[[1, 4], [2, 9], [7, 2]], 1/1137991680],
[[[1, 4], [2, 9], [10, 3]], 1937/69120000],
[[[1, 4], [2, 9], [14, 2]], 167/16257024],
[[[1, 4], [2, 11], [4, 5]], 19/141557760],
[[[1, 4], [2, 11], [6, 5]], 31741/6449725440],
[[[1, 4], [2, 13], [4, 4]], 1007/19818086400],
[[[1, 4], [2, 13], [6, 4]], 36869/25798901760],
[[[1, 4], [2, 13], [10, 2]], 1158949/1672151040000],
[[[1, 4], [2, 15], [3, 3]], 1/541776936960],
[[[1, 4], [2, 15], [4, 3]], 35723/4013162496000],
[[[1, 4], [2, 15], [6, 3]], 52841/433421549568],
[[[1, 4], [2, 15], [7, 1]], 1/5852528640],
[[[1, 4], [2, 15], [9, 1]], 1/7524679680],
[[[1, 4], [2, 15], [14, 1]], 6613/1404606873600],
[[[1, 4], [2, 15], [18, 1]], 73/50164531200],
[[[1, 4], [2, 17], [3, 2]], 221/126414618624000],
[[[1, 4], [2, 17], [4, 2]], 83729/149824733184000],
[[[1, 4], [2, 17], [5, 1]], 221/35115171840000],
[[[1, 4], [2, 17], [6, 2]], 1811597/505658474496000],
[[[1, 4], [2, 17], [8, 1]], 491/6242697216000],
[[[1, 4], [2, 17], [10, 1]], 1927/2229534720000],
[[[1, 4], [2, 19], [3, 1]], 127/270888468480000],
[[[1, 4], [2, 19], [4, 1]], 15569/1123685498880000],
[[[1, 4], [2, 19], [6, 1]], 4633/126414618624000],
[[[1, 5], [2, 2], [7, 3]], 1/5488],
[[[1, 5], [2, 4], [5, 4]], 13/46080000],
[[[1, 5], [2, 4], [10, 4]], 1/15360000],
[[[1, 5], [2, 8], [4, 6]], 5/3145728],
[[[1, 5], [2, 8], [5, 3]], 191/17418240000],
[[[1, 5], [2, 8], [6, 6]], 71/134369280],
[[[1, 5], [2, 8], [7, 2]], 191/3413975040],
[[[1, 5], [2, 8], [10, 3]], 629/34560000],
[[[1, 5], [2, 8], [14, 2]], 17/1290240],
[[[1, 5], [2, 10], [4, 5]], 1/655360],
[[[1, 5], [2, 10], [6, 5]], 10037/2149908480],
[[[1, 5], [2, 12], [4, 4]], 10967/19818086400],
[[[1, 5], [2, 12], [5, 2]], 1/557383680000],
[[[1, 5], [2, 12], [6, 4]], 1011751/300987187200],
[[[1, 5], [2, 12], [10, 2]], 38803/17418240000],
[[[1, 5], [2, 14], [3, 3]], 73/3611846246400],
[[[1, 5], [2, 14], [4, 3]], 30671/267544166400],
[[[1, 5], [2, 14], [6, 3]], 228143/429981696000],
[[[1, 5], [2, 14], [7, 1]], 73/39016857600],
[[[1, 5], [2, 14], [9, 1]], 73/50164531200],
[[[1, 5], [2, 14], [14, 1]], 1199/37158912000],
[[[1, 5], [2, 14], [18, 1]], 1163/125411328000],
[[[1, 5], [2, 16], [3, 2]], 4273/126414618624000],
[[[1, 5], [2, 16], [4, 2]], 1152229/149824733184000],
[[[1, 5], [2, 16], [5, 1]], 4273/35115171840000],
[[[1, 5], [2, 16], [6, 2]], 2123909/84276412416000],
[[[1, 5], [2, 16], [8, 1]], 239/267544166400],
[[[1, 5], [2, 16], [10, 1]], 13687/2006581248000],
[[[1, 5], [2, 18], [3, 1]], 34193/3555411148800000],
[[[1, 5], [2, 18], [4, 1]], 9509/48157949952000],
[[[1, 5], [2, 18], [6, 1]], 40543/105345515520000],
[[[1, 5], [3, 1], [7, 3]], 1/12348],
[[[1, 5], [3, 2], [5, 4]], 1/43200],
[[[1, 5], [3, 4], [5, 3]], 1/216000],
[[[1, 5], [3, 4], [7, 2]], 31/1143072],
[[[1, 5], [3, 4], [9, 2]], 7/104976],
[[[1, 5], [3, 6], [5, 2]], 1/10497600],
[[[1, 5], [3, 7], [7, 1]], 1/4408992],
[[[1, 5], [3, 7], [9, 1]], 1/1889568],
[[[1, 5], [4, 2], [5, 4]], 1/3840000],
[[[1, 5], [5, 2], [7, 2]], 1/29400],
[[[1, 5], [5, 3], [10, 2]], 1/12000],
[[[1, 6], [2, 1], [7, 3]], 1/8232],
[[[1, 6], [2, 3], [5, 4]], 233/9216000],
[[[1, 6], [2, 3], [10, 4]], 1/230400000],
[[[1, 6], [2, 7], [3, 6]], 1/152374763520],
[[[1, 6], [2, 7], [4, 6]], 5/1572864],
[[[1, 6], [2, 7], [5, 3]], 7403/43545600000],
[[[1, 6], [2, 7], [6, 6]], 1/2418647040],
[[[1, 6], [2, 7], [7, 2]], 2221/2560481280],
[[[1, 6], [2, 7], [10, 3]], 743/691200000],
[[[1, 6], [2, 7], [14, 2]], 223/40642560],
[[[1, 6], [2, 9], [3, 5]], 1/67722117120],
[[[1, 6], [2, 9], [4, 5]], 301/35389440],
[[[1, 6], [2, 9], [6, 5]], 9959/6449725440],
[[[1, 6], [2, 11], [3, 4]], 1/120394874880],
[[[1, 6], [2, 11], [4, 4]], 90943/25480396800],
[[[1, 6], [2, 11], [5, 2]], 1/4354560000],
[[[1, 6], [2, 11], [6, 4]], 693241/180592312320],
[[[1, 6], [2, 11], [10, 2]], 7938547/2090188800000],
[[[1, 6], [2, 13], [3, 3]], 1163/9029615616000],
[[[1, 6], [2, 13], [4, 3]], 71663/89181388800],
[[[1, 6], [2, 13], [6, 3]], 71272847/54177693696000],
[[[1, 6], [2, 13], [7, 1]], 3103/260112384000],
[[[1, 6], [2, 13], [9, 1]], 1163/125411328000],
[[[1, 6], [2, 13], [14, 1]], 28433/219469824000],
[[[1, 6], [2, 13], [18, 1]], 563/16721510400],
[[[1, 6], [2, 15], [3, 2]], 677/1805923123200],
[[[1, 6], [2, 15], [4, 2]], 993857/16052649984000],
[[[1, 6], [2, 15], [5, 1]], 677/501645312000],
[[[1, 6], [2, 15], [6, 2]], 55501561/505658474496000],
[[[1, 6], [2, 15], [8, 1]], 299/49545216000],
[[[1, 6], [2, 15], [10, 1]], 3362731/100329062400000],
[[[1, 6], [2, 17], [3, 1]], 294047/2528292372480000],
[[[1, 6], [2, 17], [4, 1]], 12487/7023034368000],
[[[1, 6], [2, 17], [6, 1]], 6656521/2528292372480000],
[[[1, 7], [2, 2], [3, 8]], 1/30233088],
[[[1, 7], [2, 2], [5, 4]], 77/3072000],
[[[1, 7], [2, 2], [10, 4]], 1/14515200000],
[[[1, 7], [2, 4], [3, 7]], 1/53747712],
[[[1, 7], [2, 6], [3, 6]], 1/2418647040],
[[[1, 7], [2, 6], [4, 6]], 5/1572864],
[[[1, 7], [2, 6], [5, 3]], 743/691200000],
[[[1, 7], [2, 6], [6, 6]], 1/152374763520],
[[[1, 7], [2, 6], [7, 2]], 223/40642560],
[[[1, 7], [2, 6], [10, 3]], 7403/43545600000],
[[[1, 7], [2, 6], [14, 2]], 2221/2560481280],
[[[1, 7], [2, 8], [3, 5]], 13/13544423424],
[[[1, 7], [2, 8], [4, 5]], 83/4423680],
[[[1, 7], [2, 8], [6, 5]], 8203/81266540544],
[[[1, 7], [2, 10], [3, 4]], 619/1083553873920],
[[[1, 7], [2, 10], [4, 4]], 50317/3963617280],
[[[1, 7], [2, 10], [5, 2]], 1537/167215104000],
[[[1, 7], [2, 10], [6, 4]], 105741497/56886578380800],
[[[1, 7], [2, 10], [10, 2]], 25555447/8230118400000],
[[[1, 7], [2, 12], [3, 3]], 1751/3611846246400],
[[[1, 7], [2, 12], [4, 3]], 847703/267544166400],
[[[1, 7], [2, 12], [6, 3]], 213414149/121899810816000],
[[[1, 7], [2, 12], [7, 1]], 20473/468202291200],
[[[1, 7], [2, 12], [9, 1]], 563/16721510400],
[[[1, 7], [2, 12], [14, 1]], 6551411/22122558259200],
[[[1, 7], [2, 12], [18, 1]], 13/199065600],
[[[1, 7], [2, 14], [3, 2]], 58759/24078974976000],
[[[1, 7], [2, 14], [4, 2]], 1593799/5350883328000],
[[[1, 7], [2, 14], [5, 1]], 58759/6688604160000],
[[[1, 7], [2, 14], [6, 2]], 576758131/1991030243328000],
[[[1, 7], [2, 14], [8, 1]], 10771/445906944000],
[[[1, 7], [2, 14], [10, 1]], 20005463/197522841600000],
[[[1, 7], [2, 16], [3, 1]], 2176303/2528292372480000],
[[[1, 7], [2, 16], [4, 1]], 2470613/240789749760000],
[[[1, 7], [2, 16], [6, 1]], 1862550019/159282419466240000],
[[[1, 7], [3, 1], [5, 4]], 53/4320000],
[[[1, 7], [3, 3], [5, 3]], 109/4320000],
[[[1, 7], [3, 3], [7, 2]], 551/22861440],
[[[1, 7], [3, 3], [9, 2]], 11/699840],
[[[1, 7], [3, 5], [5, 2]], 221/27993600],
[[[1, 7], [3, 6], [7, 1]], 103/35271936],
[[[1, 7], [3, 6], [9, 1]], 67/15116544],
[[[1, 7], [3, 7], [5, 1]], 1/1259712],
[[[1, 7], [3, 7], [6, 2]], 1/7558272],
[[[1, 7], [3, 7], [12, 1]], 1/1259712],
[[[1, 7], [5, 3], [7, 1]], 13/1260000],
[[[1, 7], [5, 3], [9, 1]], 1/540000],
[[[1, 7], [7, 2], [9, 1]], 1/63504],
[[[1, 8], [2, 1], [3, 8]], 5/15116544],
[[[1, 8], [2, 1], [5, 4]], 37/5120000],
[[[1, 8], [2, 3], [3, 7]], 31/40310784],
[[[1, 8], [2, 5], [3, 6]], 71/134369280],
[[[1, 8], [2, 5], [4, 6]], 5/3145728],
[[[1, 8], [2, 5], [5, 3]], 629/34560000],
[[[1, 8], [2, 5], [7, 2]], 17/1290240],
[[[1, 8], [2, 5], [10, 3]], 191/17418240000],
[[[1, 8], [2, 5], [14, 2]], 191/3413975040],
[[[1, 8], [2, 7], [3, 5]], 8203/81266540544],
[[[1, 8], [2, 7], [4, 5]], 83/4423680],
[[[1, 8], [2, 7], [6, 5]], 13/13544423424],
[[[1, 8], [2, 9], [3, 4]], 11839/1083553873920],
[[[1, 8], [2, 9], [4, 4]], 20117/849346560],
[[[1, 8], [2, 9], [5, 2]], 3319/26127360000],
[[[1, 8], [2, 9], [6, 4]], 1529401/5417769369600],
[[[1, 8], [2, 9], [10, 2]], 11186519/11705057280000],
[[[1, 8], [2, 11], [3, 3]], 1843/902961561600],
[[[1, 8], [2, 11], [4, 3]], 386809/53508833280],
[[[1, 8], [2, 11], [6, 3]], 85750229/75848771174400],
[[[1, 8], [2, 11], [7, 1]], 1439/15606743040],
[[[1, 8], [2, 11], [9, 1]], 13/199065600],
[[[1, 8], [2, 11], [14, 1]], 54153241/147483721728000],
[[[1, 8], [2, 11], [18, 1]], 49/796262400],
[[[1, 8], [2, 13], [3, 2]], 111269/12039487488000],
[[[1, 8], [2, 13], [4, 2]], 654509/764411904000],
[[[1, 8], [2, 13], [5, 1]], 4117/123863040000],
[[[1, 8], [2, 13], [6, 2]], 134110381/303395084697600],
[[[1, 8], [2, 13], [8, 1]], 331/5945425920],
[[[1, 8], [2, 13], [10, 1]], 230502143/1264146186240000],
[[[1, 8], [2, 15], [3, 1]], 284269/72236924928000],
[[[1, 8], [2, 15], [4, 1]], 572254673/15169754234880000],
[[[1, 8], [2, 15], [6, 1]], 1754234077/53094139822080000],
[[[1, 9], [2, 2], [3, 7]], 413/241864704],
[[[1, 9], [2, 4], [3, 6]], 355/120932352],
[[[1, 9], [2, 4], [4, 6]], 1/3145728],
[[[1, 9], [2, 4], [5, 3]], 1937/69120000],
[[[1, 9], [2, 4], [7, 2]], 167/16257024],
[[[1, 9], [2, 4], [10, 3]], 1/5806080000],
[[[1, 9], [2, 4], [14, 2]], 1/1137991680],
[[[1, 9], [2, 6], [3, 5]], 9959/6449725440],
[[[1, 9], [2, 6], [4, 5]], 301/35389440],
[[[1, 9], [2, 6], [6, 5]], 1/67722117120],
[[[1, 9], [2, 8], [3, 4]], 1529401/5417769369600],
[[[1, 9], [2, 8], [4, 4]], 20117/849346560],
[[[1, 9], [2, 8], [5, 2]], 11186519/11705057280000],
[[[1, 9], [2, 8], [6, 4]], 11839/1083553873920],
[[[1, 9], [2, 8], [10, 2]], 3319/26127360000],
[[[1, 9], [2, 10], [3, 3]], 41351/1547934105600],
[[[1, 9], [2, 10], [4, 3]], 136573/13377208320],
[[[1, 9], [2, 10], [6, 3]], 2237113/7584877117440],
[[[1, 9], [2, 10], [7, 1]], 98099/702303436800],
[[[1, 9], [2, 10], [9, 1]], 49/796262400],
[[[1, 9], [2, 10], [14, 1]], 2414933/9832248115200],
[[[1, 9], [2, 10], [18, 1]], 1/26542080],
[[[1, 9], [2, 12], [3, 2]], 19787/963158999040],
[[[1, 9], [2, 12], [4, 2]], 166635083/112368549888000],
[[[1, 9], [2, 12], [5, 1]], 480311/6688604160000],
[[[1, 9], [2, 12], [6, 2]], 55122049/151697542348800],
[[[1, 9], [2, 12], [8, 1]], 101/1415577600],
[[[1, 9], [2, 12], [10, 1]], 39949439/210691031040000],
[[[1, 9], [2, 14], [3, 1]], 265427/24078974976000],
[[[1, 9], [2, 14], [4, 1]], 43864003/505658474496000],
[[[1, 9], [2, 14], [6, 1]], 86953687/1516975423488000],
[[[1, 9], [3, 2], [5, 3]], 37/3024000],
[[[1, 9], [3, 2], [7, 2]], 14689/2560481280],
[[[1, 9], [3, 2], [9, 2]], 193/470292480],
[[[1, 9], [3, 4], [5, 2]], 9017/979776000],
[[[1, 9], [3, 5], [7, 1]], 1913/823011840],
[[[1, 9], [3, 5], [9, 1]], 379/176359680],
[[[1, 9], [3, 6], [4, 2]], 1/40310784],
[[[1, 9], [3, 6], [5, 1]], 457/251942400],
[[[1, 9], [3, 6], [6, 2]], 1/10077696],
[[[1, 9], [3, 6], [12, 1]], 1/1679616],
[[[1, 9], [4, 2], [5, 3]], 1/23040000],
[[[1, 9], [4, 2], [7, 2]], 1/2709504],
[[[1, 9], [5, 1], [7, 2]], 1/132300],
[[[1, 9], [5, 2], [10, 2]], 1/580608000],
[[[1, 10], [2, 1], [3, 7]], 419/604661760],
[[[1, 10], [2, 3], [3, 6]], 3241/806215680],
[[[1, 10], [2, 3], [5, 3]], 17/1024000],
[[[1, 10], [2, 3], [7, 2]], 137/40642560],
[[[1, 10], [2, 5], [3, 5]], 10037/2149908480],
[[[1, 10], [2, 5], [4, 5]], 1/655360],
[[[1, 10], [2, 7], [3, 4]], 105741497/56886578380800],
[[[1, 10], [2, 7], [4, 4]], 50317/3963617280],
[[[1, 10], [2, 7], [5, 2]], 25555447/8230118400000],
[[[1, 10], [2, 7], [6, 4]], 619/1083553873920],
[[[1, 10], [2, 7], [10, 2]], 1537/167215104000],
[[[1, 10], [2, 9], [3, 3]], 2237113/7584877117440],
[[[1, 10], [2, 9], [4, 3]], 136573/13377208320],
[[[1, 10], [2, 9], [6, 3]], 41351/1547934105600],
[[[1, 10], [2, 9], [7, 1]], 2414933/9832248115200],
[[[1, 10], [2, 9], [9, 1]], 1/26542080],
[[[1, 10], [2, 9], [14, 1]], 98099/702303436800],
[[[1, 10], [2, 9], [18, 1]], 49/796262400],
[[[1, 10], [2, 11], [3, 2]], 52043/1203948748800],
[[[1, 10], [2, 11], [4, 2]], 20679821/12039487488000],
[[[1, 10], [2, 11], [5, 1]], 487231/5016453120000],
[[[1, 10], [2, 11], [6, 2]], 15201779/101131694899200],
[[[1, 10], [2, 11], [8, 1]], 79/1415577600],
[[[1, 10], [2, 11], [10, 1]], 400531/3121348608000],
[[[1, 10], [2, 13], [3, 1]], 255013/13377208320000],
[[[1, 10], [2, 13], [4, 1]], 6977641/56184274944000],
[[[1, 10], [2, 13], [6, 1]], 89348629/1516975423488000],
[[[1, 11], [2, 2], [3, 6]], 30071/16930529280],
[[[1, 11], [2, 2], [5, 3]], 521/116121600],
[[[1, 11], [2, 2], [7, 2]], 139/284497920],
[[[1, 11], [2, 4], [3, 5]], 31741/6449725440],
[[[1, 11], [2, 4], [4, 5]], 19/141557760],
[[[1, 11], [2, 6], [3, 4]], 693241/180592312320],
[[[1, 11], [2, 6], [4, 4]], 90943/25480396800],
[[[1, 11], [2, 6], [5, 2]], 7938547/2090188800000],
[[[1, 11], [2, 6], [6, 4]], 1/120394874880],
[[[1, 11], [2, 6], [10, 2]], 1/4354560000],
[[[1, 11], [2, 8], [3, 3]], 85750229/75848771174400],
[[[1, 11], [2, 8], [4, 3]], 386809/53508833280],
[[[1, 11], [2, 8], [6, 3]], 1843/902961561600],
[[[1, 11], [2, 8], [7, 1]], 54153241/147483721728000],
[[[1, 11], [2, 8], [9, 1]], 49/796262400],
[[[1, 11], [2, 8], [14, 1]], 1439/15606743040],
[[[1, 11], [2, 8], [18, 1]], 13/199065600],
[[[1, 11], [2, 10], [3, 2]], 15201779/101131694899200],
[[[1, 11], [2, 10], [4, 2]], 20679821/12039487488000],
[[[1, 11], [2, 10], [5, 1]], 400531/3121348608000],
[[[1, 11], [2, 10], [6, 2]], 52043/1203948748800],
[[[1, 11], [2, 10], [8, 1]], 79/1415577600],
[[[1, 11], [2, 10], [10, 1]], 487231/5016453120000],
[[[1, 11], [2, 12], [3, 1]], 827123/33710564966400],
[[[1, 11], [2, 12], [4, 1]], 2519653/20226338979840],
[[[1, 11], [2, 12], [6, 1]], 2140979/56184274944000],
[[[1, 11], [3, 1], [5, 3]], 97/96768000],
[[[1, 11], [3, 1], [7, 2]], 2297/12802406400],
[[[1, 11], [3, 1], [9, 2]], 1/587865600],
[[[1, 11], [3, 3], [5, 2]], 485183/235146240000],
[[[1, 11], [3, 4], [7, 1]], 54431/98761420800],
[[[1, 11], [3, 4], [9, 1]], 11231/42326323200],
[[[1, 11], [3, 5], [4, 2]], 1/53747712],
[[[1, 11], [3, 5], [5, 1]], 1877/2351462400],
[[[1, 11], [3, 5], [6, 2]], 121/5643509760],
[[[1, 11], [3, 5], [12, 1]], 121/940584960],
[[[1, 11], [5, 2], [7, 1]], 23201/30481920000],
[[[1, 11], [5, 2], [9, 1]], 253/3265920000],
[[[1, 12], [2, 1], [3, 6]], 1289/4232632320],
[[[1, 12], [2, 1], [5, 3]], 1873/3483648000],
[[[1, 12], [2, 1], [7, 2]], 499/17069875200],
[[[1, 12], [2, 3], [3, 5]], 311/143327232],
[[[1, 12], [2, 3], [4, 5]], 1/141557760],
[[[1, 12], [2, 5], [3, 4]], 1011751/300987187200],
[[[1, 12], [2, 5], [4, 4]], 10967/19818086400],
[[[1, 12], [2, 5], [5, 2]], 38803/17418240000],
[[[1, 12], [2, 5], [10, 2]], 1/557383680000],
[[[1, 12], [2, 7], [3, 3]], 213414149/121899810816000],
[[[1, 12], [2, 7], [4, 3]], 847703/267544166400],
[[[1, 12], [2, 7], [6, 3]], 1751/3611846246400],
[[[1, 12], [2, 7], [7, 1]], 6551411/22122558259200],
[[[1, 12], [2, 7], [9, 1]], 13/199065600],
[[[1, 12], [2, 7], [14, 1]], 20473/468202291200],
[[[1, 12], [2, 7], [18, 1]], 563/16721510400],
[[[1, 12], [2, 9], [3, 2]], 55122049/151697542348800],
[[[1, 12], [2, 9], [4, 2]], 166635083/112368549888000],
[[[1, 12], [2, 9], [5, 1]], 39949439/210691031040000],
[[[1, 12], [2, 9], [6, 2]], 19787/963158999040],
[[[1, 12], [2, 9], [8, 1]], 101/1415577600],
[[[1, 12], [2, 9], [10, 1]], 480311/6688604160000],
[[[1, 12], [2, 11], [3, 1]], 2140979/56184274944000],
[[[1, 12], [2, 11], [4, 1]], 2519653/20226338979840],
[[[1, 12], [2, 11], [6, 1]], 827123/33710564966400],
[[[1, 13], [2, 2], [3, 5]], 8647/19349176320],
[[[1, 13], [2, 4], [3, 4]], 36869/25798901760],
[[[1, 13], [2, 4], [4, 4]], 1007/19818086400],
[[[1, 13], [2, 4], [5, 2]], 1158949/1672151040000],
[[[1, 13], [2, 6], [3, 3]], 71272847/54177693696000],
[[[1, 13], [2, 6], [4, 3]], 71663/89181388800],
[[[1, 13], [2, 6], [6, 3]], 1163/9029615616000],
[[[1, 13], [2, 6], [7, 1]], 28433/219469824000],
[[[1, 13], [2, 6], [9, 1]], 563/16721510400],
[[[1, 13], [2, 6], [14, 1]], 3103/260112384000],
[[[1, 13], [2, 6], [18, 1]], 1163/125411328000],
[[[1, 13], [2, 8], [3, 2]], 134110381/303395084697600],
[[[1, 13], [2, 8], [4, 2]], 654509/764411904000],
[[[1, 13], [2, 8], [5, 1]], 230502143/1264146186240000],
[[[1, 13], [2, 8], [6, 2]], 111269/12039487488000],
[[[1, 13], [2, 8], [8, 1]], 331/5945425920],
[[[1, 13], [2, 8], [10, 1]], 4117/123863040000],
[[[1, 13], [2, 10], [3, 1]], 89348629/1516975423488000],
[[[1, 13], [2, 10], [4, 1]], 6977641/56184274944000],
[[[1, 13], [2, 10], [6, 1]], 255013/13377208320000],
[[[1, 13], [3, 2], [5, 2]], 7829/62705664000],
[[[1, 13], [3, 3], [7, 1]], 12637/395045683200],
[[[1, 13], [3, 3], [9, 1]], 1783/169305292800],
[[[1, 13], [3, 4], [4, 2]], 121/30098718720],
[[[1, 13], [3, 4], [5, 1]], 14827/141087744000],
[[[1, 13], [3, 4], [6, 2]], 13/12093235200],
[[[1, 13], [3, 4], [12, 1]], 13/2015539200],
[[[1, 13], [4, 2], [5, 2]], 253/139345920000],
[[[1, 13], [7, 1], [9, 1]], 1/2743372800],
[[[1, 14], [2, 1], [3, 5]], 817/19349176320],
[[[1, 14], [2, 3], [3, 4]], 575683/1805923123200],
[[[1, 14], [2, 3], [4, 4]], 73/25480396800],
[[[1, 14], [2, 3], [5, 2]], 11/93312000],
[[[1, 14], [2, 5], [3, 3]], 228143/429981696000],
[[[1, 14], [2, 5], [4, 3]], 30671/267544166400],
[[[1, 14], [2, 5], [6, 3]], 73/3611846246400],
[[[1, 14], [2, 5], [7, 1]], 1199/37158912000],
[[[1, 14], [2, 5], [9, 1]], 1163/125411328000],
[[[1, 14], [2, 5], [14, 1]], 73/39016857600],
[[[1, 14], [2, 5], [18, 1]], 73/50164531200],
[[[1, 14], [2, 7], [3, 2]], 576758131/1991030243328000],
[[[1, 14], [2, 7], [4, 2]], 1593799/5350883328000],
[[[1, 14], [2, 7], [5, 1]], 20005463/197522841600000],
[[[1, 14], [2, 7], [6, 2]], 58759/24078974976000],
[[[1, 14], [2, 7], [8, 1]], 10771/445906944000],
[[[1, 14], [2, 7], [10, 1]], 58759/6688604160000],
[[[1, 14], [2, 9], [3, 1]], 86953687/1516975423488000],
[[[1, 14], [2, 9], [4, 1]], 43864003/505658474496000],
[[[1, 14], [2, 9], [6, 1]], 265427/24078974976000],
[[[1, 15], [2, 2], [3, 4]], 29197/773967052800],
[[[1, 15], [2, 2], [4, 4]], 1/11890851840],
[[[1, 15], [2, 2], [5, 2]], 1801/167215104000],
[[[1, 15], [2, 4], [3, 3]], 52841/433421549568],
[[[1, 15], [2, 4], [4, 3]], 35723/4013162496000],
[[[1, 15], [2, 4], [6, 3]], 1/541776936960],
[[[1, 15], [2, 4], [7, 1]], 6613/1404606873600],
[[[1, 15], [2, 4], [9, 1]], 73/50164531200],
[[[1, 15], [2, 4], [14, 1]], 1/5852528640],
[[[1, 15], [2, 4], [18, 1]], 1/7524679680],
[[[1, 15], [2, 6], [3, 2]], 55501561/505658474496000],
[[[1, 15], [2, 6], [4, 2]], 993857/16052649984000],
[[[1, 15], [2, 6], [5, 1]], 3362731/100329062400000],
[[[1, 15], [2, 6], [6, 2]], 677/1805923123200],
[[[1, 15], [2, 6], [8, 1]], 299/49545216000],
[[[1, 15], [2, 6], [10, 1]], 677/501645312000],
[[[1, 15], [2, 8], [3, 1]], 1754234077/53094139822080000],
[[[1, 15], [2, 8], [4, 1]], 572254673/15169754234880000],
[[[1, 15], [2, 8], [6, 1]], 284269/72236924928000],
[[[1, 15], [3, 1], [5, 2]], 5153/2194698240000],
[[[1, 15], [3, 2], [7, 1]], 5713/9217732608000],
[[[1, 15], [3, 2], [9, 1]], 47/282175488000],
[[[1, 15], [3, 3], [4, 2]], 13/64497254400],
[[[1, 15], [3, 3], [5, 1]], 46031/9876142080000],
[[[1, 15], [3, 3], [6, 2]], 31/1580182732800],
[[[1, 15], [3, 3], [12, 1]], 31/263363788800],
[[[1, 15], [4, 2], [7, 1]], 1/117050572800],
[[[1, 15], [5, 1], [7, 1]], 19/121927680000],
[[[1, 15], [5, 1], [9, 1]], 1/39191040000],
[[[1, 16], [2, 1], [3, 4]], 8549/3869835264000],
[[[1, 16], [2, 1], [5, 2]], 59/121927680000],
[[[1, 16], [2, 3], [3, 3]], 102913/6320730931200],
[[[1, 16], [2, 3], [4, 3]], 23/63700992000],
[[[1, 16], [2, 3], [6, 3]], 73/758487711744000],
[[[1, 16], [2, 3], [7, 1]], 283/702303436800],
[[[1, 16], [2, 3], [9, 1]], 1/7524679680],
[[[1, 16], [2, 3], [14, 1]], 73/8193540096000],
[[[1, 16], [2, 3], [18, 1]], 73/10534551552000],
[[[1, 16], [2, 5], [3, 2]], 2123909/84276412416000],
[[[1, 16], [2, 5], [4, 2]], 1152229/149824733184000],
[[[1, 16], [2, 5], [5, 1]], 13687/2006581248000],
[[[1, 16], [2, 5], [6, 2]], 4273/126414618624000],
[[[1, 16], [2, 5], [8, 1]], 239/267544166400],
[[[1, 16], [2, 5], [10, 1]], 4273/35115171840000],
[[[1, 16], [2, 7], [3, 1]], 1862550019/159282419466240000],
[[[1, 16], [2, 7], [4, 1]], 2470613/240789749760000],
[[[1, 16], [2, 7], [6, 1]], 2176303/2528292372480000],
[[[1, 17], [2, 2], [3, 3]], 187693/151697542348800],
[[[1, 17], [2, 2], [4, 3]], 1/127401984000],
[[[1, 17], [2, 2], [6, 3]], 1/379243855872000],
[[[1, 17], [2, 2], [7, 1]], 241/12290310144000],
[[[1, 17], [2, 2], [9, 1]], 73/10534551552000],
[[[1, 17], [2, 2], [14, 1]], 1/4096770048000],
[[[1, 17], [2, 2], [18, 1]], 1/5267275776000],
[[[1, 17], [2, 4], [3, 2]], 1811597/505658474496000],
[[[1, 17], [2, 4], [4, 2]], 83729/149824733184000],
[[[1, 17], [2, 4], [5, 1]], 1927/2229534720000],
[[[1, 17], [2, 4], [6, 2]], 221/126414618624000],
[[[1, 17], [2, 4], [8, 1]], 491/6242697216000],
[[[1, 17], [2, 4], [10, 1]], 221/35115171840000],
[[[1, 17], [2, 6], [3, 1]], 6656521/2528292372480000],
[[[1, 17], [2, 6], [4, 1]], 12487/7023034368000],
[[[1, 17], [2, 6], [6, 1]], 294047/2528292372480000],
[[[1, 17], [3, 1], [7, 1]], 149/44245116518400],
[[[1, 17], [3, 1], [9, 1]], 97/94810963968000],
[[[1, 17], [3, 2], [4, 2]], 31/8427641241600],
[[[1, 17], [3, 2], [5, 1]], 419/5267275776000],
[[[1, 17], [3, 2], [6, 2]], 1/7900913664000],
[[[1, 17], [3, 2], [12, 1]], 1/1316818944000],
[[[1, 17], [4, 2], [5, 1]], 1/1672151040000],
[[[1, 18], [2, 1], [3, 3]], 18673/379243855872000],
[[[1, 18], [2, 1], [4, 3]], 1/8026324992000],
[[[1, 18], [2, 1], [6, 3]], 1/34131947028480000],
[[[1, 18], [2, 1], [7, 1]], 73/147483721728000],
[[[1, 18], [2, 1], [9, 1]], 1/5267275776000],
[[[1, 18], [2, 1], [14, 1]], 1/368709304320000],
[[[1, 18], [2, 1], [18, 1]], 1/474054819840000],
[[[1, 18], [2, 3], [3, 2]], 1103/3511517184000],
[[[1, 18], [2, 3], [4, 2]], 28321/1264146186240000],
[[[1, 18], [2, 3], [5, 1]], 79/1170505728000],
[[[1, 18], [2, 3], [6, 2]], 271/5688657838080000],
[[[1, 18], [2, 3], [8, 1]], 1/249707888640],
[[[1, 18], [2, 3], [10, 1]], 271/1580182732800000],
[[[1, 18], [2, 5], [3, 1]], 40543/105345515520000],
[[[1, 18], [2, 5], [4, 1]], 9509/48157949952000],
[[[1, 18], [2, 5], [6, 1]], 34193/3555411148800000],
[[[1, 19], [2, 2], [3, 2]], 24859/1516975423488000],
[[[1, 19], [2, 2], [4, 2]], 377/842764124160000],
[[[1, 19], [2, 2], [5, 1]], 263/84276412416000],
[[[1, 19], [2, 2], [6, 2]], 1/1896219279360000],
[[[1, 19], [2, 2], [8, 1]], 13/120394874880000],
[[[1, 19], [2, 2], [10, 1]], 1/526727577600000],
[[[1, 19], [2, 4], [3, 1]], 4633/126414618624000],
[[[1, 19], [2, 4], [4, 1]], 15569/1123685498880000],
[[[1, 19], [2, 4], [6, 1]], 127/270888468480000],
[[[1, 19], [3, 1], [4, 2]], 1/42138206208000],
[[[1, 19], [3, 1], [5, 1]], 143/316036546560000],
[[[1, 19], [3, 1], [6, 2]], 1/3792438558720000],
[[[1, 19], [3, 1], [12, 1]], 1/632073093120000],
[[[1, 19], [4, 1], [8, 1]], 1/842764124160000],
[[[1, 20], [2, 1], [3, 2]], 1753/3792438558720000],
[[[1, 20], [2, 1], [4, 2]], 31/6742112993280000],
[[[1, 20], [2, 1], [5, 1]], 1/12899450880000],
[[[1, 20], [2, 1], [8, 1]], 1/842764124160000],
[[[1, 20], [2, 3], [3, 1]], 5657/2528292372480000],
[[[1, 20], [2, 3], [4, 1]], 5947/10113169489920000],
[[[1, 20], [2, 3], [6, 1]], 31/2528292372480000],
[[[1, 21], [2, 2], [3, 1]], 127/1516975423488000],
[[[1, 21], [2, 2], [4, 1]], 23/1685528248320000],
[[[1, 21], [2, 2], [6, 1]], 1/7584877117440000],
[[[1, 22], [2, 1], [3, 1]], 23/13273534955520000],
[[[1, 22], [2, 1], [4, 1]], 1/7584877117440000],
[[[2, 3], [6, 1], [10, 5]], 1/150000],
[[[2, 3], [6, 2], [14, 3]], 1/12348],
[[[2, 3], [6, 2], [18, 3]], 1/2916],
[[[2, 3], [6, 3], [10, 4]], 1/6480000],
[[[2, 3], [6, 5], [14, 2]], 1/1143072],
[[[2, 3], [6, 5], [18, 2]], 1/209952],
[[[2, 3], [10, 4], [14, 1]], 1/70000],
[[[2, 3], [10, 4], [18, 1]], 1/90000],
[[[2, 5], [4, 2], [10, 4]], 1/3840000],
[[[2, 5], [5, 2], [10, 3]], 1/12000],
[[[2, 5], [6, 1], [14, 3]], 1/12348],
[[[2, 5], [6, 2], [10, 4]], 1/43200],
[[[2, 5], [6, 4], [10, 3]], 1/216000],
[[[2, 5], [6, 4], [14, 2]], 31/1143072],
[[[2, 5], [6, 4], [18, 2]], 7/104976],
[[[2, 5], [6, 6], [10, 2]], 1/10497600],
[[[2, 5], [6, 7], [14, 1]], 1/4408992],
[[[2, 5], [6, 7], [18, 1]], 1/1889568],
[[[2, 5], [10, 2], [14, 2]], 1/29400],
[[[2, 7], [3, 2], [6, 7]], 1/7558272],
[[[2, 7], [6, 1], [10, 4]], 53/4320000],
[[[2, 7], [6, 3], [10, 3]], 109/4320000],
[[[2, 7], [6, 3], [14, 2]], 551/22861440],
[[[2, 7], [6, 3], [18, 2]], 11/699840],
[[[2, 7], [6, 5], [10, 2]], 221/27993600],
[[[2, 7], [6, 6], [14, 1]], 103/35271936],
[[[2, 7], [6, 6], [18, 1]], 67/15116544],
[[[2, 7], [6, 7], [10, 1]], 1/1259712],
[[[2, 7], [6, 7], [12, 1]], 1/1259712],
[[[2, 7], [10, 3], [14, 1]], 13/1260000],
[[[2, 7], [10, 3], [18, 1]], 1/540000],
[[[2, 7], [14, 2], [18, 1]], 1/63504],
[[[2, 9], [3, 2], [6, 6]], 1/10077696],
[[[2, 9], [4, 2], [6, 6]], 1/40310784],
[[[2, 9], [4, 2], [10, 3]], 1/23040000],
[[[2, 9], [4, 2], [14, 2]], 1/2709504],
[[[2, 9], [5, 2], [10, 2]], 1/580608000],
[[[2, 9], [6, 2], [10, 3]], 37/3024000],
[[[2, 9], [6, 2], [14, 2]], 14689/2560481280],
[[[2, 9], [6, 2], [18, 2]], 193/470292480],
[[[2, 9], [6, 4], [10, 2]], 9017/979776000],
[[[2, 9], [6, 5], [14, 1]], 1913/823011840],
[[[2, 9], [6, 5], [18, 1]], 379/176359680],
[[[2, 9], [6, 6], [10, 1]], 457/251942400],
[[[2, 9], [6, 6], [12, 1]], 1/1679616],
[[[2, 9], [10, 1], [14, 2]], 1/132300],
[[[2, 11], [3, 2], [6, 5]], 121/5643509760],
[[[2, 11], [4, 2], [6, 5]], 1/53747712],
[[[2, 11], [6, 1], [10, 3]], 97/96768000],
[[[2, 11], [6, 1], [14, 2]], 2297/12802406400],
[[[2, 11], [6, 1], [18, 2]], 1/587865600],
[[[2, 11], [6, 3], [10, 2]], 485183/235146240000],
[[[2, 11], [6, 4], [14, 1]], 54431/98761420800],
[[[2, 11], [6, 4], [18, 1]], 11231/42326323200],
[[[2, 11], [6, 5], [10, 1]], 1877/2351462400],
[[[2, 11], [6, 5], [12, 1]], 121/940584960],
[[[2, 11], [10, 2], [14, 1]], 23201/30481920000],
[[[2, 11], [10, 2], [18, 1]], 253/3265920000],
[[[2, 13], [3, 2], [6, 4]], 13/12093235200],
[[[2, 13], [4, 2], [6, 4]], 121/30098718720],
[[[2, 13], [4, 2], [10, 2]], 253/139345920000],
[[[2, 13], [6, 2], [10, 2]], 7829/62705664000],
[[[2, 13], [6, 3], [14, 1]], 12637/395045683200],
[[[2, 13], [6, 3], [18, 1]], 1783/169305292800],
[[[2, 13], [6, 4], [10, 1]], 14827/141087744000],
[[[2, 13], [6, 4], [12, 1]], 13/2015539200],
[[[2, 13], [14, 1], [18, 1]], 1/2743372800],
[[[2, 15], [3, 2], [6, 3]], 31/1580182732800],
[[[2, 15], [4, 2], [6, 3]], 13/64497254400],
[[[2, 15], [4, 2], [14, 1]], 1/117050572800],
[[[2, 15], [6, 1], [10, 2]], 5153/2194698240000],
[[[2, 15], [6, 2], [14, 1]], 5713/9217732608000],
[[[2, 15], [6, 2], [18, 1]], 47/282175488000],
[[[2, 15], [6, 3], [10, 1]], 46031/9876142080000],
[[[2, 15], [6, 3], [12, 1]], 31/263363788800],
[[[2, 15], [10, 1], [14, 1]], 19/121927680000],
[[[2, 15], [10, 1], [18, 1]], 1/39191040000],
[[[2, 17], [3, 2], [6, 2]], 1/7900913664000],
[[[2, 17], [4, 2], [6, 2]], 31/8427641241600],
[[[2, 17], [4, 2], [10, 1]], 1/1672151040000],
[[[2, 17], [6, 1], [14, 1]], 149/44245116518400],
[[[2, 17], [6, 1], [18, 1]], 97/94810963968000],
[[[2, 17], [6, 2], [10, 1]], 419/5267275776000],
[[[2, 17], [6, 2], [12, 1]], 1/1316818944000],
[[[2, 19], [3, 2], [6, 1]], 1/3792438558720000],
[[[2, 19], [4, 1], [8, 1]], 1/842764124160000],
[[[2, 19], [4, 2], [6, 1]], 1/42138206208000],
[[[2, 19], [6, 1], [10, 1]], 143/316036546560000],
[[[2, 19], [6, 1], [12, 1]], 1/632073093120000],
[[[1, 1], [2, 2], [3, 3], [10, 4]], 1/6480000],
[[[1, 1], [2, 2], [7, 1], [10, 4]], 1/70000],
[[[1, 1], [2, 2], [9, 1], [10, 4]], 1/90000],
[[[1, 1], [2, 4], [4, 2], [10, 4]], 1/1280000],
[[[1, 1], [2, 4], [5, 1], [10, 4]], 1/30000],
[[[1, 1], [2, 4], [5, 2], [10, 3]], 1/4000],
[[[1, 1], [2, 4], [5, 3], [10, 2]], 1/30000],
[[[1, 1], [2, 4], [6, 1], [14, 3]], 1/4116],
[[[1, 1], [2, 4], [6, 2], [10, 4]], 1/40000],
[[[1, 1], [2, 4], [6, 4], [10, 3]], 1/1944000],
[[[1, 1], [2, 4], [6, 4], [14, 2]], 1/54432],
[[[1, 1], [2, 4], [6, 4], [18, 2]], 1/11664],
[[[1, 1], [2, 4], [8, 1], [10, 4]], 1/160000],
[[[1, 1], [2, 4], [10, 2], [14, 2]], 1/9800],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 1/2519424],
[[[1, 1], [2, 6], [3, 3], [6, 6]], 163/68024448],
[[[1, 1], [2, 6], [3, 3], [10, 3]], 1/38880000],
[[[1, 1], [2, 6], [3, 3], [14, 2]], 1/4572288],
[[[1, 1], [2, 6], [4, 1], [6, 8]], 1/15116544],
[[[1, 1], [2, 6], [4, 1], [10, 4]], 11/640000],
[[[1, 1], [2, 6], [4, 3], [10, 3]], 1/768000],
[[[1, 1], [2, 6], [6, 1], [10, 4]], 9/160000],
[[[1, 1], [2, 6], [6, 3], [10, 3]], 253/3888000],
[[[1, 1], [2, 6], [6, 3], [14, 2]], 11/95256],
[[[1, 1], [2, 6], [6, 3], [18, 2]], 5/46656],
[[[1, 1], [2, 6], [6, 5], [10, 2]], 1/103680],
[[[1, 1], [2, 6], [6, 6], [7, 1]], 1/734832],
[[[1, 1], [2, 6], [6, 6], [9, 1]], 1/944784],
[[[1, 1], [2, 6], [6, 6], [14, 1]], 29/5878656],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 1/93312],
[[[1, 1], [2, 6], [6, 7], [10, 1]], 1/6298560],
[[[1, 1], [2, 6], [7, 1], [10, 3]], 1/420000],
[[[1, 1], [2, 6], [7, 1], [14, 2]], 1/49392],
[[[1, 1], [2, 6], [9, 1], [10, 3]], 1/540000],
[[[1, 1], [2, 6], [9, 1], [14, 2]], 1/63504],
[[[1, 1], [2, 6], [10, 3], [14, 1]], 1/14000],
[[[1, 1], [2, 6], [10, 3], [18, 1]], 1/54000],
[[[1, 1], [2, 6], [14, 2], [18, 1]], 1/10584],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 29/10077696],
[[[1, 1], [2, 8], [3, 2], [6, 6]], 1/1679616],
[[[1, 1], [2, 8], [3, 3], [6, 5]], 109/90699264],
[[[1, 1], [2, 8], [4, 1], [6, 7]], 107/120932352],
[[[1, 1], [2, 8], [4, 2], [6, 6]], 1/13436928],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 13/23040000],
[[[1, 1], [2, 8], [4, 2], [14, 2]], 1/301056],
[[[1, 1], [2, 8], [4, 3], [6, 5]], 1/8957952],
[[[1, 1], [2, 8], [5, 1], [10, 3]], 4033/1451520000],
[[[1, 1], [2, 8], [5, 2], [10, 2]], 1/9216000],
[[[1, 1], [2, 8], [5, 3], [10, 1]], 1/1451520000],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 4/50625],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 461/8128512],
[[[1, 1], [2, 8], [6, 2], [18, 2]], 13/1492992],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 791/15552000],
[[[1, 1], [2, 8], [6, 5], [7, 1]], 1/979776],
[[[1, 1], [2, 8], [6, 5], [9, 1]], 1/1259712],
[[[1, 1], [2, 8], [6, 5], [14, 1]], 91/5598720],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 151/8398080],
[[[1, 1], [2, 8], [6, 6], [8, 1]], 1/1679616],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 409/50388480],
[[[1, 1], [2, 8], [6, 6], [12, 1]], 1/279936],
[[[1, 1], [2, 8], [8, 1], [10, 3]], 1/960000],
[[[1, 1], [2, 8], [8, 1], [14, 2]], 1/112896],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 1/12600],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 641/376233984],
[[[1, 1], [2, 10], [3, 2], [6, 5]], 19/67184640],
[[[1, 1], [2, 10], [3, 3], [6, 4]], 7087/50791587840],
[[[1, 1], [2, 10], [3, 3], [10, 2]], 253/235146240000],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 3979/4232632320],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 4621/2903040000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 1/752640],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 1/5971968],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 11/71663616],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 13/110592000],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 15931/1088640000],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 1769/426746880],
[[[1, 1], [2, 10], [6, 1], [18, 2]], 1/13063680],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 43453/1741824000],
[[[1, 1], [2, 10], [6, 4], [7, 1]], 121/548674560],
[[[1, 1], [2, 10], [6, 4], [9, 1]], 121/705438720],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 2353/313528320],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 4087/940584960],
[[[1, 1], [2, 10], [6, 5], [8, 1]], 1/2239488],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 251/29393280],
[[[1, 1], [2, 10], [6, 5], [12, 1]], 19/11197440],
[[[1, 1], [2, 10], [7, 1], [10, 2]], 253/2540160000],
[[[1, 1], [2, 10], [9, 1], [10, 2]], 253/3265920000],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 12797/1016064000],
[[[1, 1], [2, 10], [10, 2], [18, 1]], 113/72576000],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 1073/3527193600],
[[[1, 1], [2, 12], [3, 2], [6, 4]], 11/376233984],
[[[1, 1], [2, 12], [3, 3], [6, 3]], 1301/380936908800],
[[[1, 1], [2, 12], [3, 3], [14, 1]], 1/197522841600],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 14183/48372940800],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 653/10032906240],
[[[1, 1], [2, 12], [4, 2], [8, 2]], 1/1857945600],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 487/11612160000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 23/501645312],
[[[1, 1], [2, 12], [4, 3], [14, 1]], 1/92897280],
[[[1, 1], [2, 12], [5, 1], [10, 2]], 1/1935360000],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 32239/11612160000],
[[[1, 1], [2, 12], [6, 3], [7, 1]], 13/1175731200],
[[[1, 1], [2, 12], [6, 3], [9, 1]], 13/1511654400],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 110497/131681894400],
[[[1, 1], [2, 12], [6, 3], [18, 1]], 1159/3762339840],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 121/1254113280],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 20437/10077696000],
[[[1, 1], [2, 12], [6, 4], [12, 1]], 11/62705664],
[[[1, 1], [2, 12], [7, 1], [14, 1]], 1/2133734400],
[[[1, 1], [2, 12], [8, 1], [10, 2]], 253/5806080000],
[[[1, 1], [2, 12], [9, 1], [14, 1]], 1/2743372800],
[[[1, 1], [2, 12], [14, 1], [18, 1]], 1/57153600],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 6103/395045683200],
[[[1, 1], [2, 14], [3, 2], [6, 3]], 13/15049359360],
[[[1, 1], [2, 14], [3, 3], [6, 2]], 11/711082229760],
[[[1, 1], [2, 14], [3, 3], [10, 1]], 1/2821754880000],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 1063/38698352640],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 5659/418037760000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 229/37623398400],
[[[1, 1], [2, 14], [4, 2], [14, 1]], 17/39016857600],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 451/200658124800],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 1/44590694400],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 43/55738368000],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 13/155520000],
[[[1, 1], [2, 14], [6, 2], [7, 1]], 31/153628876800],
[[[1, 1], [2, 14], [6, 2], [9, 1]], 31/197522841600],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 577/21946982400],
[[[1, 1], [2, 14], [6, 2], [18, 1]], 71/9405849600],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 13/2687385600],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 12109/80621568000],
[[[1, 1], [2, 14], [6, 3], [12, 1]], 13/2508226560],
[[[1, 1], [2, 14], [7, 1], [10, 1]], 1/30481920000],
[[[1, 1], [2, 14], [8, 1], [14, 1]], 1/4877107200],
[[[1, 1], [2, 14], [9, 1], [10, 1]], 1/39191040000],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 11/1306368000],
[[[1, 1], [2, 14], [10, 1], [18, 1]], 11/7838208000],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 2977/10534551552000],
[[[1, 1], [2, 16], [3, 2], [6, 2]], 11/1316818944000],
[[[1, 1], [2, 16], [3, 3], [6, 1]], 1/71108222976000],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 94601/94810963968000],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 47/1755758592000],
[[[1, 1], [2, 16], [4, 1], [18, 1]], 1/188116992000],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 1/5780275200],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 1/334430208000],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 29/836075520000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 1/28665446400],
[[[1, 1], [2, 16], [5, 1], [10, 1]], 1/105345515520000],
[[[1, 1], [2, 16], [6, 1], [7, 1]], 1/768144384000],
[[[1, 1], [2, 16], [6, 1], [9, 1]], 1/987614208000],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 1409/6145155072000],
[[[1, 1], [2, 16], [6, 1], [18, 1]], 179/2633637888000],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 31/351151718400],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 101417/26336378880000],
[[[1, 1], [2, 16], [6, 2], [12, 1]], 11/219469824000],
[[[1, 1], [2, 16], [8, 1], [10, 1]], 1/69672960000],
[[[1, 1], [2, 18], [3, 1], [5, 1]], 1/790091366400000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 2047/1264146186240000],
[[[1, 1], [2, 18], [3, 1], [12, 1]], 1/632073093120000],
[[[1, 1], [2, 18], [3, 2], [6, 1]], 1/42138206208000],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 11359/758487711744000],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 1/8778792960000],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 631/210691031040000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 23/14046068736000],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 1/1755758592000],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 10249/316036546560000],
[[[1, 1], [2, 18], [6, 1], [12, 1]], 1/7023034368000],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/1264146186240000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/361184624640000],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 151/1896219279360000],
[[[1, 2], [2, 1], [5, 4], [6, 3]], 1/6480000],
[[[1, 2], [2, 1], [5, 4], [14, 1]], 1/70000],
[[[1, 2], [2, 1], [5, 4], [18, 1]], 1/90000],
[[[1, 2], [2, 3], [3, 2], [10, 4]], 1/360000],
[[[1, 2], [2, 3], [4, 2], [5, 4]], 1/3840000],
[[[1, 2], [2, 3], [4, 2], [10, 4]], 1/1280000],
[[[1, 2], [2, 3], [5, 1], [10, 4]], 11/100000],
[[[1, 2], [2, 3], [5, 2], [10, 3]], 1/12000],
[[[1, 2], [2, 3], [5, 3], [10, 2]], 7/20000],
[[[1, 2], [2, 3], [5, 4], [6, 2]], 1/1080000],
[[[1, 2], [2, 3], [5, 4], [10, 1]], 1/300000],
[[[1, 2], [2, 3], [8, 1], [10, 4]], 1/160000],
[[[1, 2], [2, 5], [3, 1], [10, 4]], 1/1440000],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 1/279936],
[[[1, 2], [2, 5], [3, 3], [10, 3]], 1/3888000],
[[[1, 2], [2, 5], [3, 3], [14, 2]], 1/762048],
[[[1, 2], [2, 5], [3, 4], [6, 5]], 83/7558272],
[[[1, 2], [2, 5], [4, 1], [10, 4]], 103/1920000],
[[[1, 2], [2, 5], [4, 2], [6, 7]], 1/13436928],
[[[1, 2], [2, 5], [4, 3], [8, 3]], 1/8192],
[[[1, 2], [2, 5], [4, 3], [10, 3]], 1/256000],
[[[1, 2], [2, 5], [5, 4], [6, 1]], 1/21600000],
[[[1, 2], [2, 5], [6, 1], [10, 4]], 1/19200],
[[[1, 2], [2, 5], [6, 3], [10, 3]], 17/518400],
[[[1, 2], [2, 5], [6, 3], [14, 2]], 43/508032],
[[[1, 2], [2, 5], [6, 3], [18, 2]], 5/46656],
[[[1, 2], [2, 5], [6, 5], [10, 2]], 1/1866240],
[[[1, 2], [2, 5], [6, 6], [14, 1]], 1/3919104],
[[[1, 2], [2, 5], [6, 6], [18, 1]], 1/1679616],
[[[1, 2], [2, 5], [7, 1], [10, 3]], 1/42000],
[[[1, 2], [2, 5], [7, 1], [14, 2]], 1/8232],
[[[1, 2], [2, 5], [9, 1], [10, 3]], 1/54000],
[[[1, 2], [2, 5], [9, 1], [14, 2]], 1/10584],
[[[1, 2], [2, 5], [10, 3], [14, 1]], 3/28000],
[[[1, 2], [2, 5], [10, 3], [18, 1]], 1/36000],
[[[1, 2], [2, 5], [14, 2], [18, 1]], 1/7056],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 109/15116544],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 427/15116544],
[[[1, 2], [2, 7], [3, 2], [7, 2]], 1/2560481280],
[[[1, 2], [2, 7], [3, 2], [9, 2]], 1/470292480],
[[[1, 2], [2, 7], [3, 2], [10, 3]], 1/2160000],
[[[1, 2], [2, 7], [3, 2], [14, 2]], 1/254016],
[[[1, 2], [2, 7], [3, 3], [6, 5]], 109/15116544],
[[[1, 2], [2, 7], [3, 4], [6, 4]], 85/30233088],
[[[1, 2], [2, 7], [4, 1], [6, 7]], 13/6718464],
[[[1, 2], [2, 7], [4, 2], [6, 6]], 17/6718464],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 59/1920000],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 17/451584],
[[[1, 2], [2, 7], [4, 3], [6, 5]], 1/2985984],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 1/7962624],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 1/196608],
[[[1, 2], [2, 7], [4, 4], [10, 2]], 1/491520],
[[[1, 2], [2, 7], [5, 1], [6, 6]], 1/1049760],
[[[1, 2], [2, 7], [5, 1], [10, 3]], 4357/115200000],
[[[1, 2], [2, 7], [5, 1], [14, 2]], 1/70560],
[[[1, 2], [2, 7], [5, 2], [10, 2]], 473/290304000],
[[[1, 2], [2, 7], [5, 3], [10, 1]], 1/23040000],
[[[1, 2], [2, 7], [6, 2], [10, 3]], 1/6750],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 449/2709504],
[[[1, 2], [2, 7], [6, 2], [18, 2]], 67/1492992],
[[[1, 2], [2, 7], [6, 4], [10, 2]], 593/9331200],
[[[1, 2], [2, 7], [6, 5], [7, 1]], 1/163296],
[[[1, 2], [2, 7], [6, 5], [9, 1]], 1/209952],
[[[1, 2], [2, 7], [6, 5], [14, 1]], 1/41472],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 59/1679616],
[[[1, 2], [2, 7], [6, 6], [8, 1]], 1/1679616],
[[[1, 2], [2, 7], [6, 6], [10, 1]], 83/16796160],
[[[1, 2], [2, 7], [6, 6], [12, 1]], 1/559872],
[[[1, 2], [2, 7], [8, 1], [10, 3]], 11/960000],
[[[1, 2], [2, 7], [8, 1], [14, 2]], 1/16128],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 1/3920],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 8737/604661760],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/8640000],
[[[1, 2], [2, 9], [3, 1], [14, 2]], 1/1016064],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 14789/1128701952],
[[[1, 2], [2, 9], [3, 3], [6, 4]], 1153/604661760],
[[[1, 2], [2, 9], [3, 3], [10, 2]], 113/5225472000],
[[[1, 2], [2, 9], [3, 4], [6, 3]], 1031/5643509760],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 451/67184640],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 997/46080000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 137/6773760],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 823/179159040],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 25/23887872],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 1/1474560],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 29/18432000],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 1/2654208],
[[[1, 2], [2, 9], [4, 4], [14, 1]], 1/2064384],
[[[1, 2], [2, 9], [5, 1], [6, 5]], 1/1399680],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 113/1728000],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 199/6773760],
[[[1, 2], [2, 9], [6, 1], [18, 2]], 1/933120],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 347/3732480],
[[[1, 2], [2, 9], [6, 4], [7, 1]], 19/6531840],
[[[1, 2], [2, 9], [6, 4], [9, 1]], 19/8398080],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 61/1866240],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 383/16796160],
[[[1, 2], [2, 9], [6, 5], [8, 1]], 7/2239488],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 59/2239488],
[[[1, 2], [2, 9], [6, 5], [12, 1]], 29/4478976],
[[[1, 2], [2, 9], [7, 1], [10, 2]], 113/56448000],
[[[1, 2], [2, 9], [9, 1], [10, 2]], 113/72576000],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 1111/16128000],
[[[1, 2], [2, 9], [10, 2], [18, 1]], 53/5184000],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 2299/470292480],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 3227/2015539200],
[[[1, 2], [2, 11], [3, 2], [10, 2]], 253/13063680000],
[[[1, 2], [2, 11], [3, 3], [6, 3]], 797/8465264640],
[[[1, 2], [2, 11], [3, 3], [14, 1]], 1/4115059200],
[[[1, 2], [2, 11], [3, 4], [6, 2]], 31/84652646400],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 2011/501645312],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 31933/15049359360],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 11/412876800],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 61013/46448640000],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 1/1720320],
[[[1, 2], [2, 11], [4, 3], [14, 1]], 1/4423680],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 19/106168320],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 1/35389440],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 1/17694720],
[[[1, 2], [2, 11], [5, 1], [6, 4]], 121/783820800],
[[[1, 2], [2, 11], [5, 1], [10, 2]], 8357/87091200000],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 31663/1492992000],
[[[1, 2], [2, 11], [6, 3], [7, 1]], 11/36578304],
[[[1, 2], [2, 11], [6, 3], [9, 1]], 11/47029248],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 16343/2194698240],
[[[1, 2], [2, 11], [6, 3], [18, 1]], 641/209018880],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 1717/1254113280],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 42359/3135283200],
[[[1, 2], [2, 11], [6, 4], [12, 1]], 241/156764160],
[[[1, 2], [2, 11], [7, 1], [14, 1]], 1/44452800],
[[[1, 2], [2, 11], [8, 1], [10, 2]], 2669/2903040000],
[[[1, 2], [2, 11], [9, 1], [14, 1]], 1/57153600],
[[[1, 2], [2, 11], [14, 1], [18, 1]], 17/60963840],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 7729/16930529280],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 253/52254720000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 8149/169305292800],
[[[1, 2], [2, 13], [3, 2], [14, 1]], 1/10973491200],
[[[1, 2], [2, 13], [3, 3], [6, 2]], 131/169305292800],
[[[1, 2], [2, 13], [3, 3], [10, 1]], 11/564350976000],
[[[1, 2], [2, 13], [3, 4], [6, 1]], 1/677221171200],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 99761/150493593600],
[[[1, 2], [2, 13], [4, 1], [8, 2]], 1/1857945600],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 26599/69672960000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 75797/300987187200],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 443/13005619200],
[[[1, 2], [2, 13], [4, 2], [18, 1]], 1/278691840],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 241/4180377600],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 139/44590694400],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 17/774144000],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 17/2229534720],
[[[1, 2], [2, 13], [5, 1], [6, 3]], 13/1679616000],
[[[1, 2], [2, 13], [5, 1], [14, 1]], 1/3048192000],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 23111/20901888000],
[[[1, 2], [2, 13], [6, 2], [7, 1]], 13/1463132160],
[[[1, 2], [2, 13], [6, 2], [9, 1]], 13/1881169920],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 4049/9754214400],
[[[1, 2], [2, 13], [6, 2], [18, 1]], 2383/18811699200],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 1283/9405849600],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 8303/4702924800],
[[[1, 2], [2, 13], [6, 3], [12, 1]], 209/2508226560],
[[[1, 2], [2, 13], [7, 1], [10, 1]], 11/6096384000],
[[[1, 2], [2, 13], [8, 1], [14, 1]], 1/99532800],
[[[1, 2], [2, 13], [9, 1], [10, 1]], 11/7838208000],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 1301/8128512000],
[[[1, 2], [2, 13], [10, 1], [18, 1]], 73/2612736000],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 1260167/94810963968000],
[[[1, 2], [2, 15], [3, 1], [14, 1]], 1/43893964800],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 4633/12641461862400],
[[[1, 2], [2, 15], [3, 2], [10, 1]], 1/156764160000],
[[[1, 2], [2, 15], [3, 3], [4, 1]], 1/13544423424000],
[[[1, 2], [2, 15], [3, 3], [6, 1]], 11/11851370496000],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 4927/131681894400],
[[[1, 2], [2, 15], [4, 1], [7, 1]], 1/146313216000],
[[[1, 2], [2, 15], [4, 1], [9, 1]], 1/188116992000],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 37/23410114560],
[[[1, 2], [2, 15], [4, 1], [18, 1]], 1/3135283200],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 3461/351151718400],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 157/668860416000],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 1417/418037760000],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 19/13377208320],
[[[1, 2], [2, 15], [5, 1], [6, 2]], 31/219469824000],
[[[1, 2], [2, 15], [5, 1], [10, 1]], 13/541900800000],
[[[1, 2], [2, 15], [6, 1], [7, 1]], 11/128024064000],
[[[1, 2], [2, 15], [6, 1], [9, 1]], 11/164602368000],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 697/117050572800],
[[[1, 2], [2, 15], [6, 1], [18, 1]], 263/150493593600],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 349/87787929600],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 18121/250822656000],
[[[1, 2], [2, 15], [6, 2], [12, 1]], 1/783820800],
[[[1, 2], [2, 15], [8, 1], [10, 1]], 1/1244160000],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 1/501645312000],
[[[1, 2], [2, 17], [3, 1], [5, 1]], 1/8778792960000],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 5129/42138206208000],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 1/627056640000],
[[[1, 2], [2, 17], [3, 1], [12, 1]], 1/7023034368000],
[[[1, 2], [2, 17], [3, 2], [6, 1]], 283/252829237248000],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 1133/1404606873600],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 23/3009871872000],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 3383/17557585920000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 281/2106910310400],
[[[1, 2], [2, 17], [5, 1], [6, 1]], 1/1097349120000],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 67/1755758592000],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 101/109734912000],
[[[1, 2], [2, 17], [6, 1], [12, 1]], 73/14046068736000],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 13/180592312320000],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 179/541776936960000],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 1291/210691031040000],
[[[1, 3], [2, 2], [3, 2], [10, 4]], 1/1080000],
[[[1, 3], [2, 2], [4, 2], [5, 4]], 1/1280000],
[[[1, 3], [2, 2], [4, 2], [10, 4]], 1/3840000],
[[[1, 3], [2, 2], [5, 1], [10, 4]], 1/300000],
[[[1, 3], [2, 2], [5, 2], [10, 3]], 7/20000],
[[[1, 3], [2, 2], [5, 3], [10, 2]], 1/12000],
[[[1, 3], [2, 2], [5, 4], [6, 2]], 1/360000],
[[[1, 3], [2, 2], [5, 4], [8, 1]], 1/160000],
[[[1, 3], [2, 2], [5, 4], [10, 1]], 11/100000],
[[[1, 3], [2, 4], [3, 1], [10, 4]], 1/480000],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 1/93312],
[[[1, 3], [2, 4], [3, 3], [10, 3]], 1/2592000],
[[[1, 3], [2, 4], [3, 3], [14, 2]], 1/508032],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 1/839808],
[[[1, 3], [2, 4], [4, 1], [5, 4]], 1/1920000],
[[[1, 3], [2, 4], [4, 1], [10, 4]], 7/1920000],
[[[1, 3], [2, 4], [4, 3], [5, 3]], 1/768000],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 3/8192],
[[[1, 3], [2, 4], [4, 3], [10, 3]], 1/256000],
[[[1, 3], [2, 4], [5, 4], [6, 1]], 1/1440000],
[[[1, 3], [2, 4], [6, 1], [10, 4]], 1/1440000],
[[[1, 3], [2, 4], [6, 3], [14, 2]], 1/254016],
[[[1, 3], [2, 4], [6, 3], [18, 2]], 1/46656],
[[[1, 3], [2, 4], [7, 1], [10, 3]], 1/28000],
[[[1, 3], [2, 4], [7, 1], [14, 2]], 1/5488],
[[[1, 3], [2, 4], [9, 1], [10, 3]], 1/36000],
[[[1, 3], [2, 4], [9, 1], [14, 2]], 1/7056],
[[[1, 3], [2, 6], [3, 1], [6, 7]], 7/10077696],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 2245/45349632],
[[[1, 3], [2, 6], [3, 2], [7, 2]], 1/40642560],
[[[1, 3], [2, 6], [3, 2], [9, 2]], 1/7464960],
[[[1, 3], [2, 6], [3, 2], [10, 3]], 31/6480000],
[[[1, 3], [2, 6], [3, 2], [14, 2]], 19/762048],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 1463/15116544],
[[[1, 3], [2, 6], [3, 4], [6, 4]], 85/5038848],
[[[1, 3], [2, 6], [3, 5], [6, 3]], 1/3359232],
[[[1, 3], [2, 6], [4, 1], [6, 7]], 1/13436928],
[[[1, 3], [2, 6], [4, 2], [6, 6]], 37/10077696],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 1/8192],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 151/1440000],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 167/1354752],
[[[1, 3], [2, 6], [4, 3], [6, 5]], 5/1990656],
[[[1, 3], [2, 6], [4, 4], [5, 2]], 1/2457600],
[[[1, 3], [2, 6], [4, 4], [6, 4]], 1/2654208],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 17/196608],
[[[1, 3], [2, 6], [4, 4], [10, 2]], 1/153600],
[[[1, 3], [2, 6], [5, 1], [6, 6]], 1/3149280],
[[[1, 3], [2, 6], [5, 1], [10, 3]], 16459/115200000],
[[[1, 3], [2, 6], [5, 1], [14, 2]], 19/211680],
[[[1, 3], [2, 6], [5, 2], [10, 2]], 439/7680000],
[[[1, 3], [2, 6], [5, 3], [10, 1]], 1/1536000],
[[[1, 3], [2, 6], [6, 2], [10, 3]], 1/12000],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 367/2709504],
[[[1, 3], [2, 6], [6, 2], [18, 2]], 77/1492992],
[[[1, 3], [2, 6], [6, 4], [10, 2]], 173/9331200],
[[[1, 3], [2, 6], [6, 5], [7, 1]], 1/326592],
[[[1, 3], [2, 6], [6, 5], [9, 1]], 1/419904],
[[[1, 3], [2, 6], [6, 5], [14, 1]], 7/1119744],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 23/1679616],
[[[1, 3], [2, 6], [6, 6], [10, 1]], 1/5598720],
[[[1, 3], [2, 6], [8, 1], [10, 3]], 1/38400],
[[[1, 3], [2, 6], [8, 1], [14, 2]], 5/37632],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 1/3920],
[[[1, 3], [2, 8], [3, 1], [5, 3]], 1/4354560000],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 2377/80621568],
[[[1, 3], [2, 8], [3, 1], [7, 2]], 1/853493760],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 13/8640000],
[[[1, 3], [2, 8], [3, 1], [14, 2]], 1/112896],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 28307/302330880],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 15223/483729408],
[[[1, 3], [2, 8], [3, 3], [10, 2]], 53/373248000],
[[[1, 3], [2, 8], [3, 4], [6, 3]], 149/67184640],
[[[1, 3], [2, 8], [3, 5], [6, 2]], 1/53747712],
[[[1, 3], [2, 8], [4, 1], [5, 3]], 1/2903040000],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 455/40310784],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 3743/46080000],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 65/677376],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 2375/107495424],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 13/1327104],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 1/46080],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 853/36864000],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 1/497664],
[[[1, 3], [2, 8], [4, 4], [14, 1]], 1/294912],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 1/3538944],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 1/393216],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 1/983040],
[[[1, 3], [2, 8], [5, 1], [6, 5]], 19/4199040],
[[[1, 3], [2, 8], [5, 2], [7, 1]], 1/2032128000],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 109/960000],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 109/1354752],
[[[1, 3], [2, 8], [6, 1], [18, 2]], 1/186624],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 4567/37324800],
[[[1, 3], [2, 8], [6, 4], [7, 1]], 29/2612736],
[[[1, 3], [2, 8], [6, 4], [9, 1]], 29/3359232],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 767/15676416],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 287/6718464],
[[[1, 3], [2, 8], [6, 5], [8, 1]], 1/248832],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 13/559872],
[[[1, 3], [2, 8], [6, 5], [12, 1]], 13/2239488],
[[[1, 3], [2, 8], [7, 1], [10, 2]], 53/4032000],
[[[1, 3], [2, 8], [9, 1], [10, 2]], 53/5184000],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 209/1382400],
[[[1, 3], [2, 8], [10, 2], [18, 1]], 1/41472],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 2711/104509440],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 92423/4232632320],
[[[1, 3], [2, 10], [3, 2], [10, 2]], 3877/9797760000],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 5197/2116316160],
[[[1, 3], [2, 10], [3, 3], [14, 1]], 17/4389396480],
[[[1, 3], [2, 10], [3, 4], [6, 2]], 19/1881169920],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 4789/268738560],
[[[1, 3], [2, 10], [4, 2], [5, 2]], 1/9289728000],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 41813/2149908480],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 1429/1238630400],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 146323/8709120000],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 811/111476736],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 13/4423680],
[[[1, 3], [2, 10], [4, 3], [18, 1]], 1/3317760],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 91/53084160],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 5/7077888],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 13/14745600],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 1/3538944],
[[[1, 3], [2, 10], [5, 1], [6, 4]], 4909/2351462400],
[[[1, 3], [2, 10], [5, 1], [10, 2]], 81307/43545600000],
[[[1, 3], [2, 10], [5, 2], [10, 1]], 13/5806080000],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 241033/3483648000],
[[[1, 3], [2, 10], [6, 3], [7, 1]], 241/91445760],
[[[1, 3], [2, 10], [6, 3], [9, 1]], 241/117573120],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 124319/4389396480],
[[[1, 3], [2, 10], [6, 3], [18, 1]], 24779/1881169920],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 61/9953280],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 4163/111974400],
[[[1, 3], [2, 10], [6, 4], [12, 1]], 119/22394880],
[[[1, 3], [2, 10], [7, 1], [14, 1]], 17/47416320],
[[[1, 3], [2, 10], [8, 1], [10, 2]], 19/2867200],
[[[1, 3], [2, 10], [9, 1], [14, 1]], 17/60963840],
[[[1, 3], [2, 10], [14, 1], [18, 1]], 1/544320],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 65801/14108774400],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 487/4354560000],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 580729/507915878400],
[[[1, 3], [2, 12], [3, 2], [14, 1]], 29/6584094720],
[[[1, 3], [2, 12], [3, 3], [4, 2]], 1/20065812480],
[[[1, 3], [2, 12], [3, 3], [6, 2]], 487/24186470400],
[[[1, 3], [2, 12], [3, 3], [10, 1]], 73/188116992000],
[[[1, 3], [2, 12], [3, 4], [6, 1]], 17/225740390400],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 21263/3762339840],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 47/1857945600],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 556037/139345920000],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 1801291/451480780800],
[[[1, 3], [2, 12], [4, 2], [7, 1]], 1/216760320],
[[[1, 3], [2, 12], [4, 2], [9, 1]], 1/278691840],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 88261/117050572800],
[[[1, 3], [2, 12], [4, 2], [18, 1]], 233/2090188800],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 23707/22295347200],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 521/3715891200],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 299/688128000],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 41/247726080],
[[[1, 3], [2, 12], [5, 1], [6, 3]], 1879/8817984000],
[[[1, 3], [2, 12], [5, 1], [14, 1]], 29/1828915200],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 180829/26127360000],
[[[1, 3], [2, 12], [6, 2], [7, 1]], 209/1463132160],
[[[1, 3], [2, 12], [6, 2], [9, 1]], 209/1881169920],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 33793/10973491200],
[[[1, 3], [2, 12], [6, 2], [18, 1]], 9341/9405849600],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 179/139345920],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 121741/12541132800],
[[[1, 3], [2, 12], [6, 3], [12, 1]], 509/836075520],
[[[1, 3], [2, 12], [7, 1], [10, 1]], 73/2032128000],
[[[1, 3], [2, 12], [8, 1], [14, 1]], 271/1625702400],
[[[1, 3], [2, 12], [9, 1], [10, 1]], 73/2612736000],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 71/50803200],
[[[1, 3], [2, 12], [10, 1], [18, 1]], 1/3870720],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 1/743178240],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 30181/128994508800],
[[[1, 3], [2, 14], [3, 1], [14, 1]], 17/14631321600],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 463609/37924385587200],
[[[1, 3], [2, 14], [3, 2], [10, 1]], 83/235146240000],
[[[1, 3], [2, 14], [3, 3], [4, 1]], 1/225740390400],
[[[1, 3], [2, 14], [3, 3], [6, 1]], 17/338610585600],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 120067/225740390400],
[[[1, 3], [2, 14], [4, 1], [7, 1]], 1/2438553600],
[[[1, 3], [2, 14], [4, 1], [9, 1]], 1/3135283200],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 4019/117050572800],
[[[1, 3], [2, 14], [4, 1], [18, 1]], 1/139345920],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 1017161/4213820620800],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 1231/133772083200],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 80273/836075520000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 59/1486356480],
[[[1, 3], [2, 14], [5, 1], [6, 2]], 2063/329204736000],
[[[1, 3], [2, 14], [5, 1], [10, 1]], 1829/1393459200000],
[[[1, 3], [2, 14], [6, 1], [7, 1]], 1/457228800],
[[[1, 3], [2, 14], [6, 1], [9, 1]], 1/587865600],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 13501/175575859200],
[[[1, 3], [2, 14], [6, 1], [18, 1]], 241/10749542400],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 37/557383680],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 169559/250822656000],
[[[1, 3], [2, 14], [6, 2], [12, 1]], 101/6270566400],
[[[1, 3], [2, 14], [8, 1], [10, 1]], 23/1393459200],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 61/501645312000],
[[[1, 3], [2, 16], [3, 1], [5, 1]], 73/17557585920000],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 4639/1337720832000],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 29/313528320000],
[[[1, 3], [2, 16], [3, 1], [12, 1]], 73/14046068736000],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 1/752467968000],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 3797/94810963968000],
[[[1, 3], [2, 16], [4, 1], [5, 1]], 1/209018880000],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 729301/42138206208000],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 599/2080899072000],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 7999/1672151040000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 199/42138206208],
[[[1, 3], [2, 16], [5, 1], [6, 1]], 199/3292047360000],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 97/97542144000],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 33989/2508226560000],
[[[1, 3], [2, 16], [6, 1], [12, 1]], 1/10032906240],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 253/84276412416000],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 1499/101131694899200],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 1787/9364045824000],
[[[1, 3], [3, 1], [5, 2], [7, 2]], 1/14700],
[[[1, 3], [3, 1], [5, 2], [9, 2]], 1/8100],
[[[1, 3], [3, 1], [5, 3], [10, 2]], 1/6000],
[[[1, 3], [3, 1], [5, 4], [6, 2]], 1/720000],
[[[1, 3], [3, 1], [5, 4], [12, 1]], 1/120000],
[[[1, 3], [3, 2], [5, 3], [7, 1]], 1/31500],
[[[1, 3], [3, 2], [5, 3], [9, 1]], 1/13500],
[[[1, 3], [3, 2], [7, 1], [9, 2]], 5/6804],
[[[1, 3], [3, 2], [7, 2], [9, 1]], 1/2268],
[[[1, 3], [3, 3], [5, 1], [7, 2]], 1/26460],
[[[1, 3], [3, 3], [5, 1], [9, 2]], 1/4860],
[[[1, 3], [3, 3], [5, 2], [10, 2]], 1/259200],
[[[1, 3], [3, 3], [6, 2], [7, 2]], 1/127008],
[[[1, 3], [3, 3], [6, 2], [9, 2]], 1/23328],
[[[1, 3], [3, 3], [7, 2], [12, 1]], 1/21168],
[[[1, 3], [3, 3], [9, 2], [12, 1]], 1/3888],
[[[1, 3], [3, 4], [5, 2], [7, 1]], 1/1360800],
[[[1, 3], [3, 4], [5, 2], [9, 1]], 1/583200],
[[[1, 3], [3, 5], [7, 1], [9, 1]], 1/244944],
[[[1, 3], [4, 1], [5, 4], [8, 1]], 1/160000],
[[[1, 3], [5, 2], [7, 1], [10, 2]], 1/2800],
[[[1, 3], [5, 2], [9, 1], [10, 2]], 1/3600],
[[[1, 4], [2, 1], [3, 1], [7, 3]], 1/4116],
[[[1, 4], [2, 1], [3, 2], [5, 4]], 1/40000],
[[[1, 4], [2, 1], [3, 4], [5, 3]], 1/1944000],
[[[1, 4], [2, 1], [3, 4], [7, 2]], 1/54432],
[[[1, 4], [2, 1], [3, 4], [9, 2]], 1/11664],
[[[1, 4], [2, 1], [4, 2], [5, 4]], 1/1280000],
[[[1, 4], [2, 1], [5, 2], [7, 2]], 1/9800],
[[[1, 4], [2, 1], [5, 2], [10, 3]], 1/30000],
[[[1, 4], [2, 1], [5, 3], [10, 2]], 1/4000],
[[[1, 4], [2, 1], [5, 4], [8, 1]], 1/160000],
[[[1, 4], [2, 1], [5, 4], [10, 1]], 1/30000],
[[[1, 4], [2, 3], [3, 1], [5, 4]], 1/1440000],
[[[1, 4], [2, 3], [3, 1], [10, 4]], 1/1440000],
[[[1, 4], [2, 3], [3, 3], [7, 2]], 1/254016],
[[[1, 4], [2, 3], [3, 3], [9, 2]], 1/46656],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 1/839808],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 1/93312],
[[[1, 4], [2, 3], [4, 1], [5, 4]], 7/1920000],
[[[1, 4], [2, 3], [4, 1], [10, 4]], 1/1920000],
[[[1, 4], [2, 3], [4, 3], [5, 3]], 1/256000],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 3/8192],
[[[1, 4], [2, 3], [4, 3], [10, 3]], 1/768000],
[[[1, 4], [2, 3], [5, 3], [6, 3]], 1/2592000],
[[[1, 4], [2, 3], [5, 3], [14, 1]], 1/28000],
[[[1, 4], [2, 3], [5, 3], [18, 1]], 1/36000],
[[[1, 4], [2, 3], [5, 4], [6, 1]], 1/480000],
[[[1, 4], [2, 3], [6, 3], [7, 2]], 1/508032],
[[[1, 4], [2, 3], [7, 2], [14, 1]], 1/5488],
[[[1, 4], [2, 3], [7, 2], [18, 1]], 1/7056],
[[[1, 4], [2, 5], [3, 2], [6, 6]], 5/1119744],
[[[1, 4], [2, 5], [3, 2], [7, 2]], 1/2709504],
[[[1, 4], [2, 5], [3, 2], [9, 2]], 1/497664],
[[[1, 4], [2, 5], [3, 2], [10, 3]], 11/1296000],
[[[1, 4], [2, 5], [3, 2], [14, 2]], 11/254016],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 1051/10077696],
[[[1, 4], [2, 5], [3, 4], [4, 4]], 1/7962624],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 373/10077696],
[[[1, 4], [2, 5], [3, 5], [6, 3]], 11/1119744],
[[[1, 4], [2, 5], [4, 2], [5, 3]], 1/307200],
[[[1, 4], [2, 5], [4, 2], [7, 2]], 1/301056],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 3/8192],
[[[1, 4], [2, 5], [4, 2], [10, 3]], 167/4608000],
[[[1, 4], [2, 5], [4, 2], [14, 2]], 83/903168],
[[[1, 4], [2, 5], [4, 3], [6, 5]], 41/17915904],
[[[1, 4], [2, 5], [4, 4], [5, 2]], 1/307200],
[[[1, 4], [2, 5], [4, 4], [6, 4]], 1/2654208],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 23/98304],
[[[1, 4], [2, 5], [4, 4], [10, 2]], 3/409600],
[[[1, 4], [2, 5], [5, 1], [10, 3]], 3649/23040000],
[[[1, 4], [2, 5], [5, 1], [14, 2]], 11/70560],
[[[1, 4], [2, 5], [5, 2], [10, 2]], 713/2880000],
[[[1, 4], [2, 5], [5, 3], [6, 2]], 1/432000],
[[[1, 4], [2, 5], [5, 3], [10, 1]], 257/23040000],
[[[1, 4], [2, 5], [6, 2], [7, 2]], 1/84672],
[[[1, 4], [2, 5], [6, 2], [10, 3]], 1/432000],
[[[1, 4], [2, 5], [6, 2], [14, 2]], 109/8128512],
[[[1, 4], [2, 5], [6, 2], [18, 2]], 13/1492992],
[[[1, 4], [2, 5], [7, 2], [10, 1]], 1/23520],
[[[1, 4], [2, 5], [8, 1], [10, 3]], 1/64000],
[[[1, 4], [2, 5], [8, 1], [14, 2]], 1/12544],
[[[1, 4], [2, 7], [3, 1], [5, 3]], 1/68040000],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 1511/120932352],
[[[1, 4], [2, 7], [3, 1], [7, 2]], 19/256048128],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 23/4320000],
[[[1, 4], [2, 7], [3, 1], [14, 2]], 1/36288],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 1/3538944],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 3071/20155392],
[[[1, 4], [2, 7], [3, 3], [5, 2]], 1/23514624000],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 11165/60466176],
[[[1, 4], [2, 7], [3, 3], [10, 2]], 1/2985984],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 4051/268738560],
[[[1, 4], [2, 7], [3, 4], [7, 1]], 1/9876142080],
[[[1, 4], [2, 7], [3, 4], [9, 1]], 1/4232632320],
[[[1, 4], [2, 7], [3, 5], [6, 2]], 1/4478976],
[[[1, 4], [2, 7], [4, 1], [5, 3]], 1/46080000],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 13/4478976],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 1483/15360000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 113/677376],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 295/11943936],
[[[1, 4], [2, 7], [4, 3], [5, 2]], 7/7372800],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 1033/35831808],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 79/368640],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 2527/27648000],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 5/589824],
[[[1, 4], [2, 7], [4, 4], [7, 1]], 1/688128],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 3/114688],
[[[1, 4], [2, 7], [4, 4], [18, 1]], 1/73728],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 1/983040],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 1/884736],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 1/49152],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 1/245760],
[[[1, 4], [2, 7], [5, 1], [6, 5]], 1/279936],
[[[1, 4], [2, 7], [5, 2], [7, 1]], 19/609638400],
[[[1, 4], [2, 7], [5, 3], [6, 1]], 1/8640000],
[[[1, 4], [2, 7], [6, 1], [7, 2]], 1/1693440],
[[[1, 4], [2, 7], [6, 1], [10, 3]], 157/2304000],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 5/63504],
[[[1, 4], [2, 7], [6, 1], [18, 2]], 1/124416],
[[[1, 4], [2, 7], [6, 3], [10, 2]], 305/5971968],
[[[1, 4], [2, 7], [6, 4], [7, 1]], 13/1306368],
[[[1, 4], [2, 7], [6, 4], [9, 1]], 13/1679616],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 191/8957952],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 713/26873856],
[[[1, 4], [2, 7], [6, 5], [8, 1]], 1/746496],
[[[1, 4], [2, 7], [6, 5], [10, 1]], 113/22394880],
[[[1, 4], [2, 7], [6, 5], [12, 1]], 1/995328],
[[[1, 4], [2, 7], [7, 1], [10, 2]], 1/32256],
[[[1, 4], [2, 7], [9, 1], [10, 2]], 1/41472],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 281/2419200],
[[[1, 4], [2, 7], [10, 2], [18, 1]], 13/691200],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 20741/403107840],
[[[1, 4], [2, 9], [3, 2], [5, 2]], 1/4180377600],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 74821/705438720],
[[[1, 4], [2, 9], [3, 2], [10, 2]], 2339/870912000],
[[[1, 4], [2, 9], [3, 3], [4, 3]], 1/238878720],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 13673/529079040],
[[[1, 4], [2, 9], [3, 3], [7, 1]], 1/8778792960],
[[[1, 4], [2, 9], [3, 3], [9, 1]], 1/3762339840],
[[[1, 4], [2, 9], [3, 3], [14, 1]], 1/39191040],
[[[1, 4], [2, 9], [3, 4], [4, 2]], 1/30098718720],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 89/209018880],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 1/34992],
[[[1, 4], [2, 9], [4, 2], [5, 2]], 17/2322432000],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 137/2211840],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 5711/371589120],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 119879/1548288000],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 5261/125411328],
[[[1, 4], [2, 9], [4, 3], [7, 1]], 1/2580480],
[[[1, 4], [2, 9], [4, 3], [9, 1]], 1/3317760],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 2041/92897280],
[[[1, 4], [2, 9], [4, 3], [18, 1]], 1/207360],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 143/11796480],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 17/1474560],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 101/9830400],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 7/3538944],
[[[1, 4], [2, 9], [5, 1], [6, 4]], 473/55987200],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 12821/967680000],
[[[1, 4], [2, 9], [5, 2], [10, 1]], 227/1935360000],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 24197/248832000],
[[[1, 4], [2, 9], [6, 3], [7, 1]], 17/1866240],
[[[1, 4], [2, 9], [6, 3], [9, 1]], 119/16796160],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 28639/627056640],
[[[1, 4], [2, 9], [6, 3], [18, 1]], 1099/44789760],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 55/5971968],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 3577/89579520],
[[[1, 4], [2, 9], [6, 4], [12, 1]], 19/2985984],
[[[1, 4], [2, 9], [7, 1], [14, 1]], 1/423360],
[[[1, 4], [2, 9], [8, 1], [10, 2]], 89/4608000],
[[[1, 4], [2, 9], [9, 1], [14, 1]], 1/544320],
[[[1, 4], [2, 9], [14, 1], [18, 1]], 1/193536],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 1/8847360],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 11933/564350976],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 24449/26127360000],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 1/13377208320],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 619961/56435097600],
[[[1, 4], [2, 11], [3, 2], [14, 1]], 781/10973491200],
[[[1, 4], [2, 11], [3, 3], [4, 2]], 233/150493593600],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 6019/16124313600],
[[[1, 4], [2, 11], [3, 3], [10, 1]], 1/278691840],
[[[1, 4], [2, 11], [3, 4], [6, 1]], 43/32248627200],
[[[1, 4], [2, 11], [4, 1], [5, 2]], 1/27869184000],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 53471/2508226560],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 103/265420800],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 48161/2488320000],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 170621/6688604160],
[[[1, 4], [2, 11], [4, 2], [7, 1]], 89/619315200],
[[[1, 4], [2, 11], [4, 2], [9, 1]], 233/2090188800],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 132443/19508428800],
[[[1, 4], [2, 11], [4, 2], [18, 1]], 113/92897280],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 1/3715891200],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 135001/12541132800],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 667/278691840],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 35501/6967296000],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 1427/743178240],
[[[1, 4], [2, 11], [5, 1], [6, 3]], 1501/783820800],
[[[1, 4], [2, 11], [5, 1], [14, 1]], 781/3048192000],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 75473/3483648000],
[[[1, 4], [2, 11], [6, 2], [7, 1]], 509/487710720],
[[[1, 4], [2, 11], [6, 2], [9, 1]], 509/627056640],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 33317/2926264320],
[[[1, 4], [2, 11], [6, 2], [18, 1]], 1207/313528320],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 179/34836480],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 4355/167215104],
[[[1, 4], [2, 11], [6, 3], [12, 1]], 83/39813120],
[[[1, 4], [2, 11], [7, 1], [10, 1]], 1/3010560],
[[[1, 4], [2, 11], [8, 1], [14, 1]], 43/36126720],
[[[1, 4], [2, 11], [9, 1], [10, 1]], 1/3870720],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 709/116121600],
[[[1, 4], [2, 11], [10, 1], [18, 1]], 29/24883200],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 481/11147673600],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 5321347/2708884684800],
[[[1, 4], [2, 13], [3, 1], [14, 1]], 13/627056640],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 1/1114767360],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 48007/225740390400],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 167/23514624000],
[[[1, 4], [2, 13], [3, 3], [4, 1]], 1/10032906240],
[[[1, 4], [2, 13], [3, 3], [6, 1]], 563/338610585600],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 22973/6270566400],
[[[1, 4], [2, 13], [4, 1], [7, 1]], 1/108380160],
[[[1, 4], [2, 13], [4, 1], [9, 1]], 1/139345920],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 42151/117050572800],
[[[1, 4], [2, 13], [4, 1], [18, 1]], 61/783820800],
[[[1, 4], [2, 13], [4, 2], [5, 1]], 1/309657600],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 353417/133772083200],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 3851/22295347200],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 389321/334430208000],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 128479/200658124800],
[[[1, 4], [2, 13], [5, 1], [6, 2]], 1/9797760],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 14729/557383680000],
[[[1, 4], [2, 13], [6, 1], [7, 1]], 101/3657830400],
[[[1, 4], [2, 13], [6, 1], [9, 1]], 101/4702924800],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 375661/702303436800],
[[[1, 4], [2, 13], [6, 1], [18, 1]], 6619/42998169600],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 31/59719680],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 427487/125411328000],
[[[1, 4], [2, 13], [6, 2], [12, 1]], 1/9289728],
[[[1, 4], [2, 13], [8, 1], [10, 1]], 187/1161216000],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 29/9555148800],
[[[1, 4], [2, 15], [3, 1], [5, 1]], 1/12541132800],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 311051/6320730931200],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 1261/627056640000],
[[[1, 4], [2, 15], [3, 1], [12, 1]], 1/10032906240],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 181/2257403904000],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 122819/126414618624000],
[[[1, 4], [2, 15], [4, 1], [5, 1]], 181/627056640000],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 268717/1404606873600],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 379/66886041600],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 5599/92897280000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 13757/173408256000],
[[[1, 4], [2, 15], [5, 1], [6, 1]], 851/548674560000],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 109/8360755200],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 113801/1003290624000],
[[[1, 4], [2, 15], [6, 1], [12, 1]], 73/66886041600],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 229/3121348608000],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 8479/25282923724800],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 88819/28092137472000],
[[[1, 5], [2, 2], [3, 1], [5, 4]], 1/19200],
[[[1, 5], [2, 2], [3, 1], [10, 4]], 1/21600000],
[[[1, 5], [2, 2], [3, 3], [5, 3]], 17/518400],
[[[1, 5], [2, 2], [3, 3], [7, 2]], 43/508032],
[[[1, 5], [2, 2], [3, 3], [9, 2]], 5/46656],
[[[1, 5], [2, 2], [3, 5], [5, 2]], 1/1866240],
[[[1, 5], [2, 2], [3, 5], [6, 4]], 83/7558272],
[[[1, 5], [2, 2], [3, 6], [7, 1]], 1/3919104],
[[[1, 5], [2, 2], [3, 6], [9, 1]], 1/1679616],
[[[1, 5], [2, 2], [3, 7], [4, 2]], 1/13436928],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 1/279936],
[[[1, 5], [2, 2], [4, 1], [5, 4]], 103/1920000],
[[[1, 5], [2, 2], [4, 3], [5, 3]], 1/256000],
[[[1, 5], [2, 2], [4, 3], [8, 3]], 1/8192],
[[[1, 5], [2, 2], [5, 3], [6, 3]], 1/3888000],
[[[1, 5], [2, 2], [5, 3], [7, 1]], 3/28000],
[[[1, 5], [2, 2], [5, 3], [9, 1]], 1/36000],
[[[1, 5], [2, 2], [5, 3], [14, 1]], 1/42000],
[[[1, 5], [2, 2], [5, 3], [18, 1]], 1/54000],
[[[1, 5], [2, 2], [5, 4], [6, 1]], 1/1440000],
[[[1, 5], [2, 2], [6, 3], [7, 2]], 1/762048],
[[[1, 5], [2, 2], [7, 2], [9, 1]], 1/7056],
[[[1, 5], [2, 2], [7, 2], [14, 1]], 1/8232],
[[[1, 5], [2, 2], [7, 2], [18, 1]], 1/10584],
[[[1, 5], [2, 4], [3, 2], [5, 3]], 1/432000],
[[[1, 5], [2, 4], [3, 2], [7, 2]], 109/8128512],
[[[1, 5], [2, 4], [3, 2], [9, 2]], 13/1492992],
[[[1, 5], [2, 4], [3, 2], [10, 3]], 1/432000],
[[[1, 5], [2, 4], [3, 2], [14, 2]], 1/84672],
[[[1, 5], [2, 4], [3, 3], [6, 5]], 11/1119744],
[[[1, 5], [2, 4], [3, 4], [4, 4]], 1/2654208],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 373/10077696],
[[[1, 5], [2, 4], [3, 5], [4, 3]], 41/17915904],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 1051/10077696],
[[[1, 5], [2, 4], [3, 6], [6, 2]], 5/1119744],
[[[1, 5], [2, 4], [4, 2], [5, 3]], 167/4608000],
[[[1, 5], [2, 4], [4, 2], [7, 2]], 83/903168],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 3/8192],
[[[1, 5], [2, 4], [4, 2], [10, 3]], 1/307200],
[[[1, 5], [2, 4], [4, 2], [14, 2]], 1/301056],
[[[1, 5], [2, 4], [4, 4], [5, 2]], 3/409600],
[[[1, 5], [2, 4], [4, 4], [6, 4]], 1/7962624],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 23/98304],
[[[1, 5], [2, 4], [4, 4], [10, 2]], 1/307200],
[[[1, 5], [2, 4], [5, 1], [10, 3]], 257/23040000],
[[[1, 5], [2, 4], [5, 1], [14, 2]], 1/23520],
[[[1, 5], [2, 4], [5, 2], [10, 2]], 713/2880000],
[[[1, 5], [2, 4], [5, 3], [6, 2]], 11/1296000],
[[[1, 5], [2, 4], [5, 3], [8, 1]], 1/64000],
[[[1, 5], [2, 4], [5, 3], [10, 1]], 3649/23040000],
[[[1, 5], [2, 4], [6, 2], [7, 2]], 11/254016],
[[[1, 5], [2, 4], [6, 2], [14, 2]], 1/2709504],
[[[1, 5], [2, 4], [6, 2], [18, 2]], 1/497664],
[[[1, 5], [2, 4], [7, 2], [8, 1]], 1/12544],
[[[1, 5], [2, 4], [7, 2], [10, 1]], 11/70560],
[[[1, 5], [2, 6], [3, 1], [5, 3]], 1/4320000],
[[[1, 5], [2, 6], [3, 1], [6, 6]], 2057/7255941120],
[[[1, 5], [2, 6], [3, 1], [7, 2]], 23/20321280],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 413/64800000],
[[[1, 5], [2, 6], [3, 1], [14, 2]], 31/952560],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 1/884736],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 599/10077696],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 89/15925248],
[[[1, 5], [2, 6], [3, 3], [5, 2]], 1/373248000],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 1729/6718464],
[[[1, 5], [2, 6], [3, 3], [10, 2]], 13/49766400],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 1/2654208],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 133/1119744],
[[[1, 5], [2, 6], [3, 4], [7, 1]], 1/156764160],
[[[1, 5], [2, 6], [3, 4], [9, 1]], 1/67184640],
[[[1, 5], [2, 6], [3, 5], [6, 2]], 1639/806215680],
[[[1, 5], [2, 6], [4, 1], [5, 3]], 1/614400],
[[[1, 5], [2, 6], [4, 1], [7, 2]], 1/150528],
[[[1, 5], [2, 6], [4, 1], [10, 3]], 17/1024000],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 5/64512],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 11/3981312],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 1/81920],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 485/23887872],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 53/98304],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 199/2457600],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 11/884736],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 7/294912],
[[[1, 5], [2, 6], [4, 4], [9, 1]], 1/73728],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 47/1032192],
[[[1, 5], [2, 6], [4, 4], [18, 1]], 1/36864],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 1/245760],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 1/589824],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 19/393216],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 1/163840],
[[[1, 5], [2, 6], [5, 1], [6, 5]], 1/1399680],
[[[1, 5], [2, 6], [5, 2], [6, 3]], 1/248832000],
[[[1, 5], [2, 6], [5, 2], [7, 1]], 23/48384000],
[[[1, 5], [2, 6], [5, 2], [14, 1]], 1/2688000],
[[[1, 5], [2, 6], [5, 2], [18, 1]], 1/3456000],
[[[1, 5], [2, 6], [5, 3], [6, 1]], 47/25920000],
[[[1, 5], [2, 6], [6, 1], [7, 2]], 47/5080320],
[[[1, 5], [2, 6], [6, 1], [10, 3]], 53/17280000],
[[[1, 5], [2, 6], [6, 1], [14, 2]], 101/6773760],
[[[1, 5], [2, 6], [6, 1], [18, 2]], 1/622080],
[[[1, 5], [2, 6], [6, 3], [10, 2]], 611/248832000],
[[[1, 5], [2, 6], [6, 4], [7, 1]], 1/580608],
[[[1, 5], [2, 6], [6, 4], [9, 1]], 1/746496],
[[[1, 5], [2, 6], [6, 4], [14, 1]], 131/104509440],
[[[1, 5], [2, 6], [6, 4], [18, 1]], 131/44789760],
[[[1, 5], [2, 6], [7, 1], [10, 2]], 13/537600],
[[[1, 5], [2, 6], [9, 1], [10, 2]], 13/691200],
[[[1, 5], [2, 6], [10, 2], [14, 1]], 41/16128000],
[[[1, 5], [2, 6], [10, 2], [18, 1]], 1/3456000],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 7/1179648],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 21017/604661760],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 17/21233664],
[[[1, 5], [2, 8], [3, 2], [5, 2]], 13/836075520],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 75893/403107840],
[[[1, 5], [2, 8], [3, 2], [10, 2]], 107/15552000],
[[[1, 5], [2, 8], [3, 3], [4, 3]], 1/14929920],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 9779/80621568],
[[[1, 5], [2, 8], [3, 3], [7, 1]], 199/26336378880],
[[[1, 5], [2, 8], [3, 3], [9, 1]], 13/752467968],
[[[1, 5], [2, 8], [3, 3], [14, 1]], 1/13934592],
[[[1, 5], [2, 8], [3, 4], [4, 2]], 1/477757440],
[[[1, 5], [2, 8], [3, 4], [5, 1]], 1/14108774400],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 1237/268738560],
[[[1, 5], [2, 8], [3, 5], [4, 1]], 1/33861058560],
[[[1, 5], [2, 8], [3, 5], [6, 1]], 1/8465264640],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 2855/214990848],
[[[1, 5], [2, 8], [4, 2], [5, 2]], 61/147456000],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 803/11943936],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 113/1474560],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 103/768000],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 21421/238878720],
[[[1, 5], [2, 8], [4, 3], [7, 1]], 11/1146880],
[[[1, 5], [2, 8], [4, 3], [9, 1]], 1/207360],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 767/10321920],
[[[1, 5], [2, 8], [4, 3], [18, 1]], 5/221184],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 17/5898240],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 1121/26542080],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 283/3538944],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 1001/22118400],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 1/98304],
[[[1, 5], [2, 8], [5, 1], [6, 4]], 107/11197440],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 293/7680000],
[[[1, 5], [2, 8], [5, 2], [6, 2]], 1/41472000],
[[[1, 5], [2, 8], [5, 2], [10, 1]], 15899/8709120000],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 353/6912000],
[[[1, 5], [2, 8], [6, 3], [7, 1]], 19/1741824],
[[[1, 5], [2, 8], [6, 3], [9, 1]], 19/2239488],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 17/622080],
[[[1, 5], [2, 8], [6, 3], [18, 1]], 85/4478976],
[[[1, 5], [2, 8], [6, 4], [8, 1]], 61/11943936],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 3221/223948800],
[[[1, 5], [2, 8], [6, 4], [12, 1]], 31/14929920],
[[[1, 5], [2, 8], [7, 1], [14, 1]], 1/150528],
[[[1, 5], [2, 8], [8, 1], [10, 2]], 89/3686400],
[[[1, 5], [2, 8], [9, 1], [14, 1]], 1/193536],
[[[1, 5], [2, 8], [14, 1], [18, 1]], 1/181440],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 17/8847360],
[[[1, 5], [2, 10], [3, 1], [5, 2]], 1/2985984000],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 3685403/84652646400],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 345041/97977600000],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 67/836075520],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 269467/5643509760],
[[[1, 5], [2, 10], [3, 2], [7, 1]], 1/3511517184],
[[[1, 5], [2, 10], [3, 2], [9, 1]], 1/3762339840],
[[[1, 5], [2, 10], [3, 2], [14, 1]], 353/731566080],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 1031/60197437440],
[[[1, 5], [2, 10], [3, 3], [5, 1]], 1/12541132800],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 5087/1504935936],
[[[1, 5], [2, 10], [3, 3], [10, 1]], 29/1791590400],
[[[1, 5], [2, 10], [3, 4], [4, 1]], 1/30098718720],
[[[1, 5], [2, 10], [3, 4], [6, 1]], 479/45148078080],
[[[1, 5], [2, 10], [4, 1], [5, 2]], 13/4644864000],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 76361/2149908480],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 11/4587520],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 210689/4644864000],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 23927/334430208],
[[[1, 5], [2, 10], [4, 2], [7, 1]], 253/159252480],
[[[1, 5], [2, 10], [4, 2], [9, 1]], 113/92897280],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 36797/1300561920],
[[[1, 5], [2, 10], [4, 2], [18, 1]], 11/1990656],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 67/232243200],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 110611/2229534720],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 840901/44590694400],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 53597/1857945600],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 28901/2229534720],
[[[1, 5], [2, 10], [5, 1], [6, 3]], 137/19595520],
[[[1, 5], [2, 10], [5, 1], [7, 1]], 1/1625702400],
[[[1, 5], [2, 10], [5, 1], [14, 1]], 353/203212800],
[[[1, 5], [2, 10], [5, 2], [6, 1]], 1/829440000],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 95903/2903040000],
[[[1, 5], [2, 10], [6, 2], [7, 1]], 83/23224320],
[[[1, 5], [2, 10], [6, 2], [9, 1]], 83/29859840],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 24811/1219276800],
[[[1, 5], [2, 10], [6, 2], [18, 1]], 7517/1045094400],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 523/59719680],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 289063/8957952000],
[[[1, 5], [2, 10], [6, 3], [12, 1]], 121/39813120],
[[[1, 5], [2, 10], [7, 1], [10, 1]], 29/19353600],
[[[1, 5], [2, 10], [8, 1], [14, 1]], 61/15482880],
[[[1, 5], [2, 10], [9, 1], [10, 1]], 29/24883200],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 1927/145152000],
[[[1, 5], [2, 10], [10, 1], [18, 1]], 101/41472000],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 11527/22295347200],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 171936053/20316635136000],
[[[1, 5], [2, 12], [3, 1], [7, 1]], 1/234101145600],
[[[1, 5], [2, 12], [3, 1], [9, 1]], 1/100329062400],
[[[1, 5], [2, 12], [3, 1], [14, 1]], 55373/329204736000],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 11329/401316249600],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 205693/112870195200],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 1049/15676416000],
[[[1, 5], [2, 12], [3, 3], [4, 1]], 61/56435097600],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 319/12039487488],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 195407/15049359360],
[[[1, 5], [2, 12], [4, 1], [7, 1]], 1303/13005619200],
[[[1, 5], [2, 12], [4, 1], [9, 1]], 61/783820800],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 263/132710400],
[[[1, 5], [2, 12], [4, 1], [18, 1]], 1/2322432],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 11329/111476736000],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 158779/11147673600],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 35867/22295347200],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 64879/9289728000],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 87751/16721510400],
[[[1, 5], [2, 12], [5, 1], [6, 2]], 479/627056640],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 419501/1672151040000],
[[[1, 5], [2, 12], [6, 1], [7, 1]], 1/5419008],
[[[1, 5], [2, 12], [6, 1], [9, 1]], 1/6967296],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 59557/29262643200],
[[[1, 5], [2, 12], [6, 1], [18, 1]], 7111/12541132800],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 563/278691840],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 388907/41803776000],
[[[1, 5], [2, 12], [6, 2], [12, 1]], 263/696729600],
[[[1, 5], [2, 12], [8, 1], [10, 1]], 31/38707200],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 881/22295347200],
[[[1, 5], [2, 14], [3, 1], [5, 1]], 73/83607552000],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 144189923/379243855872000],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 25247/1175731200000],
[[[1, 5], [2, 14], [3, 1], [12, 1]], 73/66886041600],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 137/75246796800],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 123647/9029615616000],
[[[1, 5], [2, 14], [4, 1], [5, 1]], 137/20901888000],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 2842183/2407897497600],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 26861/445906944000],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 40337/95551488000],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 3781/5350883328],
[[[1, 5], [2, 14], [5, 1], [6, 1]], 311/15676416000],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 97/1045094400],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 2791121/5016453120000],
[[[1, 5], [2, 14], [6, 1], [12, 1]], 1163/167215104000],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 6647/6019743744000],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 32361737/7584877117440000],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 2583299/84276412416000],
[[[1, 5], [3, 1], [5, 3], [7, 1]], 1/12600],
[[[1, 5], [3, 1], [5, 3], [9, 1]], 1/13500],
[[[1, 5], [3, 1], [7, 1], [9, 2]], 1/6804],
[[[1, 5], [3, 1], [7, 2], [9, 1]], 1/3969],
[[[1, 5], [3, 2], [4, 2], [7, 2]], 1/677376],
[[[1, 5], [3, 2], [4, 2], [9, 2]], 1/124416],
[[[1, 5], [3, 2], [5, 1], [7, 2]], 1/5880],
[[[1, 5], [3, 2], [5, 1], [9, 2]], 1/3240],
[[[1, 5], [3, 2], [5, 2], [10, 2]], 1/43200],
[[[1, 5], [3, 2], [5, 3], [6, 2]], 1/216000],
[[[1, 5], [3, 2], [5, 3], [12, 1]], 1/36000],
[[[1, 5], [3, 2], [6, 2], [7, 2]], 1/127008],
[[[1, 5], [3, 2], [7, 2], [12, 1]], 1/21168],
[[[1, 5], [3, 3], [5, 2], [7, 1]], 181/2721600],
[[[1, 5], [3, 3], [5, 2], [9, 1]], 41/291600],
[[[1, 5], [3, 4], [5, 2], [6, 2]], 1/1166400],
[[[1, 5], [3, 4], [5, 2], [12, 1]], 1/194400],
[[[1, 5], [3, 4], [7, 1], [9, 1]], 5/54432],
[[[1, 5], [3, 5], [5, 1], [7, 1]], 1/90720],
[[[1, 5], [3, 5], [5, 1], [9, 1]], 1/38880],
[[[1, 5], [3, 5], [6, 2], [7, 1]], 1/489888],
[[[1, 5], [3, 5], [6, 2], [9, 1]], 1/209952],
[[[1, 5], [3, 5], [7, 1], [12, 1]], 1/81648],
[[[1, 5], [3, 5], [9, 1], [12, 1]], 1/34992],
[[[1, 5], [4, 2], [5, 2], [10, 2]], 1/153600],
[[[1, 5], [5, 2], [7, 1], [9, 1]], 1/37800],
[[[1, 6], [2, 1], [3, 1], [5, 4]], 9/160000],
[[[1, 6], [2, 1], [3, 3], [5, 3]], 253/3888000],
[[[1, 6], [2, 1], [3, 3], [7, 2]], 11/95256],
[[[1, 6], [2, 1], [3, 3], [9, 2]], 5/46656],
[[[1, 6], [2, 1], [3, 5], [5, 2]], 1/103680],
[[[1, 6], [2, 1], [3, 6], [6, 3]], 163/68024448],
[[[1, 6], [2, 1], [3, 6], [7, 1]], 29/5878656],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 1/93312],
[[[1, 6], [2, 1], [3, 6], [14, 1]], 1/734832],
[[[1, 6], [2, 1], [3, 6], [18, 1]], 1/944784],
[[[1, 6], [2, 1], [3, 7], [5, 1]], 1/6298560],
[[[1, 6], [2, 1], [3, 8], [4, 1]], 1/15116544],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 1/2519424],
[[[1, 6], [2, 1], [4, 1], [5, 4]], 11/640000],
[[[1, 6], [2, 1], [4, 3], [5, 3]], 1/768000],
[[[1, 6], [2, 1], [5, 3], [6, 3]], 1/38880000],
[[[1, 6], [2, 1], [5, 3], [7, 1]], 1/14000],
[[[1, 6], [2, 1], [5, 3], [9, 1]], 1/54000],
[[[1, 6], [2, 1], [5, 3], [14, 1]], 1/420000],
[[[1, 6], [2, 1], [5, 3], [18, 1]], 1/540000],
[[[1, 6], [2, 1], [6, 3], [7, 2]], 1/4572288],
[[[1, 6], [2, 1], [7, 2], [9, 1]], 1/10584],
[[[1, 6], [2, 1], [7, 2], [14, 1]], 1/49392],
[[[1, 6], [2, 1], [7, 2], [18, 1]], 1/63504],
[[[1, 6], [2, 3], [3, 2], [5, 3]], 1/12000],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 367/2709504],
[[[1, 6], [2, 3], [3, 2], [9, 2]], 77/1492992],
[[[1, 6], [2, 3], [3, 3], [6, 5]], 1/3359232],
[[[1, 6], [2, 3], [3, 4], [4, 4]], 1/2654208],
[[[1, 6], [2, 3], [3, 4], [5, 2]], 173/9331200],
[[[1, 6], [2, 3], [3, 4], [6, 4]], 85/5038848],
[[[1, 6], [2, 3], [3, 5], [4, 3]], 5/1990656],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 1463/15116544],
[[[1, 6], [2, 3], [3, 5], [7, 1]], 7/1119744],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 23/1679616],
[[[1, 6], [2, 3], [3, 5], [14, 1]], 1/326592],
[[[1, 6], [2, 3], [3, 5], [18, 1]], 1/419904],
[[[1, 6], [2, 3], [3, 6], [4, 2]], 37/10077696],
[[[1, 6], [2, 3], [3, 6], [5, 1]], 1/5598720],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 2245/45349632],
[[[1, 6], [2, 3], [3, 6], [10, 1]], 1/3149280],
[[[1, 6], [2, 3], [3, 7], [4, 1]], 1/13436928],
[[[1, 6], [2, 3], [3, 7], [6, 1]], 7/10077696],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 151/1440000],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 167/1354752],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 1/8192],
[[[1, 6], [2, 3], [4, 4], [5, 2]], 1/153600],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 17/196608],
[[[1, 6], [2, 3], [4, 4], [10, 2]], 1/2457600],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 1/3920],
[[[1, 6], [2, 3], [5, 1], [10, 3]], 1/1536000],
[[[1, 6], [2, 3], [5, 2], [10, 2]], 439/7680000],
[[[1, 6], [2, 3], [5, 3], [6, 2]], 31/6480000],
[[[1, 6], [2, 3], [5, 3], [8, 1]], 1/38400],
[[[1, 6], [2, 3], [5, 3], [10, 1]], 16459/115200000],
[[[1, 6], [2, 3], [6, 2], [7, 2]], 19/762048],
[[[1, 6], [2, 3], [6, 2], [14, 2]], 1/40642560],
[[[1, 6], [2, 3], [6, 2], [18, 2]], 1/7464960],
[[[1, 6], [2, 3], [7, 2], [8, 1]], 5/37632],
[[[1, 6], [2, 3], [7, 2], [10, 1]], 19/211680],
[[[1, 6], [2, 5], [3, 1], [5, 3]], 53/17280000],
[[[1, 6], [2, 5], [3, 1], [7, 2]], 101/6773760],
[[[1, 6], [2, 5], [3, 1], [9, 2]], 1/622080],
[[[1, 6], [2, 5], [3, 1], [10, 3]], 47/25920000],
[[[1, 6], [2, 5], [3, 1], [14, 2]], 47/5080320],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 1/589824],
[[[1, 6], [2, 5], [3, 2], [6, 5]], 1639/806215680],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 11/884736],
[[[1, 6], [2, 5], [3, 3], [5, 2]], 611/248832000],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 133/1119744],
[[[1, 6], [2, 5], [3, 3], [10, 2]], 1/248832000],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 485/23887872],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 1729/6718464],
[[[1, 6], [2, 5], [3, 4], [7, 1]], 131/104509440],
[[[1, 6], [2, 5], [3, 4], [9, 1]], 131/44789760],
[[[1, 6], [2, 5], [3, 4], [14, 1]], 1/580608],
[[[1, 6], [2, 5], [3, 4], [18, 1]], 1/746496],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 11/3981312],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 599/10077696],
[[[1, 6], [2, 5], [3, 5], [10, 1]], 1/1399680],
[[[1, 6], [2, 5], [3, 6], [6, 1]], 2057/7255941120],
[[[1, 6], [2, 5], [4, 1], [5, 3]], 17/1024000],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 5/64512],
[[[1, 6], [2, 5], [4, 1], [10, 3]], 1/614400],
[[[1, 6], [2, 5], [4, 1], [14, 2]], 1/150528],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 199/2457600],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 1/2654208],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 53/98304],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 1/81920],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 89/15925248],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 47/1032192],
[[[1, 6], [2, 5], [4, 4], [9, 1]], 1/36864],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 7/294912],
[[[1, 6], [2, 5], [4, 4], [18, 1]], 1/73728],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 1/163840],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 1/884736],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 19/393216],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 1/245760],
[[[1, 6], [2, 5], [5, 2], [6, 3]], 13/49766400],
[[[1, 6], [2, 5], [5, 2], [7, 1]], 41/16128000],
[[[1, 6], [2, 5], [5, 2], [9, 1]], 1/3456000],
[[[1, 6], [2, 5], [5, 2], [14, 1]], 13/537600],
[[[1, 6], [2, 5], [5, 2], [18, 1]], 13/691200],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 413/64800000],
[[[1, 6], [2, 5], [6, 1], [7, 2]], 31/952560],
[[[1, 6], [2, 5], [6, 1], [10, 3]], 1/4320000],
[[[1, 6], [2, 5], [6, 1], [14, 2]], 23/20321280],
[[[1, 6], [2, 5], [6, 3], [10, 2]], 1/373248000],
[[[1, 6], [2, 5], [6, 4], [14, 1]], 1/156764160],
[[[1, 6], [2, 5], [6, 4], [18, 1]], 1/67184640],
[[[1, 6], [2, 5], [7, 1], [10, 2]], 1/2688000],
[[[1, 6], [2, 5], [9, 1], [10, 2]], 1/3456000],
[[[1, 6], [2, 5], [10, 2], [14, 1]], 23/48384000],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 67/3538944],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 593/100776960],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 85/3538944],
[[[1, 6], [2, 7], [3, 2], [5, 2]], 8039/31352832000],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 34207/268738560],
[[[1, 6], [2, 7], [3, 2], [10, 2]], 167/24883200],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 341/47775744],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 96887/403107840],
[[[1, 6], [2, 7], [3, 3], [7, 1]], 743/5643509760],
[[[1, 6], [2, 7], [3, 3], [9, 1]], 1607/5643509760],
[[[1, 6], [2, 7], [3, 3], [14, 1]], 1/13063680],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 5/15925248],
[[[1, 6], [2, 7], [3, 4], [5, 1]], 1/220449600],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 9301/268738560],
[[[1, 6], [2, 7], [3, 4], [10, 1]], 1/2488320],
[[[1, 6], [2, 7], [3, 5], [4, 1]], 1/537477120],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 7/403107840],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 361/358318080],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 17/2304000],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 2459/143327232],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 949/5898240],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 15467/221184000],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 245/3981312],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 349/6193152],
[[[1, 6], [2, 7], [4, 3], [9, 1]], 5/221184],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 211/2064384],
[[[1, 6], [2, 7], [4, 3], [18, 1]], 1/27648],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 97/2949120],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 1165/21233664],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 827/4423680],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 647/9830400],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 19/884736],
[[[1, 6], [2, 7], [5, 1], [6, 4]], 79/22394880],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 311/6912000],
[[[1, 6], [2, 7], [5, 2], [6, 2]], 17/10368000],
