{[
[[[1, 24]], 1/2476694568960000],
[[[2, 24]], 1/2476694568960000],
[[[4, 12]], 1/66355200],
[[[8, 6]], 1/11520],
[[[1, 1], [2, 23]], 1/34398535680000],
[[[1, 2], [2, 22]], 7/7644119040000],
[[[1, 3], [2, 21]], 571/34398535680000],
[[[1, 4], [2, 20]], 118789/619173642240000],
[[[1, 4], [4, 10]], 1/796262400],
[[[1, 5], [2, 19]], 6121/4127824281600],
[[[1, 6], [2, 18]], 21577/2751882854400],
[[[1, 6], [3, 9]], 43/75582720],
[[[1, 7], [2, 17]], 590603/20639121408000],
[[[1, 8], [2, 16]], 53081/733835427840],
[[[1, 8], [3, 8]], 2807/1612431360],
[[[1, 8], [5, 4]], 1/5760000],
[[[1, 9], [2, 15]], 29903/229323571200],
[[[1, 10], [2, 14]], 5569/28665446400],
[[[1, 10], [3, 7]], 1301/1007769600],
[[[1, 11], [2, 13]], 336551/1146617856000],
[[[1, 12], [2, 12]], 95003/254803968000],
[[[1, 12], [3, 6]], 2827/16124313600],
[[[1, 12], [5, 3]], 1/207360000],
[[[1, 13], [2, 11]], 336551/1146617856000],
[[[1, 14], [2, 10]], 5569/28665446400],
[[[1, 14], [3, 5]], 767/16124313600],
[[[1, 15], [2, 9]], 29903/229323571200],
[[[1, 16], [2, 8]], 53081/733835427840],
[[[1, 16], [3, 4]], 253/51597803520],
[[[1, 16], [5, 2]], 1/19906560000],
[[[1, 17], [2, 7]], 590603/20639121408000],
[[[1, 18], [2, 6]], 21577/2751882854400],
[[[1, 18], [3, 3]], 17/71663616000],
[[[1, 19], [2, 5]], 6121/4127824281600],
[[[1, 20], [2, 4]], 118789/619173642240000],
[[[1, 20], [3, 2]], 31/5159780352000],
[[[1, 20], [4, 2]], 1/206391214080000],
[[[1, 20], [5, 1]], 1/4299816960000],
[[[1, 21], [2, 3]], 571/34398535680000],
[[[1, 22], [2, 2]], 7/7644119040000],
[[[1, 22], [3, 1]], 1/12899450880000],
[[[1, 23], [2, 1]], 1/34398535680000],
[[[2, 4], [4, 10]], 1/796262400],
[[[2, 6], [6, 9]], 43/75582720],
[[[2, 8], [6, 8]], 2807/1612431360],
[[[2, 8], [10, 4]], 1/5760000],
[[[2, 10], [6, 7]], 1301/1007769600],
[[[2, 12], [6, 6]], 2827/16124313600],
[[[2, 12], [10, 3]], 1/207360000],
[[[2, 14], [6, 5]], 767/16124313600],
[[[2, 16], [6, 4]], 253/51597803520],
[[[2, 16], [10, 2]], 1/19906560000],
[[[2, 18], [6, 3]], 17/71663616000],
[[[2, 20], [4, 2]], 1/206391214080000],
[[[2, 20], [6, 2]], 31/5159780352000],
[[[2, 20], [10, 1]], 1/4299816960000],
[[[2, 22], [6, 1]], 1/12899450880000],
[[[4, 4], [12, 4]], 1/41472],
[[[4, 4], [20, 2]], 1/3200],
[[[4, 6], [12, 3]], 1/20736],
[[[4, 8], [12, 2]], 7/276480],
[[[4, 8], [20, 1]], 1/230400],
[[[4, 10], [12, 1]], 1/829440],
[[[8, 2], [24, 2]], 1/288],
[[[8, 2], [40, 1]], 1/80],
[[[8, 4], [24, 1]], 1/288],
[[[1, 1], [2, 1], [4, 11]], 1/1843200],
[[[1, 1], [2, 3], [4, 10]], 1/66355200],
[[[1, 1], [2, 3], [8, 5]], 1/138240],
[[[1, 1], [2, 5], [4, 9]], 1/26542080],
[[[1, 1], [2, 7], [6, 8]], 703/134369280],
[[[1, 1], [2, 7], [10, 4]], 1/480000],
[[[1, 1], [2, 9], [6, 7]], 533/67184640],
[[[1, 1], [2, 11], [6, 6]], 10567/5374771200],
[[[1, 1], [2, 11], [10, 3]], 1/7680000],
[[[1, 1], [2, 13], [6, 5]], 379/537477120],
[[[1, 1], [2, 15], [6, 4]], 5279/42998169600],
[[[1, 1], [2, 15], [10, 2]], 7/3317760000],
[[[1, 1], [2, 17], [4, 3]], 1/573308928000],
[[[1, 1], [2, 17], [6, 3]], 371/42998169600],
[[[1, 1], [2, 19], [4, 2]], 1/3439853568000],
[[[1, 1], [2, 19], [6, 2]], 497/1719926784000],
[[[1, 1], [2, 19], [10, 1]], 19/1433272320000],
[[[1, 1], [2, 21], [4, 1]], 1/5733089280000],
[[[1, 1], [2, 21], [6, 1]], 1/214990848000],
[[[1, 2], [2, 2], [4, 10]], 331/44236800],
[[[1, 2], [2, 2], [8, 5]], 1/23040],
[[[1, 2], [2, 4], [4, 9]], 1/2211840],
[[[1, 2], [2, 6], [4, 8]], 7/17694720],
[[[1, 2], [2, 6], [6, 8]], 1/53747712],
[[[1, 2], [2, 6], [10, 4]], 1/320000],
[[[1, 2], [2, 8], [6, 7]], 1667/134369280],
[[[1, 2], [2, 10], [6, 6]], 2693/358318080],
[[[1, 2], [2, 10], [10, 3]], 3/2560000],
[[[1, 2], [2, 12], [6, 5]], 2143/537477120],
[[[1, 2], [2, 14], [4, 4]], 1/4246732800],
[[[1, 2], [2, 14], [6, 4]], 97991/85996339200],
[[[1, 2], [2, 14], [10, 2]], 77/2211840000],
[[[1, 2], [2, 16], [4, 3]], 23/286654464000],
[[[1, 2], [2, 16], [6, 3]], 1771/14332723200],
[[[1, 2], [2, 18], [4, 2]], 43/1146617856000],
[[[1, 2], [2, 18], [6, 2]], 617/107495424000],
[[[1, 2], [2, 18], [10, 1]], 19/59719680000],
[[[1, 2], [2, 20], [3, 1]], 1/77396705280000],
[[[1, 2], [2, 20], [4, 1]], 7/687970713600],
[[[1, 2], [2, 20], [6, 1]], 41/343985356800],
[[[1, 2], [3, 1], [4, 10]], 1/24883200],
[[[1, 2], [3, 5], [9, 2]], 1/46656],
[[[1, 2], [4, 1], [8, 5]], 1/46080],
[[[1, 3], [2, 1], [4, 10]], 1/66355200],
[[[1, 3], [2, 1], [8, 5]], 1/138240],
[[[1, 3], [2, 3], [4, 9]], 221/4423680],
[[[1, 3], [2, 5], [4, 8]], 7/1474560],
[[[1, 3], [2, 5], [6, 8]], 1/80621568],
[[[1, 3], [2, 5], [10, 4]], 1/480000],
[[[1, 3], [2, 7], [4, 7]], 23/13271040],
[[[1, 3], [2, 7], [6, 7]], 211/403107840],
[[[1, 3], [2, 9], [6, 6]], 3791/358318080],
[[[1, 3], [2, 9], [10, 3]], 31/7680000],
[[[1, 3], [2, 11], [4, 5]], 1/14155776],
[[[1, 3], [2, 11], [6, 5]], 17039/1612431360],
[[[1, 3], [2, 13], [4, 4]], 1/132710400],
[[[1, 3], [2, 13], [6, 4]], 84187/16124313600],
[[[1, 3], [2, 13], [10, 2]], 119/414720000],
[[[1, 3], [2, 15], [4, 3]], 13/3185049600],
[[[1, 3], [2, 15], [6, 3]], 38941/42998169600],
[[[1, 3], [2, 17], [4, 2]], 4987/3439853568000],
[[[1, 3], [2, 17], [6, 2]], 79141/1289945088000],
[[[1, 3], [2, 17], [10, 1]], 1501/358318080000],
[[[1, 3], [2, 19], [3, 1]], 1/1289945088000],
[[[1, 3], [2, 19], [4, 1]], 577/2293235712000],
[[[1, 3], [2, 19], [6, 1]], 551/322486272000],
[[[1, 4], [2, 2], [4, 9]], 1/2211840],
[[[1, 4], [2, 4], [3, 8]], 1/967458816],
[[[1, 4], [2, 4], [4, 8]], 499/2949120],
[[[1, 4], [2, 4], [5, 4]], 1/5760000],
[[[1, 4], [2, 4], [6, 8]], 1/967458816],
[[[1, 4], [2, 4], [10, 4]], 1/5760000],
[[[1, 4], [2, 6], [4, 7]], 23/1105920],
[[[1, 4], [2, 6], [6, 7]], 37/241864704],
[[[1, 4], [2, 8], [4, 6]], 125/14155776],
