{[
[[[1, 25]], 1/294967443456000],
[[[2, 25]], 1/294967443456000],
[[[1, 1], [2, 24]], 1/3932899246080],
[[[1, 2], [2, 23]], 67/8193540096000],
[[[1, 3], [2, 22]], 1817/12290310144000],
[[[1, 4], [2, 21]], 489133/294967443456000],
[[[1, 5], [2, 20]], 56389/4682022912000],
[[[1, 6], [2, 19]], 337/5852528640],
[[[1, 7], [2, 18]], 106279/585252864000],
[[[1, 7], [3, 9]], 1/725760],
[[[1, 7], [7, 3]], 1/790272],
[[[1, 8], [2, 17]], 117419/312134860800],
[[[1, 9], [2, 16]], 32029/62426972160],
[[[1, 9], [3, 8]], 1/362880],
[[[1, 10], [2, 15]], 37837/78033715200],
[[[1, 11], [2, 14]], 59/154828800],
[[[1, 11], [3, 7]], 1/419904],
[[[1, 12], [2, 13]], 131/557383680],
[[[1, 13], [2, 12]], 131/557383680],
[[[1, 13], [3, 6]], 25/13436928],
[[[1, 13], [5, 3]], 1/2304000],
[[[1, 13], [7, 2]], 1/189665280],
[[[1, 14], [2, 11]], 59/154828800],
[[[1, 15], [2, 10]], 37837/78033715200],
[[[1, 15], [3, 5]], 331/627056640],
[[[1, 16], [2, 9]], 32029/62426972160],
[[[1, 17], [2, 8]], 117419/312134860800],
[[[1, 17], [3, 4]], 487/7524679680],
[[[1, 17], [5, 2]], 1/387072000],
[[[1, 18], [2, 7]], 106279/585252864000],
[[[1, 19], [2, 6]], 337/5852528640],
[[[1, 19], [3, 3]], 3421/1053455155200],
[[[1, 19], [7, 1]], 1/136559001600],
[[[1, 20], [2, 5]], 56389/4682022912000],
[[[1, 21], [2, 4]], 489133/294967443456000],
[[[1, 21], [3, 2]], 53/702303436800],
[[[1, 21], [4, 2]], 1/24580620288000],
[[[1, 21], [5, 1]], 1/195084288000],
[[[1, 22], [2, 3]], 1817/12290310144000],
[[[1, 23], [2, 2]], 67/8193540096000],
[[[1, 23], [3, 1]], 121/147483721728000],
[[[1, 24], [2, 1]], 1/3932899246080],
[[[2, 7], [6, 9]], 1/725760],
[[[2, 7], [14, 3]], 1/790272],
[[[2, 9], [6, 8]], 1/362880],
[[[2, 11], [6, 7]], 1/419904],
[[[2, 13], [6, 6]], 25/13436928],
[[[2, 13], [10, 3]], 1/2304000],
[[[2, 13], [14, 2]], 1/189665280],
[[[2, 15], [6, 5]], 331/627056640],
[[[2, 17], [6, 4]], 487/7524679680],
[[[2, 17], [10, 2]], 1/387072000],
[[[2, 19], [6, 3]], 3421/1053455155200],
[[[2, 19], [14, 1]], 1/136559001600],
[[[2, 21], [4, 2]], 1/24580620288000],
[[[2, 21], [6, 2]], 53/702303436800],
[[[2, 21], [10, 1]], 1/195084288000],
[[[2, 23], [6, 1]], 121/147483721728000],
[[[1, 1], [2, 6], [14, 3]], 1/65856],
[[[1, 1], [2, 8], [6, 8]], 1/120960],
[[[1, 1], [2, 12], [6, 6]], 13/1119744],
[[[1, 1], [2, 12], [10, 3]], 1/153600],
[[[1, 1], [2, 12], [14, 2]], 11/63221760],
[[[1, 1], [2, 14], [6, 5]], 103/14929920],
[[[1, 1], [2, 16], [6, 4]], 115/83607552],
[[[1, 1], [2, 16], [10, 2]], 1/11059200],
[[[1, 1], [2, 18], [4, 3]], 1/39016857600],
[[[1, 1], [2, 18], [6, 3]], 383/3583180800],
[[[1, 1], [2, 18], [14, 1]], 1/2528870400],
[[[1, 1], [2, 20], [4, 2]], 1/390168576000],
[[[1, 1], [2, 20], [6, 2]], 817/234101145600],
[[[1, 1], [2, 20], [10, 1]], 11/39016857600],
[[[1, 1], [2, 22], [4, 1]], 13/5462360064000],
[[[1, 1], [2, 22], [6, 1]], 29/585252864000],
[[[1, 2], [2, 5], [14, 3]], 1/43904],
[[[1, 2], [2, 11], [6, 6]], 5/746496],
[[[1, 2], [2, 11], [10, 3]], 19/768000],
[[[1, 2], [2, 11], [14, 2]], 25/12644352],
[[[1, 2], [2, 13], [6, 5]], 53/1990656],
[[[1, 2], [2, 15], [4, 4]], 1/185794560],
[[[1, 2], [2, 15], [6, 4]], 487/46448640],
[[[1, 2], [2, 15], [10, 2]], 221/193536000],
[[[1, 2], [2, 17], [4, 3]], 1/867041280],
[[[1, 2], [2, 17], [6, 3]], 22297/16721510400],
[[[1, 2], [2, 17], [14, 1]], 391/45519667200],
[[[1, 2], [2, 19], [4, 2]], 29/43352064000],
[[[1, 2], [2, 19], [6, 2]], 719/11147673600],
[[[1, 2], [2, 19], [10, 1]], 409/65028096000],
[[[1, 2], [2, 21], [3, 1]], 1/9217732608000],
[[[1, 2], [2, 21], [4, 1]], 107/780337152000],
[[[1, 2], [2, 21], [6, 1]], 1/802816000],
[[[1, 3], [2, 4], [7, 3]], 1/790272],
[[[1, 3], [2, 4], [14, 3]], 1/65856],
[[[1, 3], [2, 10], [6, 6]], 1/1119744],
[[[1, 3], [2, 10], [10, 3]], 103/2304000],
[[[1, 3], [2, 10], [14, 2]], 13/1404928],
[[[1, 3], [2, 12], [4, 5]], 1/2654208],
[[[1, 3], [2, 12], [6, 5]], 41/1492992],
[[[1, 3], [2, 14], [4, 4]], 1/6881280],
[[[1, 3], [2, 14], [6, 4]], 4787/139345920],
[[[1, 3], [2, 14], [10, 2]], 47/7168000],
[[[1, 3], [2, 16], [4, 3]], 233/2786918400],
[[[1, 3], [2, 16], [6, 3]], 2539/313528320],
[[[1, 3], [2, 16], [14, 1]], 11/113799168],
[[[1, 3], [2, 18], [4, 2]], 9887/390168576000],
[[[1, 3], [2, 18], [6, 2]], 144509/234101145600],
[[[1, 3], [2, 18], [10, 1]], 1597/21676032000],
[[[1, 3], [2, 20], [3, 1]], 1/146313216000],
[[[1, 3], [2, 20], [4, 1]], 2537/780337152000],
[[[1, 3], [2, 20], [6, 1]], 829/48771072000],
[[[1, 3], [3, 5], [9, 2]], 1/2592],
[[[1, 3], [4, 2], [7, 3]], 1/65856],
[[[1, 4], [2, 3], [7, 3]], 1/65856],
[[[1, 4], [2, 3], [14, 3]], 1/790272],
[[[1, 4], [2, 9], [6, 6]], 1/13436928],
[[[1, 4], [2, 9], [10, 3]], 103/2304000],
[[[1, 4], [2, 9], [14, 2]], 3403/189665280],
[[[1, 4], [2, 11], [4, 5]], 1/294912],
[[[1, 4], [2, 11], [6, 5]], 199/17915904],
[[[1, 4], [2, 13], [4, 4]], 1/276480],
[[[1, 4], [2, 13], [6, 4]], 14597/313528320],
[[[1, 4], [2, 13], [10, 2]], 911/48384000],
[[[1, 4], [2, 15], [4, 3]], 1579/928972800],
[[[1, 4], [2, 15], [6, 3]], 380791/15049359360],
[[[1, 4], [2, 15], [14, 1]], 41549/68279500800],
[[[1, 4], [2, 17], [4, 2]], 103/265420800],
[[[1, 4], [2, 17], [6, 2]], 1168637/351151718400],
[[[1, 4], [2, 17], [10, 1]], 48149/97542144000],
[[[1, 4], [2, 19], [3, 1]], 13/73156608000],
[[[1, 4], [2, 19], [4, 1]], 32209/780337152000],
[[[1, 4], [2, 19], [6, 1]], 194041/1404606873600],
[[[1, 5], [2, 2], [7, 3]], 1/43904],
[[[1, 5], [2, 8], [10, 3]], 19/768000],
[[[1, 5], [2, 8], [14, 2]], 151/9031680],
[[[1, 5], [2, 10], [4, 5]], 7/294912],
[[[1, 5], [2, 10], [6, 5]], 7/2985984],
[[[1, 5], [2, 12], [4, 4]], 83/3096576],
[[[1, 5], [2, 12], [6, 4]], 1811/59719680],
[[[1, 5], [2, 12], [10, 2]], 419/13824000],
[[[1, 5], [2, 14], [4, 3]], 311/23224320],
[[[1, 5], [2, 14], [6, 3]], 965/23887872],
[[[1, 5], [2, 14], [14, 1]], 3551/1625702400],
[[[1, 5], [2, 16], [4, 2]], 5531/1857945600],
[[[1, 5], [2, 16], [6, 2]], 172759/16721510400],
[[[1, 5], [2, 16], [10, 1]], 190691/97542144000],
[[[1, 5], [2, 18], [3, 1]], 181/73156608000],
[[[1, 5], [2, 18], [4, 1]], 71933/234101145600],
[[[1, 5], [2, 18], [6, 1]], 1159/1672151040],
[[[1, 5], [3, 1], [7, 3]], 1/24696],
[[[1, 5], [3, 4], [9, 2]], 1/1296],
[[[1, 5], [3, 7], [9, 1]], 1/10368],
[[[1, 6], [2, 1], [7, 3]], 1/65856],
[[[1, 6], [2, 7], [5, 3]], 1/2304000],
[[[1, 6], [2, 7], [7, 2]], 1/1806336],
[[[1, 6], [2, 7], [10, 3]], 1/153600],
[[[1, 6], [2, 7], [14, 2]], 13/1806336],
[[[1, 6], [2, 9], [4, 5]], 23/294912],
[[[1, 6], [2, 9], [6, 5]], 1/5971968],
[[[1, 6], [2, 11], [4, 4]], 6017/61931520],
[[[1, 6], [2, 11], [6, 4]], 131/11943936],
[[[1, 6], [2, 11], [10, 2]], 1111/38707200],
[[[1, 6], [2, 13], [4, 3]], 2329/46448640],
[[[1, 6], [2, 13], [6, 3]], 11717/334430208],
[[[1, 6], [2, 13], [14, 1]], 14513/3251404800],
[[[1, 6], [2, 15], [4, 2]], 69157/5573836800],
[[[1, 6], [2, 15], [6, 2]], 308681/16721510400],
[[[1, 6], [2, 15], [10, 1]], 1441/309657600],
[[[1, 6], [2, 17], [3, 1]], 1/49766400],
[[[1, 6], [2, 17], [4, 1]], 36133/26011238400],
[[[1, 6], [2, 17], [6, 1]], 7921/3657830400],
[[[1, 7], [2, 6], [5, 3]], 1/153600],
[[[1, 7], [2, 6], [7, 2]], 13/1806336],
[[[1, 7], [2, 6], [10, 3]], 1/2304000],
[[[1, 7], [2, 6], [14, 2]], 1/1806336],
[[[1, 7], [2, 8], [4, 5]], 5/36864],
[[[1, 7], [2, 10], [4, 4]], 193/983040],
[[[1, 7], [2, 10], [6, 4]], 25/11943936],
[[[1, 7], [2, 10], [10, 2]], 143/9216000],
[[[1, 7], [2, 12], [4, 3]], 57679/557383680],
[[[1, 7], [2, 12], [6, 3]], 527/29859840],
[[[1, 7], [2, 12], [14, 1]], 107/20321280],
[[[1, 7], [2, 14], [4, 2]], 2011/68812800],
[[[1, 7], [2, 14], [6, 2]], 21641/1114767360],
[[[1, 7], [2, 14], [8, 1]], 1/406425600],
[[[1, 7], [2, 14], [10, 1]], 4519/663552000],
[[[1, 7], [2, 16], [3, 1]], 17/174182400],
[[[1, 7], [2, 16], [4, 1]], 300257/78033715200],
[[[1, 7], [2, 16], [6, 1]], 8789/2090188800],
[[[1, 7], [3, 3], [7, 2]], 1/21168],
[[[1, 7], [3, 6], [9, 1]], 1/5184],
[[[1, 7], [3, 7], [6, 2]], 1/725760],
[[[1, 7], [3, 7], [12, 1]], 1/120960],
[[[1, 8], [2, 1], [3, 8]], 1/120960],
[[[1, 8], [2, 5], [5, 3]], 19/768000],
[[[1, 8], [2, 5], [7, 2]], 151/9031680],
[[[1, 8], [2, 7], [4, 5]], 5/36864],
[[[1, 8], [2, 9], [4, 4]], 29/110592],
[[[1, 8], [2, 9], [5, 2]], 1/3686400],
[[[1, 8], [2, 9], [6, 4]], 1/7962624],
[[[1, 8], [2, 9], [10, 2]], 1/245760],
[[[1, 8], [2, 11], [4, 3]], 1321/8847360],
[[[1, 8], [2, 11], [6, 3]], 6217/1114767360],
[[[1, 8], [2, 11], [14, 1]], 1583/433520640],
[[[1, 8], [2, 13], [4, 2]], 7579/176947200],
[[[1, 8], [2, 13], [6, 2]], 1319/106168320],
[[[1, 8], [2, 13], [8, 1]], 1/19353600],
[[[1, 8], [2, 13], [10, 1]], 11597/1857945600],
[[[1, 8], [2, 15], [3, 1]], 1373/4877107200],
[[[1, 8], [2, 15], [4, 1]], 514169/78033715200],
[[[1, 8], [2, 15], [6, 1]], 797003/156067430400],
[[[1, 9], [2, 4], [3, 6]], 1/13436928],
[[[1, 9], [2, 4], [5, 3]], 103/2304000],
[[[1, 9], [2, 4], [7, 2]], 3403/189665280],
[[[1, 9], [2, 6], [3, 5]], 1/5971968],
[[[1, 9], [2, 6], [4, 5]], 23/294912],
[[[1, 9], [2, 8], [3, 4]], 1/7962624],
[[[1, 9], [2, 8], [4, 4]], 29/110592],
[[[1, 9], [2, 8], [5, 2]], 1/245760],
[[[1, 9], [2, 8], [10, 2]], 1/3686400],
[[[1, 9], [2, 10], [3, 3]], 1/31850496],
[[[1, 9], [2, 10], [4, 3]], 325/1769472],
[[[1, 9], [2, 10], [6, 3]], 11/15925248],
[[[1, 9], [2, 10], [7, 1]], 11/48168960],
[[[1, 9], [2, 10], [14, 1]], 437/216760320],
[[[1, 9], [2, 12], [4, 2]], 189713/3715891200],
[[[1, 9], [2, 12], [6, 2]], 827/148635648],
[[[1, 9], [2, 12], [8, 1]], 1/3870720],
[[[1, 9], [2, 12], [10, 1]], 13/3276800],
[[[1, 9], [2, 14], [3, 1]], 113/232243200],
[[[1, 9], [2, 14], [4, 1]], 131963/17340825600],
[[[1, 9], [2, 14], [6, 1]], 22417/5573836800],
[[[1, 9], [3, 2], [7, 2]], 1/75264],
[[[1, 9], [3, 5], [7, 1]], 1/54432],
[[[1, 9], [3, 6], [4, 2]], 1/1119744],
[[[1, 9], [4, 2], [5, 3]], 1/192000],
[[[1, 9], [4, 2], [7, 2]], 1/15805440],
[[[1, 9], [5, 1], [7, 2]], 1/376320],
[[[1, 10], [2, 3], [3, 6]], 1/1119744],
[[[1, 10], [2, 3], [5, 3]], 103/2304000],
[[[1, 10], [2, 3], [7, 2]], 13/1404928],
[[[1, 10], [2, 5], [3, 5]], 7/2985984],
[[[1, 10], [2, 5], [4, 5]], 7/294912],
[[[1, 10], [2, 7], [3, 4]], 25/11943936],
[[[1, 10], [2, 7], [4, 4]], 193/983040],
[[[1, 10], [2, 7], [5, 2]], 143/9216000],
[[[1, 10], [2, 9], [3, 3]], 11/15925248],
[[[1, 10], [2, 9], [4, 3]], 325/1769472],
[[[1, 10], [2, 9], [6, 3]], 1/31850496],
[[[1, 10], [2, 9], [7, 1]], 437/216760320],
[[[1, 10], [2, 9], [14, 1]], 11/48168960],
[[[1, 10], [2, 11], [3, 2]], 1/21233664],
[[[1, 10], [2, 11], [4, 2]], 1051/20643840],
[[[1, 10], [2, 11], [5, 1]], 11/68812800],
[[[1, 10], [2, 11], [6, 2]], 131/106168320],
[[[1, 10], [2, 11], [8, 1]], 1/3870720],
[[[1, 10], [2, 11], [10, 1]], 139/88473600],
[[[1, 10], [2, 13], [3, 1]], 17/30965760],
[[[1, 10], [2, 13], [4, 1]], 55943/7431782400],
[[[1, 10], [2, 13], [6, 1]], 181/74317824],
[[[1, 11], [2, 2], [3, 6]], 5/746496],
[[[1, 11], [2, 2], [5, 3]], 19/768000],
[[[1, 11], [2, 2], [7, 2]], 25/12644352],
[[[1, 11], [2, 4], [3, 5]], 199/17915904],
[[[1, 11], [2, 4], [4, 5]], 1/294912],
[[[1, 11], [2, 6], [3, 4]], 131/11943936],
[[[1, 11], [2, 6], [4, 4]], 6017/61931520],
[[[1, 11], [2, 6], [5, 2]], 1111/38707200],
[[[1, 11], [2, 8], [3, 3]], 6217/1114767360],
[[[1, 11], [2, 8], [4, 3]], 1321/8847360],
[[[1, 11], [2, 8], [7, 1]], 1583/433520640],
[[[1, 11], [2, 10], [3, 2]], 131/106168320],
[[[1, 11], [2, 10], [4, 2]], 1051/20643840],
[[[1, 11], [2, 10], [5, 1]], 139/88473600],
[[[1, 11], [2, 10], [6, 2]], 1/21233664],
[[[1, 11], [2, 10], [8, 1]], 1/3870720],
[[[1, 11], [2, 10], [10, 1]], 11/68812800],
[[[1, 11], [2, 12], [3, 1]], 325/891813888],
[[[1, 11], [2, 12], [4, 1]], 209/35389440],
[[[1, 11], [2, 12], [6, 1]], 83/92897280],
[[[1, 11], [3, 1], [5, 3]], 1/72000],
[[[1, 11], [3, 1], [7, 2]], 17/31610880],
[[[1, 11], [3, 3], [5, 2]], 1/43200],
[[[1, 11], [3, 4], [7, 1]], 17/1741824],
[[[1, 11], [3, 5], [4, 2]], 1/1492992],
[[[1, 11], [3, 5], [5, 1]], 1/77760],
[[[1, 11], [5, 2], [7, 1]], 1/537600],
[[[1, 12], [2, 1], [3, 6]], 13/1119744],
[[[1, 12], [2, 1], [5, 3]], 1/153600],
[[[1, 12], [2, 1], [7, 2]], 11/63221760],
[[[1, 12], [2, 3], [3, 5]], 41/1492992],
[[[1, 12], [2, 3], [4, 5]], 1/2654208],
[[[1, 12], [2, 5], [3, 4]], 1811/59719680],
[[[1, 12], [2, 5], [4, 4]], 83/3096576],
[[[1, 12], [2, 5], [5, 2]], 419/13824000],
[[[1, 12], [2, 7], [3, 3]], 527/29859840],
[[[1, 12], [2, 7], [4, 3]], 57679/557383680],
[[[1, 12], [2, 7], [7, 1]], 107/20321280],
[[[1, 12], [2, 9], [3, 2]], 827/148635648],
[[[1, 12], [2, 9], [4, 2]], 189713/3715891200],
[[[1, 12], [2, 9], [5, 1]], 13/3276800],
[[[1, 12], [2, 9], [8, 1]], 1/3870720],
[[[1, 12], [2, 11], [3, 1]], 83/92897280],
[[[1, 12], [2, 11], [4, 1]], 209/35389440],
[[[1, 12], [2, 11], [6, 1]], 325/891813888],
[[[1, 13], [2, 2], [3, 5]], 53/1990656],
[[[1, 13], [2, 4], [3, 4]], 14597/313528320],
[[[1, 13], [2, 4], [4, 4]], 1/276480],
[[[1, 13], [2, 4], [5, 2]], 911/48384000],
[[[1, 13], [2, 6], [3, 3]], 11717/334430208],
[[[1, 13], [2, 6], [4, 3]], 2329/46448640],
[[[1, 13], [2, 6], [7, 1]], 14513/3251404800],
[[[1, 13], [2, 8], [3, 2]], 1319/106168320],
[[[1, 13], [2, 8], [4, 2]], 7579/176947200],
[[[1, 13], [2, 8], [5, 1]], 11597/1857945600],
[[[1, 13], [2, 8], [8, 1]], 1/19353600],
[[[1, 13], [2, 10], [3, 1]], 181/74317824],
[[[1, 13], [2, 10], [4, 1]], 55943/7431782400],
[[[1, 13], [2, 10], [6, 1]], 17/30965760],
[[[1, 13], [3, 2], [5, 2]], 1/153600],
[[[1, 13], [3, 3], [7, 1]], 191/121927680],
[[[1, 13], [3, 4], [4, 2]], 37/209018880],
[[[1, 13], [3, 4], [5, 1]], 17/2488320],
[[[1, 13], [4, 2], [5, 2]], 1/32256000],
[[[1, 14], [2, 1], [3, 5]], 103/14929920],
[[[1, 14], [2, 3], [3, 4]], 4787/139345920],
[[[1, 14], [2, 3], [4, 4]], 1/6881280],
[[[1, 14], [2, 3], [5, 2]], 47/7168000],
[[[1, 14], [2, 5], [3, 3]], 965/23887872],
[[[1, 14], [2, 5], [4, 3]], 311/23224320],
[[[1, 14], [2, 5], [7, 1]], 3551/1625702400],
[[[1, 14], [2, 7], [3, 2]], 21641/1114767360],
[[[1, 14], [2, 7], [4, 2]], 2011/68812800],
[[[1, 14], [2, 7], [5, 1]], 4519/663552000],
[[[1, 14], [2, 7], [8, 1]], 1/406425600],
[[[1, 14], [2, 9], [3, 1]], 22417/5573836800],
[[[1, 14], [2, 9], [4, 1]], 131963/17340825600],
[[[1, 14], [2, 9], [6, 1]], 113/232243200],
[[[1, 15], [2, 2], [3, 4]], 487/46448640],
[[[1, 15], [2, 2], [4, 4]], 1/185794560],
[[[1, 15], [2, 2], [5, 2]], 221/193536000],
[[[1, 15], [2, 4], [3, 3]], 380791/15049359360],
[[[1, 15], [2, 4], [4, 3]], 1579/928972800],
[[[1, 15], [2, 4], [7, 1]], 41549/68279500800],
[[[1, 15], [2, 6], [3, 2]], 308681/16721510400],
[[[1, 15], [2, 6], [4, 2]], 69157/5573836800],
[[[1, 15], [2, 6], [5, 1]], 1441/309657600],
[[[1, 15], [2, 8], [3, 1]], 797003/156067430400],
[[[1, 15], [2, 8], [4, 1]], 514169/78033715200],
[[[1, 15], [2, 8], [6, 1]], 1373/4877107200],
[[[1, 15], [3, 1], [5, 2]], 17/64512000],
[[[1, 15], [3, 2], [7, 1]], 71/975421440],
[[[1, 15], [3, 3], [4, 2]], 47/2508226560],
[[[1, 15], [3, 3], [5, 1]], 191/174182400],
[[[1, 15], [4, 2], [7, 1]], 1/11379916800],
[[[1, 15], [5, 1], [7, 1]], 1/135475200],
[[[1, 16], [2, 1], [3, 4]], 115/83607552],
[[[1, 16], [2, 1], [5, 2]], 1/11059200],
[[[1, 16], [2, 3], [3, 3]], 2539/313528320],
[[[1, 16], [2, 3], [4, 3]], 233/2786918400],
[[[1, 16], [2, 3], [7, 1]], 11/113799168],
[[[1, 16], [2, 5], [3, 2]], 172759/16721510400],
[[[1, 16], [2, 5], [4, 2]], 5531/1857945600],
[[[1, 16], [2, 5], [5, 1]], 190691/97542144000],
[[[1, 16], [2, 7], [3, 1]], 8789/2090188800],
[[[1, 16], [2, 7], [4, 1]], 300257/78033715200],
[[[1, 16], [2, 7], [6, 1]], 17/174182400],
[[[1, 17], [2, 2], [3, 3]], 22297/16721510400],
[[[1, 17], [2, 2], [4, 3]], 1/867041280],
[[[1, 17], [2, 2], [7, 1]], 391/45519667200],
[[[1, 17], [2, 4], [3, 2]], 1168637/351151718400],
[[[1, 17], [2, 4], [4, 2]], 103/265420800],
[[[1, 17], [2, 4], [5, 1]], 48149/97542144000],
[[[1, 17], [2, 6], [3, 1]], 7921/3657830400],
[[[1, 17], [2, 6], [4, 1]], 36133/26011238400],
[[[1, 17], [2, 6], [6, 1]], 1/49766400],
[[[1, 17], [3, 1], [7, 1]], 43/34139750400],
[[[1, 17], [3, 2], [4, 2]], 37/58525286400],
[[[1, 17], [3, 2], [5, 1]], 71/1393459200],
[[[1, 17], [4, 2], [5, 1]], 1/16257024000],
[[[1, 18], [2, 1], [3, 3]], 383/3583180800],
[[[1, 18], [2, 1], [4, 3]], 1/39016857600],
[[[1, 18], [2, 1], [7, 1]], 1/2528870400],
[[[1, 18], [2, 3], [3, 2]], 144509/234101145600],
[[[1, 18], [2, 3], [4, 2]], 9887/390168576000],
[[[1, 18], [2, 3], [5, 1]], 1597/21676032000],
[[[1, 18], [2, 5], [3, 1]], 1159/1672151040],
[[[1, 18], [2, 5], [4, 1]], 71933/234101145600],
[[[1, 18], [2, 5], [6, 1]], 181/73156608000],
[[[1, 19], [2, 2], [3, 2]], 719/11147673600],
[[[1, 19], [2, 2], [4, 2]], 29/43352064000],
[[[1, 19], [2, 2], [5, 1]], 409/65028096000],
[[[1, 19], [2, 4], [3, 1]], 194041/1404606873600],
[[[1, 19], [2, 4], [4, 1]], 32209/780337152000],
[[[1, 19], [2, 4], [6, 1]], 13/73156608000],
[[[1, 19], [3, 1], [4, 2]], 1/117050572800],
[[[1, 19], [3, 1], [5, 1]], 43/48771072000],
[[[1, 20], [2, 1], [3, 2]], 817/234101145600],
[[[1, 20], [2, 1], [4, 2]], 1/390168576000],
[[[1, 20], [2, 1], [5, 1]], 11/39016857600],
[[[1, 20], [2, 3], [3, 1]], 829/48771072000],
[[[1, 20], [2, 3], [4, 1]], 2537/780337152000],
[[[1, 20], [2, 3], [6, 1]], 1/146313216000],
[[[1, 21], [2, 2], [3, 1]], 1/802816000],
[[[1, 21], [2, 2], [4, 1]], 107/780337152000],
[[[1, 21], [2, 2], [6, 1]], 1/9217732608000],
[[[1, 22], [2, 1], [3, 1]], 29/585252864000],
[[[1, 22], [2, 1], [4, 1]], 13/5462360064000],
[[[2, 3], [4, 2], [14, 3]], 1/65856],
[[[2, 3], [6, 5], [18, 2]], 1/2592],
[[[2, 5], [6, 1], [14, 3]], 1/24696],
[[[2, 5], [6, 4], [18, 2]], 1/1296],
[[[2, 5], [6, 7], [18, 1]], 1/10368],
[[[2, 7], [3, 2], [6, 7]], 1/725760],
[[[2, 7], [6, 3], [14, 2]], 1/21168],
[[[2, 7], [6, 6], [18, 1]], 1/5184],
[[[2, 7], [6, 7], [12, 1]], 1/120960],
[[[2, 9], [4, 2], [6, 6]], 1/1119744],
[[[2, 9], [4, 2], [10, 3]], 1/192000],
[[[2, 9], [4, 2], [14, 2]], 1/15805440],
[[[2, 9], [6, 2], [14, 2]], 1/75264],
[[[2, 9], [6, 5], [14, 1]], 1/54432],
[[[2, 9], [10, 1], [14, 2]], 1/376320],
[[[2, 11], [4, 2], [6, 5]], 1/1492992],
[[[2, 11], [6, 1], [10, 3]], 1/72000],
[[[2, 11], [6, 1], [14, 2]], 17/31610880],
[[[2, 11], [6, 3], [10, 2]], 1/43200],
[[[2, 11], [6, 4], [14, 1]], 17/1741824],
[[[2, 11], [6, 5], [10, 1]], 1/77760],
[[[2, 11], [10, 2], [14, 1]], 1/537600],
[[[2, 13], [4, 2], [6, 4]], 37/209018880],
[[[2, 13], [4, 2], [10, 2]], 1/32256000],
[[[2, 13], [6, 2], [10, 2]], 1/153600],
[[[2, 13], [6, 3], [14, 1]], 191/121927680],
[[[2, 13], [6, 4], [10, 1]], 17/2488320],
[[[2, 15], [4, 2], [6, 3]], 47/2508226560],
[[[2, 15], [4, 2], [14, 1]], 1/11379916800],
[[[2, 15], [6, 1], [10, 2]], 17/64512000],
[[[2, 15], [6, 2], [14, 1]], 71/975421440],
[[[2, 15], [6, 3], [10, 1]], 191/174182400],
[[[2, 15], [10, 1], [14, 1]], 1/135475200],
[[[2, 17], [4, 2], [6, 2]], 37/58525286400],
[[[2, 17], [4, 2], [10, 1]], 1/16257024000],
[[[2, 17], [6, 1], [14, 1]], 43/34139750400],
[[[2, 17], [6, 2], [10, 1]], 71/1393459200],
[[[2, 19], [4, 2], [6, 1]], 1/117050572800],
[[[2, 19], [6, 1], [10, 1]], 43/48771072000],
[[[1, 1], [2, 4], [4, 1], [14, 3]], 1/10976],
[[[1, 1], [2, 4], [6, 4], [18, 2]], 1/432],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 1/34560],
[[[1, 1], [2, 6], [3, 3], [6, 6]], 1/34560],
[[[1, 1], [2, 6], [4, 3], [14, 2]], 1/75264],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 1/1728],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 1/15120],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 1/64000],
[[[1, 1], [2, 8], [4, 2], [14, 2]], 1/752640],
[[[1, 1], [2, 8], [4, 3], [6, 5]], 1/248832],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 5/56448],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 13/376320],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 1/46656],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1/62208],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 1/32000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 47/31610880],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 1/248832],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 1/248832],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 1/153600],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 1/24000],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 23/2257920],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 1/21600],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 1/16128],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 1/77760],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 1/38400],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 17/1492992],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 5/331776],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 11/4976640],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 23/32256000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 179/139345920],
[[[1, 1], [2, 12], [4, 3], [14, 1]], 1/27095040],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 13/230400],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 1/46080],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 25/497664],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 191/104509440],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 1/207360],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 47/64512000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 53/139345920],
[[[1, 1], [2, 14], [4, 2], [14, 1]], 1/270950400],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 41/278691840],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 1/38707200],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 89/16128000],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 17/9031680],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 2837/174182400],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 17/67737600],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 71/836075520],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 341/557383680],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 41/11379916800],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 59/2786918400],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 43/16257024000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 71/19508428800],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 1/20070400],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 1907/1393459200],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 43/29262643200],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 67/2601123840],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 41/16257024000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 1/2438553600],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 109/3048192000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/117050572800],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 11/26011238400],
[[[1, 1], [3, 3], [7, 1], [21, 1]], 1/1008],
[[[1, 2], [2, 3], [3, 1], [14, 3]], 1/24696],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 1/6912],
[[[1, 2], [2, 5], [3, 4], [6, 5]], 1/6912],
[[[1, 2], [2, 5], [4, 3], [14, 2]], 1/25088],
[[[1, 2], [2, 5], [7, 1], [14, 2]], 1/9408],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 1/5670],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 1/2160],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 1/64000],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 13/150528],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 1/165888],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 1/16128],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 1/12544],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 1/419904],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/72000],
[[[1, 2], [2, 9], [3, 1], [14, 2]], 1/5927040],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 1/15552],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 3/32000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 37/1505280],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 7/165888],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 1/55296],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 1/30720],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 5/663552],
[[[1, 2], [2, 9], [4, 4], [14, 1]], 1/258048],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 47/903168],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 1/43200],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 11/290304],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 43/537600],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 83/1119744],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 1/55296],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 19/248832],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 35/663552],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 11/252000],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 7/552960],