[[[1, 6], [2, 7], [5, 2], [8, 1]], 1/6144000],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 733/46080000],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 2579/497664000],
[[[1, 6], [2, 7], [6, 3], [7, 1]], 83/23224320],
[[[1, 6], [2, 7], [6, 3], [9, 1]], 31/11197440],
[[[1, 6], [2, 7], [6, 3], [14, 1]], 1219/313528320],
[[[1, 6], [2, 7], [6, 3], [18, 1]], 419/89579520],
[[[1, 6], [2, 7], [6, 4], [8, 1]], 1/1327104],
[[[1, 6], [2, 7], [6, 4], [10, 1]], 79/89579520],
[[[1, 6], [2, 7], [7, 1], [14, 1]], 19/2257920],
[[[1, 6], [2, 7], [7, 1], [18, 1]], 1/967680],
[[[1, 6], [2, 7], [8, 1], [10, 2]], 11/1024000],
[[[1, 6], [2, 7], [9, 1], [14, 1]], 1/181440],
[[[1, 6], [2, 7], [14, 1], [18, 1]], 1/967680],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 469/35389440],
[[[1, 6], [2, 9], [3, 1], [5, 2]], 113/5225472000],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 1229959/32248627200],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 27617/4354560000],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 233/127401984],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 10708171/112870195200],
[[[1, 6], [2, 9], [3, 2], [7, 1]], 1/54190080],
[[[1, 6], [2, 9], [3, 2], [9, 1]], 1/58786560],
[[[1, 6], [2, 9], [3, 2], [14, 1]], 151/104509440],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 17/185794560],
[[[1, 6], [2, 9], [3, 3], [5, 1]], 1/188116992],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 11059/716636160],
[[[1, 6], [2, 9], [3, 3], [10, 1]], 101/2985984000],
[[[1, 6], [2, 9], [3, 4], [4, 1]], 29/12899450880],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 2473/45148078080],
[[[1, 6], [2, 9], [4, 1], [5, 2]], 253/3096576000],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 5471/238878720],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 1/147456],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 5273/110592000],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 15017/179159040],
[[[1, 6], [2, 9], [4, 2], [7, 1]], 66277/7803371520],
[[[1, 6], [2, 9], [4, 2], [9, 1]], 11/1990656],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 10343/185794560],
[[[1, 6], [2, 9], [4, 2], [18, 1]], 37/3317760],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 233/35389440],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 37/368640],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 2673/36700160],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 1651/22118400],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 6317/148635648],
[[[1, 6], [2, 9], [5, 1], [6, 3]], 1093/111974400],
[[[1, 6], [2, 9], [5, 1], [7, 1]], 1/25401600],
[[[1, 6], [2, 9], [5, 1], [14, 1]], 151/29030400],
[[[1, 6], [2, 9], [5, 2], [6, 1]], 1/10368000],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 373559/17418240000],
[[[1, 6], [2, 9], [6, 2], [7, 1]], 41/7741440],
[[[1, 6], [2, 9], [6, 2], [9, 1]], 121/29859840],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 231701/14631321600],
[[[1, 6], [2, 9], [6, 2], [18, 1]], 9739/1567641600],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 7/1105920],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 144137/8957952000],
[[[1, 6], [2, 9], [6, 3], [12, 1]], 61/39813120],
[[[1, 6], [2, 9], [7, 1], [10, 1]], 37/10752000],
[[[1, 6], [2, 9], [8, 1], [14, 1]], 31/5160960],
[[[1, 6], [2, 9], [9, 1], [10, 1]], 101/41472000],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 7613/580608000],
[[[1, 6], [2, 9], [10, 1], [18, 1]], 17/8294400],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 38803/13377208320],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 8421071/451480780800],
[[[1, 6], [2, 11], [3, 1], [7, 1]], 1/2167603200],
[[[1, 6], [2, 11], [3, 1], [9, 1]], 17/25082265600],
[[[1, 6], [2, 11], [3, 1], [14, 1]], 37579/54867456000],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 63769/200658124800],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 1/7166361600],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 71844587/9029615616000],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 109/348364800],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 79/12899450880],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 62077/300987187200],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 579599/25082265600],
[[[1, 6], [2, 11], [4, 1], [7, 1]], 13159/23410114560],
[[[1, 6], [2, 11], [4, 1], [9, 1]], 1/2322432],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 37507/6502809600],
[[[1, 6], [2, 11], [4, 1], [18, 1]], 59/49766400],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 21233/18579456000],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 4621/119439360],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 113041/14863564800],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 11269/516096000],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 8087/371589120],
[[[1, 6], [2, 11], [5, 1], [6, 2]], 2869/1045094400],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 39967/33443020800],
[[[1, 6], [2, 11], [6, 1], [7, 1]], 353/541900800],
[[[1, 6], [2, 11], [6, 1], [9, 1]], 263/522547200],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 3603889/877879296000],
[[[1, 6], [2, 11], [6, 1], [18, 1]], 402109/376233984000],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 17/4423680],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 546823/41803776000],
[[[1, 6], [2, 11], [6, 2], [12, 1]], 1/1555200],
[[[1, 6], [2, 11], [8, 1], [10, 1]], 7/3456000],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 7703/26754416640],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 3103/557383680000],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 14858807/9029615616000],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 115723/940584960000],
[[[1, 6], [2, 13], [3, 1], [12, 1]], 1163/167215104000],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 767/38220595200],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 215147/2006581248000],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 767/10616832000],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 413831/100329062400],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 67309/191102976000],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 15671/9289728000],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 140257/40131624960],
[[[1, 6], [2, 13], [5, 1], [6, 1]], 1063/7838208000],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 169/464486400],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 995321/627056640000],
[[[1, 6], [2, 13], [6, 1], [12, 1]], 563/22295347200],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 925787/90296156160000],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 80643959/2528292372480000],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 3209/17836277760],
[[[1, 7], [2, 2], [3, 2], [5, 3]], 1/6750],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 449/2709504],
[[[1, 7], [2, 2], [3, 2], [9, 2]], 67/1492992],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 1/7962624],
[[[1, 7], [2, 2], [3, 4], [5, 2]], 593/9331200],
[[[1, 7], [2, 2], [3, 4], [6, 4]], 85/30233088],
[[[1, 7], [2, 2], [3, 5], [4, 3]], 1/2985984],
[[[1, 7], [2, 2], [3, 5], [6, 3]], 109/15116544],
[[[1, 7], [2, 2], [3, 5], [7, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 59/1679616],
[[[1, 7], [2, 2], [3, 5], [14, 1]], 1/163296],
[[[1, 7], [2, 2], [3, 5], [18, 1]], 1/209952],
[[[1, 7], [2, 2], [3, 6], [4, 2]], 17/6718464],
[[[1, 7], [2, 2], [3, 6], [5, 1]], 83/16796160],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 427/15116544],
[[[1, 7], [2, 2], [3, 6], [8, 1]], 1/1679616],
[[[1, 7], [2, 2], [3, 6], [10, 1]], 1/1049760],
[[[1, 7], [2, 2], [3, 6], [12, 1]], 1/559872],
[[[1, 7], [2, 2], [3, 7], [4, 1]], 13/6718464],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 109/15116544],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 59/1920000],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 17/451584],
[[[1, 7], [2, 2], [4, 4], [5, 2]], 1/491520],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 1/196608],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 1/3920],
[[[1, 7], [2, 2], [5, 1], [10, 3]], 1/23040000],
[[[1, 7], [2, 2], [5, 2], [10, 2]], 473/290304000],
[[[1, 7], [2, 2], [5, 3], [6, 2]], 1/2160000],
[[[1, 7], [2, 2], [5, 3], [8, 1]], 11/960000],
[[[1, 7], [2, 2], [5, 3], [10, 1]], 4357/115200000],
[[[1, 7], [2, 2], [6, 2], [7, 2]], 1/254016],
[[[1, 7], [2, 2], [6, 2], [14, 2]], 1/2560481280],
[[[1, 7], [2, 2], [6, 2], [18, 2]], 1/470292480],
[[[1, 7], [2, 2], [7, 2], [8, 1]], 1/16128],
[[[1, 7], [2, 2], [7, 2], [10, 1]], 1/70560],
[[[1, 7], [2, 4], [3, 1], [5, 3]], 157/2304000],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 5/63504],
[[[1, 7], [2, 4], [3, 1], [9, 2]], 1/124416],
[[[1, 7], [2, 4], [3, 1], [10, 3]], 1/8640000],
[[[1, 7], [2, 4], [3, 1], [14, 2]], 1/1693440],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 1/884736],
[[[1, 7], [2, 4], [3, 2], [6, 5]], 1/4478976],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 5/589824],
[[[1, 7], [2, 4], [3, 3], [5, 2]], 305/5971968],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 4051/268738560],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 1033/35831808],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 11165/60466176],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 191/8957952],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 713/26873856],
[[[1, 7], [2, 4], [3, 4], [14, 1]], 13/1306368],
[[[1, 7], [2, 4], [3, 4], [18, 1]], 13/1679616],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 295/11943936],
[[[1, 7], [2, 4], [3, 5], [5, 1]], 113/22394880],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 3071/20155392],
[[[1, 7], [2, 4], [3, 5], [8, 1]], 1/746496],
[[[1, 7], [2, 4], [3, 5], [10, 1]], 1/279936],
[[[1, 7], [2, 4], [3, 5], [12, 1]], 1/995328],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 13/4478976],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 1511/120932352],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 1483/15360000],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 113/677376],
[[[1, 7], [2, 4], [4, 1], [10, 3]], 1/46080000],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 2527/27648000],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 79/368640],
[[[1, 7], [2, 4], [4, 3], [10, 2]], 7/7372800],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 3/114688],
[[[1, 7], [2, 4], [4, 4], [9, 1]], 1/73728],
[[[1, 7], [2, 4], [4, 4], [14, 1]], 1/688128],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 1/245760],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 1/3538944],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 1/49152],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 1/983040],
[[[1, 7], [2, 4], [5, 2], [6, 3]], 1/2985984],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 281/2419200],
[[[1, 7], [2, 4], [5, 2], [9, 1]], 13/691200],
[[[1, 7], [2, 4], [5, 2], [14, 1]], 1/32256],
[[[1, 7], [2, 4], [5, 2], [18, 1]], 1/41472],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 23/4320000],
[[[1, 7], [2, 4], [6, 1], [7, 2]], 1/36288],
[[[1, 7], [2, 4], [6, 1], [10, 3]], 1/68040000],
[[[1, 7], [2, 4], [6, 1], [14, 2]], 19/256048128],
[[[1, 7], [2, 4], [6, 3], [10, 2]], 1/23514624000],
[[[1, 7], [2, 4], [6, 4], [14, 1]], 1/9876142080],
[[[1, 7], [2, 4], [6, 4], [18, 1]], 1/4232632320],
[[[1, 7], [2, 4], [10, 2], [14, 1]], 19/609638400],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 19/884736],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 7/403107840],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 1165/21233664],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 2579/497664000],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 9301/268738560],
[[[1, 7], [2, 6], [3, 2], [10, 2]], 17/10368000],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 245/3981312],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 96887/403107840],
[[[1, 7], [2, 6], [3, 3], [7, 1]], 1219/313528320],
[[[1, 7], [2, 6], [3, 3], [9, 1]], 419/89579520],
[[[1, 7], [2, 6], [3, 3], [14, 1]], 83/23224320],
[[[1, 7], [2, 6], [3, 3], [18, 1]], 31/11197440],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 2459/143327232],
[[[1, 7], [2, 6], [3, 4], [5, 1]], 79/89579520],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 34207/268738560],
[[[1, 7], [2, 6], [3, 4], [8, 1]], 1/1327104],
[[[1, 7], [2, 6], [3, 4], [10, 1]], 79/22394880],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 361/358318080],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 593/100776960],
[[[1, 7], [2, 6], [4, 1], [6, 5]], 1/537477120],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 15467/221184000],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 5/15925248],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 949/5898240],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 17/2304000],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 341/47775744],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 211/2064384],
[[[1, 7], [2, 6], [4, 3], [9, 1]], 1/27648],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 349/6193152],
[[[1, 7], [2, 6], [4, 3], [18, 1]], 5/221184],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 647/9830400],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 85/3538944],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 827/4423680],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 97/2949120],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 67/3538944],
[[[1, 7], [2, 6], [5, 1], [6, 4]], 1/2488320],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 733/46080000],
[[[1, 7], [2, 6], [5, 2], [6, 2]], 167/24883200],
[[[1, 7], [2, 6], [5, 2], [8, 1]], 11/1024000],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 311/6912000],
[[[1, 7], [2, 6], [6, 2], [10, 2]], 8039/31352832000],
[[[1, 7], [2, 6], [6, 3], [7, 1]], 1/13063680],
[[[1, 7], [2, 6], [6, 3], [14, 1]], 743/5643509760],
[[[1, 7], [2, 6], [6, 3], [18, 1]], 1607/5643509760],
[[[1, 7], [2, 6], [6, 4], [10, 1]], 1/220449600],
[[[1, 7], [2, 6], [7, 1], [9, 1]], 1/967680],
[[[1, 7], [2, 6], [7, 1], [14, 1]], 19/2257920],
[[[1, 7], [2, 6], [7, 1], [18, 1]], 1/181440],
[[[1, 7], [2, 6], [8, 1], [10, 2]], 1/6144000],
[[[1, 7], [2, 6], [9, 1], [14, 1]], 1/967680],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 911/21233664],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 38453/104509440000],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 77293/6449725440],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 3169/622080000],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 185/7962624],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 481061/5374771200],
[[[1, 7], [2, 8], [3, 2], [7, 1]], 30257/87787929600],
[[[1, 7], [2, 8], [3, 2], [9, 1]], 6931/18811699200],
[[[1, 7], [2, 8], [3, 2], [14, 1]], 1/516096],
[[[1, 7], [2, 8], [3, 2], [18, 1]], 1/9953280],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 1429/477757440],
[[[1, 7], [2, 8], [3, 3], [5, 1]], 10609/112870195200],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 19747/429981696],
[[[1, 7], [2, 8], [3, 3], [10, 1]], 19/22118400],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 7043/67722117120],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 119477/135444234240],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 86351/52254720000],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 2239/537477120],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 1/92160],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 57119/3317760000],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 8071/238878720],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 157/5898240],
[[[1, 7], [2, 8], [4, 2], [9, 1]], 37/3317760],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 1049/20643840],
[[[1, 7], [2, 8], [4, 2], [18, 1]], 13/1105920],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 59/1474560],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 26117/318504960],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 1637/11796480],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 2483/29491200],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 2221/35389440],
[[[1, 7], [2, 8], [5, 1], [6, 3]], 3011/597196800],
[[[1, 7], [2, 8], [5, 1], [7, 1]], 45373/73156608000],
[[[1, 7], [2, 8], [5, 1], [14, 1]], 1/143360],
[[[1, 7], [2, 8], [5, 1], [18, 1]], 1/2764800],
[[[1, 7], [2, 8], [5, 2], [6, 1]], 331/248832000],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 2064883/548674560000],
[[[1, 7], [2, 8], [6, 2], [7, 1]], 233/69672960],
[[[1, 7], [2, 8], [6, 2], [9, 1]], 61/29859840],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 948761/230443315200],
[[[1, 7], [2, 8], [6, 2], [18, 1]], 443867/197522841600],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 31/19906560],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 1246787/564350976000],
[[[1, 7], [2, 8], [6, 3], [12, 1]], 1/13271040],
[[[1, 7], [2, 8], [7, 1], [8, 1]], 1/1720320],
[[[1, 7], [2, 8], [7, 1], [10, 1]], 101/19353600],
[[[1, 7], [2, 8], [8, 1], [14, 1]], 19/5160960],
[[[1, 7], [2, 8], [9, 1], [10, 1]], 17/8294400],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 4121/914457600],
[[[1, 7], [2, 8], [10, 1], [18, 1]], 1/2764800],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 130159/13377208320],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 1298593/64497254400],
[[[1, 7], [2, 10], [3, 1], [7, 1]], 1151/70230343680],
[[[1, 7], [2, 10], [3, 1], [9, 1]], 379/30098718720],
[[[1, 7], [2, 10], [3, 1], [14, 1]], 1307/914457600],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 16841/10032906240],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 457/50164531200],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 3684533/200658124800],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 1099/1492992000],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 1/38707200],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 250601/300987187200],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 1132597/60197437440],
[[[1, 7], [2, 10], [4, 1], [7, 1]], 67147/39016857600],
[[[1, 7], [2, 10], [4, 1], [9, 1]], 59/49766400],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 23903/2786918400],
[[[1, 7], [2, 10], [4, 1], [18, 1]], 61/39813120],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 55393/9289728000],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 16187/318504960],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 2552479/133772083200],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 47251/1327104000],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 14401/318504960],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 449/99532800],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 87229/29859840000],
[[[1, 7], [2, 10], [6, 1], [7, 1]], 829/696729600],
[[[1, 7], [2, 10], [6, 1], [9, 1]], 1/1166400],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 112494587/27653197824000],
[[[1, 7], [2, 10], [6, 1], [18, 1]], 11361617/11851370496000],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 91/26542080],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 22328623/2633637888000],
[[[1, 7], [2, 10], [6, 2], [12, 1]], 1/2211840],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 31/12288000],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 479113/401316249600],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 1369/66886041600],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 71563901/18059231232000],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 60667/156764160000],
[[[1, 7], [2, 12], [3, 1], [12, 1]], 563/22295347200],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 2773/24078974976],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 701899/1504935936000],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 19/45875200],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 23881849/3009871872000],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 251263/222953472000],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 3184717/836075520000],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 23833/2477260800],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 2311/4644864000],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 79/103219200],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 199581373/79009136640000],
[[[1, 7], [2, 12], [6, 1], [12, 1]], 13/265420800],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 699169/12039487488000],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 10246703/72236924928000],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 153959/240789749760],
[[[1, 7], [3, 1], [4, 2], [5, 3]], 1/1152000],
[[[1, 7], [3, 1], [4, 2], [7, 2]], 1/677376],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 1/11025],
[[[1, 7], [3, 1], [5, 1], [9, 2]], 1/97200],
[[[1, 7], [3, 1], [5, 2], [10, 2]], 1/864000],
[[[1, 7], [3, 1], [5, 3], [6, 2]], 1/4320000],
[[[1, 7], [3, 1], [5, 3], [12, 1]], 1/720000],
[[[1, 7], [3, 1], [6, 2], [7, 2]], 1/508032],
[[[1, 7], [3, 1], [7, 2], [12, 1]], 1/84672],
[[[1, 7], [3, 2], [5, 2], [7, 1]], 229/2268000],
[[[1, 7], [3, 2], [5, 2], [9, 1]], 11/108000],
[[[1, 7], [3, 3], [4, 2], [5, 2]], 1/6220800],
[[[1, 7], [3, 3], [5, 2], [6, 2]], 13/3110400],
[[[1, 7], [3, 3], [5, 2], [12, 1]], 13/518400],
[[[1, 7], [3, 3], [7, 1], [9, 1]], 113/2449440],
[[[1, 7], [3, 4], [4, 2], [7, 1]], 1/2612736],
[[[1, 7], [3, 4], [4, 2], [9, 1]], 1/1119744],
[[[1, 7], [3, 4], [5, 1], [7, 1]], 197/5443200],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 341/6998400],
[[[1, 7], [3, 4], [6, 2], [7, 1]], 1/559872],
[[[1, 7], [3, 4], [6, 2], [9, 1]], 1/559872],
[[[1, 7], [3, 4], [7, 1], [12, 1]], 1/93312],
[[[1, 7], [3, 4], [9, 1], [12, 1]], 1/93312],
[[[1, 7], [3, 5], [5, 1], [6, 2]], 1/699840],
[[[1, 7], [3, 5], [5, 1], [12, 1]], 1/116640],
[[[1, 7], [3, 6], [4, 1], [8, 1]], 1/1679616],
[[[1, 7], [4, 1], [5, 3], [8, 1]], 1/960000],
[[[1, 7], [4, 1], [7, 2], [8, 1]], 1/112896],
[[[1, 7], [4, 2], [5, 2], [7, 1]], 1/1612800],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 4/50625],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 461/8128512],
[[[1, 8], [2, 1], [3, 2], [9, 2]], 13/1492992],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 791/15552000],
[[[1, 8], [2, 1], [3, 5], [4, 3]], 1/8957952],
[[[1, 8], [2, 1], [3, 5], [6, 3]], 109/90699264],
[[[1, 8], [2, 1], [3, 5], [7, 1]], 91/5598720],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 151/8398080],
[[[1, 8], [2, 1], [3, 5], [14, 1]], 1/979776],
[[[1, 8], [2, 1], [3, 5], [18, 1]], 1/1259712],
[[[1, 8], [2, 1], [3, 6], [4, 2]], 1/13436928],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 409/50388480],
[[[1, 8], [2, 1], [3, 6], [6, 2]], 1/1679616],
[[[1, 8], [2, 1], [3, 6], [8, 1]], 1/1679616],
[[[1, 8], [2, 1], [3, 6], [12, 1]], 1/279936],
[[[1, 8], [2, 1], [3, 7], [4, 1]], 107/120932352],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 29/10077696],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 13/23040000],
[[[1, 8], [2, 1], [4, 2], [7, 2]], 1/301056],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 1/12600],
[[[1, 8], [2, 1], [5, 1], [10, 3]], 1/1451520000],
[[[1, 8], [2, 1], [5, 2], [10, 2]], 1/9216000],
[[[1, 8], [2, 1], [5, 3], [8, 1]], 1/960000],
[[[1, 8], [2, 1], [5, 3], [10, 1]], 4033/1451520000],
[[[1, 8], [2, 1], [7, 2], [8, 1]], 1/112896],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 109/960000],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 109/1354752],
[[[1, 8], [2, 3], [3, 1], [9, 2]], 1/186624],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 1/3538944],
[[[1, 8], [2, 3], [3, 2], [6, 5]], 1/53747712],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 1/497664],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 4567/37324800],
[[[1, 8], [2, 3], [3, 3], [6, 4]], 149/67184640],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 13/1327104],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 15223/483729408],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 767/15676416],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 287/6718464],
[[[1, 8], [2, 3], [3, 4], [14, 1]], 29/2612736],
[[[1, 8], [2, 3], [3, 4], [18, 1]], 29/3359232],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 2375/107495424],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 13/559872],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 28307/302330880],
[[[1, 8], [2, 3], [3, 5], [8, 1]], 1/248832],
[[[1, 8], [2, 3], [3, 5], [10, 1]], 19/4199040],
[[[1, 8], [2, 3], [3, 5], [12, 1]], 13/2239488],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 455/40310784],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 2377/80621568],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 3743/46080000],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 65/677376],
[[[1, 8], [2, 3], [4, 1], [10, 3]], 1/2903040000],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 853/36864000],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 1/46080],
[[[1, 8], [2, 3], [4, 4], [7, 1]], 1/294912],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 1/983040],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 1/393216],
[[[1, 8], [2, 3], [5, 2], [6, 3]], 53/373248000],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 209/1382400],
[[[1, 8], [2, 3], [5, 2], [9, 1]], 1/41472],
[[[1, 8], [2, 3], [5, 2], [14, 1]], 53/4032000],
[[[1, 8], [2, 3], [5, 2], [18, 1]], 53/5184000],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 13/8640000],
[[[1, 8], [2, 3], [6, 1], [7, 2]], 1/112896],
[[[1, 8], [2, 3], [6, 1], [10, 3]], 1/4354560000],
[[[1, 8], [2, 3], [6, 1], [14, 2]], 1/853493760],
[[[1, 8], [2, 3], [10, 2], [14, 1]], 1/2032128000],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 1/98304],
[[[1, 8], [2, 5], [3, 1], [6, 5]], 1/8465264640],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 1121/26542080],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 353/6912000],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 1237/268738560],
[[[1, 8], [2, 5], [3, 2], [10, 2]], 1/41472000],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 21421/238878720],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 9779/80621568],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 17/622080],
[[[1, 8], [2, 5], [3, 3], [9, 1]], 85/4478976],
[[[1, 8], [2, 5], [3, 3], [14, 1]], 19/1741824],
[[[1, 8], [2, 5], [3, 3], [18, 1]], 19/2239488],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 803/11943936],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 3221/223948800],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 75893/403107840],
[[[1, 8], [2, 5], [3, 4], [8, 1]], 61/11943936],
[[[1, 8], [2, 5], [3, 4], [10, 1]], 107/11197440],
[[[1, 8], [2, 5], [3, 4], [12, 1]], 31/14929920],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 2855/214990848],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 21017/604661760],
[[[1, 8], [2, 5], [4, 1], [6, 5]], 1/33861058560],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 103/768000],
[[[1, 8], [2, 5], [4, 2], [6, 4]], 1/477757440],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 113/1474560],
[[[1, 8], [2, 5], [4, 2], [10, 2]], 61/147456000],
[[[1, 8], [2, 5], [4, 3], [6, 3]], 1/14929920],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 767/10321920],
[[[1, 8], [2, 5], [4, 3], [9, 1]], 5/221184],
[[[1, 8], [2, 5], [4, 3], [14, 1]], 11/1146880],
[[[1, 8], [2, 5], [4, 3], [18, 1]], 1/207360],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 1001/22118400],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 17/21233664],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 283/3538944],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 17/5898240],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 7/1179648],
[[[1, 8], [2, 5], [5, 1], [10, 2]], 15899/8709120000],
[[[1, 8], [2, 5], [5, 2], [6, 2]], 107/15552000],
[[[1, 8], [2, 5], [5, 2], [8, 1]], 89/3686400],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 293/7680000],
[[[1, 8], [2, 5], [6, 2], [10, 2]], 13/836075520],
[[[1, 8], [2, 5], [6, 3], [7, 1]], 1/13934592],
[[[1, 8], [2, 5], [6, 3], [14, 1]], 199/26336378880],
[[[1, 8], [2, 5], [6, 3], [18, 1]], 13/752467968],
[[[1, 8], [2, 5], [6, 4], [10, 1]], 1/14108774400],
[[[1, 8], [2, 5], [7, 1], [9, 1]], 1/181440],
[[[1, 8], [2, 5], [7, 1], [14, 1]], 1/150528],
[[[1, 8], [2, 5], [7, 1], [18, 1]], 1/193536],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 2221/35389440],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 2064883/548674560000],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 119477/135444234240],
[[[1, 8], [2, 7], [3, 1], [10, 2]], 331/248832000],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 26117/318504960],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 19747/429981696],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 948761/230443315200],
[[[1, 8], [2, 7], [3, 2], [9, 1]], 443867/197522841600],
[[[1, 8], [2, 7], [3, 2], [14, 1]], 233/69672960],
[[[1, 8], [2, 7], [3, 2], [18, 1]], 61/29859840],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 8071/238878720],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 1246787/564350976000],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 481061/5374771200],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 31/19906560],
[[[1, 8], [2, 7], [3, 3], [10, 1]], 3011/597196800],
[[[1, 8], [2, 7], [3, 3], [12, 1]], 1/13271040],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 2239/537477120],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 77293/6449725440],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 57119/3317760000],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 7043/67722117120],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 1/92160],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 86351/52254720000],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 1429/477757440],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 1049/20643840],
[[[1, 8], [2, 7], [4, 2], [9, 1]], 13/1105920],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 157/5898240],
[[[1, 8], [2, 7], [4, 2], [18, 1]], 37/3317760],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 2483/29491200],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 185/7962624],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 1637/11796480],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 59/1474560],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 911/21233664],
[[[1, 8], [2, 7], [5, 1], [6, 3]], 19/22118400],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 4121/914457600],
[[[1, 8], [2, 7], [5, 1], [9, 1]], 1/2764800],
[[[1, 8], [2, 7], [5, 1], [14, 1]], 101/19353600],
[[[1, 8], [2, 7], [5, 1], [18, 1]], 17/8294400],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 3169/622080000],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 38453/104509440000],
[[[1, 8], [2, 7], [6, 2], [7, 1]], 1/516096],
[[[1, 8], [2, 7], [6, 2], [9, 1]], 1/9953280],
[[[1, 8], [2, 7], [6, 2], [14, 1]], 30257/87787929600],
[[[1, 8], [2, 7], [6, 2], [18, 1]], 6931/18811699200],
[[[1, 8], [2, 7], [6, 3], [10, 1]], 10609/112870195200],
[[[1, 8], [2, 7], [7, 1], [8, 1]], 19/5160960],
[[[1, 8], [2, 7], [7, 1], [10, 1]], 1/143360],
[[[1, 8], [2, 7], [8, 1], [14, 1]], 1/1720320],
[[[1, 8], [2, 7], [9, 1], [10, 1]], 1/2764800],
[[[1, 8], [2, 7], [10, 1], [14, 1]], 45373/73156608000],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 80989/3185049600],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 31774537/3160365465600],
[[[1, 8], [2, 9], [3, 1], [7, 1]], 16333/58525286400],
[[[1, 8], [2, 9], [3, 1], [9, 1]], 6773/75246796800],
[[[1, 8], [2, 9], [3, 1], [14, 1]], 407/261273600],
[[[1, 8], [2, 9], [3, 1], [18, 1]], 1/9953280],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 1634177/200658124800],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 1829/10032906240],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 947657/37623398400],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 1/17694720],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 353/248832000],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 435121/902961561600],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 4387/1592524800],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 6837113/1185137049600],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 137027/39016857600],
[[[1, 8], [2, 9], [4, 1], [9, 1]], 61/39813120],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 226819/35115171840],
[[[1, 8], [2, 9], [4, 1], [18, 1]], 1/829440],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 2874157/167215104000],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 63413/2123366400],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 1868801/66886041600],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 164153/5308416000],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 73607/1592524800],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 11/3317760],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 1/4915200],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 430329799/105345515520000],
[[[1, 8], [2, 9], [6, 1], [7, 1]], 31/23224320],
[[[1, 8], [2, 9], [6, 1], [9, 1]], 1/1658880],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 8390531/4916124057600],
[[[1, 8], [2, 9], [6, 1], [18, 1]], 794683/2106910310400],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 1/829440],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 2107579/1053455155200],
[[[1, 8], [2, 9], [6, 2], [12, 1]], 1/13271040],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 1/737280],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 1545113/501645312000],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 23593/501645312000],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 494094053/94810963968000],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 4799/6967296000],
[[[1, 8], [2, 11], [3, 1], [12, 1]], 13/265420800],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 434327/1203948748800],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 7066933/6019743744000],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 141761/111476736000],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 747115757/94810963968000],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 41650883/21069103104000],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 125438951/26336378880000],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 1926137/133772083200],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 443/464486400],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 109/132710400],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 652637263/316036546560000],
[[[1, 8], [2, 11], [6, 1], [12, 1]], 49/1061683200],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 1513/7644119040],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 565068463/1516975423488000],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 72787181/54177693696000],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 113/1728000],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 199/6773760],
[[[1, 9], [2, 2], [3, 1], [9, 2]], 1/933120],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 1/2654208],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 347/3732480],
[[[1, 9], [2, 2], [3, 3], [6, 4]], 1031/5643509760],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 25/23887872],
[[[1, 9], [2, 2], [3, 4], [6, 3]], 1153/604661760],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 61/1866240],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 383/16796160],
[[[1, 9], [2, 2], [3, 4], [14, 1]], 19/6531840],
[[[1, 9], [2, 2], [3, 4], [18, 1]], 19/8398080],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 823/179159040],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 59/2239488],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 14789/1128701952],
[[[1, 9], [2, 2], [3, 5], [8, 1]], 7/2239488],
[[[1, 9], [2, 2], [3, 5], [10, 1]], 1/1399680],
[[[1, 9], [2, 2], [3, 5], [12, 1]], 29/4478976],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 451/67184640],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 8737/604661760],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 997/46080000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 137/6773760],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 29/18432000],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 1/1474560],
[[[1, 9], [2, 2], [4, 4], [7, 1]], 1/2064384],
[[[1, 9], [2, 2], [5, 2], [6, 3]], 113/5225472000],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 1111/16128000],
[[[1, 9], [2, 2], [5, 2], [9, 1]], 53/5184000],
[[[1, 9], [2, 2], [5, 2], [14, 1]], 113/56448000],
[[[1, 9], [2, 2], [5, 2], [18, 1]], 113/72576000],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/8640000],
[[[1, 9], [2, 2], [6, 1], [7, 2]], 1/1016064],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 7/3538944],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 143/11796480],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 24197/248832000],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 89/209018880],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 5261/125411328],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 13673/529079040],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 28639/627056640],
[[[1, 9], [2, 4], [3, 3], [9, 1]], 1099/44789760],
[[[1, 9], [2, 4], [3, 3], [14, 1]], 17/1866240],
[[[1, 9], [2, 4], [3, 3], [18, 1]], 119/16796160],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 137/2211840],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 3577/89579520],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 74821/705438720],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 55/5971968],
[[[1, 9], [2, 4], [3, 4], [10, 1]], 473/55987200],
[[[1, 9], [2, 4], [3, 4], [12, 1]], 19/2985984],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 1/34992],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 20741/403107840],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 119879/1548288000],
[[[1, 9], [2, 4], [4, 2], [6, 4]], 1/30098718720],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 5711/371589120],
[[[1, 9], [2, 4], [4, 2], [10, 2]], 17/2322432000],
[[[1, 9], [2, 4], [4, 3], [6, 3]], 1/238878720],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 2041/92897280],
[[[1, 9], [2, 4], [4, 3], [9, 1]], 1/207360],
[[[1, 9], [2, 4], [4, 3], [14, 1]], 1/2580480],
[[[1, 9], [2, 4], [4, 3], [18, 1]], 1/3317760],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 101/9830400],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 17/1474560],
[[[1, 9], [2, 4], [5, 1], [10, 2]], 227/1935360000],
[[[1, 9], [2, 4], [5, 2], [6, 2]], 2339/870912000],
[[[1, 9], [2, 4], [5, 2], [8, 1]], 89/4608000],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 12821/967680000],
[[[1, 9], [2, 4], [6, 2], [10, 2]], 1/4180377600],
[[[1, 9], [2, 4], [6, 3], [7, 1]], 1/39191040],
[[[1, 9], [2, 4], [6, 3], [14, 1]], 1/8778792960],
[[[1, 9], [2, 4], [6, 3], [18, 1]], 1/3762339840],
[[[1, 9], [2, 4], [7, 1], [9, 1]], 1/193536],
[[[1, 9], [2, 4], [7, 1], [14, 1]], 1/423360],
[[[1, 9], [2, 4], [7, 1], [18, 1]], 1/544320],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 6317/148635648],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 373559/17418240000],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 2473/45148078080],
[[[1, 9], [2, 6], [3, 1], [10, 2]], 1/10368000],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 37/368640],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 11059/716636160],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 231701/14631321600],
[[[1, 9], [2, 6], [3, 2], [9, 1]], 9739/1567641600],
[[[1, 9], [2, 6], [3, 2], [14, 1]], 41/7741440],
[[[1, 9], [2, 6], [3, 2], [18, 1]], 121/29859840],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 15017/179159040],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 144137/8957952000],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 10708171/112870195200],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 7/1105920],
[[[1, 9], [2, 6], [3, 3], [10, 1]], 1093/111974400],
[[[1, 9], [2, 6], [3, 3], [12, 1]], 61/39813120],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 5471/238878720],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 1229959/32248627200],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 5273/110592000],
[[[1, 9], [2, 6], [4, 1], [6, 4]], 29/12899450880],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 1/147456],
[[[1, 9], [2, 6], [4, 1], [10, 2]], 253/3096576000],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 17/185794560],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 10343/185794560],
[[[1, 9], [2, 6], [4, 2], [9, 1]], 37/3317760],
[[[1, 9], [2, 6], [4, 2], [14, 1]], 66277/7803371520],
[[[1, 9], [2, 6], [4, 2], [18, 1]], 11/1990656],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 1651/22118400],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 233/127401984],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 2673/36700160],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 233/35389440],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 469/35389440],
[[[1, 9], [2, 6], [5, 1], [6, 3]], 101/2985984000],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 7613/580608000],
[[[1, 9], [2, 6], [5, 1], [9, 1]], 17/8294400],
[[[1, 9], [2, 6], [5, 1], [14, 1]], 37/10752000],
[[[1, 9], [2, 6], [5, 1], [18, 1]], 101/41472000],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 27617/4354560000],
[[[1, 9], [2, 6], [6, 1], [10, 2]], 113/5225472000],
[[[1, 9], [2, 6], [6, 2], [7, 1]], 151/104509440],
[[[1, 9], [2, 6], [6, 2], [14, 1]], 1/54190080],
[[[1, 9], [2, 6], [6, 2], [18, 1]], 1/58786560],
[[[1, 9], [2, 6], [6, 3], [10, 1]], 1/188116992],
[[[1, 9], [2, 6], [7, 1], [8, 1]], 31/5160960],
[[[1, 9], [2, 6], [7, 1], [10, 1]], 151/29030400],
[[[1, 9], [2, 6], [10, 1], [14, 1]], 1/25401600],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 73607/1592524800],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 4387/1592524800],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 8390531/4916124057600],
[[[1, 9], [2, 8], [3, 1], [9, 1]], 794683/2106910310400],
[[[1, 9], [2, 8], [3, 1], [14, 1]], 31/23224320],
[[[1, 9], [2, 8], [3, 1], [18, 1]], 1/1658880],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 63413/2123366400],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 2107579/1053455155200],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 947657/37623398400],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 1/829440],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 11/3317760],
[[[1, 9], [2, 8], [3, 2], [12, 1]], 1/13271040],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 6837113/1185137049600],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 31774537/3160365465600],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 435121/902961561600],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 226819/35115171840],
[[[1, 9], [2, 8], [4, 1], [9, 1]], 1/829440],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 137027/39016857600],
[[[1, 9], [2, 8], [4, 1], [18, 1]], 61/39813120],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 164153/5308416000],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 1634177/200658124800],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 1868801/66886041600],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 2874157/167215104000],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 80989/3185049600],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 353/248832000],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 1/737280],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 430329799/105345515520000],
[[[1, 9], [2, 8], [6, 1], [7, 1]], 407/261273600],
[[[1, 9], [2, 8], [6, 1], [9, 1]], 1/9953280],
[[[1, 9], [2, 8], [6, 1], [14, 1]], 16333/58525286400],
[[[1, 9], [2, 8], [6, 1], [18, 1]], 6773/75246796800],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 1/17694720],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 1829/10032906240],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 1/4915200],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 1121257/175575859200],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 76831/501645312000],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 32630909/8427641241600],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 1/17694720],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 1247/1492992000],
[[[1, 9], [2, 10], [3, 1], [12, 1]], 49/1061683200],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 41779/40131624960],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 9078113/4213820620800],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 130297/55738368000],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 63134669/16855282483200],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 12990097/6019743744000],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 50065039/14046068736000],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 19847599/1685528248320],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 3337/3317760000],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 7/17694720],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 5348551/7023034368000],
[[[1, 9], [2, 10], [6, 1], [12, 1]], 1/35389440],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 314029/752467968000],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 58468489/101131694899200],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 408630373/252829237248000],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 12221/609638400],
[[[1, 9], [3, 1], [5, 2], [9, 1]], 8161/1306368000],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 13/16588800],
[[[1, 9], [3, 2], [5, 2], [6, 2]], 43/108864000],
[[[1, 9], [3, 2], [5, 2], [12, 1]], 43/18144000],
[[[1, 9], [3, 2], [7, 1], [9, 1]], 49/11197440],
[[[1, 9], [3, 3], [4, 2], [7, 1]], 1/2985984],
[[[1, 9], [3, 3], [4, 2], [9, 1]], 1/2985984],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 1289/76204800],
[[[1, 9], [3, 3], [5, 1], [9, 1]], 17/1530900],
[[[1, 9], [3, 3], [6, 2], [7, 1]], 37/91445760],
[[[1, 9], [3, 3], [6, 2], [9, 1]], 1/19595520],
[[[1, 9], [3, 3], [7, 1], [12, 1]], 37/15240960],
[[[1, 9], [3, 3], [9, 1], [12, 1]], 1/3265920],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 1/3732480],
[[[1, 9], [3, 4], [5, 1], [6, 2]], 17/27993600],
[[[1, 9], [3, 4], [5, 1], [12, 1]], 17/4665600],
[[[1, 9], [3, 5], [4, 1], [8, 1]], 1/2239488],
[[[1, 9], [5, 1], [7, 1], [9, 1]], 1/453600],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 15931/1088640000],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 1769/426746880],
[[[1, 10], [2, 1], [3, 1], [9, 2]], 1/13063680],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 43453/1741824000],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 11/71663616],
[[[1, 10], [2, 1], [3, 4], [6, 3]], 7087/50791587840],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 2353/313528320],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 4087/940584960],
[[[1, 10], [2, 1], [3, 4], [14, 1]], 121/548674560],
[[[1, 10], [2, 1], [3, 4], [18, 1]], 121/705438720],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 1/5971968],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 251/29393280],
[[[1, 10], [2, 1], [3, 5], [6, 2]], 19/67184640],
[[[1, 10], [2, 1], [3, 5], [8, 1]], 1/2239488],
[[[1, 10], [2, 1], [3, 5], [12, 1]], 19/11197440],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 3979/4232632320],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 641/376233984],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 4621/2903040000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 1/752640],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 13/110592000],
[[[1, 10], [2, 1], [5, 2], [6, 3]], 253/235146240000],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 12797/1016064000],
[[[1, 10], [2, 1], [5, 2], [9, 1]], 113/72576000],
[[[1, 10], [2, 1], [5, 2], [14, 1]], 253/2540160000],
[[[1, 10], [2, 1], [5, 2], [18, 1]], 253/3265920000],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 1/3538944],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 91/53084160],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 241033/3483648000],
[[[1, 10], [2, 3], [3, 2], [6, 4]], 19/1881169920],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 811/111476736],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 5197/2116316160],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 124319/4389396480],
[[[1, 10], [2, 3], [3, 3], [9, 1]], 24779/1881169920],
[[[1, 10], [2, 3], [3, 3], [14, 1]], 241/91445760],
[[[1, 10], [2, 3], [3, 3], [18, 1]], 241/117573120],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 41813/2149908480],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 4163/111974400],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 92423/4232632320],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 61/9953280],
[[[1, 10], [2, 3], [3, 4], [10, 1]], 4909/2351462400],
[[[1, 10], [2, 3], [3, 4], [12, 1]], 119/22394880],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 4789/268738560],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 2711/104509440],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 146323/8709120000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 1429/1238630400],
[[[1, 10], [2, 3], [4, 2], [10, 2]], 1/9289728000],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 13/4423680],
[[[1, 10], [2, 3], [4, 3], [9, 1]], 1/3317760],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 13/14745600],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 5/7077888],
[[[1, 10], [2, 3], [5, 1], [10, 2]], 13/5806080000],
[[[1, 10], [2, 3], [5, 2], [6, 2]], 3877/9797760000],
[[[1, 10], [2, 3], [5, 2], [8, 1]], 19/2867200],
[[[1, 10], [2, 3], [5, 2], [10, 1]], 81307/43545600000],
[[[1, 10], [2, 3], [6, 3], [7, 1]], 17/4389396480],
[[[1, 10], [2, 3], [7, 1], [9, 1]], 1/544320],
[[[1, 10], [2, 3], [7, 1], [14, 1]], 17/47416320],
[[[1, 10], [2, 3], [7, 1], [18, 1]], 17/60963840],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 28901/2229534720],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 95903/2903040000],
[[[1, 10], [2, 5], [3, 1], [6, 4]], 479/45148078080],
[[[1, 10], [2, 5], [3, 1], [10, 2]], 1/829440000],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 110611/2229534720],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 5087/1504935936],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 24811/1219276800],
[[[1, 10], [2, 5], [3, 2], [9, 1]], 7517/1045094400],
[[[1, 10], [2, 5], [3, 2], [14, 1]], 83/23224320],
[[[1, 10], [2, 5], [3, 2], [18, 1]], 83/29859840],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 23927/334430208],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 289063/8957952000],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 269467/5643509760],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 523/59719680],
[[[1, 10], [2, 5], [3, 3], [10, 1]], 137/19595520],
[[[1, 10], [2, 5], [3, 3], [12, 1]], 121/39813120],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 76361/2149908480],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 3685403/84652646400],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 210689/4644864000],
[[[1, 10], [2, 5], [4, 1], [6, 4]], 1/30098718720],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 11/4587520],
[[[1, 10], [2, 5], [4, 1], [10, 2]], 13/4644864000],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 1031/60197437440],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 36797/1300561920],
[[[1, 10], [2, 5], [4, 2], [9, 1]], 11/1990656],
[[[1, 10], [2, 5], [4, 2], [14, 1]], 253/159252480],
[[[1, 10], [2, 5], [4, 2], [18, 1]], 113/92897280],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 53597/1857945600],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 67/836075520],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 840901/44590694400],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 67/232243200],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 17/8847360],
[[[1, 10], [2, 5], [5, 1], [6, 3]], 29/1791590400],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 1927/145152000],
[[[1, 10], [2, 5], [5, 1], [9, 1]], 101/41472000],
[[[1, 10], [2, 5], [5, 1], [14, 1]], 29/19353600],
[[[1, 10], [2, 5], [5, 1], [18, 1]], 29/24883200],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 345041/97977600000],
[[[1, 10], [2, 5], [6, 1], [10, 2]], 1/2985984000],
[[[1, 10], [2, 5], [6, 2], [7, 1]], 353/731566080],
[[[1, 10], [2, 5], [6, 2], [14, 1]], 1/3511517184],
[[[1, 10], [2, 5], [6, 2], [18, 1]], 1/3762339840],
[[[1, 10], [2, 5], [6, 3], [10, 1]], 1/12541132800],
[[[1, 10], [2, 5], [7, 1], [8, 1]], 61/15482880],
[[[1, 10], [2, 5], [7, 1], [10, 1]], 353/203212800],
[[[1, 10], [2, 5], [10, 1], [14, 1]], 1/1625702400],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 14401/318504960],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 250601/300987187200],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 112494587/27653197824000],
[[[1, 10], [2, 7], [3, 1], [9, 1]], 11361617/11851370496000],
[[[1, 10], [2, 7], [3, 1], [14, 1]], 829/696729600],
[[[1, 10], [2, 7], [3, 1], [18, 1]], 1/1166400],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 16187/318504960],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 22328623/2633637888000],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 3684533/200658124800],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 91/26542080],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 449/99532800],
[[[1, 10], [2, 7], [3, 2], [12, 1]], 1/2211840],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 1132597/60197437440],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 1298593/64497254400],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 1/38707200],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 23903/2786918400],
[[[1, 10], [2, 7], [4, 1], [9, 1]], 61/39813120],
[[[1, 10], [2, 7], [4, 1], [14, 1]], 67147/39016857600],
[[[1, 10], [2, 7], [4, 1], [18, 1]], 59/49766400],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 47251/1327104000],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 16841/10032906240],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 2552479/133772083200],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 55393/9289728000],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 130159/13377208320],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 1099/1492992000],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 31/12288000],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 87229/29859840000],
[[[1, 10], [2, 7], [6, 1], [7, 1]], 1307/914457600],
[[[1, 10], [2, 7], [6, 1], [14, 1]], 1151/70230343680],
[[[1, 10], [2, 7], [6, 1], [18, 1]], 379/30098718720],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 457/50164531200],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 19847599/1685528248320],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 5348551/7023034368000],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 9078113/4213820620800],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 7/17694720],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 3337/3317760000],
[[[1, 10], [2, 9], [3, 1], [12, 1]], 1/35389440],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 63134669/16855282483200],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 32630909/8427641241600],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 50065039/14046068736000],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 41779/40131624960],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 12990097/6019743744000],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 130297/55738368000],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 1121257/175575859200],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 1247/1492992000],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 1/17694720],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 76831/501645312000],
[[[1, 10], [2, 9], [6, 1], [12, 1]], 49/1061683200],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 177431/263363788800],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 301790863/505658474496000],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 97049249/84276412416000],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 19/106168320],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 31663/1492992000],
[[[1, 11], [2, 2], [3, 2], [6, 4]], 31/84652646400],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 1/1720320],
[[[1, 11], [2, 2], [3, 3], [6, 3]], 797/8465264640],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 16343/2194698240],
[[[1, 11], [2, 2], [3, 3], [9, 1]], 641/209018880],
[[[1, 11], [2, 2], [3, 3], [14, 1]], 11/36578304],
[[[1, 11], [2, 2], [3, 3], [18, 1]], 11/47029248],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 31933/15049359360],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 42359/3135283200],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 3227/2015539200],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 1717/1254113280],
[[[1, 11], [2, 2], [3, 4], [10, 1]], 121/783820800],
[[[1, 11], [2, 2], [3, 4], [12, 1]], 241/156764160],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 2011/501645312],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 2299/470292480],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 61013/46448640000],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 11/412876800],
[[[1, 11], [2, 2], [4, 3], [7, 1]], 1/4423680],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 1/17694720],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 1/35389440],
[[[1, 11], [2, 2], [5, 2], [6, 2]], 253/13063680000],
[[[1, 11], [2, 2], [5, 2], [8, 1]], 2669/2903040000],
[[[1, 11], [2, 2], [5, 2], [10, 1]], 8357/87091200000],
[[[1, 11], [2, 2], [6, 3], [7, 1]], 1/4115059200],
[[[1, 11], [2, 2], [7, 1], [9, 1]], 17/60963840],
[[[1, 11], [2, 2], [7, 1], [14, 1]], 1/44452800],
[[[1, 11], [2, 2], [7, 1], [18, 1]], 1/57153600],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 1427/743178240],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 75473/3483648000],
[[[1, 11], [2, 4], [3, 1], [6, 4]], 43/32248627200],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 135001/12541132800],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 6019/16124313600],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 33317/2926264320],
[[[1, 11], [2, 4], [3, 2], [9, 1]], 1207/313528320],
[[[1, 11], [2, 4], [3, 2], [14, 1]], 509/487710720],
[[[1, 11], [2, 4], [3, 2], [18, 1]], 509/627056640],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 170621/6688604160],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 4355/167215104],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 619961/56435097600],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 179/34836480],
[[[1, 11], [2, 4], [3, 3], [10, 1]], 1501/783820800],
[[[1, 11], [2, 4], [3, 3], [12, 1]], 83/39813120],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 53471/2508226560],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 11933/564350976],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 48161/2488320000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 103/265420800],
[[[1, 11], [2, 4], [4, 1], [10, 2]], 1/27869184000],
[[[1, 11], [2, 4], [4, 2], [6, 3]], 233/150493593600],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 132443/19508428800],
[[[1, 11], [2, 4], [4, 2], [9, 1]], 113/92897280],
[[[1, 11], [2, 4], [4, 2], [14, 1]], 89/619315200],
[[[1, 11], [2, 4], [4, 2], [18, 1]], 233/2090188800],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 35501/6967296000],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 1/13377208320],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 667/278691840],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 1/3715891200],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 1/8847360],
[[[1, 11], [2, 4], [5, 1], [6, 3]], 1/278691840],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 709/116121600],
[[[1, 11], [2, 4], [5, 1], [9, 1]], 29/24883200],
[[[1, 11], [2, 4], [5, 1], [14, 1]], 1/3010560],
[[[1, 11], [2, 4], [5, 1], [18, 1]], 1/3870720],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 24449/26127360000],
[[[1, 11], [2, 4], [6, 2], [7, 1]], 781/10973491200],
[[[1, 11], [2, 4], [7, 1], [8, 1]], 43/36126720],
[[[1, 11], [2, 4], [7, 1], [10, 1]], 781/3048192000],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 8087/371589120],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 62077/300987187200],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 3603889/877879296000],
[[[1, 11], [2, 6], [3, 1], [9, 1]], 402109/376233984000],
[[[1, 11], [2, 6], [3, 1], [14, 1]], 353/541900800],
[[[1, 11], [2, 6], [3, 1], [18, 1]], 263/522547200],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 4621/119439360],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 546823/41803776000],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 71844587/9029615616000],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 17/4423680],
[[[1, 11], [2, 6], [3, 2], [10, 1]], 2869/1045094400],
[[[1, 11], [2, 6], [3, 2], [12, 1]], 1/1555200],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 579599/25082265600],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 8421071/451480780800],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 79/12899450880],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 37507/6502809600],
[[[1, 11], [2, 6], [4, 1], [9, 1]], 59/49766400],
[[[1, 11], [2, 6], [4, 1], [14, 1]], 13159/23410114560],
[[[1, 11], [2, 6], [4, 1], [18, 1]], 1/2322432],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 11269/516096000],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 63769/200658124800],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 113041/14863564800],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 21233/18579456000],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 38803/13377208320],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 109/348364800],
[[[1, 11], [2, 6], [5, 1], [8, 1]], 7/3456000],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 39967/33443020800],
[[[1, 11], [2, 6], [6, 1], [7, 1]], 37579/54867456000],
[[[1, 11], [2, 6], [6, 1], [14, 1]], 1/2167603200],
[[[1, 11], [2, 6], [6, 1], [18, 1]], 17/25082265600],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 1/7166361600],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 1926137/133772083200],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 652637263/316036546560000],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 7066933/6019743744000],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 109/132710400],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 443/464486400],
[[[1, 11], [2, 8], [3, 1], [12, 1]], 49/1061683200],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 747115757/94810963968000],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 494094053/94810963968000],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 125438951/26336378880000],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 434327/1203948748800],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 41650883/21069103104000],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 141761/111476736000],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 1545113/501645312000],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 4799/6967296000],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 23593/501645312000],
[[[1, 11], [2, 8], [6, 1], [12, 1]], 13/265420800],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 97049249/84276412416000],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 301790863/505658474496000],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 177431/263363788800],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 43/580608000],
[[[1, 11], [3, 1], [5, 2], [6, 2]], 253/26127360000],
[[[1, 11], [3, 1], [5, 2], [12, 1]], 253/4354560000],
[[[1, 11], [3, 1], [7, 1], [9, 1]], 167/1828915200],
[[[1, 11], [3, 2], [4, 2], [7, 1]], 37/487710720],
[[[1, 11], [3, 2], [4, 2], [9, 1]], 1/104509440],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 1873/1016064000],
[[[1, 11], [3, 2], [5, 1], [9, 1]], 659/1306368000],
[[[1, 11], [3, 2], [6, 2], [7, 1]], 121/10973491200],
[[[1, 11], [3, 2], [6, 2], [9, 1]], 1/4702924800],
[[[1, 11], [3, 2], [7, 1], [12, 1]], 121/1828915200],
[[[1, 11], [3, 2], [9, 1], [12, 1]], 1/783820800],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 17/149299200],
[[[1, 11], [3, 3], [5, 1], [6, 2]], 11/261273600],
[[[1, 11], [3, 3], [5, 1], [12, 1]], 11/43545600],
[[[1, 11], [3, 4], [4, 1], [8, 1]], 121/1254113280],
[[[1, 11], [4, 1], [5, 2], [8, 1]], 253/5806080000],
[[[1, 11], [4, 2], [5, 1], [7, 1]], 1/19353600],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 32239/11612160000],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 23/501645312],
[[[1, 12], [2, 1], [3, 3], [6, 3]], 1301/380936908800],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 110497/131681894400],
[[[1, 12], [2, 1], [3, 3], [9, 1]], 1159/3762339840],
[[[1, 12], [2, 1], [3, 3], [14, 1]], 13/1175731200],
[[[1, 12], [2, 1], [3, 3], [18, 1]], 13/1511654400],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 653/10032906240],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 20437/10077696000],
[[[1, 12], [2, 1], [3, 4], [6, 2]], 11/376233984],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 121/1254113280],
[[[1, 12], [2, 1], [3, 4], [12, 1]], 11/62705664],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 14183/48372940800],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 1073/3527193600],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 487/11612160000],
[[[1, 12], [2, 1], [4, 2], [8, 2]], 1/1857945600],
[[[1, 12], [2, 1], [4, 3], [7, 1]], 1/92897280],
[[[1, 12], [2, 1], [5, 2], [8, 1]], 253/5806080000],
[[[1, 12], [2, 1], [5, 2], [10, 1]], 1/1935360000],
[[[1, 12], [2, 1], [6, 3], [7, 1]], 1/197522841600],
[[[1, 12], [2, 1], [7, 1], [9, 1]], 1/57153600],
[[[1, 12], [2, 1], [7, 1], [14, 1]], 1/2133734400],
[[[1, 12], [2, 1], [7, 1], [18, 1]], 1/2743372800],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 41/247726080],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 180829/26127360000],
[[[1, 12], [2, 3], [3, 1], [6, 4]], 17/225740390400],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 23707/22295347200],
[[[1, 12], [2, 3], [3, 2], [6, 3]], 487/24186470400],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 33793/10973491200],
[[[1, 12], [2, 3], [3, 2], [9, 1]], 9341/9405849600],
[[[1, 12], [2, 3], [3, 2], [14, 1]], 209/1463132160],
[[[1, 12], [2, 3], [3, 2], [18, 1]], 209/1881169920],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 1801291/451480780800],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 121741/12541132800],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 580729/507915878400],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 179/139345920],
[[[1, 12], [2, 3], [3, 3], [10, 1]], 1879/8817984000],
[[[1, 12], [2, 3], [3, 3], [12, 1]], 509/836075520],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 21263/3762339840],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 65801/14108774400],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 556037/139345920000],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 47/1857945600],
[[[1, 12], [2, 3], [4, 2], [6, 3]], 1/20065812480],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 88261/117050572800],
[[[1, 12], [2, 3], [4, 2], [9, 1]], 233/2090188800],
[[[1, 12], [2, 3], [4, 2], [14, 1]], 1/216760320],
[[[1, 12], [2, 3], [4, 2], [18, 1]], 1/278691840],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 299/688128000],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 521/3715891200],
[[[1, 12], [2, 3], [5, 1], [6, 3]], 73/188116992000],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 71/50803200],
[[[1, 12], [2, 3], [5, 1], [9, 1]], 1/3870720],
[[[1, 12], [2, 3], [5, 1], [14, 1]], 73/2032128000],
[[[1, 12], [2, 3], [5, 1], [18, 1]], 73/2612736000],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 487/4354560000],
[[[1, 12], [2, 3], [6, 2], [7, 1]], 29/6584094720],
[[[1, 12], [2, 3], [7, 1], [8, 1]], 271/1625702400],
[[[1, 12], [2, 3], [7, 1], [10, 1]], 29/1828915200],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 87751/16721510400],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 319/12039487488],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 59557/29262643200],
[[[1, 12], [2, 5], [3, 1], [9, 1]], 7111/12541132800],
[[[1, 12], [2, 5], [3, 1], [14, 1]], 1/5419008],
[[[1, 12], [2, 5], [3, 1], [18, 1]], 1/6967296],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 158779/11147673600],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 388907/41803776000],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 205693/112870195200],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 563/278691840],
[[[1, 12], [2, 5], [3, 2], [10, 1]], 479/627056640],
[[[1, 12], [2, 5], [3, 2], [12, 1]], 263/696729600],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 195407/15049359360],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 171936053/20316635136000],
[[[1, 12], [2, 5], [4, 1], [6, 3]], 61/56435097600],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 263/132710400],
[[[1, 12], [2, 5], [4, 1], [9, 1]], 1/2322432],
[[[1, 12], [2, 5], [4, 1], [14, 1]], 1303/13005619200],
[[[1, 12], [2, 5], [4, 1], [18, 1]], 61/783820800],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 64879/9289728000],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 11329/401316249600],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 35867/22295347200],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 11329/111476736000],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 11527/22295347200],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 1049/15676416000],
[[[1, 12], [2, 5], [5, 1], [8, 1]], 31/38707200],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 419501/1672151040000],
[[[1, 12], [2, 5], [6, 1], [7, 1]], 55373/329204736000],
[[[1, 12], [2, 5], [6, 1], [14, 1]], 1/234101145600],
[[[1, 12], [2, 5], [6, 1], [18, 1]], 1/100329062400],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 23833/2477260800],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 199581373/79009136640000],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 701899/1504935936000],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 79/103219200],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 2311/4644864000],
[[[1, 12], [2, 7], [3, 1], [12, 1]], 13/265420800],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 23881849/3009871872000],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 71563901/18059231232000],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 3184717/836075520000],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 2773/24078974976],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 251263/222953472000],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 19/45875200],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 479113/401316249600],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 60667/156764160000],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 1369/66886041600],
[[[1, 12], [2, 7], [6, 1], [12, 1]], 563/22295347200],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 408630373/252829237248000],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 58468489/101131694899200],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 314029/752467968000],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 17/2229534720],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 23111/20901888000],
[[[1, 13], [2, 2], [3, 1], [6, 4]], 1/677221171200],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 241/4180377600],
[[[1, 13], [2, 2], [3, 2], [6, 3]], 131/169305292800],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 4049/9754214400],
[[[1, 13], [2, 2], [3, 2], [9, 1]], 2383/18811699200],
[[[1, 13], [2, 2], [3, 2], [14, 1]], 13/1463132160],
[[[1, 13], [2, 2], [3, 2], [18, 1]], 13/1881169920],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 75797/300987187200],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 8303/4702924800],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 8149/169305292800],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 1283/9405849600],
[[[1, 13], [2, 2], [3, 3], [10, 1]], 13/1679616000],
[[[1, 13], [2, 2], [3, 3], [12, 1]], 209/2508226560],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 99761/150493593600],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 7729/16930529280],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 26599/69672960000],
[[[1, 13], [2, 2], [4, 1], [8, 2]], 1/1857945600],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 443/13005619200],
[[[1, 13], [2, 2], [4, 2], [9, 1]], 1/278691840],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 17/774144000],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 139/44590694400],
[[[1, 13], [2, 2], [5, 1], [6, 3]], 11/564350976000],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 1301/8128512000],
[[[1, 13], [2, 2], [5, 1], [9, 1]], 73/2612736000],
[[[1, 13], [2, 2], [5, 1], [14, 1]], 11/6096384000],
[[[1, 13], [2, 2], [5, 1], [18, 1]], 11/7838208000],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 253/52254720000],
[[[1, 13], [2, 2], [6, 2], [7, 1]], 1/10973491200],
[[[1, 13], [2, 2], [7, 1], [8, 1]], 1/99532800],
[[[1, 13], [2, 2], [7, 1], [10, 1]], 1/3048192000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 128479/200658124800],
[[[1, 13], [2, 4], [3, 1], [6, 3]], 563/338610585600],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 375661/702303436800],
[[[1, 13], [2, 4], [3, 1], [9, 1]], 6619/42998169600],
[[[1, 13], [2, 4], [3, 1], [14, 1]], 101/3657830400],
[[[1, 13], [2, 4], [3, 1], [18, 1]], 101/4702924800],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 353417/133772083200],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 427487/125411328000],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 48007/225740390400],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 31/59719680],
[[[1, 13], [2, 4], [3, 2], [10, 1]], 1/9797760],
[[[1, 13], [2, 4], [3, 2], [12, 1]], 1/9289728],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 22973/6270566400],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 5321347/2708884684800],
[[[1, 13], [2, 4], [4, 1], [6, 3]], 1/10032906240],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 42151/117050572800],
[[[1, 13], [2, 4], [4, 1], [9, 1]], 61/783820800],
[[[1, 13], [2, 4], [4, 1], [14, 1]], 1/108380160],
[[[1, 13], [2, 4], [4, 1], [18, 1]], 1/139345920],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 389321/334430208000],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 1/1114767360],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 3851/22295347200],
[[[1, 13], [2, 4], [4, 2], [10, 1]], 1/309657600],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 481/11147673600],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 167/23514624000],
[[[1, 13], [2, 4], [5, 1], [8, 1]], 187/1161216000],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 14729/557383680000],
[[[1, 13], [2, 4], [6, 1], [7, 1]], 13/627056640],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 140257/40131624960],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 995321/627056640000],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 215147/2006581248000],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 169/464486400],
[[[1, 13], [2, 6], [3, 1], [10, 1]], 1063/7838208000],
[[[1, 13], [2, 6], [3, 1], [12, 1]], 563/22295347200],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 413831/100329062400],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 14858807/9029615616000],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 15671/9289728000],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 767/38220595200],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 67309/191102976000],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 767/10616832000],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 7703/26754416640],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 115723/940584960000],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 3103/557383680000],
[[[1, 13], [2, 6], [6, 1], [12, 1]], 1163/167215104000],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 72787181/54177693696000],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 565068463/1516975423488000],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 1513/7644119040],
[[[1, 13], [3, 1], [4, 2], [7, 1]], 121/58525286400],
[[[1, 13], [3, 1], [4, 2], [9, 1]], 1/25082265600],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 109/2438553600],
[[[1, 13], [3, 1], [5, 1], [9, 1]], 113/15676416000],
[[[1, 13], [3, 1], [6, 2], [7, 1]], 1/21946982400],
[[[1, 13], [3, 1], [7, 1], [12, 1]], 1/3657830400],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 11/1393459200],
[[[1, 13], [3, 2], [5, 1], [6, 2]], 13/15676416000],
[[[1, 13], [3, 2], [5, 1], [12, 1]], 13/2612736000],
[[[1, 13], [3, 3], [4, 1], [8, 1]], 13/2687385600],
[[[1, 13], [4, 1], [7, 1], [8, 1]], 1/4877107200],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 13/155520000],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 451/200658124800],
[[[1, 14], [2, 1], [3, 2], [6, 3]], 11/711082229760],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 577/21946982400],
[[[1, 14], [2, 1], [3, 2], [9, 1]], 71/9405849600],
[[[1, 14], [2, 1], [3, 2], [14, 1]], 31/153628876800],
[[[1, 14], [2, 1], [3, 2], [18, 1]], 31/197522841600],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 229/37623398400],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 12109/80621568000],
[[[1, 14], [2, 1], [3, 3], [6, 2]], 13/15049359360],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 13/2687385600],
[[[1, 14], [2, 1], [3, 3], [12, 1]], 13/2508226560],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 1063/38698352640],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 6103/395045683200],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 5659/418037760000],
[[[1, 14], [2, 1], [4, 2], [7, 1]], 17/39016857600],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 43/55738368000],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 1/44590694400],
[[[1, 14], [2, 1], [5, 1], [6, 3]], 1/2821754880000],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 11/1306368000],
[[[1, 14], [2, 1], [5, 1], [9, 1]], 11/7838208000],
[[[1, 14], [2, 1], [5, 1], [14, 1]], 1/30481920000],
[[[1, 14], [2, 1], [5, 1], [18, 1]], 1/39191040000],
[[[1, 14], [2, 1], [7, 1], [8, 1]], 1/4877107200],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 59/1486356480],
[[[1, 14], [2, 3], [3, 1], [6, 3]], 17/338610585600],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 13501/175575859200],
[[[1, 14], [2, 3], [3, 1], [9, 1]], 241/10749542400],
[[[1, 14], [2, 3], [3, 1], [14, 1]], 1/457228800],
[[[1, 14], [2, 3], [3, 1], [18, 1]], 1/587865600],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 1017161/4213820620800],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 169559/250822656000],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 463609/37924385587200],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 37/557383680],
[[[1, 14], [2, 3], [3, 2], [10, 1]], 2063/329204736000],
[[[1, 14], [2, 3], [3, 2], [12, 1]], 101/6270566400],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 120067/225740390400],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 30181/128994508800],
[[[1, 14], [2, 3], [4, 1], [6, 3]], 1/225740390400],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 4019/117050572800],
[[[1, 14], [2, 3], [4, 1], [9, 1]], 1/139345920],
[[[1, 14], [2, 3], [4, 1], [14, 1]], 1/2438553600],
[[[1, 14], [2, 3], [4, 1], [18, 1]], 1/3135283200],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 80273/836075520000],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 1231/133772083200],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 1/743178240],
[[[1, 14], [2, 3], [5, 1], [6, 2]], 83/235146240000],
[[[1, 14], [2, 3], [5, 1], [8, 1]], 23/1393459200],
[[[1, 14], [2, 3], [5, 1], [10, 1]], 1829/1393459200000],
[[[1, 14], [2, 3], [6, 1], [7, 1]], 17/14631321600],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 3781/5350883328],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 2791121/5016453120000],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 123647/9029615616000],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 97/1045094400],
[[[1, 14], [2, 5], [3, 1], [10, 1]], 311/15676416000],
[[[1, 14], [2, 5], [3, 1], [12, 1]], 1163/167215104000],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 2842183/2407897497600],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 144189923/379243855872000],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 40337/95551488000],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 137/75246796800],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 26861/445906944000],
[[[1, 14], [2, 5], [4, 1], [10, 1]], 137/20901888000],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 881/22295347200],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 25247/1175731200000],
[[[1, 14], [2, 5], [6, 1], [10, 1]], 73/83607552000],
[[[1, 14], [2, 5], [6, 1], [12, 1]], 73/66886041600],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 153959/240789749760],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 10246703/72236924928000],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 699169/12039487488000],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 19/13377208320],
[[[1, 15], [2, 2], [3, 1], [6, 3]], 11/11851370496000],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 697/117050572800],
[[[1, 15], [2, 2], [3, 1], [9, 1]], 263/150493593600],
[[[1, 15], [2, 2], [3, 1], [14, 1]], 11/128024064000],
[[[1, 15], [2, 2], [3, 1], [18, 1]], 11/164602368000],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 3461/351151718400],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 18121/250822656000],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 4633/12641461862400],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 349/87787929600],
[[[1, 15], [2, 2], [3, 2], [10, 1]], 31/219469824000],
[[[1, 15], [2, 2], [3, 2], [12, 1]], 1/783820800],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 4927/131681894400],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 1260167/94810963968000],
[[[1, 15], [2, 2], [4, 1], [6, 3]], 1/13544423424000],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 37/23410114560],
[[[1, 15], [2, 2], [4, 1], [9, 1]], 1/3135283200],
[[[1, 15], [2, 2], [4, 1], [14, 1]], 1/146313216000],
[[[1, 15], [2, 2], [4, 1], [18, 1]], 1/188116992000],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 1417/418037760000],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 157/668860416000],
[[[1, 15], [2, 2], [5, 1], [6, 2]], 1/156764160000],
[[[1, 15], [2, 2], [5, 1], [8, 1]], 1/1244160000],
[[[1, 15], [2, 2], [5, 1], [10, 1]], 13/541900800000],
[[[1, 15], [2, 2], [6, 1], [7, 1]], 1/43893964800],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 13757/173408256000],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 113801/1003290624000],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 122819/126414618624000],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 109/8360755200],
[[[1, 15], [2, 4], [3, 1], [10, 1]], 851/548674560000],
[[[1, 15], [2, 4], [3, 1], [12, 1]], 73/66886041600],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 268717/1404606873600],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 311051/6320730931200],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 5599/92897280000],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 181/2257403904000],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 379/66886041600],
[[[1, 15], [2, 4], [4, 1], [10, 1]], 181/627056640000],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 29/9555148800],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 1261/627056640000],
[[[1, 15], [2, 4], [6, 1], [10, 1]], 1/12541132800],
[[[1, 15], [2, 4], [6, 1], [12, 1]], 1/10032906240],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 3209/17836277760],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 80643959/2528292372480000],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 925787/90296156160000],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 13/83607552000],
[[[1, 15], [3, 1], [5, 1], [6, 2]], 1/313528320000],
[[[1, 15], [3, 1], [5, 1], [12, 1]], 1/52254720000],
[[[1, 15], [3, 2], [4, 1], [8, 1]], 31/351151718400],
[[[1, 15], [4, 1], [5, 1], [8, 1]], 1/69672960000],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 1/28665446400],
[[[1, 16], [2, 1], [3, 1], [6, 3]], 1/71108222976000],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 1409/6145155072000],
[[[1, 16], [2, 1], [3, 1], [9, 1]], 179/2633637888000],
[[[1, 16], [2, 1], [3, 1], [14, 1]], 1/768144384000],
[[[1, 16], [2, 1], [3, 1], [18, 1]], 1/987614208000],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 1/5780275200],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 101417/26336378880000],
[[[1, 16], [2, 1], [3, 2], [6, 2]], 11/1316818944000],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 31/351151718400],
[[[1, 16], [2, 1], [3, 2], [12, 1]], 11/219469824000],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 94601/94810963968000],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 2977/10534551552000],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 47/1755758592000],
[[[1, 16], [2, 1], [4, 1], [9, 1]], 1/188116992000],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 29/836075520000],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 1/334430208000],
[[[1, 16], [2, 1], [5, 1], [8, 1]], 1/69672960000],
[[[1, 16], [2, 1], [5, 1], [10, 1]], 1/105345515520000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 199/42138206208],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 33989/2508226560000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 3797/94810963968000],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 97/97542144000],
[[[1, 16], [2, 3], [3, 1], [10, 1]], 199/3292047360000],
[[[1, 16], [2, 3], [3, 1], [12, 1]], 1/10032906240],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 729301/42138206208000],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 4639/1337720832000],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 7999/1672151040000],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 1/752467968000],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 599/2080899072000],
[[[1, 16], [2, 3], [4, 1], [10, 1]], 1/209018880000],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 61/501645312000],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 29/313528320000],
[[[1, 16], [2, 3], [6, 1], [10, 1]], 73/17557585920000],
[[[1, 16], [2, 3], [6, 1], [12, 1]], 73/14046068736000],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 2583299/84276412416000],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 32361737/7584877117440000],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 6647/6019743744000],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 281/2106910310400],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 101/109734912000],
[[[1, 17], [2, 2], [3, 1], [6, 2]], 283/252829237248000],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 67/1755758592000],
[[[1, 17], [2, 2], [3, 1], [10, 1]], 1/1097349120000],
[[[1, 17], [2, 2], [3, 1], [12, 1]], 73/14046068736000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 1133/1404606873600],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 5129/42138206208000],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 3383/17557585920000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 23/3009871872000],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 1/501645312000],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 1/627056640000],
[[[1, 17], [2, 2], [6, 1], [10, 1]], 1/8778792960000],
[[[1, 17], [2, 2], [6, 1], [12, 1]], 1/7023034368000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 88819/28092137472000],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 8479/25282923724800],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 229/3121348608000],
[[[1, 17], [3, 1], [4, 1], [8, 1]], 1/1755758592000],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 23/14046068736000],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 10249/316036546560000],
[[[1, 18], [2, 1], [3, 1], [6, 2]], 1/42138206208000],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 1/1755758592000],
[[[1, 18], [2, 1], [3, 1], [12, 1]], 1/7023034368000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 11359/758487711744000],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 2047/1264146186240000],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 631/210691031040000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 1/8778792960000],
[[[1, 18], [2, 1], [6, 1], [10, 1]], 1/790091366400000],
[[[1, 18], [2, 1], [6, 1], [12, 1]], 1/632073093120000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 1787/9364045824000],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 1499/101131694899200],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 253/84276412416000],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 1291/210691031040000],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 179/541776936960000],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 13/180592312320000],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 151/1896219279360000],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/361184624640000],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/1264146186240000],
[[[2, 3], [3, 2], [6, 1], [10, 4]], 1/720000],
[[[2, 3], [3, 2], [6, 3], [14, 2]], 1/127008],
[[[2, 3], [3, 2], [6, 3], [18, 2]], 1/23328],
[[[2, 3], [4, 1], [8, 1], [10, 4]], 1/160000],
[[[2, 3], [5, 2], [6, 1], [10, 3]], 1/6000],
[[[2, 3], [5, 2], [6, 3], [10, 2]], 1/259200],
[[[2, 3], [5, 2], [10, 2], [14, 1]], 1/2800],
[[[2, 3], [5, 2], [10, 2], [18, 1]], 1/3600],
[[[2, 3], [6, 1], [10, 2], [14, 2]], 1/14700],
[[[2, 3], [6, 1], [10, 2], [18, 2]], 1/8100],
[[[2, 3], [6, 1], [10, 4], [12, 1]], 1/120000],
[[[2, 3], [6, 2], [10, 3], [14, 1]], 1/31500],
[[[2, 3], [6, 2], [10, 3], [18, 1]], 1/13500],
[[[2, 3], [6, 2], [14, 1], [18, 2]], 5/6804],
[[[2, 3], [6, 2], [14, 2], [18, 1]], 1/2268],
[[[2, 3], [6, 3], [10, 1], [14, 2]], 1/26460],
[[[2, 3], [6, 3], [10, 1], [18, 2]], 1/4860],
[[[2, 3], [6, 3], [12, 1], [14, 2]], 1/21168],
[[[2, 3], [6, 3], [12, 1], [18, 2]], 1/3888],
[[[2, 3], [6, 4], [10, 2], [14, 1]], 1/1360800],
[[[2, 3], [6, 4], [10, 2], [18, 1]], 1/583200],
[[[2, 3], [6, 5], [14, 1], [18, 1]], 1/244944],
[[[2, 5], [3, 2], [6, 2], [10, 3]], 1/216000],
[[[2, 5], [3, 2], [6, 2], [14, 2]], 1/127008],
[[[2, 5], [3, 2], [6, 4], [10, 2]], 1/1166400],
[[[2, 5], [3, 2], [6, 5], [14, 1]], 1/489888],
[[[2, 5], [3, 2], [6, 5], [18, 1]], 1/209952],
[[[2, 5], [4, 2], [5, 2], [10, 2]], 1/153600],
[[[2, 5], [4, 2], [6, 2], [14, 2]], 1/677376],
[[[2, 5], [4, 2], [6, 2], [18, 2]], 1/124416],
[[[2, 5], [5, 2], [6, 2], [10, 2]], 1/43200],
[[[2, 5], [6, 1], [10, 3], [14, 1]], 1/12600],
[[[2, 5], [6, 1], [10, 3], [18, 1]], 1/13500],
[[[2, 5], [6, 1], [14, 1], [18, 2]], 1/6804],
[[[2, 5], [6, 1], [14, 2], [18, 1]], 1/3969],
[[[2, 5], [6, 2], [10, 1], [14, 2]], 1/5880],
[[[2, 5], [6, 2], [10, 1], [18, 2]], 1/3240],
[[[2, 5], [6, 2], [10, 3], [12, 1]], 1/36000],
[[[2, 5], [6, 2], [12, 1], [14, 2]], 1/21168],
[[[2, 5], [6, 3], [10, 2], [14, 1]], 181/2721600],
[[[2, 5], [6, 3], [10, 2], [18, 1]], 41/291600],
[[[2, 5], [6, 4], [10, 2], [12, 1]], 1/194400],
[[[2, 5], [6, 4], [14, 1], [18, 1]], 5/54432],
[[[2, 5], [6, 5], [10, 1], [14, 1]], 1/90720],
[[[2, 5], [6, 5], [10, 1], [18, 1]], 1/38880],
[[[2, 5], [6, 5], [12, 1], [14, 1]], 1/81648],
[[[2, 5], [6, 5], [12, 1], [18, 1]], 1/34992],
[[[2, 5], [10, 2], [14, 1], [18, 1]], 1/37800],
[[[2, 7], [3, 2], [6, 1], [10, 3]], 1/4320000],
[[[2, 7], [3, 2], [6, 1], [14, 2]], 1/508032],
[[[2, 7], [3, 2], [6, 3], [10, 2]], 13/3110400],
[[[2, 7], [3, 2], [6, 4], [14, 1]], 1/559872],
[[[2, 7], [3, 2], [6, 4], [18, 1]], 1/559872],
[[[2, 7], [3, 2], [6, 5], [10, 1]], 1/699840],
[[[2, 7], [4, 1], [6, 6], [8, 1]], 1/1679616],
[[[2, 7], [4, 1], [8, 1], [10, 3]], 1/960000],
[[[2, 7], [4, 1], [8, 1], [14, 2]], 1/112896],
[[[2, 7], [4, 2], [6, 1], [10, 3]], 1/1152000],
[[[2, 7], [4, 2], [6, 1], [14, 2]], 1/677376],
[[[2, 7], [4, 2], [6, 3], [10, 2]], 1/6220800],
[[[2, 7], [4, 2], [6, 4], [14, 1]], 1/2612736],
[[[2, 7], [4, 2], [6, 4], [18, 1]], 1/1119744],
[[[2, 7], [4, 2], [10, 2], [14, 1]], 1/1612800],
[[[2, 7], [5, 2], [6, 1], [10, 2]], 1/864000],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 1/11025],
[[[2, 7], [6, 1], [10, 1], [18, 2]], 1/97200],
[[[2, 7], [6, 1], [10, 3], [12, 1]], 1/720000],
[[[2, 7], [6, 1], [12, 1], [14, 2]], 1/84672],
[[[2, 7], [6, 2], [10, 2], [14, 1]], 229/2268000],
[[[2, 7], [6, 2], [10, 2], [18, 1]], 11/108000],
[[[2, 7], [6, 3], [10, 2], [12, 1]], 13/518400],
[[[2, 7], [6, 3], [14, 1], [18, 1]], 113/2449440],
[[[2, 7], [6, 4], [10, 1], [14, 1]], 197/5443200],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 341/6998400],
[[[2, 7], [6, 4], [12, 1], [14, 1]], 1/93312],
[[[2, 7], [6, 4], [12, 1], [18, 1]], 1/93312],
[[[2, 7], [6, 5], [10, 1], [12, 1]], 1/116640],
[[[2, 9], [3, 2], [6, 2], [10, 2]], 43/108864000],
[[[2, 9], [3, 2], [6, 3], [14, 1]], 37/91445760],
[[[2, 9], [3, 2], [6, 3], [18, 1]], 1/19595520],
[[[2, 9], [3, 2], [6, 4], [10, 1]], 17/27993600],
[[[2, 9], [4, 1], [6, 5], [8, 1]], 1/2239488],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 13/16588800],
[[[2, 9], [4, 2], [6, 3], [14, 1]], 1/2985984],
[[[2, 9], [4, 2], [6, 3], [18, 1]], 1/2985984],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 1/3732480],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 12221/609638400],
[[[2, 9], [6, 1], [10, 2], [18, 1]], 8161/1306368000],
[[[2, 9], [6, 2], [10, 2], [12, 1]], 43/18144000],
[[[2, 9], [6, 2], [14, 1], [18, 1]], 49/11197440],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 1289/76204800],
[[[2, 9], [6, 3], [10, 1], [18, 1]], 17/1530900],
[[[2, 9], [6, 3], [12, 1], [14, 1]], 37/15240960],
[[[2, 9], [6, 3], [12, 1], [18, 1]], 1/3265920],
[[[2, 9], [6, 4], [10, 1], [12, 1]], 17/4665600],
[[[2, 9], [10, 1], [14, 1], [18, 1]], 1/453600],
[[[2, 11], [3, 2], [6, 1], [10, 2]], 253/26127360000],
[[[2, 11], [3, 2], [6, 2], [14, 1]], 121/10973491200],
[[[2, 11], [3, 2], [6, 2], [18, 1]], 1/4702924800],
[[[2, 11], [3, 2], [6, 3], [10, 1]], 11/261273600],
[[[2, 11], [4, 1], [6, 4], [8, 1]], 121/1254113280],
[[[2, 11], [4, 1], [8, 1], [10, 2]], 253/5806080000],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 43/580608000],
[[[2, 11], [4, 2], [6, 2], [14, 1]], 37/487710720],
[[[2, 11], [4, 2], [6, 2], [18, 1]], 1/104509440],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 17/149299200],
[[[2, 11], [4, 2], [10, 1], [14, 1]], 1/19353600],
[[[2, 11], [6, 1], [10, 2], [12, 1]], 253/4354560000],
[[[2, 11], [6, 1], [14, 1], [18, 1]], 167/1828915200],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 1873/1016064000],
[[[2, 11], [6, 2], [10, 1], [18, 1]], 659/1306368000],
[[[2, 11], [6, 2], [12, 1], [14, 1]], 121/1828915200],
[[[2, 11], [6, 2], [12, 1], [18, 1]], 1/783820800],
[[[2, 11], [6, 3], [10, 1], [12, 1]], 11/43545600],
[[[2, 13], [3, 2], [6, 1], [14, 1]], 1/21946982400],
[[[2, 13], [3, 2], [6, 2], [10, 1]], 13/15676416000],
[[[2, 13], [4, 1], [6, 3], [8, 1]], 13/2687385600],
[[[2, 13], [4, 1], [8, 1], [14, 1]], 1/4877107200],
[[[2, 13], [4, 2], [6, 1], [14, 1]], 121/58525286400],
[[[2, 13], [4, 2], [6, 1], [18, 1]], 1/25082265600],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 11/1393459200],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 109/2438553600],
[[[2, 13], [6, 1], [10, 1], [18, 1]], 113/15676416000],
[[[2, 13], [6, 1], [12, 1], [14, 1]], 1/3657830400],
[[[2, 13], [6, 2], [10, 1], [12, 1]], 13/2612736000],
[[[2, 15], [3, 2], [6, 1], [10, 1]], 1/313528320000],
[[[2, 15], [4, 1], [6, 2], [8, 1]], 31/351151718400],
[[[2, 15], [4, 1], [8, 1], [10, 1]], 1/69672960000],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 13/83607552000],
[[[2, 15], [6, 1], [10, 1], [12, 1]], 1/52254720000],
[[[2, 17], [4, 1], [6, 1], [8, 1]], 1/1755758592000],
[[[1, 1], [2, 2], [3, 1], [5, 1], [10, 4]], 1/150000],
[[[1, 1], [2, 2], [3, 1], [5, 3], [10, 2]], 1/6000],
[[[1, 1], [2, 2], [3, 1], [6, 2], [10, 4]], 1/720000],
[[[1, 1], [2, 2], [3, 1], [6, 4], [14, 2]], 1/127008],
[[[1, 1], [2, 2], [3, 1], [6, 4], [18, 2]], 1/23328],
[[[1, 1], [2, 2], [3, 1], [10, 4], [12, 1]], 1/120000],
[[[1, 1], [2, 2], [3, 3], [5, 2], [10, 2]], 1/259200],
[[[1, 1], [2, 2], [3, 3], [6, 2], [14, 2]], 1/1143072],
[[[1, 1], [2, 2], [3, 3], [6, 2], [18, 2]], 1/209952],
[[[1, 1], [2, 2], [4, 1], [8, 1], [10, 4]], 1/160000],
[[[1, 1], [2, 2], [5, 1], [6, 1], [10, 4]], 1/15000],
[[[1, 1], [2, 2], [5, 1], [6, 3], [10, 3]], 1/648000],
[[[1, 1], [2, 2], [5, 1], [10, 3], [14, 1]], 1/7000],
[[[1, 1], [2, 2], [5, 1], [10, 3], [18, 1]], 1/9000],
[[[1, 1], [2, 2], [5, 2], [7, 1], [10, 2]], 1/2800],
[[[1, 1], [2, 2], [5, 2], [9, 1], [10, 2]], 1/3600],
[[[1, 1], [2, 2], [5, 3], [6, 1], [10, 2]], 1/15000],
[[[1, 1], [2, 2], [5, 3], [6, 3], [10, 1]], 1/648000],
[[[1, 1], [2, 2], [5, 3], [10, 1], [14, 1]], 1/7000],
[[[1, 1], [2, 2], [5, 3], [10, 1], [18, 1]], 1/9000],
[[[1, 1], [2, 2], [6, 2], [7, 1], [14, 2]], 1/12348],
[[[1, 1], [2, 2], [6, 2], [7, 1], [18, 2]], 1/2268],
[[[1, 1], [2, 2], [6, 2], [9, 1], [14, 2]], 1/15876],
[[[1, 1], [2, 2], [6, 2], [9, 1], [18, 2]], 1/2916],
[[[1, 1], [2, 4], [3, 1], [4, 1], [10, 4]], 1/240000],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 4]], 1/90000],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 3]], 1/24000],
[[[1, 1], [2, 4], [3, 1], [6, 3], [14, 2]], 11/42336],
[[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/1458],
[[[1, 1], [2, 4], [3, 1], [6, 5], [10, 2]], 1/583200],
[[[1, 1], [2, 4], [3, 1], [6, 6], [14, 1]], 1/244944],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 1/104976],