[[[1, 4], [2, 8], [6, 6]], 6251/1934917632],
[[[1, 4], [2, 8], [10, 3]], 1171/207360000],
[[[1, 4], [2, 10], [4, 5]], 1/786432],
[[[1, 4], [2, 10], [6, 5]], 15527/1209323520],
[[[1, 4], [2, 12], [4, 4]], 1801/4246732800],
[[[1, 4], [2, 12], [6, 4]], 4922239/386983526400],
[[[1, 4], [2, 12], [10, 2]], 12533/9953280000],
[[[1, 4], [2, 14], [4, 3]], 121/1274019840],
[[[1, 4], [2, 14], [6, 3]], 724463/193491763200],
[[[1, 4], [2, 16], [4, 2]], 7681/305764761600],
[[[1, 4], [2, 16], [6, 2]], 6003781/15479341056000],
[[[1, 4], [2, 16], [10, 1]], 142561/4299816960000],
[[[1, 4], [2, 18], [3, 1]], 17/859963392000],
[[[1, 4], [2, 18], [4, 1]], 247/71663616000],
[[[1, 4], [2, 18], [6, 1]], 29249/1934917632000],
[[[1, 4], [3, 4], [9, 2]], 1/15552],
[[[1, 4], [3, 7], [9, 1]], 1/46656],
[[[1, 4], [3, 8], [4, 2]], 1/80621568],
[[[1, 4], [4, 2], [5, 4]], 1/480000],
[[[1, 4], [4, 2], [12, 4]], 1/497664],
[[[1, 4], [4, 2], [20, 2]], 1/38400],
[[[1, 4], [4, 4], [12, 3]], 1/248832],
[[[1, 4], [4, 6], [12, 2]], 7/3317760],
[[[1, 4], [4, 6], [20, 1]], 1/2764800],
[[[1, 4], [4, 8], [12, 1]], 1/9953280],
[[[1, 5], [2, 1], [4, 9]], 1/26542080],
[[[1, 5], [2, 3], [3, 8]], 1/80621568],
[[[1, 5], [2, 3], [4, 8]], 7/1474560],
[[[1, 5], [2, 3], [5, 4]], 1/480000],
[[[1, 5], [2, 5], [3, 7]], 1/80621568],
[[[1, 5], [2, 5], [4, 7]], 203/737280],
[[[1, 5], [2, 5], [6, 7]], 1/80621568],
[[[1, 5], [2, 7], [3, 6]], 1/644972544],
[[[1, 5], [2, 7], [4, 6]], 71/1179648],
[[[1, 5], [2, 7], [5, 3]], 1/13824000],
[[[1, 5], [2, 7], [6, 6]], 511/644972544],
[[[1, 5], [2, 7], [10, 3]], 11/2764800],
[[[1, 5], [2, 9], [4, 5]], 71/2359296],
[[[1, 5], [2, 9], [6, 5]], 3353/537477120],
[[[1, 5], [2, 11], [4, 4]], 691/106168320],
[[[1, 5], [2, 11], [6, 4]], 209401/12899450880],
[[[1, 5], [2, 11], [10, 2]], 199/66355200],
[[[1, 5], [2, 13], [4, 3]], 1843/1592524800],
[[[1, 5], [2, 13], [6, 3]], 580609/64497254400],
[[[1, 5], [2, 15], [4, 2]], 41/176947200],
[[[1, 5], [2, 15], [6, 2]], 519817/343985356800],
[[[1, 5], [2, 15], [10, 1]], 125/764411904],
[[[1, 5], [2, 17], [3, 1]], 361/1289945088000],
[[[1, 5], [2, 17], [4, 1]], 12373/429981696000],
[[[1, 5], [2, 17], [6, 1]], 27811/322486272000],
[[[1, 6], [2, 2], [3, 8]], 1/53747712],
[[[1, 6], [2, 2], [4, 8]], 7/17694720],
[[[1, 6], [2, 2], [5, 4]], 1/320000],
[[[1, 6], [2, 4], [3, 7]], 37/241864704],
[[[1, 6], [2, 4], [4, 7]], 23/1105920],
[[[1, 6], [2, 6], [3, 6]], 17/214990848],
[[[1, 6], [2, 6], [4, 6]], 509/2359296],
[[[1, 6], [2, 6], [5, 3]], 1/921600],
[[[1, 6], [2, 6], [6, 6]], 17/214990848],
[[[1, 6], [2, 6], [10, 3]], 1/921600],
[[[1, 6], [2, 8], [3, 5]], 1/71663616],
[[[1, 6], [2, 8], [4, 5]], 923/7077888],
[[[1, 6], [2, 8], [6, 5]], 83/35831808],
[[[1, 6], [2, 10], [3, 4]], 1/1146617856],
[[[1, 6], [2, 10], [4, 4]], 40379/849346560],
[[[1, 6], [2, 10], [5, 2]], 1/88473600],
[[[1, 6], [2, 10], [6, 4]], 3337/318504960],
[[[1, 6], [2, 10], [10, 2]], 173/44236800],
[[[1, 6], [2, 12], [4, 3]], 3521/424673280],
[[[1, 6], [2, 12], [6, 3]], 53737/4299816960],
[[[1, 6], [2, 14], [4, 2]], 96809/76441190400],
[[[1, 6], [2, 14], [6, 2]], 52663/14332723200],
[[[1, 6], [2, 14], [10, 1]], 1/1966080],
[[[1, 6], [2, 16], [3, 1]], 277/114661785600],
[[[1, 6], [2, 16], [4, 1]], 524903/3439853568000],
[[[1, 6], [2, 16], [6, 1]], 12359/38220595200],
[[[1, 6], [3, 1], [5, 4]], 1/180000],
[[[1, 6], [3, 3], [5, 3]], 1/162000],
[[[1, 6], [3, 3], [9, 2]], 1/23040],
[[[1, 6], [3, 5], [5, 2]], 1/388800],
[[[1, 6], [3, 5], [6, 4]], 1/373248],
[[[1, 6], [3, 6], [9, 1]], 1/15552],
[[[1, 6], [3, 7], [4, 2]], 1/20155392],
[[[1, 6], [3, 7], [5, 1]], 101/41990400],
[[[1, 6], [3, 7], [6, 2]], 1/1866240],
[[[1, 6], [3, 7], [12, 1]], 1/311040],
[[[1, 7], [2, 1], [3, 8]], 703/134369280],
[[[1, 7], [2, 1], [5, 4]], 1/480000],
[[[1, 7], [2, 3], [3, 7]], 211/403107840],
[[[1, 7], [2, 3], [4, 7]], 23/13271040],
[[[1, 7], [2, 5], [3, 6]], 511/644972544],
[[[1, 7], [2, 5], [4, 6]], 71/1179648],
[[[1, 7], [2, 5], [5, 3]], 11/2764800],
[[[1, 7], [2, 5], [6, 6]], 1/644972544],
[[[1, 7], [2, 5], [10, 3]], 1/13824000],
[[[1, 7], [2, 7], [3, 5]], 35/107495424],
[[[1, 7], [2, 7], [4, 5]], 511/2359296],
[[[1, 7], [2, 7], [6, 5]], 35/107495424],
[[[1, 7], [2, 9], [3, 4]], 11/191102976],
[[[1, 7], [2, 9], [4, 4]], 258541/1592524800],
[[[1, 7], [2, 9], [5, 2]], 1/4915200],
[[[1, 7], [2, 9], [6, 4]], 569/134369280],
[[[1, 7], [2, 9], [10, 2]], 121/41472000],
[[[1, 7], [2, 11], [3, 3]], 139/14332723200],
[[[1, 7], [2, 11], [4, 3]], 4811/127401984],
[[[1, 7], [2, 11], [6, 3]], 128039/12899450880],
[[[1, 7], [2, 13], [3, 2]], 89/114661785600],
[[[1, 7], [2, 13], [4, 2]], 2033/424673280],
[[[1, 7], [2, 13], [5, 1]], 89/31850496000],
[[[1, 7], [2, 13], [6, 2]], 14917/2687385600],
[[[1, 7], [2, 13], [8, 1]], 1/398131200],
[[[1, 7], [2, 13], [10, 1]], 1489/1492992000],
[[[1, 7], [2, 15], [3, 1]], 7/530841600],
[[[1, 7], [2, 15], [4, 1]], 10103/19110297600],
[[[1, 7], [2, 15], [6, 1]], 8603/10749542400],
[[[1, 8], [2, 2], [3, 7]], 1667/134369280],
[[[1, 8], [2, 4], [3, 6]], 6251/1934917632],
[[[1, 8], [2, 4], [4, 6]], 125/14155776],
[[[1, 8], [2, 4], [5, 3]], 1171/207360000],
[[[1, 8], [2, 6], [3, 5]], 83/35831808],
[[[1, 8], [2, 6], [4, 5]], 923/7077888],
[[[1, 8], [2, 6], [6, 5]], 1/71663616],
[[[1, 8], [2, 8], [3, 4]], 949/1146617856],
[[[1, 8], [2, 8], [4, 4]], 1533053/6370099200],
[[[1, 8], [2, 8], [5, 2]], 101/88473600],
[[[1, 8], [2, 8], [6, 4]], 949/1146617856],
[[[1, 8], [2, 8], [10, 2]], 101/88473600],
[[[1, 8], [2, 10], [3, 3]], 587/2866544640],
[[[1, 8], [2, 10], [4, 3]], 398087/3822059520],
[[[1, 8], [2, 10], [6, 3]], 13909/2866544640],
[[[1, 8], [2, 12], [3, 2]], 287/7644119040],