[[[1, 2], [2, 11], [4, 3], [14, 1]], 1/1128960],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 47/15482880],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 1/368640],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 19/153600],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 103/1161216],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 29/414720],
[[[1, 2], [2, 11], [7, 1], [14, 1]], 1/6773760],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 4043/156764160],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 1/12096000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 17/23224320],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 523/9953280],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 871/64512000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 11/573440],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 163/270950400],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 5/2064384],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 1/1548288],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 37/92897280],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 1153/32256000],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 1/60480],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 641/8294400],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 17/5644800],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 845/376233984],
[[[1, 2], [2, 15], [3, 1], [14, 1]], 1/4267468800],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 1/139345920],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 193/17418240],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 1/7526400],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 571/232243200],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 41/96768000],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 17/154828800],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 151/203212800],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 499/38707200],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 5251/87787929600],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 1/6096384000],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 857/1114767360],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 1553/16257024000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 1003/13005619200],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 1289/2322432000],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 17/35115171840],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 143/7803371520],
[[[1, 3], [2, 2], [6, 1], [7, 3]], 1/24696],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 1/6912],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 1/6912],
[[[1, 3], [2, 4], [7, 1], [14, 2]], 1/1568],
[[[1, 3], [2, 4], [7, 2], [14, 1]], 1/9408],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 1/1080],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 1/864],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 1/192000],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 37/150528],
[[[1, 3], [2, 6], [4, 5], [6, 3]], 1/331776],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 1/56448],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 1/12544],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 1/24000],
[[[1, 3], [2, 8], [3, 1], [14, 2]], 1/282240],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 1/46656],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 1/15552],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 3/32000],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 5/50176],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 25/497664],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 7/153600],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 1/36864],
[[[1, 3], [2, 8], [4, 4], [14, 1]], 1/43008],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 1/221184],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 1/72000],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 17/225792],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 1/145152],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 1/8960],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 41/746496],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 49/373248],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 1/497664],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 17/497664],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 193/995328],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 1/645120],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 79/384000],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 367/3981312],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 19/645120],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 17/737280],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 7/368640],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 1/442368],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 13/115200],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 29/290304],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 13/414720],
[[[1, 3], [2, 10], [7, 1], [14, 1]], 1/250880],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 1633/14929920],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 23/12096000],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 107/6967296],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 329/1990656],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 4751/64512000],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 3097/19906560],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 125/10838016],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 511/13271040],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 1/2580480],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 137/6451200],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 13/2580480],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 107/1152000],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 1651/27095040],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 73/552960],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 71/4515840],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 1061/52254720],
[[[1, 3], [2, 14], [3, 1], [14, 1]], 1/101606400],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 23/83607552],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 1237/17418240],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 61/33868800],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 5/145152],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 137/16128000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 3307/696729600],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 43/8128512],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 2099/38707200],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 193/209018880],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 43/6096384000],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 1/3657830400],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 59/6967296],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 131/96768000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 2701/1393459200],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 613/145152000],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 1/14631321600],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 1301/117050572800],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 24329/78033715200],
[[[1, 3], [3, 2], [7, 1], [21, 1]], 1/504],
[[[1, 3], [3, 3], [6, 2], [9, 2]], 1/2592],
[[[1, 3], [3, 3], [9, 2], [12, 1]], 1/432],
[[[1, 3], [3, 5], [5, 1], [15, 1]], 1/1440],
[[[1, 4], [2, 1], [3, 4], [9, 2]], 1/432],
[[[1, 4], [2, 1], [4, 1], [7, 3]], 1/10976],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 1/6912],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 1/6912],
[[[1, 4], [2, 3], [7, 1], [14, 2]], 1/9408],
[[[1, 4], [2, 3], [7, 2], [14, 1]], 1/1568],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 1/864],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 1/864],
[[[1, 4], [2, 5], [5, 1], [7, 2]], 1/376320],
[[[1, 4], [2, 5], [6, 2], [14, 2]], 1/677376],
[[[1, 4], [2, 5], [10, 1], [14, 2]], 13/376320],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 1/24000],
[[[1, 4], [2, 7], [3, 1], [14, 2]], 1/56448],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 1/7776],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 1/5184],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 1/32000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 17/150528],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 1/3072],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 1/51200],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 5/221184],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 1/12288],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 1/73728],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 127/2709504],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 1/1741824],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 43/537600],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 5/373248],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 49/248832],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 1/13824],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 1/248832],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 13/221184],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 1/30720],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 29/102400],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 37/165888],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 5/32256],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 41/442368],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 1/12288],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 3/40960],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 1/73728],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 67/1382400],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 163/3483648],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 13/2488320],
[[[1, 4], [2, 9], [7, 1], [14, 1]], 29/846720],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 103/746496],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 37/3024000],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 2197/23224320],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 1/1451520],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 5/36864],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 1/1935360],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 169/1024000],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 127/331776],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 13/184320],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 313/1474560],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 71/7741440],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 119/921600],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 11/276480],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 169/1382400],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 15137/162570240],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 511/4976640],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 2579/67737600],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 16393/209018880],
[[[1, 4], [2, 13], [3, 1], [14, 1]], 31/203212800],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 527/139345920],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 335/1741824],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 17/1505280],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 1097/6193152],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 1/3870720],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 4447/77414400],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 299/6193152],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 1/9676800],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 9293/487710720],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 25043/232243200],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 1/69672960],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 7177/1045094400],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 11/96768000],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 1/87091200],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 1549/34836480],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 887/96768000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 5653/309657600],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 11873/696729600],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 1/325140480],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 61/457228800],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 2189/812851200],
[[[1, 5], [2, 2], [3, 5], [6, 4]], 1/6912],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 1/6912],
[[[1, 5], [2, 2], [4, 3], [7, 2]], 1/25088],
[[[1, 5], [2, 2], [7, 2], [14, 1]], 1/9408],
[[[1, 5], [2, 4], [3, 2], [7, 2]], 1/677376],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 1/864],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 1/864],
[[[1, 5], [2, 4], [5, 1], [7, 2]], 13/376320],
[[[1, 5], [2, 4], [10, 1], [14, 2]], 1/376320],
[[[1, 5], [2, 6], [3, 1], [7, 2]], 1/903168],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 1/72000],
[[[1, 5], [2, 6], [3, 1], [14, 2]], 1/56448],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 1/2592],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 7/15552],
[[[1, 5], [2, 6], [4, 1], [7, 2]], 1/301056],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 37/903168],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 1/1024],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 1/21504],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 1/10752],
[[[1, 5], [2, 6], [5, 2], [7, 1]], 1/537600],
[[[1, 5], [2, 6], [6, 1], [14, 2]], 1/64512],
[[[1, 5], [2, 6], [10, 2], [14, 1]], 1/38400],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 1/1492992],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 43/124416],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 31/82944],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 1/2985984],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 1/165888],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 5/18432],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 37/307200],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 109/1327104],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 73/258048],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 59/442368],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 17/36864],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 1/8192],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 7/147456],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 7/19200],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 7/691200],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 1/82944],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 1/2488320],
[[[1, 5], [2, 8], [7, 1], [14, 1]], 1/8960],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 73/995328],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 1/36000],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 193/829440],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 1/69120],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 127/2985984],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 1/92160],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 331/1843200],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 299/1327104],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 29/172032],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 373/884736],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 151/1290240],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 113/368640],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 17/110592],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 5/55296],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 89/1290240],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 41/995328],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 3287/67737600],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 41/34836480],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 54707/418037760],
[[[1, 5], [2, 12], [3, 1], [14, 1]], 11/10160640],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 1073/46448640],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 177151/836075520],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 5657/162570240],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 787/2064384],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 13/1935360],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 617/3686400],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 6037/30965760],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 1/358400],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 269/7741440],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 26351/232243200],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 1/2580480],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 10991/418037760],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 251/290304000],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 31/174182400],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 197053/1672151040],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 1/23224320],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 7493/232243200],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 7501/92897280],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 41/1088640],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 37/696729600],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 3539/3901685760],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 1504507/117050572800],
[[[1, 5], [3, 2], [4, 2], [7, 2]], 1/56448],
[[[1, 5], [3, 4], [5, 1], [15, 1]], 1/720],
[[[1, 5], [3, 5], [6, 2], [9, 1]], 1/10368],
[[[1, 5], [3, 5], [9, 1], [12, 1]], 1/1728],
[[[1, 5], [4, 2], [5, 1], [7, 2]], 1/31360],
[[[1, 6], [2, 1], [3, 6], [6, 3]], 1/34560],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 1/1728],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 1/34560],
[[[1, 6], [2, 1], [4, 3], [7, 2]], 1/75264],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 1/56448],
[[[1, 6], [2, 3], [3, 3], [4, 5]], 1/331776],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 1/864],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 1/1080],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 1/192000],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 37/150528],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 1/12544],
[[[1, 6], [2, 5], [3, 1], [7, 2]], 1/64512],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 7/15552],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 1/2592],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 37/903168],
[[[1, 6], [2, 5], [4, 1], [14, 2]], 1/301056],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 1/1024],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 1/10752],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 1/21504],
[[[1, 6], [2, 5], [5, 2], [7, 1]], 1/38400],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 1/72000],
[[[1, 6], [2, 5], [6, 1], [7, 2]], 1/56448],
[[[1, 6], [2, 5], [6, 1], [14, 2]], 1/903168],
[[[1, 6], [2, 5], [10, 2], [14, 1]], 1/537600],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 1/36864],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 19/165888],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 1/3981312],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 253/497664],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 1/1990656],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 1/2048],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 1/331776],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 1/16128],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 1/5376],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 1/30720],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 5/55296],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 1/1024],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 1/10240],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 1/18432],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 7/19200],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 1/19200],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 1/1382400],
[[[1, 6], [2, 7], [6, 3], [14, 1]], 1/1161216],
[[[1, 6], [2, 7], [7, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 1/27648],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 25/497664],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 1/38400],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 245/663552],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 1/13824],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 5/663552],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 1/18432],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 179/1843200],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 385/3981312],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 1327/7741440],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 239/884736],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 109/184320],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 121/368640],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 251/884736],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 107/2764800],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 11/387072],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 1/110592],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 3/89600],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 7/552960],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 1171/9953280],
[[[1, 6], [2, 11], [3, 1], [14, 1]], 1/276480],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 709/9289728],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 89/829440],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 143/2709504],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 5209/15482880],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 41/645120],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 329/1382400],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 527/1474560],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 29/1209600],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 23/677376],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 377/5529600],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 1/276480],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 2477/46448640],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 191/58060800],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 1/725760],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 9689/61931520],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 47/38707200],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 14237/232243200],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 2845/15925248],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 1241/25804800],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 313/696729600],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 5003/1393459200],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 4601/132710400],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 1/16128],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 1/165888],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 1/2160],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 1/5670],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 1/64000],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 13/150528],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 1/12544],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 127/2709504],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 1/73728],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 5/221184],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 1/5184],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 1/1741824],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 1/7776],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 1/32000],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 17/150528],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 1/51200],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 1/3072],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 1/12288],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 43/537600],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 1/24000],