[[[1, 1], [2, 4], [3, 2], [6, 2], [10, 3]], 1/216000],
[[[1, 1], [2, 4], [3, 2], [6, 2], [14, 2]], 1/42336],
[[[1, 1], [2, 4], [3, 3], [6, 1], [10, 3]], 1/1944000],
[[[1, 1], [2, 4], [3, 3], [6, 1], [14, 2]], 1/1143072],
[[[1, 1], [2, 4], [3, 3], [6, 3], [10, 2]], 41/5248800],
[[[1, 1], [2, 4], [3, 3], [6, 4], [14, 1]], 41/2204496],
[[[1, 1], [2, 4], [3, 3], [6, 4], [18, 1]], 41/944784],
[[[1, 1], [2, 4], [3, 3], [10, 2], [14, 1]], 1/2721600],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 4]], 3/80000],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 3]], 13/1296000],
[[[1, 1], [2, 4], [4, 1], [6, 3], [14, 2]], 1/14112],
[[[1, 1], [2, 4], [4, 1], [6, 3], [18, 2]], 5/23328],
[[[1, 1], [2, 4], [4, 1], [6, 5], [10, 2]], 1/4665600],
[[[1, 1], [2, 4], [4, 1], [6, 6], [14, 1]], 1/1959552],
[[[1, 1], [2, 4], [4, 1], [6, 6], [18, 1]], 1/839808],
[[[1, 1], [2, 4], [4, 1], [10, 3], [14, 1]], 1/14000],
[[[1, 1], [2, 4], [4, 1], [10, 3], [18, 1]], 1/18000],
[[[1, 1], [2, 4], [4, 2], [5, 1], [10, 3]], 1/384000],
[[[1, 1], [2, 4], [4, 2], [5, 2], [10, 2]], 1/51200],
[[[1, 1], [2, 4], [4, 2], [5, 3], [10, 1]], 1/384000],
[[[1, 1], [2, 4], [4, 2], [6, 2], [14, 2]], 1/225792],
[[[1, 1], [2, 4], [4, 2], [6, 2], [18, 2]], 1/41472],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 3]], 1/32000],
[[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 1/25600],
[[[1, 1], [2, 4], [5, 1], [6, 2], [10, 3]], 13/108000],
[[[1, 1], [2, 4], [5, 1], [6, 4], [10, 2]], 1/43200],
[[[1, 1], [2, 4], [5, 1], [6, 6], [10, 1]], 1/2099520],
[[[1, 1], [2, 4], [5, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 1], [2, 4], [5, 2], [6, 2], [10, 2]], 1/14400],
[[[1, 1], [2, 4], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 1], [2, 4], [5, 3], [6, 2], [10, 1]], 1/108000],
[[[1, 1], [2, 4], [6, 1], [7, 1], [10, 3]], 1/21000],
[[[1, 1], [2, 4], [6, 1], [7, 1], [14, 2]], 1/12348],
[[[1, 1], [2, 4], [6, 1], [9, 1], [10, 3]], 1/27000],
[[[1, 1], [2, 4], [6, 1], [9, 1], [14, 2]], 1/15876],
[[[1, 1], [2, 4], [6, 1], [10, 3], [14, 1]], 1/7000],
[[[1, 1], [2, 4], [6, 1], [10, 3], [18, 1]], 1/6750],
[[[1, 1], [2, 4], [6, 1], [14, 1], [18, 2]], 1/2268],
[[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/1323],
[[[1, 1], [2, 4], [6, 2], [8, 1], [14, 2]], 1/28224],
[[[1, 1], [2, 4], [6, 2], [8, 1], [18, 2]], 1/5184],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 2]], 1/3528],
[[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 1/1944],
[[[1, 1], [2, 4], [6, 2], [10, 3], [12, 1]], 1/36000],
[[[1, 1], [2, 4], [6, 2], [12, 1], [14, 2]], 1/7056],
[[[1, 1], [2, 4], [6, 3], [7, 1], [10, 2]], 1/113400],
[[[1, 1], [2, 4], [6, 3], [9, 1], [10, 2]], 1/145800],
[[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 61/907200],
[[[1, 1], [2, 4], [6, 3], [10, 2], [18, 1]], 1/6480],
[[[1, 1], [2, 4], [6, 4], [7, 1], [14, 1]], 1/47628],
[[[1, 1], [2, 4], [6, 4], [7, 1], [18, 1]], 1/20412],
[[[1, 1], [2, 4], [6, 4], [9, 1], [14, 1]], 1/61236],
[[[1, 1], [2, 4], [6, 4], [9, 1], [18, 1]], 1/26244],
[[[1, 1], [2, 4], [6, 4], [14, 1], [18, 1]], 13/163296],
[[[1, 1], [2, 4], [6, 5], [10, 1], [14, 1]], 1/816480],
[[[1, 1], [2, 4], [6, 5], [10, 1], [18, 1]], 1/349920],
[[[1, 1], [2, 4], [7, 1], [10, 2], [14, 1]], 1/29400],
[[[1, 1], [2, 4], [9, 1], [10, 2], [14, 1]], 1/37800],
[[[1, 1], [2, 4], [10, 2], [14, 1], [18, 1]], 1/12600],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 6]], 1/1574640],
[[[1, 1], [2, 6], [3, 1], [5, 1], [10, 3]], 1/900000],
[[[1, 1], [2, 6], [3, 1], [5, 1], [14, 2]], 1/105840],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 29/480000],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 31/169344],
[[[1, 1], [2, 6], [3, 1], [6, 2], [18, 2]], 1/23328],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 91/1166400],
[[[1, 1], [2, 6], [3, 1], [6, 5], [14, 1]], 55/979776],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 37/419904],
[[[1, 1], [2, 6], [3, 1], [6, 6], [10, 1]], 1/69984],
[[[1, 1], [2, 6], [3, 1], [6, 6], [12, 1]], 19/1259712],
[[[1, 1], [2, 6], [3, 1], [10, 3], [12, 1]], 1/720000],
[[[1, 1], [2, 6], [3, 1], [12, 1], [14, 2]], 1/84672],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 6]], 1/1679616],
[[[1, 1], [2, 6], [3, 2], [6, 1], [10, 3]], 1/432000],
[[[1, 1], [2, 6], [3, 2], [6, 1], [14, 2]], 1/84672],
[[[1, 1], [2, 6], [3, 2], [6, 3], [10, 2]], 1/103680],
[[[1, 1], [2, 6], [3, 2], [6, 4], [14, 1]], 5/653184],
[[[1, 1], [2, 6], [3, 2], [6, 4], [18, 1]], 1/93312],
[[[1, 1], [2, 6], [3, 2], [6, 5], [10, 1]], 1/699840],
[[[1, 1], [2, 6], [3, 3], [6, 2], [10, 2]], 1/699840],
[[[1, 1], [2, 6], [3, 3], [6, 3], [14, 1]], 103/8817984],
[[[1, 1], [2, 6], [3, 3], [6, 3], [18, 1]], 7/1259712],
[[[1, 1], [2, 6], [3, 3], [6, 4], [10, 1]], 41/3149280],
[[[1, 1], [2, 6], [4, 1], [5, 2], [10, 2]], 1/76800],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 19/216000],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 11/112896],
[[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 19/186624],
[[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 29/933120],
[[[1, 1], [2, 6], [4, 1], [6, 5], [14, 1]], 1/62208],
[[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 23/839808],
[[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 1/1119744],
[[[1, 1], [2, 6], [4, 1], [6, 6], [10, 1]], 29/8398080],
[[[1, 1], [2, 6], [4, 1], [6, 6], [12, 1]], 1/279936],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 31/960000],
[[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 19/112896],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 1/288000],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/112896],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 1/82944],
[[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 1/2073600],
[[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1/870912],
[[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 1/373248],
[[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 1/373248],
[[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1/21504],
[[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/268800],
[[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 1/2764800],
[[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/1161216],
[[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 1/497664],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 1/614400],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 3]], 133/2160000],
[[[1, 1], [2, 6], [5, 1], [6, 3], [10, 2]], 29/864000],
[[[1, 1], [2, 6], [5, 1], [6, 5], [10, 1]], 17/5598720],
[[[1, 1], [2, 6], [5, 1], [10, 2], [14, 1]], 13/252000],
[[[1, 1], [2, 6], [5, 1], [10, 2], [18, 1]], 1/108000],
[[[1, 1], [2, 6], [5, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 6], [5, 3], [6, 1], [10, 1]], 1/2160000],
[[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 1/48000],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/28224],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/2205],
[[[1, 1], [2, 6], [6, 1], [10, 1], [18, 2]], 1/9720],
[[[1, 1], [2, 6], [6, 1], [10, 3], [12, 1]], 1/72000],
[[[1, 1], [2, 6], [6, 1], [12, 1], [14, 2]], 1/14112],
[[[1, 1], [2, 6], [6, 2], [7, 1], [10, 2]], 13/302400],
[[[1, 1], [2, 6], [6, 2], [9, 1], [10, 2]], 13/388800],
[[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 107/302400],
[[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 17/43200],
[[[1, 1], [2, 6], [6, 3], [7, 1], [14, 1]], 1/54432],
[[[1, 1], [2, 6], [6, 3], [7, 1], [18, 1]], 1/54432],
[[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 1/259200],
[[[1, 1], [2, 6], [6, 3], [9, 1], [14, 1]], 1/69984],
[[[1, 1], [2, 6], [6, 3], [9, 1], [18, 1]], 1/69984],
[[[1, 1], [2, 6], [6, 3], [10, 2], [12, 1]], 1/17280],
[[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 43/163296],
[[[1, 1], [2, 6], [6, 4], [7, 1], [10, 1]], 1/68040],
[[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 1/108864],
[[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/46656],
[[[1, 1], [2, 6], [6, 4], [9, 1], [10, 1]], 1/87480],
[[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 23/233280],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 13/77760],
[[[1, 1], [2, 6], [6, 4], [12, 1], [14, 1]], 5/108864],
[[[1, 1], [2, 6], [6, 4], [12, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 6], [6, 5], [10, 1], [12, 1]], 1/116640],
[[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 1/67200],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/2519424],
[[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/1440000],
[[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/169344],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/2239488],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 5]], 1/2099520],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/240000],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/36288],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 8317/108864000],
[[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 4847/137168640],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1697/58786560],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 113/3499200],
[[[1, 1], [2, 8], [3, 1], [6, 5], [12, 1]], 13/1679616],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 5]], 11/13436928],
[[[1, 1], [2, 8], [3, 2], [6, 2], [10, 2]], 23/5184000],
[[[1, 1], [2, 8], [3, 2], [6, 3], [14, 1]], 17/4354560],
[[[1, 1], [2, 8], [3, 2], [6, 3], [18, 1]], 1/933120],
[[[1, 1], [2, 8], [3, 2], [6, 4], [10, 1]], 5/1119744],
[[[1, 1], [2, 8], [3, 3], [6, 1], [10, 2]], 43/979776000],
[[[1, 1], [2, 8], [3, 3], [6, 2], [14, 1]], 491/411505920],
[[[1, 1], [2, 8], [3, 3], [6, 2], [18, 1]], 1/176359680],
[[[1, 1], [2, 8], [3, 3], [6, 3], [10, 1]], 73/31492800],
[[[1, 1], [2, 8], [3, 3], [10, 1], [14, 1]], 1/32659200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 329/8640000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 19/564480],
[[[1, 1], [2, 8], [4, 1], [6, 1], [18, 2]], 1/466560],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 10249/186624000],
[[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 73/3732480],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 713/33592320],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 5/995328],
[[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 383/27993600],
[[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 11/2239488],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 37/1344000],
[[[1, 1], [2, 8], [4, 1], [10, 2], [18, 1]], 13/2592000],
[[[1, 1], [2, 8], [4, 2], [5, 1], [10, 2]], 1/4608000],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 1/221184],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 23/5529600],
[[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 17/6967296],
[[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 1/331776],
[[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 11/2985984],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/933120],
[[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 13/4608000],
[[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/307200],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 7/2764800],
[[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/774144],
[[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 1/497664],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/1990656],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/995328],
[[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/516096],
[[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/645120],
[[[1, 1], [2, 8], [5, 1], [6, 2], [10, 2]], 17/3024000],
[[[1, 1], [2, 8], [5, 1], [6, 4], [10, 1]], 239/195955200],
[[[1, 1], [2, 8], [6, 1], [7, 1], [10, 2]], 43/10584000],
[[[1, 1], [2, 8], [6, 1], [9, 1], [10, 2]], 43/13608000],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 1207/6912000],
[[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 523/6912000],
[[[1, 1], [2, 8], [6, 2], [7, 1], [14, 1]], 37/8890560],
[[[1, 1], [2, 8], [6, 2], [7, 1], [18, 1]], 1/1905120],
[[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 13/691200],
[[[1, 1], [2, 8], [6, 2], [9, 1], [14, 1]], 37/11430720],
[[[1, 1], [2, 8], [6, 2], [9, 1], [18, 1]], 1/2449440],
[[[1, 1], [2, 8], [6, 2], [10, 2], [12, 1]], 23/864000],
[[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 31/580608],
[[[1, 1], [2, 8], [6, 3], [7, 1], [10, 1]], 17/2721600],
[[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 1/124416],
[[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 1/124416],
[[[1, 1], [2, 8], [6, 3], [9, 1], [10, 1]], 17/3499200],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 619/4665600],
[[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 73/699840],
[[[1, 1], [2, 8], [6, 3], [12, 1], [14, 1]], 17/725760],
[[[1, 1], [2, 8], [6, 3], [12, 1], [18, 1]], 1/155520],
[[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[1, 1], [2, 8], [6, 4], [10, 1], [12, 1]], 5/186624],
[[[1, 1], [2, 8], [7, 1], [10, 1], [14, 1]], 1/352800],
[[[1, 1], [2, 8], [9, 1], [10, 1], [14, 1]], 1/453600],
[[[1, 1], [2, 8], [10, 1], [14, 1], [18, 1]], 13/453600],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/3359232],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/4478976],
[[[1, 1], [2, 10], [3, 1], [5, 1], [6, 4]], 121/1175731200],
[[[1, 1], [2, 10], [3, 1], [5, 1], [10, 2]], 253/5443200000],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 234863/26127360000],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 63731/10973491200],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1133/671846400],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 2029/195955200],
[[[1, 1], [2, 10], [3, 1], [6, 4], [12, 1]], 179/188116992],
[[[1, 1], [2, 10], [3, 1], [10, 2], [12, 1]], 253/4354560000],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 4]], 23/94058496],
[[[1, 1], [2, 10], [3, 2], [6, 1], [10, 2]], 113/580608000],
[[[1, 1], [2, 10], [3, 2], [6, 2], [14, 1]], 13/48771072],
[[[1, 1], [2, 10], [3, 2], [6, 2], [18, 1]], 1/104509440],
[[[1, 1], [2, 10], [3, 2], [6, 3], [10, 1]], 1/1306368],
[[[1, 1], [2, 10], [3, 3], [6, 1], [14, 1]], 121/98761420800],
[[[1, 1], [2, 10], [3, 3], [6, 1], [18, 1]], 1/42326323200],
[[[1, 1], [2, 10], [3, 3], [6, 2], [10, 1]], 1/11757312],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 155917/10450944000],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 27401/4389396480],
[[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 11/3317760],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 11/5160960],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 1331/156764160],
[[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 23/15676416],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 30841/11612160000],
[[[1, 1], [2, 10], [4, 1], [14, 1], [18, 1]], 1/2177280],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 1/7741440],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 17/16128000],
[[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 13/13547520],
[[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 1/4354560],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 23/20901888],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 11/9331200],
[[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 1/3870720],
[[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1/1209600],
[[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/2211840],
[[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 1/19906560],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 1/5308416],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 13/16588800],
[[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/7372800],
[[[1, 1], [2, 10], [5, 1], [6, 1], [10, 2]], 73/483840000],
[[[1, 1], [2, 10], [5, 1], [6, 3], [10, 1]], 3971/47029248000],
[[[1, 1], [2, 10], [5, 1], [10, 1], [14, 1]], 17/6096384000],
[[[1, 1], [2, 10], [5, 1], [10, 1], [18, 1]], 1/653184000],
[[[1, 1], [2, 10], [6, 1], [7, 1], [14, 1]], 121/1066867200],
[[[1, 1], [2, 10], [6, 1], [7, 1], [18, 1]], 1/457228800],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 43/24192000],
[[[1, 1], [2, 10], [6, 1], [9, 1], [14, 1]], 121/1371686400],
[[[1, 1], [2, 10], [6, 1], [9, 1], [18, 1]], 1/587865600],
[[[1, 1], [2, 10], [6, 1], [10, 2], [12, 1]], 113/96768000],
[[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 419/182891520],
[[[1, 1], [2, 10], [6, 2], [7, 1], [10, 1]], 11/25401600],
[[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 37/20321280],
[[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 1/4354560],
[[[1, 1], [2, 10], [6, 2], [9, 1], [10, 1]], 11/32659200],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 12967/457228800],
[[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 2011/195955200],
[[[1, 1], [2, 10], [6, 2], [12, 1], [14, 1]], 13/8128512],
[[[1, 1], [2, 10], [6, 2], [12, 1], [18, 1]], 1/17418240],
[[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 17/6220800],
[[[1, 1], [2, 10], [6, 3], [10, 1], [12, 1]], 1/217728],
[[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/806400],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 121/1881169920],
[[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 253/8709120000],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 43/1672151040],
[[[1, 1], [2, 12], [3, 1], [5, 1], [6, 3]], 13/2519424000],
[[[1, 1], [2, 12], [3, 1], [5, 1], [14, 1]], 1/4572288000],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 28261/104509440000],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 7067/43893964800],
[[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 533/18811699200],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 12727/15676416000],
[[[1, 1], [2, 12], [3, 1], [6, 3], [12, 1]], 37/1410877440],
[[[1, 1], [2, 12], [3, 1], [12, 1], [14, 1]], 1/3657830400],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 3]], 451/37623398400],
[[[1, 1], [2, 12], [3, 2], [6, 1], [14, 1]], 1/457228800],
[[[1, 1], [2, 12], [3, 2], [6, 2], [10, 1]], 209/7838208000],
[[[1, 1], [2, 12], [3, 3], [6, 1], [10, 1]], 13/141087744000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 44537/52254720000],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 2083/4877107200],
[[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 1177/9405849600],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 949/5016453120],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 30911/23514624000],
[[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 451/6270566400],
[[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 23/1950842880],
[[[1, 1], [2, 12], [4, 1], [8, 1], [18, 1]], 1/1045094400],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 3461/12192768000],
[[[1, 1], [2, 12], [4, 1], [10, 1], [18, 1]], 43/1306368000],
[[[1, 1], [2, 12], [4, 2], [5, 1], [10, 1]], 1/27869184000],
[[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 137/2438553600],
[[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 1/522547200],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 451/8360755200],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 233/1393459200],
[[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 43/2322432000],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/185794560],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 23/464486400],
[[[1, 1], [2, 12], [5, 1], [6, 2], [10, 1]], 109/62705664000],
[[[1, 1], [2, 12], [6, 1], [7, 1], [10, 1]], 13/1524096000],
[[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 121/2438553600],
[[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 1/1045094400],
[[[1, 1], [2, 12], [6, 1], [9, 1], [10, 1]], 13/1959552000],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 46871/36578304000],
[[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 181/746496000],
[[[1, 1], [2, 12], [6, 1], [12, 1], [14, 1]], 1/76204800],
[[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 11/58060800],
[[[1, 1], [2, 12], [6, 2], [10, 1], [12, 1]], 209/1306368000],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 13/4031078400],
[[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/7315660800],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 31/50164531200],
[[[1, 1], [2, 14], [3, 1], [5, 1], [6, 2]], 31/329204736000],
[[[1, 1], [2, 14], [3, 1], [5, 1], [10, 1]], 1/65318400000],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/1791590400],
[[[1, 1], [2, 14], [3, 1], [6, 1], [18, 1]], 1/9405849600],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 341/19595520000],
[[[1, 1], [2, 14], [3, 1], [6, 2], [12, 1]], 13/65840947200],
[[[1, 1], [2, 14], [3, 1], [10, 1], [12, 1]], 1/52254720000],
[[[1, 1], [2, 14], [3, 2], [4, 1], [6, 2]], 1/5374771200],
[[[1, 1], [2, 14], [3, 2], [6, 1], [10, 1]], 11/62705664000],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 481/58525286400],
[[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 17/10749542400],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 79/15606743040],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 3743/62705664000],
[[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 1/895795200],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 157/139345920000],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 1/1194393600],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 457/83607552000],
[[[1, 1], [2, 14], [5, 1], [6, 1], [10, 1]], 19/2194698240000],
[[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 13/3483648000],
[[[1, 1], [2, 14], [6, 1], [10, 1], [12, 1]], 11/10450944000],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 31/526727577600],
[[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/104509440000],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/401316249600],
[[[1, 1], [2, 16], [3, 1], [5, 1], [6, 1]], 1/1646023680000],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 11/179159040000],
[[[1, 1], [2, 16], [3, 1], [6, 1], [12, 1]], 1/1316818944000],
[[[1, 1], [2, 16], [3, 2], [4, 1], [6, 1]], 1/1504935936000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 17/390168576000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 8081/8778792960000],
[[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 1/250822656000],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 1/2633637888000],
[[[1, 2], [2, 1], [3, 1], [5, 2], [10, 3]], 1/15000],
[[[1, 2], [2, 1], [3, 1], [5, 4], [10, 1]], 1/15000],
[[[1, 2], [2, 1], [3, 2], [5, 4], [6, 1]], 1/720000],
[[[1, 2], [2, 1], [3, 2], [6, 3], [7, 2]], 1/1143072],
[[[1, 2], [2, 1], [3, 2], [6, 3], [9, 2]], 1/209952],
[[[1, 2], [2, 1], [3, 2], [7, 2], [14, 1]], 1/12348],
[[[1, 2], [2, 1], [3, 2], [7, 2], [18, 1]], 1/15876],
[[[1, 2], [2, 1], [3, 2], [9, 2], [14, 1]], 1/2268],
[[[1, 2], [2, 1], [3, 2], [9, 2], [18, 1]], 1/2916],
[[[1, 2], [2, 1], [3, 3], [5, 1], [10, 3]], 1/648000],
[[[1, 2], [2, 1], [3, 3], [5, 3], [10, 1]], 1/648000],
[[[1, 2], [2, 1], [3, 4], [6, 1], [7, 2]], 1/127008],
[[[1, 2], [2, 1], [3, 4], [6, 1], [9, 2]], 1/23328],
[[[1, 2], [2, 1], [4, 1], [5, 4], [8, 1]], 1/160000],
[[[1, 2], [2, 1], [5, 1], [7, 1], [10, 3]], 1/7000],
[[[1, 2], [2, 1], [5, 1], [9, 1], [10, 3]], 1/9000],
[[[1, 2], [2, 1], [5, 2], [6, 1], [10, 3]], 1/6000],
[[[1, 2], [2, 1], [5, 2], [6, 3], [10, 2]], 1/259200],
[[[1, 2], [2, 1], [5, 2], [10, 2], [14, 1]], 1/2800],
[[[1, 2], [2, 1], [5, 2], [10, 2], [18, 1]], 1/3600],
[[[1, 2], [2, 1], [5, 3], [7, 1], [10, 1]], 1/7000],
[[[1, 2], [2, 1], [5, 3], [9, 1], [10, 1]], 1/9000],
[[[1, 2], [2, 1], [5, 4], [6, 1], [10, 1]], 1/150000],
[[[1, 2], [2, 1], [5, 4], [6, 1], [12, 1]], 1/120000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 4]], 1/240000],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 4]], 1/90000],
[[[1, 2], [2, 3], [3, 1], [6, 3], [10, 3]], 1/216000],
[[[1, 2], [2, 3], [3, 1], [6, 3], [14, 2]], 11/127008],
[[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/2916],
[[[1, 2], [2, 3], [3, 2], [4, 2], [7, 2]], 1/677376],
[[[1, 2], [2, 3], [3, 2], [4, 2], [9, 2]], 1/124416],
[[[1, 2], [2, 3], [3, 2], [5, 2], [10, 2]], 1/14400],
[[[1, 2], [2, 3], [3, 2], [6, 2], [7, 2]], 1/190512],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 2]], 1/34992],
[[[1, 2], [2, 3], [3, 2], [6, 2], [14, 2]], 1/63504],
[[[1, 2], [2, 3], [3, 2], [6, 2], [18, 2]], 1/11664],
[[[1, 2], [2, 3], [3, 2], [6, 4], [10, 2]], 1/129600],
[[[1, 2], [2, 3], [3, 2], [6, 5], [14, 1]], 1/54432],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 1/23328],
[[[1, 2], [2, 3], [3, 2], [7, 2], [10, 1]], 1/52920],
[[[1, 2], [2, 3], [3, 2], [9, 2], [10, 1]], 1/9720],
[[[1, 2], [2, 3], [3, 3], [4, 1], [10, 3]], 1/1296000],
[[[1, 2], [2, 3], [3, 3], [6, 1], [10, 3]], 1/1944000],
[[[1, 2], [2, 3], [3, 3], [6, 1], [14, 2]], 1/381024],
[[[1, 2], [2, 3], [3, 3], [10, 2], [14, 1]], 1/907200],
[[[1, 2], [2, 3], [3, 4], [6, 2], [10, 2]], 1/1166400],
[[[1, 2], [2, 3], [3, 4], [6, 3], [14, 1]], 1/489888],
[[[1, 2], [2, 3], [3, 4], [6, 3], [18, 1]], 1/209952],
[[[1, 2], [2, 3], [4, 1], [6, 1], [10, 4]], 1/240000],
[[[1, 2], [2, 3], [4, 1], [6, 3], [14, 2]], 1/42336],
[[[1, 2], [2, 3], [4, 1], [6, 3], [18, 2]], 1/7776],
[[[1, 2], [2, 3], [4, 1], [7, 1], [10, 3]], 1/14000],
[[[1, 2], [2, 3], [4, 1], [9, 1], [10, 3]], 1/18000],
[[[1, 2], [2, 3], [4, 2], [5, 1], [10, 3]], 1/128000],
[[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 1/25600],
[[[1, 2], [2, 3], [4, 2], [5, 2], [10, 2]], 1/38400],
[[[1, 2], [2, 3], [4, 2], [5, 3], [10, 1]], 1/128000],
[[[1, 2], [2, 3], [4, 2], [6, 2], [14, 2]], 1/225792],
[[[1, 2], [2, 3], [4, 2], [6, 2], [18, 2]], 1/41472],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 3]], 1/32000],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 1/12800],
[[[1, 2], [2, 3], [5, 1], [6, 2], [10, 3]], 1/7200],
[[[1, 2], [2, 3], [5, 1], [6, 2], [14, 2]], 1/17640],
[[[1, 2], [2, 3], [5, 1], [6, 2], [18, 2]], 1/3240],
[[[1, 2], [2, 3], [5, 1], [6, 4], [10, 2]], 1/388800],
[[[1, 2], [2, 3], [5, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 2], [2, 3], [5, 1], [10, 1], [14, 2]], 1/1960],
[[[1, 2], [2, 3], [5, 2], [6, 2], [10, 2]], 1/43200],
[[[1, 2], [2, 3], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 2], [2, 3], [5, 3], [6, 2], [10, 1]], 1/36000],
[[[1, 2], [2, 3], [5, 3], [8, 1], [10, 1]], 1/16000],
[[[1, 2], [2, 3], [6, 1], [7, 1], [10, 3]], 1/21000],
[[[1, 2], [2, 3], [6, 1], [7, 1], [14, 2]], 1/4116],
[[[1, 2], [2, 3], [6, 1], [9, 1], [10, 3]], 1/27000],
[[[1, 2], [2, 3], [6, 1], [9, 1], [14, 2]], 1/5292],
[[[1, 2], [2, 3], [6, 2], [8, 1], [14, 2]], 1/28224],
[[[1, 2], [2, 3], [6, 2], [8, 1], [18, 2]], 1/5184],
[[[1, 2], [2, 3], [7, 1], [10, 2], [14, 1]], 1/9800],
[[[1, 2], [2, 3], [9, 1], [10, 2], [14, 1]], 1/12600],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 7]], 7/5038848],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 3]], 1/48000],
[[[1, 2], [2, 5], [3, 1], [5, 1], [10, 3]], 1/90000],
[[[1, 2], [2, 5], [3, 1], [5, 1], [14, 2]], 1/17640],
[[[1, 2], [2, 5], [3, 1], [5, 2], [10, 2]], 113/1440000],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 23/144000],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 11/15876],
[[[1, 2], [2, 5], [3, 1], [6, 2], [18, 2]], 13/46656],
[[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 11/116640],
[[[1, 2], [2, 5], [3, 1], [6, 5], [7, 1]], 1/40824],
[[[1, 2], [2, 5], [3, 1], [6, 5], [9, 1]], 1/52488],
[[[1, 2], [2, 5], [3, 1], [6, 5], [14, 1]], 1/15309],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 29/209952],
[[[1, 2], [2, 5], [3, 1], [6, 6], [10, 1]], 1/349920],
[[[1, 2], [2, 5], [3, 1], [10, 3], [12, 1]], 1/72000],
[[[1, 2], [2, 5], [3, 1], [12, 1], [14, 2]], 1/14112],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 5]], 1/746496],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 5]], 1/87480],
[[[1, 2], [2, 5], [3, 2], [6, 1], [7, 2]], 1/3810240],
[[[1, 2], [2, 5], [3, 2], [6, 1], [9, 2]], 1/699840],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 11/864000],
[[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 17/508032],
[[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 323/4665600],
[[[1, 2], [2, 5], [3, 2], [6, 4], [14, 1]], 77/279936],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 377/839808],
[[[1, 2], [2, 5], [3, 2], [6, 5], [10, 1]], 1/15552],
[[[1, 2], [2, 5], [3, 2], [6, 5], [12, 1]], 11/139968],
[[[1, 2], [2, 5], [3, 2], [10, 2], [14, 1]], 1/151200],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 5]], 109/15116544],
[[[1, 2], [2, 5], [3, 3], [5, 1], [10, 2]], 1/7776000],
[[[1, 2], [2, 5], [3, 3], [6, 2], [10, 2]], 1/145800],
[[[1, 2], [2, 5], [3, 3], [6, 3], [14, 1]], 31/734832],
[[[1, 2], [2, 5], [3, 3], [6, 3], [18, 1]], 7/209952],
[[[1, 2], [2, 5], [3, 3], [6, 4], [10, 1]], 41/3149280],
[[[1, 2], [2, 5], [3, 4], [4, 2], [6, 3]], 1/165888],
[[[1, 2], [2, 5], [3, 4], [6, 1], [10, 2]], 1/9331200],
[[[1, 2], [2, 5], [3, 4], [6, 2], [14, 1]], 5/3919104],
[[[1, 2], [2, 5], [3, 4], [6, 2], [18, 1]], 1/1679616],
[[[1, 2], [2, 5], [3, 4], [6, 3], [10, 1]], 1/699840],
[[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 17/192000],
[[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 67/384000],
[[[1, 2], [2, 5], [4, 1], [5, 3], [10, 1]], 1/192000],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/7200],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 2]], 37/112896],
[[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 23/62208],
[[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 37/1555200],
[[[1, 2], [2, 5], [4, 1], [6, 5], [7, 1]], 1/163296],
[[[1, 2], [2, 5], [4, 1], [6, 5], [9, 1]], 1/209952],
[[[1, 2], [2, 5], [4, 1], [6, 5], [14, 1]], 23/1306368],
[[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 11/279936],
[[[1, 2], [2, 5], [4, 1], [6, 6], [8, 1]], 1/3359232],
[[[1, 2], [2, 5], [4, 1], [6, 6], [10, 1]], 1/2799360],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 9/64000],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 1/1792],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1/25600],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 1/3920],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 1/12800],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/14112],
[[[1, 2], [2, 5], [4, 2], [6, 1], [18, 2]], 1/10368],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/36864],
[[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 127/4147200],
[[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 13/580608],
[[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 31/746496],
[[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 5/1492992],
[[[1, 2], [2, 5], [4, 2], [6, 5], [10, 1]], 7/1866240],
[[[1, 2], [2, 5], [4, 2], [6, 5], [12, 1]], 1/248832],
[[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 11/21504],
[[[1, 2], [2, 5], [4, 2], [8, 2], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 5], [4, 2], [10, 2], [18, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 1/153600],
[[[1, 2], [2, 5], [4, 3], [5, 2], [8, 1]], 1/614400],
[[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 1/153600],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1/36864],
[[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 1/921600],
[[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 1/387072],
[[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 1/165888],
[[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 1/331776],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 17/307200],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 229/720000],
[[[1, 2], [2, 5], [5, 1], [6, 1], [14, 2]], 1/17640],
[[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 569/3888000],
[[[1, 2], [2, 5], [5, 1], [6, 4], [14, 1]], 1/68040],
[[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 1/29160],
[[[1, 2], [2, 5], [5, 1], [6, 5], [10, 1]], 1/103680],
[[[1, 2], [2, 5], [5, 1], [7, 1], [10, 2]], 11/84000],
[[[1, 2], [2, 5], [5, 1], [9, 1], [10, 2]], 1/108000],
[[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/2625],
[[[1, 2], [2, 5], [5, 1], [10, 2], [18, 1]], 1/10800],
[[[1, 2], [2, 5], [5, 2], [6, 1], [10, 2]], 23/432000],
[[[1, 2], [2, 5], [5, 3], [6, 1], [10, 1]], 1/144000],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/7056],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/1960],
[[[1, 2], [2, 5], [6, 1], [10, 1], [18, 2]], 1/6480],
[[[1, 2], [2, 5], [6, 1], [10, 3], [12, 1]], 1/48000],
[[[1, 2], [2, 5], [6, 1], [12, 1], [14, 2]], 1/9408],
[[[1, 2], [2, 5], [6, 2], [7, 1], [10, 2]], 1/10080],
[[[1, 2], [2, 5], [6, 2], [9, 1], [10, 2]], 1/12960],
[[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/3600],
[[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 11/32400],
[[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 5/63504],
[[[1, 2], [2, 5], [6, 3], [7, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1/259200],
[[[1, 2], [2, 5], [6, 3], [9, 1], [14, 1]], 5/81648],
[[[1, 2], [2, 5], [6, 3], [9, 1], [18, 1]], 1/11664],
[[[1, 2], [2, 5], [6, 3], [10, 2], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 13/54432],
[[[1, 2], [2, 5], [6, 4], [7, 1], [10, 1]], 1/68040],
[[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 1/108864],
[[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/46656],
[[[1, 2], [2, 5], [6, 4], [9, 1], [10, 1]], 1/87480],
[[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 13/362880],
[[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 37/466560],
[[[1, 2], [2, 5], [6, 4], [12, 1], [14, 1]], 1/72576],
[[[1, 2], [2, 5], [6, 4], [12, 1], [18, 1]], 1/31104],
[[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 751/40310784],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 11/1440000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/24192],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 7/2239488],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/746496],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 5]], 1/349920],
[[[1, 2], [2, 7], [3, 1], [5, 2], [7, 1]], 1/3048192000],
[[[1, 2], [2, 7], [3, 1], [5, 2], [9, 1]], 1/1306368000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 47/1080000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 1/4536],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 15557/46656000],
[[[1, 2], [2, 7], [3, 1], [6, 4], [7, 1]], 1/81648],
[[[1, 2], [2, 7], [3, 1], [6, 4], [9, 1]], 1/104976],
[[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 1403/6531840],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1799/8398080],
[[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 1/93312],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 161/1399680],
[[[1, 2], [2, 7], [3, 1], [6, 5], [12, 1]], 13/279936],
[[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/604800],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 23/2239488],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/124416],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 1/884736],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 4]], 1/174960],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 83/3110400],
[[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 527/3919104],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 41/559872],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 1067/6998400],
[[[1, 2], [2, 7], [3, 2], [6, 4], [12, 1]], 13/559872],
[[[1, 2], [2, 7], [3, 2], [7, 1], [9, 1]], 1/548674560],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 4]], 821/120932352],
[[[1, 2], [2, 7], [3, 3], [4, 1], [10, 2]], 13/186624000],
[[[1, 2], [2, 7], [3, 3], [6, 1], [10, 2]], 23/46656000],
[[[1, 2], [2, 7], [3, 3], [6, 2], [14, 1]], 211/19595520],
[[[1, 2], [2, 7], [3, 3], [6, 2], [18, 1]], 1/8398080],
[[[1, 2], [2, 7], [3, 3], [6, 3], [10, 1]], 229/12597120],
[[[1, 2], [2, 7], [3, 3], [10, 1], [14, 1]], 13/32659200],
[[[1, 2], [2, 7], [3, 4], [6, 1], [14, 1]], 1/7838208],
[[[1, 2], [2, 7], [3, 4], [6, 2], [10, 1]], 7/27993600],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 281/1440000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 13/56448],
[[[1, 2], [2, 7], [4, 1], [6, 1], [18, 2]], 1/31104],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 1/82944],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 2773/12441600],
[[[1, 2], [2, 7], [4, 1], [6, 4], [7, 1]], 11/1306368],
[[[1, 2], [2, 7], [4, 1], [6, 4], [9, 1]], 11/1679616],
[[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 509/5225472],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 277/2239488],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 131/8957952],
[[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/23328],
[[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 7/373248],
[[[1, 2], [2, 7], [4, 1], [7, 1], [10, 2]], 13/2016000],
[[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 1/21504],
[[[1, 2], [2, 7], [4, 1], [9, 1], [10, 2]], 13/2592000],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1/5040],
[[[1, 2], [2, 7], [4, 1], [10, 2], [18, 1]], 1/19200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 133/4608000],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 151/1382400],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 61/1161216],
[[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 17/248832],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 91/2985984],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 247/7464960],
[[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 1/82944],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 403/4608000],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 1/9600],
[[[1, 2], [2, 7], [4, 2], [14, 1], [18, 1]], 1/48384],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 1/36864],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/92160],
[[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/129024],
[[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 1/82944],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 11/995328],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/276480],
[[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 13/516096],
[[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/491520],
[[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 1/1032192],
[[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 1/442368],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 1/884736],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/1105920],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 1/245760],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 119/1296000],
[[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/77760],
[[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 1/77760],
[[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 23/1036800],
[[[1, 2], [2, 7], [5, 1], [8, 1], [10, 2]], 1/192000],
[[[1, 2], [2, 7], [6, 1], [7, 1], [10, 2]], 23/504000],
[[[1, 2], [2, 7], [6, 1], [9, 1], [10, 2]], 23/648000],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1409/3225600],
[[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 931/4147200],
[[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 17/423360],
[[[1, 2], [2, 7], [6, 2], [7, 1], [18, 1]], 1/90720],
[[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 43/691200],
[[[1, 2], [2, 7], [6, 2], [9, 1], [14, 1]], 17/544320],
[[[1, 2], [2, 7], [6, 2], [9, 1], [18, 1]], 1/116640],
[[[1, 2], [2, 7], [6, 2], [10, 2], [12, 1]], 11/172800],
[[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 113/580608],
[[[1, 2], [2, 7], [6, 3], [7, 1], [10, 1]], 5/108864],
[[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 37/870912],
[[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 7/124416],
[[[1, 2], [2, 7], [6, 3], [9, 1], [10, 1]], 5/139968],
[[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 193/725760],
[[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 59/233280],
[[[1, 2], [2, 7], [6, 3], [12, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [6, 3], [12, 1], [18, 1]], 1/31104],
[[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 1/77760],
[[[1, 2], [2, 7], [6, 4], [10, 1], [12, 1]], 11/311040],
[[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 13/352800],
[[[1, 2], [2, 7], [9, 1], [10, 1], [14, 1]], 13/453600],
[[[1, 2], [2, 7], [10, 1], [14, 1], [18, 1]], 1/10080],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 853/47029248],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 5/1119744],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 13/6912000],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 5/3981312],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 4]], 19/13996800],
[[[1, 2], [2, 9], [3, 1], [5, 1], [10, 2]], 113/120960000],
[[[1, 2], [2, 9], [3, 1], [5, 2], [10, 1]], 1/483840000],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 61807/580608000],
[[[1, 2], [2, 9], [3, 1], [6, 3], [7, 1]], 43/30481920],
[[[1, 2], [2, 9], [3, 1], [6, 3], [9, 1]], 43/39191040],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 156439/2194698240],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 3007/104509440],
[[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/186624],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 1961/19595520],
[[[1, 2], [2, 9], [3, 1], [6, 4], [12, 1]], 29/2239488],
[[[1, 2], [2, 9], [3, 1], [10, 2], [12, 1]], 113/96768000],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 133/22394880],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 11/6635520],
[[[1, 2], [2, 9], [3, 2], [5, 1], [6, 3]], 43/65318400],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 1801/870912000],
[[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 4979/365783040],
[[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 247/156764160],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 3421/111974400],
[[[1, 2], [2, 9], [3, 2], [6, 3], [12, 1]], 191/104509440],
[[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/1814400],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 3]], 257/302330880],
[[[1, 2], [2, 9], [3, 3], [4, 1], [14, 1]], 1/156764160],
[[[1, 2], [2, 9], [3, 3], [5, 1], [10, 1]], 1/47029248000],
[[[1, 2], [2, 9], [3, 3], [6, 1], [14, 1]], 13/438939648],
[[[1, 2], [2, 9], [3, 3], [6, 1], [18, 1]], 1/940584960],
[[[1, 2], [2, 9], [3, 3], [6, 2], [10, 1]], 403/293932800],
[[[1, 2], [2, 9], [3, 4], [6, 1], [10, 1]], 1/111974400],
[[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 589/580608000],
[[[1, 2], [2, 9], [4, 1], [5, 2], [8, 1]], 1/2322432000],
[[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 1/580608000],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 1/221184],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 31799/232243200],
[[[1, 2], [2, 9], [4, 1], [6, 3], [7, 1]], 23/9144576],
[[[1, 2], [2, 9], [4, 1], [6, 3], [9, 1]], 23/11757312],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 94001/1463132160],
[[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 25513/627056640],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 11293/627056640],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 641/9331200],
[[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 53/3732480],
[[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 1/1693440],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 39227/1161216000],
[[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 1/307200],
[[[1, 2], [2, 9], [4, 1], [9, 1], [14, 1]], 1/2177280],
[[[1, 2], [2, 9], [4, 1], [14, 1], [18, 1]], 1/120960],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/258048],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 29/860160],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 1403/54190080],
[[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 101/6967296],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 8363/418037760],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 1259/37324800],
[[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 19/3317760],
[[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 2], [2, 9], [4, 2], [8, 1], [18, 1]], 1/829440],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 109/6451200],
[[[1, 2], [2, 9], [4, 2], [10, 1], [18, 1]], 1/414720],
[[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 1/22118400],
[[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 11/2580480],
[[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 1/1105920],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 41/6635520],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 11/1843200],
[[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 1/307200],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 1/884736],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 7/4423680],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 7151/1088640000],
[[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 37/12700800],
[[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 1/2721600],
[[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 403/64512000],
[[[1, 2], [2, 9], [5, 1], [7, 1], [10, 1]], 1/225792000],
[[[1, 2], [2, 9], [5, 1], [9, 1], [10, 1]], 1/653184000],
[[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 2161/1016064000],
[[[1, 2], [2, 9], [5, 1], [10, 1], [18, 1]], 1/14515200],
[[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 13/4741632],
[[[1, 2], [2, 9], [6, 1], [7, 1], [18, 1]], 1/10160640],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 263/12096000],
[[[1, 2], [2, 9], [6, 1], [9, 1], [14, 1]], 13/6096384],
[[[1, 2], [2, 9], [6, 1], [9, 1], [18, 1]], 1/13063680],
[[[1, 2], [2, 9], [6, 1], [10, 2], [12, 1]], 53/6912000],
[[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 17/967680],
[[[1, 2], [2, 9], [6, 2], [7, 1], [10, 1]], 1/127008],
[[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 197/10160640],
[[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 11/2177280],
[[[1, 2], [2, 9], [6, 2], [9, 1], [10, 1]], 1/163296],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 173/1209600],
[[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 11/172800],
[[[1, 2], [2, 9], [6, 2], [12, 1], [14, 1]], 11/967680],
[[[1, 2], [2, 9], [6, 2], [12, 1], [18, 1]], 1/1244160],
[[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 71/3110400],
[[[1, 2], [2, 9], [6, 3], [10, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 1/57600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 63673/14108774400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 2669/4354560000],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 833/716636160],
[[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 1/5806080],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 43/278691840],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 3]], 11/78382080],
[[[1, 2], [2, 11], [3, 1], [5, 1], [14, 1]], 1/95256000],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 574841/104509440000],
[[[1, 2], [2, 11], [3, 1], [6, 2], [7, 1]], 31/914457600],
[[[1, 2], [2, 11], [3, 1], [6, 2], [9, 1]], 31/1175731200],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 189473/43893964800],
[[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 15977/18811699200],
[[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 43/69672960],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 121409/7838208000],
[[[1, 2], [2, 11], [3, 1], [6, 3], [12, 1]], 113/156764160],
[[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/7257600],
[[[1, 2], [2, 11], [3, 1], [12, 1], [14, 1]], 1/76204800],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 571/836075520],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 121/1672151040],
[[[1, 2], [2, 11], [3, 2], [5, 1], [6, 2]], 31/1959552000],
[[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 1249/21946982400],
[[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 1/2351462400],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1489/1045094400],
[[[1, 2], [2, 11], [3, 2], [6, 2], [12, 1]], 31/1567641600],
[[[1, 2], [2, 11], [3, 3], [4, 1], [6, 2]], 1537/84652646400],
[[[1, 2], [2, 11], [3, 3], [4, 1], [8, 1]], 1/75246796800],
[[[1, 2], [2, 11], [3, 3], [4, 1], [10, 1]], 43/94058496000],
[[[1, 2], [2, 11], [3, 3], [6, 1], [10, 1]], 209/70543872000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 1/7741440],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 135433/8709120000],
[[[1, 2], [2, 11], [4, 1], [6, 2], [7, 1]], 451/3657830400],
[[[1, 2], [2, 11], [4, 1], [6, 2], [9, 1]], 451/4702924800],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 63647/7315660800],
[[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 2383/783820800],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 19399/5374771200],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 127271/6270566400],
[[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 227/139345920],
[[[1, 2], [2, 11], [4, 1], [7, 1], [8, 1]], 1/812851200],
[[[1, 2], [2, 11], [4, 1], [7, 1], [10, 1]], 43/1016064000],
[[[1, 2], [2, 11], [4, 1], [8, 1], [9, 1]], 1/1045094400],
[[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 719/1393459200],
[[[1, 2], [2, 11], [4, 1], [8, 1], [18, 1]], 23/522547200],
[[[1, 2], [2, 11], [4, 1], [9, 1], [10, 1]], 43/1306368000],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 493/81285120],
[[[1, 2], [2, 11], [4, 1], [10, 1], [18, 1]], 73/87091200],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 1/442368000],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 13607/6502809600],
[[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 3821/8360755200],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 34117/16721510400],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 13661/2090188800],
[[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 17/69672960],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 5221/4644864000],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 59/185794560],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 1/1146880],
[[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 121/1524096000],
[[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1/653184000],
[[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 859/2322432000],
[[[1, 2], [2, 11], [5, 1], [8, 1], [10, 1]], 1/1161216000],
[[[1, 2], [2, 11], [6, 1], [7, 1], [10, 1]], 209/762048000],
[[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 1523/1219276800],
[[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 23/522547200],
[[[1, 2], [2, 11], [6, 1], [9, 1], [10, 1]], 209/979776000],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 5147/406425600],
[[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 1493/522547200],
[[[1, 2], [2, 11], [6, 1], [12, 1], [14, 1]], 17/81285120],
[[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 211/58060800],
[[[1, 2], [2, 11], [6, 2], [10, 1], [12, 1]], 103/58060800],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 64859/225740390400],
[[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 1/149299200],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 43/783820800],
[[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/2786918400],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 43/3483648000],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 211/66886041600],
[[[1, 2], [2, 13], [3, 1], [5, 1], [6, 2]], 13/3135283200],
[[[1, 2], [2, 13], [3, 1], [5, 1], [10, 1]], 11/13063680000],
[[[1, 2], [2, 13], [3, 1], [6, 1], [7, 1]], 1/7315660800],
[[[1, 2], [2, 13], [3, 1], [6, 1], [9, 1]], 1/9405849600],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 1/29030400],
[[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 13/2351462400],
[[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 31/2090188800],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 36199/62705664000],
[[[1, 2], [2, 13], [3, 1], [6, 2], [12, 1]], 29/3135283200],
[[[1, 2], [2, 13], [3, 1], [10, 1], [12, 1]], 11/10450944000],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 53/3135283200],
[[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 1/2229534720],
[[[1, 2], [2, 13], [3, 2], [5, 1], [6, 1]], 1/15676416000],
[[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 323/62705664000],
[[[1, 2], [2, 13], [3, 2], [6, 1], [12, 1]], 1/12541132800],
[[[1, 2], [2, 13], [3, 3], [4, 1], [6, 1]], 1/48372940800],
[[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 1/11943936000],
[[[1, 2], [2, 13], [4, 1], [6, 1], [7, 1]], 1/522547200],
[[[1, 2], [2, 13], [4, 1], [6, 1], [9, 1]], 1/671846400],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 8171/29262643200],
[[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 769/12541132800],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 1169/7166361600],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 6707/4180377600],
[[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 11/261273600],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 103/1990656000],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 817/16721510400],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 4891/16721510400],
[[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 1/371589120],
[[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 19/2903040000],
[[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 431/3483648000],
[[[1, 2], [2, 13], [6, 1], [10, 1], [12, 1]], 73/3483648000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [5, 1]], 1/313528320000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1811/300987187200],
[[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 1/1866240000],
[[[1, 2], [2, 15], [3, 1], [4, 1], [12, 1]], 1/250822656000],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 139/200658124800],
[[[1, 2], [2, 15], [3, 1], [5, 1], [6, 1]], 11/274337280000],
[[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 1/16721510400],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 4867/1254113280000],
[[[1, 2], [2, 15], [3, 1], [6, 1], [12, 1]], 11/219469824000],
[[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/12541132800],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 7711/3511517184000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 15739/418037760000],
[[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 1/4180377600],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 1321/36118462464000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 4]], 1/240000],
[[[1, 3], [2, 2], [3, 1], [5, 3], [6, 3]], 1/1944000],
[[[1, 3], [2, 2], [3, 1], [5, 3], [14, 1]], 1/21000],
[[[1, 3], [2, 2], [3, 1], [5, 3], [18, 1]], 1/27000],
[[[1, 3], [2, 2], [3, 1], [5, 4], [6, 1]], 1/90000],
[[[1, 3], [2, 2], [3, 1], [6, 3], [7, 2]], 1/381024],
[[[1, 3], [2, 2], [3, 1], [7, 2], [14, 1]], 1/4116],
[[[1, 3], [2, 2], [3, 1], [7, 2], [18, 1]], 1/5292],
[[[1, 3], [2, 2], [3, 2], [4, 2], [7, 2]], 1/225792],
[[[1, 3], [2, 2], [3, 2], [4, 2], [9, 2]], 1/41472],
[[[1, 3], [2, 2], [3, 2], [5, 1], [10, 3]], 1/36000],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 4]], 1/1166400],
[[[1, 3], [2, 2], [3, 2], [5, 2], [10, 2]], 1/43200],
[[[1, 3], [2, 2], [3, 2], [5, 3], [10, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 2], [6, 2], [7, 2]], 1/63504],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 2]], 1/11664],
[[[1, 3], [2, 2], [3, 2], [6, 2], [14, 2]], 1/190512],
[[[1, 3], [2, 2], [3, 2], [6, 2], [18, 2]], 1/34992],
[[[1, 3], [2, 2], [3, 2], [7, 2], [8, 1]], 1/28224],
[[[1, 3], [2, 2], [3, 2], [7, 2], [10, 1]], 1/17640],
[[[1, 3], [2, 2], [3, 2], [8, 1], [9, 2]], 1/5184],
[[[1, 3], [2, 2], [3, 2], [9, 2], [10, 1]], 1/3240],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 2]], 1/42336],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 2]], 1/7776],
[[[1, 3], [2, 2], [3, 3], [5, 3], [6, 1]], 1/216000],
[[[1, 3], [2, 2], [3, 3], [6, 1], [7, 2]], 11/127008],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/2916],
[[[1, 3], [2, 2], [3, 3], [6, 4], [7, 1]], 1/489888],
[[[1, 3], [2, 2], [3, 3], [6, 4], [9, 1]], 1/209952],
[[[1, 3], [2, 2], [3, 4], [5, 2], [6, 2]], 1/129600],
[[[1, 3], [2, 2], [3, 4], [5, 2], [10, 1]], 1/388800],
[[[1, 3], [2, 2], [3, 5], [6, 2], [7, 1]], 1/54432],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 1/23328],
[[[1, 3], [2, 2], [4, 1], [5, 3], [6, 3]], 1/1296000],
[[[1, 3], [2, 2], [4, 1], [5, 3], [14, 1]], 1/14000],
[[[1, 3], [2, 2], [4, 1], [5, 3], [18, 1]], 1/18000],
[[[1, 3], [2, 2], [4, 1], [5, 4], [6, 1]], 1/240000],
[[[1, 3], [2, 2], [4, 2], [5, 1], [10, 3]], 1/128000],
[[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 1/12800],
[[[1, 3], [2, 2], [4, 2], [5, 2], [10, 2]], 1/38400],
[[[1, 3], [2, 2], [4, 2], [5, 3], [8, 1]], 1/32000],
[[[1, 3], [2, 2], [4, 2], [5, 3], [10, 1]], 1/128000],
[[[1, 3], [2, 2], [4, 2], [6, 2], [14, 2]], 1/677376],
[[[1, 3], [2, 2], [4, 2], [6, 2], [18, 2]], 1/124416],
[[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 1/25600],
[[[1, 3], [2, 2], [5, 1], [6, 2], [14, 2]], 1/52920],
[[[1, 3], [2, 2], [5, 1], [6, 2], [18, 2]], 1/9720],
[[[1, 3], [2, 2], [5, 1], [7, 2], [10, 1]], 1/1960],
[[[1, 3], [2, 2], [5, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 3], [2, 2], [5, 2], [6, 2], [10, 2]], 1/14400],
[[[1, 3], [2, 2], [5, 2], [6, 3], [7, 1]], 1/907200],
[[[1, 3], [2, 2], [5, 2], [7, 1], [14, 1]], 1/9800],
[[[1, 3], [2, 2], [5, 2], [7, 1], [18, 1]], 1/12600],
[[[1, 3], [2, 2], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 2], [5, 3], [8, 1], [10, 1]], 1/16000],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 3]], 1/1152000],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 6]], 5/4478976],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 2]], 1/225792],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 3]], 1/48000],
[[[1, 3], [2, 4], [3, 1], [5, 1], [10, 3]], 17/720000],
[[[1, 3], [2, 4], [3, 1], [5, 1], [14, 2]], 1/11760],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 4]], 1/3110400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 19/57600],
[[[1, 3], [2, 4], [3, 1], [5, 3], [6, 2]], 1/324000],
[[[1, 3], [2, 4], [3, 1], [5, 3], [10, 1]], 13/720000],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 2]], 1/63504],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 47/864000],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [6, 2], [18, 2]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [6, 4], [10, 2]], 1/194400],
[[[1, 3], [2, 4], [3, 1], [6, 5], [14, 1]], 1/326592],
[[[1, 3], [2, 4], [3, 1], [6, 5], [18, 1]], 1/139968],
[[[1, 3], [2, 4], [3, 1], [7, 2], [10, 1]], 1/17640],
[[[1, 3], [2, 4], [3, 1], [10, 3], [12, 1]], 1/48000],
[[[1, 3], [2, 4], [3, 1], [12, 1], [14, 2]], 1/9408],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 6]], 5/559872],
[[[1, 3], [2, 4], [3, 2], [4, 1], [7, 2]], 1/338688],
[[[1, 3], [2, 4], [3, 2], [4, 1], [9, 2]], 1/62208],
[[[1, 3], [2, 4], [3, 2], [4, 1], [10, 3]], 1/72000],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 1/2764800],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/36864],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 3]], 1/194400],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 2]], 1/254016],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 2]], 1/46656],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/81000],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 5/95256],
[[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 953/13996800],
[[[1, 3], [2, 4], [3, 2], [6, 4], [7, 1]], 145/1306368],
[[[1, 3], [2, 4], [3, 2], [6, 4], [9, 1]], 49/559872],
[[[1, 3], [2, 4], [3, 2], [6, 4], [14, 1]], 1115/5878656],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 953/2519424],
[[[1, 3], [2, 4], [3, 2], [6, 5], [10, 1]], 1/77760],
[[[1, 3], [2, 4], [3, 2], [10, 2], [14, 1]], 1/45360],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 5]], 1/559872],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 4]], 71/6718464],
[[[1, 3], [2, 4], [3, 3], [4, 2], [8, 2]], 1/331776],
[[[1, 3], [2, 4], [3, 3], [4, 2], [10, 2]], 1/829440],
[[[1, 3], [2, 4], [3, 3], [4, 3], [7, 1]], 1/1161216],
[[[1, 3], [2, 4], [3, 3], [4, 3], [9, 1]], 1/497664],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 4]], 1/19440],
[[[1, 3], [2, 4], [3, 3], [5, 1], [10, 2]], 1/86400],
[[[1, 3], [2, 4], [3, 3], [5, 2], [6, 2]], 1/345600],
[[[1, 3], [2, 4], [3, 3], [6, 2], [10, 2]], 11/583200],
[[[1, 3], [2, 4], [3, 3], [6, 3], [7, 1]], 1/81648],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/34992],
[[[1, 3], [2, 4], [3, 3], [6, 3], [14, 1]], 43/979776],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 43/419904],
[[[1, 3], [2, 4], [3, 3], [6, 4], [12, 1]], 1/15552],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 4]], 85/5038848],
[[[1, 3], [2, 4], [3, 4], [6, 1], [10, 2]], 1/1555200],
[[[1, 3], [2, 4], [3, 4], [6, 2], [7, 1]], 1/145152],
[[[1, 3], [2, 4], [3, 4], [6, 2], [9, 1]], 1/62208],
[[[1, 3], [2, 4], [3, 4], [6, 2], [14, 1]], 1/217728],
[[[1, 3], [2, 4], [3, 4], [6, 2], [18, 1]], 1/279936],
[[[1, 3], [2, 4], [3, 4], [6, 3], [10, 1]], 1/699840],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 3]], 1/62208],
[[[1, 3], [2, 4], [3, 5], [4, 2], [6, 2]], 7/1492992],
[[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 323/960000],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 1/25600],
[[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 17/48000],
[[[1, 3], [2, 4], [4, 1], [5, 3], [6, 2]], 1/216000],
[[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 17/320000],
[[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 1/72000],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 2]], 31/338688],
[[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 7/62208],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 7/64000],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 5/12544],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 1/12800],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 3]], 1/4147200],
[[[1, 3], [2, 4], [4, 2], [5, 2], [7, 1]], 1/537600],
[[[1, 3], [2, 4], [4, 2], [5, 2], [14, 1]], 1/44800],
[[[1, 3], [2, 4], [4, 2], [5, 2], [18, 1]], 1/57600],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 1/28800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 23/338688],
[[[1, 3], [2, 4], [4, 2], [6, 1], [18, 2]], 1/10368],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/55296],
[[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 77/12441600],
[[[1, 3], [2, 4], [4, 2], [6, 4], [7, 1]], 1/145152],
[[[1, 3], [2, 4], [4, 2], [6, 4], [9, 1]], 1/186624],
[[[1, 3], [2, 4], [4, 2], [6, 4], [14, 1]], 11/746496],
[[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 77/2239488],
[[[1, 3], [2, 4], [4, 2], [6, 5], [8, 1]], 1/1492992],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 3/7168],
[[[1, 3], [2, 4], [4, 2], [7, 1], [10, 2]], 1/8960],
[[[1, 3], [2, 4], [4, 2], [8, 2], [9, 1]], 1/4608],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 19/21504],
[[[1, 3], [2, 4], [4, 2], [8, 2], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [4, 2], [9, 1], [10, 2]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 23/806400],
[[[1, 3], [2, 4], [4, 2], [10, 2], [18, 1]], 1/57600],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/10240],
[[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 1/51200],
[[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 1/61440],
[[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 1/51200],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/18432],
[[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 1/921600],
[[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 1/387072],
[[[1, 3], [2, 4], [4, 3], [6, 3], [18, 1]], 1/165888],
[[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/331776],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 7/102400],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 227/720000],
[[[1, 3], [2, 4], [5, 1], [6, 1], [14, 2]], 1/5292],
[[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 571/7776000],
[[[1, 3], [2, 4], [5, 1], [6, 4], [14, 1]], 1/204120],
[[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 1/87480],
[[[1, 3], [2, 4], [5, 1], [6, 5], [10, 1]], 1/1866240],
[[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 13/25200],
[[[1, 3], [2, 4], [5, 1], [9, 1], [10, 2]], 1/10800],
[[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 31/50400],
[[[1, 3], [2, 4], [5, 1], [10, 2], [18, 1]], 1/7200],
[[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 41/144000],
[[[1, 3], [2, 4], [5, 2], [6, 2], [7, 1]], 1/151200],
[[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 17/518400],
[[[1, 3], [2, 4], [5, 2], [7, 1], [10, 1]], 1/42000],
[[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [5, 2], [10, 1], [18, 1]], 1/7200],
[[[1, 3], [2, 4], [5, 3], [6, 1], [10, 1]], 1/48000],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 3]], 1/48000],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/9408],
[[[1, 3], [2, 4], [6, 2], [7, 1], [10, 2]], 1/20160],
[[[1, 3], [2, 4], [6, 2], [9, 1], [10, 2]], 1/25920],
[[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 1/302400],
[[[1, 3], [2, 4], [6, 2], [10, 2], [18, 1]], 1/129600],
[[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 1/42336],
[[[1, 3], [2, 4], [6, 3], [7, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 4], [6, 3], [9, 1], [14, 1]], 1/54432],
[[[1, 3], [2, 4], [6, 3], [9, 1], [18, 1]], 1/23328],
[[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 1/54432],
[[[1, 3], [2, 4], [8, 1], [10, 2], [14, 1]], 1/22400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 215/6718464],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 1/48000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 5/56448],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 5/139968],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 13/1990656],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 1/12288],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 1/1327104],
[[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 1/1032192],
[[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 1/442368],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 13/699840],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 1/518400],
[[[1, 3], [2, 6], [3, 1], [5, 2], [7, 1]], 1/48384000],
[[[1, 3], [2, 6], [3, 1], [5, 2], [9, 1]], 1/20736000],
[[[1, 3], [2, 6], [3, 1], [5, 3], [6, 1]], 1/6480000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 2]], 1/1270080],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 1/9600],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 43/84672],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1123/3110400],
[[[1, 3], [2, 6], [3, 1], [6, 4], [7, 1]], 1/13608],
[[[1, 3], [2, 6], [3, 1], [6, 4], [9, 1]], 1/17496],
[[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 323/1306368],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 173/559872],
[[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 1/93312],
[[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 11/174960],
[[[1, 3], [2, 6], [3, 1], [6, 5], [12, 1]], 13/559872],
[[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/100800],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1567/13436928],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 11/248832],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 5/221184],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 1/294912],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 1/884736],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 4]], 1/29160],
[[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/72000],
[[[1, 3], [2, 6], [3, 2], [5, 2], [6, 2]], 1/3888000],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 809/9331200],
[[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 1/31104],
[[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 1/31104],
[[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 7403/11757312],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 803/1679616],
[[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/20736],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1609/4199040],
[[[1, 3], [2, 6], [3, 2], [6, 4], [12, 1]], 13/93312],
[[[1, 3], [2, 6], [3, 2], [7, 1], [9, 1]], 1/8709120],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1357/20155392],
[[[1, 3], [2, 6], [3, 3], [4, 1], [10, 2]], 1/1382400],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 137/2239488],
[[[1, 3], [2, 6], [3, 3], [4, 2], [14, 1]], 1/3483648],
[[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 17/663552],
[[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/1327104],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 3]], 1/77760],
[[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 29/9331200],
[[[1, 3], [2, 6], [3, 3], [6, 2], [7, 1]], 1/1632960],
[[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 1/699840],
[[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 1/20736],
[[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 19/1679616],
[[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 53/1049760],
[[[1, 3], [2, 6], [3, 3], [6, 3], [12, 1]], 1/62208],
[[[1, 3], [2, 6], [3, 3], [10, 1], [14, 1]], 1/725760],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 3]], 59/6718464],
[[[1, 3], [2, 6], [3, 4], [6, 1], [14, 1]], 1/870912],
[[[1, 3], [2, 6], [3, 4], [6, 2], [10, 1]], 11/5598720],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 1/233280],
[[[1, 3], [2, 6], [4, 1], [5, 3], [6, 1]], 1/4320000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 11/48000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 37/84672],
[[[1, 3], [2, 6], [4, 1], [6, 1], [18, 2]], 1/10368],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/41472],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 2203/12441600],
[[[1, 3], [2, 6], [4, 1], [6, 4], [7, 1]], 1/31104],
[[[1, 3], [2, 6], [4, 1], [6, 4], [9, 1]], 7/279936],
[[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 487/5225472],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 331/2239488],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 31/2985984],
[[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 29/1866240],
[[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 1/248832],
[[[1, 3], [2, 6], [4, 1], [7, 1], [10, 2]], 3/44800],
[[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 5/21504],
[[[1, 3], [2, 6], [4, 1], [9, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 131/403200],
[[[1, 3], [2, 6], [4, 1], [10, 2], [18, 1]], 1/11520],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 59/384000],
[[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 1/691200],
[[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 1/307200],
[[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 11/512000],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 7/36864],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 557/2073600],
[[[1, 3], [2, 6], [4, 2], [6, 3], [7, 1]], 1/48384],
[[[1, 3], [2, 6], [4, 2], [6, 3], [9, 1]], 1/62208],
[[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 107/653184],
[[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 11/46656],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 41/746496],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 247/3732480],
[[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 7/248832],
[[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 1/37632],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 37/102400],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 83/153600],
[[[1, 3], [2, 6], [4, 2], [9, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 6], [4, 2], [14, 1], [18, 1]], 1/12096],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 1/4608],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 7/92160],
[[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 35/663552],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/36864],
[[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 1/110592],
[[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 1/172032],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 5/21504],
[[[1, 3], [2, 6], [4, 3], [8, 1], [18, 1]], 1/9216],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 6], [4, 3], [10, 1], [18, 1]], 1/23040],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 1/245760],
[[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 1/98304],
[[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 1/258048],
[[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 1/110592],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 5/442368],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/368640],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 1/24576],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 343/1296000],
[[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 97/1632960],
[[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 19/233280],
[[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 403/9331200],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 11/192000],
[[[1, 3], [2, 6], [5, 2], [6, 1], [7, 1]], 1/3024000],
[[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 3], [2, 6], [6, 1], [7, 1], [10, 2]], 11/100800],
[[[1, 3], [2, 6], [6, 1], [9, 1], [10, 2]], 11/129600],
[[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 3149/9676800],
[[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 271/1382400],
[[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 1/9408],
[[[1, 3], [2, 6], [6, 2], [7, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 1/15360],
[[[1, 3], [2, 6], [6, 2], [9, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 6], [6, 2], [9, 1], [18, 1]], 1/23328],
[[[1, 3], [2, 6], [6, 2], [10, 2], [12, 1]], 7/172800],
[[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 349/1741824],
[[[1, 3], [2, 6], [6, 3], [7, 1], [10, 1]], 11/181440],
[[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 13/290304],
[[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [6, 3], [9, 1], [10, 1]], 11/233280],
[[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 97/725760],
[[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 13/77760],
[[[1, 3], [2, 6], [6, 3], [12, 1], [14, 1]], 5/145152],
[[[1, 3], [2, 6], [6, 3], [12, 1], [18, 1]], 1/31104],
[[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[1, 3], [2, 6], [6, 4], [10, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 1/7840],
[[[1, 3], [2, 6], [9, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 6], [10, 1], [14, 1], [18, 1]], 1/10080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 3431/33592320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 2863/44789760],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 37/1728000],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 23/1327104],
[[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 1/129024],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 5/2654208],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1/1179648],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 77/5598720],
[[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 29/4320000],
[[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 1/10368000],
[[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 1/8709120],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 1829/5184000],
[[[1, 3], [2, 8], [3, 1], [6, 3], [7, 1]], 1/51840],
[[[1, 3], [2, 8], [3, 1], [6, 3], [9, 1]], 7/466560],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 511/1866240],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 271/1866240],
[[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 7/186624],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 409/1555200],
[[[1, 3], [2, 8], [3, 1], [6, 4], [12, 1]], 227/4478976],
[[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 1/365783040],
[[[1, 3], [2, 8], [3, 1], [10, 2], [12, 1]], 53/6912000],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 1/10450944000],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 24697/235146240],
[[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 13/10368000],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 5/147456],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 7/1327104],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 7/777600],
[[[1, 3], [2, 8], [3, 2], [5, 1], [7, 1]], 1/1828915200],
[[[1, 3], [2, 8], [3, 2], [5, 1], [9, 1]], 1/783820800],
[[[1, 3], [2, 8], [3, 2], [5, 2], [6, 1]], 1/2612736000],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 33007/2612736000],
[[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 17/8709120],
[[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 7/3732480],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 143999/1097349120],
[[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 10159/470292480],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 1/82944],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 10517/41990400],
[[[1, 3], [2, 8], [3, 2], [6, 3], [12, 1]], 29/1244160],
[[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 1/136080],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1741/100776960],
[[[1, 3], [2, 8], [3, 3], [4, 1], [7, 1]], 1/4389396480],
[[[1, 3], [2, 8], [3, 3], [4, 1], [9, 1]], 1/1881169920],
[[[1, 3], [2, 8], [3, 3], [4, 1], [14, 1]], 1/8709120],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 49/44789760],
[[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 1/59719680],
[[[1, 3], [2, 8], [3, 3], [4, 2], [10, 1]], 1/29859840],
[[[1, 3], [2, 8], [3, 3], [5, 1], [6, 2]], 1/1244160],
[[[1, 3], [2, 8], [3, 3], [5, 1], [10, 1]], 11/9405849600],
[[[1, 3], [2, 8], [3, 3], [6, 1], [7, 1]], 1/1097349120],
[[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 1/470292480],
[[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 131/52254720],
[[[1, 3], [2, 8], [3, 3], [6, 1], [18, 1]], 1/67184640],
[[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 157/13996800],
[[[1, 3], [2, 8], [3, 3], [6, 2], [12, 1]], 1/995328],
[[[1, 3], [2, 8], [3, 4], [4, 1], [6, 2]], 43/470292480],
[[[1, 3], [2, 8], [3, 4], [6, 1], [10, 1]], 1/6998400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 11/1866240],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1433/46080000],
[[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 1/36288000],
[[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 1/9216000],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 1/27648],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 62303/165888000],
[[[1, 3], [2, 8], [4, 1], [6, 3], [7, 1]], 53/2177280],
[[[1, 3], [2, 8], [4, 1], [6, 3], [9, 1]], 53/2799360],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 41813/209018880],
[[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 4511/29859840],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 1577/29859840],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 47/311040],
[[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 1/27648],
[[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 1/94080],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 703/4608000],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 1/25600],
[[[1, 3], [2, 8], [4, 1], [9, 1], [14, 1]], 1/120960],
[[[1, 3], [2, 8], [4, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 1/13824000],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 53/860160],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 6089/29030400],
[[[1, 3], [2, 8], [4, 2], [6, 2], [7, 1]], 19/1935360],
[[[1, 3], [2, 8], [4, 2], [6, 2], [9, 1]], 19/2488320],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 1025/6096384],
[[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 1195/10450944],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 1651/14929920],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 27167/149299200],
[[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 25/663552],
[[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 1/645120],
[[[1, 3], [2, 8], [4, 2], [7, 1], [10, 1]], 1/322560],
[[[1, 3], [2, 8], [4, 2], [8, 1], [9, 1]], 1/829440],
[[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 23/215040],
[[[1, 3], [2, 8], [4, 2], [8, 1], [18, 1]], 1/51840],
[[[1, 3], [2, 8], [4, 2], [9, 1], [10, 1]], 1/414720],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 151/1209600],
[[[1, 3], [2, 8], [4, 2], [10, 1], [18, 1]], 7/230400],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 41/7372800],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 23/573440],
[[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 47/2211840],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 67/983040],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 53/921600],
[[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 1/110592],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 497/7372800],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 13/884736],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 13/1474560],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 11113/181440000],
[[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 277/9525600],
[[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 1/127575],
[[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 721/15552000],
[[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 149/609638400],
[[[1, 3], [2, 8], [5, 1], [9, 1], [10, 1]], 1/14515200],
[[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 277/9676800],
[[[1, 3], [2, 8], [5, 1], [10, 1], [18, 1]], 1/1036800],
[[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 11/12096000],
[[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 11/564480],
[[[1, 3], [2, 8], [6, 1], [7, 1], [18, 1]], 1/725760],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 13/192000],
[[[1, 3], [2, 8], [6, 1], [9, 1], [14, 1]], 11/725760],
[[[1, 3], [2, 8], [6, 1], [9, 1], [18, 1]], 1/933120],
[[[1, 3], [2, 8], [6, 1], [10, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 13/248832],
[[[1, 3], [2, 8], [6, 2], [7, 1], [10, 1]], 1/24192],
[[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 31/483840],
[[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 1/34560],
[[[1, 3], [2, 8], [6, 2], [9, 1], [10, 1]], 1/31104],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 109/403200],
[[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 221/1555200],
[[[1, 3], [2, 8], [6, 2], [12, 1], [14, 1]], 17/580608],
[[[1, 3], [2, 8], [6, 2], [12, 1], [18, 1]], 1/248832],
[[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 29/622080],
[[[1, 3], [2, 8], [6, 3], [10, 1], [12, 1]], 1/25920],
[[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 29/403200],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 92149/1881169920],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 2747/580608000],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 2221/92897280],
[[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 1/3901685760],
[[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 1/1672151040],
[[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 19/5806080],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 47/9289728],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 1/2211840],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1/1105920],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 17/106168320],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 869/391910400],
[[[1, 3], [2, 10], [3, 1], [5, 1], [14, 1]], 17/101606400],
[[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 1/6967296000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 5429/139345920],
[[[1, 3], [2, 10], [3, 1], [6, 2], [7, 1]], 19/20321280],
[[[1, 3], [2, 10], [3, 1], [6, 2], [9, 1]], 19/26127360],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 1913/52254720],
[[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 1081/125411328],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 631/69672960],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 304807/3135283200],
[[[1, 3], [2, 10], [3, 1], [6, 3], [12, 1]], 503/78382080],
[[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1/453600],
[[[1, 3], [2, 10], [3, 1], [12, 1], [14, 1]], 17/81285120],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 630613/37623398400],
[[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 1/8709120],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 691/185794560],
[[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/3344302080],
[[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 1/26542080],
[[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 19/43545600],
[[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 13/20901888000],
[[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 1/2926264320],
[[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 1/1254113280],
[[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 11063/8230118400],
[[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 17/881798400],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/1327104],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 4117/195955200],
[[[1, 3], [2, 10], [3, 2], [6, 2], [12, 1]], 19/34836480],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 3343/3762339840],
[[[1, 3], [2, 10], [3, 3], [4, 1], [8, 1]], 23/37623398400],
[[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 73/6270566400],
[[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 71/15049359360],
[[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 607/3135283200],
[[[1, 3], [2, 10], [3, 4], [4, 1], [6, 1]], 211/112870195200],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 23/13063680],
[[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 1/2419200],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 23/7741440],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 13523/145152000],
[[[1, 3], [2, 10], [4, 1], [6, 2], [7, 1]], 227/81285120],
[[[1, 3], [2, 10], [4, 1], [6, 2], [9, 1]], 227/104509440],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 28733/487710720],
[[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 1237/52254720],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 14509/557383680],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 6821/65318400],
[[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 37/3317760],
[[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 1/17203200],
[[[1, 3], [2, 10], [4, 1], [7, 1], [10, 1]], 73/67737600],
[[[1, 3], [2, 10], [4, 1], [8, 1], [9, 1]], 23/522547200],
[[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 2453/325140480],
[[[1, 3], [2, 10], [4, 1], [8, 1], [18, 1]], 1/1548288],
[[[1, 3], [2, 10], [4, 1], [9, 1], [10, 1]], 73/87091200],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 859/19353600],
[[[1, 3], [2, 10], [4, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 1/928972800],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 203/1327104000],
[[[1, 3], [2, 10], [4, 2], [6, 1], [7, 1]], 17/40642560],
[[[1, 3], [2, 10], [4, 2], [6, 1], [9, 1]], 17/52254720],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 98851/3657830400],
[[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 26777/3135283200],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 44951/1672151040],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 47491/696729600],
[[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 53/11612160],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 8231/464486400],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 1453/185794560],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 3/229376],
[[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 1/4423680],
[[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 139/71442000],
[[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 17/244944000],
[[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 68221/10450944000],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 23/580608000],
[[[1, 3], [2, 10], [6, 1], [7, 1], [10, 1]], 103/33868800],
[[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 527/54190080],
[[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 1/1548288],
[[[1, 3], [2, 10], [6, 1], [9, 1], [10, 1]], 103/43545600],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 1069/19353600],
[[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 359/24883200],
[[[1, 3], [2, 10], [6, 1], [12, 1], [14, 1]], 1/725760],
[[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 25/1161216],
[[[1, 3], [2, 10], [6, 2], [10, 1], [12, 1]], 17/2073600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 140081/25082265600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 341/2438553600],
[[[1, 3], [2, 12], [3, 1], [4, 2], [5, 1]], 1/464486400],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 177559/100329062400],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 47/2786918400],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 569/1741824000],
[[[1, 3], [2, 12], [3, 1], [4, 2], [12, 1]], 1/371589120],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 4421/22295347200],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 1417/15676416000],
[[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 881/52254720000],
[[[1, 3], [2, 12], [3, 1], [6, 1], [7, 1]], 17/2438553600],
[[[1, 3], [2, 12], [3, 1], [6, 1], [9, 1]], 17/3135283200],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 19223/29262643200],
[[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 317/3135283200],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 443/1045094400],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 214033/31352832000],
[[[1, 3], [2, 12], [3, 1], [6, 2], [12, 1]], 487/3135283200],
[[[1, 3], [2, 12], [3, 1], [10, 1], [12, 1]], 73/3483648000],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 45061/75246796800],
[[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 1/4180377600],
[[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 43/5225472000],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 359/5573836800],
[[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 17/5225472000],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 23771/188116992000],
[[[1, 3], [2, 12], [3, 2], [6, 1], [12, 1]], 17/4180377600],
[[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 11/14108774400],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 451/5225472000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 1/1161216000],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 1601/46448640000],
[[[1, 3], [2, 12], [4, 1], [6, 1], [7, 1]], 11/152409600],
[[[1, 3], [2, 12], [4, 1], [6, 1], [9, 1]], 11/195955200],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 202493/58525286400],
[[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 21509/25082265600],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 11507/4777574400],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 40079/2612736000],
[[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 79/139345920],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 26311/27869184000],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 19139/16721510400],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 90203/16721510400],
[[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 233/2786918400],
[[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 21737/104509440000],
[[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 5053/3483648000],
[[[1, 3], [2, 12], [6, 1], [10, 1], [12, 1]], 1/5160960],
[[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 1/5225472000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 13241/75246796800],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 1/16721510400],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 13/995328000],
[[[1, 3], [2, 14], [3, 1], [4, 1], [12, 1]], 1/4180377600],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 49/1433272320],
[[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 1/895795200],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 13/4180377600],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 1433/16721510400],
[[[1, 3], [2, 14], [3, 1], [6, 1], [12, 1]], 1/783820800],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 503/150493593600],
[[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 1/746496000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 73/1337720832],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 2347/3981312000],
[[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 1/185794560],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 30329/21069103104000],
[[[1, 3], [3, 1], [5, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 3], [3, 1], [5, 2], [7, 1], [9, 1]], 1/4725],
[[[1, 3], [3, 1], [5, 2], [10, 2], [12, 1]], 1/4800],
[[[1, 3], [3, 2], [4, 1], [7, 2], [8, 1]], 1/28224],
[[[1, 3], [3, 2], [4, 1], [8, 1], [9, 2]], 1/5184],
[[[1, 3], [3, 2], [5, 2], [6, 2], [7, 1]], 1/151200],
[[[1, 3], [3, 2], [5, 2], [6, 2], [9, 1]], 1/64800],
[[[1, 3], [3, 2], [5, 2], [7, 1], [12, 1]], 1/25200],
[[[1, 3], [3, 2], [5, 2], [9, 1], [12, 1]], 1/10800],
[[[1, 3], [3, 3], [5, 1], [7, 1], [9, 1]], 1/5670],
[[[1, 3], [3, 3], [6, 2], [7, 1], [9, 1]], 1/27216],
[[[1, 3], [3, 3], [7, 1], [9, 1], [12, 1]], 1/4536],
[[[1, 3], [4, 1], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 4]], 3/80000],
[[[1, 4], [2, 1], [3, 1], [5, 3], [6, 3]], 1/1944000],
[[[1, 4], [2, 1], [3, 1], [5, 3], [7, 1]], 1/7000],
[[[1, 4], [2, 1], [3, 1], [5, 3], [9, 1]], 1/6750],
[[[1, 4], [2, 1], [3, 1], [5, 3], [14, 1]], 1/21000],
[[[1, 4], [2, 1], [3, 1], [5, 3], [18, 1]], 1/27000],
[[[1, 4], [2, 1], [3, 1], [5, 4], [6, 1]], 1/90000],
[[[1, 4], [2, 1], [3, 1], [6, 3], [7, 2]], 1/1143072],
[[[1, 4], [2, 1], [3, 1], [7, 1], [9, 2]], 1/2268],
[[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/1323],
[[[1, 4], [2, 1], [3, 1], [7, 2], [14, 1]], 1/12348],
[[[1, 4], [2, 1], [3, 1], [7, 2], [18, 1]], 1/15876],
[[[1, 4], [2, 1], [3, 2], [4, 2], [7, 2]], 1/225792],
[[[1, 4], [2, 1], [3, 2], [4, 2], [9, 2]], 1/41472],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 2]], 1/3528],
[[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 1/1944],
[[[1, 4], [2, 1], [3, 2], [5, 1], [10, 3]], 1/108000],
[[[1, 4], [2, 1], [3, 2], [5, 2], [10, 2]], 1/14400],
[[[1, 4], [2, 1], [3, 2], [5, 3], [6, 2]], 1/216000],
[[[1, 4], [2, 1], [3, 2], [5, 3], [10, 1]], 13/108000],
[[[1, 4], [2, 1], [3, 2], [5, 3], [12, 1]], 1/36000],
[[[1, 4], [2, 1], [3, 2], [6, 2], [7, 2]], 1/42336],
[[[1, 4], [2, 1], [3, 2], [7, 2], [8, 1]], 1/28224],
[[[1, 4], [2, 1], [3, 2], [7, 2], [12, 1]], 1/7056],
[[[1, 4], [2, 1], [3, 2], [8, 1], [9, 2]], 1/5184],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 3]], 13/1296000],
[[[1, 4], [2, 1], [3, 3], [4, 1], [7, 2]], 1/14112],
[[[1, 4], [2, 1], [3, 3], [4, 1], [9, 2]], 5/23328],
[[[1, 4], [2, 1], [3, 3], [5, 2], [6, 3]], 41/5248800],
[[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 61/907200],
[[[1, 4], [2, 1], [3, 3], [5, 2], [9, 1]], 1/6480],
[[[1, 4], [2, 1], [3, 3], [5, 2], [14, 1]], 1/113400],
[[[1, 4], [2, 1], [3, 3], [5, 2], [18, 1]], 1/145800],
[[[1, 4], [2, 1], [3, 3], [5, 3], [6, 1]], 1/24000],
[[[1, 4], [2, 1], [3, 3], [6, 1], [7, 2]], 11/42336],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/1458],
[[[1, 4], [2, 1], [3, 4], [5, 2], [10, 1]], 1/43200],
[[[1, 4], [2, 1], [3, 4], [6, 3], [7, 1]], 41/2204496],
[[[1, 4], [2, 1], [3, 4], [6, 3], [9, 1]], 41/944784],
[[[1, 4], [2, 1], [3, 4], [7, 1], [9, 1]], 13/163296],
[[[1, 4], [2, 1], [3, 4], [7, 1], [14, 1]], 1/47628],
[[[1, 4], [2, 1], [3, 4], [7, 1], [18, 1]], 1/61236],
[[[1, 4], [2, 1], [3, 4], [9, 1], [14, 1]], 1/20412],
[[[1, 4], [2, 1], [3, 4], [9, 1], [18, 1]], 1/26244],
[[[1, 4], [2, 1], [3, 5], [4, 1], [5, 2]], 1/4665600],
[[[1, 4], [2, 1], [3, 5], [5, 1], [7, 1]], 1/816480],
[[[1, 4], [2, 1], [3, 5], [5, 1], [9, 1]], 1/349920],
[[[1, 4], [2, 1], [3, 5], [5, 2], [6, 1]], 1/583200],
[[[1, 4], [2, 1], [3, 6], [4, 1], [7, 1]], 1/1959552],
[[[1, 4], [2, 1], [3, 6], [4, 1], [9, 1]], 1/839808],
[[[1, 4], [2, 1], [3, 6], [5, 1], [10, 1]], 1/2099520],
[[[1, 4], [2, 1], [3, 6], [6, 1], [7, 1]], 1/244944],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 1/104976],
[[[1, 4], [2, 1], [4, 1], [5, 3], [7, 1]], 1/14000],
[[[1, 4], [2, 1], [4, 1], [5, 3], [9, 1]], 1/18000],
[[[1, 4], [2, 1], [4, 1], [5, 4], [6, 1]], 1/240000],
[[[1, 4], [2, 1], [4, 2], [5, 1], [10, 3]], 1/384000],
[[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 1/25600],
[[[1, 4], [2, 1], [4, 2], [5, 2], [10, 2]], 1/51200],
[[[1, 4], [2, 1], [4, 2], [5, 3], [8, 1]], 1/32000],
[[[1, 4], [2, 1], [4, 2], [5, 3], [10, 1]], 1/384000],
[[[1, 4], [2, 1], [5, 1], [7, 2], [10, 1]], 1/5880],
[[[1, 4], [2, 1], [5, 2], [6, 3], [7, 1]], 1/2721600],
[[[1, 4], [2, 1], [5, 2], [7, 1], [9, 1]], 1/12600],
[[[1, 4], [2, 1], [5, 2], [7, 1], [14, 1]], 1/29400],
[[[1, 4], [2, 1], [5, 2], [7, 1], [18, 1]], 1/37800],
[[[1, 4], [2, 1], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 23/338688],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 2]], 1/10368],
[[[1, 4], [2, 3], [3, 1], [5, 1], [10, 3]], 1/48000],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 4]], 1/1555200],
[[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 41/144000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/81000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [8, 1]], 1/48000],
[[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 227/720000],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 5/95256],
[[[1, 4], [2, 3], [3, 1], [6, 2], [14, 2]], 1/254016],
[[[1, 4], [2, 3], [3, 1], [6, 2], [18, 2]], 1/46656],
[[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/9408],
[[[1, 4], [2, 3], [3, 1], [7, 2], [10, 1]], 1/5292],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 1/72000],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 2]], 31/338688],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 7/62208],
[[[1, 4], [2, 3], [3, 2], [4, 1], [10, 3]], 1/216000],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 5]], 7/1492992],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 1/921600],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/18432],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 3]], 11/583200],
[[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 1/302400],
[[[1, 4], [2, 3], [3, 2], [5, 2], [9, 1]], 1/129600],
[[[1, 4], [2, 3], [3, 2], [5, 2], [14, 1]], 1/20160],
[[[1, 4], [2, 3], [3, 2], [5, 2], [18, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 47/864000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 2]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 3]], 1/324000],
[[[1, 4], [2, 3], [3, 2], [6, 1], [14, 2]], 1/63504],
[[[1, 4], [2, 3], [3, 2], [6, 3], [10, 2]], 1/345600],
[[[1, 4], [2, 3], [3, 2], [6, 4], [7, 1]], 1/217728],
[[[1, 4], [2, 3], [3, 2], [6, 4], [9, 1]], 1/279936],
[[[1, 4], [2, 3], [3, 2], [6, 4], [14, 1]], 1/145152],
[[[1, 4], [2, 3], [3, 2], [6, 4], [18, 1]], 1/62208],
[[[1, 4], [2, 3], [3, 2], [10, 2], [14, 1]], 1/151200],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 5]], 1/62208],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 77/12441600],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/55296],