[[[1, 8], [2, 12], [4, 2]], 124037/8493465600],
[[[1, 8], [2, 12], [5, 1]], 623/10616832000],
[[[1, 8], [2, 12], [6, 2]], 24137/4586471424],
[[[1, 8], [2, 12], [8, 1]], 1/22118400],
[[[1, 8], [2, 12], [10, 1]], 8033/6370099200],
[[[1, 8], [2, 14], [3, 1]], 5711/114661785600],
[[[1, 8], [2, 14], [4, 1]], 19741/15288238080],
[[[1, 8], [2, 14], [6, 1]], 150533/114661785600],
[[[1, 8], [3, 2], [5, 3]], 11/1728000],
[[[1, 8], [3, 2], [9, 2]], 1/933120],
[[[1, 8], [3, 4], [5, 2]], 13/2488320],
[[[1, 8], [3, 4], [6, 4]], 1/11943936],
[[[1, 8], [3, 5], [9, 1]], 1/23040],
[[[1, 8], [3, 6], [4, 2]], 61/806215680],
[[[1, 8], [3, 6], [5, 1]], 1781/335923200],
[[[1, 8], [3, 6], [6, 2]], 1/1866240],
[[[1, 8], [3, 6], [12, 1]], 1/311040],
[[[1, 8], [4, 2], [5, 3]], 1/17280000],
[[[1, 9], [2, 1], [3, 7]], 533/67184640],
[[[1, 9], [2, 3], [3, 6]], 3791/358318080],
[[[1, 9], [2, 3], [5, 3]], 31/7680000],
[[[1, 9], [2, 5], [3, 5]], 3353/537477120],
[[[1, 9], [2, 5], [4, 5]], 71/2359296],
[[[1, 9], [2, 7], [3, 4]], 569/134369280],
[[[1, 9], [2, 7], [4, 4]], 258541/1592524800],
[[[1, 9], [2, 7], [5, 2]], 121/41472000],
[[[1, 9], [2, 7], [6, 4]], 11/191102976],
[[[1, 9], [2, 7], [10, 2]], 1/4915200],
[[[1, 9], [2, 9], [3, 3]], 4121/2866544640],
[[[1, 9], [2, 9], [4, 3]], 104363/707788800],
[[[1, 9], [2, 9], [6, 3]], 4121/2866544640],
[[[1, 9], [2, 11], [3, 2]], 1471/3185049600],
[[[1, 9], [2, 11], [4, 2]], 161729/4777574400],
[[[1, 9], [2, 11], [5, 1]], 3151/7962624000],
[[[1, 9], [2, 11], [6, 2]], 26827/7644119040],
[[[1, 9], [2, 11], [8, 1]], 91/398131200],
[[[1, 9], [2, 11], [10, 1]], 7841/6370099200],
[[[1, 9], [2, 13], [3, 1]], 2569/14332723200],
[[[1, 9], [2, 13], [4, 1]], 206069/76441190400],
[[[1, 9], [2, 13], [6, 1]], 14573/9555148800],
[[[1, 10], [2, 2], [3, 6]], 2693/358318080],
[[[1, 10], [2, 2], [5, 3]], 3/2560000],
[[[1, 10], [2, 4], [3, 5]], 15527/1209323520],
[[[1, 10], [2, 4], [4, 5]], 1/786432],
[[[1, 10], [2, 6], [3, 4]], 3337/318504960],
[[[1, 10], [2, 6], [4, 4]], 40379/849346560],
[[[1, 10], [2, 6], [5, 2]], 173/44236800],
[[[1, 10], [2, 6], [6, 4]], 1/1146617856],
[[[1, 10], [2, 6], [10, 2]], 1/88473600],
[[[1, 10], [2, 8], [3, 3]], 13909/2866544640],
[[[1, 10], [2, 8], [4, 3]], 398087/3822059520],
[[[1, 10], [2, 8], [6, 3]], 587/2866544640],
[[[1, 10], [2, 10], [3, 2]], 1789/955514880],
[[[1, 10], [2, 10], [4, 2]], 296827/6370099200],
[[[1, 10], [2, 10], [5, 1]], 421/398131200],
[[[1, 10], [2, 10], [6, 2]], 1789/955514880],
[[[1, 10], [2, 10], [8, 1]], 619/1492992000],
[[[1, 10], [2, 10], [10, 1]], 421/398131200],
[[[1, 10], [2, 12], [3, 1]], 24011/38220595200],
[[[1, 10], [2, 12], [4, 1]], 664267/127401984000],
[[[1, 10], [2, 12], [6, 1]], 177467/114661785600],
[[[1, 10], [3, 1], [5, 3]], 1/2880000],
[[[1, 10], [3, 3], [5, 2]], 89/31104000],
[[[1, 10], [3, 4], [9, 1]], 1/933120],
[[[1, 10], [3, 5], [4, 2]], 43/806215680],
[[[1, 10], [3, 5], [5, 1]], 169/111974400],
[[[1, 10], [3, 5], [6, 2]], 1/74649600],
[[[1, 10], [3, 5], [12, 1]], 1/12441600],
[[[1, 11], [2, 1], [3, 6]], 10567/5374771200],
[[[1, 11], [2, 1], [5, 3]], 1/7680000],
[[[1, 11], [2, 3], [3, 5]], 17039/1612431360],
[[[1, 11], [2, 3], [4, 5]], 1/14155776],
[[[1, 11], [2, 5], [3, 4]], 209401/12899450880],
[[[1, 11], [2, 5], [4, 4]], 691/106168320],
[[[1, 11], [2, 5], [5, 2]], 199/66355200],
[[[1, 11], [2, 7], [3, 3]], 128039/12899450880],
[[[1, 11], [2, 7], [4, 3]], 4811/127401984],
[[[1, 11], [2, 7], [6, 3]], 139/14332723200],
[[[1, 11], [2, 9], [3, 2]], 26827/7644119040],
[[[1, 11], [2, 9], [4, 2]], 161729/4777574400],
[[[1, 11], [2, 9], [5, 1]], 7841/6370099200],
[[[1, 11], [2, 9], [6, 2]], 1471/3185049600],
[[[1, 11], [2, 9], [8, 1]], 91/398131200],
[[[1, 11], [2, 9], [10, 1]], 3151/7962624000],
[[[1, 11], [2, 11], [3, 1]], 196321/143327232000],
[[[1, 11], [2, 11], [4, 1]], 2688317/382205952000],
[[[1, 11], [2, 11], [6, 1]], 196321/143327232000],
[[[1, 12], [2, 2], [3, 5]], 2143/537477120],
[[[1, 12], [2, 4], [3, 4]], 4922239/386983526400],
[[[1, 12], [2, 4], [4, 4]], 1801/4246732800],
[[[1, 12], [2, 4], [5, 2]], 12533/9953280000],
[[[1, 12], [2, 6], [3, 3]], 53737/4299816960],
[[[1, 12], [2, 6], [4, 3]], 3521/424673280],
[[[1, 12], [2, 8], [3, 2]], 24137/4586471424],
[[[1, 12], [2, 8], [4, 2]], 124037/8493465600],
[[[1, 12], [2, 8], [5, 1]], 8033/6370099200],
[[[1, 12], [2, 8], [6, 2]], 287/7644119040],
[[[1, 12], [2, 8], [8, 1]], 1/22118400],
[[[1, 12], [2, 8], [10, 1]], 623/10616832000],
[[[1, 12], [2, 10], [3, 1]], 177467/114661785600],
[[[1, 12], [2, 10], [4, 1]], 664267/127401984000],
[[[1, 12], [2, 10], [6, 1]], 24011/38220595200],
[[[1, 12], [3, 2], [5, 2]], 53/248832000],
[[[1, 12], [3, 4], [4, 2]], 1043/64497254400],
[[[1, 12], [3, 4], [5, 1]], 319/537477120],
[[[1, 12], [4, 2], [5, 2]], 1/1658880000],
[[[1, 13], [2, 1], [3, 5]], 379/537477120],
[[[1, 13], [2, 3], [3, 4]], 84187/16124313600],
[[[1, 13], [2, 3], [4, 4]], 1/132710400],
[[[1, 13], [2, 3], [5, 2]], 119/414720000],
[[[1, 13], [2, 5], [3, 3]], 580609/64497254400],
[[[1, 13], [2, 5], [4, 3]], 1843/1592524800],
[[[1, 13], [2, 7], [3, 2]], 14917/2687385600],
[[[1, 13], [2, 7], [4, 2]], 2033/424673280],
[[[1, 13], [2, 7], [5, 1]], 1489/1492992000],
[[[1, 13], [2, 7], [6, 2]], 89/114661785600],
[[[1, 13], [2, 7], [8, 1]], 1/398131200],
[[[1, 13], [2, 7], [10, 1]], 89/31850496000],
[[[1, 13], [2, 9], [3, 1]], 14573/9555148800],
[[[1, 13], [2, 9], [4, 1]], 206069/76441190400],
[[[1, 13], [2, 9], [6, 1]], 2569/14332723200],
[[[1, 14], [2, 2], [3, 4]], 97991/85996339200],
[[[1, 14], [2, 2], [4, 4]], 1/4246732800],
[[[1, 14], [2, 2], [5, 2]], 77/2211840000],
[[[1, 14], [2, 4], [3, 3]], 724463/193491763200],
[[[1, 14], [2, 4], [4, 3]], 121/1274019840],
