{[ [[[1, 16]], 1/685597979049984000], [[[2, 16]], 1/685597979049984000], [[[4, 8]], 1/1321205760], [[[8, 4]], 1/49152], [[[16, 2]], 1/256], [[[1, 1], [2, 15]], 1/2856658246041600], [[[1, 2], [2, 14]], 61/1904438830694400], [[[1, 3], [2, 13]], 1/697596641280], [[[1, 4], [2, 12]], 12673/376702186291200], [[[1, 4], [4, 6]], 1/566231040], [[[1, 4], [5, 3]], 1/6000], [[[1, 4], [7, 2]], 1/1568], [[[1, 4], [13, 1]], 1/624], [[[1, 5], [2, 11]], 1189/2853804441600], [[[1, 6], [2, 10]], 32593/12230590464000], [[[1, 6], [3, 5]], 1/933120], [[[1, 6], [11, 1]], 1/42240], [[[1, 7], [2, 9]], 8201/951268147200], [[[1, 8], [2, 8]], 80441/5919001804800], [[[1, 8], [3, 4]], 1/5971968], [[[1, 8], [4, 4]], 1/31708938240], [[[1, 8], [5, 2]], 1/4608000], [[[1, 8], [8, 2]], 1/660602880], [[[1, 9], [2, 7]], 8201/951268147200], [[[1, 10], [2, 6]], 32593/12230590464000], [[[1, 10], [3, 3]], 1/418037760], [[[1, 10], [7, 1]], 1/1300561920], [[[1, 11], [2, 5]], 1189/2853804441600], [[[1, 12], [2, 4]], 12673/376702186291200], [[[1, 12], [3, 2]], 1/133772083200], [[[1, 12], [4, 2]], 1/31391848857600], [[[1, 12], [5, 1]], 1/408748032000], [[[1, 13], [2, 3]], 1/697596641280], [[[1, 14], [2, 2]], 61/1904438830694400], [[[1, 14], [3, 1]], 1/153035263180800], [[[1, 15], [2, 1]], 1/2856658246041600], [[[2, 4], [4, 6]], 1/566231040], [[[2, 4], [10, 3]], 1/6000], [[[2, 4], [14, 2]], 1/1568], [[[2, 4], [26, 1]], 1/624], [[[2, 6], [6, 5]], 1/933120], [[[2, 6], [22, 1]], 1/42240], [[[2, 8], [4, 4]], 1/31708938240], [[[2, 8], [6, 4]], 1/5971968], [[[2, 8], [8, 2]], 1/660602880], [[[2, 8], [10, 2]], 1/4608000], [[[2, 10], [6, 3]], 1/418037760], [[[2, 10], [14, 1]], 1/1300561920], [[[2, 12], [4, 2]], 1/31391848857600], [[[2, 12], [6, 2]], 1/133772083200], [[[2, 12], [10, 1]], 1/408748032000], [[[2, 14], [6, 1]], 1/153035263180800], [[[4, 2], [28, 1]], 1/56], [[[4, 4], [8, 2]], 1/393216], [[[4, 4], [12, 2]], 1/4608], [[[4, 4], [20, 1]], 1/3840], [[[4, 6], [12, 1]], 1/737280], [[[8, 2], [24, 1]], 1/96], [[[1, 1], [2, 1], [4, 7]], 1/11010048], [[[1, 1], [2, 3], [4, 6]], 1/47185920], [[[1, 1], [2, 3], [8, 3]], 1/147456], [[[1, 1], [2, 3], [14, 2]], 1/784], [[[1, 1], [2, 3], [26, 1]], 1/104], [[[1, 1], [2, 5], [4, 5]], 17/157286400], [[[1, 1], [2, 5], [22, 1]], 1/2112], [[[1, 1], [2, 7], [4, 4]], 1/566231040], [[[1, 1], [2, 7], [6, 4]], 1/497664], [[[1, 1], [2, 7], [8, 2]], 1/11796480], [[[1, 1], [2, 7], [10, 2]], 1/153600], [[[1, 1], [2, 7], [16, 1]], 1/10321920], [[[1, 1], [2, 9], [4, 3]], 11/14269022208], [[[1, 1], [2, 9], [6, 3]], 1/9953280], [[[1, 1], [2, 9], [14, 1]], 1/18063360], [[[1, 1], [2, 11], [4, 2]], 1/237817036800], [[[1, 1], [2, 11], [6, 2]], 1/1486356480], [[[1, 1], [2, 11], [8, 1]], 1/653996851200], [[[1, 1], [2, 11], [10, 1]], 1/3715891200], [[[1, 1], [2, 13], [4, 1]], 1/7557296947200], [[[1, 1], [2, 13], [6, 1]], 1/980995276800], [[[1, 2], [2, 2], [4, 6]], 97/31457280], [[[1, 2], [2, 2], [7, 2]], 1/1568], [[[1, 2], [2, 2], [8, 3]], 1/24576], [[[1, 2], [2, 2], [13, 1]], 1/208], [[[1, 2], [2, 2], [14, 2]], 1/1568], [[[1, 2], [2, 2], [26, 1]], 1/208], [[[1, 2], [2, 4], [4, 5]], 31/23592960], [[[1, 2], [2, 4], [11, 1]], 1/8448], [[[1, 2], [2, 4], [22, 1]], 7/4224], [[[1, 2], [2, 6], [4, 4]], 1567/1132462080], [[[1, 2], [2, 6], [5, 2]], 1/4608000], [[[1, 2], [2, 6], [6, 4]], 1/331776], [[[1, 2], [2, 6], [8, 2]], 31/23592960], [[[1, 2], [2, 6], [10, 2]], 13/307200], [[[1, 2], [2, 6], [16, 1]], 1/245760], [[[1, 2], [2, 8], [4, 3]], 43/990904320], [[[1, 2], [2, 8], [6, 3]], 7/6635520], [[[1, 2], [2, 8], [7, 1]], 1/144506880], [[[1, 2], [2, 8], [14, 1]], 43/36126720], [[[1, 2], [2, 10], [3, 2]], 1/133772083200], [[[1, 2], [2, 10], [4, 2]], 11/5872025600], [[[1, 2], [2, 10], [5, 1]], 1/37158912000], [[[1, 2], [2, 10], [6, 2]], 19/990904320], [[[1, 2], [2, 10], [8, 1]], 1/5945425920], [[[1, 2], [2, 10], [10, 1]], 73/7431782400], [[[1, 2], [2, 12], [3, 1]], 1/11771943321600], [[[1, 2], [2, 12], [4, 1]], 23/1307993702400], [[[1, 2], [2, 12], [6, 1]], 37/653996851200], [[[1, 2], [3, 1], [4, 6]], 1/17694720], [[[1, 2], [3, 1], [13, 1]], 1/78], [[[1, 2], [4, 1], [8, 3]], 1/49152], [[[1, 2], [4, 2], [11, 1]], 1/704], [[[1, 2], [4, 3], [16, 1]], 1/24576], [[[1, 2], [4, 4], [7, 1]], 1/86016], [[[1, 2], [4, 5], [8, 1]], 1/3932160], [[[1, 2], [5, 1], [11, 1]], 1/110], [[[1, 2], [7, 1], [8, 2]], 1/1792], [[[1, 3], [2, 1], [4, 6]], 1/47185920], [[[1, 3], [2, 1], [7, 2]], 1/784], [[[1, 3], [2, 1], [8, 3]], 1/147456], [[[1, 3], [2, 1], [13, 1]], 1/104], [[[1, 3], [2, 3], [4, 5]], 4609/141557760], [[[1, 3], [2, 3], [11, 1]], 1/704], [[[1, 3], [2, 3], [22, 1]], 1/704], [[[1, 3], [2, 5], [4, 4]], 215/12582912], [[[1, 3], [2, 5], [5, 2]], 1/153600], [[[1, 3], [2, 5], [6, 4]], 1/497664], [[[1, 3], [2, 5], [8, 2]], 5/786432], [[[1, 3], [2, 5], [10, 2]], 1/15360], [[[1, 3], [2, 5], [16, 1]], 61/1474560], [[[1, 3], [2, 7], [4, 3]], 17137/5945425920], [[[1, 3], [2, 7], [6, 3]], 1/331776], [[[1, 3], [2, 7], [7, 1]], 1/2580480], [[[1, 3], [2, 7], [14, 1]], 23/2580480], [[[1, 3], [2, 9], [3, 2]], 1/1486356480], [[[1, 3], [2, 9], [4, 2]], 319/3170893824], [[[1, 3], [2, 9], [5, 1]], 1/412876800], [[[1, 3], [2, 9], [6, 2]], 11/53084160], [[[1, 3], [2, 9], [8, 1]], 31/5096079360], [[[1, 3], [2, 9], [10, 1]], 1/6881280], [[[1, 3], [2, 11], [3, 1]], 1/89181388800], [[[1, 3], [2, 11], [4, 1]], 6337/7847962214400], [[[1, 3], [2, 11], [6, 1]], 5/3567255552], [[[1, 4], [2, 2], [4, 5]], 31/23592960], [[[1, 4], [2, 2], [11, 1]], 7/4224], [[[1, 4], [2, 2], [22, 1]], 1/8448], [[[1, 4], [2, 4], [3, 4]], 1/5971968], [[[1, 4], [2, 4], [4, 4]], 4505/50331648], [[[1, 4], [2, 4], [5, 2]], 13/307200], [[[1, 4], [2, 4], [6, 4]], 1/5971968], [[[1, 4], [2, 4], [8, 2]], 97/9437184], [[[1, 4], [2, 4], [10, 2]], 13/307200], [[[1, 4], [2, 4], [16, 1]], 7/73728], [[[1, 4], [2, 6], [3, 3]], 1/59719680], [[[1, 4], [2, 6], [4, 3]], 1597/47185920], [[[1, 4], [2, 6], [6, 3]], 37/11943936], [[[1, 4], [2, 6], [7, 1]], 13/2211840], [[[1, 4], [2, 6], [14, 1]], 241/10321920], [[[1, 4], [2, 8], [3, 2]], 19/990904320], [[[1, 4], [2, 8], [4, 2]], 3763/2348810240], [[[1, 4], [2, 8], [5, 1]], 169/2477260800], [[[1, 4], [2, 8], [6, 2]], 541/637009920], [[[1, 4], [2, 8], [8, 1]], 43/495452160], [[[1, 4], [2, 8], [10, 1]], 1093/1238630400], [[[1, 4], [2, 10], [3, 1]], 271/535088332800], [[[1, 4], [2, 10], [4, 1]], 227/14269022208], [[[1, 4], [2, 10], [6, 1]], 3457/214035333120], [[[1, 4], [3, 1], [11, 1]], 1/528], [[[1, 4], [3, 2], [4, 4]], 1/1769472], [[[1, 4], [3, 2], [5, 2]], 1/7200], [[[1, 4], [3, 2], [8, 2]], 1/36864], [[[1, 4], [3, 3], [7, 1]], 1/9072], [[[1, 4], [3, 3], [9, 1]], 1/1296], [[[1, 4], [3, 4], [4, 2]], 1/497664], [[[1, 4], [4, 2], [5, 2]], 1/25600], [[[1, 4], [4, 2], [8, 2]], 1/786432], [[[1, 4], [4, 2], [12, 2]], 1/55296], [[[1, 4], [4, 2], [20, 1]], 1/15360], [[[1, 4], [4, 4], [5, 1]], 1/1474560], [[[1, 4], [4, 4], [12, 1]], 1/884736], [[[1, 4], [5, 1], [8, 2]], 1/30720], [[[1, 4], [8, 1], [16, 1]], 1/24576], [[[1, 5], [2, 1], [4, 5]], 17/157286400], [[[1, 5], [2, 1], [11, 1]], 1/2112], [[[1, 5], [2, 3], [3, 4]], 1/497664], [[[1, 5], [2, 3], [4, 4]], 215/12582912], [[[1, 5], [2, 3], [5, 2]], 1/15360], [[[1, 5], [2, 3], [8, 2]], 5/786432], [[[1, 5], [2, 3], [10, 2]], 1/153600], [[[1, 5], [2, 3], [16, 1]], 61/1474560], [[[1, 5], [2, 5], [3, 3]], 1/1990656], [[[1, 5], [2, 5], [4, 3]], 21439/314572800], [[[1, 5], [2, 5], [6, 3]], 1/1990656], [[[1, 5], [2, 5], [7, 1]], 13/516096], [[[1, 5], [2, 5], [14, 1]], 13/516096], [[[1, 5], [2, 7], [3, 2]], 11/53084160], [[[1, 5], [2, 7], [4, 2]], 9349/1132462080], [[[1, 5], [2, 7], [5, 1]], 31/44236800], [[[1, 5], [2, 7], [6, 2]], 149/106168320], [[[1, 5], [2, 7], [8, 1]], 4621/9909043200], [[[1, 5], [2, 7], [10, 1]], 13/5898240], [[[1, 5], [2, 9], [3, 1]], 19/1981808640], [[[1, 5], [2, 9], [4, 1]], 197371/1426902220800], [[[1, 5], [2, 9], [6, 1]], 253/2972712960], [[[1, 6], [2, 2], [3, 4]], 1/331776], [[[1, 6], [2, 2], [4, 4]], 1567/1132462080], [[[1, 6], [2, 2], [5, 2]], 13/307200], [[[1, 6], [2, 2], [8, 2]], 31/23592960], [[[1, 6], [2, 2], [10, 2]], 1/4608000], [[[1, 6], [2, 2], [16, 1]], 1/245760], [[[1, 6], [2, 4], [3, 3]], 37/11943936], [[[1, 6], [2, 4], [4, 3]], 1597/47185920], [[[1, 6], [2, 4], [6, 3]], 1/59719680], [[[1, 6], [2, 4], [7, 1]], 241/10321920], [[[1, 6], [2, 4], [14, 1]], 13/2211840], [[[1, 6], [2, 6], [3, 2]], 541/637009920], [[[1, 6], [2, 6], [4, 2]], 94223/6794772480], [[[1, 6], [2, 6], [5, 1]], 2101/884736000], [[[1, 6], [2, 6], [6, 2]], 541/637009920], [[[1, 6], [2, 6], [8, 1]], 563/707788800], [[[1, 6], [2, 6], [10, 1]], 2101/884736000], [[[1, 6], [2, 8], [3, 1]], 2987/39636172800], [[[1, 6], [2, 8], [4, 1]], 10291/19818086400], [[[1, 6], [2, 8], [6, 1]], 18271/89181388800], [[[1, 6], [3, 1], [4, 4]], 1/70778880], [[[1, 6], [3, 1], [5, 2]], 1/28800], [[[1, 6], [3, 1], [8, 2]], 1/1474560], [[[1, 6], [3, 2], [7, 1]], 1/24192], [[[1, 6], [3, 2], [9, 1]], 1/20736], [[[1, 6], [3, 3], [4, 2]], 1/995328], [[[1, 6], [3, 3], [5, 1]], 1/51840], [[[1, 6], [4, 1], [16, 1]], 1/1474560], [[[1, 6], [4, 2], [7, 1]], 1/860160], [[[1, 6], [4, 3], [8, 1]], 1/70778880], [[[1, 6], [5, 1], [7, 1]], 1/26880], [[[1, 7], [2, 1], [3, 4]], 1/497664], [[[1, 7], [2, 1], [4, 4]], 1/566231040], [[[1, 7], [2, 1], [5, 2]], 1/153600], [[[1, 7], [2, 1], [8, 2]], 1/11796480], [[[1, 7], [2, 1], [16, 1]], 1/10321920], [[[1, 7], [2, 3], [3, 3]], 1/331776], [[[1, 7], [2, 3], [4, 3]], 17137/5945425920], [[[1, 7], [2, 3], [7, 1]], 23/2580480], [[[1, 7], [2, 3], [14, 1]], 1/2580480], [[[1, 7], [2, 5], [3, 2]], 149/106168320], [[[1, 7], [2, 5], [4, 2]], 9349/1132462080], [[[1, 7], [2, 5], [5, 1]], 13/5898240], [[[1, 7], [2, 5], [6, 2]], 11/53084160], [[[1, 7], [2, 5], [8, 1]], 4621/9909043200], [[[1, 7], [2, 5], [10, 1]], 31/44236800], [[[1, 7], [2, 7], [3, 1]], 461/2123366400], [[[1, 7], [2, 7], [4, 1]], 236507/277453209600], [[[1, 7], [2, 7], [6, 1]], 461/2123366400], [[[1, 8], [2, 2], [3, 3]], 7/6635520], [[[1, 8], [2, 2], [4, 3]], 43/990904320], [[[1, 8], [2, 2], [7, 