[[[1, 7], [2, 4], [6, 1], [7, 2]], 1/56448],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 1/18432],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 5/55296],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 1/1382400],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 1/331776],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 253/497664],
[[[1, 7], [2, 6], [3, 3], [7, 1]], 1/1161216],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 1/1990656],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 19/165888],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 1/2048],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 1/3981312],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 1/5376],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 1/16128],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 1/10240],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 1/1024],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 1/30720],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 1/36864],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 1/19200],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 7/19200],
[[[1, 7], [2, 6], [7, 1], [14, 1]], 1/8064],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 35/221184],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 1/1843200],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 1/995328],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 1/115200],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 1/884736],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 91/331776],
[[[1, 7], [2, 8], [3, 2], [7, 1]], 1/3096576],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 1/2654208],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 121/663552],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 1/614400],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 1/1990656],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 1/18432],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 43/1843200],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 1/147456],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 143/5160960],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 383/2580480],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 1/23040],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 389/2654208],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 5/4096],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 1/5760],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 5/18432],
[[[1, 7], [2, 8], [5, 1], [7, 1]], 1/1290240],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 1/115200],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 13/2322432],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 1/1658880],
[[[1, 7], [2, 8], [8, 1], [14, 1]], 1/564480],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 1/92160],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 1/12288],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 115/995328],
[[[1, 7], [2, 10], [3, 1], [14, 1]], 1/193536],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 1079/6635520],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 391/9953280],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 29/677376],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 247/1105920],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 1/3840],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 619/2764800],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 259/737280],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 1/12800],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 53/2903040],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 1/1451520],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 79/3317760],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 1/806400],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 7/414720],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 1613/23224320],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 17/2764800],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 11/1658880],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 5177/46448640],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 643/58060800],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 37/552960],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 6551/30965760],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 1/5806080],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 1061/29030400],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 473/232243200],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 23753/2786918400],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 11819/222953472],
[[[1, 7], [3, 1], [4, 2], [7, 2]], 1/225792],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 7], [3, 4], [4, 2], [7, 1]], 1/145152],
[[[1, 7], [4, 2], [5, 2], [7, 1]], 1/44800],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 5/56448],
[[[1, 8], [2, 1], [3, 5], [4, 3]], 1/248832],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 1/15120],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 1/64000],
[[[1, 8], [2, 1], [4, 2], [7, 2]], 1/752640],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 13/376320],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 1/72000],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 17/225792],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 1/221184],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 1/36864],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 25/497664],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 1/15552],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 1/145152],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 1/46656],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 3/32000],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 5/50176],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 7/153600],
[[[1, 8], [2, 3], [4, 4], [7, 1]], 1/43008],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 1/8960],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 1/24000],
[[[1, 8], [2, 3], [6, 1], [7, 2]], 1/282240],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 7/147456],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 59/442368],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 7/691200],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 109/1327104],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 31/82944],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 1/82944],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 1/165888],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 1/2488320],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 43/124416],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 1/2985984],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 1/1492992],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 37/307200],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 5/18432],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 73/258048],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 1/8192],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 17/36864],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 7/19200],
[[[1, 8], [2, 5], [7, 1], [14, 1]], 1/8960],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 5/18432],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 1/115200],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 389/2654208],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 121/663552],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 13/2322432],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 1/147456],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 1/1658880],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 91/331776],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 1/1990656],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 1/995328],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 43/1843200],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 1/18432],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 1/614400],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 1/2654208],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 383/2580480],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 143/5160960],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 1/5760],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 1/884736],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 5/4096],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 1/23040],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 35/221184],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 1/92160],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 1/115200],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 1/1843200],
[[[1, 8], [2, 7], [6, 2], [14, 1]], 1/3096576],
[[[1, 8], [2, 7], [7, 1], [8, 1]], 1/564480],
[[[1, 8], [2, 7], [10, 1], [14, 1]], 1/1290240],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 1663/8847360],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 71/1990656],
[[[1, 8], [2, 9], [3, 1], [7, 1]], 1/3096576],
[[[1, 8], [2, 9], [3, 1], [14, 1]], 17/4515840],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 7/5308416],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 1/4423680],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 119/663552],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 1/5308416],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 1/2654208],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 1/248832],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 163/36126720],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 439/13547520],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 143/7372800],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 425/5308416],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 233/552960],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 101/819200],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 1343/4423680],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 1/11520],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 653/108380160],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 11/2654208],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 1/806400],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 53/1105920],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 71/860160],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 121/19353600],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 1/55296],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 323/5160960],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 149/3870720],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 1019/19353600],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 70439/371589120],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 1/967680],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 1579/92897280],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 179/33177600],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 323/23224320],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 11513/232243200],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 1/24000],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 47/903168],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 5/663552],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 1/43200],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 1/55296],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 11/290304],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 7/165888],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 1/15552],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 1/419904],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 3/32000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 37/1505280],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 1/30720],
[[[1, 9], [2, 2], [4, 4], [7, 1]], 1/258048],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 43/537600],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/72000],
[[[1, 9], [2, 2], [6, 1], [7, 2]], 1/5927040],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 1/73728],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 41/442368],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 67/1382400],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 37/165888],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 1/13824],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 163/3483648],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 13/221184],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 13/2488320],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 49/248832],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 1/248832],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 5/373248],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 29/102400],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 1/30720],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 5/32256],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 3/40960],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 1/12288],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 1/19200],
[[[1, 9], [2, 4], [7, 1], [14, 1]], 29/846720],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 251/884736],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 107/2764800],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 239/884736],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 1/13824],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 11/387072],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 385/3981312],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 1/110592],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 245/663552],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 5/663552],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 25/497664],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 179/1843200],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 1/18432],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 1327/7741440],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 121/368640],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 109/184320],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 1/27648],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 3/89600],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 1/38400],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 1343/4423680],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 1/2654208],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 653/108380160],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 425/5308416],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 11/2654208],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 119/663552],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 1/248832],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 71/1990656],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 1/5308416],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 439/13547520],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 163/36126720],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 101/819200],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 7/5308416],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 233/552960],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 143/7372800],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 1663/8847360],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 1/806400],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 1/11520],
[[[1, 9], [2, 8], [6, 1], [7, 1]], 17/4515840],
[[[1, 9], [2, 8], [6, 1], [14, 1]], 1/3096576],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 1/4423680],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 529/8257536],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 1/4423680],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 4153/92897280],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 17/6451200],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 5/10616832],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 1843/92897280],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 163/51609600],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 6361/371589120],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 167/3870720],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 4001/154828800],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 2195/18579456],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 1/1935360],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 43/9676800],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 143/15482880],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 6991/371589120],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 28181/743178240],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 1/115200],
[[[1, 9], [3, 3], [4, 2], [7, 1]], 1/290304],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 1/15120],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 1/207360],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 1/24000],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 23/2257920],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 1/21600],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 1/248832],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 1/16128],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 1/248832],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 1/77760],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1/62208],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 1/46656],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 1/32000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 47/31610880],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 1/153600],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 1/38400],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 1/442368],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 17/737280],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 13/115200],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 367/3981312],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 1/497664],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 29/290304],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 193/995328],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 13/414720],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 49/373248],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 17/497664],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 41/746496],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 79/384000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 1/645120],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 19/645120],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 7/368640],
[[[1, 10], [2, 3], [7, 1], [14, 1]], 1/250880],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 17/110592],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 5/55296],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 373/884736],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 1/69120],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 89/1290240],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 299/1327104],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 41/995328],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 193/829440],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 127/2985984],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 73/995328],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 331/1843200],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 1/92160],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 29/172032],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 113/368640],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 151/1290240],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 3287/67737600],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 1/36000],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 259/737280],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 53/2903040],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 247/1105920],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 79/3317760],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 1079/6635520],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 1/1451520],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 391/9953280],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 115/995328],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 29/677376],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 619/2764800],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 1/3840],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 1/12288],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 1/806400],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 1/12800],
[[[1, 10], [2, 7], [6, 1], [7, 1]], 1/193536],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 2195/18579456],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 43/9676800],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 1843/92897280],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 1/1935360],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 6361/371589120],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 4153/92897280],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 4001/154828800],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 5/10616832],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 167/3870720],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 163/51609600],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 529/8257536],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 17/6451200],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 1/4423680],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 2071/247726080],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 5861/371589120],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 1331/74317824],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 47/15482880],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 19/153600],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 7/552960],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 103/1161216],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 35/663552],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 29/414720],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 1/55296],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 19/248832],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 83/1119744],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 11/252000],
[[[1, 11], [2, 2], [4, 3], [7, 1]], 1/1128960],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 1/368640],
[[[1, 11], [2, 2], [7, 1], [14, 1]], 1/6773760],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 11/276480],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 169/1382400],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 313/1474560],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 1/1451520],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 15137/162570240],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 127/331776],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 511/4976640],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 2197/23224320],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 5/36864],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 103/746496],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 169/1024000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 1/1935360],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 13/184320],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 119/921600],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 71/7741440],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 2579/67737600],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 37/3024000],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 527/1474560],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 23/677376],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 5209/15482880],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 377/5529600],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 709/9289728],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 89/829440],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 1171/9953280],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 143/2709504],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 329/1382400],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 41/645120],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 7/552960],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 29/1209600],