[[[1, 14], [2, 6], [3, 2]], 52663/14332723200],
[[[1, 14], [2, 6], [4, 2]], 96809/76441190400],
[[[1, 14], [2, 6], [5, 1]], 1/1966080],
[[[1, 14], [2, 8], [3, 1]], 150533/114661785600],
[[[1, 14], [2, 8], [4, 1]], 19741/15288238080],
[[[1, 14], [2, 8], [6, 1]], 5711/114661785600],
[[[1, 14], [3, 1], [5, 2]], 7/1244160000],
[[[1, 14], [3, 3], [4, 2]], 43/32248627200],
[[[1, 14], [3, 3], [5, 1]], 361/6718464000],
[[[1, 15], [2, 1], [3, 4]], 5279/42998169600],
[[[1, 15], [2, 1], [5, 2]], 7/3317760000],
[[[1, 15], [2, 3], [3, 3]], 38941/42998169600],
[[[1, 15], [2, 3], [4, 3]], 13/3185049600],
[[[1, 15], [2, 5], [3, 2]], 519817/343985356800],
[[[1, 15], [2, 5], [4, 2]], 41/176947200],
[[[1, 15], [2, 5], [5, 1]], 125/764411904],
[[[1, 15], [2, 7], [3, 1]], 8603/10749542400],
[[[1, 15], [2, 7], [4, 1]], 10103/19110297600],
[[[1, 15], [2, 7], [6, 1]], 7/530841600],
[[[1, 16], [2, 2], [3, 3]], 1771/14332723200],
[[[1, 16], [2, 2], [4, 3]], 23/286654464000],
[[[1, 16], [2, 4], [3, 2]], 6003781/15479341056000],
[[[1, 16], [2, 4], [4, 2]], 7681/305764761600],
[[[1, 16], [2, 4], [5, 1]], 142561/4299816960000],
[[[1, 16], [2, 6], [3, 1]], 12359/38220595200],
[[[1, 16], [2, 6], [4, 1]], 524903/3439853568000],
[[[1, 16], [2, 6], [6, 1]], 277/114661785600],
[[[1, 16], [3, 2], [4, 2]], 61/1289945088000],
[[[1, 16], [3, 2], [5, 1]], 73/35831808000],
[[[1, 16], [4, 2], [5, 1]], 1/358318080000],
[[[1, 17], [2, 1], [3, 3]], 371/42998169600],
[[[1, 17], [2, 1], [4, 3]], 1/573308928000],
[[[1, 17], [2, 3], [3, 2]], 79141/1289945088000],
[[[1, 17], [2, 3], [4, 2]], 4987/3439853568000],
[[[1, 17], [2, 3], [5, 1]], 1501/358318080000],
[[[1, 17], [2, 5], [3, 1]], 27811/322486272000],
[[[1, 17], [2, 5], [4, 1]], 12373/429981696000],
[[[1, 17], [2, 5], [6, 1]], 361/1289945088000],
[[[1, 18], [2, 2], [3, 2]], 617/107495424000],
[[[1, 18], [2, 2], [4, 2]], 43/1146617856000],
[[[1, 18], [2, 2], [5, 1]], 19/59719680000],
[[[1, 18], [2, 4], [3, 1]], 29249/1934917632000],
[[[1, 18], [2, 4], [4, 1]], 247/71663616000],
[[[1, 18], [2, 4], [6, 1]], 17/859963392000],
[[[1, 18], [3, 1], [4, 2]], 1/1289945088000],
[[[1, 18], [3, 1], [5, 1]], 19/537477120000],
[[[1, 19], [2, 1], [3, 2]], 497/1719926784000],
[[[1, 19], [2, 1], [4, 2]], 1/3439853568000],
[[[1, 19], [2, 1], [5, 1]], 19/1433272320000],
[[[1, 19], [2, 3], [3, 1]], 551/322486272000],
[[[1, 19], [2, 3], [4, 1]], 577/2293235712000],
[[[1, 19], [2, 3], [6, 1]], 1/1289945088000],
[[[1, 20], [2, 2], [3, 1]], 41/343985356800],
[[[1, 20], [2, 2], [4, 1]], 7/687970713600],
[[[1, 20], [2, 2], [6, 1]], 1/77396705280000],
[[[1, 21], [2, 1], [3, 1]], 1/214990848000],
[[[1, 21], [2, 1], [4, 1]], 1/5733089280000],
[[[2, 2], [4, 1], [8, 5]], 1/46080],
[[[2, 2], [4, 10], [6, 1]], 1/24883200],
[[[2, 2], [6, 5], [18, 2]], 1/46656],
[[[2, 4], [4, 2], [6, 8]], 1/80621568],
[[[2, 4], [4, 2], [10, 4]], 1/480000],
[[[2, 4], [4, 2], [12, 4]], 1/497664],
[[[2, 4], [4, 2], [20, 2]], 1/38400],
[[[2, 4], [4, 4], [12, 3]], 1/248832],
[[[2, 4], [4, 6], [12, 2]], 7/3317760],
[[[2, 4], [4, 6], [20, 1]], 1/2764800],
[[[2, 4], [4, 8], [12, 1]], 1/9953280],
[[[2, 4], [6, 4], [18, 2]], 1/15552],
[[[2, 4], [6, 7], [18, 1]], 1/46656],
[[[2, 6], [3, 2], [6, 7]], 1/1866240],
[[[2, 6], [3, 4], [6, 5]], 1/373248],
[[[2, 6], [4, 2], [6, 7]], 1/20155392],
[[[2, 6], [6, 1], [10, 4]], 1/180000],
[[[2, 6], [6, 3], [10, 3]], 1/162000],
[[[2, 6], [6, 3], [18, 2]], 1/23040],
[[[2, 6], [6, 5], [10, 2]], 1/388800],
[[[2, 6], [6, 6], [18, 1]], 1/15552],
[[[2, 6], [6, 7], [10, 1]], 101/41990400],
[[[2, 6], [6, 7], [12, 1]], 1/311040],
[[[2, 8], [3, 2], [6, 6]], 1/1866240],
[[[2, 8], [3, 4], [6, 4]], 1/11943936],
[[[2, 8], [4, 2], [6, 6]], 61/806215680],
[[[2, 8], [4, 2], [10, 3]], 1/17280000],
[[[2, 8], [6, 2], [10, 3]], 11/1728000],
[[[2, 8], [6, 2], [18, 2]], 1/933120],
[[[2, 8], [6, 4], [10, 2]], 13/2488320],
[[[2, 8], [6, 5], [18, 1]], 1/23040],
[[[2, 8], [6, 6], [10, 1]], 1781/335923200],
[[[2, 8], [6, 6], [12, 1]], 1/311040],
[[[2, 10], [3, 2], [6, 5]], 1/74649600],
[[[2, 10], [4, 2], [6, 5]], 43/806215680],
[[[2, 10], [6, 1], [10, 3]], 1/2880000],
[[[2, 10], [6, 3], [10, 2]], 89/31104000],
[[[2, 10], [6, 4], [18, 1]], 1/933120],
[[[2, 10], [6, 5], [10, 1]], 169/111974400],
[[[2, 10], [6, 5], [12, 1]], 1/12441600],
[[[2, 12], [4, 2], [6, 4]], 1043/64497254400],
[[[2, 12], [4, 2], [10, 2]], 1/1658880000],
[[[2, 12], [6, 2], [10, 2]], 53/248832000],
[[[2, 12], [6, 4], [10, 1]], 319/537477120],
[[[2, 14], [4, 2], [6, 3]], 43/32248627200],
[[[2, 14], [6, 1], [10, 2]], 7/1244160000],
[[[2, 14], [6, 3], [10, 1]], 361/6718464000],
[[[2, 16], [4, 2], [6, 2]], 61/1289945088000],
[[[2, 16], [4, 2], [10, 1]], 1/358318080000],
[[[2, 16], [6, 2], [10, 1]], 73/35831808000],
[[[2, 18], [4, 2], [6, 1]], 1/1289945088000],
[[[2, 18], [6, 1], [10, 1]], 19/537477120000],
[[[4, 4], [12, 2], [20, 1]], 1/5760],
[[[4, 6], [12, 1], [20, 1]], 1/5760],
[[[1, 1], [2, 1], [3, 1], [8, 5]], 1/17280],
[[[1, 1], [2, 1], [4, 1], [8, 5]], 31/23040],
[[[1, 1], [2, 1], [4, 3], [12, 4]], 1/6912],
[[[1, 1], [2, 1], [4, 3], [20, 2]], 3/1600],
[[[1, 1], [2, 1], [4, 5], [12, 3]], 1/2304],
[[[1, 1], [2, 1], [4, 7], [12, 2]], 29/92160],
[[[1, 1], [2, 1], [4, 7], [20, 1]], 7/76800],
[[[1, 1], [2, 1], [4, 9], [8, 1]], 1/368640],
[[[1, 1], [2, 1], [4, 9], [12, 1]], 1/34560],
[[[1, 1], [2, 1], [6, 1], [8, 5]], 1/17280],
[[[1, 1], [2, 3], [4, 2], [8, 4]], 1/3072],
[[[1, 1], [2, 3], [4, 2], [12, 4]], 1/41472],
[[[1, 1], [2, 3], [4, 2], [20, 2]], 1/3200],
[[[1, 1], [2, 3], [4, 4], [12, 3]], 1/20736],
[[[1, 1], [2, 3], [4, 6], [12, 2]], 7/276480],
[[[1, 1], [2, 3], [4, 6], [20, 1]], 1/230400],
[[[1, 1], [2, 3], [4, 8], [12, 1]], 1/829440],