1]], 43/36126720], [[[1, 8], [2, 2], [14, 1]], 1/144506880], [[[1, 8], [2, 4], [3, 2]], 541/637009920], [[[1, 8], [2, 4], [4, 2]], 3763/2348810240], [[[1, 8], [2, 4], [5, 1]], 1093/1238630400], [[[1, 8], [2, 4], [6, 2]], 19/990904320], [[[1, 8], [2, 4], [8, 1]], 43/495452160], [[[1, 8], [2, 4], [10, 1]], 169/2477260800], [[[1, 8], [2, 6], [3, 1]], 18271/89181388800], [[[1, 8], [2, 6], [4, 1]], 10291/19818086400], [[[1, 8], [2, 6], [6, 1]], 2987/39636172800], [[[1, 8], [3, 1], [7, 1]], 1/1935360], [[[1, 8], [3, 1], [9, 1]], 1/5806080], [[[1, 8], [3, 2], [4, 2]], 1/53084160], [[[1, 8], [3, 2], [5, 1]], 1/1382400], [[[1, 8], [4, 2], [5, 1]], 1/103219200], [[[1, 8], [4, 2], [12, 1]], 1/247726080], [[[1, 9], [2, 1], [3, 3]], 1/9953280], [[[1, 9], [2, 1], [4, 3]], 11/14269022208], [[[1, 9], [2, 1], [7, 1]], 1/18063360], [[[1, 9], [2, 3], [3, 2]], 11/53084160], [[[1, 9], [2, 3], [4, 2]], 319/3170893824], [[[1, 9], [2, 3], [5, 1]], 1/6881280], [[[1, 9], [2, 3], [6, 2]], 1/1486356480], [[[1, 9], [2, 3], [8, 1]], 31/5096079360], [[[1, 9], [2, 3], [10, 1]], 1/412876800], [[[1, 9], [2, 5], [3, 1]], 253/2972712960], [[[1, 9], [2, 5], [4, 1]], 197371/1426902220800], [[[1, 9], [2, 5], [6, 1]], 19/1981808640], [[[1, 10], [2, 2], [3, 2]], 19/990904320], [[[1, 10], [2, 2], [4, 2]], 11/5872025600], [[[1, 10], [2, 2], [5, 1]], 73/7431782400], [[[1, 10], [2, 2], [6, 2]], 1/133772083200], [[[1, 10], [2, 2], [8, 1]], 1/5945425920], [[[1, 10], [2, 2], [10, 1]], 1/37158912000], [[[1, 10], [2, 4], [3, 1]], 3457/214035333120], [[[1, 10], [2, 4], [4, 1]], 227/14269022208], [[[1, 10], [2, 4], [6, 1]], 271/535088332800], [[[1, 10], [3, 1], [4, 2]], 1/17836277760], [[[1, 10], [3, 1], [5, 1]], 1/309657600], [[[1, 10], [4, 1], [8, 1]], 1/59454259200], [[[1, 11], [2, 1], [3, 2]], 1/1486356480], [[[1, 11], [2, 1], [4, 2]], 1/237817036800], [[[1, 11], [2, 1], [5, 1]], 1/3715891200], [[[1, 11], [2, 1], [8, 1]], 1/653996851200], [[[1, 11], [2, 3], [3, 1]], 5/3567255552], [[[1, 11], [2, 3], [4, 1]], 6337/7847962214400], [[[1, 11], [2, 3], [6, 1]], 1/89181388800], [[[1, 12], [2, 2], [3, 1]], 37/653996851200], [[[1, 12], [2, 2], [4, 1]], 23/1307993702400], [[[1, 12], [2, 2], [6, 1]], 1/11771943321600], [[[1, 13], [2, 1], [3, 1]], 1/980995276800], [[[1, 13], [2, 1], [4, 1]], 1/7557296947200], [[[2, 2], [4, 1], [8, 3]], 1/49152], [[[2, 2], [4, 2], [22, 1]], 1/704], [[[2, 2], [4, 3], [16, 1]], 1/24576], [[[2, 2], [4, 4], [14, 1]], 1/86016], [[[2, 2], [4, 5], [8, 1]], 1/3932160], [[[2, 2], [4, 6], [6, 1]], 1/17694720], [[[2, 2], [6, 1], [26, 1]], 1/78], [[[2, 2], [8, 2], [14, 1]], 1/1792], [[[2, 2], [10, 1], [22, 1]], 1/110], [[[2, 4], [4, 2], [6, 4]], 1/497664], [[[2, 4], [4, 2], [8, 2]], 1/786432], [[[2, 4], [4, 2], [10, 2]], 1/25600], [[[2, 4], [4, 2], [12, 2]], 1/55296], [[[2, 4], [4, 2], [20, 1]], 1/15360], [[[2, 4], [4, 4], [6, 2]], 1/1769472], [[[2, 4], [4, 4], [10, 1]], 1/1474560], [[[2, 4], [4, 4], [12, 1]], 1/884736], [[[2, 4], [6, 1], [22, 1]], 1/528], [[[2, 4], [6, 2], [8, 2]], 1/36864], [[[2, 4], [6, 2], [10, 2]], 1/7200], [[[2, 4], [6, 3], [14, 1]], 1/9072], [[[2, 4], [6, 3], [18, 1]], 1/1296], [[[2, 4], [8, 1], [16, 1]], 1/24576], [[[2, 4], [8, 2], [10, 1]], 1/30720], [[[2, 6], [4, 1], [16, 1]], 1/1474560], [[[2, 6], [4, 2], [6, 3]], 1/995328], [[[2, 6], [4, 2], [14, 1]], 1/860160], [[[2, 6], [4, 3], [8, 1]], 1/70778880], [[[2, 6], [4, 4], [6, 1]], 1/70778880], [[[2, 6], [6, 1], [8, 2]], 1/1474560], [[[2, 6], [6, 1], [10, 2]], 1/28800], [[[2, 6], [6, 2], [14, 1]], 1/24192], [[[2, 6], [6, 2], [18, 1]], 1/20736], [[[2, 6], [6, 3], [10, 1]], 1/51840], [[[2, 6], [10, 1], [14, 1]], 1/26880], [[[2, 8], [4, 2], [6, 2]], 1/53084160], [[[2, 8], [4, 2], [10, 1]], 1/103219200], [[[2, 8], [4, 2], [12, 1]], 1/247726080], [[[2, 8], [6, 1], [14, 1]], 1/1935360], [[[2, 8], [6, 1], [18, 1]], 1/5806080], [[[2, 8], [6, 2], [10, 1]], 1/1382400], [[[2, 10], [4, 1], [8, 1]], 1/59454259200], [[[2, 10], [4, 2], [6, 1]], 1/17836277760], [[[2, 10], [6, 1], [10, 1]], 1/309657600], [[[4, 2], [8, 1], [16, 1]], 1/2048], [[[4, 2], [8, 2], [12, 1]], 1/3072], [[[4, 2], [12, 1], [20, 1]], 1/120], [[[1, 1], [2, 1], [3, 1], [8, 3]], 1/18432], [[[1, 1], [2, 1], [4, 1], [8, 3]], 25/24576], [[[1, 1], [2, 1], [4, 1], [13, 1]], 1/104], [[[1, 1], [2, 1], [4, 1], [26, 1]], 1/104], [[[1, 1], [2, 1], [4, 1], [28, 1]], 1/56], [[[1, 1], [2, 1], [4, 3], [8, 2]], 7/98304], [[[1, 1], [2, 1], [4, 3], [12, 2]], 1/768], [[[1, 1], [2, 1], [4, 3], [16, 1]], 1/12288], [[[1, 1], [2, 1], [4, 3], [20, 1]], 1/256], [[[1, 1], [2, 1], [4, 5], [5, 1]], 1/1228800], [[[1, 1], [2, 1], [4, 5], [8, 1]], 41/1966080], [[[1, 1], [2, 1], [4, 5], [10, 1]], 1/1228800], [[[1, 1], [2, 1], [4, 5], [12, 1]], 1/16384], [[[1, 1], [2, 1], [6, 1], [8, 3]], 1/18432], [[[1, 1], [2, 1], [7, 1], [16, 1]], 1/224], [[[1, 1], [2, 1], [8, 1], [11, 1]], 1/176], [[[1, 1], [2, 1], [8, 1], [22, 1]], 1/176], [[[1, 1], [2, 1], [14, 1], [16, 1]], 1/224], [[[1, 1], [2, 3], [3, 1], [4, 5]], 1/17694720], [[[1, 1], [2, 3], [4, 1], [11, 1]], 1/2112], [[[1, 1], [2, 3], [4, 1], [22, 1]], 5/704], [[[1, 1], [2, 3], [4, 2], [8, 2]], 33/65536], [[[1, 1], [2, 3], [4, 2], [10, 2]], 1/12800], [[[1, 1], [2, 3], [4, 2], [12, 2]], 1/4608], [[[1, 1], [2, 3], [4, 2], [16, 1]], 13/24576], [[[1, 1], [2, 3], [4, 2], [20, 1]], 1/1280], [[[1, 1], [2, 3], [4, 3], [6, 3]], 1/497664], [[[1, 1], [2, 3], [4, 3], [7, 1]], 1/129024], [[[1, 1], [2, 3], [4, 3], [14, 1]], 13/43008], [[[1, 1], [2, 3], [4, 4], [6, 2]], 1/884736], [[[1, 1], [2, 3], [4, 4], [8, 1]], 25/2359296], [[[1, 1], [2, 3], [4, 4], [10, 1]], 1/245760], [[[1, 1], [2, 3], [4, 4], [12, 1]], 1/73728], [[[1, 1], [2, 3], [4, 5], [6, 1]], 7/1966080], [[[1, 1], [2, 3], [5, 1], [10, 2]], 1/200], [[[1, 1], [2, 3], [5, 1], [16, 1]], 1/3840], [[[1, 1], [2, 3], [6, 1], [22, 1]], 1/264], [[[1, 1], [2, 3], [6, 2], [8, 2]], 1/18432], [[[1, 1], [2, 3], [6, 2], [16, 1]], 1/2304], [[[1, 1], [2, 3], [7, 1], [14, 1]], 1/112], [[[1, 1], [2, 3], [8, 1], [10, 2]], 1/3200], [[[1, 1], [2, 3], [8, 1], [16, 1]], 1/2048], [[[1, 1], [2, 3], [8, 1], [24, 1]], 1/1152], [[[1, 1], [2, 3], [8, 2], [10, 1]], 1/5120], [[[1, 1], [2, 3], [10, 1], [16, 1]], 1/1280], [[[1, 1], [2, 5], [3, 1], [6, 4]], 1/15552], [[[1, 1], [2, 5], [3, 1], [16, 1]], 1/184320], [[[1, 1], [2, 5], [4, 1], [6, 4]], 1/82944], [[[1, 1], [2, 5], [4, 1], [8, 2]], 11/1966080], [[[1, 1], [2, 5], [4, 1], [10, 2]], 7/38400], [[[1, 1], [2, 5], [4, 1], [16, 1]], 1/49152], [[[1, 1], [2, 5], [4, 1], [20, 1]], 1/76800], [[[1, 1], [2, 5], [4, 2], [6, 3]], 1/165888], [[[1, 1], [2, 5], [4, 2], [14, 1]], 1/43008], [[[1, 1], [2, 5], [4, 3], [5, 1]], 1/7372800], [[[1, 1], [2, 5], [4, 3], [6, 2]], 19/1327104], [[[1, 1], [2, 5], [4, 3], [8, 1]], 25/2359296], [[[1, 1], [2, 5], [4, 3], [10, 1]], 5/294912], [[[1, 1], [2, 5], [4, 3], [12, 1]], 7/491520], [[[1, 1], [2, 5], [4, 4], [6, 1]], 1/3538944], [[[1, 1], [2, 5], [6, 1], [8, 2]], 1/73728], [[[1, 1], [2, 5], [6, 1], [10, 2]], 1/4800], [[[1, 1], [2, 5], [6, 1], [16, 1]], 1/36864], [[[1, 1], [2, 5], [6, 2], [14, 1]], 1/4032], [[[1, 1], [2, 5], [6, 2], [18, 1]], 1/1728], [[[1, 1], [2, 5], [6, 3], [8, 1]], 1/82944], [[[1, 1], [2, 5], [6, 3], [10, 1]], 1/25920], [[[1, 1], [2, 5], [7, 1], [8, 1]], 1/215040], [[[1, 1], [2, 5], [8, 1], [14, 1]], 1/43008], [[[1, 1], [2, 5], [10, 1], [14, 1]], 1/2240], [[[1, 1], [2, 7], [3, 1], [4, 3]], 1/743178240], [[[1, 1], [2, 7], [3, 1], [6, 3]], 1/165888], [[[1, 1], [2, 7], [4, 1], [6, 3]], 1/221184], [[[1, 1], [2, 7], [4, 1], [7, 1]], 1/18063360], [[[1, 1], [2, 7], [4, 1], [14, 1]], 13/2580480], [[[1, 1], [2, 7], [4, 2], [6, 2]], 1/1769472], [[[1, 1], [2, 7], [4, 2], [8, 1]], 29/165150720], [[[1, 1], [2, 7], [4, 2], [10, 1]], 1/2457600], [[[1, 1], [2, 7], [4, 2], [12, 1]], 1/4423680], [[[1, 1], [2, 7], [4, 3], [6, 1]], 37/106168320], [[[1, 1], [2, 7], [5, 1], [8, 1]], 1/25804800], [[[1, 1], [2, 7], [5, 1], [10, 1]], 1/460800], [[[1, 1], [2, 7], [6, 1], [14, 1]], 1/64512], [[[1, 1], [2, 7], [6, 1], [18, 1]], 1/138240], [[[1, 1], [2, 7], [6, 2], [8, 1]], 1/2211840], [[[1, 1], [2, 7], [6, 2], [10, 1]], 1/69120], [[[1, 1], [2, 7], [8, 1], [10, 1]], 1/3686400], [[[1, 1], [2, 9], [3, 1], [6, 2]], 1/23224320], [[[1, 1], [2, 9], [3, 1], [8, 1]], 1/4459069440], [[[1, 1], [2, 9], [4, 1], [5, 1]], 1/3715891200], [[[1, 1], [2, 9], [4, 1], [6, 2]], 1/12386304], [[[1, 1], [2, 9], [4, 1], [8, 1]], 1/73400320], [[[1, 1], [2, 9], [4, 1], [10, 1]], 17/412876800], [[[1, 1], [2, 9], [4, 1], [12, 1]], 1/2229534720], [[[1, 1], [2, 9], [4, 2], [6, 1]], 1/247726080], [[[1, 1], [2, 9], [6, 1], [8, 1]], 1/495452160], [[[1, 1], [2, 9], [6, 1], [10, 1]], 1/5529600], [[[1, 1], [2, 11], [3, 1], [4, 1]], 1/980995276800], [[[1, 1], [2, 11], [3, 1], [6, 1]], 1/22295347200], [[[1, 1], [2, 11], [4, 1], [6, 1]], 1/4246732800], [[[1, 2], [2, 2], [3, 1], [4, 5]], 1/2949120], [[[1, 2], [2, 2], [3, 1], [11, 1]], 1/528], [[[1, 2], [2, 2], [3, 1], [22, 1]], 1/264], [[[1, 2], [2, 2], [3, 2], [4, 4]], 1/1769472], [[[1, 2], [2, 2], [3, 2], [8, 2]], 1/36864], [[[1, 2], [2, 2], [3, 2], [10, 2]], 1/7200], [[[1, 2], [2, 2], [4, 1], [11, 1]], 1/352], [[[1, 2], [2, 2], [4, 1], [22, 1]], 1/352], [[[1, 2], [2, 2], [4, 2], [5, 2]], 1/25600], [[[1, 2], [2, 2], [4, 2], [8, 2]], 675/131072], [[[1, 2], [2, 2], [4, 2], [10, 2]], 1/25600], [[[1, 2], [2, 2], [4, 2], [12, 2]], 1/3072], [[[1, 2], [2, 2], [4, 2], [16, 1]], 5/4096], [[[1, 2], [2, 2], [4, 2], [20, 1]], 11/2560], [[[1, 2], [2, 2], [4, 3], [7, 1]], 1/21504], [[[1, 2], [2, 2], [4, 3], [14, 1]], 1/21504], [[[1, 2], [2, 2], [4, 4], [5, 1]], 17/491520], [[[1, 2], [2, 2], [4, 4], [6, 2]], 1/1769472], [[[1, 2], [2, 2], [4, 4], [8, 1]], 233/393216], [[[1, 2], [2, 2], [4, 4], [10, 1]], 17/491520], [[[1, 2], [2, 2], [4, 4], [12, 1]], 25/49152], [[[1, 2], [2, 2], [4, 5], [6, 1]], 1/2949120], [[[1, 2], [2, 2], [5, 1], [8, 2]], 1/10240], [[[1, 2], [2, 2], [5, 1], [10, 2]], 1/2000], [[[1, 2], [2, 2], [5, 1], [16, 1]], 1/640], [[[1, 2], [2, 2], [5, 2], [6, 2]], 1/7200], [[[1, 2], [2, 2], [5, 2], [10, 1]], 