[[[1, 11], [2, 6], [6, 1], [7, 1]], 1/276480],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 70439/371589120],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 1579/92897280],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 1/55296],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 1/967680],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 323/5160960],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 71/860160],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 1019/19353600],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 149/3870720],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 53/1105920],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 121/19353600],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 1331/74317824],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 5861/371589120],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 2071/247726080],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 1/460800],
[[[1, 11], [3, 2], [4, 2], [7, 1]], 13/27095040],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 1/53760],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 1/414720],
[[[1, 11], [4, 2], [5, 1], [7, 1]], 1/11289600],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 13/230400],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 179/139345920],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 1/46080],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 11/4976640],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 25/497664],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 5/331776],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 17/1492992],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 23/32256000],
[[[1, 12], [2, 1], [4, 3], [7, 1]], 1/27095040],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 13/2580480],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 107/1152000],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 511/13271040],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 1651/27095040],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 3097/19906560],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 73/552960],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 107/6967296],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 329/1990656],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 1633/14929920],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 4751/64512000],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 125/10838016],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 137/6451200],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 1/2580480],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 71/4515840],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 23/12096000],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 6037/30965760],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 269/7741440],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 787/2064384],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 26351/232243200],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 1073/46448640],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 177151/836075520],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 54707/418037760],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 5657/162570240],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 617/3686400],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 13/1935360],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 41/34836480],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 1/358400],
[[[1, 12], [2, 5], [6, 1], [7, 1]], 11/10160640],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 6551/30965760],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 1061/29030400],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 11/1658880],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 1/5806080],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 5177/46448640],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 1613/23224320],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 37/552960],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 643/58060800],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 7/414720],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 17/2764800],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 28181/743178240],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 6991/371589120],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 143/15482880],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 37/92897280],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 1153/32256000],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 5/2064384],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 1/60480],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 11/573440],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 641/8294400],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 17/23224320],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 523/9953280],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 4043/156764160],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 871/64512000],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 163/270950400],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 1/1548288],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 17/5644800],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 1/12096000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 299/6193152],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 9293/487710720],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 1097/6193152],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 25043/232243200],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 527/139345920],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 335/1741824],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 16393/209018880],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 17/1505280],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 4447/77414400],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 1/3870720],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 1/9676800],
[[[1, 13], [2, 4], [6, 1], [7, 1]], 31/203212800],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 2845/15925248],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 1241/25804800],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 1/725760],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 9689/61931520],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 2477/46448640],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 14237/232243200],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 47/38707200],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 1/276480],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 191/58060800],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 11513/232243200],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 323/23224320],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 179/33177600],
[[[1, 13], [3, 1], [4, 2], [7, 1]], 1/81285120],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 17/22579200],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 13/38707200],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 89/16128000],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 41/278691840],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 17/9031680],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 53/139345920],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 2837/174182400],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 1/207360],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 191/104509440],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 47/64512000],
[[[1, 14], [2, 1], [4, 2], [7, 1]], 1/270950400],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 1/38707200],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 17/67737600],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 3307/696729600],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 43/8128512],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 5/145152],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 2099/38707200],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 23/83607552],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 1237/17418240],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 1061/52254720],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 61/33868800],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 137/16128000],
[[[1, 14], [2, 3], [6, 1], [7, 1]], 1/101606400],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 7501/92897280],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 41/1088640],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 31/174182400],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 197053/1672151040],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 10991/418037760],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 7493/232243200],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 1/23224320],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 1/2580480],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 251/290304000],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 11819/222953472],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 23753/2786918400],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 473/232243200],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 17/154828800],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 151/203212800],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 571/232243200],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 499/38707200],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 1/139345920],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 193/17418240],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 845/376233984],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 1/7526400],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 41/96768000],
[[[1, 15], [2, 2], [6, 1], [7, 1]], 1/4267468800],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 5653/309657600],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 11873/696729600],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 1/87091200],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 1549/34836480],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 7177/1045094400],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 887/96768000],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 1/69672960],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 11/96768000],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 4601/132710400],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 5003/1393459200],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 313/696729600],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 1/116121600],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 71/19508428800],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 1/20070400],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 59/2786918400],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 1907/1393459200],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 341/557383680],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 71/836075520],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 41/11379916800],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 43/16257024000],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 2701/1393459200],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 613/145152000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 1/3657830400],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 59/6967296],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 193/209018880],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 131/96768000],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 43/6096384000],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 1504507/117050572800],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 3539/3901685760],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 37/696729600],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 1003/13005619200],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 1289/2322432000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 857/1114767360],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 5251/87787929600],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 1553/16257024000],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 1/6096384000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 2189/812851200],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 61/457228800],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 1/325140480],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 1/2438553600],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 109/3048192000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 67/2601123840],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 43/29262643200],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 41/16257024000],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 24329/78033715200],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 1301/117050572800],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 1/14631321600],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 143/7803371520],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 17/35115171840],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 11/26011238400],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/117050572800],
[[[2, 1], [6, 3], [14, 1], [42, 1]], 1/1008],
[[[2, 3], [3, 2], [6, 3], [18, 2]], 1/2592],
[[[2, 3], [6, 2], [14, 1], [42, 1]], 1/504],
[[[2, 3], [6, 3], [12, 1], [18, 2]], 1/432],
[[[2, 3], [6, 5], [10, 1], [30, 1]], 1/1440],
[[[2, 5], [3, 2], [6, 5], [18, 1]], 1/10368],
[[[2, 5], [4, 2], [6, 2], [14, 2]], 1/56448],
[[[2, 5], [4, 2], [10, 1], [14, 2]], 1/31360],
[[[2, 5], [6, 4], [10, 1], [30, 1]], 1/720],
[[[2, 5], [6, 5], [12, 1], [18, 1]], 1/1728],
[[[2, 7], [4, 2], [6, 1], [14, 2]], 1/225792],
[[[2, 7], [4, 2], [6, 4], [14, 1]], 1/145152],
[[[2, 7], [4, 2], [10, 2], [14, 1]], 1/44800],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 1/115200],
[[[2, 9], [4, 2], [6, 3], [14, 1]], 1/290304],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 1/207360],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 1/15120],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 1/460800],
[[[2, 11], [4, 2], [6, 2], [14, 1]], 13/27095040],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 1/414720],
[[[2, 11], [4, 2], [10, 1], [14, 1]], 1/11289600],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 1/53760],
[[[2, 13], [4, 2], [6, 1], [14, 1]], 1/81285120],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 13/38707200],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 17/22579200],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 1/116121600],
[[[1, 1], [2, 2], [6, 2], [14, 1], [42, 1]], 1/168],
[[[1, 1], [2, 2], [7, 1], [8, 1], [14, 2]], 1/784],
[[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/432],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 1/1728],
[[[1, 1], [2, 4], [3, 3], [6, 4], [18, 1]], 1/1728],
[[[1, 1], [2, 4], [4, 1], [7, 1], [14, 2]], 1/3136],
[[[1, 1], [2, 4], [4, 2], [10, 1], [14, 2]], 1/31360],
[[[1, 1], [2, 4], [4, 3], [6, 1], [14, 2]], 1/37632],
[[[1, 1], [2, 4], [6, 4], [10, 1], [30, 1]], 1/240],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 1/576],
[[[1, 1], [2, 6], [3, 1], [6, 6], [12, 1]], 1/5760],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 2]], 5/28224],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 3/15680],
[[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/37632],
[[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/22400],
[[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/48384],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/124416],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/225792],
[[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/9072],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 29/451584],
[[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/10368],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 3/22400],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/57600],
[[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 1/48384],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/207360],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 1/64512],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/69120],
[[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/53760],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 1/15120],
[[[1, 1], [2, 8], [7, 1], [8, 1], [14, 1]], 1/564480],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/248832],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 1/32256],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 1/12960],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1/11520],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 37/580608],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 7/103680],
[[[1, 1], [2, 10], [4, 1], [7, 1], [14, 1]], 1/2257920],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 1/161280],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 7/414720],
[[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 11/5644800],
[[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 1/376320],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 23/161280],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 13/23224320],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 17/13547520],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 1/46080],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 29/921600],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 61/5419008],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 37/829440],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 47/22579200],
[[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 1/3010560],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 181/38707200],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 1/537600],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 113/7526400],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/69672960],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/81285120],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 17/19353600],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 1/2540160],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 61/7741440],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 1/4147200],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/9754214400],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/116121600],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 1/3628800],
[[[1, 1], [3, 1], [6, 2], [7, 1], [21, 1]], 1/1008],
[[[1, 1], [3, 1], [7, 1], [12, 1], [21, 1]], 1/168],
[[[1, 2], [2, 1], [3, 2], [7, 1], [21, 1]], 1/168],
[[[1, 2], [2, 1], [7, 2], [8, 1], [14, 1]], 1/784],
[[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/1296],
[[[1, 2], [2, 3], [3, 1], [7, 1], [14, 2]], 1/1176],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 4], [6, 3], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [4, 1], [7, 1], [14, 2]], 1/1568],
[[[1, 2], [2, 3], [4, 1], [7, 2], [14, 1]], 1/3136],
[[[1, 2], [2, 3], [6, 1], [7, 1], [14, 2]], 1/1176],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/21168],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 19/5184],
[[[1, 2], [2, 5], [3, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 7/1728],
[[[1, 2], [2, 5], [3, 2], [6, 5], [12, 1]], 1/1152],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 3/15680],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 13/75264],
[[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 1/44800],
[[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 1/64512],
[[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 1/3024],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/41472],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 11/169344],
[[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 1/54432],
[[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 1/41472],
[[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 1/6048],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 11/37632],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 3/11200],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 1/6400],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 17/96768],
[[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 1/10752],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/69120],
[[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 1/64512],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/92160],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 2], [2, 7], [7, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7/62208],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 1/41472],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/55296],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 7/43200],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 47/217728],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 7/77760],
[[[1, 2], [2, 9], [3, 1], [7, 1], [14, 1]], 1/846720],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/165888],
[[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1/193536],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 1/8640],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1/5760],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 5/16128],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 7/103680],
[[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 23/2257920],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 13/115200],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 41/258048],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 19/138240],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 11/89600],
[[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 1/40320],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 1/18432],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 13/1128960],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 17/80640],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 37/497664],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 1/138240],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 1/322560],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 1/27648],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 509/20321280],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 43/248832],
[[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/4233600],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/11612160],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1/276480],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 19/92160],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 1/8064],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 217/829440],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 103/2822400],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 1/3225600],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 55/1806336],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 71/614400],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 31/1612800],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 281/3225600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 61/4644864],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 1/2580480],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 1/23224320],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 107/243855360],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 1069/58060800],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 41/4515840],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 733/7741440],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 139/6451200],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1/2177280],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 1/232243200],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 11/34836480],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 11/1658880],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 41/9754214400],