[[[1, 1], [2, 3], [4, 9], [6, 1]], 1/829440],
[[[1, 1], [2, 3], [6, 4], [18, 2]], 1/5184],
[[[1, 1], [2, 3], [8, 1], [24, 2]], 1/3456],
[[[1, 1], [2, 3], [8, 1], [40, 1]], 1/960],
[[[1, 1], [2, 3], [8, 3], [24, 1]], 1/3456],
[[[1, 1], [2, 5], [3, 1], [6, 8]], 253/25194240],
[[[1, 1], [2, 5], [3, 3], [6, 6]], 1/103680],
[[[1, 1], [2, 5], [3, 5], [6, 4]], 1/279936],
[[[1, 1], [2, 5], [4, 1], [6, 8]], 1/13436928],
[[[1, 1], [2, 5], [4, 1], [10, 4]], 1/80000],
[[[1, 1], [2, 5], [4, 2], [6, 7]], 1/6718464],
[[[1, 1], [2, 5], [4, 3], [6, 6]], 1/8957952],
[[[1, 1], [2, 5], [4, 3], [10, 3]], 1/192000],
[[[1, 1], [2, 5], [4, 3], [12, 3]], 1/82944],
[[[1, 1], [2, 5], [4, 5], [12, 2]], 1/73728],
[[[1, 1], [2, 5], [4, 5], [20, 1]], 1/184320],
[[[1, 1], [2, 5], [4, 7], [8, 1]], 1/4423680],
[[[1, 1], [2, 5], [4, 7], [12, 1]], 1/552960],
[[[1, 1], [2, 5], [6, 3], [18, 2]], 11/41472],
[[[1, 1], [2, 5], [6, 6], [18, 1]], 1/5184],
[[[1, 1], [2, 7], [3, 1], [6, 7]], 12797/403107840],
[[[1, 1], [2, 7], [3, 2], [6, 6]], 1/622080],
[[[1, 1], [2, 7], [3, 3], [6, 5]], 1/124416],
[[[1, 1], [2, 7], [3, 4], [6, 4]], 1/995328],
[[[1, 1], [2, 7], [3, 5], [6, 3]], 1/8957952],
[[[1, 1], [2, 7], [4, 1], [6, 7]], 121/67184640],
[[[1, 1], [2, 7], [4, 2], [6, 6]], 25/53747712],
[[[1, 1], [2, 7], [4, 2], [10, 3]], 1/1152000],
[[[1, 1], [2, 7], [4, 3], [6, 5]], 1/2985984],
[[[1, 1], [2, 7], [6, 2], [10, 3]], 1/48000],
[[[1, 1], [2, 7], [6, 2], [18, 2]], 1/51840],
[[[1, 1], [2, 7], [6, 4], [10, 2]], 17/1036800],
[[[1, 1], [2, 7], [6, 5], [18, 1]], 11/41472],
[[[1, 1], [2, 7], [6, 6], [10, 1]], 449/27993600],
[[[1, 1], [2, 7], [6, 6], [12, 1]], 1/103680],
[[[1, 1], [2, 9], [3, 1], [6, 6]], 697/33592320],
[[[1, 1], [2, 9], [3, 2], [6, 5]], 1/4976640],
[[[1, 1], [2, 9], [3, 3], [6, 4]], 1/4976640],
[[[1, 1], [2, 9], [4, 1], [6, 6]], 5/1327104],
[[[1, 1], [2, 9], [4, 1], [10, 3]], 1/1280000],
[[[1, 1], [2, 9], [4, 2], [6, 5]], 23/44789760],
[[[1, 1], [2, 9], [4, 3], [6, 4]], 41/119439360],
[[[1, 1], [2, 9], [4, 3], [10, 2]], 1/9216000],
[[[1, 1], [2, 9], [6, 1], [10, 3]], 1/192000],
[[[1, 1], [2, 9], [6, 3], [10, 2]], 41/2073600],
[[[1, 1], [2, 9], [6, 4], [18, 1]], 1/51840],
[[[1, 1], [2, 9], [6, 5], [10, 1]], 73/7464960],
[[[1, 1], [2, 9], [6, 5], [12, 1]], 1/829440],
[[[1, 1], [2, 11], [3, 1], [6, 5]], 15751/16124313600],
[[[1, 1], [2, 11], [4, 1], [6, 5]], 679/537477120],
[[[1, 1], [2, 11], [4, 2], [6, 4]], 491/2149908480],
[[[1, 1], [2, 11], [4, 2], [10, 2]], 1/55296000],
[[[1, 1], [2, 11], [4, 3], [6, 3]], 23/179159040],
[[[1, 1], [2, 11], [6, 2], [10, 2]], 107/27648000],
[[[1, 1], [2, 11], [6, 4], [10, 1]], 1913/298598400],
[[[1, 1], [2, 13], [3, 1], [6, 4]], 361/8062156800],
[[[1, 1], [2, 13], [4, 1], [6, 4]], 10061/21499084800],
[[[1, 1], [2, 13], [4, 1], [10, 2]], 7/552960000],
[[[1, 1], [2, 13], [4, 2], [6, 3]], 353/10749542400],
[[[1, 1], [2, 13], [4, 3], [6, 2]], 41/4777574400],
[[[1, 1], [2, 13], [4, 3], [10, 1]], 1/1327104000],
[[[1, 1], [2, 13], [6, 1], [10, 2]], 7/41472000],
[[[1, 1], [2, 13], [6, 3], [10, 1]], 259/223948800],
[[[1, 1], [2, 15], [3, 1], [6, 3]], 73/42998169600],
[[[1, 1], [2, 15], [4, 1], [6, 3]], 149/3583180800],
[[[1, 1], [2, 15], [4, 2], [6, 2]], 49/28665446400],
[[[1, 1], [2, 15], [4, 2], [10, 1]], 1/7962624000],
[[[1, 1], [2, 15], [4, 3], [6, 1]], 1/4777574400],
[[[1, 1], [2, 15], [6, 2], [10, 1]], 403/5971968000],
[[[1, 1], [2, 17], [3, 1], [6, 2]], 19/644972544000],
[[[1, 1], [2, 17], [4, 1], [6, 2]], 1339/859963392000],
[[[1, 1], [2, 17], [4, 1], [10, 1]], 19/238878720000],
[[[1, 1], [2, 17], [4, 2], [6, 1]], 1/26873856000],
[[[1, 1], [2, 17], [6, 1], [10, 1]], 19/11943936000],
[[[1, 1], [2, 19], [3, 1], [6, 1]], 1/5159780352000],
[[[1, 1], [2, 19], [4, 1], [6, 1]], 23/859963392000],
[[[1, 2], [2, 2], [4, 2], [8, 4]], 7/1536],
[[[1, 2], [2, 2], [4, 2], [12, 4]], 1/27648],
[[[1, 2], [2, 2], [4, 2], [20, 2]], 3/6400],
[[[1, 2], [2, 2], [4, 4], [12, 3]], 13/13824],
[[[1, 2], [2, 2], [4, 6], [8, 2]], 1/8192],
[[[1, 2], [2, 2], [4, 6], [12, 2]], 79/61440],
[[[1, 2], [2, 2], [4, 6], [20, 1]], 91/153600],
[[[1, 2], [2, 2], [4, 8], [8, 1]], 11/184320],
[[[1, 2], [2, 2], [4, 8], [12, 1]], 133/552960],
[[[1, 2], [2, 2], [8, 1], [24, 2]], 1/576],
[[[1, 2], [2, 2], [8, 1], [40, 1]], 1/160],
[[[1, 2], [2, 2], [8, 3], [24, 1]], 1/576],
[[[1, 2], [2, 4], [3, 1], [6, 8]], 1/30233088],
[[[1, 2], [2, 4], [3, 1], [10, 4]], 1/180000],
[[[1, 2], [2, 4], [3, 2], [6, 7]], 7/139968],
[[[1, 2], [2, 4], [3, 3], [6, 6]], 17/373248],
[[[1, 2], [2, 4], [3, 4], [6, 5]], 13/186624],
[[[1, 2], [2, 4], [3, 5], [6, 4]], 5/186624],
[[[1, 2], [2, 4], [3, 6], [6, 3]], 1/559872],
[[[1, 2], [2, 4], [4, 1], [8, 4]], 1/9216],
[[[1, 2], [2, 4], [4, 3], [6, 6]], 1/8957952],
[[[1, 2], [2, 4], [4, 3], [8, 3]], 1/1024],
[[[1, 2], [2, 4], [4, 3], [10, 3]], 1/192000],
[[[1, 2], [2, 4], [4, 3], [12, 3]], 1/6912],
[[[1, 2], [2, 4], [4, 5], [12, 2]], 1/6144],
[[[1, 2], [2, 4], [4, 5], [20, 1]], 1/15360],
[[[1, 2], [2, 4], [4, 7], [8, 1]], 1/368640],
[[[1, 2], [2, 4], [4, 7], [12, 1]], 1/46080],
[[[1, 2], [2, 4], [4, 8], [6, 1]], 7/552960],
[[[1, 2], [2, 4], [6, 3], [18, 2]], 17/41472],
[[[1, 2], [2, 6], [3, 1], [6, 7]], 5255/60466176],
[[[1, 2], [2, 6], [3, 2], [6, 6]], 16309/89579520],
[[[1, 2], [2, 6], [3, 3], [6, 5]], 1/10368],
[[[1, 2], [2, 6], [3, 4], [6, 4]], 115/1990656],
[[[1, 2], [2, 6], [3, 5], [6, 3]], 1/746496],
[[[1, 2], [2, 6], [3, 6], [6, 2]], 1/17915904],
[[[1, 2], [2, 6], [4, 1], [6, 7]], 161/67184640],
[[[1, 2], [2, 6], [4, 2], [6, 6]], 25/17915904],
[[[1, 2], [2, 6], [4, 2], [10, 3]], 13/384000],
[[[1, 2], [2, 6], [4, 3], [6, 5]], 1/746496],
[[[1, 2], [2, 6], [4, 4], [6, 4]], 1/2654208],