[[[1, 4], [2, 3], [3, 3], [4, 2], [10, 2]], 1/4147200],
[[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 1/387072],
[[[1, 4], [2, 3], [3, 3], [4, 3], [9, 1]], 1/165888],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 4]], 1/699840],
[[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 17/518400],
[[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 953/13996800],
[[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 571/7776000],
[[[1, 4], [2, 3], [3, 3], [6, 2], [10, 2]], 1/194400],
[[[1, 4], [2, 3], [3, 3], [6, 3], [7, 1]], 43/979776],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 43/419904],
[[[1, 4], [2, 3], [3, 3], [6, 3], [14, 1]], 1/81648],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/34992],
[[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 1/54432],
[[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 1/42336],
[[[1, 4], [2, 3], [3, 3], [7, 1], [18, 1]], 1/54432],
[[[1, 4], [2, 3], [3, 3], [9, 1], [14, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 3], [9, 1], [18, 1]], 1/23328],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 4]], 85/5038848],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 3]], 71/6718464],
[[[1, 4], [2, 3], [3, 4], [4, 2], [7, 1]], 11/746496],
[[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 77/2239488],
[[[1, 4], [2, 3], [3, 4], [4, 2], [14, 1]], 1/145152],
[[[1, 4], [2, 3], [3, 4], [4, 2], [18, 1]], 1/186624],
[[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/331776],
[[[1, 4], [2, 3], [3, 4], [5, 2], [6, 1]], 1/194400],
[[[1, 4], [2, 3], [3, 4], [6, 1], [10, 2]], 1/3110400],
[[[1, 4], [2, 3], [3, 4], [6, 2], [7, 1]], 1115/5878656],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 953/2519424],
[[[1, 4], [2, 3], [3, 4], [6, 2], [14, 1]], 145/1306368],
[[[1, 4], [2, 3], [3, 4], [6, 2], [18, 1]], 49/559872],
[[[1, 4], [2, 3], [3, 4], [6, 3], [10, 1]], 1/19440],
[[[1, 4], [2, 3], [3, 4], [6, 3], [12, 1]], 1/15552],
[[[1, 4], [2, 3], [3, 4], [7, 1], [10, 1]], 1/204120],
[[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 1/87480],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 3]], 1/559872],
[[[1, 4], [2, 3], [3, 5], [4, 2], [8, 1]], 1/1492992],
[[[1, 4], [2, 3], [3, 5], [5, 1], [6, 2]], 1/77760],
[[[1, 4], [2, 3], [3, 5], [5, 1], [10, 1]], 1/1866240],
[[[1, 4], [2, 3], [3, 5], [6, 1], [7, 1]], 1/326592],
[[[1, 4], [2, 3], [3, 5], [6, 1], [9, 1]], 1/139968],
[[[1, 4], [2, 3], [3, 6], [4, 1], [6, 2]], 5/559872],
[[[1, 4], [2, 3], [3, 6], [4, 2], [6, 1]], 5/4478976],
[[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 17/320000],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 1/12800],
[[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 17/48000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [6, 2]], 1/72000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 7/64000],
[[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 323/960000],
[[[1, 4], [2, 3], [4, 1], [6, 2], [14, 2]], 1/338688],
[[[1, 4], [2, 3], [4, 1], [6, 2], [18, 2]], 1/62208],
[[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 5/12544],
[[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 1/25600],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 3]], 1/829440],
[[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 23/806400],
[[[1, 4], [2, 3], [4, 2], [5, 2], [9, 1]], 1/57600],
[[[1, 4], [2, 3], [4, 2], [5, 2], [14, 1]], 1/8960],
[[[1, 4], [2, 3], [4, 2], [5, 2], [18, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 2], [5, 3], [6, 1]], 1/48000],
[[[1, 4], [2, 3], [4, 2], [6, 1], [10, 3]], 1/1152000],
[[[1, 4], [2, 3], [4, 2], [6, 1], [14, 2]], 1/225792],
[[[1, 4], [2, 3], [4, 2], [6, 3], [8, 2]], 1/331776],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 19/21504],
[[[1, 4], [2, 3], [4, 2], [7, 1], [10, 2]], 1/44800],
[[[1, 4], [2, 3], [4, 2], [8, 2], [9, 1]], 1/2304],
[[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 3/7168],
[[[1, 4], [2, 3], [4, 2], [8, 2], [18, 1]], 1/4608],
[[[1, 4], [2, 3], [4, 2], [9, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 3], [4, 2], [10, 2], [14, 1]], 1/537600],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/5120],
[[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 1/51200],
[[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 7/102400],
[[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 1/51200],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/36864],
[[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 1/2764800],
[[[1, 4], [2, 3], [4, 3], [6, 3], [14, 1]], 1/1161216],
[[[1, 4], [2, 3], [4, 3], [6, 3], [18, 1]], 1/497664],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 1/61440],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/10240],
[[[1, 4], [2, 3], [5, 1], [6, 1], [10, 3]], 13/720000],
[[[1, 4], [2, 3], [5, 1], [6, 1], [14, 2]], 1/17640],
[[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/3360],
[[[1, 4], [2, 3], [5, 1], [9, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 3], [5, 1], [10, 2], [14, 1]], 1/42000],
[[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 19/57600],
[[[1, 4], [2, 3], [5, 2], [6, 2], [7, 1]], 1/45360],
[[[1, 4], [2, 3], [5, 2], [6, 3], [10, 1]], 1/86400],
[[[1, 4], [2, 3], [5, 2], [7, 1], [8, 1]], 1/22400],
[[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 31/50400],
[[[1, 4], [2, 3], [5, 2], [9, 1], [10, 1]], 1/7200],
[[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 13/25200],
[[[1, 4], [2, 3], [5, 2], [10, 1], [18, 1]], 1/10800],
[[[1, 4], [2, 3], [5, 3], [6, 1], [10, 1]], 17/720000],
[[[1, 4], [2, 3], [5, 3], [6, 1], [12, 1]], 1/48000],
[[[1, 4], [2, 3], [6, 1], [7, 2], [10, 1]], 1/11760],
[[[1, 4], [2, 3], [6, 1], [7, 2], [12, 1]], 1/9408],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 1/576000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 6]], 5/4478976],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/112896],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 1/48000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/18816],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 47/1119744],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 1/102400],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 41/1990656],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/3072],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1/25600],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 1/442368],
[[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 1/258048],
[[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 1/110592],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 1/174960],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 1/103680],
[[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 1/3225600],
[[[1, 4], [2, 5], [3, 1], [5, 2], [9, 1]], 1/1382400],
[[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 1/405000],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 23/1905120],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1/17280],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 73/254016],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 733/9331200],
[[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 11/290304],
[[[1, 4], [2, 5], [3, 1], [6, 4], [9, 1]], 1/34992],
[[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 193/3919104],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 175/1679616],
[[[1, 4], [2, 5], [3, 1], [6, 5], [10, 1]], 1/466560],
[[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/60480],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 749/5038848],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 1/614400],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 187/1492992],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 7/73728],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/46080],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 271/5971968],
[[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 5/258048],
[[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 7/165888],
[[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 1/64512],
[[[1, 4], [2, 5], [3, 2], [4, 3], [18, 1]], 1/82944],
[[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/1105920],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1/221184],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 5/442368],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 59/622080],
[[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 53/648000],
[[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 47/1555200],
[[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 1/43200],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 151/1555200],
[[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 5/24192],
[[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 17/93312],
[[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 4153/7838208],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 149/279936],
[[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 2797/16796160],
[[[1, 4], [2, 5], [3, 2], [6, 4], [12, 1]], 13/186624],
[[[1, 4], [2, 5], [3, 2], [7, 1], [9, 1]], 1/580608],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 2953/13436928],
[[[1, 4], [2, 5], [3, 3], [4, 1], [10, 2]], 1/829440],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1151/6718464],
[[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 5/2322432],
[[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 5/995328],
[[[1, 4], [2, 5], [3, 3], [4, 2], [14, 1]], 1/870912],
[[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1/1658880],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 289/5971968],
[[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 5/248832],
[[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 1/1658880],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 1/442368],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 1/11664],
[[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 1/34992000],
[[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 121/9331200],
[[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 199/2612736],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 43/279936],
[[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 103/559872],
[[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 223/1679616],
[[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 109/1399680],
[[[1, 4], [2, 5], [3, 3], [6, 3], [12, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/181440],
[[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 1/77760],
[[[1, 4], [2, 5], [3, 3], [10, 1], [14, 1]], 1/725760],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 269/1679616],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 511/4478976],
[[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 1/622080],
[[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 23/1492992],
[[[1, 4], [2, 5], [3, 4], [5, 1], [6, 2]], 1/207360],
[[[1, 4], [2, 5], [3, 4], [6, 1], [7, 1]], 1/14696640],
[[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 1/6298560],
[[[1, 4], [2, 5], [3, 4], [6, 1], [14, 1]], 1/373248],
[[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 53/1866240],
[[[1, 4], [2, 5], [3, 5], [4, 1], [6, 2]], 11/2239488],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 1/699840],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 3]], 1/12441600],
[[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1/268800],
[[[1, 4], [2, 5], [4, 1], [5, 2], [14, 1]], 1/134400],
[[[1, 4], [2, 5], [4, 1], [5, 2], [18, 1]], 1/172800],
[[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 1/288000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 1/32000],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 23/169344],
[[[1, 4], [2, 5], [4, 1], [6, 1], [18, 2]], 1/31104],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 1/82944],
[[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 197/12441600],
[[[1, 4], [2, 5], [4, 1], [6, 4], [7, 1]], 1/145152],
[[[1, 4], [2, 5], [4, 1], [6, 4], [9, 1]], 1/186624],
[[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 53/5225472],
[[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 53/2239488],
[[[1, 4], [2, 5], [4, 1], [6, 5], [8, 1]], 1/2985984],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 1/7168],
[[[1, 4], [2, 5], [4, 1], [7, 1], [10, 2]], 1/8960],
[[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/3072],
[[[1, 4], [2, 5], [4, 1], [9, 1], [10, 2]], 1/11520],
[[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1/28800],
[[[1, 4], [2, 5], [4, 1], [10, 2], [18, 1]], 1/172800],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 1/207360],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 7/20480],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 53/144000],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/86400],
[[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 1/25600],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 1027/4608000],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 13/55296],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 461/5529600],
[[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 19/387072],
[[[1, 4], [2, 5], [4, 2], [6, 3], [9, 1]], 7/186624],
[[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 613/6967296],
[[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 17/110592],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 7/248832],
[[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 77/7464960],
[[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 5], [4, 2], [7, 1], [18, 1]], 1/16128],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 1/3200],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 1/1280],
[[[1, 4], [2, 5], [4, 2], [9, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 5], [4, 2], [14, 1], [18, 1]], 1/16128],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 1/1658880],
[[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 1/215040],
[[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 5], [4, 3], [5, 1], [18, 1]], 1/23040],
[[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 1/153600],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/2304],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 107/1382400],
[[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 1/64512],
[[[1, 4], [2, 5], [4, 3], [6, 2], [9, 1]], 1/82944],
[[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 23/387072],
[[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 13/124416],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 31/497664],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 25/995328],
[[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 1/110592],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 103/516096],
[[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 1/17920],
[[[1, 4], [2, 5], [4, 3], [8, 1], [9, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 13/32256],
[[[1, 4], [2, 5], [4, 3], [8, 1], [18, 1]], 1/4608],
[[[1, 4], [2, 5], [4, 3], [9, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 23/322560],
[[[1, 4], [2, 5], [4, 3], [10, 1], [18, 1]], 1/23040],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 1/24576],
[[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 1/49152],
[[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 1/172032],
[[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 1/73728],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 1/49152],
[[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 1/368640],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 3/40960],
[[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 17/86400],
[[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 19/544320],
[[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 1/15552],
[[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 49/3110400],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/7680],
[[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 23/4536000],
[[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 1/8640],
[[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 1/12800],
[[[1, 4], [2, 5], [6, 1], [7, 1], [10, 2]], 1/14400],
[[[1, 4], [2, 5], [6, 1], [9, 1], [10, 2]], 7/129600],
[[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 61/9676800],
[[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 13/4147200],
[[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 5/84672],
[[[1, 4], [2, 5], [6, 2], [7, 1], [18, 1]], 1/18144],
[[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 1/46080],
[[[1, 4], [2, 5], [6, 2], [9, 1], [14, 1]], 5/108864],
[[[1, 4], [2, 5], [6, 2], [9, 1], [18, 1]], 1/23328],
[[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 61/1741824],
[[[1, 4], [2, 5], [6, 3], [7, 1], [10, 1]], 1/60480],
[[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 1/96768],
[[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 5], [6, 3], [9, 1], [10, 1]], 1/77760],
[[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 1/181440],
[[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 1/77760],
[[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 1/7840],
[[[1, 4], [2, 5], [9, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 35/248832],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 8039/35831808],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 1/73728],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 53/921600],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 49/497664],
[[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 1/442368],
[[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 7/1327104],
[[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 5/129024],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 1/1474560],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 1/36864],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 13/294912],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1/61440],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 5/1179648],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 11/186624],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 29/864000],
[[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 17/10368000],
[[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 1/576000],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 5033/12441600],
[[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 1/12096],
[[[1, 4], [2, 7], [3, 1], [6, 3], [9, 1]], 11/186624],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 5423/15676416],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 509/2239488],
[[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 1/20736],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 115/559872],
[[[1, 4], [2, 7], [3, 1], [6, 4], [12, 1]], 103/2239488],
[[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 19/109734912],
[[[1, 4], [2, 7], [3, 1], [10, 2], [12, 1]], 1/55296],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 1/165888000],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 42823/100776960],
[[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 209/15552000],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 1249/4976640],
[[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1/193536],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 391/3981312],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 5/1769472],
[[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/276480],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 11/589824],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1/17280],
[[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/28576800],
[[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 1/12247200],
[[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 23/124416000],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 7681/248832000],
[[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 37/1451520],
[[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 47/1866240],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 44777/104509440],
[[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 4697/44789760],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 7/82944],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 188101/335923200],
[[[1, 4], [2, 7], [3, 2], [6, 3], [12, 1]], 95/995328],
[[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 37/1360800],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 125/746496],
[[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 1/69672960],
[[[1, 4], [2, 7], [3, 3], [4, 1], [9, 1]], 1/29859840],
[[[1, 4], [2, 7], [3, 3], [4, 1], [14, 1]], 1/1741824],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 1717/35831808],
[[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 1/3732480],
[[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 7/16588800],
[[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 29/11943936],
[[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 47/4665600],
[[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 1/37324800],
[[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 1/7464960],
[[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 7/22394880],
[[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 689/31352832],
[[[1, 4], [2, 7], [3, 3], [6, 1], [18, 1]], 1/13436928],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 931/13996800],
[[[1, 4], [2, 7], [3, 3], [6, 2], [12, 1]], 1/82944],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 79/67184640],
[[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 7/59719680],
[[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 13/18662400],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 137/5598720],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 26833/138240000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 1/2073600],
[[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/2304000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 107/9216000],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 10637/33177600],
[[[1, 4], [2, 7], [4, 1], [6, 3], [7, 1]], 1/16128],
[[[1, 4], [2, 7], [4, 1], [6, 3], [9, 1]], 1/20736],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 8111/41803776],
[[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 3239/17915904],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 577/11943936],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 13/155520],
[[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 13/746496],
[[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 1/18816],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 961/3686400],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 3/25600],
[[[1, 4], [2, 7], [4, 1], [9, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 7], [4, 1], [14, 1], [18, 1]], 5/72576],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 1/53760],
[[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/691200],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 137/552960],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 10333/27648000],
[[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 1/14336],
[[[1, 4], [2, 7], [4, 2], [6, 2], [9, 1]], 25/497664],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 7967/23224320],
[[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 149/552960],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 821/3981312],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 1969/7464960],
[[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 13/221184],
[[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 47/1290240],
[[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 31/537600],
[[[1, 4], [2, 7], [4, 2], [8, 1], [9, 1]], 1/51840],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 11/28672],
[[[1, 4], [2, 7], [4, 2], [8, 1], [18, 1]], 5/55296],
[[[1, 4], [2, 7], [4, 2], [9, 1], [10, 1]], 7/230400],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 5743/19353600],
[[[1, 4], [2, 7], [4, 2], [10, 1], [18, 1]], 11/138240],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 1/98304],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 427/7372800],
[[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 1/64512],
[[[1, 4], [2, 7], [4, 3], [6, 1], [9, 1]], 1/82944],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 181/1290240],
[[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 469/4976640],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 161/663552],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 1499/8294400],
[[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 1/27648],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 61/184320],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 7/73728],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 31/737280],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 1/98304],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 2929/17280000],
[[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 19/226800],
[[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 1/24300],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 4213/49766400],
[[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 7], [5, 1], [9, 1], [10, 1]], 1/1036800],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 5401/48384000],
[[[1, 4], [2, 7], [5, 1], [10, 1], [18, 1]], 13/2073600],
[[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 13/806400],
[[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 17/338688],
[[[1, 4], [2, 7], [6, 1], [7, 1], [18, 1]], 1/145152],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 4], [2, 7], [6, 1], [9, 1], [14, 1]], 17/435456],
[[[1, 4], [2, 7], [6, 1], [9, 1], [18, 1]], 1/186624],
[[[1, 4], [2, 7], [6, 1], [10, 2], [12, 1]], 13/921600],
[[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 7/124416],
[[[1, 4], [2, 7], [6, 2], [7, 1], [10, 1]], 1/15120],
[[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 1/13824],
[[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 7], [6, 2], [9, 1], [10, 1]], 1/19440],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 491/2903040],
[[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 139/1244160],
[[[1, 4], [2, 7], [6, 2], [12, 1], [14, 1]], 1/43008],
[[[1, 4], [2, 7], [6, 2], [12, 1], [18, 1]], 1/165888],
[[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 7/207360],
[[[1, 4], [2, 7], [6, 3], [10, 1], [12, 1]], 7/414720],
[[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1/1161216000],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 2053/11197440],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 59/3456000],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 133849/836075520],
[[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 1/60963840],
[[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 1/26127360],
[[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 11/552960],
[[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 1/5529600],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 3223/61931520],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 17/2211840],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 17/1382400],
[[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 1/4423680],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 307/35389440],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 7087/391910400],
[[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1/812851200],
[[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 1/1045094400],
[[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 1/907200],
[[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 13/1393459200],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 80303/696729600],
[[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 59/6773760],
[[[1, 4], [2, 9], [3, 1], [6, 2], [9, 1]], 17/2612736],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 187343/1463132160],
[[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 22843/627056640],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 23/552960],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 26863/111974400],
[[[1, 4], [2, 9], [3, 1], [6, 3], [12, 1]], 253/11197440],
[[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 17/1451520],
[[[1, 4], [2, 9], [3, 1], [12, 1], [14, 1]], 1/725760],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 449861/3224862720],
[[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 1/975421440],
[[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 1/627056640],
[[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 11/5225472],
[[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/4180377600],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 39439/836075520],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 67/209018880],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 1/1658880],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 1/311040],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 17/3225600],
[[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 2063/62705664000],
[[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 23/975421440],
[[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 13/250822656],
[[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 16829/1463132160],
[[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 43/156764160],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 13/1327104],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 372103/3135283200],
[[[1, 4], [2, 9], [3, 2], [6, 2], [12, 1]], 17/3483648],
[[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1/6270566400],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 2741/250822656],
[[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 137/15049359360],
[[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 1/9953280],
[[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 487/5016453120],
[[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1/1567641600],
[[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 311/111974400],
[[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 899/22574039040],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 1727/97977600],
[[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 1/812851200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 11/1451520],
[[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 1/41472000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 37/1935360],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 132253/580608000],
[[[1, 4], [2, 9], [4, 1], [6, 2], [7, 1]], 37/1935360],
[[[1, 4], [2, 9], [4, 1], [6, 2], [9, 1]], 37/2488320],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 15923/97542144],
[[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 7751/104509440],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 443/5971968],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 109/518400],
[[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 55/1990656],
[[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 37/39813120],
[[[1, 4], [2, 9], [4, 1], [7, 1], [10, 1]], 1/107520],
[[[1, 4], [2, 9], [4, 1], [8, 1], [9, 1]], 1/1548288],
[[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 629/15482880],
[[[1, 4], [2, 9], [4, 1], [8, 1], [18, 1]], 1/276480],
[[[1, 4], [2, 9], [4, 1], [9, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 299/2150400],
[[[1, 4], [2, 9], [4, 1], [10, 1], [18, 1]], 17/691200],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 19/2764800],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 67/58060800],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 175921/27869184000],
[[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 73/9031680],
[[[1, 4], [2, 9], [4, 2], [6, 1], [9, 1]], 53/8709120],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 84379/650280960],
[[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 4493/92897280],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 12377/92897280],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 2767/10886400],
[[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 13/552960],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 137/1228800],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 1/5529600],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 13303/185794560],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 40301/464486400],
[[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 1451/101606400],
[[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 43/43545600],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 8447/232243200],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 1/1720320],
[[[1, 4], [2, 9], [6, 1], [7, 1], [10, 1]], 17/1209600],
[[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 59/1935360],
[[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 1/276480],
[[[1, 4], [2, 9], [6, 1], [9, 1], [10, 1]], 17/1555200],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 1567/14515200],
[[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 43/1382400],
[[[1, 4], [2, 9], [6, 1], [12, 1], [14, 1]], 1/258048],
[[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 13/276480],
[[[1, 4], [2, 9], [6, 2], [10, 1], [12, 1]], 5/331776],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 104681/2508226560],
[[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1/11705057280],
[[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 1/5016453120],
[[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 227/162570240],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 89/1327104000],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 1083247/50164531200],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 1867/5573836800],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 41/12902400],
[[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 233/2786918400],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 82321/22295347200],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 18019/15676416000],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 3341/20901888000],
[[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 403/3251404800],
[[[1, 4], [2, 11], [3, 1], [6, 1], [9, 1]], 43/447897600],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 7171/1371686400],
[[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 7831/9405849600],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 1/245760],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 152639/4180377600],
[[[1, 4], [2, 11], [3, 1], [6, 2], [12, 1]], 7/5971968],
[[[1, 4], [2, 11], [3, 1], [10, 1], [12, 1]], 1/5160960],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1902073/225740390400],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 161/14332723200],
[[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 13/61236000],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 45163/33443020800],
[[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 403/6967296000],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 285629/188116992000],
[[[1, 4], [2, 11], [3, 2], [6, 1], [12, 1]], 43/597196800],
[[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 3337/75246796800],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 3887/1959552000],
[[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 161/3981312000],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 40297/46448640000],
[[[1, 4], [2, 11], [4, 1], [6, 1], [7, 1]], 79/81285120],
[[[1, 4], [2, 11], [4, 1], [6, 1], [9, 1]], 79/104509440],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 36131/1828915200],
[[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 16769/3135283200],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 3727/238878720],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 3853/58060800],
[[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 29/8709120],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 3523/464486400],
[[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 17/58060800],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 16783/1393459200],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 1648769/41803776000],
[[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 113/123863040],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 41143/17418240000],
[[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 193/25804800],
[[[1, 4], [2, 11], [6, 1], [10, 1], [12, 1]], 29/33177600],
[[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 1/232243200],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 18817/8360755200],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 7/2388787200],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 289/1741824000],
[[[1, 4], [2, 13], [3, 1], [4, 1], [12, 1]], 1/185794560],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 36991/57330892800],
[[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 31/1741824000],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 53/928972800],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 44293/50164531200],
[[[1, 4], [2, 13], [3, 1], [6, 1], [12, 1]], 101/6270566400],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 15877/225740390400],
[[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 799/15676416000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 631/955514880],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 17993/3981312000],
[[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 61/1045094400],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 11359/401316249600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 1/12800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/14112],
[[[1, 5], [2, 2], [3, 1], [4, 2], [9, 2]], 1/10368],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/1960],
[[[1, 5], [2, 2], [3, 1], [5, 1], [9, 2]], 1/6480],
[[[1, 5], [2, 2], [3, 1], [5, 1], [10, 3]], 1/144000],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 4]], 1/9331200],
[[[1, 5], [2, 2], [3, 1], [5, 2], [10, 2]], 23/432000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 11/864000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 1/24000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 229/720000],
[[[1, 5], [2, 2], [3, 1], [5, 3], [12, 1]], 1/48000],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 17/508032],
[[[1, 5], [2, 2], [3, 1], [6, 2], [14, 2]], 1/3810240],
[[[1, 5], [2, 2], [3, 1], [6, 2], [18, 2]], 1/699840],
[[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/7056],
[[[1, 5], [2, 2], [3, 1], [7, 2], [10, 1]], 1/17640],
[[[1, 5], [2, 2], [3, 1], [7, 2], [12, 1]], 1/9408],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/7200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 2]], 37/112896],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 23/62208],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 1/921600],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 3]], 1/145800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/3600],
[[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 11/32400],
[[[1, 5], [2, 2], [3, 2], [5, 2], [14, 1]], 1/10080],
[[[1, 5], [2, 2], [3, 2], [5, 2], [18, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 23/144000],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 11/15876],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 2]], 13/46656],
[[[1, 5], [2, 2], [3, 2], [6, 4], [7, 1]], 5/3919104],
[[[1, 5], [2, 2], [3, 2], [6, 4], [9, 1]], 1/1679616],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 127/4147200],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 4]], 1/165888],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/36864],
[[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 1/387072],
[[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 4]], 1/699840],
[[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 323/4665600],
[[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1/259200],
[[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 569/3888000],
[[[1, 5], [2, 2], [3, 3], [5, 2], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 3], [6, 3], [7, 1]], 31/734832],
[[[1, 5], [2, 2], [3, 3], [6, 3], [9, 1]], 7/209952],
[[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 13/54432],
[[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 5/63504],
[[[1, 5], [2, 2], [3, 3], [7, 1], [18, 1]], 5/81648],
[[[1, 5], [2, 2], [3, 3], [9, 1], [14, 1]], 1/9072],
[[[1, 5], [2, 2], [3, 3], [9, 1], [18, 1]], 1/11664],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 37/1555200],
[[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 13/580608],
[[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 31/746496],
[[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 1/331776],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 3]], 41/3149280],
[[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 13/362880],
[[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 37/466560],
[[[1, 5], [2, 2], [3, 4], [5, 1], [14, 1]], 1/68040],
[[[1, 5], [2, 2], [3, 4], [5, 1], [18, 1]], 1/87480],
[[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 11/116640],
[[[1, 5], [2, 2], [3, 4], [6, 2], [7, 1]], 77/279936],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 377/839808],
[[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 1/108864],
[[[1, 5], [2, 2], [3, 4], [7, 1], [10, 1]], 1/68040],
[[[1, 5], [2, 2], [3, 4], [7, 1], [12, 1]], 1/72576],
[[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/46656],
[[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 1/29160],
[[[1, 5], [2, 2], [3, 4], [9, 1], [12, 1]], 1/31104],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 3]], 109/15116544],
[[[1, 5], [2, 2], [3, 5], [4, 1], [7, 1]], 23/1306368],
[[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 11/279936],
[[[1, 5], [2, 2], [3, 5], [4, 1], [14, 1]], 1/163296],
[[[1, 5], [2, 2], [3, 5], [4, 1], [18, 1]], 1/209952],
[[[1, 5], [2, 2], [3, 5], [4, 2], [5, 1]], 7/1866240],
[[[1, 5], [2, 2], [3, 5], [4, 2], [6, 2]], 1/746496],
[[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 5/1492992],
[[[1, 5], [2, 2], [3, 5], [4, 2], [12, 1]], 1/248832],
[[[1, 5], [2, 2], [3, 5], [5, 1], [6, 2]], 1/15552],
[[[1, 5], [2, 2], [3, 5], [5, 1], [10, 1]], 1/103680],
[[[1, 5], [2, 2], [3, 5], [6, 1], [7, 1]], 1/15309],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 29/209952],
[[[1, 5], [2, 2], [3, 5], [6, 1], [14, 1]], 1/40824],
[[[1, 5], [2, 2], [3, 5], [6, 1], [18, 1]], 1/52488],
[[[1, 5], [2, 2], [3, 5], [6, 2], [10, 1]], 1/87480],
[[[1, 5], [2, 2], [3, 5], [6, 2], [12, 1]], 11/139968],
[[[1, 5], [2, 2], [3, 6], [4, 1], [5, 1]], 1/2799360],
[[[1, 5], [2, 2], [3, 6], [4, 1], [8, 1]], 1/3359232],
[[[1, 5], [2, 2], [3, 6], [5, 1], [6, 1]], 1/349920],
[[[1, 5], [2, 2], [3, 7], [4, 1], [6, 1]], 7/5038848],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 1/3920],
[[[1, 5], [2, 2], [4, 1], [5, 1], [10, 3]], 1/192000],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1/25600],
[[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 67/384000],
[[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 9/64000],
[[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 17/192000],
[[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 1/1792],
[[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/8400],
[[[1, 5], [2, 2], [4, 2], [5, 2], [9, 1]], 1/11520],
[[[1, 5], [2, 2], [4, 2], [5, 3], [6, 1]], 1/48000],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 11/21504],
[[[1, 5], [2, 2], [4, 2], [8, 2], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1/10240],
[[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 1/153600],
[[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 17/307200],
[[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 1/153600],
[[[1, 5], [2, 2], [4, 3], [8, 1], [10, 2]], 1/614400],
[[[1, 5], [2, 2], [5, 2], [6, 1], [10, 2]], 113/1440000],
[[[1, 5], [2, 2], [5, 2], [6, 2], [7, 1]], 1/151200],
[[[1, 5], [2, 2], [5, 2], [6, 3], [10, 1]], 1/7776000],
[[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 1/16800],
[[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/2625],
[[[1, 5], [2, 2], [5, 2], [9, 1], [10, 1]], 1/10800],
[[[1, 5], [2, 2], [5, 2], [10, 1], [14, 1]], 11/84000],
[[[1, 5], [2, 2], [5, 2], [10, 1], [18, 1]], 1/108000],
[[[1, 5], [2, 2], [5, 3], [6, 1], [10, 1]], 1/90000],
[[[1, 5], [2, 2], [5, 3], [6, 1], [12, 1]], 1/72000],
[[[1, 5], [2, 2], [6, 1], [7, 2], [10, 1]], 1/17640],
[[[1, 5], [2, 2], [6, 1], [7, 2], [12, 1]], 1/14112],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 1/32000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 23/169344],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 2]], 1/31104],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 1/288000],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 107/1382400],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 23/1492992],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 1/153600],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 1/442368],
[[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 1/172032],
[[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 1/73728],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 121/9331200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 61/9676800],
[[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 13/4147200],
[[[1, 5], [2, 4], [3, 1], [5, 2], [14, 1]], 1/14400],
[[[1, 5], [2, 4], [3, 1], [5, 2], [18, 1]], 7/129600],
[[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 73/254016],
[[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 1/405000],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 23/1905120],
[[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 1/34992000],
[[[1, 5], [2, 4], [3, 1], [6, 4], [7, 1]], 1/373248],
[[[1, 5], [2, 4], [3, 1], [6, 4], [14, 1]], 1/14696640],
[[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 1/6298560],
[[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 23/4536000],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 5]], 11/2239488],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 461/5529600],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 511/4478976],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 13/55296],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/86400],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 289/5971968],
[[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 23/387072],
[[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 13/124416],
[[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 1/64512],
[[[1, 5], [2, 4], [3, 2], [4, 3], [18, 1]], 1/82944],
[[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 1/368640],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1/221184],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 1/49152],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 53/1866240],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 1/8640],
[[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 151/1555200],
[[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 17/86400],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 47/1555200],
[[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 103/559872],
[[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 223/1679616],
[[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 199/2612736],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 43/279936],
[[[1, 5], [2, 4], [3, 2], [6, 4], [10, 1]], 1/207360],
[[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 61/1741824],
[[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 5/84672],
[[[1, 5], [2, 4], [3, 2], [7, 1], [18, 1]], 5/108864],
[[[1, 5], [2, 4], [3, 2], [9, 1], [14, 1]], 1/18144],
[[[1, 5], [2, 4], [3, 2], [9, 1], [18, 1]], 1/23328],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 197/12441600],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 269/1679616],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 1/82944],
[[[1, 5], [2, 4], [3, 3], [4, 1], [10, 2]], 1/12441600],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1151/6718464],
[[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 613/6967296],
[[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 17/110592],
[[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 19/387072],
[[[1, 5], [2, 4], [3, 3], [4, 2], [18, 1]], 7/186624],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 25/995328],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 271/5971968],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 31/497664],
[[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 1/1658880],
[[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 1/110592],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 1/442368],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 109/1399680],
[[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 1/181440],
[[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 1/77760],
[[[1, 5], [2, 4], [3, 3], [5, 1], [14, 1]], 1/60480],
[[[1, 5], [2, 4], [3, 3], [5, 1], [18, 1]], 1/77760],
[[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 733/9331200],
[[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 1/103680],
[[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 4153/7838208],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 149/279936],
[[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 5/24192],
[[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 17/93312],
[[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 1/11664],
[[[1, 5], [2, 4], [3, 3], [6, 3], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 1/96768],
[[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 19/544320],
[[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 1/15552],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 2953/13436928],
[[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 53/5225472],
[[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 53/2239488],
[[[1, 5], [2, 4], [3, 4], [4, 1], [14, 1]], 1/145152],
[[[1, 5], [2, 4], [3, 4], [4, 1], [18, 1]], 1/186624],
[[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 77/7464960],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 187/1492992],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 7/248832],
[[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 1/207360],
[[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 41/1990656],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 2797/16796160],
[[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 49/3110400],
[[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 193/3919104],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 175/1679616],
[[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 11/290304],
[[[1, 5], [2, 4], [3, 4], [6, 1], [18, 1]], 1/34992],
[[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 59/622080],
[[[1, 5], [2, 4], [3, 4], [6, 2], [12, 1]], 13/186624],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 749/5038848],
[[[1, 5], [2, 4], [3, 5], [4, 1], [8, 1]], 1/2985984],
[[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 1/699840],
[[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 47/1119744],
[[[1, 5], [2, 4], [3, 5], [5, 1], [6, 1]], 1/466560],
[[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 1/174960],
[[[1, 5], [2, 4], [3, 6], [4, 1], [6, 1]], 5/4478976],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 3]], 1/829440],
[[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1/28800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [9, 1]], 1/172800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [14, 1]], 1/8960],
[[[1, 5], [2, 4], [4, 1], [5, 2], [18, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 1/48000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/18816],
[[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 1/576000],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/112896],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 4], [4, 1], [7, 1], [10, 2]], 1/134400],
[[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 1/7168],
[[[1, 5], [2, 4], [4, 1], [9, 1], [10, 2]], 1/172800],
[[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1/268800],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 1/622080],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 1/1280],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 1027/4608000],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/46080],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 1/3200],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 53/144000],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 7/73728],
[[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 1/614400],
[[[1, 5], [2, 4], [4, 2], [6, 3], [7, 1]], 1/870912],
[[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 5/2322432],
[[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 5/995328],
[[[1, 5], [2, 4], [4, 2], [7, 1], [9, 1]], 1/16128],
[[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [4, 2], [7, 1], [18, 1]], 1/12096],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 1/25600],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 7/20480],
[[[1, 5], [2, 4], [4, 2], [9, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 1/1658880],
[[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 23/322560],
[[[1, 5], [2, 4], [4, 3], [5, 1], [9, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 1/17920],
[[[1, 5], [2, 4], [4, 3], [5, 1], [18, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1/25600],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 1/102400],
[[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 1/64512],
[[[1, 5], [2, 4], [4, 3], [6, 2], [9, 1]], 1/82944],
[[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 5/258048],
[[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 7/165888],
[[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 5/248832],
[[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1/1658880],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 13/32256],
[[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 1/17920],
[[[1, 5], [2, 4], [4, 3], [8, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 103/516096],
[[[1, 5], [2, 4], [4, 3], [8, 1], [18, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 3], [9, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 1/215040],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 3/40960],
[[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 1/49152],
[[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 1/258048],
[[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 1/110592],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 5/442368],
[[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/1105920],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 1/24576],
[[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 1/43200],
[[[1, 5], [2, 4], [5, 1], [6, 3], [7, 1]], 1/725760],
[[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/181440],
[[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 1/77760],
[[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 1/7840],
[[[1, 5], [2, 4], [5, 1], [7, 1], [18, 1]], 1/10080],
[[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/60480],
[[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 53/648000],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 1/3225600],
[[[1, 5], [2, 4], [6, 1], [10, 2], [18, 1]], 1/1382400],
[[[1, 5], [2, 4], [6, 2], [14, 1], [18, 1]], 1/580608],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 221/6718464],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 61/5529600],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 2407/11943936],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1/6144],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 1/19200],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 59/331776],
[[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 23/516096],
[[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 1/24576],
[[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 13/129024],
[[[1, 5], [2, 6], [3, 1], [4, 3], [18, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 1/32768],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 119/1769472],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 139/884736],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1/30720],
[[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 1/98304],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 5/589824],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 329/7464960],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 97/1152000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 61/5184000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 119/3456000],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 96629/746496000],
[[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 11041/104509440],
[[[1, 5], [2, 6], [3, 1], [6, 3], [9, 1]], 2401/44789760],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 115571/940584960],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 15353/134369280],
[[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 1/62208],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 3169/83980800],
[[[1, 5], [2, 6], [3, 1], [6, 4], [12, 1]], 7/995328],
[[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 23/8709120],
[[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 1/1128960],
[[[1, 5], [2, 6], [3, 1], [7, 1], [18, 1]], 1/1451520],
[[[1, 5], [2, 6], [3, 1], [9, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 6], [3, 1], [9, 1], [18, 1]], 1/622080],
[[[1, 5], [2, 6], [3, 1], [10, 2], [12, 1]], 13/921600],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 7/3686400],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 379/839808],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/73728],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/38400],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 4799/8957952],
[[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 11/663552],
[[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 31/995328],
[[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 41/1161216],
[[[1, 5], [2, 6], [3, 2], [4, 2], [18, 1]], 5/497664],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 17/1105920],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 295/995328],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 17/147456],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 7/276480],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 161/2654208],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 7/38880],
[[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 1/1814400],
[[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 1/777600],
[[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 1139/248832000],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 7769/248832000],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 1075/5225472],
[[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 419/3732480],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 5681/11612160],
[[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 7609/44789760],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/9216],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1091/2799360],
[[[1, 5], [2, 6], [3, 2], [6, 3], [12, 1]], 7/62208],
[[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 1/72576],
[[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 1/77760],
[[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 1/30240],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 9533/20155392],
[[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 5/4644864],
[[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 5/1990656],
[[[1, 5], [2, 6], [3, 3], [4, 1], [14, 1]], 5/5225472],
[[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 1/663552],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 13075/35831808],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 19/1327104],
[[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 41/3317760],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 1169/11943936],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 3401/37324800],
[[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 979/149299200],
[[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 1817/313528320],
[[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 119/8957952],
[[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 17/258048],
[[[1, 5], [2, 6], [3, 3], [6, 1], [18, 1]], 73/8957952],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 1/27648],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 185/1119744],
[[[1, 5], [2, 6], [3, 3], [6, 2], [12, 1]], 19/331776],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 113/1119744],
[[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 1/622080],
[[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 241/11943936],
[[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 1/20995200],
[[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/103680],
[[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/50388480],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 23/1866240],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 1/20480],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 3233/9216000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/115200],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 103/18432000],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 779/5529600],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1/18432],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 1753/33177600],
[[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 5/165888],
[[[1, 5], [2, 6], [4, 1], [6, 3], [9, 1]], 13/559872],
[[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 191/4644864],
[[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 361/5971968],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 137/11943936],
[[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 53/7464960],
[[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 13/112896],
[[[1, 5], [2, 6], [4, 1], [7, 1], [18, 1]], 1/48384],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 2663/18432000],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 5], [2, 6], [4, 1], [9, 1], [14, 1]], 5/72576],
[[[1, 5], [2, 6], [4, 1], [14, 1], [18, 1]], 1/48384],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 389/9953280],
[[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 1/86016],
[[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 41/322560],
[[[1, 5], [2, 6], [4, 2], [5, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 1/92160],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 25/73728],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 17/115200],
[[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 143/1161216],
[[[1, 5], [2, 6], [4, 2], [6, 2], [9, 1]], 13/165888],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 71/387072],
[[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 29/165888],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 1/7776],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 239/3317760],
[[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 5/663552],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 67/258048],
[[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 59/322560],
[[[1, 5], [2, 6], [4, 2], [8, 1], [9, 1]], 5/55296],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 11/21504],
[[[1, 5], [2, 6], [4, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 5], [2, 6], [4, 2], [9, 1], [10, 1]], 11/138240],
[[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 29/161280],
[[[1, 5], [2, 6], [4, 2], [10, 1], [18, 1]], 1/27648],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 7/276480],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 1/4608],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 4387/22118400],
[[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 11/129024],
[[[1, 5], [2, 6], [4, 3], [6, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 151/1032192],
[[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 145/1327104],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 1555/5308416],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 53/368640],
[[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 1/36864],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 3491/7372800],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 1/61440],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 43/221184],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 143/2211840],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 1/49152],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1097/6912000],
[[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 1/15120],
[[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 1/19440],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 181/3732480],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 157/3225600],
[[[1, 5], [2, 6], [5, 1], [9, 1], [10, 1]], 13/2073600],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 731/4838400],
[[[1, 5], [2, 6], [5, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 3581/51840000],
[[[1, 5], [2, 6], [5, 2], [6, 1], [12, 1]], 1/4608000],
[[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 1/25088],
[[[1, 5], [2, 6], [6, 1], [7, 1], [18, 1]], 1/96768],
[[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 7/230400],
[[[1, 5], [2, 6], [6, 1], [9, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 6], [6, 1], [9, 1], [18, 1]], 1/124416],
[[[1, 5], [2, 6], [6, 1], [10, 2], [12, 1]], 1/4608000],
[[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 43/2903040],
[[[1, 5], [2, 6], [6, 2], [7, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 5/193536],
[[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 6], [6, 2], [9, 1], [10, 1]], 7/311040],
[[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 113/7257600],
[[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 53/3110400],
[[[1, 5], [2, 6], [6, 2], [12, 1], [14, 1]], 1/1935360],
[[[1, 5], [2, 6], [6, 2], [12, 1], [18, 1]], 1/829440],
[[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 1/138240],
[[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 1/17920],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 41/746496000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 269039/1074954240],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 2621/82944000],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 4057/9953280],
[[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 19/20643840],
[[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 19/8847360],
[[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 13/258048],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 11/2457600],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 2939/13934592],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 163/2949120],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 101/1843200],
[[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 1/276480],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 2197/35389440],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 607/9331200],
[[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 577/7315660800],
[[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 191/3135283200],
[[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 1/322560],
[[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 3959/10450944000],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 3764279/26127360000],
[[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 23/645120],
[[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 173/7464960],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 4054661/21946982400],
[[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 287603/4702924800],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 7/110592],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 1546711/6718464000],
[[[1, 5], [2, 8], [3, 1], [6, 3], [12, 1]], 41/1492992],
[[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 1/4838400],
[[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 1/2073600],
[[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 181/6804000],
[[[1, 5], [2, 8], [3, 1], [12, 1], [14, 1]], 1/258048],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 477013/1074954240],
[[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 19/292626432],
[[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 19/188116992],
[[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 1/90720],
[[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 1/66355200],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 10249/39813120],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 253/39813120],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 269/24883200],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 4123/79626240],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 397/12441600],
[[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 631/1254113280],
[[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 2827/4389396480],
[[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 1943/1881169920],
[[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 347/8709120],
[[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 1/699840],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 7/147456],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 4099/14929920],
[[[1, 5], [2, 8], [3, 2], [6, 2], [12, 1]], 43/2488320],
[[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 97/9405849600],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 502591/7524679680],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 221/3762339840],
[[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 17/49766400],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 1499/358318080],
[[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 37/391910400],
[[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1441/89579520],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 11/35831808],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 229/4665600],
[[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 19/243855360],
[[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 1/25200],
[[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/1382400],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 1/23040],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 17803/82944000],
[[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 19/387072],
[[[1, 5], [2, 8], [4, 1], [6, 2], [9, 1]], 55/1492992],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 19/107520],
[[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 683/7464960],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 5/62208],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 8929/59719680],
[[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 1/49152],
[[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 19/3048192],
[[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 61/1612800],
[[[1, 5], [2, 8], [4, 1], [8, 1], [9, 1]], 1/276480],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 703/7741440],
[[[1, 5], [2, 8], [4, 1], [8, 1], [18, 1]], 7/829440],
[[[1, 5], [2, 8], [4, 1], [9, 1], [10, 1]], 17/691200],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 83/460800],
[[[1, 5], [2, 8], [4, 1], [10, 1], [18, 1]], 5/165888],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 419/8294400],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 253/11059200],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 109591/1548288000],
[[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 517/11612160],
[[[1, 5], [2, 8], [4, 2], [6, 1], [9, 1]], 13/414720],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 1903/7741440],
[[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 83/829440],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 7043/26542080],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 1937/5529600],
[[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 13/331776],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 2179/7372800],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 19/1382400],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 46159/185794560],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 4813/22118400],
[[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 5/294912],
[[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 1/2419200],
[[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 1/25200],
[[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 1/194400],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 3551/49766400],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 1/245760],
[[[1, 5], [2, 8], [6, 1], [7, 1], [10, 1]], 5/193536],
[[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 61/1548288],
[[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 5/663552],
[[[1, 5], [2, 8], [6, 1], [9, 1], [10, 1]], 5/248832],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 2417/29030400],
[[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 167/6220800],
[[[1, 5], [2, 8], [6, 1], [12, 1], [14, 1]], 1/241920],
[[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 23/552960],
[[[1, 5], [2, 8], [6, 2], [10, 1], [12, 1]], 13/1382400],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 261071/1881169920],
[[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 13/1950842880],
[[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 11/836075520],
[[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 473/69672960],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 197/265420800],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 251687/2229534720],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 10327/3344302080],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 79/5529600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 113/123863040],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 1957951/66886041600],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 913/116121600],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 4117/5225472000],
[[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 7331/7315660800],
[[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 11/14515200],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 12774617/658409472000],
[[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 459001/141087744000],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 193/11612160],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 5755513/62705664000],
[[[1, 5], [2, 10], [3, 1], [6, 2], [12, 1]], 41/9953280],
[[[1, 5], [2, 10], [3, 1], [10, 1], [12, 1]], 29/33177600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1/1393459200],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 26737/501645312],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 8779/50164531200],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 1963/1045094400],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 54749/5016453120],
[[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 61/130636800],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 174283/20901888000],
[[[1, 5], [2, 10], [3, 2], [6, 1], [12, 1]], 157/278691840],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 19993/25082265600],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 4889/348364800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 2923/4644864000],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 14587/1857945600],
[[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 157/27095040],
[[[1, 5], [2, 10], [4, 1], [6, 1], [9, 1]], 29/6531840],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 11749/216760320],
[[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 12869/836075520],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 10135/222953472],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 383/2867200],
[[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 19/2211840],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 697/24576000],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 3989/696729600],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 533/9289728],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 5707/44236800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 11/2654208],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 40519/3483648000],
[[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 193/11059200],
[[[1, 5], [2, 10], [6, 1], [10, 1], [12, 1]], 101/55296000],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 1303/27869184000],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 153091/10749542400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 1633/33443020800],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 11969/10450944000],
[[[1, 5], [2, 12], [3, 1], [4, 1], [12, 1]], 61/1045094400],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 154561/26754416640],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 583/3344302080],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 83/174182400],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 8757607/1881169920000],
[[[1, 5], [2, 12], [3, 1], [6, 1], [12, 1]], 1/9289728],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 23131/30098718720],
[[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 3643/5225472000],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 16697/4180377600],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 759623/41803776000],
[[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 1/3096576],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 724799/2407897497600],
[[[1, 5], [3, 1], [4, 1], [5, 3], [8, 1]], 1/48000],
[[[1, 5], [3, 1], [4, 1], [7, 2], [8, 1]], 1/28224],
[[[1, 5], [3, 1], [4, 2], [5, 2], [7, 1]], 1/806400],
[[[1, 5], [3, 1], [4, 2], [5, 2], [9, 1]], 1/345600],
[[[1, 5], [3, 1], [5, 2], [6, 2], [7, 1]], 1/302400],
[[[1, 5], [3, 1], [5, 2], [7, 1], [12, 1]], 1/50400],
[[[1, 5], [3, 2], [4, 2], [7, 1], [9, 1]], 1/145152],
[[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/1890],
[[[1, 5], [3, 2], [6, 2], [7, 1], [9, 1]], 1/54432],
[[[1, 5], [3, 2], [7, 1], [9, 1], [12, 1]], 1/9072],
[[[1, 5], [3, 3], [4, 1], [5, 2], [8, 1]], 1/259200],
[[[1, 5], [3, 3], [5, 1], [6, 2], [7, 1]], 1/90720],
[[[1, 5], [3, 3], [5, 1], [6, 2], [9, 1]], 1/38880],
[[[1, 5], [3, 3], [5, 1], [7, 1], [12, 1]], 1/15120],
[[[1, 5], [3, 3], [5, 1], [9, 1], [12, 1]], 1/6480],
[[[1, 5], [3, 4], [4, 1], [7, 1], [8, 1]], 1/108864],
[[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 1/46656],
[[[1, 5], [4, 1], [5, 2], [7, 1], [8, 1]], 1/67200],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 1/288000],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/112896],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/2205],
[[[1, 6], [2, 1], [3, 1], [5, 1], [9, 2]], 1/9720],
[[[1, 6], [2, 1], [3, 1], [5, 1], [10, 3]], 1/2160000],
[[[1, 6], [2, 1], [3, 1], [5, 2], [10, 2]], 1/57600],
[[[1, 6], [2, 1], [3, 1], [5, 3], [6, 2]], 1/432000],
[[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 1/48000],
[[[1, 6], [2, 1], [3, 1], [5, 3], [10, 1]], 133/2160000],
[[[1, 6], [2, 1], [3, 1], [5, 3], [12, 1]], 1/72000],
[[[1, 6], [2, 1], [3, 1], [6, 2], [7, 2]], 1/84672],
[[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/28224],
[[[1, 6], [2, 1], [3, 1], [7, 2], [12, 1]], 1/14112],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 19/216000],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 11/112896],
[[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 19/186624],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 1/2764800],
[[[1, 6], [2, 1], [3, 2], [5, 2], [6, 3]], 1/699840],
[[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 107/302400],
[[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 17/43200],
[[[1, 6], [2, 1], [3, 2], [5, 2], [14, 1]], 13/302400],
[[[1, 6], [2, 1], [3, 2], [5, 2], [18, 1]], 13/388800],
[[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 29/480000],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 31/169344],
[[[1, 6], [2, 1], [3, 2], [6, 1], [9, 2]], 1/23328],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 1/2073600],
[[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 1/82944],
[[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/1161216],
[[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 1/497664],
[[[1, 6], [2, 1], [3, 3], [5, 2], [6, 2]], 1/103680],
[[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 1/259200],
[[[1, 6], [2, 1], [3, 3], [5, 2], [10, 1]], 29/864000],
[[[1, 6], [2, 1], [3, 3], [5, 2], [12, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 3], [6, 3], [7, 1]], 103/8817984],
[[[1, 6], [2, 1], [3, 3], [6, 3], [9, 1]], 7/1259712],
[[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 43/163296],
[[[1, 6], [2, 1], [3, 3], [7, 1], [14, 1]], 1/54432],
[[[1, 6], [2, 1], [3, 3], [7, 1], [18, 1]], 1/69984],
[[[1, 6], [2, 1], [3, 3], [9, 1], [14, 1]], 1/54432],
[[[1, 6], [2, 1], [3, 3], [9, 1], [18, 1]], 1/69984],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 29/933120],
[[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1/870912],
[[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 1/373248],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 3]], 41/3149280],
[[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 23/233280],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 13/77760],
[[[1, 6], [2, 1], [3, 4], [5, 1], [14, 1]], 1/68040],
[[[1, 6], [2, 1], [3, 4], [5, 1], [18, 1]], 1/87480],
[[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 91/1166400],
[[[1, 6], [2, 1], [3, 4], [6, 2], [7, 1]], 5/653184],
[[[1, 6], [2, 1], [3, 4], [6, 2], [9, 1]], 1/93312],
[[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 1/108864],
[[[1, 6], [2, 1], [3, 4], [7, 1], [12, 1]], 5/108864],
[[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/46656],
[[[1, 6], [2, 1], [3, 4], [9, 1], [12, 1]], 1/15552],
[[[1, 6], [2, 1], [3, 5], [4, 1], [7, 1]], 1/62208],
[[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 23/839808],
[[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 1/373248],
[[[1, 6], [2, 1], [3, 5], [5, 1], [6, 2]], 1/699840],
[[[1, 6], [2, 1], [3, 5], [5, 1], [10, 1]], 17/5598720],
[[[1, 6], [2, 1], [3, 5], [5, 1], [12, 1]], 1/116640],
[[[1, 6], [2, 1], [3, 5], [6, 1], [7, 1]], 55/979776],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 37/419904],
[[[1, 6], [2, 1], [3, 6], [4, 1], [5, 1]], 29/8398080],
[[[1, 6], [2, 1], [3, 6], [4, 1], [6, 2]], 1/1679616],
[[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 1/1119744],
[[[1, 6], [2, 1], [3, 6], [4, 1], [12, 1]], 1/279936],
[[[1, 6], [2, 1], [3, 6], [5, 1], [6, 1]], 1/69984],
[[[1, 6], [2, 1], [3, 6], [6, 1], [10, 1]], 1/1574640],
[[[1, 6], [2, 1], [3, 6], [6, 1], [12, 1]], 19/1259712],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 6], [2, 1], [4, 1], [5, 2], [10, 2]], 1/76800],
[[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 31/960000],
[[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 19/112896],
[[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/268800],
[[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1/21504],
[[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 1/614400],
[[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 1/67200],
[[[1, 6], [2, 1], [5, 2], [7, 1], [10, 1]], 13/252000],
[[[1, 6], [2, 1], [5, 2], [9, 1], [10, 1]], 1/108000],
[[[1, 6], [2, 1], [5, 3], [6, 1], [10, 1]], 1/900000],
[[[1, 6], [2, 1], [5, 3], [6, 1], [12, 1]], 1/720000],
[[[1, 6], [2, 1], [6, 1], [7, 2], [10, 1]], 1/105840],
[[[1, 6], [2, 1], [6, 1], [7, 2], [12, 1]], 1/84672],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 11/48000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 37/84672],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 2]], 1/10368],
[[[1, 6], [2, 3], [3, 1], [4, 1], [10, 3]], 1/4320000],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 7/92160],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 1/4608],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/1327104],
[[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 1/258048],
[[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 1/110592],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 29/9331200],
[[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 3149/9676800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 271/1382400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [14, 1]], 11/100800],
[[[1, 6], [2, 3], [3, 1], [5, 2], [18, 1]], 11/129600],
[[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 1/9600],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 43/84672],
[[[1, 6], [2, 3], [3, 1], [6, 1], [10, 3]], 1/6480000],
[[[1, 6], [2, 3], [3, 1], [6, 1], [14, 2]], 1/1270080],
[[[1, 6], [2, 3], [3, 1], [6, 4], [7, 1]], 1/870912],
[[[1, 6], [2, 3], [3, 1], [10, 2], [14, 1]], 1/3024000],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 557/2073600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 7/36864],
[[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 1/691200],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 17/663552],
[[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/21504],
[[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 1/294912],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 5/442368],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 4]], 11/5598720],
[[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/43200],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 809/9331200],
[[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 343/1296000],
[[[1, 6], [2, 3], [3, 2], [5, 2], [12, 1]], 7/172800],
[[[1, 6], [2, 3], [3, 2], [6, 2], [10, 2]], 1/3888000],
[[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 19/1679616],
[[[1, 6], [2, 3], [3, 2], [6, 3], [14, 1]], 1/1632960],
[[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 1/699840],
[[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 349/1741824],
[[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 1/9408],
[[[1, 6], [2, 3], [3, 2], [7, 1], [18, 1]], 1/12096],
[[[1, 6], [2, 3], [3, 2], [9, 1], [14, 1]], 1/18144],
[[[1, 6], [2, 3], [3, 2], [9, 1], [18, 1]], 1/23328],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 2203/12441600],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 4]], 59/6718464],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/41472],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 137/2239488],
[[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 107/653184],
[[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 11/46656],
[[[1, 6], [2, 3], [3, 3], [4, 2], [14, 1]], 1/48384],
[[[1, 6], [2, 3], [3, 3], [4, 2], [18, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 5/221184],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 35/663552],
[[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 1/110592],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 1/1327104],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 53/1049760],
[[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 97/725760],
[[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 13/77760],
[[[1, 6], [2, 3], [3, 3], [5, 1], [14, 1]], 11/181440],
[[[1, 6], [2, 3], [3, 3], [5, 1], [18, 1]], 11/233280],
[[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1123/3110400],
[[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 1/518400],
[[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 7403/11757312],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 803/1679616],
[[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 3], [6, 3], [10, 1]], 1/77760],
[[[1, 6], [2, 3], [3, 3], [6, 3], [12, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 13/290304],
[[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 97/1632960],
[[[1, 6], [2, 3], [3, 3], [7, 1], [12, 1]], 5/145152],
[[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 19/233280],
[[[1, 6], [2, 3], [3, 3], [9, 1], [12, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1357/20155392],
[[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 487/5225472],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 331/2239488],
[[[1, 6], [2, 3], [3, 4], [4, 1], [14, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 4], [4, 1], [18, 1]], 7/279936],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 247/3732480],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 11/248832],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 41/746496],
[[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 7/248832],
[[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 13/1990656],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1609/4199040],
[[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 1/155520],
[[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 403/9331200],
[[[1, 6], [2, 3], [3, 4], [5, 1], [12, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 323/1306368],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 173/559872],
[[[1, 6], [2, 3], [3, 4], [6, 1], [14, 1]], 1/13608],
[[[1, 6], [2, 3], [3, 4], [6, 1], [18, 1]], 1/17496],
[[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 1/29160],
[[[1, 6], [2, 3], [3, 4], [6, 2], [12, 1]], 13/93312],
[[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 29/1866240],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1567/13436928],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 31/2985984],
[[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 1/233280],
[[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 1/248832],
[[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 5/139968],
[[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 11/174960],
[[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 1/93312],
[[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 13/699840],
[[[1, 6], [2, 3], [3, 5], [6, 1], [12, 1]], 13/559872],
[[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 215/6718464],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 3]], 1/1382400],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 131/403200],
[[[1, 6], [2, 3], [4, 1], [5, 2], [9, 1]], 1/11520],
[[[1, 6], [2, 3], [4, 1], [5, 2], [14, 1]], 3/44800],
[[[1, 6], [2, 3], [4, 1], [5, 2], [18, 1]], 1/19200],
[[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 1/48000],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 5/56448],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 5/21504],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 83/153600],
[[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 11/512000],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 37/102400],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 59/384000],
[[[1, 6], [2, 3], [4, 2], [6, 3], [7, 1]], 1/3483648],
[[[1, 6], [2, 3], [4, 2], [7, 1], [9, 1]], 1/12096],
[[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 1/37632],
[[[1, 6], [2, 3], [4, 2], [7, 1], [18, 1]], 1/48384],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 1/307200],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/13440],
[[[1, 6], [2, 3], [4, 3], [5, 1], [9, 1]], 1/23040],
[[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/30720],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 1/12288],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 5/21504],
[[[1, 6], [2, 3], [4, 3], [8, 1], [9, 1]], 1/9216],
[[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 1/172032],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 1/24576],
[[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 1/98304],
[[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 1/1032192],
[[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 1/442368],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 1/884736],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 1/245760],
[[[1, 6], [2, 3], [5, 1], [6, 3], [7, 1]], 1/725760],
[[[1, 6], [2, 3], [5, 1], [7, 1], [9, 1]], 1/10080],
[[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 1/7840],
[[[1, 6], [2, 3], [5, 1], [7, 1], [18, 1]], 1/10080],
[[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/100800],
[[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/72000],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 11/192000],
[[[1, 6], [2, 3], [6, 1], [10, 2], [14, 1]], 1/48384000],
[[[1, 6], [2, 3], [6, 1], [10, 2], [18, 1]], 1/20736000],
[[[1, 6], [2, 3], [6, 2], [14, 1], [18, 1]], 1/8709120],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/50388480],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 17/115200],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 241/11943936],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 25/73728],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 1/92160],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 1169/11943936],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 151/1032192],
[[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 145/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 11/129024],
[[[1, 6], [2, 5], [3, 1], [4, 3], [18, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 143/2211840],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 161/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 43/221184],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 1/61440],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 1/49152],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 5/589824],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/103680],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 3581/51840000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 7769/248832000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 7/230400],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1097/6912000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [12, 1]], 1/4608000],
[[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 1139/248832000],
[[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 17/258048],
[[[1, 6], [2, 5], [3, 1], [6, 3], [9, 1]], 73/8957952],
[[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 1817/313528320],
[[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 119/8957952],
[[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 1/20995200],
[[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 43/2903040],
[[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 1/25088],
[[[1, 6], [2, 5], [3, 1], [7, 1], [18, 1]], 1/32256],
[[[1, 6], [2, 5], [3, 1], [9, 1], [14, 1]], 1/96768],
[[[1, 6], [2, 5], [3, 1], [9, 1], [18, 1]], 1/124416],
[[[1, 6], [2, 5], [3, 1], [10, 2], [12, 1]], 1/4608000],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 1753/33177600],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 113/1119744],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1/18432],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/115200],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 13075/35831808],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 71/387072],
[[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 29/165888],
[[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 143/1161216],
[[[1, 6], [2, 5], [3, 2], [4, 2], [18, 1]], 13/165888],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 53/368640],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 295/995328],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 1555/5308416],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 7/276480],
[[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 1/36864],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 119/1769472],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 185/1119744],
[[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 113/7257600],
[[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 53/3110400],
[[[1, 6], [2, 5], [3, 2], [5, 1], [14, 1]], 1/34560],
[[[1, 6], [2, 5], [3, 2], [5, 1], [18, 1]], 7/311040],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 96629/746496000],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 61/5184000],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 5681/11612160],
[[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 7609/44789760],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 1075/5225472],
[[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 419/3732480],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 3401/37324800],
[[[1, 6], [2, 5], [3, 2], [6, 3], [12, 1]], 19/331776],
[[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 5/193536],
[[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 1/15120],
[[[1, 6], [2, 5], [3, 2], [7, 1], [12, 1]], 1/1935360],
[[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 1/19440],
[[[1, 6], [2, 5], [3, 2], [9, 1], [12, 1]], 1/829440],
[[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 9533/20155392],
[[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 191/4644864],
[[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 361/5971968],
[[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 5/165888],
[[[1, 6], [2, 5], [3, 3], [4, 1], [18, 1]], 13/559872],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 239/3317760],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 4799/8957952],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 1/7776],
[[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 389/9953280],
[[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 5/663552],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 59/331776],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1091/2799360],
[[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 1/138240],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 181/3732480],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 115571/940584960],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 15353/134369280],
[[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 11041/104509440],
[[[1, 6], [2, 5], [3, 3], [6, 1], [18, 1]], 2401/44789760],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 7/38880],
[[[1, 6], [2, 5], [3, 3], [6, 2], [12, 1]], 7/62208],
[[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 53/7464960],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 379/839808],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 137/11943936],
[[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 23/1866240],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 2407/11943936],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 3169/83980800],
[[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 1/62208],
[[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 329/7464960],