1/2000], [[[1, 2], [2, 2], [6, 1], [11, 1]], 1/264], [[[1, 2], [2, 2], [6, 1], [22, 1]], 1/528], [[[1, 2], [2, 2], [6, 2], [8, 2]], 1/36864], [[[1, 2], [2, 2], [7, 1], [14, 1]], 1/49], [[[1, 2], [2, 2], [8, 1], [16, 1]], 3/4096], [[[1, 2], [2, 2], [8, 1], [24, 1]], 1/192], [[[1, 2], [2, 2], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 2], [10, 1], [16, 1]], 1/640], [[[1, 2], [2, 4], [3, 1], [4, 4]], 11/4718592], [[[1, 2], [2, 4], [3, 1], [6, 4]], 1/186624], [[[1, 2], [2, 4], [3, 1], [8, 2]], 1/294912], [[[1, 2], [2, 4], [3, 1], [10, 2]], 1/9600], [[[1, 2], [2, 4], [3, 1], [16, 1]], 1/9216], [[[1, 2], [2, 4], [3, 2], [6, 3]], 55/93312], [[[1, 2], [2, 4], [3, 2], [9, 1]], 1/20736], [[[1, 2], [2, 4], [3, 2], [14, 1]], 1/24192], [[[1, 2], [2, 4], [4, 1], [8, 2]], 23/98304], [[[1, 2], [2, 4], [4, 1], [10, 2]], 3/6400], [[[1, 2], [2, 4], [4, 1], [16, 1]], 29/98304], [[[1, 2], [2, 4], [4, 1], [20, 1]], 1/3840], [[[1, 2], [2, 4], [4, 2], [6, 3]], 1/36864], [[[1, 2], [2, 4], [4, 2], [7, 1]], 17/172032], [[[1, 2], [2, 4], [4, 2], [14, 1]], 79/86016], [[[1, 2], [2, 4], [4, 3], [5, 1]], 1/368640], [[[1, 2], [2, 4], [4, 3], [6, 2]], 7/221184], [[[1, 2], [2, 4], [4, 3], [8, 1]], 925/4718592], [[[1, 2], [2, 4], [4, 3], [10, 1]], 13/122880], [[[1, 2], [2, 4], [4, 3], [12, 1]], 13/73728], [[[1, 2], [2, 4], [4, 4], [6, 1]], 343/7077888], [[[1, 2], [2, 4], [5, 1], [6, 3]], 1/25920], [[[1, 2], [2, 4], [5, 1], [7, 1]], 1/26880], [[[1, 2], [2, 4], [5, 1], [14, 1]], 1/6720], [[[1, 2], [2, 4], [5, 2], [6, 1]], 1/28800], [[[1, 2], [2, 4], [6, 1], [8, 2]], 7/147456], [[[1, 2], [2, 4], [6, 1], [10, 2]], 1/9600], [[[1, 2], [2, 4], [6, 1], [16, 1]], 1/3072], [[[1, 2], [2, 4], [6, 2], [7, 1]], 1/8064], [[[1, 2], [2, 4], [6, 2], [14, 1]], 1/8064], [[[1, 2], [2, 4], [6, 2], [18, 1]], 1/1152], [[[1, 2], [2, 4], [6, 3], [8, 1]], 1/41472], [[[1, 2], [2, 4], [6, 3], [10, 1]], 1/51840], [[[1, 2], [2, 4], [7, 1], [8, 1]], 1/10752], [[[1, 2], [2, 4], [7, 1], [10, 1]], 1/6720], [[[1, 2], [2, 4], [8, 1], [14, 1]], 1/3584], [[[1, 2], [2, 4], [10, 1], [14, 1]], 3/4480], [[[1, 2], [2, 6], [3, 1], [4, 3]], 1/17694720], [[[1, 2], [2, 6], [3, 1], [6, 3]], 7/93312], [[[1, 2], [2, 6], [3, 1], [7, 1]], 1/1935360], [[[1, 2], [2, 6], [3, 1], [9, 1]], 1/829440], [[[1, 2], [2, 6], [3, 1], [14, 1]], 1/322560], [[[1, 2], [2, 6], [3, 2], [4, 2]], 1/53084160], [[[1, 2], [2, 6], [3, 2], [6, 2]], 19/995328], [[[1, 2], [2, 6], [3, 2], [10, 1]], 1/1382400], [[[1, 2], [2, 6], [4, 1], [6, 3]], 5/165888], [[[1, 2], [2, 6], [4, 1], [7, 1]], 1/430080], [[[1, 2], [2, 6], [4, 1], [14, 1]], 3/28672], [[[1, 2], [2, 6], [4, 2], [5, 1]], 1/589824], [[[1, 2], [2, 6], [4, 2], [6, 2]], 47/1179648], [[[1, 2], [2, 6], [4, 2], [8, 1]], 197/3932160], [[[1, 2], [2, 6], [4, 2], [10, 1]], 221/4915200], [[[1, 2], [2, 6], [4, 2], [12, 1]], 11/1769472], [[[1, 2], [2, 6], [4, 3], [6, 1]], 25/3538944], [[[1, 2], [2, 6], [5, 1], [6, 2]], 1/276480], [[[1, 2], [2, 6], [5, 1], [8, 1]], 1/614400], [[[1, 2], [2, 6], [5, 1], [10, 1]], 13/192000], [[[1, 2], [2, 6], [6, 1], [7, 1]], 1/322560], [[[1, 2], [2, 6], [6, 1], [14, 1]], 13/129024], [[[1, 2], [2, 6], [6, 1], [18, 1]], 7/92160], [[[1, 2], [2, 6], [6, 2], [8, 1]], 1/110592], [[[1, 2], [2, 6], [6, 2], [10, 1]], 7/138240], [[[1, 2], [2, 6], [8, 1], [10, 1]], 1/122880], [[[1, 2], [2, 8], [3, 1], [4, 2]], 11/660602880], [[[1, 2], [2, 8], [3, 1], [5, 1]], 1/309657600], [[[1, 2], [2, 8], [3, 1], [6, 2]], 37/19906560], [[[1, 2], [2, 8], [3, 1], [8, 1]], 1/61931520], [[[1, 2], [2, 8], [3, 1], [10, 1]], 1/38707200], [[[1, 2], [2, 8], [3, 2], [6, 1]], 1/139345920], [[[1, 2], [2, 8], [4, 1], [5, 1]], 1/51609600], [[[1, 2], [2, 8], [4, 1], [6, 2]], 11/4423680], [[[1, 2], [2, 8], [4, 1], [8, 1]], 197/264241152], [[[1, 2], [2, 8], [4, 1], [10, 1]], 13/7372800], [[[1, 2], [2, 8], [4, 1], [12, 1]], 1/30965760], [[[1, 2], [2, 8], [4, 2], [6, 1]], 29/33030144], [[[1, 2], [2, 8], [5, 1], [6, 1]], 1/38707200], [[[1, 2], [2, 8], [6, 1], [8, 1]], 1/8847360], [[[1, 2], [2, 8], [6, 1], [10, 1]], 31/11059200], [[[1, 2], [2, 10], [3, 1], [4, 1]], 1/8918138880], [[[1, 2], [2, 10], [3, 1], [6, 1]], 1/238878720], [[[1, 2], [2, 10], [4, 1], [6, 1]], 17/990904320], [[[1, 2], [3, 1], [4, 2], [8, 2]], 1/24576], [[[1, 2], [3, 1], [4, 2], [12, 2]], 1/1728], [[[1, 2], [3, 1], [4, 2], [20, 1]], 1/480], [[[1, 2], [3, 1], [4, 4], [5, 1]], 1/184320], [[[1, 2], [3, 1], [4, 4], [12, 1]], 1/27648], [[[1, 2], [3, 1], [5, 1], [8, 2]], 1/3840], [[[1, 2], [3, 1], [5, 1], [15, 1]], 1/30], [[[1, 2], [3, 1], [7, 1], [9, 1]], 1/126], [[[1, 2], [3, 1], [8, 1], [16, 1]], 1/768], [[[1, 2], [3, 2], [4, 1], [16, 1]], 1/2304], [[[1, 2], [3, 2], [4, 2], [9, 1]], 1/1728], [[[1, 2], [3, 2], [4, 3], [8, 1]], 1/110592], [[[1, 2], [4, 1], [5, 1], [16, 1]], 1/640], [[[1, 2], [4, 1], [5, 2], [8, 1]], 1/3200], [[[1, 2], [4, 1], [8, 1], [20, 1]], 1/640], [[[1, 2], [4, 1], [8, 1], [24, 1]], 1/384], [[[1, 2], [4, 1], [12, 1], [16, 1]], 1/768], [[[1, 2], [4, 2], [5, 1], [7, 1]], 1/2240], [[[1, 2], [4, 2], [7, 1], [12, 1]], 1/672], [[[1, 2], [4, 3], [5, 1], [8, 1]], 1/30720], [[[1, 2], [4, 3], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 1], [3, 1], [4, 5]], 7/1966080], [[[1, 3], [2, 1], [3, 1], [11, 1]], 1/264], [[[1, 3], [2, 1], [3, 2], [4, 4]], 1/884736], [[[1, 3], [2, 1], [3, 2], [8, 2]], 1/18432], [[[1, 3], [2, 1], [3, 2], [16, 1]], 1/2304], [[[1, 3], [2, 1], [3, 3], [4, 3]], 1/497664], [[[1, 3], [2, 1], [4, 1], [11, 1]], 5/704], [[[1, 3], [2, 1], [4, 1], [22, 1]], 1/2112], [[[1, 3], [2, 1], [4, 2], [5, 2]], 1/12800], [[[1, 3], [2, 1], [4, 2], [8, 2]], 33/65536], [[[1, 3], [2, 1], [4, 2], [12, 2]], 1/4608], [[[1, 3], [2, 1], [4, 2], [16, 1]], 13/24576], [[[1, 3], [2, 1], [4, 2], [20, 1]], 1/1280], [[[1, 3], [2, 1], [4, 3], [7, 1]], 13/43008], [[[1, 3], [2, 1], [4, 3], [14, 1]], 1/129024], [[[1, 3], [2, 1], [4, 4], [5, 1]], 1/245760], [[[1, 3], [2, 1], [4, 4], [8, 1]], 25/2359296], [[[1, 3], [2, 1], [4, 4], [12, 1]], 1/73728], [[[1, 3], [2, 1], [4, 5], [6, 1]], 1/17694720], [[[1, 3], [2, 1], [5, 1], [8, 2]], 1/5120], [[[1, 3], [2, 1], [5, 1], [16, 1]], 1/1280], [[[1, 3], [2, 1], [5, 2], [8, 1]], 1/3200], [[[1, 3], [2, 1], [5, 2], [10, 1]], 1/200], [[[1, 3], [2, 1], [7, 1], [14, 1]], 1/112], [[[1, 3], [2, 1], [8, 1], [16, 1]], 1/2048], [[[1, 3], [2, 1], [8, 1], [24, 1]], 1/1152], [[[1, 3], [2, 1], [10, 1], [16, 1]], 1/3840], [[[1, 3], [2, 3], [3, 1], [4, 4]], 17/1179648], [[[1, 3], [2, 3], [3, 1], [8, 2]], 1/24576], [[[1, 3], [2, 3], [3, 1], [10, 2]], 1/4800], [[[1, 3], [2, 3], [3, 1], [16, 1]], 7/18432], [[[1, 3], [2, 3], [3, 2], [4, 3]], 19/1327104], [[[1, 3], [2, 3], [3, 2], [6, 3]], 1/5184], [[[1, 3], [2, 3], [3, 2], [9, 1]], 1/1728], [[[1, 3], [2, 3], [3, 2], [14, 1]], 1/4032], [[[1, 3], [2, 3], [3, 3], [6, 2]], 1/5184], [[[1, 3], [2, 3], [3, 3], [8, 1]], 1/248832], [[[1, 3], [2, 3], [4, 1], [5, 2]], 7/38400], [[[1, 3], [2, 3], [4, 1], [8, 2]], 649/589824], [[[1, 3], [2, 3], [4, 1], [10, 2]], 7/38400], [[[1, 3], [2, 3], [4, 1], [16, 1]], 29/24576], [[[1, 3], [2, 3], [4, 1], [20, 1]], 19/23040], [[[1, 3], [2, 3], [4, 2], [7, 1]], 9/14336], [[[1, 3], [2, 3], [4, 2], [14, 1]], 9/14336], [[[1, 3], [2, 3], [4, 3], [5, 1]], 187/737280], [[[1, 3], [2, 3], [4, 3], [6, 2]], 19/1327104], [[[1, 3], [2, 3], [4, 3], [8, 1]], 2741/1179648], [[[1, 3], [2, 3], [4, 3], [10, 1]], 187/737280], [[[1, 3], [2, 3], [4, 3], [12, 1]], 271/442368], [[[1, 3], [2, 3], [4, 4], [6, 1]], 17/1179648], [[[1, 3], [2, 3], [5, 1], [7, 1]], 1/2240], [[[1, 3], [2, 3], [5, 1], [14, 1]], 1/1120], [[[1, 3], [2, 3], [5, 2], [6, 1]], 1/4800], [[[1, 3], [2, 3], [6, 1], [8, 2]], 1/24576], [[[1, 3], [2, 3], [6, 1], [16, 1]], 7/18432], [[[1, 3], [2, 3], [6, 2], [7, 1]], 1/4032], [[[1, 3], [2, 3], [6, 2], [18, 1]], 1/1728], [[[1, 3], [2, 3], [6, 3], [8, 1]], 1/248832], [[[1, 3], [2, 3], [7, 1], [8, 1]], 1/3072], [[[1, 3], [2, 3], [7, 1], [10, 1]], 1/1120], [[[1, 3], [2, 3], [8, 1], [14, 1]], 1/3072], [[[1, 3], [2, 3], [10, 1], [14, 1]], 1/2240], [[[1, 3], [2, 5], [3, 1], [4, 3]], 187/11796480], [[[1, 3], [2, 5], [3, 1], [6, 3]], 31/248832], [[[1, 3], [2, 5], [3, 1], [7, 1]], 1/64512], [[[1, 3], [2, 5], [3, 1], [9, 1]], 1/27648], [[[1, 3], [2, 5], [3, 1], [14, 1]], 1/16128], [[[1, 3], [2, 5], [3, 2], [4, 2]], 1/1769472], [[[1, 3], [2, 5], [3, 2], [6, 2]], 23/82944], [[[1, 3], [2, 5], [3, 2], [8, 1]], 1/2211840], [[[1, 3], [2, 5], [3, 2], [10, 1]], 1/69120], [[[1, 3], [2, 5], [3, 3], [4, 1]], 1/9953280], [[[1, 3], [2, 5], [3, 3], [6, 1]], 1/165888], [[[1, 3], [2, 5], [4, 1], [6, 3]], 19/995328], [[[1, 3], [2, 5], [4, 1], [7, 1]], 41/860160], [[[1, 3], [2, 5], [4, 1], [14, 1]], 205/516096], [[[1, 3], [2, 5], [4, 2], [5, 1]], 17/491520], [[[1, 3], [2, 5], [4, 2], [6, 2]], 101/884736], [[[1, 3], [2, 5], [4, 2], [8, 1]], 14761/23592960], [[[1, 3], [2, 5], [4, 2], [10, 1]], 5/16384], [[[1, 3], [2, 5], [4, 2], [12, 1]], 7/98304], [[[1, 3], [2, 5], [4, 3], [6, 1]], 2557/21233664], [[[1, 3], [2, 5], [5, 1], [6, 2]], 1/23040], [[[1, 3], [2, 5], [5, 1], [8, 1]], 7/409600], [[[1, 3], [2, 5], [5, 1], [10, 1]], 73/153600], [[[1, 3], [2, 5], [6, 1], [7, 1]], 1/16128], [[[1, 3], [2, 5], [6, 1], [14, 1]], 5/32256], [[[1, 3], [2, 5], [6, 1], [18, 1]], 1/4608], [[[1, 3], [2, 5], [6, 2], [8, 1]], 19/663552], [[[1, 3], [2, 5], [6, 2], [10, 1]], 1/23040], [[[1, 3], [2, 5], [8, 1], [10, 1]], 37/737280], [[[1, 3], [2, 7], [3, 1], [4, 2]], 5/7077888], [[[1, 3], [2, 7], [3, 1], [5, 1]], 1/5529600], [[[1, 3], [2, 7], [3, 1], [6, 2]], 17/829440], [[[1, 3], [2, 7], [3, 1], [8, 1]], 43/123863040], [[[1, 3], [2, 7], [3, 1], [10, 1]], 1/921600], [[[1, 3], [2, 7], [3, 2], [4, 1]], 1/12386304], [[[1, 3], [2, 7], [3, 2], [6, 1]], 1/1658880], [[[1, 3], [2, 7], [4, 1], [5, 1]], 71/103219200], [[[1, 3], [2, 7], [4, 1], [6, 2]], 451/26542080], [[[1, 3], [2, 7], [4, 1], [8, 1]], 283/23592960], [[[1, 3], [2, 7], [4, 1], [10, 1]], 847/44236800], [[[1, 3], [2, 7], [4, 1], [12, 1]], 127/185794560], [[[1, 3], [2, 7], [4, 2], [6, 1]], 623/35389440], [[[1, 3], [2, 7], [5, 1], [6, 