[[[1, 3], [2, 2], [3, 1], [7, 2], [14, 1]], 1/1176],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/1296],
[[[1, 3], [2, 2], [3, 3], [6, 4], [9, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 1/3456],
[[[1, 3], [2, 2], [4, 1], [7, 1], [14, 2]], 1/3136],
[[[1, 3], [2, 2], [4, 1], [7, 2], [14, 1]], 1/1568],
[[[1, 3], [2, 2], [6, 1], [7, 2], [14, 1]], 1/1176],
[[[1, 3], [2, 4], [3, 1], [10, 1], [14, 2]], 1/11760],
[[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 1/7056],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 5/1728],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 1/576],
[[[1, 3], [2, 4], [3, 3], [6, 4], [12, 1]], 1/1152],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 1/896],
[[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 1/28224],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 1/55296],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 17/112896],
[[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 1/27648],
[[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 1/9072],
[[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/5184],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 1/41472],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 3/25088],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 3/22400],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 3/6400],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 1/2304],
[[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 5/10752],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 1/1280],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 1/9216],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 1/3584],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 1/21504],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 1/1920],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 1/93312],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 17/82944],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 1/9216],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 1/55296],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 1/8640],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 29/145152],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 1/77760],
[[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 1/40320],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 1/3456],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 1/27648],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 1/55296],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 13/145152],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 1/20736],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 1/5184],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 1/11520],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 13/96768],
[[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 109/1128960],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1/9216],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 7/38400],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 103/193536],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 17/138240],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 5/10752],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 5/32256],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 1/9216],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 11/92160],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 1/5120],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 1/8960],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 139/373248],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 1/57600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 41/221184],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 7/184320],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 1/221184],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 193/1382400],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 89/645120],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 181/622080],
[[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 11/2116800],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 11/110592],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 1/552960],
[[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 1/2540160],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/1451520],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 11/165888],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 347/921600],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 101/258048],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 43/138240],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 187/1075200],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 23/3225600],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 929/3870720],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 107/221184],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 1/36864],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 29/230400],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/806400],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 23/129024],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 7739/52254720],
[[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 1/10160640],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 55/1548288],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 1/860160],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 149/27095040],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 265/2322432],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 17/7741440],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1/3628800],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 1/2419200],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 17/250880],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 133/368640],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 229/1209600],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 41/3732480],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 1/14515200],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 163/232243200],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 181/43545600],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 347/6451200],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 241/1463132160],
[[[1, 3], [3, 3], [5, 1], [6, 2], [15, 1]], 1/1440],
[[[1, 3], [3, 3], [5, 1], [12, 1], [15, 1]], 1/240],
[[[1, 4], [2, 1], [3, 1], [4, 3], [7, 2]], 1/37632],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/432],
[[[1, 4], [2, 1], [3, 4], [5, 1], [15, 1]], 1/240],
[[[1, 4], [2, 1], [3, 4], [6, 3], [9, 1]], 1/1728],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 1/1728],
[[[1, 4], [2, 1], [4, 1], [7, 2], [14, 1]], 1/3136],
[[[1, 4], [2, 1], [4, 2], [5, 1], [7, 2]], 1/31360],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 1/7056],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 1/576],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 5/1728],
[[[1, 4], [2, 3], [3, 4], [6, 3], [12, 1]], 1/1152],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 1/896],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/451584],
[[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/9408],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/225792],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 5/56448],
[[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/3024],
[[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 1/2016],
[[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 1/1728],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/37632],
[[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1/2688],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 3/6400],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 1/6400],
[[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 5/5376],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 1/1280],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 1/1536],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 1/3584],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 1/3456],
[[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 1/1920],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 7/62208],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 11/55296],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 1/9216],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 1/43200],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 5/72576],
[[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 5/31104],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 67/165888],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 1/6144],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 29/96768],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 1/3456],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 1/3240],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 1/3456],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 1/2880],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 1/1200],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1/6912],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 1/48384],
[[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 23/53760],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1/1536],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 13/153600],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 31/258048],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 1/3456],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 37/107520],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 1/3072],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 5/16128],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 1/3456],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 7/92160],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 11/15360],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 1/6144],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 13/24192],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 13/483840],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 17/82944],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 1/11520],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 373/497664],
[[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 1/96768],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 7/27648],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 1/18432],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 77/345600],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 23/96768],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 13/69120],
[[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 1/33600],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 5/9216],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 59/331776],
[[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 1/120960],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 1/69120],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 113/414720],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 1/27648],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 7/25600],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 1/3024],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 1/9216],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 107/806400],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 47/86016],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 1/6912],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 101/221184],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 13/55296],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 1/3072],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 331/1935360],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1627/3317760],
[[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 1/423360],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 1027/3317760],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 1/967680],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 1/138240],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 289/7741440],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1/1209600],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 793/27095040],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 727/2764800],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 1061/23224320],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 1/2903040],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 11/1814400],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 1/100800],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 2773/13547520],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 559/1105920],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 37/1935360],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 761/1382400],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 13/1612800],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 331/3870720],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 1/580608],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 59/3981312],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 157/6451200],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 1/8709120],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 3691/19353600],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 139/58060800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 13/75264],
[[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 1/64512],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/21168],
[[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 1/3024],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 7/1728],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 19/5184],
[[[1, 5], [2, 2], [3, 5], [6, 2], [12, 1]], 1/1152],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 3/15680],
[[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 1/44800],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 2]], 1/11760],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/37632],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 1/1536],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 5/56448],
[[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/225792],
[[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 1/2016],
[[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/3024],
[[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 1/1728],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/9408],
[[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/451584],
[[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1/2688],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 1/1280],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 1/6400],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 3/6400],
[[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 5/5376],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1/1344],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 1/3584],
[[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 1/1920],
[[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 47/248832],
[[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 1/8064],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 1/9216],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 1/6144],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 1/2400],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 1/290304],
[[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 5/32256],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 5/20736],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 5/10368],
[[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 1/774144],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 13/27648],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 1/14400],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 1/21504],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 19/48384],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1/4320],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 5/6912],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 5/13824],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 1/2880],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 1/1200],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 1/580608],
[[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 1/1152],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 5/9216],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 1/64512],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 5/5376],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 1/5120],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 1/1536],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 5/9216],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 11/15360],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/483840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 29/124416],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 7/57600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 127/221184],
[[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 1/16128],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 127/165888],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 1/4608],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 1/11520],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 17/73728],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 1/6144],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 191/1161216],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 1/20736],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 7/138240],
[[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 143/165888],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 319/331776],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 1/13824],
[[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 1/24192],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 1/13824],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 67/138240],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 1/6912],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 1/4608],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 79/921600],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 85/774144],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1/10368],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 13/829440],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 139/645120],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 1/1600],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 71/258048],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 11/13824],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 7/73728],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 1/1280],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 1/1152],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 7/23040],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 1/1920],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 169/1935360],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 35/62208],
[[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 1/60480],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 109/122880],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 1/46080],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 7/138240],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 121/430080],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 1/57600],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 5531/81285120],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 1/82944],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 467/1658880],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 3467/11612160],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 1/51840],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 1/28800],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 443/4838400],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 47/188160],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 341/1105920],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 61/276480],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 53/92160],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 1/9600],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 829/2903040],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 1/2903040],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 1/75600],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 199/1935360],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 1/5806080],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 113/1658880],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 1/290304],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 13/3870720],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 6157/19353600],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 1429/87091200],
[[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/37632],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/11760],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 2]], 5/28224],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/48384],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 1/576],
[[[1, 6], [2, 1], [3, 6], [6, 1], [12, 1]], 1/5760],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 3/15680],
[[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/22400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 3/25088],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/76800],
[[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 1/21504],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 17/112896],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 1/1344],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 1/41472],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 1/27648],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 1/9072],
[[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/5184],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 3/22400],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 1/28224],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 1/1280],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 3/6400],
[[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 5/10752],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 1/3584],
[[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 1/1920],
[[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/8400],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 5/9216],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1/8064],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 1/18432],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 1/2304],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 1/14400],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 5/13824],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 1/64512],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 13/27648],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 5/9216],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 1/2880],
[[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/483840],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 19/48384],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 1/21504],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 5/6912],
[[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 1/580608],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 5/10368],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 47/248832],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1/4320],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 1/290304],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/6912],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 5/20736],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1/3840],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1/4800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 1/1200],
[[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 1/1152],