[[[1, 6], [2, 5], [3, 4], [6, 1], [12, 1]], 7/995328],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 221/6718464],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 1/622080],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1/7680],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 779/5529600],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/38400],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 2663/18432000],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 3233/9216000],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/73728],
[[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 7/3686400],
[[[1, 6], [2, 5], [4, 1], [6, 3], [7, 1]], 5/5225472],
[[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 5/4644864],
[[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 5/1990656],
[[[1, 6], [2, 5], [4, 1], [7, 1], [9, 1]], 1/48384],
[[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 13/112896],
[[[1, 6], [2, 5], [4, 1], [7, 1], [18, 1]], 5/72576],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 103/18432000],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 6], [2, 5], [4, 1], [9, 1], [14, 1]], 1/48384],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 41/3317760],
[[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 29/161280],
[[[1, 6], [2, 5], [4, 2], [5, 1], [9, 1]], 1/27648],
[[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 59/322560],
[[[1, 6], [2, 5], [4, 2], [5, 1], [18, 1]], 11/138240],
[[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1/6144],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 61/5529600],
[[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 41/1161216],
[[[1, 6], [2, 5], [4, 2], [6, 2], [9, 1]], 5/497664],
[[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 11/663552],
[[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 31/995328],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 19/1327104],
[[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 1/663552],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 11/21504],
[[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 41/322560],
[[[1, 6], [2, 5], [4, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 67/258048],
[[[1, 6], [2, 5], [4, 2], [8, 1], [18, 1]], 5/55296],
[[[1, 6], [2, 5], [4, 2], [9, 1], [10, 1]], 1/27648],
[[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 1/86016],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 7/276480],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 3491/7372800],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 4387/22118400],
[[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 13/129024],
[[[1, 6], [2, 5], [4, 3], [6, 1], [9, 1]], 1/27648],
[[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 23/516096],
[[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 1/24576],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 17/147456],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 17/1105920],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 1/4608],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1/30720],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 139/884736],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 1/32768],
[[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 1/98304],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 119/3456000],
[[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 1/30240],
[[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 1/72576],
[[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 1/77760],
[[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 979/149299200],
[[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 1/17920],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 731/4838400],
[[[1, 6], [2, 5], [5, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 157/3225600],
[[[1, 6], [2, 5], [5, 1], [10, 1], [18, 1]], 13/2073600],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 97/1152000],
[[[1, 6], [2, 5], [5, 2], [6, 1], [12, 1]], 13/921600],
[[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 1/1128960],
[[[1, 6], [2, 5], [6, 1], [7, 1], [18, 1]], 1/483840],
[[[1, 6], [2, 5], [6, 1], [9, 1], [14, 1]], 1/1451520],
[[[1, 6], [2, 5], [6, 1], [9, 1], [18, 1]], 1/622080],
[[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 23/8709120],
[[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 1/1814400],
[[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 1/777600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 1/259200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 339973/3224862720],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 1/73728],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 16843/622080000],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 4487/11943936],
[[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 1/35840],
[[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 61/3317760],
[[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 5/64512],
[[[1, 6], [2, 7], [3, 1], [4, 2], [18, 1]], 1/55296],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 5/98304],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 27671/79626240],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 125/589824],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 7/69120],
[[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 5/294912],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 15287/106168320],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 4043/49766400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 22843/18289152000],
[[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 7403/7838208000],
[[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 19/4838400],
[[[1, 6], [2, 7], [3, 1], [5, 1], [18, 1]], 1/2073600],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 2429/497664000],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 38897/622080000],
[[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 97/1451520],
[[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 109/3732480],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 6241/65318400],
[[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 4399/111974400],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 23/663552],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 48277/671846400],
[[[1, 6], [2, 7], [3, 1], [6, 3], [12, 1]], 13/1492992],
[[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 1/2580480],
[[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 1/100800],
[[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 1/1105920],
[[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 1/259200],
[[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 2713/108864000],
[[[1, 6], [2, 7], [3, 1], [12, 1], [14, 1]], 1/241920],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 65329/119439360],
[[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 11/2580480],
[[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 23/3732480],
[[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 13/552960],
[[[1, 6], [2, 7], [3, 2], [4, 1], [18, 1]], 11/4976640],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 77/6635520],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 6995/11943936],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 4937/79626240],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 19/345600],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 925/3981312],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 4997/37324800],
[[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 1219/99532800],
[[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 73/5806080],
[[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 829/89579520],
[[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 14431/209018880],
[[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 253/22394880],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 41/442368],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 206161/746496000],
[[[1, 6], [2, 7], [3, 2], [6, 2], [12, 1]], 23/829440],
[[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 23/29859840],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 299293/1074954240],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 7/3981312],
[[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 49/6635520],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 35303/358318080],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1843/447897600],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1/221184],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 701/14929920],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 4379/537477120],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 1177/33177600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 113/19353600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 13/153600],
[[[1, 6], [2, 7], [4, 1], [5, 1], [18, 1]], 11/1382400],
[[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 7/1024000],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 1/24576],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 293/5529600],
[[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 319/6967296],
[[[1, 6], [2, 7], [4, 1], [6, 2], [9, 1]], 1/36864],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 1367/23224320],
[[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 17/414720],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 911/29859840],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 11/409600],
[[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 11/6635520],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 97/3096576],
[[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 151/1935360],
[[[1, 6], [2, 7], [4, 1], [8, 1], [9, 1]], 7/829440],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 23/276480],
[[[1, 6], [2, 7], [4, 1], [8, 1], [18, 1]], 1/92160],
[[[1, 6], [2, 7], [4, 1], [9, 1], [10, 1]], 5/165888],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 461/6451200],
[[[1, 6], [2, 7], [4, 1], [10, 1], [18, 1]], 11/1382400],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 7/69120],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 3377/22118400],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 49691/221184000],
[[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 533/5806080],
[[[1, 6], [2, 7], [4, 2], [6, 1], [9, 1]], 13/248832],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 14587/92897280],
[[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 2687/39813120],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 5653/26542080],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 937/6635520],
[[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 1/73728],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 163/491520],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 79/1105920],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 1027/2949120],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 839/4423680],
[[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 1/151200],
[[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 23/580608],
[[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 11/1244160],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 653/12441600],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 43/3686400],
[[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 3/179200],
[[[1, 6], [2, 7], [6, 1], [7, 1], [12, 1]], 1/1290240],
[[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 23/1290240],
[[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 1/184320],
[[[1, 6], [2, 7], [6, 1], [9, 1], [10, 1]], 13/1036800],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 4183/290304000],
[[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 803/124416000],
[[[1, 6], [2, 7], [6, 1], [12, 1], [14, 1]], 1/1290240],
[[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 7/552960],
[[[1, 6], [2, 7], [6, 2], [10, 1], [12, 1]], 1/2764800],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 2325989/11287019520],
[[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 253/1300561920],
[[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 1513/5016453120],
[[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 17327/1045094400],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 1919/477757440],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 150757/557383680],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 13309/836075520],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 61/1658880],
[[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 11/2654208],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 251809/2229534720],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 3169/116121600],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 760013/313528320000],
[[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 8233/1950842880],
[[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 17/5971968],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 49909/1463132160],
[[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 4699/783820800],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 191/6635520],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 6576469/62705664000],
[[[1, 6], [2, 9], [3, 1], [6, 2], [12, 1]], 253/39813120],
[[[1, 6], [2, 9], [3, 1], [10, 1], [12, 1]], 101/55296000],
[[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 193/4180377600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 70193/418037760],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 22633/20065812480],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 41/5529600],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 163879/3344302080],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 25379/12541132800],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 70813/2985984000],
[[[1, 6], [2, 9], [3, 2], [6, 1], [12, 1]], 1/491520],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 14687/2508226560],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 127/3317760],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 15983/3981312000],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 1350509/41803776000],
[[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 71/4354560],
[[[1, 6], [2, 9], [4, 1], [6, 1], [9, 1]], 19/1658880],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 3139/46448640],
[[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 383/19906560],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 4637/79626240],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 3803/33177600],
[[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 7/829440],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 1843/36864000],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 421/12902400],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 11663/92897280],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 24611/132710400],
[[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 37/4423680],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 4343/174182400],
[[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 203/11059200],
[[[1, 6], [2, 9], [6, 1], [10, 1], [12, 1]], 17/11059200],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 293/1114767360],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 52292701/1128701952000],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 180407/501645312000],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 336757/78382080000],
[[[1, 6], [2, 11], [3, 1], [4, 1], [12, 1]], 1/3096576],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 25417/955514880],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 9481/9289728000],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 181/92897280],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 24124957/1881169920000],
[[[1, 6], [2, 11], [3, 1], [6, 1], [12, 1]], 263/696729600],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 15707/3583180800],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 29651/6967296000],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 33869/2786918400],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 35321/928972800],
[[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 59/66355200],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 9217337/5159780352000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 281/1440000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 13/56448],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 2]], 1/31104],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/92160],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 1/36864],
[[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 1/1032192],
[[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 1/442368],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 3]], 23/46656000],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1409/3225600],
[[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 931/4147200],
[[[1, 7], [2, 2], [3, 1], [5, 2], [14, 1]], 23/504000],
[[[1, 7], [2, 2], [3, 1], [5, 2], [18, 1]], 23/648000],
[[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 47/1080000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 1/4536],
[[[1, 7], [2, 2], [3, 1], [6, 4], [7, 1]], 1/7838208],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 151/1382400],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 1/18432],
[[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/129024],
[[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 1/82944],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/1105920],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 1/884736],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 1/884736],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 4]], 7/27993600],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 83/3110400],
[[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 43/691200],
[[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 119/1296000],
[[[1, 7], [2, 2], [3, 2], [5, 2], [12, 1]], 11/172800],
[[[1, 7], [2, 2], [3, 2], [6, 3], [7, 1]], 211/19595520],
[[[1, 7], [2, 2], [3, 2], [6, 3], [9, 1]], 1/8398080],
[[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 113/580608],
[[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 17/423360],
[[[1, 7], [2, 2], [3, 2], [7, 1], [18, 1]], 17/544320],
[[[1, 7], [2, 2], [3, 2], [9, 1], [14, 1]], 1/90720],
[[[1, 7], [2, 2], [3, 2], [9, 1], [18, 1]], 1/116640],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 2773/12441600],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 1/82944],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 61/1161216],
[[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 17/248832],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/276480],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 11/995328],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 3]], 229/12597120],
[[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 193/725760],
[[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 59/233280],
[[[1, 7], [2, 2], [3, 3], [5, 1], [14, 1]], 5/108864],
[[[1, 7], [2, 2], [3, 3], [5, 1], [18, 1]], 5/139968],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 15557/46656000],
[[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 527/3919104],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 41/559872],
[[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 37/870912],
[[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/77760],
[[[1, 7], [2, 2], [3, 3], [7, 1], [12, 1]], 1/16128],
[[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 7/124416],
[[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 1/77760],
[[[1, 7], [2, 2], [3, 3], [9, 1], [12, 1]], 1/31104],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 3]], 821/120932352],
[[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 509/5225472],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 277/2239488],
[[[1, 7], [2, 2], [3, 4], [4, 1], [14, 1]], 11/1306368],
[[[1, 7], [2, 2], [3, 4], [4, 1], [18, 1]], 11/1679616],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 247/7464960],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/124416],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 91/2985984],
[[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 1/82944],
[[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/746496],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 1067/6998400],
[[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 1/77760],
[[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 23/1036800],
[[[1, 7], [2, 2], [3, 4], [5, 1], [12, 1]], 11/311040],
[[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 1403/6531840],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1799/8398080],
[[[1, 7], [2, 2], [3, 4], [6, 1], [14, 1]], 1/81648],
[[[1, 7], [2, 2], [3, 4], [6, 1], [18, 1]], 1/104976],
[[[1, 7], [2, 2], [3, 4], [6, 2], [10, 1]], 1/174960],
[[[1, 7], [2, 2], [3, 4], [6, 2], [12, 1]], 13/559872],
[[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/23328],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 23/2239488],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 131/8957952],
[[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 7/373248],
[[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 7/2239488],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 161/1399680],
[[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 1/93312],
[[[1, 7], [2, 2], [3, 5], [6, 1], [10, 1]], 1/349920],
[[[1, 7], [2, 2], [3, 5], [6, 1], [12, 1]], 13/279936],
[[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 751/40310784],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 3]], 13/186624000],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1/5040],
[[[1, 7], [2, 2], [4, 1], [5, 2], [9, 1]], 1/19200],
[[[1, 7], [2, 2], [4, 1], [5, 2], [14, 1]], 13/2016000],
[[[1, 7], [2, 2], [4, 1], [5, 2], [18, 1]], 13/2592000],
[[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 11/1440000],
[[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/24192],
[[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 1/21504],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 1/9600],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 403/4608000],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 133/4608000],
[[[1, 7], [2, 2], [4, 2], [7, 1], [9, 1]], 1/48384],
[[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1/107520],
[[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 13/516096],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 1/245760],
[[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/491520],
[[[1, 7], [2, 2], [5, 1], [6, 3], [7, 1]], 13/32659200],
[[[1, 7], [2, 2], [5, 1], [7, 1], [9, 1]], 1/10080],
[[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 13/352800],
[[[1, 7], [2, 2], [5, 1], [7, 1], [18, 1]], 13/453600],
[[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/604800],
[[[1, 7], [2, 2], [5, 2], [8, 1], [10, 1]], 1/192000],
[[[1, 7], [2, 2], [6, 1], [10, 2], [14, 1]], 1/3048192000],
[[[1, 7], [2, 2], [6, 1], [10, 2], [18, 1]], 1/1306368000],
[[[1, 7], [2, 2], [6, 2], [14, 1], [18, 1]], 1/548674560],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 10333/27648000],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 7/59719680],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 137/552960],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/691200],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 29/11943936],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 181/1290240],
[[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 469/4976640],
[[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 1/64512],
[[[1, 7], [2, 4], [3, 1], [4, 3], [18, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 31/737280],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 11/589824],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 7/73728],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 1/98304],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 5/1179648],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 13/18662400],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 13/806400],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 7681/248832000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1/12800],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 2929/17280000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [12, 1]], 13/921600],
[[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 23/124416000],
[[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 689/31352832],
[[[1, 7], [2, 4], [3, 1], [6, 3], [9, 1]], 1/13436928],
[[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 1/7464960],
[[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 7/22394880],
[[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 7/124416],
[[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 17/338688],
[[[1, 7], [2, 4], [3, 1], [7, 1], [18, 1]], 17/435456],
[[[1, 7], [2, 4], [3, 1], [9, 1], [14, 1]], 1/145152],
[[[1, 7], [2, 4], [3, 1], [9, 1], [18, 1]], 1/186624],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 10637/33177600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 79/67184640],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1/13824],
[[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 1/2073600],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 1717/35831808],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 7967/23224320],
[[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 149/552960],
[[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 1/14336],
[[[1, 7], [2, 4], [3, 2], [4, 2], [18, 1]], 25/497664],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 1499/8294400],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 391/3981312],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 161/663552],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/276480],
[[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 1/36864],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 931/13996800],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 491/2903040],
[[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 139/1244160],
[[[1, 7], [2, 4], [3, 2], [5, 1], [14, 1]], 1/15120],
[[[1, 7], [2, 4], [3, 2], [5, 1], [18, 1]], 1/19440],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 5033/12441600],
[[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 17/10368000],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 44777/104509440],
[[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 4697/44789760],
[[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 37/1451520],
[[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 47/1866240],
[[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 47/4665600],
[[[1, 7], [2, 4], [3, 2], [6, 3], [12, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 1/13824],
[[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 19/226800],
[[[1, 7], [2, 4], [3, 2], [7, 1], [12, 1]], 1/43008],
[[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 1/24300],
[[[1, 7], [2, 4], [3, 2], [9, 1], [12, 1]], 1/165888],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 125/746496],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 8111/41803776],
[[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 3239/17915904],
[[[1, 7], [2, 4], [3, 3], [4, 1], [14, 1]], 1/16128],
[[[1, 7], [2, 4], [3, 3], [4, 1], [18, 1]], 1/20736],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 1969/7464960],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 1249/4976640],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 821/3981312],
[[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 1/69120],
[[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 13/221184],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 49/497664],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 188101/335923200],
[[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 7/207360],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 4213/49766400],
[[[1, 7], [2, 4], [3, 3], [5, 1], [12, 1]], 7/414720],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 5423/15676416],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 509/2239488],
[[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 1/12096],
[[[1, 7], [2, 4], [3, 3], [6, 1], [18, 1]], 11/186624],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 7/82944],
[[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1/17280],
[[[1, 7], [2, 4], [3, 3], [6, 2], [12, 1]], 95/995328],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 13/155520],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 42823/100776960],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 577/11943936],
[[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 137/5598720],
[[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 13/746496],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 8039/35831808],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 115/559872],
[[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 1/20736],
[[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 11/186624],
[[[1, 7], [2, 4], [3, 4], [6, 1], [12, 1]], 103/2239488],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 35/248832],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 3/25600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 107/9216000],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 209/15552000],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 961/3686400],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 26833/138240000],
[[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 1/165888000],
[[[1, 7], [2, 4], [4, 1], [6, 3], [7, 1]], 1/1741824],
[[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 1/69672960],
[[[1, 7], [2, 4], [4, 1], [6, 3], [18, 1]], 1/29859840],
[[[1, 7], [2, 4], [4, 1], [7, 1], [9, 1]], 5/72576],
[[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 1/18816],
[[[1, 7], [2, 4], [4, 1], [7, 1], [18, 1]], 1/24192],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/2304000],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 7/16588800],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 5743/19353600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [9, 1]], 11/138240],
[[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 31/537600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [18, 1]], 7/230400],
[[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 53/921600],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1/193536],
[[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 1/3732480],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 11/28672],
[[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 1/53760],
[[[1, 7], [2, 4], [4, 2], [8, 1], [9, 1]], 5/55296],
[[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 47/1290240],
[[[1, 7], [2, 4], [4, 2], [8, 1], [18, 1]], 1/51840],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 61/184320],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 427/7372800],
[[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 5/129024],
[[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 1/442368],
[[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 7/1327104],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 5/1769472],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 1/98304],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1/61440],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 13/294912],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 1/1474560],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 1/576000],
[[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 37/1360800],
[[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 1/37324800],
[[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 5401/48384000],
[[[1, 7], [2, 4], [5, 1], [9, 1], [10, 1]], 13/2073600],
[[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 1/276480],
[[[1, 7], [2, 4], [5, 1], [10, 1], [18, 1]], 1/1036800],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 29/864000],
[[[1, 7], [2, 4], [5, 2], [6, 1], [12, 1]], 1/55296],
[[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 19/109734912],
[[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/28576800],
[[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 1/12247200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 293/5529600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 4379/537477120],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 1/24576],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 7/1024000],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 35303/358318080],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 14587/92897280],
[[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 2687/39813120],
[[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 533/5806080],
[[[1, 7], [2, 6], [3, 1], [4, 2], [18, 1]], 13/248832],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 839/4423680],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 925/3981312],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 1027/2949120],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 79/1105920],
[[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 1/36864],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 15287/106168320],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 701/14929920],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 4183/290304000],
[[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 803/124416000],
[[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 3/179200],
[[[1, 7], [2, 6], [3, 1], [5, 1], [18, 1]], 13/1036800],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 38897/622080000],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 2429/497664000],
[[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 14431/209018880],
[[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 253/22394880],
[[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 73/5806080],
[[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 829/89579520],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1/221184],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1843/447897600],
[[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 23/1290240],
[[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 23/580608],
[[[1, 7], [2, 6], [3, 1], [7, 1], [12, 1]], 1/1290240],
[[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 1/184320],
[[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 11/1244160],
[[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 1/151200],
[[[1, 7], [2, 6], [3, 1], [12, 1], [14, 1]], 1/1290240],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 299293/1074954240],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 1367/23224320],
[[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 17/414720],
[[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 319/6967296],
[[[1, 7], [2, 6], [3, 2], [4, 1], [18, 1]], 1/36864],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 937/6635520],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 6995/11943936],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 5653/26542080],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 7/69120],
[[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 1/73728],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 27671/79626240],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 206161/746496000],
[[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 7/552960],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 653/12441600],
[[[1, 7], [2, 6], [3, 2], [5, 1], [12, 1]], 1/2764800],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 6241/65318400],
[[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 4399/111974400],
[[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 97/1451520],
[[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 109/3732480],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 41/442368],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 4997/37324800],
[[[1, 7], [2, 6], [3, 2], [6, 2], [12, 1]], 23/829440],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 11/409600],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 65329/119439360],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 911/29859840],
[[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 1177/33177600],
[[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 11/6635520],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 4487/11943936],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 48277/671846400],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 23/663552],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 4043/49766400],
[[[1, 7], [2, 6], [3, 3], [6, 1], [12, 1]], 13/1492992],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 339973/3224862720],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 49/6635520],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 461/6451200],
[[[1, 7], [2, 6], [4, 1], [5, 1], [9, 1]], 11/1382400],
[[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 151/1935360],
[[[1, 7], [2, 6], [4, 1], [5, 1], [18, 1]], 5/165888],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 16843/622080000],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 1/73728],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 1/259200],
[[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 13/552960],
[[[1, 7], [2, 6], [4, 1], [6, 2], [9, 1]], 11/4976640],
[[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 11/2580480],
[[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 23/3732480],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 7/3981312],
[[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 23/29859840],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 23/276480],
[[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 13/153600],
[[[1, 7], [2, 6], [4, 1], [8, 1], [9, 1]], 1/92160],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 97/3096576],
[[[1, 7], [2, 6], [4, 1], [8, 1], [18, 1]], 7/829440],
[[[1, 7], [2, 6], [4, 1], [9, 1], [10, 1]], 11/1382400],
[[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 113/19353600],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 19/345600],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 163/491520],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 49691/221184000],
[[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 5/64512],
[[[1, 7], [2, 6], [4, 2], [6, 1], [9, 1]], 1/55296],
[[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 1/35840],
[[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 61/3317760],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 4937/79626240],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 77/6635520],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 3377/22118400],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 7/69120],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 125/589824],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 5/98304],
[[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 5/294912],
[[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 2713/108864000],
[[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 1/100800],
[[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 1/259200],
[[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 1219/99532800],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 43/3686400],
[[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 19/4838400],
[[[1, 7], [2, 6], [6, 1], [7, 1], [12, 1]], 1/241920],
[[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 1/2580480],
[[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 1/1105920],
[[[1, 7], [2, 6], [6, 1], [9, 1], [10, 1]], 1/2073600],
[[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 22843/18289152000],
[[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 7403/7838208000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 347327/2687385600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 649/130636800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 21617/9405849600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 2629/116121600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [18, 1]], 13/4976640],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 6007/265420800],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 2759/9331200],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 24317/398131200],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 3251/49766400],
[[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 37/4423680],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 69487/318504960],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 3739/82944000],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/3686400],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 192569/21946982400],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 53587/4389396480],
[[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 47/8957952],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 19379/696729600],
[[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 1381/223948800],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 23/1105920],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 144211/2985984000],
[[[1, 7], [2, 8], [3, 1], [6, 2], [12, 1]], 187/39813120],
[[[1, 7], [2, 8], [3, 1], [10, 1], [12, 1]], 17/11059200],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 20201/7838208000],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 98617/348364800],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 62969/10032906240],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 109/5529600],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 7423/47775744],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 78601/8957952000],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 11/2211840],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 121723/2985984000],
[[[1, 7], [2, 8], [3, 2], [6, 1], [12, 1]], 1/294912],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 17/491520],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 221/5529600],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 229037/13934592000],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 42521/663552000],
[[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 77/3317760],
[[[1, 7], [2, 8], [4, 1], [6, 1], [9, 1]], 7/622080],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 15121/464486400],
[[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 5663/597196800],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 1669/53084160],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 4121/124416000],
[[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 13/6635520],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 9143/221184000],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 73/1024000],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 25291/199065600],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 13651/132710400],
[[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 13/1474560],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 16049/696729600],
[[[1, 7], [2, 8], [5, 1], [6, 1], [12, 1]], 1/3686400],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 3/409600],
[[[1, 7], [2, 8], [6, 1], [10, 1], [12, 1]], 1/3686400],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 23309/27869184000],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 138403/1791590400],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 705557/501645312000],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 98411/10450944000],
[[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 59/66355200],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 1490927/22295347200],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 289577/83607552000],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 71/17694720],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 770713/41803776000],
[[[1, 7], [2, 10], [3, 1], [6, 1], [12, 1]], 1/1555200],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 21563599/1504935936000],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 89/7257600],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 33899/1857945600],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 107453/2786918400],
[[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 61/53084160],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 5133739/859963392000],
[[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 1/290304],
[[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/9450],
[[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 13/691200],
[[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/483840],
[[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 1/207360],
[[[1, 7], [3, 2], [5, 1], [6, 2], [7, 1]], 11/1814400],
[[[1, 7], [3, 2], [5, 1], [6, 2], [9, 1]], 1/777600],
[[[1, 7], [3, 2], [5, 1], [7, 1], [12, 1]], 11/302400],
[[[1, 7], [3, 2], [5, 1], [9, 1], [12, 1]], 1/129600],
[[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/124416],
[[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 1/124416],
[[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 1/155520],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 329/8640000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 19/564480],
[[[1, 8], [2, 1], [3, 1], [4, 1], [9, 2]], 1/466560],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 7/2764800],
[[[1, 8], [2, 1], [3, 1], [5, 2], [6, 3]], 43/979776000],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 1207/6912000],
[[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 523/6912000],
[[[1, 8], [2, 1], [3, 1], [5, 2], [14, 1]], 43/10584000],
[[[1, 8], [2, 1], [3, 1], [5, 2], [18, 1]], 43/13608000],
[[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/240000],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/36288],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 23/5529600],
[[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 1/221184],
[[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/774144],
[[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 1/497664],
[[[1, 8], [2, 1], [3, 2], [5, 2], [6, 2]], 23/5184000],
[[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 13/691200],
[[[1, 8], [2, 1], [3, 2], [5, 2], [10, 1]], 17/3024000],
[[[1, 8], [2, 1], [3, 2], [5, 2], [12, 1]], 23/864000],
[[[1, 8], [2, 1], [3, 2], [6, 3], [7, 1]], 491/411505920],
[[[1, 8], [2, 1], [3, 2], [6, 3], [9, 1]], 1/176359680],
[[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 31/580608],
[[[1, 8], [2, 1], [3, 2], [7, 1], [14, 1]], 37/8890560],
[[[1, 8], [2, 1], [3, 2], [7, 1], [18, 1]], 37/11430720],
[[[1, 8], [2, 1], [3, 2], [9, 1], [14, 1]], 1/1905120],
[[[1, 8], [2, 1], [3, 2], [9, 1], [18, 1]], 1/2449440],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 10249/186624000],
[[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 17/6967296],
[[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 1/331776],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/995328],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/1990656],
[[[1, 8], [2, 1], [3, 3], [5, 1], [6, 3]], 73/31492800],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 619/4665600],
[[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 73/699840],
[[[1, 8], [2, 1], [3, 3], [5, 1], [14, 1]], 17/2721600],
[[[1, 8], [2, 1], [3, 3], [5, 1], [18, 1]], 17/3499200],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 8317/108864000],
[[[1, 8], [2, 1], [3, 3], [6, 2], [7, 1]], 17/4354560],
[[[1, 8], [2, 1], [3, 3], [6, 2], [9, 1]], 1/933120],
[[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 1/124416],
[[[1, 8], [2, 1], [3, 3], [7, 1], [12, 1]], 17/725760],
[[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 1/124416],
[[[1, 8], [2, 1], [3, 3], [9, 1], [12, 1]], 1/155520],
[[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 73/3732480],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 713/33592320],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/933120],
[[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 11/2985984],
[[[1, 8], [2, 1], [3, 4], [5, 1], [6, 2]], 5/1119744],
[[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1/155520],
[[[1, 8], [2, 1], [3, 4], [5, 1], [10, 1]], 239/195955200],
[[[1, 8], [2, 1], [3, 4], [5, 1], [12, 1]], 5/186624],
[[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 4847/137168640],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1697/58786560],
[[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 383/27993600],
[[[1, 8], [2, 1], [3, 5], [4, 1], [6, 2]], 11/13436928],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 5/995328],
[[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 11/2239488],
[[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/2239488],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 113/3499200],
[[[1, 8], [2, 1], [3, 5], [6, 1], [10, 1]], 1/2099520],
[[[1, 8], [2, 1], [3, 5], [6, 1], [12, 1]], 13/1679616],
[[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/2519424],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 37/1344000],
[[[1, 8], [2, 1], [4, 1], [5, 2], [9, 1]], 13/2592000],
[[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/1440000],
[[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/169344],
[[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/307200],
[[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 13/4608000],
[[[1, 8], [2, 1], [4, 2], [5, 2], [10, 1]], 1/4608000],
[[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/645120],
[[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/516096],
[[[1, 8], [2, 1], [5, 1], [6, 3], [7, 1]], 1/32659200],
[[[1, 8], [2, 1], [5, 1], [7, 1], [9, 1]], 13/453600],
[[[1, 8], [2, 1], [5, 1], [7, 1], [14, 1]], 1/352800],
[[[1, 8], [2, 1], [5, 1], [7, 1], [18, 1]], 1/453600],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 6089/29030400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 53/860160],
[[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 1/13824000],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 23/573440],
[[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 47/2211840],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 13/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 13/884736],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1/1179648],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 4]], 1/6998400],
[[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 11/12096000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 33007/2612736000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 13/192000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 11113/181440000],
[[[1, 8], [2, 3], [3, 1], [5, 2], [12, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 1], [6, 2], [10, 2]], 1/2612736000],
[[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 131/52254720],
[[[1, 8], [2, 3], [3, 1], [6, 3], [9, 1]], 1/67184640],
[[[1, 8], [2, 3], [3, 1], [6, 3], [14, 1]], 1/1097349120],
[[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 1/470292480],
[[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 13/248832],
[[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 11/564480],
[[[1, 8], [2, 3], [3, 1], [7, 1], [18, 1]], 11/725760],
[[[1, 8], [2, 3], [3, 1], [9, 1], [14, 1]], 1/725760],
[[[1, 8], [2, 3], [3, 1], [9, 1], [18, 1]], 1/933120],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 62303/165888000],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 4]], 43/470292480],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 1/27648],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 49/44789760],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 1025/6096384],
[[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 1195/10450944],
[[[1, 8], [2, 3], [3, 2], [4, 2], [14, 1]], 19/1935360],
[[[1, 8], [2, 3], [3, 2], [4, 2], [18, 1]], 19/2488320],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 53/921600],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 7/1327104],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 67/983040],
[[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 1/110592],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 5/2654208],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 157/13996800],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 109/403200],
[[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 221/1555200],
[[[1, 8], [2, 3], [3, 2], [5, 1], [14, 1]], 1/24192],
[[[1, 8], [2, 3], [3, 2], [5, 1], [18, 1]], 1/31104],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 1829/5184000],
[[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 1/10368000],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 143999/1097349120],
[[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 10159/470292480],
[[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 17/8709120],
[[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 7/3732480],
[[[1, 8], [2, 3], [3, 2], [6, 3], [10, 1]], 1/1244160],
[[[1, 8], [2, 3], [3, 2], [6, 3], [12, 1]], 1/995328],
[[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 31/483840],
[[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 277/9525600],
[[[1, 8], [2, 3], [3, 2], [7, 1], [12, 1]], 17/580608],
[[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 1/34560],
[[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 1/127575],
[[[1, 8], [2, 3], [3, 2], [9, 1], [12, 1]], 1/248832],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1741/100776960],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 41813/209018880],
[[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 4511/29859840],
[[[1, 8], [2, 3], [3, 3], [4, 1], [14, 1]], 53/2177280],
[[[1, 8], [2, 3], [3, 3], [4, 1], [18, 1]], 53/2799360],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 27167/149299200],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 5/147456],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 1651/14929920],
[[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 25/663552],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 23/1327104],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 10517/41990400],
[[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 29/622080],
[[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 721/15552000],
[[[1, 8], [2, 3], [3, 3], [5, 1], [12, 1]], 1/25920],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 511/1866240],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 271/1866240],
[[[1, 8], [2, 3], [3, 3], [6, 1], [14, 1]], 1/51840],
[[[1, 8], [2, 3], [3, 3], [6, 1], [18, 1]], 7/466560],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 1/82944],
[[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 7/777600],
[[[1, 8], [2, 3], [3, 3], [6, 2], [12, 1]], 29/1244160],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 47/311040],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 24697/235146240],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 1577/29859840],
[[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 11/1866240],
[[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 1/27648],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 2863/44789760],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 409/1555200],
[[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 7/186624],
[[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 77/5598720],
[[[1, 8], [2, 3], [3, 4], [6, 1], [12, 1]], 227/4478976],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 3431/33592320],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 1/25600],
[[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 1/9216000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 13/10368000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 703/4608000],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1433/46080000],
[[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 1/10450944000],
[[[1, 8], [2, 3], [4, 1], [6, 3], [7, 1]], 1/8709120],
[[[1, 8], [2, 3], [4, 1], [6, 3], [14, 1]], 1/4389396480],
[[[1, 8], [2, 3], [4, 1], [6, 3], [18, 1]], 1/1881169920],
[[[1, 8], [2, 3], [4, 1], [7, 1], [9, 1]], 1/24192],
[[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 1/94080],
[[[1, 8], [2, 3], [4, 1], [7, 1], [18, 1]], 1/120960],
[[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 1/36288000],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 3]], 1/29859840],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 151/1209600],
[[[1, 8], [2, 3], [4, 2], [5, 1], [9, 1]], 7/230400],
[[[1, 8], [2, 3], [4, 2], [5, 1], [14, 1]], 1/322560],
[[[1, 8], [2, 3], [4, 2], [5, 1], [18, 1]], 1/414720],
[[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 37/1728000],
[[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 1/59719680],
[[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 23/215040],
[[[1, 8], [2, 3], [4, 2], [8, 1], [9, 1]], 1/51840],
[[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 1/645120],
[[[1, 8], [2, 3], [4, 2], [8, 1], [18, 1]], 1/829440],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 497/7372800],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 41/7372800],
[[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 1/129024],
[[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 1/8709120],
[[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 1/136080],
[[[1, 8], [2, 3], [5, 1], [6, 3], [10, 1]], 11/9405849600],
[[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 29/403200],
[[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 277/9676800],
[[[1, 8], [2, 3], [5, 1], [9, 1], [10, 1]], 1/1036800],
[[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 149/609638400],
[[[1, 8], [2, 3], [5, 1], [10, 1], [18, 1]], 1/14515200],
[[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 29/4320000],
[[[1, 8], [2, 3], [5, 2], [6, 1], [12, 1]], 53/6912000],
[[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 1/365783040],
[[[1, 8], [2, 3], [6, 2], [10, 1], [14, 1]], 1/1828915200],
[[[1, 8], [2, 3], [6, 2], [10, 1], [18, 1]], 1/783820800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 17803/82944000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 11/35831808],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 1/23040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/1382400],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 1499/358318080],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 1903/7741440],
[[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 83/829440],
[[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 517/11612160],
[[[1, 8], [2, 5], [3, 1], [4, 2], [18, 1]], 13/414720],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 4813/22118400],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 4123/79626240],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 46159/185794560],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 19/1382400],
[[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 5/294912],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 2197/35389440],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1441/89579520],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 2417/29030400],
[[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 167/6220800],
[[[1, 8], [2, 5], [3, 1], [5, 1], [14, 1]], 5/193536],
[[[1, 8], [2, 5], [3, 1], [5, 1], [18, 1]], 5/248832],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 3764279/26127360000],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 3959/10450944000],
[[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 347/8709120],
[[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 1/699840],
[[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 2827/4389396480],
[[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 1943/1881169920],
[[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 37/391910400],
[[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 61/1548288],
[[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 1/25200],
[[[1, 8], [2, 5], [3, 1], [7, 1], [12, 1]], 1/241920],
[[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 5/663552],
[[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 1/194400],
[[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 1/2419200],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 502591/7524679680],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 19/107520],
[[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 683/7464960],
[[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 19/387072],
[[[1, 8], [2, 5], [3, 2], [4, 1], [18, 1]], 55/1492992],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 1937/5529600],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 10249/39813120],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 7043/26542080],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 419/8294400],
[[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 13/331776],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 2939/13934592],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 4099/14929920],
[[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 23/552960],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 3551/49766400],
[[[1, 8], [2, 5], [3, 2], [5, 1], [12, 1]], 13/1382400],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 4054661/21946982400],
[[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 287603/4702924800],
[[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 23/645120],
[[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 173/7464960],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 7/147456],
[[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 397/12441600],
[[[1, 8], [2, 5], [3, 2], [6, 2], [12, 1]], 43/2488320],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 8929/59719680],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 477013/1074954240],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 5/62208],
[[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 229/4665600],
[[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 1/49152],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 4057/9953280],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 1546711/6718464000],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 7/110592],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 607/9331200],
[[[1, 8], [2, 5], [3, 3], [6, 1], [12, 1]], 41/1492992],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 269039/1074954240],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 17/49766400],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 83/460800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [9, 1]], 5/165888],
[[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 61/1612800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [18, 1]], 17/691200],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 2621/82944000],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 41/746496000],
[[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 1/90720],
[[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 19/292626432],
[[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 19/188116992],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 221/3762339840],
[[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 97/9405849600],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 703/7741440],
[[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 1/25200],
[[[1, 8], [2, 5], [4, 1], [8, 1], [9, 1]], 7/829440],
[[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 19/3048192],
[[[1, 8], [2, 5], [4, 1], [8, 1], [18, 1]], 1/276480],
[[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 19/243855360],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 269/24883200],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 2179/7372800],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 109591/1548288000],
[[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 13/258048],
[[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 19/20643840],
[[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 19/8847360],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 253/39813120],
[[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 1/66355200],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 253/11059200],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 101/1843200],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 163/2949120],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 11/2457600],
[[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 1/276480],
[[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 181/6804000],
[[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 1/4838400],
[[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 1/2073600],
[[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 631/1254113280],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 1/245760],
[[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 1/322560],
[[[1, 8], [2, 5], [6, 1], [7, 1], [12, 1]], 1/258048],
[[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 577/7315660800],
[[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 191/3135283200],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 17/491520],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 15121/464486400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 5663/597196800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 77/3317760],
[[[1, 8], [2, 7], [3, 1], [4, 1], [18, 1]], 7/622080],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 13651/132710400],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 7423/47775744],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 25291/199065600],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 73/1024000],
[[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 13/1474560],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 69487/318504960],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 121723/2985984000],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 3/409600],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 16049/696729600],
[[[1, 8], [2, 7], [3, 1], [5, 1], [12, 1]], 1/3686400],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 19379/696729600],
[[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 1381/223948800],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 53587/4389396480],
[[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 47/8957952],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 11/2211840],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 78601/8957952000],
[[[1, 8], [2, 7], [3, 1], [6, 2], [12, 1]], 1/294912],
[[[1, 8], [2, 7], [3, 1], [10, 1], [12, 1]], 1/3686400],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 4121/124416000],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 98617/348364800],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 1669/53084160],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 221/5529600],
[[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 13/6635520],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 2759/9331200],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 144211/2985984000],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 23/1105920],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 3739/82944000],
[[[1, 8], [2, 7], [3, 2], [6, 1], [12, 1]], 187/39813120],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 347327/2687385600],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 109/5529600],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 9143/221184000],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 42521/663552000],
[[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 2629/116121600],
[[[1, 8], [2, 7], [4, 1], [6, 1], [9, 1]], 13/4976640],
[[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 649/130636800],
[[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 21617/9405849600],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 62969/10032906240],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 20201/7838208000],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 229037/13934592000],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 3251/49766400],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 24317/398131200],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 6007/265420800],
[[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 37/4423680],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 192569/21946982400],
[[[1, 8], [2, 7], [5, 1], [6, 1], [12, 1]], 17/11059200],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/3686400],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 273121/83607552000],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 89009/1337720832],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 691253/140460687360],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 119/8294400],
[[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 61/53084160],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 13282301/133772083200],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 77053/10032906240],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 43/8847360],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 1789589/125411328000],
[[[1, 8], [2, 9], [3, 1], [6, 1], [12, 1]], 7/13271040],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 3649189/105345515520],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 5699/331776000],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 1168217/87787929600],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 14434603/877879296000],
[[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 1/1105920],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 5732747/501645312000],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 29/860160],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/258048],
[[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 11/2580480],
[[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 1/1105920],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 7/4423680],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 1/884736],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 4]], 1/111974400],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 1801/870912000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 263/12096000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 7151/1088640000],
[[[1, 9], [2, 2], [3, 1], [5, 2], [12, 1]], 53/6912000],
[[[1, 9], [2, 2], [3, 1], [6, 3], [7, 1]], 13/438939648],
[[[1, 9], [2, 2], [3, 1], [6, 3], [9, 1]], 1/940584960],
[[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 17/967680],
[[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 13/4741632],
[[[1, 9], [2, 2], [3, 1], [7, 1], [18, 1]], 13/6096384],
[[[1, 9], [2, 2], [3, 1], [9, 1], [14, 1]], 1/10160640],
[[[1, 9], [2, 2], [3, 1], [9, 1], [18, 1]], 1/13063680],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 31799/232243200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 1/221184],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 1403/54190080],
[[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 101/6967296],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 11/1843200],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 41/6635520],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 3]], 403/293932800],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 173/1209600],
[[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 11/172800],
[[[1, 9], [2, 2], [3, 2], [5, 1], [14, 1]], 1/127008],
[[[1, 9], [2, 2], [3, 2], [5, 1], [18, 1]], 1/163296],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 61807/580608000],
[[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 4979/365783040],
[[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 247/156764160],
[[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 197/10160640],
[[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 37/12700800],
[[[1, 9], [2, 2], [3, 2], [7, 1], [12, 1]], 11/967680],
[[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 11/2177280],
[[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 1/2721600],
[[[1, 9], [2, 2], [3, 2], [9, 1], [12, 1]], 1/1244160],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 3]], 257/302330880],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 94001/1463132160],
[[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 25513/627056640],
[[[1, 9], [2, 2], [3, 3], [4, 1], [14, 1]], 23/9144576],
[[[1, 9], [2, 2], [3, 3], [4, 1], [18, 1]], 23/11757312],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 1259/37324800],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 11/6635520],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 8363/418037760],
[[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 19/3317760],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 5/3981312],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 3421/111974400],
[[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 71/3110400],
[[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 403/64512000],
[[[1, 9], [2, 2], [3, 3], [5, 1], [12, 1]], 1/41472],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 156439/2194698240],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 3007/104509440],
[[[1, 9], [2, 2], [3, 3], [6, 1], [14, 1]], 43/30481920],
[[[1, 9], [2, 2], [3, 3], [6, 1], [18, 1]], 43/39191040],
[[[1, 9], [2, 2], [3, 3], [6, 2], [10, 1]], 43/65318400],
[[[1, 9], [2, 2], [3, 3], [6, 2], [12, 1]], 191/104509440],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 641/9331200],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 133/22394880],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 11293/627056640],
[[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 53/3732480],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 5/1119744],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 1961/19595520],
[[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/186624],
[[[1, 9], [2, 2], [3, 4], [6, 1], [10, 1]], 19/13996800],
[[[1, 9], [2, 2], [3, 4], [6, 1], [12, 1]], 29/2239488],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 853/47029248],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 1/307200],
[[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 1/580608000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 39227/1161216000],
[[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 589/580608000],
[[[1, 9], [2, 2], [4, 1], [6, 3], [7, 1]], 1/156764160],
[[[1, 9], [2, 2], [4, 1], [7, 1], [9, 1]], 1/120960],
[[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 1/1693440],
[[[1, 9], [2, 2], [4, 1], [7, 1], [18, 1]], 1/2177280],
[[[1, 9], [2, 2], [4, 1], [8, 1], [10, 2]], 1/2322432000],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 109/6451200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [9, 1]], 1/414720],
[[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 13/6912000],
[[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 1/96768],
[[[1, 9], [2, 2], [4, 2], [8, 1], [9, 1]], 1/829440],
[[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 1/307200],
[[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 1/22118400],
[[[1, 9], [2, 2], [5, 1], [6, 1], [10, 2]], 1/483840000],
[[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/1814400],
[[[1, 9], [2, 2], [5, 1], [6, 3], [10, 1]], 1/47029248000],
[[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 1/57600],
[[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 2161/1016064000],
[[[1, 9], [2, 2], [5, 1], [9, 1], [10, 1]], 1/14515200],
[[[1, 9], [2, 2], [5, 1], [10, 1], [14, 1]], 1/225792000],
[[[1, 9], [2, 2], [5, 1], [10, 1], [18, 1]], 1/653184000],
[[[1, 9], [2, 2], [5, 2], [6, 1], [10, 1]], 113/120960000],
[[[1, 9], [2, 2], [5, 2], [6, 1], [12, 1]], 113/96768000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 132253/580608000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 899/22574039040],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 37/1935360],
[[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 1/41472000],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 487/5016453120],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 84379/650280960],
[[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 4493/92897280],
[[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 73/9031680],
[[[1, 9], [2, 4], [3, 1], [4, 2], [18, 1]], 53/8709120],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 40301/464486400],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 1/311040],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 13303/185794560],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 1/5529600],
[[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 1/276480],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 307/35389440],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 311/111974400],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 1567/14515200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 43/1382400],
[[[1, 9], [2, 4], [3, 1], [5, 1], [14, 1]], 17/1209600],
[[[1, 9], [2, 4], [3, 1], [5, 1], [18, 1]], 17/1555200],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 80303/696729600],
[[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 13/1393459200],
[[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 16829/1463132160],
[[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 43/156764160],
[[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 23/975421440],
[[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 13/250822656],
[[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1/1567641600],
[[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 59/1935360],
[[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 1451/101606400],
[[[1, 9], [2, 4], [3, 1], [7, 1], [12, 1]], 1/258048],
[[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 1/276480],
[[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 43/43545600],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 2741/250822656],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 15923/97542144],
[[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 7751/104509440],
[[[1, 9], [2, 4], [3, 2], [4, 1], [14, 1]], 37/1935360],
[[[1, 9], [2, 4], [3, 2], [4, 1], [18, 1]], 37/2488320],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 2767/10886400],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 39439/836075520],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 12377/92897280],
[[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 19/2764800],
[[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 13/552960],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 3223/61931520],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 372103/3135283200],
[[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 13/276480],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 8447/232243200],
[[[1, 9], [2, 4], [3, 2], [5, 1], [12, 1]], 5/331776],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 187343/1463132160],
[[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 22843/627056640],
[[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 59/6773760],
[[[1, 9], [2, 4], [3, 2], [6, 1], [18, 1]], 17/2612736],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 13/1327104],
[[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 17/3225600],
[[[1, 9], [2, 4], [3, 2], [6, 2], [12, 1]], 17/3483648],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 109/518400],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 449861/3224862720],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 443/5971968],
[[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 1727/97977600],
[[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 55/1990656],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 133849/836075520],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 26863/111974400],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 23/552960],
[[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 7087/391910400],
[[[1, 9], [2, 4], [3, 3], [6, 1], [12, 1]], 253/11197440],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 2053/11197440],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 1/9953280],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 299/2150400],
[[[1, 9], [2, 4], [4, 1], [5, 1], [9, 1]], 17/691200],
[[[1, 9], [2, 4], [4, 1], [5, 1], [14, 1]], 1/107520],
[[[1, 9], [2, 4], [4, 1], [5, 1], [18, 1]], 1/138240],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 59/3456000],
[[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1/1161216000],
[[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 11/5225472],
[[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 1/975421440],
[[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 1/627056640],
[[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 137/15049359360],
[[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1/6270566400],
[[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 629/15482880],
[[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 11/1451520],
[[[1, 9], [2, 4], [4, 1], [8, 1], [9, 1]], 1/276480],
[[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 37/39813120],
[[[1, 9], [2, 4], [4, 1], [8, 1], [18, 1]], 1/1548288],
[[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 1/812851200],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 1/1658880],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 137/1228800],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 175921/27869184000],
[[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 11/552960],
[[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 1/60963840],
[[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 1/26127360],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 67/209018880],
[[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/4180377600],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 67/58060800],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 17/1382400],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 17/2211840],
[[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 1/5529600],
[[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 1/4423680],
[[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 17/1451520],
[[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 2063/62705664000],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 1/1720320],
[[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 1/907200],
[[[1, 9], [2, 4], [6, 1], [7, 1], [12, 1]], 1/725760],
[[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1/812851200],
[[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 1/1045094400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 14687/2508226560],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 3139/46448640],
[[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 383/19906560],
[[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 71/4354560],
[[[1, 9], [2, 6], [3, 1], [4, 1], [18, 1]], 19/1658880],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 24611/132710400],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 163879/3344302080],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 11663/92897280],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 421/12902400],
[[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 37/4423680],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 251809/2229534720],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 70813/2985984000],
[[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 203/11059200],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 4343/174182400],
[[[1, 9], [2, 6], [3, 1], [5, 1], [12, 1]], 17/11059200],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 49909/1463132160],
[[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 4699/783820800],
[[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 8233/1950842880],
[[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 17/5971968],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 25379/12541132800],
[[[1, 9], [2, 6], [3, 1], [6, 2], [12, 1]], 1/491520],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 3803/33177600],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 70193/418037760],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 4637/79626240],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 127/3317760],
[[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 7/829440],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 150757/557383680],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 6576469/62705664000],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 191/6635520],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 3169/116121600],
[[[1, 9], [2, 6], [3, 2], [6, 1], [12, 1]], 253/39813120],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 2325989/11287019520],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 41/5529600],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 1843/36864000],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 1350509/41803776000],
[[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 17327/1045094400],
[[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 253/1300561920],
[[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 1513/5016453120],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 22633/20065812480],
[[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 193/4180377600],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 15983/3981312000],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 61/1658880],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 13309/836075520],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 1919/477757440],
[[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 11/2654208],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 760013/313528320000],
[[[1, 9], [2, 6], [5, 1], [6, 1], [12, 1]], 101/55296000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 14434603/877879296000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 3649189/105345515520],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 1168217/87787929600],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 5699/331776000],
[[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 1/1105920],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 13282301/133772083200],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 1789589/125411328000],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 43/8847360],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 77053/10032906240],
[[[1, 9], [2, 8], [3, 1], [6, 1], [12, 1]], 7/13271040],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 89009/1337720832],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 119/8294400],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 691253/140460687360],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 273121/83607552000],
[[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 61/53084160],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 3517170241/252829237248000],
[[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 43/24192000],
[[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 11/9676800],
[[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 1/4147200],
[[[1, 9], [3, 1], [5, 1], [6, 2], [7, 1]], 1/3628800],
[[[1, 9], [3, 1], [5, 1], [7, 1], [12, 1]], 1/604800],
[[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 37/20321280],
[[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 1/4354560],
[[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 17/6220800],
[[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/806400],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 17/16128000],
[[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 1/7741440],
[[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/2211840],
[[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 1/19906560],
[[[1, 10], [2, 1], [3, 1], [5, 2], [6, 2]], 113/580608000],
[[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 43/24192000],
[[[1, 10], [2, 1], [3, 1], [5, 2], [10, 1]], 73/483840000],
[[[1, 10], [2, 1], [3, 1], [5, 2], [12, 1]], 113/96768000],
[[[1, 10], [2, 1], [3, 1], [6, 3], [7, 1]], 121/98761420800],
[[[1, 10], [2, 1], [3, 1], [6, 3], [9, 1]], 1/42326323200],
[[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 419/182891520],
[[[1, 10], [2, 1], [3, 1], [7, 1], [14, 1]], 121/1066867200],
[[[1, 10], [2, 1], [3, 1], [7, 1], [18, 1]], 121/1371686400],
[[[1, 10], [2, 1], [3, 1], [9, 1], [14, 1]], 1/457228800],
[[[1, 10], [2, 1], [3, 1], [9, 1], [18, 1]], 1/587865600],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 155917/10450944000],
[[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 13/13547520],
[[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 1/4354560],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 13/16588800],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 1/5308416],
[[[1, 10], [2, 1], [3, 2], [5, 1], [6, 3]], 1/11757312],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 12967/457228800],
[[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 2011/195955200],
[[[1, 10], [2, 1], [3, 2], [5, 1], [14, 1]], 11/25401600],
[[[1, 10], [2, 1], [3, 2], [5, 1], [18, 1]], 11/32659200],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 234863/26127360000],
[[[1, 10], [2, 1], [3, 2], [6, 2], [7, 1]], 13/48771072],
[[[1, 10], [2, 1], [3, 2], [6, 2], [9, 1]], 1/104509440],
[[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 37/20321280],
[[[1, 10], [2, 1], [3, 2], [7, 1], [12, 1]], 13/8128512],
[[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 1/4354560],
[[[1, 10], [2, 1], [3, 2], [9, 1], [12, 1]], 1/17418240],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 27401/4389396480],
[[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 11/3317760],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 11/9331200],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 23/20901888],
[[[1, 10], [2, 1], [3, 3], [5, 1], [6, 2]], 1/1306368],
[[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 17/6220800],
[[[1, 10], [2, 1], [3, 3], [5, 1], [10, 1]], 3971/47029248000],
[[[1, 10], [2, 1], [3, 3], [5, 1], [12, 1]], 1/217728],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 63731/10973491200],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1133/671846400],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 1331/156764160],
[[[1, 10], [2, 1], [3, 4], [4, 1], [6, 2]], 23/94058496],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 11/5160960],
[[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 23/15676416],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/4478976],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 2029/195955200],
[[[1, 10], [2, 1], [3, 4], [6, 1], [10, 1]], 121/1175731200],
[[[1, 10], [2, 1], [3, 4], [6, 1], [12, 1]], 179/188116992],
[[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/3359232],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 30841/11612160000],
[[[1, 10], [2, 1], [4, 1], [7, 1], [9, 1]], 1/2177280],
[[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1/1209600],
[[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 1/3870720],
[[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/7372800],
[[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/806400],
[[[1, 10], [2, 1], [5, 1], [7, 1], [10, 1]], 17/6096384000],
[[[1, 10], [2, 1], [5, 1], [9, 1], [10, 1]], 1/653184000],
[[[1, 10], [2, 1], [5, 2], [6, 1], [10, 1]], 253/5443200000],
[[[1, 10], [2, 1], [5, 2], [6, 1], [12, 1]], 253/4354560000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 13523/145152000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 4]], 211/112870195200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 23/7741440],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 71/15049359360],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 98851/3657830400],
[[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 26777/3135283200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [14, 1]], 17/40642560],
[[[1, 10], [2, 3], [3, 1], [4, 2], [18, 1]], 17/52254720],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 3/229376],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 1/26542080],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 1453/185794560],
[[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 1/4423680],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 17/106168320],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 607/3135283200],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 1069/19353600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 359/24883200],
[[[1, 10], [2, 3], [3, 1], [5, 1], [14, 1]], 103/33868800],
[[[1, 10], [2, 3], [3, 1], [5, 1], [18, 1]], 103/43545600],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 5429/139345920],
[[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 1/6967296000],
[[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 11063/8230118400],
[[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 17/881798400],
[[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 1/2926264320],
[[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 1/1254113280],
[[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 527/54190080],
[[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 139/71442000],
[[[1, 10], [2, 3], [3, 1], [7, 1], [12, 1]], 1/725760],
[[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 1/1548288],
[[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 17/244944000],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 3343/3762339840],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 28733/487710720],
[[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 1237/52254720],
[[[1, 10], [2, 3], [3, 2], [4, 1], [14, 1]], 227/81285120],
[[[1, 10], [2, 3], [3, 2], [4, 1], [18, 1]], 227/104509440],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 47491/696729600],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 691/185794560],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 44951/1672151040],
[[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 53/11612160],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 47/9289728],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 4117/195955200],
[[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 25/1161216],
[[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 68221/10450944000],
[[[1, 10], [2, 3], [3, 2], [5, 1], [12, 1]], 17/2073600],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 1913/52254720],
[[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 1081/125411328],
[[[1, 10], [2, 3], [3, 2], [6, 1], [14, 1]], 19/20321280],
[[[1, 10], [2, 3], [3, 2], [6, 1], [18, 1]], 19/26127360],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/1327104],
[[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 19/43545600],
[[[1, 10], [2, 3], [3, 2], [6, 2], [12, 1]], 19/34836480],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 6821/65318400],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 630613/37623398400],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 14509/557383680],
[[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 23/13063680],
[[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 37/3317760],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 2221/92897280],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 304807/3135283200],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 631/69672960],
[[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 869/391910400],
[[[1, 10], [2, 3], [3, 3], [6, 1], [12, 1]], 503/78382080],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 92149/1881169920],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 73/6270566400],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 859/19353600],
[[[1, 10], [2, 3], [4, 1], [5, 1], [9, 1]], 1/138240],
[[[1, 10], [2, 3], [4, 1], [5, 1], [14, 1]], 73/67737600],
[[[1, 10], [2, 3], [4, 1], [5, 1], [18, 1]], 73/87091200],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 2747/580608000],
[[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 1/8709120],
[[[1, 10], [2, 3], [4, 1], [6, 3], [8, 1]], 23/37623398400],
[[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 2453/325140480],
[[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 1/2419200],
[[[1, 10], [2, 3], [4, 1], [8, 1], [9, 1]], 1/1548288],
[[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 1/17203200],
[[[1, 10], [2, 3], [4, 1], [8, 1], [18, 1]], 23/522547200],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 8231/464486400],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 203/1327104000],
[[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 19/5806080],
[[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 1/3901685760],
[[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 1/1672151040],
[[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/3344302080],
[[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 1/928972800],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1/1105920],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 1/2211840],
[[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1/453600],
[[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 13/20901888000],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 23/580608000],
[[[1, 10], [2, 3], [6, 1], [7, 1], [10, 1]], 17/101606400],
[[[1, 10], [2, 3], [6, 1], [7, 1], [12, 1]], 17/81285120],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 19993/25082265600],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 11749/216760320],
[[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 12869/836075520],
[[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 157/27095040],
[[[1, 10], [2, 5], [3, 1], [4, 1], [18, 1]], 29/6531840],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 5707/44236800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 54749/5016453120],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 533/9289728],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 3989/696729600],
[[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 11/2654208],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 1957951/66886041600],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 174283/20901888000],
[[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 193/11059200],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 40519/3483648000],
[[[1, 10], [2, 5], [3, 1], [5, 1], [12, 1]], 101/55296000],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 12774617/658409472000],