1]], 1/921600], [[[1, 3], [2, 7], [6, 1], [8, 1]], 91/53084160], [[[1, 3], [2, 7], [6, 1], [10, 1]], 1/73728], [[[1, 3], [2, 9], [3, 1], [4, 1]], 109/17836277760], [[[1, 3], [2, 9], [3, 1], [6, 1]], 187/1486356480], [[[1, 3], [2, 9], [4, 1], [6, 1]], 319/849346560], [[[1, 4], [2, 2], [3, 1], [4, 4]], 343/7077888], [[[1, 4], [2, 2], [3, 1], [5, 2]], 1/9600], [[[1, 4], [2, 2], [3, 1], [8, 2]], 7/147456], [[[1, 4], [2, 2], [3, 1], [10, 2]], 1/28800], [[[1, 4], [2, 2], [3, 1], [16, 1]], 1/3072], [[[1, 4], [2, 2], [3, 2], [4, 3]], 7/221184], [[[1, 4], [2, 2], [3, 2], [7, 1]], 1/8064], [[[1, 4], [2, 2], [3, 2], [9, 1]], 1/1152], [[[1, 4], [2, 2], [3, 2], [14, 1]], 1/8064], [[[1, 4], [2, 2], [3, 3], [4, 2]], 1/36864], [[[1, 4], [2, 2], [3, 3], [5, 1]], 1/51840], [[[1, 4], [2, 2], [3, 3], [6, 2]], 55/93312], [[[1, 4], [2, 2], [3, 3], [8, 1]], 1/41472], [[[1, 4], [2, 2], [3, 3], [10, 1]], 1/25920], [[[1, 4], [2, 2], [3, 4], [6, 1]], 1/186624], [[[1, 4], [2, 2], [4, 1], [5, 2]], 3/6400], [[[1, 4], [2, 2], [4, 1], [8, 2]], 23/98304], [[[1, 4], [2, 2], [4, 1], [16, 1]], 29/98304], [[[1, 4], [2, 2], [4, 1], [20, 1]], 1/3840], [[[1, 4], [2, 2], [4, 2], [7, 1]], 79/86016], [[[1, 4], [2, 2], [4, 2], [14, 1]], 17/172032], [[[1, 4], [2, 2], [4, 3], [5, 1]], 13/122880], [[[1, 4], [2, 2], [4, 3], [8, 1]], 925/4718592], [[[1, 4], [2, 2], [4, 3], [10, 1]], 1/368640], [[[1, 4], [2, 2], [4, 3], [12, 1]], 13/73728], [[[1, 4], [2, 2], [4, 4], [6, 1]], 11/4718592], [[[1, 4], [2, 2], [5, 1], [7, 1]], 3/4480], [[[1, 4], [2, 2], [5, 1], [14, 1]], 1/6720], [[[1, 4], [2, 2], [5, 2], [6, 1]], 1/9600], [[[1, 4], [2, 2], [6, 1], [8, 2]], 1/294912], [[[1, 4], [2, 2], [6, 1], [16, 1]], 1/9216], [[[1, 4], [2, 2], [6, 2], [7, 1]], 1/24192], [[[1, 4], [2, 2], [6, 2], [18, 1]], 1/20736], [[[1, 4], [2, 2], [7, 1], [8, 1]], 1/3584], [[[1, 4], [2, 2], [7, 1], [10, 1]], 1/6720], [[[1, 4], [2, 2], [8, 1], [14, 1]], 1/10752], [[[1, 4], [2, 2], [10, 1], [14, 1]], 1/26880], [[[1, 4], [2, 4], [3, 1], [4, 3]], 61/589824], [[[1, 4], [2, 4], [3, 1], [6, 3]], 7/93312], [[[1, 4], [2, 4], [3, 1], [7, 1]], 13/129024], [[[1, 4], [2, 4], [3, 1], [9, 1]], 37/165888], [[[1, 4], [2, 4], [3, 1], [14, 1]], 19/96768], [[[1, 4], [2, 4], [3, 2], [4, 2]], 47/1179648], [[[1, 4], [2, 4], [3, 2], [5, 1]], 1/276480], [[[1, 4], [2, 4], [3, 2], [6, 2]], 35/55296], [[[1, 4], [2, 4], [3, 2], [8, 1]], 1/110592], [[[1, 4], [2, 4], [3, 2], [10, 1]], 7/138240], [[[1, 4], [2, 4], [3, 3], [4, 1]], 1/497664], [[[1, 4], [2, 4], [3, 3], [6, 1]], 7/93312], [[[1, 4], [2, 4], [4, 1], [6, 3]], 1/497664], [[[1, 4], [2, 4], [4, 1], [7, 1]], 5/14336], [[[1, 4], [2, 4], [4, 1], [14, 1]], 5/14336], [[[1, 4], [2, 4], [4, 2], [5, 1]], 661/2949120], [[[1, 4], [2, 4], [4, 2], [6, 2]], 47/1179648], [[[1, 4], [2, 4], [4, 2], [8, 1]], 1379/1179648], [[[1, 4], [2, 4], [4, 2], [10, 1]], 661/2949120], [[[1, 4], [2, 4], [4, 2], [12, 1]], 235/1179648], [[[1, 4], [2, 4], [4, 3], [6, 1]], 61/589824], [[[1, 4], [2, 4], [5, 1], [6, 2]], 7/138240], [[[1, 4], [2, 4], [5, 1], [8, 1]], 1/20480], [[[1, 4], [2, 4], [5, 1], [10, 1]], 47/57600], [[[1, 4], [2, 4], [6, 1], [7, 1]], 19/96768], [[[1, 4], [2, 4], [6, 1], [14, 1]], 13/129024], [[[1, 4], [2, 4], [6, 1], [18, 1]], 37/165888], [[[1, 4], [2, 4], [6, 2], [8, 1]], 1/110592], [[[1, 4], [2, 4], [6, 2], [10, 1]], 1/276480], [[[1, 4], [2, 4], [8, 1], [10, 1]], 1/20480], [[[1, 4], [2, 6], [3, 1], [4, 2]], 2323/212336640], [[[1, 4], [2, 6], [3, 1], [5, 1]], 31/11059200], [[[1, 4], [2, 6], [3, 1], [6, 2]], 253/3981312], [[[1, 4], [2, 6], [3, 1], [8, 1]], 23/8847360], [[[1, 4], [2, 6], [3, 1], [10, 1]], 61/5529600], [[[1, 4], [2, 6], [3, 2], [4, 1]], 11/4423680], [[[1, 4], [2, 6], [3, 2], [6, 1]], 1/81920], [[[1, 4], [2, 6], [4, 1], [5, 1]], 83/7372800], [[[1, 4], [2, 6], [4, 1], [6, 2]], 37/1327104], [[[1, 4], [2, 6], [4, 1], [8, 1]], 17869/283115520], [[[1, 4], [2, 6], [4, 1], [10, 1]], 17/294912], [[[1, 4], [2, 6], [4, 1], [12, 1]], 7/1474560], [[[1, 4], [2, 6], [4, 2], [6, 1]], 3307/47185920], [[[1, 4], [2, 6], [5, 1], [6, 1]], 61/5529600], [[[1, 4], [2, 6], [6, 1], [8, 1]], 13/1769472], [[[1, 4], [2, 6], [6, 1], [10, 1]], 97/4423680], [[[1, 4], [2, 8], [3, 1], [4, 1]], 43/247726080], [[[1, 4], [2, 8], [3, 1], [6, 1]], 41/27869184], [[[1, 4], [2, 8], [4, 1], [6, 1]], 307/106168320], [[[1, 4], [3, 1], [4, 1], [16, 1]], 1/9216], [[[1, 4], [3, 1], [4, 2], [7, 1]], 1/10752], [[[1, 4], [3, 1], [4, 2], [9, 1]], 1/13824], [[[1, 4], [3, 1], [4, 3], [8, 1]], 1/442368], [[[1, 4], [3, 1], [5, 1], [7, 1]], 1/840], [[[1, 4], [3, 1], [5, 1], [9, 1]], 1/720], [[[1, 4], [3, 2], [4, 2], [5, 1]], 1/23040], [[[1, 4], [3, 2], [4, 2], [12, 1]], 1/13824], [[[1, 4], [3, 3], [4, 1], [8, 1]], 1/41472], [[[1, 4], [4, 1], [7, 1], [8, 1]], 1/10752], [[[1, 4], [4, 2], [5, 1], [12, 1]], 1/11520], [[[1, 5], [2, 1], [3, 1], [4, 4]], 1/3538944], [[[1, 5], [2, 1], [3, 1], [5, 2]], 1/4800], [[[1, 5], [2, 1], [3, 1], [8, 2]], 1/73728], [[[1, 5], [2, 1], [3, 1], [16, 1]], 1/36864], [[[1, 5], [2, 1], [3, 2], [4, 3]], 19/1327104], [[[1, 5], [2, 1], [3, 2], [7, 1]], 1/4032], [[[1, 5], [2, 1], [3, 2], [9, 1]], 1/1728], [[[1, 5], [2, 1], [3, 3], [4, 2]], 1/165888], [[[1, 5], [2, 1], [3, 3], [5, 1]], 1/25920], [[[1, 5], [2, 1], [3, 3], [8, 1]], 1/82944], [[[1, 5], [2, 1], [3, 4], [4, 1]], 1/82944], [[[1, 5], [2, 1], [3, 4], [6, 1]], 1/15552], [[[1, 5], [2, 1], [4, 1], [5, 2]], 7/38400], [[[1, 5], [2, 1], [4, 1], [8, 2]], 11/1966080], [[[1, 5], [2, 1], [4, 1], [16, 1]], 1/49152], [[[1, 5], [2, 1], [4, 1], [20, 1]], 1/76800], [[[1, 5], [2, 1], [4, 2], [7, 1]], 1/43008], [[[1, 5], [2, 1], [4, 3], [5, 1]], 5/294912], [[[1, 5], [2, 1], [4, 3], [8, 1]], 25/2359296], [[[1, 5], [2, 1], [4, 3], [10, 1]], 1/7372800], [[[1, 5], [2, 1], [4, 3], [12, 1]], 7/491520], [[[1, 5], [2, 1], [5, 1], [7, 1]], 1/2240], [[[1, 5], [2, 1], [6, 1], [16, 1]], 1/184320], [[[1, 5], [2, 1], [7, 1], [8, 1]], 1/43008], [[[1, 5], [2, 1], [8, 1], [14, 1]], 1/215040], [[[1, 5], [2, 3], [3, 1], [4, 3]], 2557/21233664], [[[1, 5], [2, 3], [3, 1], [6, 3]], 1/165888], [[[1, 5], [2, 3], [3, 1], [7, 1]], 5/32256], [[[1, 5], [2, 3], [3, 1], [9, 1]], 1/4608], [[[1, 5], [2, 3], [3, 1], [14, 1]], 1/16128], [[[1, 5], [2, 3], [3, 2], [4, 2]], 101/884736], [[[1, 5], [2, 3], [3, 2], [5, 1]], 1/23040], [[[1, 5], [2, 3], [3, 2], [6, 2]], 23/82944], [[[1, 5], [2, 3], [3, 2], [8, 1]], 19/663552], [[[1, 5], [2, 3], [3, 2], [10, 1]], 1/23040], [[[1, 5], [2, 3], [3, 3], [4, 1]], 19/995328], [[[1, 5], [2, 3], [3, 3], [6, 1]], 31/248832], [[[1, 5], [2, 3], [4, 1], [6, 3]], 1/9953280], [[[1, 5], [2, 3], [4, 1], [7, 1]], 205/516096], [[[1, 5], [2, 3], [4, 1], [14, 1]], 41/860160], [[[1, 5], [2, 3], [4, 2], [5, 1]], 5/16384], [[[1, 5], [2, 3], [4, 2], [6, 2]], 1/1769472], [[[1, 5], [2, 3], [4, 2], [8, 1]], 14761/23592960], [[[1, 5], [2, 3], [4, 2], [10, 1]], 17/491520], [[[1, 5], [2, 3], [4, 2], [12, 1]], 7/98304], [[[1, 5], [2, 3], [4, 3], [6, 1]], 187/11796480], [[[1, 5], [2, 3], [5, 1], [6, 2]], 1/69120], [[[1, 5], [2, 3], [5, 1], [8, 1]], 37/737280], [[[1, 5], [2, 3], [5, 1], [10, 1]], 73/153600], [[[1, 5], [2, 3], [6, 1], [7, 1]], 1/16128], [[[1, 5], [2, 3], [6, 1], [14, 1]], 1/64512], [[[1, 5], [2, 3], [6, 1], [18, 1]], 1/27648], [[[1, 5], [2, 3], [6, 2], [8, 1]], 1/2211840], [[[1, 5], [2, 3], [8, 1], [10, 1]], 7/409600], [[[1, 5], [2, 5], [3, 1], [4, 2]], 445/7077888], [[[1, 5], [2, 5], [3, 1], [5, 1]], 1/73728], [[[1, 5], [2, 5], [3, 1], [6, 2]], 43/663552], [[[1, 5], [2, 5], [3, 1], [8, 1]], 241/35389440], [[[1, 5], [2, 5], [3, 1], [10, 1]], 7/276480], [[[1, 5], [2, 5], [3, 2], [4, 1]], 451/26542080], [[[1, 5], [2, 5], [3, 2], [6, 1]], 43/663552], [[[1, 5], [2, 5], [4, 1], [5, 1]], 1721/29491200], [[[1, 5], [2, 5], [4, 1], [6, 2]], 451/26542080], [[[1, 5], [2, 5], [4, 1], [8, 1]], 5149/47185920], [[[1, 5], [2, 5], [4, 1], [10, 1]], 1721/29491200], [[[1, 5], [2, 5], [4, 1], [12, 1]], 89/9830400], [[[1, 5], [2, 5], [4, 2], [6, 1]], 445/7077888], [[[1, 5], [2, 5], [5, 1], [6, 1]], 7/276480], [[[1, 5], [2, 5], [6, 1], [8, 1]], 241/35389440], [[[1, 5], [2, 5], [6, 1], [10, 1]], 1/73728], [[[1, 5], [2, 7], [3, 1], [4, 1]], 2063/990904320], [[[1, 5], [2, 7], [3, 1], [6, 1]], 709/106168320], [[[1, 5], [2, 7], [4, 1], [6, 1]], 16561/2123366400], [[[1, 6], [2, 2], [3, 1], [4, 3]], 25/3538944], [[[1, 6], [2, 2], [3, 1], [7, 1]], 13/129024], [[[1, 6], [2, 2], [3, 1], [9, 1]], 7/92160], [[[1, 6], [2, 2], [3, 1], [14, 1]], 1/322560], [[[1, 6], [2, 2], [3, 2], [4, 2]], 47/1179648], [[[1, 6], [2, 2], [3, 2], [5, 1]], 7/138240], [[[1, 6], [2, 2], [3, 2], [6, 2]], 19/995328], [[[1, 6], [2, 2], [3, 2], [8, 1]], 1/110592], [[[1, 6], [2, 2], [3, 2], [10, 1]], 1/276480], [[[1, 6], [2, 2], [3, 3], [4, 1]], 5/165888], [[[1, 6], [2, 2], [3, 3], [6, 1]], 7/93312], [[[1, 6], [2, 2], [4, 1], [7, 1]], 3/28672], [[[1, 6], [2, 2], [4, 1], [14, 1]], 1/430080], [[[1, 6], [2, 2], [4, 2], [5, 1]], 221/4915200], [[[1, 6], [2, 2], [4, 2], [6, 2]], 1/53084160], [[[1, 6], [2, 2], [4, 2], [8, 1]], 197/3932160], [[[1, 6], [2, 2], [4, 2], [10, 1]], 1/589824], [[[1, 6], [2, 2], [4, 2], [12, 1]], 11/1769472], [[[1, 6], [2, 2], [4, 3], [6, 1]], 1/17694720], [[[1, 6], [2, 2], [5, 1], [6, 2]], 1/1382400], [[[1, 6], [2, 2], [5, 1], [8, 1]], 1/122880], [[[1, 6], [2, 2], [5, 1], [10, 1]], 13/192000], [[[1, 6], [2, 2], [6, 1], [7, 1]], 1/322560], [[[1, 6], [2, 2], [6, 1], [14, 1]], 1/1935360], [[[1, 6], [2, 2], [6, 1], [18, 1]], 1/829440], [[[1, 6], [2, 2], [8, 1], [10, 1]], 1/614400], [[[1, 6], [2, 4], [3, 1], [4, 2]], 3307/47185920], [[[1, 6], [2, 4], [3, 1], [5, 1]], 97/4423680], [[[1, 6], [2, 4], [3, 1], [6, 2]], 1/81920], [[[1, 6], [2, 4], [3, 1], [8, 1]], 13/1769472], [[[1, 6], [2, 4], [3, 1], [10, 1]], 61/5529600], [[[1, 6], [2, 4], [3, 2], [4, 1]], 37/1327104], [[[1, 6], [2, 4], [3, 2], [6, 1]], 253/3981312], [[[1, 6], [2, 4], [4, 1], [5, 1]], 17/294912], [[[1, 6], [2, 4], [4, 1], [6, 2]], 11/4423680], [[[1, 6], [2, 4], [4, 1], [8, 1]], 17869/283115520], [[[1, 6], [2, 4], [4, 1], [10, 1]], 