[[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 1/774144],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 5/5376],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 1/5376],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 11/15360],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 1/1536],
[[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 1/8064],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 1/5120],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 1/6144],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 5/32256],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 1/921600],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 1/497664],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 1/19200],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 79/165888],
[[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 1/258048],
[[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 1/4608],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 23/27648],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 31/36864],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 1/11520],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 7/13824],
[[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 1/645120],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 1/460800],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 11/230400],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 25/193536],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 1/414720],
[[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 1/40320],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 103/82944],
[[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 1/774144],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 1/1105920],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 49/27648],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 19/36864],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 1/30720],
[[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 1/387072],
[[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 1/4608],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 17/55296],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 119/110592],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 1/663552],
[[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 1/215040],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 7/460800],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 1/48384],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 1/829440],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 1/4480],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 1/16128],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1/7680],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 29/23040],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 19/110592],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 1/2304],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 13/1105920],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 1/1280],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 29/18432],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 7/34560],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 1/43008],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 1279/1990656],
[[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 1/24192],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 757/663552],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 5/27648],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 1/5120],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 923/1105920],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 311/3870720],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 1/13824],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 341/1658880],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 1511/1658880],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 7/27648],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 29/76800],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 37/276480],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 1/4320],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 101/1105920],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 41/230400],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 5/6144],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 173/552960],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 13/34560],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 2833/5806080],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 1/138240],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 7/172800],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 2269/6635520],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 6031/58060800],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 7/207360],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 13/276480],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 5197/19353600],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 8207/139345920],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 11/37632],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/38400],
[[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 1/64512],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 11/169344],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1/115200],
[[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 1/16128],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/92160],
[[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 17/96768],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 1/6048],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 1/41472],
[[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 1/54432],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 3/11200],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 1/6400],
[[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 1/10752],
[[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 1/13440],
[[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 1/13440],
[[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/16800],
[[[1, 7], [2, 2], [7, 1], [8, 1], [14, 1]], 1/26880],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 13/153600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1/1536],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 5/16128],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 1/30720],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 1/6144],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 1/7200],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 13/24192],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1/6912],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 31/258048],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 7/92160],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 1/6144],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 1/9216],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 1/2880],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 13/483840],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 1/43200],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 29/96768],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 1/3456],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 1/48384],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 67/165888],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 11/55296],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 1/3240],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1/4320],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 5/72576],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 5/31104],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 7/62208],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 1/3840],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 1/1200],
[[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 23/53760],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 37/107520],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 1/5376],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 11/15360],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 1/3072],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1/13440],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 7/460800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 1/9216],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 1/663552],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 19/110592],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 1/11520],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 19/36864],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 29/18432],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 7/13824],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 1/43008],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 11/230400],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 1/460800],
[[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 1/8064],
[[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 1/387072],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 119/110592],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 1/48384],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 13/1105920],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 49/27648],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 1/2304],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 23/27648],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 17/55296],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 7/34560],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 25/193536],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 1/4608],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 1/30720],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 1/829440],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 103/82944],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 79/165888],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 1/414720],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 1/497664],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 1/16128],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 1/19200],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 1/921600],
[[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 1/774144],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 1/32256],
[[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 1/215040],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 1/1280],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 29/23040],
[[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 1/4608],
[[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 1/258048],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 1/1105920],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 1/11520],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 31/36864],
[[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 1/40320],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 1/645120],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 43/165888],
[[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 1/387072],
[[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 1/17920],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 1/368640],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 833/663552],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 11/27648],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 7/46080],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 23/18432],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1/9216],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 1/86016],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 23/258048],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 1/27648],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 17/184320],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 1/1105920],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 1/768],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 187/221184],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 1/552960],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 1/11520],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 1/663552],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 1/46080],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 1/1440],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 59/967680],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 7/82944],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 17/1105920],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 41/230400],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 77/92160],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 17/138240],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 13/20736],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 1/27648],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 47/691200],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 4619/6635520],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 1/55296],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 41/345600],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 1/6912],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 37/207360],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 377/2764800],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 2959/23224320],
[[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 29/451584],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/76800],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/225792],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/57600],
[[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 1/64512],
[[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 1/48384],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 1/15120],
[[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/10368],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/207360],
[[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/9072],
[[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/124416],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 3/22400],
[[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/53760],
[[[1, 8], [2, 1], [7, 1], [8, 1], [14, 1]], 1/564480],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 7/38400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1/9216],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 5/32256],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 1/23040],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 1/14400],
[[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 1/11520],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 103/193536],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 11/92160],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 1/55296],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 1/9216],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 1/8960],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 1/8640],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 13/145152],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 13/96768],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 17/138240],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 1/27648],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 1/9216],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 1/5184],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 29/145152],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 1/20736],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 1/3456],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 17/82944],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 1/77760],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 1/93312],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 109/1128960],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 5/10752],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 1/5120],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 1/15360],
[[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 1/40320],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 79/921600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 1/4608],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 71/258048],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 7/23040],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 1/13824],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 1/1152],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 17/73728],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 169/1935360],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 1/6144],
[[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 1/24192],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 1/6912],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 85/774144],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 7/73728],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 319/331776],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 11/13824],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 127/165888],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 67/138240],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 1/1920],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 191/1161216],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 1/13824],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 13/829440],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 143/165888],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1/10368],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 127/221184],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 7/138240],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 1/20736],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 29/124416],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 139/645120],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 7/57600],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 1/32256],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 1/1280],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 1/1600],
[[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 1/16128],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 1/11520],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 1/4608],
[[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 1/663552],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 59/967680],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 17/138240],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 187/221184],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 77/92160],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 23/18432],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 1/11520],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1/3840],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 23/258048],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 1/86016],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 1/552960],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 17/1105920],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 1/768],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 7/82944],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 833/663552],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 17/184320],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 1/27648],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 43/165888],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 41/230400],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 1/1440],
[[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 1/17920],
[[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 1/387072],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 1/1105920],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 7/46080],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 11/27648],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1/9216],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 1/552960],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 743/1658880],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 5/110592],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 1/25600],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 4133/4423680],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 1/122880],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 13/645120],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 13/184320],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 17/69120],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 233/1935360],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 41/921600],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 593/2903040],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 13/115200],
[[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 1/40320],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 1/92160],
[[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 13/1128960],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1/5760],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 41/258048],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 1/18432],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 17/80640],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 7/43200],
[[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1/193536],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 5/16128],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 19/138240],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/165888],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/55296],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 1/8640],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 47/217728],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 7/103680],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 1/41472],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 7/77760],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7/62208],
[[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 23/2257920],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 11/89600],
[[[1, 9], [2, 2], [6, 1], [7, 1], [14, 1]], 1/846720],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 7/25600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 1/27648],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 47/86016],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 1/3072],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 13/55296],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 1/18432],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 331/1935360],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 77/345600],
[[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 1/120960],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 1/3024],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 101/221184],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 59/331776],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 1/6912],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 7/27648],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 113/414720],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 1/11520],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 23/96768],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 1/69120],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 1/9216],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 5/9216],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 373/497664],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 13/69120],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 17/82944],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 1/3360],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 1/11520],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 1/7680],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 107/806400],
[[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 1/96768],