[[[1, 2], [2, 6], [4, 4], [8, 2]], 1/98304],
[[[1, 2], [2, 6], [4, 4], [10, 2]], 1/204800],
[[[1, 2], [2, 6], [4, 4], [12, 2]], 5/221184],
[[[1, 2], [2, 6], [4, 4], [20, 1]], 1/61440],
[[[1, 2], [2, 6], [4, 6], [8, 1]], 1/276480],
[[[1, 2], [2, 6], [4, 6], [12, 1]], 1/110592],
[[[1, 2], [2, 6], [6, 2], [10, 3]], 1/288000],
[[[1, 2], [2, 6], [6, 2], [18, 2]], 1/10368],
[[[1, 2], [2, 6], [6, 4], [10, 2]], 1/691200],
[[[1, 2], [2, 6], [6, 5], [18, 1]], 17/41472],
[[[1, 2], [2, 6], [6, 6], [10, 1]], 1/3732480],
[[[1, 2], [2, 8], [3, 1], [6, 6]], 8959/75582720],
[[[1, 2], [2, 8], [3, 1], [10, 3]], 1/6480000],
[[[1, 2], [2, 8], [3, 2], [6, 5]], 4463/44789760],
[[[1, 2], [2, 8], [3, 3], [6, 4]], 113/14929920],
[[[1, 2], [2, 8], [3, 4], [6, 3]], 11/7464960],
[[[1, 2], [2, 8], [4, 1], [6, 6]], 8669/537477120],
[[[1, 2], [2, 8], [4, 1], [10, 3]], 1/92160],
[[[1, 2], [2, 8], [4, 2], [6, 5]], 7/1492992],
[[[1, 2], [2, 8], [4, 3], [6, 4]], 37/14929920],
[[[1, 2], [2, 8], [4, 3], [8, 2]], 1/737280],
[[[1, 2], [2, 8], [4, 3], [10, 2]], 1/576000],
[[[1, 2], [2, 8], [4, 4], [6, 3]], 1/1327104],
[[[1, 2], [2, 8], [6, 1], [10, 3]], 1/57600],
[[[1, 2], [2, 8], [6, 3], [10, 2]], 13/345600],
[[[1, 2], [2, 8], [6, 4], [18, 1]], 1/10368],
[[[1, 2], [2, 8], [6, 5], [10, 1]], 7/414720],
[[[1, 2], [2, 8], [6, 5], [12, 1]], 1/276480],
[[[1, 2], [2, 10], [3, 1], [6, 5]], 674671/48372940800],
[[[1, 2], [2, 10], [3, 2], [6, 4]], 917/358318080],
[[[1, 2], [2, 10], [3, 3], [6, 3]], 13/119439360],
[[[1, 2], [2, 10], [4, 1], [6, 5]], 227/22394880],
[[[1, 2], [2, 10], [4, 2], [6, 4]], 1271/238878720],
[[[1, 2], [2, 10], [4, 2], [10, 2]], 23/18432000],
[[[1, 2], [2, 10], [4, 3], [6, 3]], 257/179159040],
[[[1, 2], [2, 10], [4, 4], [6, 2]], 7/17694720],
[[[1, 2], [2, 10], [4, 4], [8, 1]], 1/2949120],
[[[1, 2], [2, 10], [4, 4], [10, 1]], 1/14745600],
[[[1, 2], [2, 10], [6, 2], [10, 2]], 21/1024000],
[[[1, 2], [2, 10], [6, 4], [10, 1]], 2387/99532800],
[[[1, 2], [2, 12], [3, 1], [6, 4]], 24353/24186470400],
[[[1, 2], [2, 12], [3, 1], [10, 2]], 1/622080000],
[[[1, 2], [2, 12], [3, 2], [6, 3]], 7/1791590400],
[[[1, 2], [2, 12], [4, 1], [6, 4]], 193/33592320],
[[[1, 2], [2, 12], [4, 1], [10, 2]], 1/2764800],
[[[1, 2], [2, 12], [4, 2], [6, 3]], 391/179159040],
[[[1, 2], [2, 12], [4, 3], [6, 2]], 911/4777574400],
[[[1, 2], [2, 12], [4, 3], [10, 1]], 31/1327104000],
[[[1, 2], [2, 12], [4, 4], [6, 1]], 1/53084160],
[[[1, 2], [2, 12], [6, 1], [10, 2]], 1/552960],
[[[1, 2], [2, 12], [6, 3], [10, 1]], 629/74649600],
[[[1, 2], [2, 14], [3, 1], [6, 3]], 11569/193491763200],
[[[1, 2], [2, 14], [3, 2], [6, 2]], 1/28665446400],
[[[1, 2], [2, 14], [4, 1], [6, 3]], 10249/10749542400],
[[[1, 2], [2, 14], [4, 2], [6, 2]], 1517/9555148800],
[[[1, 2], [2, 14], [4, 2], [10, 1]], 11/884736000],
[[[1, 2], [2, 14], [4, 3], [6, 1]], 17/2388787200],
[[[1, 2], [2, 14], [6, 2], [10, 1]], 373/442368000],
[[[1, 2], [2, 16], [3, 1], [6, 2]], 2809/1934917632000],
[[[1, 2], [2, 16], [3, 1], [10, 1]], 1/134369280000],
[[[1, 2], [2, 16], [4, 1], [6, 2]], 3079/57330892800],
[[[1, 2], [2, 16], [4, 1], [10, 1]], 11/3185049600],
[[[1, 2], [2, 16], [4, 2], [6, 1]], 1/238878720],
[[[1, 2], [2, 16], [6, 1], [10, 1]], 23/796262400],
[[[1, 2], [2, 18], [3, 1], [6, 1]], 203/15479341056000],
[[[1, 2], [2, 18], [4, 1], [6, 1]], 533/429981696000],
[[[1, 2], [3, 1], [4, 2], [12, 4]], 1/15552],
[[[1, 2], [3, 1], [4, 2], [20, 2]], 1/1200],
[[[1, 2], [3, 1], [4, 4], [12, 3]], 1/7776],
[[[1, 2], [3, 1], [4, 6], [12, 2]], 7/103680],
[[[1, 2], [3, 1], [4, 6], [20, 1]], 1/86400],
[[[1, 2], [3, 1], [4, 8], [12, 1]], 1/311040],
[[[1, 2], [3, 3], [5, 1], [9, 2]], 1/12960],
[[[1, 2], [3, 3], [5, 2], [15, 1]], 1/3600],
[[[1, 2], [3, 3], [6, 2], [9, 2]], 1/46656],
[[[1, 2], [3, 3], [9, 2], [12, 1]], 1/7776],
[[[1, 2], [3, 5], [5, 1], [15, 1]], 1/12960],
[[[1, 2], [4, 1], [8, 1], [24, 2]], 1/1152],
[[[1, 2], [4, 1], [8, 1], [40, 1]], 1/320],
[[[1, 2], [4, 1], [8, 3], [24, 1]], 1/1152],
[[[1, 3], [2, 1], [3, 1], [4, 9]], 1/829440],
[[[1, 3], [2, 1], [3, 4], [9, 2]], 1/5184],
[[[1, 3], [2, 1], [4, 2], [8, 4]], 1/3072],
[[[1, 3], [2, 1], [4, 2], [12, 4]], 1/41472],
[[[1, 3], [2, 1], [4, 2], [20, 2]], 1/3200],
[[[1, 3], [2, 1], [4, 4], [12, 3]], 1/20736],
[[[1, 3], [2, 1], [4, 6], [12, 2]], 7/276480],
[[[1, 3], [2, 1], [4, 6], [20, 1]], 1/230400],
[[[1, 3], [2, 1], [4, 8], [12, 1]], 1/829440],
[[[1, 3], [2, 1], [8, 1], [24, 2]], 1/3456],
[[[1, 3], [2, 1], [8, 1], [40, 1]], 1/960],
[[[1, 3], [2, 1], [8, 3], [24, 1]], 1/3456],
[[[1, 3], [2, 3], [3, 2], [6, 7]], 1/2519424],
[[[1, 3], [2, 3], [3, 3], [6, 6]], 47/559872],
[[[1, 3], [2, 3], [3, 3], [9, 2]], 1/124416],
[[[1, 3], [2, 3], [3, 4], [6, 5]], 85/559872],
[[[1, 3], [2, 3], [3, 5], [6, 4]], 85/559872],
[[[1, 3], [2, 3], [3, 6], [6, 3]], 47/559872],
[[[1, 3], [2, 3], [3, 7], [6, 2]], 1/2519424],
[[[1, 3], [2, 3], [4, 1], [8, 4]], 1/1536],
[[[1, 3], [2, 3], [4, 3], [8, 3]], 5/1536],
[[[1, 3], [2, 3], [4, 3], [12, 3]], 1/4608],
[[[1, 3], [2, 3], [4, 5], [8, 2]], 1/1024],
[[[1, 3], [2, 3], [4, 5], [12, 2]], 209/110592],
[[[1, 3], [2, 3], [4, 5], [20, 1]], 41/30720],
[[[1, 3], [2, 3], [4, 7], [8, 1]], 7/16384],
[[[1, 3], [2, 3], [4, 7], [12, 1]], 239/276480],
[[[1, 3], [2, 3], [6, 3], [18, 2]], 1/124416],
[[[1, 3], [2, 5], [3, 1], [6, 7]], 25/40310784],
[[[1, 3], [2, 5], [3, 2], [6, 6]], 26441/67184640],
[[[1, 3], [2, 5], [3, 3], [6, 5]], 2051/2985984],
[[[1, 3], [2, 5], [3, 4], [6, 4]], 4145/8957952],
[[[1, 3], [2, 5], [3, 5], [6, 3]], 125/4478976],
[[[1, 3], [2, 5], [3, 6], [6, 2]], 1/1492992],
[[[1, 3], [2, 5], [3, 7], [6, 1]], 1/80621568],
[[[1, 3], [2, 5], [4, 2], [6, 6]], 37/53747712],
[[[1, 3], [2, 5], [4, 2], [8, 3]], 1/3072],