83/7372800], [[[1, 6], [2, 4], [4, 1], [12, 1]], 7/1474560], [[[1, 6], [2, 4], [4, 2], [6, 1]], 2323/212336640], [[[1, 6], [2, 4], [5, 1], [6, 1]], 61/5529600], [[[1, 6], [2, 4], [6, 1], [8, 1]], 23/8847360], [[[1, 6], [2, 4], [6, 1], [10, 1]], 31/11059200], [[[1, 6], [2, 6], [3, 1], [4, 1]], 13/1572864], [[[1, 6], [2, 6], [3, 1], [6, 1]], 253/22118400], [[[1, 6], [2, 6], [4, 1], [6, 1]], 13/1572864], [[[1, 6], [3, 1], [4, 2], [5, 1]], 1/368640], [[[1, 6], [3, 1], [4, 2], [12, 1]], 1/552960], [[[1, 6], [3, 2], [4, 1], [8, 1]], 1/442368], [[[1, 6], [4, 1], [5, 1], [8, 1]], 1/614400], [[[1, 6], [4, 1], [8, 1], [12, 1]], 1/2211840], [[[1, 7], [2, 1], [3, 1], [4, 3]], 37/106168320], [[[1, 7], [2, 1], [3, 1], [7, 1]], 1/64512], [[[1, 7], [2, 1], [3, 1], [9, 1]], 1/138240], [[[1, 7], [2, 1], [3, 2], [4, 2]], 1/1769472], [[[1, 7], [2, 1], [3, 2], [5, 1]], 1/69120], [[[1, 7], [2, 1], [3, 2], [8, 1]], 1/2211840], [[[1, 7], [2, 1], [3, 3], [4, 1]], 1/221184], [[[1, 7], [2, 1], [3, 3], [6, 1]], 1/165888], [[[1, 7], [2, 1], [4, 1], [7, 1]], 13/2580480], [[[1, 7], [2, 1], [4, 1], [14, 1]], 1/18063360], [[[1, 7], [2, 1], [4, 2], [5, 1]], 1/2457600], [[[1, 7], [2, 1], [4, 2], [8, 1]], 29/165150720], [[[1, 7], [2, 1], [4, 2], [12, 1]], 1/4423680], [[[1, 7], [2, 1], [4, 3], [6, 1]], 1/743178240], [[[1, 7], [2, 1], [5, 1], [8, 1]], 1/3686400], [[[1, 7], [2, 1], [5, 1], [10, 1]], 1/460800], [[[1, 7], [2, 1], [8, 1], [10, 1]], 1/25804800], [[[1, 7], [2, 3], [3, 1], [4, 2]], 623/35389440], [[[1, 7], [2, 3], [3, 1], [5, 1]], 1/73728], [[[1, 7], [2, 3], [3, 1], [6, 2]], 1/1658880], [[[1, 7], [2, 3], [3, 1], [8, 1]], 91/53084160], [[[1, 7], [2, 3], [3, 1], [10, 1]], 1/921600], [[[1, 7], [2, 3], [3, 2], [4, 1]], 451/26542080], [[[1, 7], [2, 3], [3, 2], [6, 1]], 17/829440], [[[1, 7], [2, 3], [4, 1], [5, 1]], 847/44236800], [[[1, 7], [2, 3], [4, 1], [6, 2]], 1/12386304], [[[1, 7], [2, 3], [4, 1], [8, 1]], 283/23592960], [[[1, 7], [2, 3], [4, 1], [10, 1]], 71/103219200], [[[1, 7], [2, 3], [4, 1], [12, 1]], 127/185794560], [[[1, 7], [2, 3], [4, 2], [6, 1]], 5/7077888], [[[1, 7], [2, 3], [5, 1], [6, 1]], 1/921600], [[[1, 7], [2, 3], [6, 1], [8, 1]], 43/123863040], [[[1, 7], [2, 3], [6, 1], [10, 1]], 1/5529600], [[[1, 7], [2, 5], [3, 1], [4, 1]], 16561/2123366400], [[[1, 7], [2, 5], [3, 1], [6, 1]], 709/106168320], [[[1, 7], [2, 5], [4, 1], [6, 1]], 2063/990904320], [[[1, 8], [2, 2], [3, 1], [4, 2]], 29/33030144], [[[1, 8], [2, 2], [3, 1], [5, 1]], 31/11059200], [[[1, 8], [2, 2], [3, 1], [6, 2]], 1/139345920], [[[1, 8], [2, 2], [3, 1], [8, 1]], 1/8847360], [[[1, 8], [2, 2], [3, 1], [10, 1]], 1/38707200], [[[1, 8], [2, 2], [3, 2], [4, 1]], 11/4423680], [[[1, 8], [2, 2], [3, 2], [6, 1]], 37/19906560], [[[1, 8], [2, 2], [4, 1], [5, 1]], 13/7372800], [[[1, 8], [2, 2], [4, 1], [8, 1]], 197/264241152], [[[1, 8], [2, 2], [4, 1], [10, 1]], 1/51609600], [[[1, 8], [2, 2], [4, 1], [12, 1]], 1/30965760], [[[1, 8], [2, 2], [4, 2], [6, 1]], 11/660602880], [[[1, 8], [2, 2], [5, 1], [6, 1]], 1/38707200], [[[1, 8], [2, 2], [6, 1], [8, 1]], 1/61931520], [[[1, 8], [2, 2], [6, 1], [10, 1]], 1/309657600], [[[1, 8], [2, 4], [3, 1], [4, 1]], 307/106168320], [[[1, 8], [2, 4], [3, 1], [6, 1]], 41/27869184], [[[1, 8], [2, 4], [4, 1], [6, 1]], 43/247726080], [[[1, 8], [3, 1], [4, 1], [8, 1]], 1/61931520], [[[1, 9], [2, 1], [3, 1], [4, 2]], 1/247726080], [[[1, 9], [2, 1], [3, 1], [5, 1]], 1/5529600], [[[1, 9], [2, 1], [3, 1], [8, 1]], 1/495452160], [[[1, 9], [2, 1], [3, 2], [4, 1]], 1/12386304], [[[1, 9], [2, 1], [3, 2], [6, 1]], 1/23224320], [[[1, 9], [2, 1], [4, 1], [5, 1]], 17/412876800], [[[1, 9], [2, 1], [4, 1], [8, 1]], 1/73400320], [[[1, 9], [2, 1], [4, 1], [10, 1]], 1/3715891200], [[[1, 9], [2, 1], [4, 1], [12, 1]], 1/2229534720], [[[1, 9], [2, 1], [6, 1], [8, 1]], 1/4459069440], [[[1, 9], [2, 3], [3, 1], [4, 1]], 319/849346560], [[[1, 9], [2, 3], [3, 1], [6, 1]], 187/1486356480], [[[1, 9], [2, 3], [4, 1], [6, 1]], 109/17836277760], [[[1, 10], [2, 2], [3, 1], [4, 1]], 17/990904320], [[[1, 10], [2, 2], [3, 1], [6, 1]], 1/238878720], [[[1, 10], [2, 2], [4, 1], [6, 1]], 1/8918138880], [[[1, 11], [2, 1], [3, 1], [4, 1]], 1/4246732800], [[[1, 11], [2, 1], [3, 1], [6, 1]], 1/22295347200], [[[1, 11], [2, 1], [4, 1], [6, 1]], 1/980995276800], [[[2, 2], [4, 1], [6, 2], [16, 1]], 1/2304], [[[2, 2], [4, 1], [8, 1], [10, 2]], 1/3200], [[[2, 2], [4, 1], [8, 1], [20, 1]], 1/640], [[[2, 2], [4, 1], [8, 1], [24, 1]], 1/384], [[[2, 2], [4, 1], [10, 1], [16, 1]], 1/640], [[[2, 2], [4, 1], [12, 1], [16, 1]], 1/768], [[[2, 2], [4, 2], [6, 1], [8, 2]], 1/24576], [[[2, 2], [4, 2], [6, 1], [12, 2]], 1/1728], [[[2, 2], [4, 2], [6, 1], [20, 1]], 1/480], [[[2, 2], [4, 2], [6, 2], [18, 1]], 1/1728], [[[2, 2], [4, 2], [10, 1], [14, 1]], 1/2240], [[[2, 2], [4, 2], [12, 1], [14, 1]], 1/672], [[[2, 2], [4, 3], [6, 2], [8, 1]], 1/110592], [[[2, 2], [4, 3], [8, 1], [10, 1]], 1/30720], [[[2, 2], [4, 3], [8, 1], [12, 1]], 1/12288], [[[2, 2], [4, 4], [6, 1], [10, 1]], 1/184320], [[[2, 2], [4, 4], [6, 1], [12, 1]], 1/27648], [[[2, 2], [6, 1], [8, 1], [16, 1]], 1/768], [[[2, 2], [6, 1], [8, 2], [10, 1]], 1/3840], [[[2, 2], [6, 1], [10, 1], [30, 1]], 1/30], [[[2, 2], [6, 1], [14, 1], [18, 1]], 1/126], [[[2, 4], [4, 1], [6, 1], [16, 1]], 1/9216], [[[2, 4], [4, 1], [6, 3], [8, 1]], 1/41472], [[[2, 4], [4, 1], [8, 1], [14, 1]], 1/10752], [[[2, 4], [4, 2], [6, 1], [14, 1]], 1/10752], [[[2, 4], [4, 2], [6, 1], [18, 1]], 1/13824], [[[2, 4], [4, 2], [6, 2], [10, 1]], 1/23040], [[[2, 4], [4, 2], [6, 2], [12, 1]], 1/13824], [[[2, 4], [4, 2], [10, 1], [12, 1]], 1/11520], [[[2, 4], [4, 3], [6, 1], [8, 1]], 1/442368], [[[2, 4], [6, 1], [10, 1], [14, 1]], 1/840], [[[2, 4], [6, 1], [10, 1], [18, 1]], 1/720], [[[2, 6], [4, 1], [6, 2], [8, 1]], 1/442368], [[[2, 6], [4, 1], [8, 1], [10, 1]], 1/614400], [[[2, 6], [4, 1], [8, 1], [12, 1]], 1/2211840], [[[2, 6], [4, 2], [6, 1], [10, 1]], 1/368640], [[[2, 6], [4, 2], [6, 1], [12, 1]], 1/552960], [[[2, 8], [4, 1], [6, 1], [8, 1]], 1/61931520], [[[1, 1], [2, 1], [3, 1], [4, 1], [22, 1]], 1/264], [[[1, 1], [2, 1], [3, 1], [4, 2], [16, 1]], 1/3072], [[[1, 1], [2, 1], [3, 1], [4, 3], [9, 1]], 1/6912], [[[1, 1], [2, 1], [3, 1], [4, 3], [14, 1]], 1/16128], [[[1, 1], [2, 1], [3, 1], [4, 4], [8, 1]], 1/294912], [[[1, 1], [2, 1], [3, 1], [4, 5], [6, 1]], 1/2211840], [[[1, 1], [2, 1], [3, 1], [8, 1], [24, 1]], 1/144], [[[1, 1], [2, 1], [3, 1], [10, 1], [16, 1]], 1/480], [[[1, 1], [2, 1], [4, 1], [5, 1], [8, 2]], 1/5120], [[[1, 1], [2, 1], [4, 1], [5, 1], [20, 1]], 1/200], [[[1, 1], [2, 1], [4, 1], [6, 1], [11, 1]], 1/264], [[[1, 1], [2, 1], [4, 1], [7, 1], [14, 1]], 1/392], [[[1, 1], [2, 1], [4, 1], [8, 1], [16, 1]], 67/1024], [[[1, 1], [2, 1], [4, 1], [8, 1], [20, 1]], 1/320], [[[1, 1], [2, 1], [4, 1], [8, 1], [24, 1]], 1/192], [[[1, 1], [2, 1], [4, 1], [8, 2], [10, 1]], 1/5120], [[[1, 1], [2, 1], [4, 1], [8, 2], [12, 1]], 1/3072], [[[1, 1], [2, 1], [4, 1], [10, 1], [20, 1]], 1/200], [[[1, 1], [2, 1], [4, 1], [12, 1], [16, 1]], 1/384], [[[1, 1], [2, 1], [4, 2], [6, 1], [16, 1]], 1/3072], [[[1, 1], [2, 1], [4, 2], [7, 1], [8, 1]], 1/3584], [[[1, 1], [2, 1], [4, 2], [8, 1], [14, 1]], 1/3584], [[[1, 1], [2, 1], [4, 3], [5, 1], [10, 1]], 1/19200], [[[1, 1], [2, 1], [4, 3], [5, 1], [12, 1]], 1/3840], [[[1, 1], [2, 1], [4, 3], [6, 1], [7, 1]], 1/16128], [[[1, 1], [2, 1], [4, 3], [6, 1], [18, 1]], 1/6912], [[[1, 1], [2, 1], [4, 3], [8, 1], [12, 1]], 17/6144], [[[1, 1], [2, 1], [4, 3], [10, 1], [12, 1]], 1/3840], [[[1, 1], [2, 1], [4, 4], [6, 1], [8, 1]], 1/294912], [[[1, 1], [2, 1], [5, 1], [6, 1], [16, 1]], 1/480], [[[1, 1], [2, 1], [5, 1], [8, 1], [14, 1]], 1/560], [[[1, 1], [2, 1], [6, 1], [8, 1], [24, 1]], 1/144], [[[1, 1], [2, 1], [7, 1], [8, 1], [10, 1]], 1/560], [[[1, 1], [2, 3], [3, 1], [4, 1], [8, 2]], 1/73728], [[[1, 1], [2, 3], [3, 1], [4, 1], [10, 2]], 1/4800], [[[1, 1], [2, 3], [3, 1], [4, 1], [20, 1]], 1/2880], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3]], 1/13824], [[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2]], 1/165888], [[[1, 1], [2, 3], [3, 1], [4, 3], [10, 1]], 1/92160], [[[1, 1], [2, 3], [3, 1], [4, 3], [12, 1]], 1/55296], [[[1, 1], [2, 3], [3, 1], [4, 4], [6, 1]], 1/294912], [[[1, 1], [2, 3], [3, 1], [6, 1], [8, 2]], 1/6144], [[[1, 1], [2, 3], [3, 1], [6, 1], [10, 2]], 1/1200], [[[1, 1], [2, 3], [3, 1], [6, 1], [16, 1]], 1/2304], [[[1, 1], [2, 3], [3, 1], [6, 2], [14, 1]], 1/504], [[[1, 1], [2, 3], [3, 1], [6, 2], [18, 1]], 1/216], [[[1, 1], [2, 3], [3, 1], [6, 3], [8, 1]], 1/31104], [[[1, 1], [2, 3], [3, 1], [8, 1], [9, 1]], 1/3456], [[[1, 1], [2, 3], [3, 1], [8, 1], [14, 1]], 1/2688], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 3]], 1/25920], [[[1, 1], [2, 3], [4, 1], [5, 1], [14, 1]], 1/2240], [[[1, 1], [2, 3], [4, 1], [6, 1], [8, 2]], 5/24576], [[[1, 1], [2, 3], [4, 1], [6, 1], [10, 2]], 1/4800], [[[1, 1], [2, 3], [4, 1], [6, 1], [16, 1]], 1/1536], [[[1, 1], [2, 3], [4, 1], [6, 1], [20, 1]], 1/960], [[[1, 1], [2, 3], [4, 1], [6, 2], [7, 1]], 1/4032], [[[1, 1], [2, 3], [4, 1], [6, 2], [14, 1]], 1/4032], [[[1, 1], [2, 3], [4, 1], [6, 2], [18, 1]], 1/288], [[[1, 1], [2, 3], [4, 1], [6, 3], [12, 1]], 1/15552], [[[1, 1], [2, 3], [4, 1], [7, 1], [10, 1]], 1/2240], [[[1, 1], [2, 3], [4, 1], [7, 1], [12, 1]], 1/4032], [[[1, 1], [2, 3], [4, 1], [8, 1], [14, 1]], 9/1792], [[[1, 1], [2, 3], [4, 1], [10, 1], [14, 1]], 3/1120], [[[1, 1], [2, 3], [4, 1], [12, 1], [14, 1]], 1/1344], [[[1, 1], [2, 3], [4, 2], [5, 1], [8, 1]], 1/61440], [[[1, 1], [2, 3], [4, 2], [5, 1], [10, 1]], 1/2560], [[[1, 1], [2, 3], [4, 2], [6, 1], [14, 1]], 1/5376], [[[1, 1], [2, 3], [4, 2], [6, 1], [18, 1]], 1/2304], [[[1, 1], [2, 3], [4, 2], [6, 2], [8, 1]], 5/36864], [[[1, 1], [2, 3], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 1], [2, 3], [4, 2], [8, 1], [10, 1]], 9/20480], [[[1, 1], [2, 3], [4, 2], [8, 1], [12, 1]], 7/18432], [[[1, 1], [2, 3], [4, 2], [10, 1], [12, 1]], 1/1920], [[[1, 1], [2, 3], [4, 3], [5, 1], [6, 1]], 1/92160], [[[1, 1], [2, 3], [4, 