[[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 1/33600],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 37/276480],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 173/552960],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 7/27648],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 5/6144],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 923/1105920],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 1/8640],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 13/34560],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 311/3870720],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 101/1105920],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 1511/1658880],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 1/4320],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 757/663552],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 341/1658880],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 1/13824],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 1279/1990656],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 41/230400],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 29/76800],
[[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 1/24192],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 1/5120],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 5/27648],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 41/921600],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 17/69120],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 233/1935360],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 4133/4423680],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 13/184320],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 13/645120],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 1/122880],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 743/1658880],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 1/25600],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 5/110592],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 1/552960],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 751/3440640],
[[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 1/161280],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 1/57600],
[[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 1/376320],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1/11520],
[[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 1/161280],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1/92160],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 23/161280],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 1/14400],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 37/580608],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 7/414720],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 1/32256],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 7/103680],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/248832],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 1/12960],
[[[1, 10], [2, 1], [4, 1], [7, 1], [14, 1]], 1/2257920],
[[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 11/5644800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 347/921600],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 929/3870720],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 29/230400],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 1/36864],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 1/221184],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 23/129024],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 193/1382400],
[[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 1/2540160],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 101/258048],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 107/221184],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 1/552960],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 7/184320],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 11/165888],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 89/645120],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/1451520],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 43/138240],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 11/110592],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 41/221184],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 181/622080],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 139/373248],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 187/1075200],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 1/57600],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 23/3225600],
[[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 11/2116800],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/806400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 47/188160],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 53/92160],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 1/51840],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 61/276480],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 121/430080],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 1/28800],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 1/9600],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 5531/81285120],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 341/1105920],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 3467/11612160],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 1/27648],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 109/122880],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 467/1658880],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 1/82944],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 35/62208],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 1/46080],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 443/4838400],
[[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 1/60480],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 7/138240],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 1/46080],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 377/2764800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 1/6912],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 37/207360],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 4619/6635520],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 41/345600],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 1/55296],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 13/20736],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 47/691200],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 1/27648],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 751/3440640],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 19/92160],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 55/1806336],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 31/1612800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 281/3225600],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 1/27648],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 1/8064],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 71/614400],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/11612160],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 1/322560],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1/276480],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 509/20321280],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 217/829440],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 1/138240],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 43/248832],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 37/497664],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 103/2822400],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 1/3225600],
[[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/4233600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 2773/13547520],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 761/1382400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 1/2903040],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 37/1935360],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 289/7741440],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 11/1814400],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 13/1612800],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 793/27095040],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 559/1105920],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 1061/23224320],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 1027/3317760],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 727/2764800],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1627/3317760],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 1/100800],
[[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 1/423360],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 1/138240],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 1/967680],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1/1209600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 5197/19353600],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 7/207360],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 13/276480],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 2269/6635520],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 6031/58060800],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 2833/5806080],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 7/172800],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 593/2903040],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 29/921600],
[[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 1/3010560],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 1/537600],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 113/7526400],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/460800],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 61/5419008],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 181/38707200],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 17/13547520],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 37/829440],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 13/23224320],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 47/22579200],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 17/250880],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 229/1209600],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 1/860160],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1/3628800],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 149/27095040],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 133/368640],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 17/7741440],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 55/1548288],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 265/2322432],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 7739/52254720],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 1/2419200],
[[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 1/10160640],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 6157/19353600],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 1/290304],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 13/3870720],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 199/1935360],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 113/1658880],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 1/5806080],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 829/2903040],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 1/75600],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 1/2903040],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 2959/23224320],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 41/4515840],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 139/6451200],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 1/23224320],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 107/243855360],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 733/7741440],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 1/2580480],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 1069/58060800],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 61/4644864],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 3691/19353600],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 1/8709120],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 59/3981312],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 157/6451200],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 331/3870720],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 1/580608],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 8207/139345920],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 1/2540160],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 1/4147200],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/81285120],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 61/7741440],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/69672960],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 17/19353600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 347/6451200],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 163/232243200],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 181/43545600],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 41/3732480],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 1/14515200],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 1429/87091200],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 11/1658880],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 1/232243200],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 11/34836480],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1/2177280],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 139/58060800],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 1/3628800],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/9754214400],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/116121600],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 241/1463132160],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 41/9754214400],
[[[2, 1], [3, 2], [6, 1], [14, 1], [42, 1]], 1/1008],
[[[2, 1], [6, 1], [12, 1], [14, 1], [42, 1]], 1/168],
[[[2, 3], [3, 2], [6, 3], [10, 1], [30, 1]], 1/1440],
[[[2, 3], [6, 3], [10, 1], [12, 1], [30, 1]], 1/240],
[[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 2], [3, 1], [6, 1], [7, 1], [21, 1]], 1/504],
[[[1, 1], [2, 2], [3, 1], [6, 1], [14, 1], [42, 1]], 1/168],
[[[1, 1], [2, 2], [3, 1], [6, 4], [9, 1], [18, 1]], 1/864],
[[[1, 1], [2, 2], [3, 1], [6, 4], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 2], [3, 3], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 1], [2, 2], [3, 3], [6, 2], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [12, 2]], 1/576],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [12, 1]], 1/3456],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [14, 2]], 1/18816],
[[[1, 1], [2, 4], [3, 1], [6, 3], [9, 1], [18, 1]], 1/432],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [30, 1]], 1/180],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [18, 1]], 1/288],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [12, 1]], 1/3456],
[[[1, 1], [2, 4], [6, 2], [7, 1], [8, 1], [14, 1]], 1/2016],
[[[1, 1], [2, 4], [7, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 1/1728],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/24192],
[[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 6], [4, 1], [7, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/40320],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 1], [2, 6], [6, 1], [7, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 1/96768],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/34560],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 1/5040],
[[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [14, 1]], 1/32256],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/4032],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 1/23040],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/6773760],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1/138240],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 29/322560],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/9676800],
[[[1, 2], [2, 1], [3, 1], [6, 1], [7, 1], [21, 1]], 1/168],
[[[1, 2], [2, 1], [3, 1], [6, 1], [14, 1], [42, 1]], 1/504],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 3], [15, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 2], [6, 3], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 1], [3, 4], [5, 1], [6, 1], [15, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 4], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 1/144],
[[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 1/180],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 1/192],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1/720],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 1], [18, 1]], 1/108],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 1/240],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [18, 1]], 1/576],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [7, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/3136],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 1/576],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 1/16128],
[[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [14, 1]], 1/3024],
[[[1, 2], [2, 5], [3, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 1/288],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 1/16128],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 3/4480],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 5/12096],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 1/16128],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 1/13824],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/34560],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/6912],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 1/32256],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/23040],
[[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/12096],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 1/3780],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 1/23040],
[[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 1/3584],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 1/967680],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1/6400],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 29/193536],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1/3456],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 1/322560],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 1/55296],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 7/138240],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 47/483840],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/806400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 23/46080],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 47/13547520],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 29/276480],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1/3870720],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 11/4838400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1935360],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 47/19353600],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 1/240],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 1], [18, 1]], 1/108],
[[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1/720],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 1/192],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [15, 1]], 1/180],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 1/144],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 1/576],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [5, 1], [7, 1], [8, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/14112],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/1152],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 5/864],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 1/144],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 5/8064],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/896],
[[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 3/4480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/2400],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/2304],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/18144],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/5184],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 1/2592],
[[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/4608],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 13/32256],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/9216],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/4608],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 5/8064],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/15120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1/5184],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/2592],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1/4608],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 1/23040],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1/2304],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 13/16128],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 13/53760],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/2880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 5/6912],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/13824],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 17/51840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/6912],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 1/20160],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 13/64512],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 5/27648],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1/3072],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 1/3456],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 1/18432],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 7/46080],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 73/241920],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 1/20736],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1/10368],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 31/53760],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/1209600],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 97/1505280],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 13/1935360],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 169/276480],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 13/967680],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 5/774144],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 11/76800],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 23/1935360],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1451520],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/725760],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 1/33600],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/11612160],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 23/483840],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/5806080],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [7, 2]], 1/18816],
[[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1/180],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 1/432],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 1/576],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 1/288],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [5, 1], [7, 1], [8, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/14112],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/1152],
[[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 5/8064],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 1/2016],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 1/144],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 5/864],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 3/4480],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 1/896],