[[[1, 3], [2, 5], [4, 2], [10, 3]], 37/1152000],
[[[1, 3], [2, 5], [4, 3], [6, 5]], 1/995328],
[[[1, 3], [2, 5], [4, 4], [6, 4]], 1/1327104],
[[[1, 3], [2, 5], [4, 4], [8, 2]], 7/12288],
[[[1, 3], [2, 5], [4, 4], [10, 2]], 1/102400],
[[[1, 3], [2, 5], [4, 4], [12, 2]], 5/18432],
[[[1, 3], [2, 5], [4, 4], [20, 1]], 1/5120],
[[[1, 3], [2, 5], [4, 6], [8, 1]], 1/23040],
[[[1, 3], [2, 5], [4, 6], [12, 1]], 1/9216],
[[[1, 3], [2, 5], [4, 7], [6, 1]], 23/414720],
[[[1, 3], [2, 5], [5, 2], [10, 2]], 1/24000],
[[[1, 3], [2, 5], [6, 2], [10, 3]], 1/432000],
[[[1, 3], [2, 5], [6, 2], [18, 2]], 5/31104],
[[[1, 3], [2, 5], [6, 4], [10, 2]], 1/1036800],
[[[1, 3], [2, 5], [6, 5], [18, 1]], 1/124416],
[[[1, 3], [2, 5], [6, 6], [10, 1]], 1/5598720],
[[[1, 3], [2, 7], [3, 1], [6, 6]], 69431/403107840],
[[[1, 3], [2, 7], [3, 1], [10, 3]], 1/432000],
[[[1, 3], [2, 7], [3, 2], [6, 5]], 63731/134369280],
[[[1, 3], [2, 7], [3, 3], [6, 4]], 1027/4976640],
[[[1, 3], [2, 7], [3, 4], [6, 3]], 529/22394880],
[[[1, 3], [2, 7], [3, 5], [6, 2]], 1/1399680],
[[[1, 3], [2, 7], [4, 1], [6, 6]], 1303/89579520],
[[[1, 3], [2, 7], [4, 1], [10, 3]], 11/384000],
[[[1, 3], [2, 7], [4, 2], [6, 5]], 107/8957952],
[[[1, 3], [2, 7], [4, 3], [6, 4]], 31/3981312],
[[[1, 3], [2, 7], [4, 3], [8, 2]], 31/737280],
[[[1, 3], [2, 7], [4, 3], [10, 2]], 11/307200],
[[[1, 3], [2, 7], [4, 3], [12, 2]], 1/663552],
[[[1, 3], [2, 7], [4, 3], [20, 1]], 1/184320],
[[[1, 3], [2, 7], [4, 4], [6, 3]], 5/1327104],
[[[1, 3], [2, 7], [4, 5], [6, 2]], 5/1769472],
[[[1, 3], [2, 7], [4, 5], [8, 1]], 13/294912],
[[[1, 3], [2, 7], [4, 5], [10, 1]], 1/98304],
[[[1, 3], [2, 7], [4, 5], [12, 1]], 5/331776],
[[[1, 3], [2, 7], [6, 1], [10, 3]], 13/864000],
[[[1, 3], [2, 7], [6, 3], [10, 2]], 13/1036800],
[[[1, 3], [2, 7], [6, 4], [18, 1]], 5/31104],
[[[1, 3], [2, 7], [6, 5], [10, 1]], 13/3732480],
[[[1, 3], [2, 7], [6, 5], [12, 1]], 1/829440],
[[[1, 3], [2, 9], [3, 1], [6, 5]], 13231/214990848],
[[[1, 3], [2, 9], [3, 2], [4, 4]], 1/39813120],
[[[1, 3], [2, 9], [3, 2], [6, 4]], 139739/3224862720],
[[[1, 3], [2, 9], [3, 3], [6, 3]], 217/35831808],
[[[1, 3], [2, 9], [3, 4], [6, 2]], 23/358318080],
[[[1, 3], [2, 9], [4, 1], [6, 5]], 319/11943936],
[[[1, 3], [2, 9], [4, 2], [6, 4]], 20297/716636160],
[[[1, 3], [2, 9], [4, 2], [8, 2]], 7/4423680],
[[[1, 3], [2, 9], [4, 2], [10, 2]], 937/55296000],
[[[1, 3], [2, 9], [4, 3], [6, 3]], 59/4976640],
[[[1, 3], [2, 9], [4, 4], [5, 1]], 1/11059200],
[[[1, 3], [2, 9], [4, 4], [6, 2]], 59/17694720],
[[[1, 3], [2, 9], [4, 4], [8, 1]], 7/1105920],
[[[1, 3], [2, 9], [4, 4], [10, 1]], 17/14745600],
[[[1, 3], [2, 9], [4, 5], [6, 1]], 5/1769472],
[[[1, 3], [2, 9], [5, 2], [10, 1]], 1/3456000],
[[[1, 3], [2, 9], [6, 2], [10, 2]], 1133/27648000],
[[[1, 3], [2, 9], [6, 4], [10, 1]], 1151/33177600],
[[[1, 3], [2, 11], [3, 1], [6, 4]], 769/100776960],
[[[1, 3], [2, 11], [3, 1], [10, 2]], 1/20736000],
[[[1, 3], [2, 11], [3, 2], [6, 3]], 397/2687385600],
[[[1, 3], [2, 11], [4, 1], [6, 4]], 3143/119439360],
[[[1, 3], [2, 11], [4, 1], [10, 2]], 11/3072000],
[[[1, 3], [2, 11], [4, 2], [6, 3]], 10663/537477120],
[[[1, 3], [2, 11], [4, 3], [6, 2]], 857/159252480],
[[[1, 3], [2, 11], [4, 3], [8, 1]], 1/1966080],
[[[1, 3], [2, 11], [4, 3], [10, 1]], 37/44236800],
[[[1, 3], [2, 11], [4, 4], [6, 1]], 1/2654208],
[[[1, 3], [2, 11], [6, 1], [10, 2]], 353/41472000],
[[[1, 3], [2, 11], [6, 3], [10, 1]], 6169/223948800],
[[[1, 3], [2, 13], [3, 1], [6, 3]], 20387/25798901760],
[[[1, 3], [2, 13], [3, 2], [6, 2]], 19/8599633920],
[[[1, 3], [2, 13], [4, 1], [6, 3]], 2779/358318080],
[[[1, 3], [2, 13], [4, 2], [6, 2]], 85787/28665446400],
[[[1, 3], [2, 13], [4, 2], [10, 1]], 2587/7962624000],
[[[1, 3], [2, 13], [4, 3], [6, 1]], 461/1592524800],
[[[1, 3], [2, 13], [6, 2], [10, 1]], 473/93312000],
[[[1, 3], [2, 15], [3, 1], [6, 2]], 1231/42998169600],
[[[1, 3], [2, 15], [3, 1], [10, 1]], 1/2985984000],
[[[1, 3], [2, 15], [3, 2], [6, 1]], 1/161243136000],
[[[1, 3], [2, 15], [4, 1], [6, 2]], 13637/19110297600],
[[[1, 3], [2, 15], [4, 1], [10, 1]], 317/5308416000],
[[[1, 3], [2, 15], [4, 2], [6, 1]], 173/1433272320],
[[[1, 3], [2, 15], [6, 1], [10, 1]], 1087/3981312000],
[[[1, 3], [2, 17], [3, 1], [4, 1]], 1/214990848000],
[[[1, 3], [2, 17], [3, 1], [6, 1]], 47/128994508800],
[[[1, 3], [2, 17], [4, 1], [6, 1]], 7/298598400],
[[[1, 4], [2, 2], [3, 1], [4, 8]], 7/552960],
[[[1, 4], [2, 2], [3, 3], [6, 6]], 1/559872],
[[[1, 4], [2, 2], [3, 3], [9, 2]], 17/41472],
[[[1, 4], [2, 2], [3, 4], [6, 5]], 5/186624],
[[[1, 4], [2, 2], [3, 5], [6, 4]], 13/186624],
[[[1, 4], [2, 2], [3, 6], [4, 3]], 1/8957952],
[[[1, 4], [2, 2], [3, 6], [6, 3]], 17/373248],
[[[1, 4], [2, 2], [3, 7], [6, 2]], 7/139968],
[[[1, 4], [2, 2], [3, 8], [6, 1]], 1/30233088],
[[[1, 4], [2, 2], [4, 1], [8, 4]], 1/9216],
[[[1, 4], [2, 2], [4, 3], [5, 3]], 1/192000],
[[[1, 4], [2, 2], [4, 3], [8, 3]], 1/1024],
[[[1, 4], [2, 2], [4, 3], [12, 3]], 1/6912],
[[[1, 4], [2, 2], [4, 5], [12, 2]], 1/6144],
[[[1, 4], [2, 2], [4, 5], [20, 1]], 1/15360],
[[[1, 4], [2, 2], [4, 7], [8, 1]], 1/368640],
[[[1, 4], [2, 2], [4, 7], [12, 1]], 1/46080],
[[[1, 4], [2, 2], [5, 4], [6, 1]], 1/180000],
[[[1, 4], [2, 4], [3, 1], [6, 7]], 1/6718464],
[[[1, 4], [2, 4], [3, 2], [5, 3]], 1/5184000],
[[[1, 4], [2, 4], [3, 2], [6, 6]], 41/8957952],
[[[1, 4], [2, 4], [3, 2], [9, 2]], 1/20736],
[[[1, 4], [2, 4], [3, 3], [6, 5]], 1493/2239488],
[[[1, 4], [2, 4], [3, 4], [4, 4]], 1/2654208],
[[[1, 4], [2, 4], [3, 4], [5, 2]], 1/12441600],
[[[1, 4], [2, 4], [3, 4], [6, 4]], 6913/5971968],
[[[1, 4], [2, 4], [3, 5], [6, 3]], 1493/2239488],
[[[1, 4], [2, 4], [3, 6], [5, 1]], 1/67184640],