[[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 459001/141087744000],
[[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 7331/7315660800],
[[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 11/14515200],
[[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 61/130636800],
[[[1, 10], [2, 5], [3, 1], [6, 2], [12, 1]], 157/278691840],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 383/2867200],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 26737/501645312],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 10135/222953472],
[[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 4889/348364800],
[[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 19/2211840],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 251687/2229534720],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 5755513/62705664000],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 193/11612160],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 913/116121600],
[[[1, 10], [2, 5], [3, 2], [6, 1], [12, 1]], 41/9953280],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 261071/1881169920],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 1963/1045094400],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 697/24576000],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 14587/1857945600],
[[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 473/69672960],
[[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 13/1950842880],
[[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 11/836075520],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 8779/50164531200],
[[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1/1393459200],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 2923/4644864000],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 79/5529600],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 10327/3344302080],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 197/265420800],
[[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 113/123863040],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 4117/5225472000],
[[[1, 10], [2, 5], [5, 1], [6, 1], [12, 1]], 29/33177600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 107453/2786918400],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 21563599/1504935936000],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 33899/1857945600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 89/7257600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 61/53084160],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 1490927/22295347200],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 770713/41803776000],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 71/17694720],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 289577/83607552000],
[[[1, 10], [2, 7], [3, 1], [6, 1], [12, 1]], 1/1555200],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 138403/1791590400],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 98411/10450944000],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 705557/501645312000],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 23309/27869184000],
[[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 59/66355200],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 3517170241/252829237248000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 135433/8709120000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 1/7741440],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 13607/6502809600],
[[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 3821/8360755200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 1/1146880],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 59/185794560],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 3]], 209/70543872000],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 5147/406425600],
[[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 1493/522547200],
[[[1, 11], [2, 2], [3, 1], [5, 1], [14, 1]], 209/762048000],
[[[1, 11], [2, 2], [3, 1], [5, 1], [18, 1]], 209/979776000],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 574841/104509440000],
[[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 1249/21946982400],
[[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 1/2351462400],
[[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 1523/1219276800],
[[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 121/1524096000],
[[[1, 11], [2, 2], [3, 1], [7, 1], [12, 1]], 17/81285120],
[[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 23/522547200],
[[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1/653184000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 3]], 1537/84652646400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 63647/7315660800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 2383/783820800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [14, 1]], 451/3657830400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [18, 1]], 451/4702924800],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 13661/2090188800],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 121/1672151040],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 34117/16721510400],
[[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 17/69672960],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 43/278691840],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1489/1045094400],
[[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 211/58060800],
[[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 859/2322432000],
[[[1, 11], [2, 2], [3, 2], [5, 1], [12, 1]], 103/58060800],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 189473/43893964800],
[[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 15977/18811699200],
[[[1, 11], [2, 2], [3, 2], [6, 1], [14, 1]], 31/914457600],
[[[1, 11], [2, 2], [3, 2], [6, 1], [18, 1]], 31/1175731200],
[[[1, 11], [2, 2], [3, 2], [6, 2], [10, 1]], 31/1959552000],
[[[1, 11], [2, 2], [3, 2], [6, 2], [12, 1]], 31/1567641600],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 127271/6270566400],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 571/836075520],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 19399/5374771200],
[[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 227/139345920],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 833/716636160],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 121409/7838208000],
[[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 43/69672960],
[[[1, 11], [2, 2], [3, 3], [6, 1], [10, 1]], 11/78382080],
[[[1, 11], [2, 2], [3, 3], [6, 1], [12, 1]], 113/156764160],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 63673/14108774400],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 3]], 43/94058496000],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 493/81285120],
[[[1, 11], [2, 2], [4, 1], [5, 1], [9, 1]], 73/87091200],
[[[1, 11], [2, 2], [4, 1], [5, 1], [14, 1]], 43/1016064000],
[[[1, 11], [2, 2], [4, 1], [5, 1], [18, 1]], 43/1306368000],
[[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 2669/4354560000],
[[[1, 11], [2, 2], [4, 1], [6, 3], [8, 1]], 1/75246796800],
[[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 719/1393459200],
[[[1, 11], [2, 2], [4, 1], [8, 1], [9, 1]], 23/522547200],
[[[1, 11], [2, 2], [4, 1], [8, 1], [14, 1]], 1/812851200],
[[[1, 11], [2, 2], [4, 1], [8, 1], [18, 1]], 1/1045094400],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 5221/4644864000],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 1/442368000],
[[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 1/5806080],
[[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/7257600],
[[[1, 11], [2, 2], [5, 1], [8, 1], [10, 1]], 1/1161216000],
[[[1, 11], [2, 2], [6, 1], [7, 1], [10, 1]], 1/95256000],
[[[1, 11], [2, 2], [6, 1], [7, 1], [12, 1]], 1/76204800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 3337/75246796800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 36131/1828915200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 16769/3135283200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [14, 1]], 79/81285120],
[[[1, 11], [2, 4], [3, 1], [4, 1], [18, 1]], 79/104509440],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 1648769/41803776000],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 45163/33443020800],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 16783/1393459200],
[[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 17/58060800],
[[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 113/123863040],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 82321/22295347200],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 285629/188116992000],
[[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 193/25804800],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 41143/17418240000],
[[[1, 11], [2, 4], [3, 1], [5, 1], [12, 1]], 29/33177600],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 7171/1371686400],
[[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 7831/9405849600],
[[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 403/3251404800],
[[[1, 11], [2, 4], [3, 1], [6, 1], [18, 1]], 43/447897600],
[[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 403/6967296000],
[[[1, 11], [2, 4], [3, 1], [6, 2], [12, 1]], 43/597196800],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 3853/58060800],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1902073/225740390400],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 3727/238878720],
[[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 3887/1959552000],
[[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 29/8709120],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 1083247/50164531200],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 152639/4180377600],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 1/245760],
[[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 18019/15676416000],
[[[1, 11], [2, 4], [3, 2], [6, 1], [12, 1]], 7/5971968],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 104681/2508226560],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 13/61236000],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 3523/464486400],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 40297/46448640000],
[[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 227/162570240],
[[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1/11705057280],
[[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 1/5016453120],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 161/14332723200],
[[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 161/3981312000],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 41/12902400],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 1867/5573836800],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 89/1327104000],
[[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 233/2786918400],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 3341/20901888000],
[[[1, 11], [2, 4], [5, 1], [6, 1], [12, 1]], 1/5160960],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 35321/928972800],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 15707/3583180800],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 33869/2786918400],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 29651/6967296000],
[[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 59/66355200],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 25417/955514880],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 24124957/1881169920000],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 181/92897280],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 9481/9289728000],
[[[1, 11], [2, 6], [3, 1], [6, 1], [12, 1]], 263/696729600],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 52292701/1128701952000],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 336757/78382080000],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 180407/501645312000],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 293/1114767360],
[[[1, 11], [2, 6], [4, 1], [6, 1], [12, 1]], 1/3096576],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 5732747/501645312000],
[[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 121/2438553600],
[[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/1045094400],
[[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 11/58060800],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 44537/52254720000],
[[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 137/2438553600],
[[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 1/522547200],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 23/464486400],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/185794560],
[[[1, 12], [2, 1], [3, 1], [5, 1], [6, 3]], 13/141087744000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 46871/36578304000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 181/746496000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [14, 1]], 13/1524096000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [18, 1]], 13/1959552000],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 28261/104509440000],
[[[1, 12], [2, 1], [3, 1], [6, 2], [7, 1]], 1/457228800],
[[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 121/2438553600],
[[[1, 12], [2, 1], [3, 1], [7, 1], [12, 1]], 1/76204800],
[[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 1/1045094400],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 2083/4877107200],
[[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 1177/9405849600],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 233/1393459200],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 451/8360755200],
[[[1, 12], [2, 1], [3, 2], [5, 1], [6, 2]], 209/7838208000],
[[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 11/58060800],
[[[1, 12], [2, 1], [3, 2], [5, 1], [10, 1]], 109/62705664000],
[[[1, 12], [2, 1], [3, 2], [5, 1], [12, 1]], 209/1306368000],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 7067/43893964800],
[[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 533/18811699200],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 30911/23514624000],
[[[1, 12], [2, 1], [3, 3], [4, 1], [6, 2]], 451/37623398400],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 949/5016453120],
[[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 451/6270566400],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 43/1672151040],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 12727/15676416000],
[[[1, 12], [2, 1], [3, 3], [6, 1], [10, 1]], 13/2519424000],
[[[1, 12], [2, 1], [3, 3], [6, 1], [12, 1]], 37/1410877440],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 121/1881169920],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 3461/12192768000],
[[[1, 12], [2, 1], [4, 1], [5, 1], [9, 1]], 43/1306368000],
[[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 253/8709120000],
[[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 23/1950842880],
[[[1, 12], [2, 1], [4, 1], [8, 1], [9, 1]], 1/1045094400],
[[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 43/2322432000],
[[[1, 12], [2, 1], [4, 2], [5, 1], [10, 1]], 1/27869184000],
[[[1, 12], [2, 1], [6, 1], [7, 1], [10, 1]], 1/4572288000],
[[[1, 12], [2, 1], [6, 1], [7, 1], [12, 1]], 1/3657830400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 11/14108774400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 202493/58525286400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 21509/25082265600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [14, 1]], 11/152409600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [18, 1]], 11/195955200],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 90203/16721510400],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 359/5573836800],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 19139/16721510400],
[[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 233/2786918400],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 4421/22295347200],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 23771/188116992000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 5053/3483648000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 21737/104509440000],
[[[1, 12], [2, 3], [3, 1], [5, 1], [12, 1]], 1/5160960],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 19223/29262643200],
[[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 317/3135283200],
[[[1, 12], [2, 3], [3, 1], [6, 1], [14, 1]], 17/2438553600],
[[[1, 12], [2, 3], [3, 1], [6, 1], [18, 1]], 17/3135283200],
[[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 17/5225472000],
[[[1, 12], [2, 3], [3, 1], [6, 2], [12, 1]], 17/4180377600],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 40079/2612736000],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 45061/75246796800],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 11507/4777574400],
[[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 451/5225472000],
[[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 79/139345920],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 177559/100329062400],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 214033/31352832000],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 443/1045094400],
[[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 1417/15676416000],
[[[1, 12], [2, 3], [3, 2], [6, 1], [12, 1]], 487/3135283200],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 140081/25082265600],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 43/5225472000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 26311/27869184000],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 1601/46448640000],
[[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 341/2438553600],
[[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 1/4180377600],
[[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 1/1161216000],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 569/1741824000],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 47/2786918400],
[[[1, 12], [2, 3], [4, 2], [6, 1], [10, 1]], 1/464486400],
[[[1, 12], [2, 3], [4, 2], [6, 1], [12, 1]], 1/371589120],
[[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 881/52254720000],
[[[1, 12], [2, 3], [5, 1], [6, 1], [12, 1]], 73/3483648000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 759623/41803776000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 23131/30098718720],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 16697/4180377600],
[[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 3643/5225472000],
[[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 1/3096576],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 154561/26754416640],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 8757607/1881169920000],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 83/174182400],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 583/3344302080],
[[[1, 12], [2, 5], [3, 1], [6, 1], [12, 1]], 1/9289728],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 153091/10749542400],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 11969/10450944000],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 1633/33443020800],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 1303/27869184000],
[[[1, 12], [2, 5], [4, 1], [6, 1], [12, 1]], 61/1045094400],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 5133739/859963392000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 3]], 1/48372940800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 8171/29262643200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 769/12541132800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [14, 1]], 1/522547200],
[[[1, 13], [2, 2], [3, 1], [4, 1], [18, 1]], 1/671846400],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 4891/16721510400],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 1/2229534720],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 817/16721510400],
[[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 1/371589120],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 211/66886041600],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 323/62705664000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 431/3483648000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 19/2903040000],
[[[1, 13], [2, 2], [3, 1], [5, 1], [12, 1]], 73/3483648000],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 1/29030400],
[[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 13/2351462400],
[[[1, 13], [2, 2], [3, 1], [6, 1], [14, 1]], 1/7315660800],
[[[1, 13], [2, 2], [3, 1], [6, 1], [18, 1]], 1/9405849600],
[[[1, 13], [2, 2], [3, 1], [6, 2], [10, 1]], 1/15676416000],
[[[1, 13], [2, 2], [3, 1], [6, 2], [12, 1]], 1/12541132800],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 6707/4180377600],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 53/3135283200],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 1169/7166361600],
[[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 11/261273600],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 43/783820800],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 36199/62705664000],
[[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 31/2090188800],
[[[1, 13], [2, 2], [3, 2], [6, 1], [10, 1]], 13/3135283200],
[[[1, 13], [2, 2], [3, 2], [6, 1], [12, 1]], 29/3135283200],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 64859/225740390400],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 103/1990656000],
[[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 1/11943936000],
[[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 1/149299200],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 43/3483648000],
[[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/2786918400],
[[[1, 13], [2, 2], [5, 1], [6, 1], [10, 1]], 11/13063680000],
[[[1, 13], [2, 2], [5, 1], [6, 1], [12, 1]], 11/10450944000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 17993/3981312000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 15877/225740390400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 631/955514880],
[[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 799/15676416000],
[[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 61/1045094400],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 36991/57330892800],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 44293/50164531200],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 53/928972800],
[[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 31/1741824000],
[[[1, 13], [2, 4], [3, 1], [6, 1], [12, 1]], 101/6270566400],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 18817/8360755200],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 289/1741824000],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 7/2388787200],
[[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 1/232243200],
[[[1, 13], [2, 4], [4, 1], [6, 1], [12, 1]], 1/185794560],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 9217337/5159780352000],
[[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 13/3483648000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 481/58525286400],
[[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 17/10749542400],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 457/83607552000],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 1/1194393600],
[[[1, 14], [2, 1], [3, 1], [5, 1], [6, 2]], 11/62705664000],
[[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 13/3483648000],
[[[1, 14], [2, 1], [3, 1], [5, 1], [10, 1]], 19/2194698240000],
[[[1, 14], [2, 1], [3, 1], [5, 1], [12, 1]], 11/10450944000],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/1791590400],
[[[1, 14], [2, 1], [3, 1], [6, 1], [9, 1]], 1/9405849600],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 3743/62705664000],
[[[1, 14], [2, 1], [3, 2], [4, 1], [6, 2]], 1/5374771200],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 79/15606743040],
[[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 1/895795200],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 31/50164531200],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 341/19595520000],
[[[1, 14], [2, 1], [3, 2], [6, 1], [10, 1]], 31/329204736000],
[[[1, 14], [2, 1], [3, 2], [6, 1], [12, 1]], 13/65840947200],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 13/4031078400],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 157/139345920000],
[[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/7315660800],
[[[1, 14], [2, 1], [5, 1], [6, 1], [10, 1]], 1/65318400000],
[[[1, 14], [2, 1], [5, 1], [6, 1], [12, 1]], 1/52254720000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 2347/3981312000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 503/150493593600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 73/1337720832],
[[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 1/746496000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 1/185794560],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 49/1433272320],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 1433/16721510400],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 13/4180377600],
[[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 1/895795200],
[[[1, 14], [2, 3], [3, 1], [6, 1], [12, 1]], 1/783820800],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 13241/75246796800],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 13/995328000],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 1/16721510400],
[[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 1/5225472000],
[[[1, 14], [2, 3], [4, 1], [6, 1], [12, 1]], 1/4180377600],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 724799/2407897497600],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 15739/418037760000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/12541132800],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 7711/3511517184000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 1/4180377600],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 139/200658124800],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 4867/1254113280000],
[[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 1/16721510400],
[[[1, 15], [2, 2], [3, 1], [6, 1], [10, 1]], 11/274337280000],
[[[1, 15], [2, 2], [3, 1], [6, 1], [12, 1]], 11/219469824000],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1811/300987187200],
[[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 1/1866240000],
[[[1, 15], [2, 2], [4, 1], [6, 1], [10, 1]], 1/313528320000],
[[[1, 15], [2, 2], [4, 1], [6, 1], [12, 1]], 1/250822656000],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 11359/401316249600],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 8081/8778792960000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [6, 2]], 1/1504935936000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 17/390168576000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 1/250822656000],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/401316249600],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 11/179159040000],
[[[1, 16], [2, 1], [3, 1], [6, 1], [10, 1]], 1/1646023680000],
[[[1, 16], [2, 1], [3, 1], [6, 1], [12, 1]], 1/1316818944000],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 31/526727577600],
[[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/104509440000],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 30329/21069103104000],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 1321/36118462464000],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 1/2633637888000],
[[[2, 3], [3, 2], [5, 2], [6, 1], [10, 2]], 1/28800],
[[[2, 3], [3, 2], [6, 2], [10, 2], [14, 1]], 1/151200],
[[[2, 3], [3, 2], [6, 2], [10, 2], [18, 1]], 1/64800],
[[[2, 3], [3, 2], [6, 3], [14, 1], [18, 1]], 1/27216],
[[[2, 3], [4, 1], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[2, 3], [4, 1], [6, 2], [8, 1], [14, 2]], 1/28224],
[[[2, 3], [4, 1], [6, 2], [8, 1], [18, 2]], 1/5184],
[[[2, 3], [5, 2], [6, 1], [10, 2], [12, 1]], 1/4800],
[[[2, 3], [6, 1], [10, 2], [14, 1], [18, 1]], 1/4725],
[[[2, 3], [6, 2], [10, 2], [12, 1], [14, 1]], 1/25200],
[[[2, 3], [6, 2], [10, 2], [12, 1], [18, 1]], 1/10800],
[[[2, 3], [6, 3], [10, 1], [14, 1], [18, 1]], 1/5670],
[[[2, 3], [6, 3], [12, 1], [14, 1], [18, 1]], 1/4536],
[[[2, 5], [3, 2], [6, 1], [10, 2], [14, 1]], 1/302400],
[[[2, 5], [3, 2], [6, 2], [14, 1], [18, 1]], 1/54432],
[[[2, 5], [3, 2], [6, 3], [10, 1], [14, 1]], 1/90720],
[[[2, 5], [3, 2], [6, 3], [10, 1], [18, 1]], 1/38880],
[[[2, 5], [4, 1], [6, 1], [8, 1], [10, 3]], 1/48000],
[[[2, 5], [4, 1], [6, 1], [8, 1], [14, 2]], 1/28224],
[[[2, 5], [4, 1], [6, 3], [8, 1], [10, 2]], 1/259200],
[[[2, 5], [4, 1], [6, 4], [8, 1], [14, 1]], 1/108864],
[[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 1/46656],
[[[2, 5], [4, 1], [8, 1], [10, 2], [14, 1]], 1/67200],
[[[2, 5], [4, 2], [6, 1], [10, 2], [14, 1]], 1/806400],
[[[2, 5], [4, 2], [6, 1], [10, 2], [18, 1]], 1/345600],
[[[2, 5], [4, 2], [6, 2], [14, 1], [18, 1]], 1/145152],
[[[2, 5], [6, 1], [10, 2], [12, 1], [14, 1]], 1/50400],
[[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/1890],
[[[2, 5], [6, 2], [12, 1], [14, 1], [18, 1]], 1/9072],
[[[2, 5], [6, 3], [10, 1], [12, 1], [14, 1]], 1/15120],
[[[2, 5], [6, 3], [10, 1], [12, 1], [18, 1]], 1/6480],
[[[2, 7], [3, 2], [6, 2], [10, 1], [14, 1]], 11/1814400],
[[[2, 7], [3, 2], [6, 2], [10, 1], [18, 1]], 1/777600],
[[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 13/691200],
[[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/124416],
[[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 1/124416],
[[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 1/155520],
[[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 1/290304],
[[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 1/207360],
[[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/9450],
[[[2, 7], [6, 2], [10, 1], [12, 1], [14, 1]], 11/302400],
[[[2, 7], [6, 2], [10, 1], [12, 1], [18, 1]], 1/129600],
[[[2, 9], [3, 2], [6, 1], [10, 1], [14, 1]], 1/3628800],
[[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 43/24192000],
[[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 37/20321280],
[[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 1/4354560],
[[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 17/6220800],
[[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/806400],
[[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 11/9676800],
[[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 1/4147200],
[[[2, 9], [6, 1], [10, 1], [12, 1], [14, 1]], 1/604800],
[[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 121/2438553600],
[[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/1045094400],
[[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 11/58060800],
[[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 13/3483648000],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [14, 2]], 1/26460],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [18, 2]], 1/4860],
[[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [10, 2]], 1/28800],
[[[1, 1], [2, 2], [3, 1], [5, 2], [10, 2], [12, 1]], 1/4800],
[[[1, 1], [2, 2], [3, 1], [6, 2], [12, 1], [14, 2]], 1/21168],
[[[1, 1], [2, 2], [3, 1], [6, 2], [12, 1], [18, 2]], 1/3888],
[[[1, 1], [2, 2], [3, 1], [6, 3], [10, 2], [14, 1]], 1/151200],
[[[1, 1], [2, 2], [3, 1], [6, 3], [10, 2], [18, 1]], 1/64800],
[[[1, 1], [2, 2], [3, 1], [6, 4], [14, 1], [18, 1]], 1/27216],
[[[1, 1], [2, 2], [3, 2], [5, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 2], [3, 2], [5, 3], [6, 1], [10, 1]], 1/72000],
[[[1, 1], [2, 2], [3, 3], [6, 1], [10, 2], [14, 1]], 1/1360800],
[[[1, 1], [2, 2], [3, 3], [6, 1], [10, 2], [18, 1]], 1/583200],
[[[1, 1], [2, 2], [3, 3], [6, 2], [14, 1], [18, 1]], 1/244944],
[[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 1], [2, 2], [4, 1], [5, 3], [8, 1], [10, 1]], 1/16000],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [14, 2]], 1/28224],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [18, 2]], 1/5184],
[[[1, 1], [2, 2], [5, 1], [6, 1], [10, 1], [14, 2]], 1/2940],
[[[1, 1], [2, 2], [5, 1], [6, 1], [10, 1], [18, 2]], 1/1620],
[[[1, 1], [2, 2], [5, 1], [6, 1], [10, 3], [12, 1]], 1/12000],
[[[1, 1], [2, 2], [5, 1], [6, 2], [10, 2], [14, 1]], 1/6300],
[[[1, 1], [2, 2], [5, 1], [6, 2], [10, 2], [18, 1]], 1/2700],
[[[1, 1], [2, 2], [5, 1], [6, 4], [10, 1], [14, 1]], 1/272160],
[[[1, 1], [2, 2], [5, 1], [6, 4], [10, 1], [18, 1]], 1/116640],
[[[1, 1], [2, 2], [5, 3], [6, 1], [10, 1], [12, 1]], 1/12000],
[[[1, 1], [2, 2], [6, 1], [7, 1], [10, 2], [14, 1]], 1/14700],
[[[1, 1], [2, 2], [6, 1], [7, 1], [10, 2], [18, 1]], 1/6300],
[[[1, 1], [2, 2], [6, 1], [9, 1], [10, 2], [14, 1]], 1/18900],
[[[1, 1], [2, 2], [6, 1], [9, 1], [10, 2], [18, 1]], 1/8100],
[[[1, 1], [2, 2], [6, 2], [7, 1], [14, 1], [18, 1]], 1/2646],
[[[1, 1], [2, 2], [6, 2], [9, 1], [14, 1], [18, 1]], 1/3402],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [10, 2]], 1/9600],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 2]], 1/42336],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [18, 2]], 1/7776],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 3]], 1/45000],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [14, 2]], 1/26460],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [10, 2]], 1/243000],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 4], [14, 1]], 1/102060],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 4], [18, 1]], 1/43740],
[[[1, 1], [2, 4], [3, 1], [5, 1], [7, 1], [10, 2]], 1/12600],
[[[1, 1], [2, 4], [3, 1], [5, 1], [9, 1], [10, 2]], 1/5400],
[[[1, 1], [2, 4], [3, 1], [5, 1], [10, 2], [14, 1]], 1/63000],
[[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [10, 2]], 1/3600],
[[[1, 1], [2, 4], [3, 1], [6, 1], [10, 3], [12, 1]], 1/36000],
[[[1, 1], [2, 4], [3, 1], [6, 1], [12, 1], [14, 2]], 1/21168],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [14, 1]], 41/302400],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [18, 1]], 1/5400],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 2], [12, 1]], 1/19440],
[[[1, 1], [2, 4], [3, 1], [6, 3], [14, 1], [18, 1]], 7/7776],
[[[1, 1], [2, 4], [3, 1], [6, 4], [10, 1], [14, 1]], 1/10080],
[[[1, 1], [2, 4], [3, 1], [6, 4], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [14, 1]], 5/40824],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [18, 1]], 5/17496],
[[[1, 1], [2, 4], [3, 1], [10, 2], [12, 1], [14, 1]], 1/50400],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 3]], 1/144000],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [10, 2]], 1/518400],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [14, 1]], 1/217728],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [18, 1]], 1/93312],
[[[1, 1], [2, 4], [3, 2], [5, 1], [6, 2], [10, 2]], 1/43200],
[[[1, 1], [2, 4], [3, 2], [5, 1], [6, 4], [10, 1]], 1/233280],
[[[1, 1], [2, 4], [3, 2], [6, 1], [10, 2], [14, 1]], 1/100800],
[[[1, 1], [2, 4], [3, 2], [6, 2], [14, 1], [18, 1]], 1/18144],
[[[1, 1], [2, 4], [3, 2], [6, 3], [10, 1], [14, 1]], 1/90720],
[[[1, 1], [2, 4], [3, 2], [6, 3], [10, 1], [18, 1]], 1/38880],
[[[1, 1], [2, 4], [3, 3], [6, 1], [14, 1], [18, 1]], 1/489888],
[[[1, 1], [2, 4], [3, 3], [6, 2], [10, 1], [14, 1]], 1/816480],
[[[1, 1], [2, 4], [3, 3], [6, 2], [10, 1], [18, 1]], 1/349920],
[[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [10, 2]], 1/9600],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/12000],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 2]], 5/14112],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [18, 2]], 1/2592],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [18, 2]], 1/3240],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 3], [12, 1]], 1/24000],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [18, 1]], 1/4050],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 1/207360],
[[[1, 1], [2, 4], [4, 1], [6, 3], [10, 2], [12, 1]], 1/86400],
[[[1, 1], [2, 4], [4, 1], [6, 3], [14, 1], [18, 1]], 1/3888],
[[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [14, 1]], 5/435456],
[[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 5/186624],
[[[1, 1], [2, 4], [4, 1], [6, 4], [10, 1], [14, 1]], 13/544320],
[[[1, 1], [2, 4], [4, 1], [6, 4], [10, 1], [18, 1]], 13/233280],
[[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/6720],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [18, 1]], 1/4608],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/268800],
[[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [18, 1]], 1/115200],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 2]], 1/115200],
[[[1, 1], [2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/48384],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [14, 1]], 1/48384],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [14, 1]], 1/2520],
[[[1, 1], [2, 4], [5, 1], [6, 1], [10, 2], [18, 1]], 1/2700],
[[[1, 1], [2, 4], [5, 1], [6, 2], [10, 2], [12, 1]], 1/7200],
[[[1, 1], [2, 4], [5, 1], [6, 3], [10, 1], [14, 1]], 37/544320],
[[[1, 1], [2, 4], [5, 1], [6, 3], [10, 1], [18, 1]], 1/11664],
[[[1, 1], [2, 4], [5, 1], [6, 4], [10, 1], [12, 1]], 1/38880],
[[[1, 1], [2, 4], [5, 1], [10, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 1], [2, 4], [6, 1], [7, 1], [14, 1], [18, 1]], 1/5292],
[[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 1], [2, 4], [6, 1], [9, 1], [14, 1], [18, 1]], 1/6804],
[[[1, 1], [2, 4], [6, 1], [10, 2], [12, 1], [14, 1]], 1/16800],
[[[1, 1], [2, 4], [6, 2], [7, 1], [10, 1], [14, 1]], 1/8820],
[[[1, 1], [2, 4], [6, 2], [7, 1], [10, 1], [18, 1]], 1/3780],
[[[1, 1], [2, 4], [6, 2], [8, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 1], [2, 4], [6, 2], [9, 1], [10, 1], [14, 1]], 1/11340],
[[[1, 1], [2, 4], [6, 2], [9, 1], [10, 1], [18, 1]], 1/4860],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/1134],
[[[1, 1], [2, 4], [6, 2], [12, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 4], [6, 3], [10, 1], [12, 1], [14, 1]], 1/15120],
[[[1, 1], [2, 4], [6, 3], [10, 1], [12, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/42336],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 1/388800],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 1/163296],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/69984],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 1/93312],
[[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/100800],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 1/691200],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/290304],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/124416],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [10, 2]], 13/648000],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 3], [14, 1]], 1/116640],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 3], [18, 1]], 1/116640],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 4], [10, 1]], 1/145800],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 11/302400],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [18, 1]], 1/129600],
[[[1, 1], [2, 6], [3, 1], [6, 2], [10, 2], [12, 1]], 1/32400],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3402],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 197/604800],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 341/777600],
[[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [14, 1]], 13/163296],
[[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [18, 1]], 1/23328],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 1], [12, 1]], 1/11664],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [10, 2]], 7/518400],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [14, 1]], 1/145152],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [18, 1]], 1/93312],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [8, 1]], 1/373248],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [10, 1]], 1/186624],
[[[1, 1], [2, 6], [3, 2], [5, 1], [6, 1], [10, 2]], 1/864000],
[[[1, 1], [2, 6], [3, 2], [5, 1], [6, 3], [10, 1]], 1/622080],
[[[1, 1], [2, 6], [3, 2], [6, 2], [10, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 6], [3, 2], [6, 2], [10, 1], [18, 1]], 1/77760],
[[[1, 1], [2, 6], [3, 3], [6, 1], [10, 1], [14, 1]], 11/16329600],
[[[1, 1], [2, 6], [3, 3], [6, 1], [10, 1], [18, 1]], 1/6998400],
[[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 7/64000],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 31/134400],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 107/518400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 19/138240],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 7/86400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 17/72576],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 37/435456],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 41/373248],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 157/1088640],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 13/58320],
[[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 1/24192],
[[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 17/622080],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [12, 1]], 1/62208],
[[[1, 1], [2, 6], [4, 1], [6, 4], [10, 1], [12, 1]], 1/31104],
[[[1, 1], [2, 6], [4, 1], [8, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 1], [18, 1]], 1/15120],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [10, 1]], 1/1244160],
[[[1, 1], [2, 6], [4, 2], [5, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 7/115200],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 1/48384],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 1/51840],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 1/41472],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 6], [4, 3], [5, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 1], [2, 6], [5, 1], [6, 1], [10, 2], [12, 1]], 1/144000],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [14, 1]], 13/453600],
[[[1, 1], [2, 6], [5, 1], [6, 2], [10, 1], [18, 1]], 1/64800],
[[[1, 1], [2, 6], [5, 1], [6, 3], [10, 1], [12, 1]], 1/103680],
[[[1, 1], [2, 6], [6, 1], [7, 1], [10, 1], [14, 1]], 11/176400],
[[[1, 1], [2, 6], [6, 1], [7, 1], [10, 1], [18, 1]], 1/75600],
[[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 1/12096],
[[[1, 1], [2, 6], [6, 1], [9, 1], [10, 1], [14, 1]], 11/226800],
[[[1, 1], [2, 6], [6, 1], [9, 1], [10, 1], [18, 1]], 1/97200],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1620],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 6], [6, 2], [10, 1], [12, 1], [14, 1]], 1/6048],
[[[1, 1], [2, 6], [6, 2], [10, 1], [12, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 13/1036800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 1/186624],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 1/186624],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/186624],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1/233280],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/5529600],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 5/2322432],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 1/995328],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/414720],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [10, 2]], 43/22680000],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 2], [14, 1]], 37/19051200],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 2], [18, 1]], 1/4082400],
[[[1, 1], [2, 8], [3, 1], [5, 1], [6, 3], [10, 1]], 17/5832000],
[[[1, 1], [2, 8], [3, 1], [5, 1], [7, 1], [10, 1]], 1/609638400],
[[[1, 1], [2, 8], [3, 1], [5, 1], [9, 1], [10, 1]], 1/261273600],
[[[1, 1], [2, 8], [3, 1], [5, 1], [10, 1], [14, 1]], 1/756000],
[[[1, 1], [2, 8], [3, 1], [6, 1], [10, 2], [12, 1]], 43/18144000],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 1], [18, 1]], 1/108864],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 127/1209600],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/24300],
[[[1, 1], [2, 8], [3, 1], [6, 2], [12, 1], [14, 1]], 71/7620480],
[[[1, 1], [2, 8], [3, 1], [6, 2], [12, 1], [18, 1]], 1/3265920],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 1], [12, 1]], 1/58320],
[[[1, 1], [2, 8], [3, 1], [10, 1], [12, 1], [14, 1]], 1/604800],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [10, 2]], 13/20736000],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [14, 1]], 1/414720],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [18, 1]], 1/3732480],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [8, 1]], 1/995328],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [10, 1]], 13/3110400],
[[[1, 1], [2, 8], [3, 2], [5, 1], [6, 2], [10, 1]], 1/21772800],
[[[1, 1], [2, 8], [3, 2], [6, 1], [10, 1], [14, 1]], 13/3628800],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 1457/24192000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 13/3456000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1/34560],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 379/10160640],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 1/68040],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 361/3628800],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 13/172800],
[[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 1/69120],
[[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [18, 1]], 1/622080],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 109/2488320],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [12, 1]], 1/165888],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 13/518400],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [18, 1]], 1/172800],
[[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [10, 1]], 1/3317760],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 1/92160],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 1/829440],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 83/9676800],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 13/4147200],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 13/691200],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [14, 1]], 25/24385536],
[[[1, 1], [2, 8], [5, 1], [6, 1], [10, 1], [18, 1]], 97/261273600],
[[[1, 1], [2, 8], [5, 1], [6, 2], [10, 1], [12, 1]], 1/3628800],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 11/403200],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/172800],
[[[1, 1], [2, 8], [6, 1], [10, 1], [12, 1], [14, 1]], 13/604800],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 43/36288000],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 37/30481920],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 1/6531840],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 43/69672960],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 17/9331200],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/1209600],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/4644864],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 7/16588800],
[[[1, 1], [2, 10], [3, 1], [5, 1], [6, 1], [14, 1]], 121/2286144000],
[[[1, 1], [2, 10], [3, 1], [5, 1], [6, 1], [18, 1]], 1/979776000],
[[[1, 1], [2, 10], [3, 1], [5, 1], [6, 2], [10, 1]], 11/54432000],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/172800],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [18, 1]], 1/1555200],
[[[1, 1], [2, 10], [3, 1], [6, 1], [12, 1], [14, 1]], 121/1828915200],
[[[1, 1], [2, 10], [3, 1], [6, 1], [12, 1], [18, 1]], 1/783820800],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 1], [12, 1]], 1/1360800],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 1], [14, 1]], 1/17418240],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [8, 1]], 1/34836480],
[[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [10, 1]], 23/87091200],
[[[1, 1], [2, 10], [3, 2], [5, 1], [6, 1], [10, 1]], 1/5225472000],
[[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/331776000],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 9217/4877107200],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 577/2090188800],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 14821/1219276800],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 1693/522547200],
[[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 1/2903040],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 83/11612160],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [12, 1]], 1/5806080],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 23/14515200],
[[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [10, 1]], 1/116121600],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 23/19353600],
[[[1, 1], [2, 10], [5, 1], [6, 1], [10, 1], [12, 1]], 1/870912000],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 121/3657830400],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 1/1567641600],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 31/2090188800],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 11/87091200],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/66355200],
[[[1, 1], [2, 12], [3, 1], [5, 1], [6, 1], [10, 1]], 13/3265920000],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 1], [12, 1]], 13/2612736000],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [8, 1]], 1/8360755200],
[[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [10, 1]], 43/10450944000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 217/995328000],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1393459200],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 43/1741824000],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/16721510400],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 13/5225472000],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [10, 3]], 1/72000],
[[[1, 2], [2, 1], [3, 1], [5, 1], [7, 2], [10, 1]], 1/2940],
[[[1, 2], [2, 1], [3, 1], [5, 1], [9, 2], [10, 1]], 1/1620],
[[[1, 2], [2, 1], [3, 1], [5, 1], [10, 3], [12, 1]], 1/12000],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 3], [7, 1]], 1/1360800],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 3], [9, 1]], 1/583200],
[[[1, 2], [2, 1], [3, 1], [5, 2], [7, 1], [14, 1]], 1/14700],
[[[1, 2], [2, 1], [3, 1], [5, 2], [7, 1], [18, 1]], 1/18900],
[[[1, 2], [2, 1], [3, 1], [5, 2], [9, 1], [14, 1]], 1/6300],
[[[1, 2], [2, 1], [3, 1], [5, 2], [9, 1], [18, 1]], 1/8100],
[[[1, 2], [2, 1], [3, 1], [5, 3], [6, 2], [10, 1]], 1/72000],
[[[1, 2], [2, 1], [3, 1], [5, 3], [10, 1], [12, 1]], 1/12000],
[[[1, 2], [2, 1], [3, 2], [4, 1], [7, 2], [8, 1]], 1/28224],
[[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [9, 2]], 1/5184],
[[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 1], [3, 2], [5, 2], [7, 1], [10, 1]], 1/6300],
[[[1, 2], [2, 1], [3, 2], [5, 2], [9, 1], [10, 1]], 1/2700],
[[[1, 2], [2, 1], [3, 2], [6, 1], [7, 2], [10, 1]], 1/26460],
[[[1, 2], [2, 1], [3, 2], [6, 1], [7, 2], [12, 1]], 1/21168],
[[[1, 2], [2, 1], [3, 2], [6, 1], [9, 2], [10, 1]], 1/4860],
[[[1, 2], [2, 1], [3, 2], [6, 1], [9, 2], [12, 1]], 1/3888],
[[[1, 2], [2, 1], [3, 2], [6, 3], [7, 1], [9, 1]], 1/244944],
[[[1, 2], [2, 1], [3, 2], [7, 1], [9, 1], [14, 1]], 1/2646],
[[[1, 2], [2, 1], [3, 2], [7, 1], [9, 1], [18, 1]], 1/3402],
[[[1, 2], [2, 1], [3, 3], [5, 2], [6, 1], [7, 1]], 1/151200],
[[[1, 2], [2, 1], [3, 3], [5, 2], [6, 1], [9, 1]], 1/64800],
[[[1, 2], [2, 1], [3, 4], [5, 1], [7, 1], [10, 1]], 1/272160],
[[[1, 2], [2, 1], [3, 4], [5, 1], [9, 1], [10, 1]], 1/116640],
[[[1, 2], [2, 1], [3, 4], [6, 1], [7, 1], [9, 1]], 1/27216],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 2], [2, 1], [4, 1], [5, 3], [8, 1], [10, 1]], 1/16000],
[[[1, 2], [2, 1], [5, 2], [6, 1], [10, 2], [12, 1]], 1/4800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 3]], 3/40000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 4]], 1/1555200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [10, 2]], 1/9600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 3], [10, 1]], 1/24000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 3]], 1/28800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 2]], 1/6048],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 1/2592],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [10, 2]], 1/388800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [14, 1]], 1/163296],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [18, 1]], 1/69984],
[[[1, 2], [2, 3], [3, 1], [4, 1], [10, 3], [12, 1]], 1/24000],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [7, 1]], 1/806400],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [9, 1]], 1/345600],
[[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 2]], 1/10752],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 3]], 1/7500],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [14, 2]], 1/8820],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [10, 2]], 1/4800],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 5], [10, 1]], 1/116640],
[[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [10, 2]], 1/4200],
[[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [10, 2]], 1/1800],
[[[1, 2], [2, 3], [3, 1], [5, 1], [10, 2], [14, 1]], 1/21000],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 2]], 1/2000],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [7, 1]], 1/226800],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [9, 1]], 1/97200],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 3], [10, 1]], 1/43200],
[[[1, 2], [2, 3], [3, 1], [5, 2], [7, 1], [10, 1]], 1/63000],
[[[1, 2], [2, 3], [3, 1], [5, 2], [9, 1], [10, 1]], 1/27000],
[[[1, 2], [2, 3], [3, 1], [5, 2], [10, 1], [14, 1]], 1/3150],
[[[1, 2], [2, 3], [3, 1], [5, 2], [10, 1], [18, 1]], 1/5400],
[[[1, 2], [2, 3], [3, 1], [5, 3], [6, 1], [10, 1]], 1/9000],
[[[1, 2], [2, 3], [3, 1], [6, 1], [10, 3], [12, 1]], 1/36000],
[[[1, 2], [2, 3], [3, 1], [6, 1], [12, 1], [14, 2]], 1/7056],
[[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [10, 2]], 1/12600],
[[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [10, 2]], 1/16200],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [14, 1]], 19/302400],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [18, 1]], 1/8100],
[[[1, 2], [2, 3], [3, 1], [6, 3], [7, 1], [14, 1]], 1/5292],
[[[1, 2], [2, 3], [3, 1], [6, 3], [7, 1], [18, 1]], 1/2268],
[[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [14, 1]], 1/6804],
[[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 1/2916],
[[[1, 2], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 19/54432],
[[[1, 2], [2, 3], [3, 1], [6, 4], [10, 1], [14, 1]], 1/90720],
[[[1, 2], [2, 3], [3, 1], [6, 4], [10, 1], [18, 1]], 1/38880],
[[[1, 2], [2, 3], [3, 1], [10, 2], [12, 1], [14, 1]], 1/16800],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [7, 1]], 1/653184],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [9, 1]], 1/279936],
[[[1, 2], [2, 3], [3, 2], [4, 2], [7, 1], [9, 1]], 1/145152],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [10, 2]], 53/216000],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [14, 1]], 1/11340],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [18, 1]], 1/4860],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 4], [10, 1]], 1/233280],
[[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [14, 1]], 1/75600],
[[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [18, 1]], 1/32400],
[[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [9, 1]], 1/40824],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 2], [12, 1]], 1/21600],
[[[1, 2], [2, 3], [3, 2], [6, 2], [14, 1], [18, 1]], 1/13608],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [14, 1]], 1/9072],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [18, 1]], 1/3888],
[[[1, 2], [2, 3], [3, 2], [7, 1], [9, 1], [10, 1]], 1/11340],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [6, 2]], 1/172800],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [10, 2]], 7/1166400],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [14, 1]], 1/69984],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [18, 1]], 7/209952],
[[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [10, 2]], 1/1036800],
[[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [10, 2]], 1/388800],
[[[1, 2], [2, 3], [3, 3], [5, 1], [6, 3], [10, 1]], 41/1049760],
[[[1, 2], [2, 3], [3, 3], [5, 1], [10, 1], [14, 1]], 1/544320],
[[[1, 2], [2, 3], [3, 3], [5, 2], [6, 1], [10, 1]], 1/43200],
[[[1, 2], [2, 3], [3, 3], [6, 1], [14, 1], [18, 1]], 1/163296],
[[[1, 2], [2, 3], [3, 3], [6, 2], [10, 1], [14, 1]], 1/816480],
[[[1, 2], [2, 3], [3, 3], [6, 2], [10, 1], [18, 1]], 1/349920],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [7, 1]], 1/72576],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [9, 1]], 1/31104],
[[[1, 2], [2, 3], [3, 4], [5, 1], [6, 2], [10, 1]], 1/25920],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 3]], 1/4800],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 2]], 13/259200],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 5], [10, 1]], 1/933120],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [14, 1]], 1/2800],
[[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [18, 1]], 1/3600],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 2]], 13/48000],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 3], [8, 1]], 1/1036800],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 3], [10, 1]], 1/259200],
[[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [14, 1]], 1/11200],
[[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [18, 1]], 1/14400],
[[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [14, 1]], 1/2800],
[[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [18, 1]], 1/3600],
[[[1, 2], [2, 3], [4, 1], [5, 3], [6, 1], [10, 1]], 1/24000],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 1/16000],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 2]], 1/3136],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [18, 2]], 1/2592],
[[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [10, 2]], 1/50400],
[[[1, 2], [2, 3], [4, 1], [6, 2], [9, 1], [10, 2]], 1/64800],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [14, 1]], 1/50400],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [18, 1]], 1/21600],
[[[1, 2], [2, 3], [4, 1], [6, 3], [7, 1], [14, 1]], 1/21168],
[[[1, 2], [2, 3], [4, 1], [6, 3], [7, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [10, 2]], 1/1036800],
[[[1, 2], [2, 3], [4, 1], [6, 3], [9, 1], [14, 1]], 1/27216],
[[[1, 2], [2, 3], [4, 1], [6, 3], [9, 1], [18, 1]], 1/11664],
[[[1, 2], [2, 3], [4, 1], [6, 3], [14, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [14, 1]], 1/435456],
[[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [18, 1]], 1/186624],
[[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [10, 2]], 1/11200],
[[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 3/22400],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 3/5120],
[[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [10, 1]], 1/6400],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/5376],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/268800],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 1/115200],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/115200],
[[[1, 2], [2, 3], [4, 2], [6, 2], [14, 1], [18, 1]], 1/48384],
[[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [14, 1]], 1/48384],
[[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [5, 1], [6, 1], [7, 1], [10, 2]], 1/2100],
[[[1, 2], [2, 3], [5, 1], [6, 1], [9, 1], [10, 2]], 1/5400],
[[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [14, 1]], 2/2625],
[[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [18, 1]], 23/27000],
[[[1, 2], [2, 3], [5, 1], [6, 2], [10, 2], [12, 1]], 1/7200],
[[[1, 2], [2, 3], [5, 1], [6, 2], [14, 1], [18, 1]], 1/3780],
[[[1, 2], [2, 3], [5, 1], [6, 3], [7, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 3], [5, 1], [6, 3], [9, 1], [10, 1]], 1/29160],
[[[1, 2], [2, 3], [5, 1], [6, 3], [10, 1], [14, 1]], 13/181440],
[[[1, 2], [2, 3], [5, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 2], [2, 3], [5, 1], [7, 1], [10, 1], [14, 1]], 1/1470],
[[[1, 2], [2, 3], [5, 1], [7, 1], [10, 1], [18, 1]], 1/2520],
[[[1, 2], [2, 3], [5, 1], [9, 1], [10, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 3], [5, 1], [10, 1], [14, 1], [18, 1]], 1/2520],
[[[1, 2], [2, 3], [6, 1], [7, 1], [14, 1], [18, 1]], 1/1764],
[[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 2], [2, 3], [6, 1], [9, 1], [14, 1], [18, 1]], 1/2268],
[[[1, 2], [2, 3], [6, 2], [7, 1], [10, 1], [14, 1]], 1/8820],
[[[1, 2], [2, 3], [6, 2], [7, 1], [10, 1], [18, 1]], 1/3780],
[[[1, 2], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 3], [6, 2], [9, 1], [10, 1], [14, 1]], 1/11340],
[[[1, 2], [2, 3], [6, 2], [9, 1], [10, 1], [18, 1]], 1/4860],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 5]], 1/349920],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 3]], 1/259200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 7/72000],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/6048],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 307/1555200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 41/217728],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 89/279936],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 1/62208],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [10, 1]], 1/23328],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 13/279936],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [10, 1]], 1/230400],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 7/691200],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 7/124416],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 17/497664],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 2], [6, 1]], 1/921600],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 1/921600],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/387072],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048],
[[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [9, 1]], 1/110592],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 361/864000],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [14, 1]], 1/27216],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [18, 1]], 1/19440],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 659/9331200],
[[[1, 2], [2, 5], [3, 1], [5, 1], [10, 2], [12, 1]], 1/144000],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [7, 1]], 1/4536000],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [9, 1]], 1/1944000],
[[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [10, 2]], 1/100800],
[[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [10, 2]], 1/129600],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 17/100800],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [18, 1]], 7/129600],
[[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [14, 1]], 5/42336],
[[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [18, 1]], 1/18144],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [14, 1]], 5/54432],
[[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [18, 1]], 1/23328],
[[[1, 2], [2, 5], [3, 1], [6, 2], [10, 2], [12, 1]], 1/10800],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 23/18144],
[[[1, 2], [2, 5], [3, 1], [6, 3], [7, 1], [10, 1]], 1/7560],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 5], [3, 1], [6, 3], [9, 1], [10, 1]], 1/9720],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 121/181440],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 77/77760],
[[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [14, 1]], 1/3402],
[[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [18, 1]], 1/3888],
[[[1, 2], [2, 5], [3, 1], [6, 4], [10, 1], [12, 1]], 1/11664],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/43200],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 7/172800],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [7, 1]], 1/108864],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 1/46656],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 11/145152],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 5/31104],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 19/373248],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/36864],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 1/92160],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 13/193536],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 5/82944],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 7/207360],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [10, 1]], 1/552960],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [7, 1]], 1/387072],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [9, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 1/36864],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 47/432000],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [14, 1]], 1/18144],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [18, 1]], 1/38880],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 151/1555200],
[[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [9, 1]], 1/816480],
[[[1, 2], [2, 5], [3, 2], [6, 1], [10, 2], [12, 1]], 1/172800],
[[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/27216],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 17/362880],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 11/155520],
[[[1, 2], [2, 5], [3, 2], [6, 2], [12, 1], [14, 1]], 5/72576],
[[[1, 2], [2, 5], [3, 2], [6, 2], [12, 1], [18, 1]], 1/31104],
[[[1, 2], [2, 5], [3, 2], [6, 3], [10, 1], [12, 1]], 1/12960],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [10, 2]], 7/4665600],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [14, 1]], 5/653184],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [18, 1]], 1/839808],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [8, 1]], 41/1679616],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [10, 1]], 31/1049760],
[[[1, 2], [2, 5], [3, 3], [4, 1], [8, 1], [14, 1]], 1/870912],
[[[1, 2], [2, 5], [3, 3], [4, 1], [10, 1], [14, 1]], 1/1088640],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [8, 1]], 1/55296],
[[[1, 2], [2, 5], [3, 3], [5, 1], [6, 2], [10, 1]], 109/5598720],
[[[1, 2], [2, 5], [3, 3], [6, 1], [10, 1], [14, 1]], 1/326592],
[[[1, 2], [2, 5], [3, 3], [6, 1], [10, 1], [18, 1]], 1/699840],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 7/43200],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 19/933120],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 37/64000],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [8, 1]], 1/172800],
[[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [10, 1]], 1/48000],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [10, 2]], 1/7200],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [10, 2]], 7/64800],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 191/403200],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 79/172800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/14112],
[[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 163/691200],
[[[1, 2], [2, 5], [4, 1], [6, 2], [9, 1], [14, 1]], 1/18144],
[[[1, 2], [2, 5], [4, 1], [6, 2], [9, 1], [18, 1]], 1/11664],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 1/9600],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 59/72576],
[[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [8, 1]], 1/36288],
[[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [10, 1]], 1/18144],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [9, 1]], 1/46656],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 19/124416],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 101/373248],
[[[1, 2], [2, 5], [4, 1], [6, 3], [9, 1], [10, 1]], 1/23328],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 97/362880],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 19/38880],
[[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 7/311040],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [12, 1]], 1/62208],
[[[1, 2], [2, 5], [4, 1], [6, 4], [10, 1], [12, 1]], 1/51840],
[[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 1/9408],
[[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 1/11760],
[[[1, 2], [2, 5], [4, 1], [8, 1], [9, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 5], [4, 1], [9, 1], [10, 1], [14, 1]], 1/15120],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 1], [18, 1]], 1/5040],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [10, 1]], 1/107520],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 31/115200],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/3072],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 5/24192],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 11/80640],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 5/20736],
[[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 29/414720],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 1/552960],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 11/122880],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 5/129024],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 5/55296],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 1/46080],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 5], [5, 1], [6, 1], [10, 2], [12, 1]], 1/14400],
[[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 2], [2, 5], [5, 1], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 5], [5, 1], [6, 2], [9, 1], [10, 1]], 1/77760],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [14, 1]], 79/302400],
[[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 13/43200],
[[[1, 2], [2, 5], [5, 1], [6, 3], [8, 1], [10, 1]], 1/51840],
[[[1, 2], [2, 5], [5, 1], [6, 3], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 5], [5, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3528],
[[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [18, 1]], 1/7560],
[[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 5], [6, 1], [9, 1], [10, 1], [14, 1]], 1/4536],
[[[1, 2], [2, 5], [6, 1], [9, 1], [10, 1], [18, 1]], 1/9720],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1260],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 5], [6, 2], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [6, 2], [10, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 11/2799360],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 7/1080000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 2]], 1/5184000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 331/1382400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1051/5225472],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 157/746496],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 19/248832],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 761/4665600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 101/2239488],
[[[1, 2], [2, 7], [3, 1], [4, 1], [10, 2], [12, 1]], 13/3456000],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 233/5529600],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/28672],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 41/995328],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 25/497664],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/38880],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/774144],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/221184],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/184320],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 1/294912],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 83/1080000],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [14, 1]], 17/907200],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [18, 1]], 1/194400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 3167/65318400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [7, 1], [10, 1]], 1/9676800],
[[[1, 2], [2, 7], [3, 1], [5, 1], [9, 1], [10, 1]], 1/4147200],
[[[1, 2], [2, 7], [3, 1], [5, 1], [10, 1], [14, 1]], 13/756000],
[[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 1/1008000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/84672],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 2], [2, 7], [3, 1], [6, 1], [9, 1], [14, 1]], 1/108864],
[[[1, 2], [2, 7], [3, 1], [6, 1], [10, 2], [12, 1]], 23/864000],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 5/54432],
[[[1, 2], [2, 7], [3, 1], [6, 2], [7, 1], [10, 1]], 1/43200],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 5/96768],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 1], [6, 2], [9, 1], [10, 1]], 7/388800],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 2509/3628800],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 149/388800],
[[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [14, 1]], 31/362880],
[[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [18, 1]], 1/155520],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 1], [12, 1]], 31/233280],
[[[1, 2], [2, 7], [3, 1], [10, 1], [12, 1], [14, 1]], 13/604800],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 13/1382400],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2177280],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 1/933120],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 29/580608],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 5/248832],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 19/995328],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 1/387072],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 1/165888],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 19/829440],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [14, 1]], 1/181440],
[[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 203/15552000],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 89/3628800],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 1/388800],
[[[1, 2], [2, 7], [3, 2], [6, 1], [12, 1], [14, 1]], 1/145152],
[[[1, 2], [2, 7], [3, 2], [6, 2], [10, 1], [12, 1]], 7/518400],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [14, 1]], 1/3732480],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [18, 1]], 1/33592320],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [8, 1]], 7/2239488],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [10, 1]], 47/13996800],
[[[1, 2], [2, 7], [3, 3], [4, 1], [8, 1], [10, 1]], 1/12441600],
[[[1, 2], [2, 7], [3, 3], [5, 1], [6, 1], [10, 1]], 1/195955200],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 13/345600],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 493/37324800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/115200],
[[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [18, 1]], 1/518400],
[[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [8, 1]], 1/3456000],
[[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 1/864000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [18, 1]], 1/362880],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 149/432000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 2], [2, 7], [4, 1], [6, 1], [9, 1], [14, 1]], 1/51840],
[[[1, 2], [2, 7], [4, 1], [6, 1], [9, 1], [18, 1]], 1/466560],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 1/25600],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 17/72576],
[[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [8, 1]], 1/96768],
[[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [10, 1]], 13/302400],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [9, 1]], 1/124416],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 47/207360],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 11/69120],
[[[1, 2], [2, 7], [4, 1], [6, 2], [9, 1], [10, 1]], 13/388800],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 331/604800],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 121/259200],
[[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 2231/12441600],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [12, 1]], 7/165888],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 1/8640],
[[[1, 2], [2, 7], [4, 1], [7, 1], [8, 1], [10, 1]], 1/134400],
[[[1, 2], [2, 7], [4, 1], [8, 1], [9, 1], [10, 1]], 1/172800],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 7/19200],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [18, 1]], 11/172800],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 11/1105920],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 13/71680],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 71/829440],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 67/403200],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 127/1036800],
[[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 143/691200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 7/138240],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 1/552960],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 19/368640],
[[[1, 2], [2, 7], [5, 1], [6, 1], [7, 1], [10, 1]], 1/470400],
[[[1, 2], [2, 7], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2721600],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 3077/48384000],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 119/6912000],
[[[1, 2], [2, 7], [5, 1], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 2], [2, 7], [5, 1], [6, 2], [10, 1], [12, 1]], 1/172800],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 61/403200],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 11/172800],
[[[1, 2], [2, 7], [6, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 23/19595520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [14, 1]], 1/3628800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 2], [6, 1]], 1/3483648000],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 93421/3483648000],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 10183/209018880],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 1769/125411328],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 463/23224320],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 21793/261273600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 251/39191040],
[[[1, 2], [2, 9], [3, 1], [4, 1], [7, 1], [8, 1]], 1/975421440],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 1/418037760],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 1/86400],
[[[1, 2], [2, 9], [3, 1], [4, 1], [12, 1], [14, 1]], 1/2903040],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 19/1935360],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 1/1244160],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 17/2322432],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 71/4147200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/460800],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/1769472],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/1843200],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [14, 1]], 13/10160640],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [18, 1]], 1/21772800],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 24491/5225472000],
[[[1, 2], [2, 9], [3, 1], [5, 1], [10, 1], [12, 1]], 1/870912000],
[[[1, 2], [2, 9], [3, 1], [6, 1], [7, 1], [10, 1]], 1/1209600],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 2], [2, 9], [3, 1], [6, 1], [9, 1], [10, 1]], 1/1555200],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 97/1209600],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 17/1555200],
[[[1, 2], [2, 9], [3, 1], [6, 1], [12, 1], [14, 1]], 13/8128512],
[[[1, 2], [2, 9], [3, 1], [6, 1], [12, 1], [18, 1]], 1/17418240],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 7/691200],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 1], [12, 1]], 67/5443200],
[[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2090188800],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [7, 1]], 1/1463132160],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [9, 1]], 1/627056640],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 13/2903040],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 193/139345920],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 11/1036800],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1/6635520],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 1/3317760],
[[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 2071/5225472000],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 1], [12, 1]], 1/2073600],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [8, 1]], 1/313528320],
[[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [10, 1]], 23/783820800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 2557/2090188800],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 139/774144000],
[[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [8, 1]], 1/3386880],
[[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [10, 1]], 23/8467200],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [9, 1]], 1/4354560],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 16427/487710720],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 295/41803776],
[[[1, 2], [2, 9], [4, 1], [6, 1], [9, 1], [10, 1]], 23/10886400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 2749/19353600],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 421/8294400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 2393/29030400],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [12, 1]], 11/2903040],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 1/43200],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 11/19353600],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 407/9676800],
[[[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]], 1/552960],
[[[1, 2], [2, 9], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4838400],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 1], [12, 1]], 1/19353600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 451/7838208000],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 1/1741824000],
[[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 59/2903040000],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 1321/696729600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 257/1567641600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 421/557383680],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 8129/1045094400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 271/1567641600],
[[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [12, 1]], 1/1393459200],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 1], [12, 1]], 43/1741824000],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 907/5573836800],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 167/154828800],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 487/3732480000],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 1], [12, 1]], 209/1306368000],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 23/4180377600],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 241/696729600],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 11/418037760],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 35263/6967296000],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [12, 1]], 23/696729600],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 73/116121600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 1/1119744000],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 47/11147673600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 3889/20901888000],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 1/895795200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 2]], 13/48000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [8, 1]], 1/16000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 2], [8, 1]], 1/3136],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 2]], 1/2592],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [7, 1]], 1/268800],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 1/115200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/5376],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 3]], 1/9000],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [10, 2]], 1/43200],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 2]], 1/2000],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [7, 1]], 1/75600],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [9, 1]], 1/32400],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 3], [10, 1]], 1/388800],
[[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [8, 1]], 1/33600],
[[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [10, 1]], 2/2625],
[[[1, 3], [2, 2], [3, 1], [5, 2], [8, 1], [9, 1]], 1/14400],
[[[1, 3], [2, 2], [3, 1], [5, 2], [9, 1], [10, 1]], 23/27000],
[[[1, 3], [2, 2], [3, 1], [5, 2], [10, 1], [14, 1]], 1/2100],
[[[1, 3], [2, 2], [3, 1], [5, 2], [10, 1], [18, 1]], 1/5400],
[[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [10, 1]], 1/7500],
[[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [12, 1]], 1/36000],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 2], [10, 1]], 1/8820],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 2], [12, 1]], 1/7056],
[[[1, 3], [2, 2], [3, 1], [6, 3], [7, 1], [9, 1]], 1/163296],
[[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [14, 1]], 1/1764],
[[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [18, 1]], 1/2268],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 3]], 7/1166400],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [7, 1]], 1/50400],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [9, 1]], 1/21600],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [14, 1]], 1/50400],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [18, 1]], 1/64800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 3], [6, 1]], 1/28800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 2]], 1/6048],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 1/2592],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [10, 2]], 1/172800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [14, 1]], 1/72576],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [18, 1]], 1/31104],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/115200],
[[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [9, 1]], 1/48384],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 3], [7, 1]], 1/816480],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 3], [9, 1]], 1/349920],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [14, 1]], 1/8820],
[[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [18, 1]], 1/11340],
[[[1, 3], [2, 2], [3, 2], [5, 1], [9, 1], [14, 1]], 1/3780],
[[[1, 3], [2, 2], [3, 2], [5, 1], [9, 1], [18, 1]], 1/4860],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [7, 1]], 19/302400],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [9, 1]], 1/8100],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [14, 1]], 1/12600],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [18, 1]], 1/16200],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 2], [10, 1]], 53/216000],
[[[1, 3], [2, 2], [3, 2], [5, 2], [6, 2], [12, 1]], 1/21600],
[[[1, 3], [2, 2], [3, 2], [5, 2], [10, 1], [12, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [14, 1]], 1/226800],
[[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [18, 1]], 1/97200],
[[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [9, 1]], 1/13608],
[[[1, 3], [2, 2], [3, 2], [6, 2], [14, 1], [18, 1]], 1/40824],
[[[1, 3], [2, 2], [3, 2], [7, 1], [8, 1], [9, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 2], [7, 1], [9, 1], [10, 1]], 1/3780],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [10, 2]], 1/259200],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [8, 1]], 1/1036800],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [10, 1]], 13/259200],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [7, 1]], 1/69984],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [9, 1]], 7/209952],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [9, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [14, 1]], 1/21168],
[[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [18, 1]], 1/27216],
[[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [10, 2]], 1/1036800],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [14, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [18, 1]], 1/11664],
[[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [10, 2]], 1/43200],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 3], [10, 1]], 41/1049760],
[[[1, 3], [2, 2], [3, 3], [5, 1], [7, 1], [10, 1]], 13/181440],
[[[1, 3], [2, 2], [3, 3], [5, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 3], [2, 2], [3, 3], [5, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 2], [3, 3], [5, 1], [10, 1], [18, 1]], 1/29160],
[[[1, 3], [2, 2], [3, 3], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 19/54432],
[[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [14, 1]], 1/5292],
[[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [18, 1]], 1/6804],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [14, 1]], 1/2268],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 1/2916],
[[[1, 3], [2, 2], [3, 3], [6, 2], [7, 1], [10, 1]], 1/11340],
[[[1, 3], [2, 2], [3, 3], [6, 2], [7, 1], [12, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [10, 1]], 1/4860],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 1/3888],
[[[1, 3], [2, 2], [3, 4], [4, 1], [5, 2], [6, 1]], 1/388800],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [10, 2]], 1/1555200],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [14, 1]], 1/653184],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [18, 1]], 1/279936],
[[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [8, 1]], 1/435456],
[[[1, 3], [2, 2], [3, 4], [4, 1], [8, 1], [9, 1]], 1/186624],
[[[1, 3], [2, 2], [3, 4], [5, 1], [6, 1], [7, 1]], 1/90720],
[[[1, 3], [2, 2], [3, 4], [5, 1], [6, 1], [9, 1]], 1/38880],
[[[1, 3], [2, 2], [3, 4], [5, 1], [6, 2], [10, 1]], 1/233280],
[[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [10, 1]], 1/933120],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [7, 1]], 1/163296],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [9, 1]], 1/69984],
[[[1, 3], [2, 2], [3, 5], [5, 1], [6, 1], [10, 1]], 1/116640],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [10, 2]], 1/2800],
[[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [10, 2]], 1/3600],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 3], [8, 1]], 1/1036800],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 3/22400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [10, 1]], 1/2800],
[[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [9, 1]], 1/14400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [14, 1]], 1/11200],
[[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [18, 1]], 1/14400],
[[[1, 3], [2, 2], [4, 1], [5, 2], [9, 1], [10, 1]], 1/3600],
[[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [10, 1]], 3/40000],
[[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [12, 1]], 1/24000],
[[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [10, 2]], 1/11200],
[[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 3/5120],
[[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 1/6400],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 1/4608],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 2], [14, 1]], 1/806400],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 2], [18, 1]], 1/345600],
[[[1, 3], [2, 2], [4, 2], [6, 2], [14, 1], [18, 1]], 1/145152],
[[[1, 3], [2, 2], [5, 1], [6, 1], [7, 1], [10, 2]], 1/3150],
[[[1, 3], [2, 2], [5, 1], [6, 1], [9, 1], [10, 2]], 1/5400],
[[[1, 3], [2, 2], [5, 1], [6, 1], [10, 2], [14, 1]], 1/63000],
[[[1, 3], [2, 2], [5, 1], [6, 1], [10, 2], [18, 1]], 1/27000],
[[[1, 3], [2, 2], [5, 1], [6, 2], [14, 1], [18, 1]], 1/11340],
[[[1, 3], [2, 2], [5, 1], [6, 3], [7, 1], [10, 1]], 1/544320],
[[[1, 3], [2, 2], [5, 1], [7, 1], [9, 1], [10, 1]], 1/2520],
[[[1, 3], [2, 2], [5, 1], [7, 1], [10, 1], [14, 1]], 1/1470],
[[[1, 3], [2, 2], [5, 1], [7, 1], [10, 1], [18, 1]], 1/7560],
[[[1, 3], [2, 2], [5, 1], [9, 1], [10, 1], [14, 1]], 1/2520],
[[[1, 3], [2, 2], [5, 2], [6, 1], [7, 1], [10, 1]], 1/21000],
[[[1, 3], [2, 2], [5, 2], [6, 1], [7, 1], [12, 1]], 1/16800],
[[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [14, 1]], 1/4200],
[[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [18, 1]], 1/1800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 1/86400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [7, 1]], 1/403200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [9, 1]], 1/172800],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/9000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/3528],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 59/518400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [7, 1]], 11/145152],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [9, 1]], 1/17496],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [14, 1]], 31/217728],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 29/93312],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [8, 1]], 1/186624],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [10, 1]], 1/233280],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 4]], 1/207360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 1/5120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 1/6400],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 1/57600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 1/38400],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/4096],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 149/1382400],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/1741824],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [9, 1]], 1/746496],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 65/580608],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 49/248832],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 7/165888],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 1/38880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 7/248832],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 1/96768],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 1/18816],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [18, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/322560],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [9, 1]], 1/138240],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 1/307200],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/4096],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/307200],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 1/129024],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 1/55296],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/55296],
[[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 5/129024],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 5/55296],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 439/432000],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [14, 1]], 13/90720],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 13/38880],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 119/933120],
[[[1, 3], [2, 4], [3, 1], [5, 1], [10, 2], [12, 1]], 1/14400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [7, 1]], 1/302400],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [9, 1]], 1/129600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [14, 1]], 1/33600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [18, 1]], 1/43200],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 79/648000],
[[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [12, 1]], 1/57600],
[[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [10, 2]], 1/16800],
[[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [10, 2]], 1/21600],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [18, 1]], 1/21600],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 1/27216],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 1/2352],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [14, 1]], 1/3024],
[[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 1/3888],
[[[1, 3], [2, 4], [3, 1], [6, 2], [10, 2], [12, 1]], 1/21600],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 13/18144],
[[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [10, 1]], 1/7560],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [6, 3], [9, 1], [10, 1]], 1/9720],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 53/362880],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 47/155520],
[[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [14, 1]], 1/18144],
[[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 1/7776],
[[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/7560],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 11/311040],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 37/777600],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/13500],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 19/259200],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 1/36288],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 1/15552],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 151/435456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 25/46656],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 7/93312],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [10, 1]], 11/103680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 13/93312],
[[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [9, 1]], 1/72576],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [7, 1]], 1/483840],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [9, 1]], 1/207360],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 29/1382400],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6144],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 1/51200],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 5/48384],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 1/21504],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 145/1492992],
[[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 1/129024],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 1/55296],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 1/36864],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 113/288000],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 1/136080],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 1/58320],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [14, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 2243/4665600],
[[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [10, 1]], 13/302400],
[[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [10, 1]], 13/129600],
[[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 4], [3, 2], [5, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 271/864000],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 1/54432],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 1/14112],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [18, 1]], 1/18144],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [14, 1]], 1/6048],