[[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 1/2240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 3], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1120],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/4608],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 29/32256],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 1/512],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 5/13824],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 5/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1/10752],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 1/896],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/8064],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 5/12096],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/864],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 1/4032],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 19/13824],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 13/6912],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/9216],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 1/864],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 1/672],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/2304],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1280],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 13/57600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 43/96768],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 5/6912],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1/25920],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/1152],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 1/5040],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 23/27648],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 1/1024],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 67/138240],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 13/13824],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 13/18432],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 5/9216],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 1/12096],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 7/13824],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 11/17280],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 5/6912],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 11/53760],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 1/57600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 289/967680],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 11/69120],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 113/138240],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 1/7168],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 5/6912],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 109/967680],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 13/3870720],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 4919/19353600],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 1/215040],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/3136],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 1/5376],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 1/16128],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 1/16128],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 1/3024],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/3456],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 1/288],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 1/576],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 3/4480],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 1/4480],
[[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [14, 1]], 1/1680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 1/672],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 1/512],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 1/4032],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 1/1344],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 1/5376],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1/10752],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/9216],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 1/5040],
[[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 1/896],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 5/12096],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/864],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 19/13824],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 13/6912],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 1/864],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 5/13824],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 5/6912],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1120],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 29/32256],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1280],
[[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1/322560],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 5/9216],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 29/48384],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 7/41472],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 7/20736],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 7/9216],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 1/4608],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 11/16128],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 7/3072],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 7/34560],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1/576],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 23/9216],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/5120],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 5/4608],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1/7680],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1/11520],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 1/193536],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 1/1344],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 1/512],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 13/34560],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 1/768],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 77/55296],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 29/27648],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 11/17280],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 7/7680],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/4032],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 13/322560],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 1/768],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 101/193536],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 35/41472],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 101/138240],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 13/20736],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 3/2560],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 293/276480],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 23/46080],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 1/2304],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 1/13824],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1728],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 13/13824],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 191/2903040],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 397/691200],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 29/725760],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/26880],
[[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/40320],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/24192],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 1/1728],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/4480],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 13/16128],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 13/53760],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/4608],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1/5376],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 1/5040],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 5/8064],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 13/32256],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 1/4608],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/4608],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/15120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/18144],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/5184],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1/2592],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/5184],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 1/2592],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 13/322560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/28800],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 5/9216],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 1/1344],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 1/193536],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 1/5760],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1920],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 1/768],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 11/16128],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 77/55296],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 29/27648],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 1/5120],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 23/9216],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 5/4608],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1/7680],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 1/161280],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 13/34560],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 11/17280],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 29/48384],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 1/512],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 1/768],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 7/34560],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 7/3072],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1/576],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 7/41472],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 7/20736],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6720],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 7/7680],
[[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1920],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 7/9216],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 17/23040],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 13/129024],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 79/129024],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 11/13824],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 13/30720],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 1/2304],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 7/46080],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 53/18432],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 29/46080],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 7/6912],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 1/1280],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 1/276480],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 7/18432],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 5/27648],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 1/768],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2560],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 439/552960],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 1/4032],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 1/3584],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/19200],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 1/32256],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/12096],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/4032],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/13824],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 1/23040],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 1/16128],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 1/3780],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 5/12096],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/34560],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/6912],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 11/53760],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 13/57600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 1/9216],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 1/12096],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 1/5760],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1920],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1/1440],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 23/27648],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 1/6912],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 1/3840],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 13/18432],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 5/9216],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 3/8960],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 11/17280],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/1440],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 43/96768],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 7/13824],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 5/6912],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 67/138240],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 1/1024],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 13/13824],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 1/25920],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 5/6912],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/1152],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 1/5040],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2560],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1920],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1920],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/5760],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 1/768],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 79/129024],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 13/129024],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 7/18432],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 1/276480],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 5/27648],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 29/46080],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 53/18432],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 7/46080],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 7/6912],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 1/1280],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 13/30720],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 11/13824],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 1/2304],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 17/23040],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 13/184320],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 91/138240],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 23/46080],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 1/32256],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 1/23040],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/4032],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 1/96768],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 1/5040],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/34560],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 31/53760],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/2880],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1/46080],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 1/5760],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 13/64512],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 7/46080],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 1/18432],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 73/241920],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/2880],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/5760],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 5/6912],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1/20736],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1/10368],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 1/3072],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 5/27648],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 1/3456],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 17/51840],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/13824],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 1/20160],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/38400],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1728],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1/5760],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 13/13824],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 101/193536],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 1/13824],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 1/6912],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 293/276480],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 3/2560],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 23/46080],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 1/2304],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 101/138240],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 35/41472],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 13/20736],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 23/46080],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 91/138240],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 13/184320],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 23/46080],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/6400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/967680],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/46080],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 1/322560],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 47/483840],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 29/193536],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 7/138240],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 1/55296],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 1/27648],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/3456],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/806400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 289/967680],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 5/6912],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 1/7168],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 109/967680],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 113/138240],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 11/69120],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 439/552960],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2560],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 29/322560],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/6773760],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/161280],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/138240],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 1/33600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 97/1505280],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1451520],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/725760],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 11/76800],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 5/774144],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 23/1935360],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 169/276480],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 13/1935360],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 13/967680],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1209600],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 397/691200],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 191/2903040],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 29/725760],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 47/13547520],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 11/4838400],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/3870720],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1935360],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 29/276480],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 4919/19353600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 13/3870720],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1/215040],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/9676800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 23/483840],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/11612160],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/5806080],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 47/19353600],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2], [18, 1]], 1/288],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1], [18, 1]], 1/1728],
[[[1, 1], [2, 2], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 1/144],
[[[1, 1], [2, 2], [3, 1], [6, 2], [10, 1], [12, 1], [30, 1]], 1/240],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1728],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/864],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 2]], 1/288],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [9, 1], [12, 1]], 1/1728],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1], [15, 1]], 1/240],
[[[1, 2], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/144],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1728],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/1344],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/288],
[[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/672],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/288],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/1920],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/1728],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/13440],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2688],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/483840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/1344],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/672],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/288],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/288],
[[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/1120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/8064],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/5376],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/2688],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/576],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/20160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1536],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/8064],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/2016],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/5376],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2016],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/576],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/896],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 13/11520],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1536],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/768],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1280],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/23040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1920],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/2688],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/13440],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/5376],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/2688],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1280],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/896],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1536],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 13/11520],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1280],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/768],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 11/5760],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/13440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/20160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/8064],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1536],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1280],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/23040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 11/5760],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2240],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/23040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/483840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/672],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/672],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/960],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/960]
]}