3], [6, 1], [8, 1]], 25/73728], [[[1, 1], [2, 3], [4, 3], [6, 1], [10, 1]], 7/46080], [[[1, 1], [2, 3], [4, 3], [6, 1], [12, 1]], 1/2048], [[[1, 1], [2, 3], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 1], [2, 3], [5, 1], [6, 2], [10, 1]], 1/720], [[[1, 1], [2, 3], [5, 1], [8, 1], [10, 1]], 1/3200], [[[1, 1], [2, 3], [6, 1], [7, 1], [8, 1]], 1/2688], [[[1, 1], [2, 3], [6, 1], [8, 1], [14, 1]], 1/1344], [[[1, 1], [2, 3], [6, 1], [8, 1], [18, 1]], 1/1152], [[[1, 1], [2, 3], [6, 1], [10, 1], [18, 1]], 1/360], [[[1, 1], [2, 3], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3]], 1/124416], [[[1, 1], [2, 5], [3, 1], [4, 1], [9, 1]], 1/138240], [[[1, 1], [2, 5], [3, 1], [4, 1], [14, 1]], 1/64512], [[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2]], 1/55296], [[[1, 1], [2, 5], [3, 1], [4, 2], [8, 1]], 1/2949120], [[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1]], 1/2654208], [[[1, 1], [2, 5], [3, 1], [6, 1], [14, 1]], 1/4032], [[[1, 1], [2, 5], [3, 1], [6, 2], [8, 1]], 1/82944], [[[1, 1], [2, 5], [3, 1], [6, 2], [10, 1]], 1/2880], [[[1, 1], [2, 5], [3, 1], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 5], [4, 1], [5, 1], [6, 2]], 1/69120], [[[1, 1], [2, 5], [4, 1], [5, 1], [10, 1]], 1/76800], [[[1, 1], [2, 5], [4, 1], [5, 1], [12, 1]], 1/230400], [[[1, 1], [2, 5], [4, 1], [6, 1], [7, 1]], 1/64512], [[[1, 1], [2, 5], [4, 1], [6, 1], [14, 1]], 1/2304], [[[1, 1], [2, 5], [4, 1], [6, 1], [18, 1]], 1/3072], [[[1, 1], [2, 5], [4, 1], [6, 2], [8, 1]], 1/4096], [[[1, 1], [2, 5], [4, 1], [6, 2], [10, 1]], 1/4608], [[[1, 1], [2, 5], [4, 1], [6, 2], [12, 1]], 1/41472], [[[1, 1], [2, 5], [4, 1], [8, 1], [10, 1]], 3/10240], [[[1, 1], [2, 5], [4, 1], [8, 1], [12, 1]], 1/73728], [[[1, 1], [2, 5], [4, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 5], [4, 2], [6, 1], [8, 1]], 17/589824], [[[1, 1], [2, 5], [4, 2], [6, 1], [10, 1]], 1/30720], [[[1, 1], [2, 5], [4, 2], [6, 1], [12, 1]], 1/27648], [[[1, 1], [2, 5], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 1], [2, 5], [5, 1], [6, 1], [10, 1]], 1/2880], [[[1, 1], [2, 5], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2]], 1/3317760], [[[1, 1], [2, 7], [3, 1], [4, 1], [10, 1]], 1/5529600], [[[1, 1], [2, 7], [3, 1], [4, 1], [12, 1]], 1/23224320], [[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1]], 1/8847360], [[[1, 1], [2, 7], [3, 1], [6, 1], [8, 1]], 1/6635520], [[[1, 1], [2, 7], [3, 1], [6, 1], [10, 1]], 1/230400], [[[1, 1], [2, 7], [4, 1], [5, 1], [6, 1]], 1/5529600], [[[1, 1], [2, 7], [4, 1], [6, 1], [8, 1]], 1/163840], [[[1, 1], [2, 7], [4, 1], [6, 1], [10, 1]], 11/921600], [[[1, 1], [2, 7], [4, 1], [6, 1], [12, 1]], 1/3317760], [[[1, 1], [2, 9], [3, 1], [4, 1], [6, 1]], 1/743178240], [[[1, 2], [2, 2], [3, 1], [4, 1], [8, 2]], 17/12288], [[[1, 2], [2, 2], [3, 1], [4, 1], [16, 1]], 5/3072], [[[1, 2], [2, 2], [3, 1], [4, 1], [20, 1]], 1/480], [[[1, 2], [2, 2], [3, 1], [4, 2], [7, 1]], 1/10752], [[[1, 2], [2, 2], [3, 1], [4, 2], [9, 1]], 1/512], [[[1, 2], [2, 2], [3, 1], [4, 2], [14, 1]], 5/5376], [[[1, 2], [2, 2], [3, 1], [4, 3], [6, 2]], 1/27648], [[[1, 2], [2, 2], [3, 1], [4, 3], [8, 1]], 13/147456], [[[1, 2], [2, 2], [3, 1], [4, 3], [10, 1]], 1/46080], [[[1, 2], [2, 2], [3, 1], [4, 3], [12, 1]], 1/9216], [[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1]], 1/36864], [[[1, 2], [2, 2], [3, 1], [5, 1], [9, 1]], 1/720], [[[1, 2], [2, 2], [3, 1], [5, 1], [14, 1]], 1/840], [[[1, 2], [2, 2], [3, 1], [6, 1], [8, 2]], 1/2304], [[[1, 2], [2, 2], [3, 1], [6, 1], [16, 1]], 1/288], [[[1, 2], [2, 2], [3, 1], [6, 2], [7, 1]], 1/3024], [[[1, 2], [2, 2], [3, 1], [6, 2], [9, 1]], 1/1296], [[[1, 2], [2, 2], [3, 1], [6, 2], [18, 1]], 1/648], [[[1, 2], [2, 2], [3, 1], [7, 1], [10, 1]], 1/840], [[[1, 2], [2, 2], [3, 1], [8, 1], [9, 1]], 1/576], [[[1, 2], [2, 2], [3, 1], [8, 1], [14, 1]], 1/1344], [[[1, 2], [2, 2], [3, 1], [9, 1], [10, 1]], 1/360], [[[1, 2], [2, 2], [3, 1], [10, 1], [14, 1]], 1/840], [[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2]], 19/82944], [[[1, 2], [2, 2], [3, 2], [4, 2], [10, 1]], 1/23040], [[[1, 2], [2, 2], [3, 2], [4, 2], [12, 1]], 1/13824], [[[1, 2], [2, 2], [3, 2], [4, 3], [6, 1]], 1/27648], [[[1, 2], [2, 2], [3, 2], [6, 1], [9, 1]], 1/648], [[[1, 2], [2, 2], [3, 2], [6, 1], [14, 1]], 1/3024], [[[1, 2], [2, 2], [3, 2], [6, 1], [18, 1]], 1/1296], [[[1, 2], [2, 2], [3, 2], [6, 2], [8, 1]], 1/1728], [[[1, 2], [2, 2], [4, 1], [5, 1], [14, 1]], 1/1120], [[[1, 2], [2, 2], [4, 1], [6, 1], [8, 2]], 17/12288], [[[1, 2], [2, 2], [4, 1], [6, 1], [16, 1]], 5/3072], [[[1, 2], [2, 2], [4, 1], [6, 1], [20, 1]], 1/480], [[[1, 2], [2, 2], [4, 1], [7, 1], [8, 1]], 5/3584], [[[1, 2], [2, 2], [4, 1], [7, 1], [10, 1]], 1/1120], [[[1, 2], [2, 2], [4, 1], [7, 1], [12, 1]], 1/672], [[[1, 2], [2, 2], [4, 1], [8, 1], [14, 1]], 5/3584], [[[1, 2], [2, 2], [4, 1], [12, 1], [14, 1]], 1/672], [[[1, 2], [2, 2], [4, 2], [5, 1], [6, 2]], 1/23040], [[[1, 2], [2, 2], [4, 2], [5, 1], [8, 1]], 17/10240], [[[1, 2], [2, 2], [4, 2], [5, 1], [10, 1]], 1/640], [[[1, 2], [2, 2], [4, 2], [5, 1], [12, 1]], 1/768], [[[1, 2], [2, 2], [4, 2], [6, 1], [7, 1]], 5/5376], [[[1, 2], [2, 2], [4, 2], [6, 1], [14, 1]], 1/10752], [[[1, 2], [2, 2], [4, 2], [6, 1], [18, 1]], 1/512], [[[1, 2], [2, 2], [4, 2], [6, 2], [12, 1]], 1/13824], [[[1, 2], [2, 2], [4, 2], [8, 1], [10, 1]], 17/10240], [[[1, 2], [2, 2], [4, 2], [8, 1], [12, 1]], 11/3072], [[[1, 2], [2, 2], [4, 2], [10, 1], [12, 1]], 1/768], [[[1, 2], [2, 2], [4, 3], [5, 1], [6, 1]], 1/46080], [[[1, 2], [2, 2], [4, 3], [6, 1], [8, 1]], 13/147456], [[[1, 2], [2, 2], [4, 3], [6, 1], [12, 1]], 1/9216], [[[1, 2], [2, 2], [5, 1], [6, 1], [7, 1]], 1/840], [[[1, 2], [2, 2], [5, 1], [6, 1], [14, 1]], 1/840], [[[1, 2], [2, 2], [5, 1], [6, 1], [18, 1]], 1/360], [[[1, 2], [2, 2], [5, 1], [8, 1], [10, 1]], 3/800], [[[1, 2], [2, 2], [6, 1], [7, 1], [8, 1]], 1/1344], [[[1, 2], [2, 2], [6, 1], [7, 1], [10, 1]], 1/840], [[[1, 2], [2, 2], [6, 1], [8, 1], [18, 1]], 1/576], [[[1, 2], [2, 2], [6, 1], [10, 1], [18, 1]], 1/720], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3]], 7/15552], [[[1, 2], [2, 4], [3, 1], [4, 1], [9, 1]], 1/6912], [[[1, 2], [2, 4], [3, 1], [4, 1], [14, 1]], 1/5376], [[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1]], 1/368640], [[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2]], 7/36864], [[[1, 2], [2, 4], [3, 1], [4, 2], [8, 1]], 17/147456], [[[1, 2], [2, 4], [3, 1], [4, 2], [10, 1]], 13/92160], [[[1, 2], [2, 4], [3, 1], [4, 2], [12, 1]], 1/12288], [[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1]], 5/55296], [[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2]], 1/17280], [[[1, 2], [2, 4], [3, 1], [5, 1], [10, 1]], 1/14400], [[[1, 2], [2, 4], [3, 1], [6, 1], [7, 1]], 1/12096], [[[1, 2], [2, 4], [3, 1], [6, 1], [9, 1]], 1/5184], [[[1, 2], [2, 4], [3, 1], [6, 1], [14, 1]], 1/576], [[[1, 2], [2, 4], [3, 1], [6, 1], [18, 1]], 1/5184], [[[1, 2], [2, 4], [3, 1], [6, 2], [8, 1]], 1/3456], [[[1, 2], [2, 4], [3, 1], [6, 2], [10, 1]], 7/8640], [[[1, 2], [2, 4], [3, 1], [8, 1], [10, 1]], 1/7680], [[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2]], 1/6912], [[[1, 2], [2, 4], [3, 2], [4, 1], [8, 1]], 1/442368], [[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1]], 1/331776], [[[1, 2], [2, 4], [3, 2], [6, 1], [8, 1]], 1/13824], [[[1, 2], [2, 4], [3, 2], [6, 1], [10, 1]], 1/17280], [[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2]], 1/11520], [[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1]], 3/40960], [[[1, 2], [2, 4], [4, 1], [5, 1], [10, 1]], 19/9600], [[[1, 2], [2, 4], [4, 1], [5, 1], [12, 1]], 1/11520], [[[1, 2], [2, 4], [4, 1], [6, 1], [7, 1]], 1/5376], [[[1, 2], [2, 4], [4, 1], [6, 1], [14, 1]], 1/896], [[[1, 2], [2, 4], [4, 1], [6, 1], [18, 1]], 5/2304], [[[1, 2], [2, 4], [4, 1], [6, 2], [8, 1]], 43/73728], [[[1, 2], [2, 4], [4, 1], [6, 2], [10, 1]], 1/11520], [[[1, 2], [2, 4], [4, 1], [6, 2], [12, 1]], 1/6912], [[[1, 2], [2, 4], [4, 1], [8, 1], [10, 1]], 23/12288], [[[1, 2], [2, 4], [4, 1], [8, 1], [12, 1]], 13/147456], [[[1, 2], [2, 4], [4, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1]], 13/92160], [[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1]], 89/49152], [[[1, 2], [2, 4], [4, 2], [6, 1], [10, 1]], 7/12288], [[[1, 2], [2, 4], [4, 2], [6, 1], [12, 1]], 19/55296], [[[1, 2], [2, 4], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 2], [2, 4], [5, 1], [6, 1], [10, 1]], 11/4800], [[[1, 2], [2, 4], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2]], 29/331776], [[[1, 2], [2, 6], [3, 1], [4, 1], [8, 1]], 13/8847360], [[[1, 2], [2, 6], [3, 1], [4, 1], [10, 1]], 1/184320], [[[1, 2], [2, 6], [3, 1], [4, 1], [12, 1]], 1/552960], [[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1]], 1/122880], [[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1]], 1/691200], [[[1, 2], [2, 6], [3, 1], [6, 1], [8, 1]], 1/138240], [[[1, 2], [2, 6], [3, 1], [6, 1], [10, 1]], 13/138240], [[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1]], 1/552960], [[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1]], 1/184320], [[[1, 2], [2, 6], [4, 1], [6, 1], [8, 1]], 361/2949120], [[[1, 2], [2, 6], [4, 1], [6, 1], [10, 1]], 7/46080], [[[1, 2], [2, 6], [4, 1], [6, 1], [12, 1]], 1/110592], [[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1]], 13/23224320], [[[1, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1344], [[[1, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1/576], [[[1, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 1/1440], [[[1, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 1/3456], [[[1, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/960], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 2]], 1/4800], [[[1, 3], [2, 1], [3, 1], [4, 1], [8, 2]], 5/24576], [[[1, 3], [2, 1], [3, 1], [4, 1], [16, 1]], 1/1536], [[[1, 3], [2, 1], [3, 1], [4, 1], [20, 1]], 1/960], [[[1, 3], [2, 1], [3, 1], [4, 2], [7, 1]], 1/5376], [[[1, 3], [2, 1], [3, 1], [4, 2], [9, 1]], 1/2304], [[[1, 3], [2, 