[[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [18, 1]], 1/7776],
[[[1, 3], [2, 4], [3, 2], [6, 1], [10, 2], [12, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 5/40824],
[[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 1/30240],
[[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [12, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [12, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 1/34020],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/14580],
[[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 2], [6, 3], [10, 1], [12, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 2]], 1/518400],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 25/186624],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 37/139968],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 41/217728],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 37/279936],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 41/1679616],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 61/699840],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [10, 1]], 1/90720],
[[[1, 3], [2, 4], [3, 3], [4, 1], [8, 1], [14, 1]], 1/217728],
[[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [10, 1]], 1/38880],
[[[1, 3], [2, 4], [3, 3], [4, 1], [10, 1], [14, 1]], 1/362880],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 77/2488320],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [7, 1]], 29/580608],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 29/248832],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 73/1741824],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [18, 1]], 25/746496],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 163/1492992],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 1/29160],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 5/82944],
[[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/414720],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 1037/2799360],
[[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [10, 1]], 1/22680],
[[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/9720],
[[[1, 3], [2, 4], [3, 3], [6, 1], [10, 1], [14, 1]], 1/362880],
[[[1, 3], [2, 4], [3, 3], [6, 1], [10, 1], [18, 1]], 1/466560],
[[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [6, 2]], 1/103680],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [14, 1]], 1/1306368],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [8, 1]], 5/186624],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [10, 1]], 1/311040],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [8, 1]], 1/124416],
[[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [10, 1]], 13/1866240],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 31/72000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 1/30240],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 11/311040],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 69/64000],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 3/5120],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 1/43200],
[[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 121/192000],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [10, 2]], 1/5600],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [10, 2]], 1/7200],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 19/403200],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 7/172800],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 1/4704],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 3/25600],
[[[1, 3], [2, 4], [4, 1], [6, 2], [9, 1], [14, 1]], 1/6048],
[[[1, 3], [2, 4], [4, 1], [6, 2], [9, 1], [18, 1]], 1/3888],
[[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 19/72576],
[[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [8, 1]], 1/32256],
[[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [10, 1]], 1/30240],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [9, 1]], 1/46656],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 11/145152],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 7/41472],
[[[1, 3], [2, 4], [4, 1], [6, 3], [9, 1], [10, 1]], 1/38880],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/30240],
[[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [4, 1], [6, 4], [8, 1], [10, 1]], 1/622080],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/3920],
[[[1, 3], [2, 4], [4, 1], [8, 1], [9, 1], [14, 1]], 1/3024],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 4], [4, 1], [9, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 3/12800],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 1/414720],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 7/207360],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 23/161280],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [5, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 11/96000],
[[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [12, 1]], 1/76800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/18816],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [18, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 3/12800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 7/15360],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 3], [2, 4], [4, 2], [6, 1], [9, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 4], [4, 2], [6, 1], [9, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 2], [12, 1]], 1/76800],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 29/145152],
[[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 5/10368],
[[[1, 3], [2, 4], [4, 2], [6, 2], [9, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 19/414720],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 2], [8, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/184320],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/14336],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 1/6144],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 1/46080],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 4], [5, 1], [6, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/2268],
[[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [10, 1]], 19/90720],
[[[1, 3], [2, 4], [5, 1], [6, 2], [9, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [14, 1]], 23/75600],
[[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 13/32400],
[[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [10, 1]], 1/51840],
[[[1, 3], [2, 4], [5, 1], [6, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 4], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 4], [5, 2], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3920],
[[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [18, 1]], 1/5040],
[[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 4], [6, 1], [9, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 4], [6, 1], [9, 1], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 7/466560],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/7200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 1/345600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 17/1728000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/9216],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 2759/4147200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 1/12096],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [9, 1]], 5/93312],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1319/1741824],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 623/746496],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 197/995328],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 47/116640],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 61/373248],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 1/25600],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/51840],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [14, 1]], 1/80640],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 11/24576],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 61/276480],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 1/290304],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 1/124416],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 37/129024],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 85/248832],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 85/248832],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 601/2488320],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 1/129024],
[[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 1/80640],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 6], [3, 1], [4, 2], [12, 1], [14, 1]], 1/64512],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 7/184320],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 1/258048],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/14336],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 5/36864],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/18432],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/36864],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 11/294912],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/368640],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 97/216000],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 1/7560],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 1/15552],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 2897/9331200],
[[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [10, 1]], 1/645120],
[[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 41/604800],
[[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 31/1296000],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 1/544320],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 1/9408],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 7/230400],
[[[1, 3], [2, 6], [3, 1], [6, 1], [9, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 6], [3, 1], [6, 1], [10, 2], [12, 1]], 11/172800],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 1/4032],
[[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [10, 1]], 11/60480],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 23/96768],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 7/41472],
[[[1, 3], [2, 6], [3, 1], [6, 2], [9, 1], [10, 1]], 11/77760],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 821/725760],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 1/1296],
[[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [14, 1]], 5/24192],
[[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 1/31104],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 1], [12, 1]], 7/38880],
[[[1, 3], [2, 6], [3, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/25920],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 1/15552000],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 241/4147200],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1/145152],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 1/62208],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 65/193536],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 157/746496],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 29/93312],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1931/4665600],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 11/124416],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 1/221184],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 5/774144],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 5/331776],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 307/995328],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 7/46080],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1/552960],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 1/2721600],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [9, 1]], 1/1166400],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 839/3110400],
[[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 1/60480],
[[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 779/10886400],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 31/1166400],
[[[1, 3], [2, 6], [3, 2], [6, 1], [12, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 6], [3, 2], [6, 2], [10, 1], [12, 1]], 11/103680],
[[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [10, 1]], 1/37324800],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [7, 1]], 1/6531840],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 1/2799360],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [14, 1]], 1/580608],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [18, 1]], 1/2239488],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 277/8957952],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 7/116640],
[[[1, 3], [2, 6], [3, 3], [4, 1], [8, 1], [10, 1]], 11/12441600],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 1/1492992],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 79/7464960],
[[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 7/27993600],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [8, 1]], 1/2985984],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [10, 1]], 1/3110400],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 19/48000],
[[[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]], 1/12960],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/51840],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 53/414720],
[[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 17/806400],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 6], [4, 1], [5, 1], [9, 1], [10, 1]], 1/518400],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 79/403200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 1/216000],
[[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/57600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 1/6272],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [18, 1]], 1/24192],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 13/23040],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 6], [4, 1], [6, 1], [9, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 6], [4, 1], [6, 1], [9, 1], [18, 1]], 1/31104],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 1/15360],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 19/36288],
[[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 1/10752],
[[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [9, 1]], 7/124416],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2304],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 17/41472],
[[[1, 3], [2, 6], [4, 1], [6, 2], [9, 1], [10, 1]], 1/6480],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 43/60480],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 1/1440],
[[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 509/2488320],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6400],
[[[1, 3], [2, 6], [4, 1], [8, 1], [9, 1], [10, 1]], 11/172800],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 11/13440],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 7/92160],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 259/921600],
[[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 29/43008],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 77/165888],
[[[1, 3], [2, 6], [4, 2], [6, 1], [9, 1], [10, 1]], 7/103680],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1199/2419200],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 53/129600],
[[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 37/69120],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 3/10240],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/12288],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/28350],
[[[1, 3], [2, 6], [5, 1], [6, 1], [9, 1], [10, 1]], 1/129600],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 15179/48384000],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 953/6912000],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 7/138240],
[[[1, 3], [2, 6], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 19/80640],
[[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 6], [6, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 53/4665600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/1219276800],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [9, 1]], 1/522547200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 1/201600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 1/55296000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1/73728],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 29999/165888000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 31/3386880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [9, 1]], 43/6531840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 311/860160],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 4559/29859840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 18497/104509440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 1567/3110400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 121/1866240],
[[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 1/15240960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1/6531840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 1/19200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [12, 1], [14, 1]], 1/161280],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 7/1382400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1382400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 1/460800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 1/5806080],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 1/2488320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 107/1105920],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 49/2488320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 6619/46448640],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 559/2764800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 1/92160],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 1/38400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 1/1105920],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 1/552960],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 319/8847360],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 229/5529600],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 1/57600],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [18, 1]], 1/1555200],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 32563/580608000],
[[[1, 3], [2, 8], [3, 1], [5, 1], [10, 1], [12, 1]], 1/19353600],
[[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [10, 1]], 1/75600],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 5/96768],
[[[1, 3], [2, 8], [3, 1], [6, 1], [9, 1], [10, 1]], 1/97200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 1261/3628800],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 91/1555200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [12, 1], [14, 1]], 11/967680],
[[[1, 3], [2, 8], [3, 1], [6, 1], [12, 1], [18, 1]], 1/1244160],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 31/345600],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 1], [12, 1]], 1/16200],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 31/7257600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 1/33177600],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 1/23224320],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 1/9953280],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 43/967680],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 1/1866240],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 803/19906560],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 389/3110400],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 43/8709120],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 29/2488320],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 23/1843200],
[[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 2903/435456000],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 1], [12, 1]], 1/129600],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 11/156764160],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 1/2332800],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1/57600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 1/518400],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 60479/1161216000],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 10663/1161216000],
[[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 17/2257920],
[[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 1/25200],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [9, 1]], 11/2177280],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 361/1935360],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 1/18432],
[[[1, 3], [2, 8], [4, 1], [6, 1], [9, 1], [10, 1]], 1/32400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 1433/2764800],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 1823/8294400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 1273/4147200],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1382400],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 463/38707200],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 221/691200],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 7/307200],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 11/2419200],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 227/174182400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 1/36864000],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1849/3483648000],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 283/1625702400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [9, 1]], 211/1567641600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 13159/487710720],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 89/26127360],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 67513/4180377600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 201133/2090188800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 131/34836480],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 23/696729600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 73/116121600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 13/66355200],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 11239/1857945600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 2767/139345920],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 17/69672960],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 5629/2612736000],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 17/2764800],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 1], [12, 1]], 103/58060800],
[[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 283/3483648000],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 233/1672151040],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 1927/348364800],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 211/2090188800],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4838400],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 4883/1741824000],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 6421/139345920],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2064384],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 11/326592000],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 2263/11147673600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 76231/20901888000],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 11/261273600],
[[[1, 3], [3, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/33600],
[[[1, 3], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/14400],
[[[1, 3], [3, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/6048],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 2]], 1/5880],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 2]], 1/3240],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [10, 2]], 1/9600],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [6, 2]], 1/144000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/12000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [12, 1]], 1/24000],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 2], [8, 1]], 5/14112],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [9, 2]], 1/2592],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/268800],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [9, 1]], 1/115200],
[[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/10752],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 1/4608],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [10, 2]], 1/3600],
[[[1, 4], [2, 1], [3, 1], [5, 2], [6, 2], [7, 1]], 1/100800],
[[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [8, 1]], 1/33600],
[[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [10, 1]], 1/2520],
[[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [12, 1]], 1/16800],
[[[1, 4], [2, 1], [3, 1], [5, 2], [8, 1], [9, 1]], 1/14400],
[[[1, 4], [2, 1], [3, 1], [5, 2], [9, 1], [10, 1]], 1/2700],
[[[1, 4], [2, 1], [3, 1], [5, 3], [6, 1], [10, 1]], 1/45000],
[[[1, 4], [2, 1], [3, 1], [5, 3], [6, 1], [12, 1]], 1/36000],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 2], [10, 1]], 1/26460],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 2], [12, 1]], 1/21168],
[[[1, 4], [2, 1], [3, 1], [6, 3], [7, 1], [9, 1]], 1/489888],
[[[1, 4], [2, 1], [3, 1], [7, 1], [9, 1], [14, 1]], 1/5292],
[[[1, 4], [2, 1], [3, 1], [7, 1], [9, 1], [18, 1]], 1/6804],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [9, 1]], 1/4050],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 2]], 1/42336],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/7776],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/115200],
[[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/48384],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 3], [7, 1]], 1/816480],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 3], [9, 1]], 1/349920],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/1134],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [14, 1]], 1/8820],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [18, 1]], 1/11340],
[[[1, 4], [2, 1], [3, 2], [5, 1], [9, 1], [14, 1]], 1/3780],
[[[1, 4], [2, 1], [3, 2], [5, 1], [9, 1], [18, 1]], 1/4860],
[[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [7, 1]], 41/302400],
[[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [9, 1]], 1/5400],
[[[1, 4], [2, 1], [3, 2], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 4], [2, 1], [3, 2], [5, 2], [10, 1], [12, 1]], 1/7200],
[[[1, 4], [2, 1], [3, 2], [6, 2], [7, 1], [9, 1]], 1/18144],
[[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [9, 1]], 1/6048],
[[[1, 4], [2, 1], [3, 2], [7, 1], [9, 1], [12, 1]], 1/3024],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [6, 2]], 1/518400],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 1/207360],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [12, 1]], 1/86400],
[[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [9, 1]], 1/3888],
[[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 1], [3, 3], [4, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [7, 1]], 1/90720],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [9, 1]], 1/38880],
[[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [10, 1]], 37/544320],
[[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [12, 1]], 1/15120],
[[[1, 4], [2, 1], [3, 3], [5, 1], [9, 1], [10, 1]], 1/11664],
[[[1, 4], [2, 1], [3, 3], [5, 1], [9, 1], [12, 1]], 1/6480],
[[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [10, 1]], 1/243000],
[[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [12, 1]], 1/19440],
[[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 7/7776],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [7, 1]], 13/544320],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [9, 1]], 13/233280],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [7, 1]], 1/217728],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [9, 1]], 1/93312],
[[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [8, 1]], 5/435456],
[[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [12, 1]], 1/36288],
[[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 5/186624],
[[[1, 4], [2, 1], [3, 4], [4, 1], [9, 1], [12, 1]], 1/15552],
[[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 4], [2, 1], [3, 4], [5, 1], [6, 2], [10, 1]], 1/233280],
[[[1, 4], [2, 1], [3, 4], [5, 1], [10, 1], [12, 1]], 1/38880],
[[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [10, 1]], 1/102060],
[[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [12, 1]], 5/40824],
[[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [10, 1]], 1/43740],
[[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 5/17496],
[[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [10, 2]], 1/9600],
[[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/6720],
[[[1, 4], [2, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/14400],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/7560],
[[[1, 4], [2, 1], [5, 2], [6, 1], [7, 1], [10, 1]], 1/63000],
[[[1, 4], [2, 1], [5, 2], [6, 1], [7, 1], [12, 1]], 1/50400],
[[[1, 4], [2, 1], [5, 2], [6, 1], [10, 1], [14, 1]], 1/12600],
[[[1, 4], [2, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/5400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 3]], 1/518400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 19/403200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 7/172800],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [14, 1]], 1/5600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [18, 1]], 1/7200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 1/9000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/3528],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [7, 1]], 1/1306368],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 7/15360],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 11/96000],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 1/51200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 3/12800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 3/12800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [12, 1]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 29/1382400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 73/1741824],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [9, 1]], 25/746496],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 29/580608],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 29/248832],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [8, 1]], 1/124416],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 29/145152],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/18816],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [18, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 1/76800],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/107520],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/307200],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/4096],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/307200],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 1/129024],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1/55296],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/55296],
[[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/14336],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 271/864000],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [7, 1]], 1/362880],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [9, 1]], 1/466560],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [14, 1]], 1/22680],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/9720],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 4], [10, 1]], 13/1866240],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [18, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [18, 1]], 1/6480],
[[[1, 4], [2, 3], [3, 1], [5, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [9, 1]], 1/21600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [14, 1]], 1/16800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [18, 1]], 1/21600],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 113/288000],
[[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [12, 1]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 3], [3, 1], [5, 2], [10, 1], [12, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 2]], 1/33600],
[[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [10, 2]], 1/43200],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/302400],
[[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 1/129600],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 5/40824],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/14112],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [18, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 1], [6, 2], [9, 1], [14, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 1/7776],
[[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 1/54432],
[[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/2268],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 4]], 1/311040],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 19/259200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 3/25600],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 31/72000],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 37/777600],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 41/217728],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 37/279936],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 25/186624],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 37/139968],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 5/186624],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [10, 1]], 1/103680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 19/72576],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 1/4704],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [18, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 1/43200],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [14, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [18, 1]], 1/3888],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 1/29160],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/12096],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [14, 1]], 1/20160],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [18, 1]], 1/25920],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 149/1382400],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/4096],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 1/21504],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 5/48384],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 163/1492992],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/23040],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 5/82944],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/3584],
[[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [12, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 5/10368],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 1/13824],
[[[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]], 1/184320],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 1/129024],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1/55296],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 1/36864],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 79/648000],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 1/34020],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/14580],
[[[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], [10, 1]], 1037/2799360],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [10, 1]], 23/75600],
[[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 13/32400],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [14, 1]], 19/90720],
[[[1, 4], [2, 3], [3, 2], [5, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 439/432000],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [12, 1]], 1/21600],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 13/18144],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/2352],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [18, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [14, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 1/3888],
[[[1, 4], [2, 3], [3, 2], [6, 1], [10, 2], [12, 1]], 1/57600],
[[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 1/27216],
[[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [10, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 1/6480],
[[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/136080],
[[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/58320],
[[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 61/699840],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 1/30240],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [14, 1]], 1/30240],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [18, 1]], 1/38880],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 59/518400],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 1/86400],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 151/435456],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 25/46656],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 1/36288],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/15552],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 41/1679616],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 11/145152],
[[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 1/30240],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 7/41472],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [18, 1]], 1/46656],
[[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 19/414720],
[[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 7/207360],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 65/580608],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 49/248832],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/1741824],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [18, 1]], 1/746496],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 145/1492992],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/414720],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 53/362880],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 47/155520],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [14, 1]], 1/7560],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [18, 1]], 1/9720],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 2243/4665600],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [12, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 3], [3, 3], [5, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 1/12096],
[[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [10, 1]], 13/90720],
[[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [12, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 13/38880],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [12, 1]], 1/7776],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 11/103680],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [8, 1]], 1/622080],
[[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 11/311040],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [7, 1]], 31/217728],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 29/93312],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 11/145152],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [18, 1]], 1/17496],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 7/93312],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 11/311040],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 13/93312],
[[[1, 4], [2, 3], [3, 4], [4, 2], [5, 1], [6, 1]], 1/38880],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 7/165888],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [10, 1]], 1/207360],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 7/248832],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 119/933120],
[[[1, 4], [2, 3], [3, 5], [4, 1], [5, 1], [6, 1]], 1/233280],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [8, 1]], 1/186624],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/13500],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [7, 1]], 1/362880],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/90720],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 1/38880],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3920],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [18, 1]], 1/5040],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 121/192000],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 3/5120],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/33600],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 1/57600],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 69/64000],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/10752],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 1/4608],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 1/403200],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [18, 1]], 1/172800],
[[[1, 4], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/72576],
[[[1, 4], [2, 3], [4, 1], [6, 3], [7, 1], [8, 1]], 1/217728],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [9, 1]], 1/4032],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [18, 1]], 1/3024],
[[[1, 4], [2, 3], [4, 1], [8, 1], [9, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/414720],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 77/2488320],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 3/8960],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [18, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 23/161280],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 1/19200],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/18816],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [18, 1]], 1/8064],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 4], [2, 3], [4, 2], [6, 1], [9, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 3], [4, 2], [6, 1], [9, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 1/96768],
[[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 1/207360],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 2], [8, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [10, 1]], 1/184320],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 5/129024],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 5/55296],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [10, 1]], 1/12096],
[[[1, 4], [2, 3], [5, 1], [6, 2], [9, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [14, 1]], 13/302400],
[[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 13/129600],
[[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 3], [5, 2], [6, 1], [10, 1], [12, 1]], 1/14400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 7/124416],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 67/172800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/34560],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 1/230400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 31/144000],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 499/1382400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 1537/5225472],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [9, 1]], 433/2239488],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 97/193536],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 53/82944],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 397/2985984],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 37/311040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 7/248832],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 1/48384],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 1/56448],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [18, 1]], 1/72576],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [14, 1]], 1/24192],
[[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [18, 1]], 1/31104],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 43/829440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 1/92160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 1/55296],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [18, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 13/368640],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 47/36864],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 97/345600],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 13/72576],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 7/62208],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 71/145152],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 17/31104],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 251/497664],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 47/138240],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 17/124416],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 13/32256],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 7/138240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 59/368640],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 49/345600],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 29/387072],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/7168],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 3/8192],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 71/552960],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 7/110592],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/122880],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 7/73728],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1/122880],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 121/144000],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 1/77760],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 1/2835],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 7/25920],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 2077/4665600],
[[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 881/9676800],
[[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 257/4147200],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/6300],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1/76800],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 11/28800],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 23/816480],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 5/14112],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [18, 1]], 1/12096],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 1/25600],
[[[1, 4], [2, 5], [3, 1], [6, 1], [9, 1], [14, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 1], [6, 1], [10, 2], [12, 1]], 7/172800],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 19/108864],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [12, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [6, 2], [9, 1], [10, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 277/725760],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 7/19440],
[[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [14, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 1/31104],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 1], [6, 3], [10, 1], [12, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 1], [10, 1], [12, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/6480],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/241920],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 1/103680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 67/4147200],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 913/12441600],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 11/36288],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 17/93312],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1163/1741824],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 961/2239488],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 47/69984],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 851/1399680],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 1/96768],
[[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/20160],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 5/41472],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/18144],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 149/622080],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 829/5529600],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 41/258048],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 65/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 37/129024],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 7/41472],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 865/995328],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 287/829440],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 7/41472],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 7/69120],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 17/55296],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 31/552960],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 1/170100],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 1/72900],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 1/6048],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [18, 1]], 1/25920],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 8161/9331200],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 37/544320],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 11/233280],
[[[1, 4], [2, 5], [3, 2], [6, 1], [12, 1], [14, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 2], [6, 2], [10, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 247/1866240],
[[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 61/2073600],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 67/1741824],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 67/746496],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 101/1741824],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [18, 1]], 25/746496],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 3643/8957952],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 13/62208],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 7/829440],
[[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 29/829440],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 319/1492992],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 13/414720],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 629/4665600],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 19/2985984],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 631/864000],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/6048],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 1/3888],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 67/2488320],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 343/2073600],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 109/403200],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2304],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 1], [5, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 17/96000],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [12, 1]], 1/230400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 5/18816],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [18, 1]], 1/8064],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 13/46080],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 5], [4, 1], [6, 1], [9, 1], [14, 1]], 5/24192],
[[[1, 4], [2, 5], [4, 1], [6, 1], [9, 1], [18, 1]], 1/10368],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 1/230400],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 5/24192],
[[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 53/290304],
[[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 7/27648],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 5], [4, 1], [6, 2], [9, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 1/96768],
[[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 11/165888],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 1/55296],
[[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 41/80640],
[[[1, 4], [2, 5], [4, 1], [8, 1], [9, 1], [10, 1]], 1/6912],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 9/17920],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 1/26880],
[[[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]], 487/2073600],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 307/307200],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 11/32256],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 1/21504],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 11/16128],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 1/1728],
[[[1, 4], [2, 5], [4, 2], [6, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 481/1935360],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 191/829440],
[[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 1/21504],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 1/2560],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 67/460800],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 37/92160],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 1/7560],
[[[1, 4], [2, 5], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 3713/9676800],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 929/4147200],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 1/8960],
[[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 1/19353600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 1/8294400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 107/55296000],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 11/73728],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 169/409600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 143/1451520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 131/1866240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 4171/4644864],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 947/1990656],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 7229/14929920],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 557/622080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 7/41472],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 1/967680],
[[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 1/241920],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 1/414720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 1/27648],
[[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1/103680],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 11/276480],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 47/2764800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 613/9216000],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 493/23224320],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 11/829440],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 1/2592],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 23/165888],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 391/552960],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 3833/5529600],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 67/663552],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 61/460800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 7/307200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 17/1105920],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1063/2949120],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 577/2764800],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 1/1209600],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 1/1555200],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 73/725760],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 1/311040],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 2911/10368000],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 1/11200],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 5/32256],
[[[1, 4], [2, 7], [3, 1], [6, 1], [9, 1], [10, 1]], 13/259200],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 1003/1814400],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 83/777600],
[[[1, 4], [2, 7], [3, 1], [6, 1], [12, 1], [14, 1]], 17/580608],
[[[1, 4], [2, 7], [3, 1], [6, 1], [12, 1], [18, 1]], 1/248832],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 13/69120],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 1], [12, 1]], 1/10368],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/21600],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 91/33177600],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 13/3317760],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 257/29859840],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1289/8709120],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 23/2799360],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 23683/59719680],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 2281/4665600],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 7/138240],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 49/2073600],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 437/49766400],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 2869/19906560],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 2269/16588800],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 17/3317760],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 306193/5225472000],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 1], [12, 1]], 13/345600],
[[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/9331200],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 73/11197440],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 53/3110400],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1209600],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 71/604800],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 23/777600],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 5/82944],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 14153/55296000],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 2503/18432000],
[[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 157/2903040],
[[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [9, 1]], 1/34560],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 83/221184],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 31/221184],
[[[1, 4], [2, 7], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 589/921600],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 281/921600],
[[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 5/96768],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 73/184320],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 19/345600],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 137/907200],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 239/307200],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 5/73728],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 11/184320],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 1], [12, 1]], 13/2764800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 89/5806080],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 121/278691840],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 2581/522547200],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 1105/292626432],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 311/104509440],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 3371/23224320],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 59/2488320],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 637/5308416],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 1741/4147200],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 7/276480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 7/1382400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 1/2064384],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 197/51609600],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 8149/111476736],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 1597/11059200],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 53/11612160],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 98459/5225472000],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 47/1382400],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 1], [12, 1]], 17/2073600],
[[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 121/69672960],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 1429/418037760],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 36661/1045094400],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 11/5160960],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 289/58060800],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 69/1792000],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 373/2211840],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 1/368640],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 17/921600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 4009/6967296000],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 22993/6688604160],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 10361/348364800],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 79/139345920],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 3]], 7/4665600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 191/403200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 79/172800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [14, 1]], 1/7200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [18, 1]], 7/64800],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 7/72000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/6048],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 1/10752],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 1/92160],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 31/115200],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 1/14400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/36864],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 5/24192],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/107520],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/921600],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 1/921600],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/387072],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 5/129024],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 5/55296],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [7, 1]], 1/326592],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [9, 1]], 1/699840],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1260],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/3528],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [18, 1]], 1/4536],
[[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [14, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [18, 1]], 1/9720],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 17/100800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 7/129600],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [14, 1]], 1/100800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [18, 1]], 1/129600],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 47/432000],
[[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [12, 1]], 1/172800],
[[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [10, 1]], 1/9600],
[[[1, 5], [2, 2], [3, 1], [5, 2], [10, 1], [12, 1]], 1/14400],
[[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [14, 1]], 1/4536000],
[[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [18, 1]], 1/1944000],
[[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/27216],
[[[1, 5], [2, 2], [3, 1], [6, 2], [14, 1], [18, 1]], 1/816480],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/3024],
[[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/43200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 7/172800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 163/691200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 7/43200],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 1/9600],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [7, 1]], 5/653184],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 1/839808],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 59/72576],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/14112],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [18, 1]], 1/18144],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2]], 1/172800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [14, 1]], 1/9072],
[[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [18, 1]], 1/11664],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 11/80640],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 5/20736],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 7/691200],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 13/193536],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 5/82944],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [8, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/4032],
[[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 1/32256],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/2592],
[[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 1/552960],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/387072],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 1/43200],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 17/362880],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 11/155520],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [10, 1]], 109/5598720],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/10080],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [10, 1]], 79/302400],
[[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/4320],
[[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 13/43200],
[[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 2], [5, 1], [10, 1], [18, 1]], 1/77760],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 361/864000],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [12, 1]], 1/10800],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 23/18144],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 5/42336],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [18, 1]], 5/54432],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [14, 1]], 1/18144],
[[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 1/23328],
[[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [10, 1]], 1/18144],
[[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [12, 1]], 5/72576],
[[[1, 5], [2, 2], [3, 2], [6, 2], [9, 1], [10, 1]], 1/38880],
[[[1, 5], [2, 2], [3, 2], [6, 2], [9, 1], [12, 1]], 1/31104],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3]], 31/1049760],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 97/362880],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 19/38880],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [14, 1]], 1/18144],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [18, 1]], 1/23328],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 307/1555200],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 1/259200],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 11/145152],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 5/31104],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/108864],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 1/46656],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 41/1679616],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 19/124416],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 101/373248],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [14, 1]], 1/36288],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [18, 1]], 1/46656],
[[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/5184],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 7/207360],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 29/414720],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 1/276480],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 7/124416],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 121/181440],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 77/77760],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [14, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [18, 1]], 1/9720],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 151/1555200],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [12, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [10, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 3], [5, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/12096],
[[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [10, 1]], 1/27216],
[[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [12, 1]], 1/3402],
[[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [10, 1]], 1/19440],
[[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [12, 1]], 1/3888],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 2]], 1/311040],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 7/311040],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 19/933120],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [12, 1]], 1/51840],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 41/217728],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 89/279936],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 19/373248],
[[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [12, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 17/497664],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 659/9331200],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [12, 1]], 1/11664],
[[[1, 5], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1]], 1/23328],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 1/62208],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [10, 1]], 1/349920],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 13/279936],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 3], [7, 1]], 1/1088640],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [9, 1]], 1/5040],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 1/11760],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [18, 1]], 1/15120],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 2]], 1/48000],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/25200],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/43200],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 37/64000],
[[[1, 5], [2, 2], [4, 1], [6, 3], [7, 1], [8, 1]], 1/870912],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/3024],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 1/9408],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [18, 1]], 1/12096],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/2688],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 5], [2, 2], [4, 2], [5, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [14, 1]], 1/107520],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [10, 1]], 1/552960],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 11/122880],
[[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048],
[[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [18, 1]], 1/110592],
[[[1, 5], [2, 2], [5, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/144000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/51840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/5120],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 17/96000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 913/12441600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 13/46080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 631/864000],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 1/230400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/9216],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 67/4147200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 101/1741824],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1]], 25/746496],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 67/1741824],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 67/746496],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 19/2985984],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 5/24192],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 5/18816],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [18, 1]], 5/24192],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/57600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [18, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 1/230400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 13/414720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 481/1935360],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 191/829440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [18, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 97/345600],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 47/36864],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 13/368640],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 37/129024],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 7/41472],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 41/258048],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 65/331776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 319/1492992],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 29/829440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 11/16128],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 1/26880],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1/21504],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 11/32256],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [18, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 1/21504],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 31/552960],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 37/92160],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 67/460800],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/7168],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 29/387072],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 17/55296],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/12288],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/122880],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 7/73728],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/122880],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 11/28800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 37/544320],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 11/233280],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 1/6720],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 629/4665600],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 1/8960],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 3713/9676800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 929/4147200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 1/7560],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 1/25600],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 121/144000],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [12, 1]], 7/172800],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 19/108864],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 5/14112],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [18, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1/76800],
[[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [14, 1]], 1/12096],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 23/816480],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 1/6048],
[[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [6, 2], [9, 1], [10, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 1/170100],
[[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 1/72900],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 13/62208],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [18, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 499/1382400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1163/1741824],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 961/2239488],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 11/36288],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 17/93312],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 3643/8957952],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 247/1866240],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/6048],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 1/96768],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 53/290304],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [18, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 1/3888],
[[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 287/829440],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 1/2560],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 487/2073600],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 71/145152],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 17/31104],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 13/72576],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 7/62208],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 865/995328],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 149/622080],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 7/41472],
[[[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]], 1/9216],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 71/552960],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 3/8192],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 7/138240],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 7/110592],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 277/725760],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 7/19440],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 1/3360],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [18, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 8161/9331200],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 2], [5, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 1/2835],
[[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [12, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 7/25920],
[[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 1/77760],
[[[1, 5], [2, 4], [3, 2], [6, 1], [12, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 2], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 851/1399680],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 11/165888],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 343/2073600],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 97/193536],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 53/82944],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 1537/5225472],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [18, 1]], 433/2239488],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 47/69984],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/6480],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 67/2488320],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 47/138240],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 251/497664],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 43/829440],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 17/124416],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 2077/4665600],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [12, 1]], 1/25920],
[[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 37/311040],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 397/2985984],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 7/124416],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 7/248832],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 31/144000],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/18144],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/20160],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 1/12960],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 7/829440],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 61/2073600],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 9/17920],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [9, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 41/80640],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [18, 1]], 1/6912],
[[[1, 5], [2, 4], [4, 1], [5, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 109/403200],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [18, 1]], 1/17280],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/57600],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 67/172800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 1/56448],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 1/24192],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 1], [6, 1], [9, 1], [14, 1]], 1/72576],
[[[1, 5], [2, 4], [4, 1], [6, 1], [9, 1], [18, 1]], 1/31104],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1/48384],
[[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 5/41472],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [9, 1]], 1/41472],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 1/96768],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/241920],
[[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 1/2304],
[[[1, 5], [2, 4], [4, 1], [8, 1], [9, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 1/13440],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 1/8640],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 7/69120],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 829/5529600],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 307/307200],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 13/32256],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 1/16128],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/4608],
[[[1, 5], [2, 4], [4, 2], [6, 1], [9, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 1/92160],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 1/55296],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 49/345600],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 59/368640],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 1/12288],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6300],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [12, 1]], 1/13440],
[[[1, 5], [2, 4], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 881/9676800],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 257/4147200],
[[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 611/2488320],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 13/1290240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 1/110592],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 13/241920],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 12869/497664000],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 7/18432],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1819/6635520],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 13/41472],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 1/5184],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 145/221184],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 2471/5971968],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 2665/5971968],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 47/116640],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 29/373248],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 223/7741440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 103/3317760],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 11/96768],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 19/241920],
[[[1, 5], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 5/96768],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 19/92160],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 31/184320],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 893/2764800],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 7/27648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 5/41472],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 97/172032],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 7/27648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 4669/3981312],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 1237/1658880],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 43/221184],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 11/34560],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 5/73728],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 11/184320],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 61/368640],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 1627/1769472],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 293/921600],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 7/110592],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 29/2177280],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 47/4665600],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 41/161280],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 7/207360],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 23357/49766400],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [12, 1]], 1/46080],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 1], [12, 1]], 13/2764800],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 1/21504],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 187/806400],
[[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [12, 1]], 1/1935360],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 5/32256],
[[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 1/12800],
[[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [12, 1]], 1/829440],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 14261/54432000],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 1501/23328000],
[[[1, 5], [2, 6], [3, 1], [6, 1], [12, 1], [14, 1]], 1/43008],
[[[1, 5], [2, 6], [3, 1], [6, 1], [12, 1], [18, 1]], 1/165888],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 1], [12, 1]], 1/25920],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 23/69120],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/138240],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 9607/99532800],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 7291/69672960],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 9797/89579520],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 113/387072],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 5/46656],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 12503/11943936],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 343/497664],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 1/5184],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 11/129600],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 599/3317760],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 365/497664],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 3209/9953280],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 47/663552],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 499/1866240],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 607/22394880],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 11303/89579520],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 401/3110400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 23/1814400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 1/4480],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 1/10368],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 3499/11059200],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 2033/4608000],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 47/362880],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 13/80640],
[[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [12, 1]], 1/64512],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 641/2580480],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 403/3317760],
[[[1, 5], [2, 6], [4, 1], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 641/3870720],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 169/1658880],
[[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 19/110592],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 73/276480],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 2407/5529600],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 1/36864],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1536],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/36864],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 181/1935360],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/340200],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 571/20736000],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 239/7741440],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 53/2488320],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 7871/23224320],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 523/7464960],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 3407/9953280],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 3581/4976640],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1339/19906560],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 79/2764800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 1/368640],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 17/921600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 379/11059200],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 5957/15925248],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 1409/3317760],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 13/552960],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 31123/348364800],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 11/153600],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 1], [12, 1]], 5/331776],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 47/3317760],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 13091/418037760],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 2411/19906560],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 47/3317760],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 13/387072],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 15341/96768000],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 173/691200],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 7/1105920],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 5/221184],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 12421/2322432000],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 157189/6688604160],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 39883/348364800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 29/8709120],
[[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/12096],
[[[1, 5], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 31/134400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 107/518400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/42336],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/15360],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 7/115200],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [10, 1]], 1/230400],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 1/48384],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/322560],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 1/138240],
[[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 3], [7, 1]], 11/16329600],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 3], [9, 1]], 1/6998400],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1620],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [14, 1]], 11/176400],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [18, 1]], 11/226800],
[[[1, 6], [2, 1], [3, 1], [5, 1], [9, 1], [14, 1]], 1/75600],
[[[1, 6], [2, 1], [3, 1], [5, 1], [9, 1], [18, 1]], 1/97200],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 11/302400],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1]], 1/129600],
[[[1, 6], [2, 1], [3, 1], [5, 2], [6, 2], [10, 1]], 1/864000],
[[[1, 6], [2, 1], [3, 1], [5, 2], [10, 1], [12, 1]], 1/144000],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 1/12096],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2]], 7/518400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 19/138240],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 7/86400],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 17/72576],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/120960],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 1/51840],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/691200],
[[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/32256],
[[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [7, 1]], 1/36288],
[[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [9, 1]], 1/77760],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1]], 13/453600],
[[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [12, 1]], 1/6048],
[[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1]], 1/64800],
[[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [12, 1]], 1/12960],
[[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [10, 1]], 13/648000],
[[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [12, 1]], 1/32400],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3402],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 157/1088640],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 13/58320],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 1/388800],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [7, 1]], 1/145152],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 1/93312],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 37/435456],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 1/24192],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 41/373248],
[[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/15552],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [10, 1]], 1/1244160],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/290304],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/124416],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 197/604800],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 341/777600],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 2], [10, 1]], 1/622080],
[[[1, 6], [2, 1], [3, 3], [5, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [10, 1]], 1/116640],
[[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [12, 1]], 13/163296],
[[[1, 6], [2, 1], [3, 3], [6, 1], [9, 1], [10, 1]], 1/116640],
[[[1, 6], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 1/23328],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [6, 2]], 1/186624],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 17/622080],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 1/31104],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 1/163296],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/69984],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [8, 1]], 1/373248],
[[[1, 6], [2, 1], [3, 4], [4, 1], [8, 1], [12, 1]], 1/62208],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [10, 1]], 1/145800],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [12, 1]], 1/11664],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 1/93312],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/15120],
[[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/100800],
[[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 7/64000],
[[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/12096],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/26880],
[[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/322560],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4]], 1/3110400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/5120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 241/4147200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 13/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 19/48000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 1/15360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 1/15552000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1]], 1/580608],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1]], 1/2239488],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 1/6531840],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 1/2799360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1]], 1/2985984],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 19/36288],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 1/6272],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [18, 1]], 1/8064],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 1/216000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [14, 1]], 1/24192],
[[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [18, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 79/7464960],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1199/2419200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 53/129600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [14, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [18, 1]], 7/103680],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 61/276480],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 11/24576],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 1/32256],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 5/774144],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 5/331776],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/1492992],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 29/43008],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 77/165888],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 3/10240],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/14336],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 1/258048],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1/552960],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/12288],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 11/294912],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 31/1296000],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 779/10886400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 31/1166400],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 1/60480],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 1/25920],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 7/27993600],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 19/80640],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 15179/48384000],
[[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [12, 1]], 1/13440],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 953/6912000],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/28350],
[[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [18, 1]], 1/129600],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 7/230400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 97/216000],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [12, 1]], 11/172800],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 1/4032],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 1/9408],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [18, 1]], 1/12096],
[[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 1/544320],
[[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 1/20160],
[[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [12, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 1/2721600],
[[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 1/1166400],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 7/116640],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 43/60480],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 1/1440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [14, 1]], 1/5040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [18, 1]], 1/6480],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 2759/4147200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1/345600],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 65/193536],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 157/746496],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1/145152],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 277/8957952],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/2304],
[[[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]], 5/32256],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 17/41472],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 1/10752],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [18, 1]], 7/124416],
[[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 7/46080],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 37/69120],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 7/92160],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 37/129024],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 85/248832],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 1/290304],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 1/124416],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 307/995328],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 5/36864],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 821/725760],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 1/1296],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 11/60480],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [18, 1]], 11/77760],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 839/3110400],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [12, 1]], 11/103680],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 7/138240],
[[[1, 6], [2, 3], [3, 2], [5, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 23/96768],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 1/7560],
[[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [12, 1]], 5/24192],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 7/41472],
[[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 1/15552],
[[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 1/31104],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1931/4665600],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 509/2488320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 53/414720],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1319/1741824],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 623/746496],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 1/12096],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [18, 1]], 5/93312],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 29/93312],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/25920],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 11/124416],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/51840],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 601/2488320],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 85/248832],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/51840],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 2897/9331200],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [12, 1]], 7/38880],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 47/116640],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 197/995328],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 7/466560],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 61/373248],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 17/1728000],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1]], 11/12441600],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1]], 1/37324800],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 11/13440],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 79/403200],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 1/6400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [18, 1]], 11/172800],
[[[1, 6], [2, 3], [4, 1], [5, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 17/806400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [18, 1]], 1/518400],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/230400],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/25600],
[[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 1/13440],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 1/80640],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1/34560],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/221184],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 259/921600],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 1/64512],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 1/129024],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 1/55296],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 7/184320],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 41/604800],
[[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [12, 1]], 1/13440],
[[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/276480],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 401/3110400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 641/3870720],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 169/1658880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 13/80640],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [18, 1]], 1/8640],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1819/6635520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 7/18432],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 12869/497664000],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 113/387072],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 5/46656],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 7291/69672960],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 9797/89579520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 11303/89579520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 607/22394880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 641/2580480],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 1/64512],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 403/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 47/362880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [18, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 1/10368],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 23/1814400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 1/64512],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 3209/9953280],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1536],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 2407/5529600],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 97/172032],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 7/27648],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 7/27648],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 5/41472],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 365/497664],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 599/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 47/663552],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 73/276480],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 293/921600],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 1627/1769472],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 61/368640],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 7/110592],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 14261/54432000],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 1501/23328000],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 187/806400],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 1/12800],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 499/1866240],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [12, 1]], 1/17280],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 41/161280],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [12, 1]], 1/43008],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 1/21504],
[[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 7/207360],
[[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [12, 1]], 1/165888],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 29/2177280],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 47/4665600],
[[[1, 6], [2, 5], [3, 1], [6, 1], [12, 1], [14, 1]], 1/1935360],
[[[1, 6], [2, 5], [3, 1], [6, 1], [12, 1], [18, 1]], 1/829440],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 343/497664],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 19/110592],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 3499/11059200],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 145/221184],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 2471/5971968],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 13/41472],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 1/5184],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 12503/11943936],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 23/69120],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 1/5184],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1237/1658880],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 4669/3981312],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 19/92160],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 43/221184],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 23357/49766400],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [12, 1]], 1/25920],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 47/116640],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 2665/5971968],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 611/2488320],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 29/373248],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 19/241920],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 1/17280],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 11/129600],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 9607/99532800],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 2033/4608000],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 11/96768],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 13/241920],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [12, 1]], 5/96768],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 223/7741440],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 103/3317760],
[[[1, 6], [2, 5], [4, 1], [6, 1], [9, 1], [10, 1]], 1/103680],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 13/1290240],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 1/110592],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/138240],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 11/34560],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 893/2764800],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 11/184320],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 31/184320],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 5/73728],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 5], [5, 1], [6, 1], [10, 1], [12, 1]], 13/2764800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 10369/41472000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 227/11059200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 29/259200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 161/1105920],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 49/746496],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 1039/3110400],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 5153/55987200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 5807/14929920],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 661033/1492992000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 31/442368],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 377/5184000],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 7/1105920],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 5/221184],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 21667/99532800],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 8171/9953280],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 13/25920],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 35/663552],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/61440],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 1037849/5225472000],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [12, 1]], 1/2764800],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 11/184320],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 1], [12, 1]], 13/1382400],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 9289/99532800],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 5353/29859840],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 539/2211840],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 137/3317760],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 3221/41472000],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 2237/9953280],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 11/1843200],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 779/5529600],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 1/122880],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 11/1843200],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 12151/435456000],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 318779/4180377600],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 2237537/10450944000],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 19/2211840],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/864000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 13/1382400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 149/432000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 13/345600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 1/25600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1]], 1/3732480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [9, 1]], 1/33592320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 17/72576],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 1/40320],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [18, 1]], 1/51840],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2]], 1/3456000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [14, 1]], 1/362880],
[[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [18, 1]], 1/466560],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 67/403200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 127/1036800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 233/5529600],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 1/387072],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 13/71680],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 1/64512],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 71/829440],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 19/368640],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 1/552960],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/774144],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1/294912],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 1/1008000],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 89/3628800],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 1/388800],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 3], [10, 1]], 1/195955200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 61/403200],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 3077/48384000],
[[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [12, 1]], 1/13440],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 11/172800],
[[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 119/6912000],
[[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [14, 1]], 1/470400],
[[[1, 7], [2, 2], [3, 1], [5, 1], [10, 1], [18, 1]], 1/2721600],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 1/230400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 83/1080000],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [12, 1]], 23/864000],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 5/54432],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/84672],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [18, 1]], 1/108864],
[[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [10, 1]], 1/181440],
[[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [12, 1]], 1/145152],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3]], 47/13996800],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 331/604800],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 121/259200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [14, 1]], 13/302400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [18, 1]], 13/388800],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 331/1382400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 1/5184000],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 29/580608],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 5/248832],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2177280],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 1/933120],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1]], 7/2239488],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 47/207360],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 1/10752],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 11/69120],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [14, 1]], 1/96768],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [18, 1]], 1/124416],
[[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 19/829440],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 143/691200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 11/1105920],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 7/138240],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/28672],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 41/995328],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/165888],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/184320],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/221184],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 2509/3628800],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 149/388800],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [14, 1]], 1/43200],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [18, 1]], 7/388800],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 203/15552000],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [12, 1]], 7/518400],
[[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 7], [2, 2], [3, 2], [5, 1], [10, 1], [12, 1]], 1/172800],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 5/96768],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1]], 17/907200],
[[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [12, 1]], 31/362880],
[[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1]], 1/194400],
[[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 1/155520],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 2231/12441600],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 493/37324800],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 1/8640],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1051/5225472],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 157/746496],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 19/995328],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [12, 1]], 7/165888],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/38880],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 25/497664],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 3167/65318400],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [12, 1]], 31/233280],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 761/4665600],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 19/248832],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 11/2799360],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 101/2239488],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/12441600],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 7/19200],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/115200],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 11/172800],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [14, 1]], 1/134400],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [18, 1]], 1/172800],
[[[1, 7], [2, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/518400],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 7/1080000],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 13/3456000],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 13/756000],
[[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 13/604800],
[[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/9676800],
[[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4147200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 53/3110400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 589/921600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 281/921600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 1/6720],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [18, 1]], 1/8640],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 169/409600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 11/73728],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 107/55296000],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1289/8709120],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 23/2799360],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 13/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 257/29859840],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 73/11197440],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/9331200],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 83/221184],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 71/604800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 5/96768],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 31/221184],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 157/2903040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [18, 1]], 1/34560],
[[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 23/777600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1/1209600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 2269/16588800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 239/307200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 137/907200],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 11/184320],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 1/2592],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 23/165888],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 493/23224320],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 11/829440],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 2869/19906560],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 437/49766400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 17/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 19/345600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 5/73728],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 577/2764800],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1063/2949120],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 17/1105920],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 1003/1814400],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 83/777600],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 1/11200],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [18, 1]], 13/259200],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 306193/5225472000],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [12, 1]], 13/345600],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 1], [12, 1]], 13/2764800],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 5/32256],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 73/725760],
[[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [12, 1]], 17/580608],
[[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 1/311040],
[[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [12, 1]], 1/248832],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 1/1209600],
[[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 1/1555200],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 2281/4665600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 73/184320],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 14153/55296000],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 4171/4644864],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 947/1990656],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 143/1451520],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 131/1866240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 23683/59719680],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 1/21600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 7/138240],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 5/82944],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 3833/5529600],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 391/552960],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 11/276480],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 67/663552],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 13/69120],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 2911/10368000],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [12, 1]], 1/10368],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 557/622080],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 7229/14929920],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 7/41472],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 1/241920],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/103680],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 49/2073600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 91/33177600],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 2503/18432000],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 1/27648],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 1/32256],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 1/967680],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/414720],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 1/19353600],
[[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 1/8294400],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 61/460800],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 613/9216000],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 7/307200],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 47/2764800],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/69120],
[[[1, 7], [2, 4], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 539/2211840],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 779/5529600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 2237/9953280],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 11/1843200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 1039/3110400],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 5153/55987200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 161/1105920],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 49/746496],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 5353/29859840],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 9289/99532800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 137/3317760],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 3221/41472000],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 1/122880],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 11/1843200],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 13/25920],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 8171/9953280],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 21667/99532800],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 35/663552],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 11/184320],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 1037849/5225472000],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [12, 1]], 13/1382400],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1]], 1/2764800],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 661033/1492992000],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 5807/14929920],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 10369/41472000],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 31/442368],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 377/5184000],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 29/259200],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 5/221184],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 227/11059200],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 7/1105920],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 7847/82944000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 2172403/16721510400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 96499/497664000],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 23/2211840],
[[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/403200],
[[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/172800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]], 13/20736000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 1457/24192000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 13/3456000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/34560],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 83/9676800],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 13/4147200],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/5529600],
[[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 1/92160],
[[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 1/829440],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/368640],
[[[1, 8], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1]], 13/3628800],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 11/403200],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1]], 25/24385536],
[[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [12, 1]], 13/604800],
[[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/172800],
[[[1, 8], [2, 1], [3, 1], [5, 1], [9, 1], [10, 1]], 97/261273600],
[[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1]], 43/22680000],
[[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [12, 1]], 43/18144000],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1]], 1/108864],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 361/3628800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 13/172800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 13/1036800],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1]], 1/414720],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1]], 1/3732480],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 379/10160640],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1/68040],
[[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 1/622080],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 13/691200],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [10, 1]], 1/3317760],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 5/2322432],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 1/995328],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 127/1209600],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/24300],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 2], [10, 1]], 1/21772800],
[[[1, 8], [2, 1], [3, 2], [5, 1], [10, 1], [12, 1]], 1/3628800],
[[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [10, 1]], 37/19051200],
[[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [12, 1]], 71/7620480],
[[[1, 8], [2, 1], [3, 2], [6, 1], [9, 1], [10, 1]], 1/4082400],
[[[1, 8], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1]], 1/3265920],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2]], 13/3110400],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 109/2488320],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 13/518400],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 1/186624],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 1/186624],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1]], 1/995328],
[[[1, 8], [2, 1], [3, 3], [4, 1], [8, 1], [12, 1]], 1/165888],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/414720],
[[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [10, 1]], 17/5832000],
[[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [12, 1]], 1/58320],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1/233280],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/186624],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/20160],
[[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/172800],
[[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/756000],
[[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/604800],
[[[1, 8], [2, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/609638400],
[[[1, 8], [2, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/261273600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 1/2332800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 1433/2764800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 1823/8294400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 1/25200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [18, 1]], 1/32400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 29999/165888000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1/73728],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/55296000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 43/967680],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 1/1866240],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 1/23224320],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 1/9953280],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 11/156764160],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 361/1935360],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1/57600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 1/32256],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 1/18432],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 17/2257920],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [18, 1]], 11/2177280],
[[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 1/518400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 23/1843200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 221/691200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 463/38707200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 7/307200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 107/1105920],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 49/2488320],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 1/5806080],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 1/2488320],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 29/2488320],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/1382400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 1/69120],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 229/5529600],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 319/8847360],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 1261/3628800],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 91/1555200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 1/75600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [18, 1]], 1/97200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 2903/435456000],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [12, 1]], 1/129600],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 11/2419200],
[[[1, 8], [2, 3], [3, 1], [5, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 5/96768],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 1/57600],
[[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [12, 1]], 11/967680],
[[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 1/1555200],
[[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [12, 1]], 1/1244160],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 389/3110400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 1273/4147200],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 60479/1161216000],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 1/11520],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 311/860160],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 4559/29859840],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 31/3386880],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [18, 1]], 43/6531840],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 803/19906560],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 31/7257600],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 43/8709120],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 559/2764800],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 6619/46448640],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 7/1382400],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 1/92160],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 31/345600],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 32563/580608000],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [12, 1]], 1/16200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1567/3110400],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 18497/104509440],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 53/4665600],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 121/1866240],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/19200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/691200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/33177600],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 10663/1161216000],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/201600],
[[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/15240960],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/6531840],
[[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1219276800],
[[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/522547200],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 1/38400],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 1/460800],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/552960],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1382400],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1105920],
[[[1, 8], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/19353600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 2411/19906560],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 173/691200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 15341/96768000],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 5/221184],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 7871/23224320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 523/7464960],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 239/7741440],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 53/2488320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 13091/418037760],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 47/3317760],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 47/3317760],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 13/387072],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 7/1105920],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1409/3317760],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 5957/15925248],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 379/11059200],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 13/552960],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 11/153600],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 31123/348364800],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [12, 1]], 5/331776],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 3581/4976640],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 3407/9953280],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 181/1935360],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 1339/19906560],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 79/2764800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 571/20736000],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 17/921600],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/340200],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 1/368640],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 96499/497664000],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 2172403/16721510400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 7847/82944000],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 23/2211840],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3]], 23/783820800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 2749/19353600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 421/8294400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1]], 23/8467200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [18, 1]], 23/10886400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 93421/3483648000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 1/3483648000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 13/2903040],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/1463132160],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 1/627056640],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1]], 1/313528320],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 16427/487710720],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 1/161280],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 295/41803776],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1]], 1/3386880],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [18, 1]], 1/4354560],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 1/3317760],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 407/9676800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 11/19353600],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 1/552960],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 19/1935360],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 1/1244160],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/6635520],
[[[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]], 1/1843200],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1/1769472],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 97/1209600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 17/1555200],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [14, 1]], 1/1209600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [18, 1]], 1/1555200],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 2071/5225472000],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1]], 1/2073600],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [10, 1]], 1/4838400],
[[[1, 9], [2, 2], [3, 1], [5, 1], [10, 1], [12, 1]], 1/19353600],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1]], 13/10160640],
[[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [12, 1]], 13/8128512],
[[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1]], 1/21772800],
[[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1]], 1/17418240],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 11/1036800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 2393/29030400],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 2557/2090188800],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 1/43200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 10183/209018880],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 1769/125411328],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 193/139345920],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 11/2903040],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 71/4147200],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 17/2322432],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 7/691200],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 24491/5225472000],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [12, 1]], 67/5443200],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 21793/261273600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 463/23224320],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 23/19595520],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 251/39191040],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/86400],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2090188800],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 139/774144000],
[[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/3628800],
[[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/2903040],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/975421440],
[[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/418037760],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/460800],
[[[1, 9], [2, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/870912000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 36661/1045094400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 373/2211840],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 69/1792000],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 17/921600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 3371/23224320],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 59/2488320],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 1105/292626432],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 311/104509440],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 1429/418037760],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 121/69672960],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 11/5160960],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 289/58060800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 1/368640],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 1597/11059200],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 8149/111476736],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 197/51609600],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 53/11612160],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 47/1382400],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 98459/5225472000],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1]], 17/2073600],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1741/4147200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 637/5308416],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 89/5806080],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 7/276480],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 7/1382400],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 2581/522547200],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/184320],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 121/278691840],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2064384],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 2237537/10450944000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 318779/4180377600],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 12151/435456000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 19/2211840],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 14821/1219276800],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 1693/522547200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 43/36288000],
[[[1, 10], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1]], 1/17418240],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 9217/4877107200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/2903040],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 577/2090188800],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 23/19353600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [10, 1]], 1/116121600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/4644864],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/172800],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1]], 1/1555200],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 2], [10, 1]], 1/5225472000],
[[[1, 10], [2, 1], [3, 1], [5, 1], [10, 1], [12, 1]], 1/870912000],
[[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [10, 1]], 121/2286144000],
[[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [12, 1]], 121/1828915200],
[[[1, 10], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1]], 1/979776000],
[[[1, 10], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1]], 1/783820800],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2]], 23/87091200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 83/11612160],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 23/14515200],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 37/30481920],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 1/6531840],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1]], 1/34836480],
[[[1, 10], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1]], 1/5806080],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 7/16588800],
[[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1]], 11/54432000],
[[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1]], 1/1360800],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 17/9331200],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 43/69672960],
[[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1209600],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/331776000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 1927/348364800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 6421/139345920],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 4883/1741824000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 1/184320],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 13159/487710720],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 89/26127360],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 283/1625702400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1]], 211/1567641600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 233/1672151040],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 283/3483648000],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 211/2090188800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 1/4838400],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 1/2064384],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 2767/139345920],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 11239/1857945600],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 13/66355200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 17/69672960],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 17/2764800],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 5629/2612736000],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1]], 103/58060800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 201133/2090188800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 67513/4180377600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 227/174182400],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 131/34836480],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2764800],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1849/3483648000],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 73/116121600],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/36864000],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 23/696729600],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 39883/348364800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 157189/6688604160],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 12421/2322432000],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 29/8709120],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 241/696729600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 35263/6967296000],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 11/418037760],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 73/116121600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1321/696729600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 257/1567641600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 23/4180377600],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 23/696729600],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 167/154828800],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 907/5573836800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/2764800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 487/3732480000],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1]], 209/1306368000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 8129/1045094400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 421/557383680],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 451/7838208000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 271/1567641600],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 59/2903040000],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 43/1741824000],
[[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1741824000],
[[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1393459200],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 10361/348364800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 22993/6688604160],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 4009/6967296000],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 79/139345920],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2]], 43/10450944000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 217/995328000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 43/1741824000],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 121/3657830400],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/1567641600],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1]], 1/8360755200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1]], 1/1393459200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/66355200],
[[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1]], 13/3265920000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1]], 13/2612736000],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 11/87091200],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 31/2090188800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 76231/20901888000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 2263/11147673600],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 11/326592000],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 11/261273600],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 3889/20901888000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 47/11147673600],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/1119744000],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 1/895795200],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 13/5225472000],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/16721510400],
[[[2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/14400],
[[[2, 3], [4, 1], [6, 2], [8, 1], [14, 1], [18, 1]], 1/6048],
[[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/12096],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/20160],
[[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 11/403200],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/172800],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 2]], 1/6300],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 2]], 1/2700],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2], [14, 1]], 1/31500],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 1/13500],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [14, 1], [18, 1]], 1/5670],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 3], [7, 1], [10, 1]], 1/272160],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 3], [9, 1], [10, 1]], 1/116640],
[[[1, 1], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1], [14, 1]], 1/2940],
[[[1, 1], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1], [18, 1]], 1/3780],
[[[1, 1], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1], [14, 1]], 1/1260],
[[[1, 1], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1], [18, 1]], 1/1620],
[[[1, 1], [2, 2], [3, 1], [6, 1], [10, 2], [12, 1], [14, 1]], 1/25200],
[[[1, 1], [2, 2], [3, 1], [6, 1], [10, 2], [12, 1], [18, 1]], 1/10800],
[[[1, 1], [2, 2], [3, 1], [6, 2], [12, 1], [14, 1], [18, 1]], 1/4536],
[[[1, 1], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1], [14, 1]], 1/30240],
[[[1, 1], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/30240],
[[[1, 1], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [14, 1]], 1/33600],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/14400],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [14, 1], [18, 1]], 1/6048],
[[[1, 1], [2, 2], [5, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/945],
[[[1, 1], [2, 2], [5, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 2], [5, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/2160],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/50400],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/21600],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/28800],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/12096],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/5184],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/11340],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/45360],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/19440],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/18900],
[[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/8100],
[[[1, 1], [2, 4], [3, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/9072],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/15120],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/25920],
[[[1, 1], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/34560],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/41472],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1920],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/1008],
[[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1890],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 1], [2, 4], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/14400],
[[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/51840],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/18144],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/96768],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/41472],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/30240],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/907200],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/388800],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 11/378000],
[[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/162000],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 11/302400],
[[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/129600],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/96768],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/27648],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 23/57600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 17/57600],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/16128],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/20160],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1036800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/193536],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/604800],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/259200],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/691200],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1382400],
[[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/604800],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/230400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/696729600],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/33600],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/14400],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 3], [10, 1], [14, 1]], 1/30240],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1], [10, 1]], 1/945],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1], [10, 1]], 1/31500],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1], [12, 1]], 1/25200],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1], [10, 1]], 1/13500],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1], [12, 1]], 1/10800],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1], [14, 1]], 1/6300],
[[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/2700],
[[[1, 2], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 1/6048],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 2], [7, 1], [10, 1]], 1/30240],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 2], [9, 1], [10, 1]], 1/12960],
[[[1, 2], [2, 1], [3, 2], [5, 1], [7, 1], [10, 1], [12, 1]], 1/5040],
[[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 2], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1], [10, 1]], 1/5670],
[[[1, 2], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1], [12, 1]], 1/4536],
[[[1, 2], [2, 1], [3, 3], [5, 1], [6, 1], [10, 1], [14, 1]], 1/272160],
[[[1, 2], [2, 1], [3, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 1/116640],
[[[1, 2], [2, 1], [5, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/2940],
[[[1, 2], [2, 1], [5, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/1260],
[[[1, 2], [2, 1], [5, 1], [6, 1], [9, 1], [10, 1], [14, 1]], 1/3780],
[[[1, 2], [2, 1], [5, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/1620],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/108000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [14, 1]], 1/45360],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/19440],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/24000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/16800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [18, 1]], 1/21600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/36000],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 1/28800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/12600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/10800],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/23040],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 1/21600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 5/9072],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/435456],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 1/186624],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 5/48384],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 5/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/9072],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3888],
[[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/4704],
[[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [18, 1]], 1/6048],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/2016],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/3780],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/15120],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/6480],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 221/302400],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 17/16200],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/3888],
[[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 2], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [5, 1], [10, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/7200],
[[[1, 2], [2, 3], [3, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/15120],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/6480],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 7/86400],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 37/933120],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/115200],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/7056],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/115200],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/3024],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/3888],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/15120],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 1/12096],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/48384],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/6480],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 19/60480],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/1620],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/207360],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/435456],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/186624],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/544320],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/233280],
[[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/77760],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/4800],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 3/4480],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/840],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/24000],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/19200],
[[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/4800],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/4704],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/2016],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/5880],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/2520],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 11/12096],
[[[1, 2], [2, 3], [4, 1], [6, 1], [9, 1], [10, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 3], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/5760],
[[[1, 2], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/3360],
[[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/3360],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 37/108000],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/30240],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/19440],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/77760],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/10368],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/80640],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/11200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/72000],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 23/230400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 7/86400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 5/18144],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/72576],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/31104],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1512],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 31/41472],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 23/40320],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/1296],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/15552],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 17/69120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 5/31104],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/4860],
[[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/20160],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/16128],
[[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 13/138240],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/3584],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/61440],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/60480],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2160],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/32400],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 13/103680],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/12960],
[[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 77/311040],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/30240],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/24192],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 29/276480],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/622080],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 13/80640],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/103680],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5120],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 9/8960],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 7/6912],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/86400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/777600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/207360],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 17/432000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/288000],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1451520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/622080],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 43/201600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 17/259200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/622080],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 77/276480],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 11/259200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/230400],
[[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 23/230400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3628800],
[[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/12441600],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 11/1382400],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 47/1612800],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/691200],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 11/230400],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/7257600],
[[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 193/129024000],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 53/2764800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/5806080],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 23/14515200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [7, 1]], 1/544320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [9, 1]], 1/233280],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/77760],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/5880],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [18, 1]], 1/7560],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/24000],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/2520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [18, 1]], 1/3240],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/12600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/10800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 7/86400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/16800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 2]], 1/21600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/7056],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/115200],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [14, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/3888],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/435456],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 1/186624],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [14, 1]], 1/48384],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 11/12096],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/4704],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 1/19200],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/53760],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/2240],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/3240],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 19/60480],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/1620],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/3360],
[[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [5, 1], [10, 1], [12, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/7200],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/3780],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/3024],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/36000],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/15120],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/6480],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/3240],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/108000],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 1/21600],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 5/9072],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/28800],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 221/302400],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/15120],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 17/16200],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/6480],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/15120],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/12096],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 37/933120],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 5/48384],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 1/45360],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/9072],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 5/20736],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 1/435456],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/186624],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/19440],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3888],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3888],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [9, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/207360],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/840],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/1440],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 3/4480],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/24000],
[[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/19200],
[[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/4704],
[[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/2016],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1], [14, 1]], 1/6048],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/53760],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/23040],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 2], [5, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 17/24000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/90720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/38880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/6480],
[[[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]], 197/777600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 37/134400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 17/57600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 31/50400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 139/216000],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/3528],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 47/230400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/18144],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/9600],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 11/36288],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/2520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 5/15552],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 29/32256],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 55/41472],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 59/120960],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 7/34560],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 5/31104],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/2160],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 37/153600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1600],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 11/32256],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/40320],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 5/8064],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 17/46080],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 7/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 13/20160],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 7/25920],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 127/100800],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 77/129600],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 7/17280],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/7560],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 361/518400],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/17280],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 25/41472],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 31/96768],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/30240],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/24192],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 7/46080],
[[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 11/69120],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/138240],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 131/466560],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/311040],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/4032],
[[[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]], 1/2880],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/12960],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 283/403200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 41/57600],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 43/138240],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/2240],
[[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 17/26880],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 5/6912],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 77/115200],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1814400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/777600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/13440],
[[[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]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1409/4147200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 109/1152000],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/691200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 61/1451520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/12600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 31/622080],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 89/96768],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 11/41472],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/43200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/15120],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 7/25920],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/10752],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1451/1382400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 37/165888],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 11/230400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 133/460800],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 143/230400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/172800],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1409/10368000],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 29/276480],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/57600],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 49/172800],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/4838400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 57541/1741824000],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 301/1382400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/2903040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/43200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/1890],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/50400],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/21600],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/115200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/19200],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/1008],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/13440],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [10, 1]], 1/161280],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1], [10, 1]], 1/60480],
[[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [10, 1], [12, 1]], 1/10080],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/11340],
[[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/9072],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/60480],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [9, 1]], 1/25920],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 1/5040],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/10080],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2160],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 1/4320],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/28800],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/9072],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/48384],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 1/18900],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 1/15120],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/8100],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/6480],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/45360],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/19440],
[[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/41472],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 1/12096],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/311040],
[[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 139/216000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/30240],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/311040],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 131/466560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 17/26880],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 283/403200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 5/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 41/57600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 47/230400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 17/24000],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/3528],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/18144],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/6048],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 31/96768],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/7560],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/24192],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 25/41472],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/5040],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/40320],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/138240],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 11/69120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 77/115200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 5/8064],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 11/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/32256],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 7/46080],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 127/100800],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 77/129600],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 13/20160],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 7/25920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 59/120960],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 361/518400],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 43/138240],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 29/32256],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/10080],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 55/41472],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 11/36288],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 5/15552],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/6480],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/90720],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/38880],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 17/46080],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 37/153600],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 7/27648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 7/17280],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 7/34560],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 197/777600],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/12960],
[[[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]], 5/31104],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 31/50400],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/2160],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 37/134400],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 17/57600],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 7/46080],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/4032],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/120960],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/51840],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 13/40320],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 11/41472],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 283/248832],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 143/193536],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/2688],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/96768],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 7/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 47/32256],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 11/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 5/32256],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 61/55296],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 7/18432],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 41/69120],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 379/460800],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 5/4608],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/27648],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 31/92160],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 377/414720],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 269/829440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/55296],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 79/115200],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 49/1036800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 74669/248832000],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 211/276480],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/72000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/40320],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/622080],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 9/8960],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 13/80640],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 7/6912],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 11/103680],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 23/230400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 37/108000],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 7/86400],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 5/18144],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/24192],
[[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/4032],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/8640],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 29/276480],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/3584],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/61440],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2160],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/6048],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 7/32400],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/12960],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/60480],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 23/40320],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/1296],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 77/311040],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1512],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/30240],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/12096],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 31/41472],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/72576],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/31104],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/19440],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/15552],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 13/138240],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 13/103680],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 17/69120],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/4860],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/77760],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 5/31104],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/11200],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/20160],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/8640],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/80640],
[[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/20160],
[[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/16128],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 269/829440],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 377/414720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 79/115200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 47/32256],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 13/40320],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 5/32256],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 11/20736],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 143/193536],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 7/20736],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/120960],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/51840],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/96768],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 31/92160],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/55296],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 5/4608],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 379/460800],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 41/69120],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 61/55296],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 283/248832],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 11/41472],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 7/18432],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 3799/8294400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1219/1296000],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 541/552960],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 23/57600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/20160],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 17/57600],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/230400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/14400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/18144],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/96768],
[[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/16128],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/184320],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 11/378000],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 11/302400],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/162000],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/129600],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/907200],
[[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/388800],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/30240],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/96768],
[[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/51840],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/15120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 7/25920],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/12600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/43200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 29/276480],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1409/10368000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 49/172800],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 89/96768],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/10752],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 11/41472],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 61/1451520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 31/622080],
[[[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]], 1/41472],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1814400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/777600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 143/230400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 133/460800],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 7/138240],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/172800],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1451/1382400],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1409/4147200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 37/165888],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 109/1152000],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/230400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/691200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 541/552960],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1219/1296000],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 3799/8294400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 43/201600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 17/259200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 11/1382400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/12441600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 47/1612800],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 11/230400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/691200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/6048],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/86400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1451520],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/622080],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 1/777600],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/622080],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 23/230400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3628800],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 77/276480],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 17/432000],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 11/259200],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/207360],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/41472],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/288000],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/230400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 211/276480],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 74669/248832000],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 49/1036800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/604800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/259200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1382400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/604800],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/230400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/193536],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/691200],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1036800],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 301/1382400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 57541/1741824000],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/43200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/4838400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/2903040],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 53/2764800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 193/129024000],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 23/14515200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/7257600],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/5806080],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2764800],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/696729600],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/5040],
[[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/2160],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/6720],
[[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/5040],
[[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/2160],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/2520],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2160],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/5600],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2400],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/10080],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 73/115200],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/5600],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/10080],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/10080],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/2520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/10080],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4608],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 199/115200],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/4320],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 199/115200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 73/115200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520]
]}