1], [3, 1], [4, 3], [5, 1]], 7/46080], [[[1, 3], [2, 1], [3, 1], [4, 3], [8, 1]], 25/73728], [[[1, 3], [2, 1], [3, 1], [4, 3], [10, 1]], 1/92160], [[[1, 3], [2, 1], [3, 1], [4, 3], [12, 1]], 1/2048], [[[1, 3], [2, 1], [3, 1], [4, 4], [6, 1]], 1/294912], [[[1, 3], [2, 1], [3, 1], [5, 1], [9, 1]], 1/360], [[[1, 3], [2, 1], [3, 1], [5, 2], [6, 1]], 1/1200], [[[1, 3], [2, 1], [3, 1], [6, 1], [8, 2]], 1/6144], [[[1, 3], [2, 1], [3, 1], [6, 1], [16, 1]], 1/2304], [[[1, 3], [2, 1], [3, 1], [7, 1], [8, 1]], 1/1344], [[[1, 3], [2, 1], [3, 1], [8, 1], [9, 1]], 1/1152], [[[1, 3], [2, 1], [3, 1], [8, 1], [14, 1]], 1/2688], [[[1, 3], [2, 1], [3, 2], [4, 1], [7, 1]], 1/4032], [[[1, 3], [2, 1], [3, 2], [4, 1], [9, 1]], 1/288], [[[1, 3], [2, 1], [3, 2], [4, 1], [14, 1]], 1/4032], [[[1, 3], [2, 1], [3, 2], [4, 2], [8, 1]], 5/36864], [[[1, 3], [2, 1], [3, 2], [4, 2], [12, 1]], 1/6912], [[[1, 3], [2, 1], [3, 2], [4, 3], [6, 1]], 1/165888], [[[1, 3], [2, 1], [3, 2], [5, 1], [8, 1]], 1/5760], [[[1, 3], [2, 1], [3, 2], [5, 1], [10, 1]], 1/720], [[[1, 3], [2, 1], [3, 2], [6, 1], [7, 1]], 1/504], [[[1, 3], [2, 1], [3, 2], [6, 1], [9, 1]], 1/216], [[[1, 3], [2, 1], [3, 2], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 1], [3, 3], [4, 1], [10, 1]], 1/25920], [[[1, 3], [2, 1], [3, 3], [4, 1], [12, 1]], 1/15552], [[[1, 3], [2, 1], [3, 3], [4, 2], [6, 1]], 1/13824], [[[1, 3], [2, 1], [3, 3], [6, 1], [8, 1]], 1/31104], [[[1, 3], [2, 1], [4, 1], [5, 1], [7, 1]], 3/1120], [[[1, 3], [2, 1], [4, 1], [5, 1], [14, 1]], 1/2240], [[[1, 3], [2, 1], [4, 1], [5, 2], [6, 1]], 1/4800], [[[1, 3], [2, 1], [4, 1], [6, 1], [8, 2]], 1/73728], [[[1, 3], [2, 1], [4, 1], [6, 1], [20, 1]], 1/2880], [[[1, 3], [2, 1], [4, 1], [7, 1], [8, 1]], 9/1792], [[[1, 3], [2, 1], [4, 1], [7, 1], [10, 1]], 1/2240], [[[1, 3], [2, 1], [4, 1], [7, 1], [12, 1]], 1/1344], [[[1, 3], [2, 1], [4, 1], [12, 1], [14, 1]], 1/4032], [[[1, 3], [2, 1], [4, 2], [5, 1], [8, 1]], 9/20480], [[[1, 3], [2, 1], [4, 2], [5, 1], [10, 1]], 1/2560], [[[1, 3], [2, 1], [4, 2], [5, 1], [12, 1]], 1/1920], [[[1, 3], [2, 1], [4, 2], [8, 1], [10, 1]], 1/61440], [[[1, 3], [2, 1], [4, 2], [8, 1], [12, 1]], 7/18432], [[[1, 3], [2, 1], [4, 3], [5, 1], [6, 1]], 1/92160], [[[1, 3], [2, 1], [4, 3], [6, 1], [12, 1]], 1/55296], [[[1, 3], [2, 1], [5, 1], [8, 1], [10, 1]], 1/3200], [[[1, 3], [2, 1], [6, 1], [7, 1], [8, 1]], 1/2688], [[[1, 3], [2, 1], [6, 1], [8, 1], [18, 1]], 1/3456], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3]], 1/124416], [[[1, 3], [2, 3], [3, 1], [4, 1], [7, 1]], 1/2304], [[[1, 3], [2, 3], [3, 1], [4, 1], [9, 1]], 19/13824], [[[1, 3], [2, 3], [3, 1], [4, 1], [14, 1]], 11/10752], [[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1]], 1/30720], [[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2]], 7/13824], [[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1]], 271/294912], [[[1, 3], [2, 3], [3, 1], [4, 2], [10, 1]], 1/3072], [[[1, 3], [2, 3], [3, 1], [4, 2], [12, 1]], 5/9216], [[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1]], 53/147456], [[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2]], 7/8640], [[[1, 3], [2, 3], [3, 1], [5, 1], [8, 1]], 1/23040], [[[1, 3], [2, 3], [3, 1], [5, 1], [10, 1]], 7/4800], [[[1, 3], [2, 3], [3, 1], [6, 1], [7, 1]], 5/4032], [[[1, 3], [2, 3], [3, 1], [6, 1], [9, 1]], 1/864], [[[1, 3], [2, 3], [3, 1], [6, 1], [14, 1]], 5/4032], [[[1, 3], [2, 3], [3, 1], [6, 1], [18, 1]], 1/864], [[[1, 3], [2, 3], [3, 1], [6, 2], [8, 1]], 13/27648], [[[1, 3], [2, 3], [3, 1], [6, 2], [10, 1]], 1/2880], [[[1, 3], [2, 3], [3, 1], [8, 1], [10, 1]], 1/5120], [[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1]], 1/69120], [[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2]], 23/13824], [[[1, 3], [2, 3], [3, 2], [4, 1], [8, 1]], 1/4096], [[[1, 3], [2, 3], [3, 2], [4, 1], [10, 1]], 1/4608], [[[1, 3], [2, 3], [3, 2], [4, 1], [12, 1]], 1/41472], [[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1]], 7/13824], [[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1]], 1/2880], [[[1, 3], [2, 3], [3, 2], [6, 1], [8, 1]], 13/27648], [[[1, 3], [2, 3], [3, 2], [6, 1], [10, 1]], 7/8640], [[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1]], 1/124416], [[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2]], 1/4608], [[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1]], 13/10240], [[[1, 3], [2, 3], [4, 1], [5, 1], [10, 1]], 71/12800], [[[1, 3], [2, 3], [4, 1], [5, 1], [12, 1]], 7/23040], [[[1, 3], [2, 3], [4, 1], [6, 1], [7, 1]], 11/10752], [[[1, 3], [2, 3], [4, 1], [6, 1], [14, 1]], 1/2304], [[[1, 3], [2, 3], [4, 1], [6, 1], [18, 1]], 19/13824], [[[1, 3], [2, 3], [4, 1], [6, 2], [8, 1]], 1/4096], [[[1, 3], [2, 3], [4, 1], [6, 2], [10, 1]], 1/69120], [[[1, 3], [2, 3], [4, 1], [6, 2], [12, 1]], 1/41472], [[[1, 3], [2, 3], [4, 1], [8, 1], [10, 1]], 13/10240], [[[1, 3], [2, 3], [4, 1], [8, 1], [12, 1]], 5/36864], [[[1, 3], [2, 3], [4, 1], [10, 1], [12, 1]], 7/23040], [[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1]], 1/3072], [[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1]], 271/294912], [[[1, 3], [2, 3], [4, 2], [6, 1], [10, 1]], 1/30720], [[[1, 3], [2, 3], [4, 2], [6, 1], [12, 1]], 5/9216], [[[1, 3], [2, 3], [5, 1], [6, 1], [8, 1]], 1/5120], [[[1, 3], [2, 3], [5, 1], [6, 1], [10, 1]], 7/4800], [[[1, 3], [2, 3], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1]], 11/921600], [[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2]], 199/331776], [[[1, 3], [2, 5], [3, 1], [4, 1], [8, 1]], 17/294912], [[[1, 3], [2, 5], [3, 1], [4, 1], [10, 1]], 29/368640], [[[1, 3], [2, 5], [3, 1], [4, 1], [12, 1]], 7/368640], [[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1]], 527/1769472], [[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1]], 7/138240], [[[1, 3], [2, 5], [3, 1], [6, 1], [8, 1]], 37/442368], [[[1, 3], [2, 5], [3, 1], [6, 1], [10, 1]], 1/2560], [[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1]], 11/221184], [[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1]], 29/368640], [[[1, 3], [2, 5], [4, 1], [6, 1], [8, 1]], 71/147456], [[[1, 3], [2, 5], [4, 1], [6, 1], [10, 1]], 73/276480], [[[1, 3], [2, 5], [4, 1], [6, 1], [12, 1]], 37/663552], [[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1]], 451/26542080], [[[1, 4], [2, 2], [3, 1], [4, 1], [7, 1]], 1/896], [[[1, 4], [2, 2], [3, 1], [4, 1], [9, 1]], 5/2304], [[[1, 4], [2, 2], [3, 1], [4, 1], [14, 1]], 1/5376], [[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1]], 7/12288], [[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2]], 1/331776], [[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1]], 89/49152], [[[1, 4], [2, 2], [3, 1], [4, 2], [10, 1]], 13/92160], [[[1, 4], [2, 2], [3, 1], [4, 2], [12, 1]], 19/55296], [[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1]], 5/55296], [[[1, 4], [2, 2], [3, 1], [5, 1], [6, 2]], 1/17280], [[[1, 4], [2, 2], [3, 1], [5, 1], [8, 1]], 1/3840], [[[1, 4], [2, 2], [3, 1], [5, 1], [10, 1]], 11/4800], [[[1, 4], [2, 2], [3, 1], [6, 1], [7, 1]], 1/576], [[[1, 4], [2, 2], [3, 1], [6, 1], [9, 1]], 1/5184], [[[1, 4], [2, 2], [3, 1], [6, 1], [14, 1]], 1/12096], [[[1, 4], [2, 2], [3, 1], [6, 1], [18, 1]], 1/5184], [[[1, 4], [2, 2], [3, 1], [6, 2], [8, 1]], 1/13824], [[[1, 4], [2, 2], [3, 1], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1]], 1/11520], [[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2]], 1/6912], [[[1, 4], [2, 2], [3, 2], [4, 1], [8, 1]], 43/73728], [[[1, 4], [2, 2], [3, 2], [4, 1], [10, 1]], 1/11520], [[[1, 4], [2, 2], [3, 2], [4, 1], [12, 1]], 1/6912], [[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1]], 7/36864], [[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1]], 7/8640], [[[1, 4], [2, 2], [3, 2], [6, 1], [8, 1]], 1/3456], [[[1, 4], [2, 2], [3, 2], [6, 1], [10, 1]], 1/17280], [[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1]], 7/15552], [[[1, 4], [2, 2], [4, 1], [5, 1], [8, 1]], 23/12288], [[[1, 4], [2, 2], [4, 1], [5, 1], [10, 1]], 19/9600], [[[1, 4], [2, 2], [4, 1], [5, 1], [12, 1]], 1/3840], [[[1, 4], [2, 2], [4, 1], [6, 1], [7, 1]], 1/5376], [[[1, 4], [2, 2], [4, 1], [6, 1], [18, 1]], 1/6912], [[[1, 4], [2, 2], [4, 1], [6, 2], [8, 1]], 1/442368], [[[1, 4], [2, 2], [4, 1], [8, 1], [10, 1]], 3/40960], [[[1, 4], [2, 2], [4, 1], [8, 1], [12, 1]], 13/147456], [[[1, 4], [2, 2], [4, 1], [10, 1], [12, 1]], 1/11520], [[[1, 4], [2, 2], [4, 2], [5, 1], [6, 1]], 13/92160], [[[1, 4], [2, 2], [4, 2], [6, 1], [8, 1]], 17/147456], [[[1, 4], [2, 2], [4, 2], [6, 1], [10, 1]], 1/368640], [[[1, 4], [2, 2], [4, 2], [6, 1], [12, 1]], 1/12288], [[[1, 4], [2, 2], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 4], [2, 2], [5, 1], [6, 1], [10, 1]], 1/14400], [[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1]], 7/46080], [[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2]], 1/2304], [[[1, 4], [2, 4], [3, 1], [4, 1], [8, 1]], 781/1769472], [[[1, 4], [2, 4], [3, 1], [4, 1], [10, 1]], 29/92160], [[[1, 4], [2, 4], [3, 1], [4, 1], [12, 1]], 1/18432], [[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1]], 295/331776], [[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1]], 5/13824], [[[1, 4], [2, 4], [3, 1], [6, 1], [8, 1]], 1/4608], [[[1, 4], [2, 4], [3, 1], [6, 1], [10, 1]], 5/13824], [[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1]], 1/2304], [[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1]], 29/92160], [[[1, 4], [2, 4], [4, 1], [6, 1], [8, 1]], 781/1769472], [[[1, 4], [2, 4], [4, 1], [6, 1], [10, 1]], 7/46080], [[[1, 4], [2, 4], [4, 1], [6, 1], [12, 1]], 1/18432], [[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1]], 139/1105920], [[[1, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 1/7680], [[[1, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 1/13824], [[[1, 5], [2, 1], [3, 1], [4, 1], [7, 1]], 1/2304], [[[1, 5], [2, 1], [3, 1], [4, 1], [9, 1]], 1/3072], [[[1, 5], [2, 1], [3, 1], [4, 1], [14, 1]], 1/64512], [[[1, 5], [2, 1], [3, 1], [4, 2], [5, 1]], 1/30720], [[[1, 5], [2, 1], [3, 1], [4, 2], [8, 1]], 17/589824], [[[1, 5], [2, 1], [3, 1], [4, 2], [12, 1]], 1/27648], [[[1, 5], [2, 1], [3, 1], [4, 3], [6, 1]], 1/2654208], [[[1, 5], [2, 1], [3, 1], [5, 1], [8, 1]], 1/23040], [[[1, 5], [2, 1], [3, 1], [5, 1], [10, 1]], 1/2880], [[[1, 5], [2, 1], [3, 1], [6, 1], [7, 1]], 1/4032], [[[1, 5], [2, 1], [3, 1], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1]], 1/4608], [[[1, 5], [2, 1], [3, 2], [4, 1], [8, 1]], 1/4096], [[[1, 5], [2, 1], [3, 2], [4, 1], [10, 1]], 1/69120], [[[1, 5], [2, 1], [3, 2], [4, 1], [12, 1]], 1/41472], [[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1]], 1/55296], [[[1, 5], [2, 1], [3, 2], [5, 1], [6, 1]], 1/2880], [[[1, 5], [2, 1], [3, 2], [6, 1], [8, 1]], 1/82944], [[[1, 5], [2, 1], [3, 3], [4, 1], [6, 1]], 1/124416], [[[1, 5], [2, 1], [4, 1], [5, 1], [8, 1]], 3/10240], [[[1, 5], [2, 1], [4, 1], [5, 1], [10, 1]], 1/76800], [[[1, 5], [2, 1], [4, 1], [5, 1], [12, 1]], 1/46080], [[[1, 5], [2, 1], [4, 1], [6, 1], [7, 1]], 1/64512], [[[1, 5], [2, 1], [4, 1], [6, 1], [18, 1]], 1/138240], [[[1, 5], [2, 1], [4, 1], [8, 1], [12, 1]], 1/73728], [[[1, 5], [2, 1], [4, 1], [10, 1], [12, 1]], 1/230400], [[[1, 5], [2, 1], [4, 2], [6, 1], [8, 1]], 1/2949120], [[[1, 5], [2, 1], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1]], 73/276480], [[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2]], 11/221184], [[[1, 5], [2, 3], [3, 1], [4, 1], [8, 1]], 71/147456], [[[1, 5], [2, 3], [3, 1], [4, 1], [10, 1]], 29/368640], [[[1, 5], [2, 3], [3, 1], [4, 1], [12, 1]], 37/663552], [[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1]], 527/1769472], [[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1]], 1/2560], [[[1, 5], [2, 3], [3, 1], [6, 1], [8, 1]], 37/442368], [[[1, 5], [2, 3], [3, 1], [6, 1], [10, 1]], 7/138240], [[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1]], 199/331776], [[[1, 5], [2, 3], [4, 1], [5, 1], [6, 1]], 29/368640], [[[1, 5], [2, 3], [4, 1], [6, 1], [8, 1]], 17/294912], [[[1, 5], [2, 3], [4, 1], [6, 1], [10, 1]], 11/921600], [[[1, 5], [2, 3], [4, 1], [6, 1], [12, 1]], 7/368640], [[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1]], 827/3538944], [[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1]], 7/46080], [[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2]], 1/552960], [[[1, 6], [2, 2], [3, 1], [4, 1], [8, 1]], 361/2949120], [[[1, 6], [2, 2], [3, 1], [4, 1], [10, 1]], 1/184320], [[[1, 6], [2, 2], [3, 1], [4, 1], [12, 1]], 1/110592], [[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1]], 1/122880], [[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1]], 13/138240], [[[1, 6], [2, 2], [3, 1], [6, 1], [8, 1]], 1/138240], [[[1, 6], [2, 2], [3, 1], [6, 1], [10, 1]], 1/691200], [[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1]], 29/331776], [[[1, 6], [2, 2], [4, 1], [5, 1], [6, 1]], 1/184320], [[[1, 6], [2, 2], [4, 1], [6, 1], [8, 1]], 13/8847360], [[[1, 6], [2, 2], [4, 1], [6, 1], [12, 1]], 1/552960], [[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1]], 139/1105920], [[[1, 7], [2, 1], [3, 1], [4, 1], [5, 1]], 11/921600], [[[1, 7], [2, 1], [3, 1], [4, 1], [8, 1]], 1/163840], [[[1, 7], [2, 1], [3, 1], [4, 1], [10, 1]], 1/5529600], [[[1, 7], [2, 1], [3, 1], [4, 1], [12, 1]], 1/3317760], [[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1]], 1/8847360], [[[1, 7], [2, 1], [3, 1], [5, 1], [6, 1]], 1/230400], [[[1, 7], [2, 1], [3, 1], [6, 1], [8, 1]], 1/6635520], [[[1, 7], [2, 1], [3, 2], [4, 1], [6, 1]], 1/3317760], [[[1, 7], [2, 1], [4, 1], [5, 1], [6, 1]], 1/5529600], [[[1, 7], [2, 1], [4, 1], [6, 1], [12, 1]], 1/23224320], [[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1]], 451/26542080], [[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1]], 13/23224320], [[[1, 9], [2, 1], [3, 1], [4, 1], [6, 1]], 1/743178240], [[[2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1344], [[[2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/576], [[[2, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456], [[[2, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/960], [[[2, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1440], [[[2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2]], 1/9216], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1]], 1/384], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [20, 1]], 1/360], [[[1, 1], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1/360], [[[1, 1], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 1/216], [[[1, 1], [2, 1], [3, 1], [4, 1], [12, 1], [14, 1]], 1/504], [[[1, 1], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1]], 1/7680], [[[1, 1], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1]], 1/2304], [[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/18432], [[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 19/6912], [[[1, 1], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1/432], [[[1, 1], [2, 1], [3, 1], [6, 1], [8, 1], [18, 1]], 1/432], [[[1, 1], [2, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1/360], [[[1, 1], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/320], [[[1, 1], [2, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/600], [[[1, 1], [2, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/504], [[[1, 1], [2, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/216], [[[1, 1], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 1], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 1/1728], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/2016], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1]], 1/1728], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/2304], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/8640], [[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 37/5184], [[[1, 1], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1]], 1/2880], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1/36864], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/3840], [[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1/2304], [[[1, 1], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2400], [[[1, 1], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 3/1280], [[[1, 1], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 1], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1/73728], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 1/34560], [[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 19/82944], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1440], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 1/7680], [[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 1/480], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1/672], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 1/864], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1]], 1/672], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 1], [18, 1]], 1/864], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 1/13824], [[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 1/864], [[[1, 2], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/1280], [[[1, 2], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 1/4608], [[[1, 2], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1]], 1/1440], [[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 1/11520], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/576], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1]], 1/11520], [[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 5/288], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/960], [[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 2/225], [[[1, 2], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1]], 1/960], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 1/13824], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1440], [[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 1/864], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1280], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/480], [[[1, 2], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440], [[[1, 2], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 2], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 1/11520], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 11/6912], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 17/11520], [[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 5/1728], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 3/1280], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 1/2400], [[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 1/1440], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 1/2016], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 1/1728], [[[1, 3], [2, 1], [3, 1], [4, 1], [6, 1], [18, 1]], 1/1728], [[[1, 3], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1]], 1/2304], [[[1, 3], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/3840], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 1/36864], [[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 1/2304], [[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 1/8640], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/2304], [[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 37/5184], [[[1, 3], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 11/11520], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 173/36864], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 11/11520], [[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 23/4608], [[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 17/11520], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 11/6912], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 1/11520], [[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 5/1728], [[[1, 5], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/34560], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/73728], [[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 19/82944], [[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/576] ]}