[[[1, 4], [2, 4], [3, 6], [6, 2]], 41/8957952],
[[[1, 4], [2, 4], [3, 7], [6, 1]], 1/6718464],
[[[1, 4], [2, 4], [4, 2], [8, 3]], 1/512],
[[[1, 4], [2, 4], [4, 4], [5, 2]], 1/204800],
[[[1, 4], [2, 4], [4, 4], [6, 4]], 1/2654208],
[[[1, 4], [2, 4], [4, 4], [8, 2]], 131/49152],
[[[1, 4], [2, 4], [4, 4], [10, 2]], 1/204800],
[[[1, 4], [2, 4], [4, 4], [12, 2]], 19/36864],
[[[1, 4], [2, 4], [4, 4], [20, 1]], 7/10240],
[[[1, 4], [2, 4], [4, 6], [8, 1]], 37/30720],
[[[1, 4], [2, 4], [4, 6], [12, 1]], 1/768],
[[[1, 4], [2, 4], [5, 2], [10, 2]], 1/4000],
[[[1, 4], [2, 4], [6, 2], [10, 3]], 1/5184000],
[[[1, 4], [2, 4], [6, 2], [18, 2]], 1/20736],
[[[1, 4], [2, 4], [6, 4], [10, 2]], 1/12441600],
[[[1, 4], [2, 4], [6, 6], [10, 1]], 1/67184640],
[[[1, 4], [2, 6], [3, 1], [6, 6]], 211/26873856],
[[[1, 4], [2, 6], [3, 1], [10, 3]], 1/144000],
[[[1, 4], [2, 6], [3, 2], [4, 5]], 5/1769472],
[[[1, 4], [2, 6], [3, 2], [6, 5]], 1277/2239488],
[[[1, 4], [2, 6], [3, 3], [6, 4]], 11383/14929920],
[[[1, 4], [2, 6], [3, 4], [6, 3]], 61/373248],
[[[1, 4], [2, 6], [3, 5], [6, 2]], 23/2239488],
[[[1, 4], [2, 6], [3, 6], [4, 1]], 1/107495424],
[[[1, 4], [2, 6], [3, 6], [6, 1]], 1/8957952],
[[[1, 4], [2, 6], [4, 1], [5, 3]], 1/2304000],
[[[1, 4], [2, 6], [4, 1], [6, 6]], 7/17915904],
[[[1, 4], [2, 6], [4, 1], [10, 3]], 7/384000],
[[[1, 4], [2, 6], [4, 2], [6, 5]], 43/5971968],
[[[1, 4], [2, 6], [4, 3], [6, 4]], 1/124416],
[[[1, 4], [2, 6], [4, 3], [8, 2]], 85/147456],
[[[1, 4], [2, 6], [4, 3], [10, 2]], 1/15360],
[[[1, 4], [2, 6], [4, 3], [12, 2]], 1/55296],
[[[1, 4], [2, 6], [4, 3], [20, 1]], 1/15360],
[[[1, 4], [2, 6], [4, 4], [6, 3]], 5/442368],
[[[1, 4], [2, 6], [4, 5], [5, 1]], 1/98304],
[[[1, 4], [2, 6], [4, 5], [6, 2]], 5/589824],
[[[1, 4], [2, 6], [4, 5], [8, 1]], 5/16384],
[[[1, 4], [2, 6], [4, 5], [10, 1]], 1/32768],
[[[1, 4], [2, 6], [4, 5], [12, 1]], 5/27648],
[[[1, 4], [2, 6], [4, 6], [6, 1]], 11/110592],
[[[1, 4], [2, 6], [6, 1], [10, 3]], 37/5184000],
[[[1, 4], [2, 6], [6, 3], [10, 2]], 37/6220800],
[[[1, 4], [2, 6], [6, 4], [18, 1]], 1/20736],
[[[1, 4], [2, 6], [6, 5], [10, 1]], 37/22394880],
[[[1, 4], [2, 8], [3, 1], [6, 5]], 34423/358318080],
[[[1, 4], [2, 8], [3, 2], [4, 4]], 17/39813120],
[[[1, 4], [2, 8], [3, 2], [6, 4]], 79127/358318080],
[[[1, 4], [2, 8], [3, 3], [4, 3]], 1/14929920],
[[[1, 4], [2, 8], [3, 3], [6, 3]], 9461/89579520],
[[[1, 4], [2, 8], [3, 4], [4, 2]], 1/31850496],
[[[1, 4], [2, 8], [3, 4], [6, 2]], 133/39813120],
[[[1, 4], [2, 8], [3, 5], [6, 1]], 1/71663616],
[[[1, 4], [2, 8], [4, 1], [6, 5]], 1/41472],
[[[1, 4], [2, 8], [4, 2], [5, 2]], 1/2457600],
[[[1, 4], [2, 8], [4, 2], [6, 4]], 1231/23887872],
[[[1, 4], [2, 8], [4, 2], [8, 2]], 53/1474560],
[[[1, 4], [2, 8], [4, 2], [10, 2]], 107/1843200],
[[[1, 4], [2, 8], [4, 3], [6, 3]], 37/995328],
[[[1, 4], [2, 8], [4, 4], [5, 1]], 17/11059200],
[[[1, 4], [2, 8], [4, 4], [6, 2]], 359/13271040],
[[[1, 4], [2, 8], [4, 4], [8, 1]], 209/2211840],
[[[1, 4], [2, 8], [4, 4], [10, 1]], 169/3686400],
[[[1, 4], [2, 8], [4, 4], [12, 1]], 1/221184],
[[[1, 4], [2, 8], [4, 5], [6, 1]], 5/294912],
[[[1, 4], [2, 8], [5, 1], [10, 2]], 1/230400],
[[[1, 4], [2, 8], [5, 2], [10, 1]], 7/1152000],
[[[1, 4], [2, 8], [6, 2], [10, 2]], 2437/82944000],
[[[1, 4], [2, 8], [6, 4], [10, 1]], 13451/895795200],
[[[1, 4], [2, 10], [3, 1], [4, 4]], 1/4423680],
[[[1, 4], [2, 10], [3, 1], [6, 4]], 14087/537477120],
[[[1, 4], [2, 10], [3, 1], [10, 2]], 7/13824000],
[[[1, 4], [2, 10], [3, 2], [4, 3]], 25/191102976],
[[[1, 4], [2, 10], [3, 2], [6, 3]], 517/89579520],
[[[1, 4], [2, 10], [3, 3], [6, 2]], 1427/1791590400],
[[[1, 4], [2, 10], [4, 1], [6, 4]], 3253/59719680],
[[[1, 4], [2, 10], [4, 1], [8, 2]], 1/4423680],
[[[1, 4], [2, 10], [4, 1], [10, 2]], 17/1152000],
[[[1, 4], [2, 10], [4, 2], [6, 3]], 8243/119439360],
[[[1, 4], [2, 10], [4, 3], [5, 1]], 5/10616832],
[[[1, 4], [2, 10], [4, 3], [6, 2]], 1849/53084160],
[[[1, 4], [2, 10], [4, 3], [8, 1]], 277/26542080],
[[[1, 4], [2, 10], [4, 3], [10, 1]], 19/1769472],
[[[1, 4], [2, 10], [4, 4], [6, 1]], 55/3538944],
[[[1, 4], [2, 10], [6, 1], [10, 2]], 73/3888000],
[[[1, 4], [2, 10], [6, 3], [10, 1]], 14039/335923200],
[[[1, 4], [2, 12], [3, 1], [6, 3]], 6731/1343692800],
[[[1, 4], [2, 12], [3, 2], [6, 2]], 1891/14332723200],
[[[1, 4], [2, 12], [4, 1], [6, 3]], 10793/358318080],
[[[1, 4], [2, 12], [4, 2], [6, 2]], 19589/955514880],
[[[1, 4], [2, 12], [4, 2], [8, 1]], 1/5308416],
[[[1, 4], [2, 12], [4, 2], [10, 1]], 889/265420800],
[[[1, 4], [2, 12], [4, 3], [6, 1]], 347/79626240],
[[[1, 4], [2, 12], [5, 1], [10, 1]], 1/33177600],
[[[1, 4], [2, 12], [6, 2], [10, 1]], 285973/17915904000],
[[[1, 4], [2, 14], [3, 1], [4, 2]], 1/1592524800],
[[[1, 4], [2, 14], [3, 1], [6, 2]], 4181/14332723200],
[[[1, 4], [2, 14], [3, 1], [10, 1]], 1/165888000],
[[[1, 4], [2, 14], [3, 2], [6, 1]], 1/3583180800],
[[[1, 4], [2, 14], [4, 1], [6, 2]], 30053/6370099200],
[[[1, 4], [2, 14], [4, 1], [10, 1]], 311/589824000],
[[[1, 4], [2, 14], [4, 2], [6, 1]], 13733/9555148800],
[[[1, 4], [2, 14], [6, 1], [10, 1]], 26141/17915904000],
[[[1, 4], [2, 16], [3, 1], [4, 1]], 23/107495424000],
[[[1, 4], [2, 16], [3, 1], [6, 1]], 2341/429981696000],
[[[1, 4], [2, 16], [4, 1], [6, 1]], 2243/9555148800],
[[[1, 4], [3, 2], [4, 2], [5, 3]], 1/432000],
[[[1, 4], [3, 2], [5, 1], [9, 2]], 1/6480],
[[[1, 4], [3, 2], [5, 2], [15, 1]], 1/1800],
[[[1, 4], [3, 2], [6, 2], [9, 2]], 1/46656],
[[[1, 4], [3, 2], [9, 2], [12, 1]], 1/7776],
[[[1, 4], [3, 4], [4, 2], [5, 2]], 1/1036800],
[[[1, 4], [3, 4], [4, 2], [6, 4]], 1/995328],
[[[1, 4], [3, 4], [5, 1], [15, 1]], 1/4320],
[[[1, 4], [3, 5], [5, 1], [9, 1]], 1/12960],
[[[1, 4], [3, 5], [6, 2], [9, 1]], 1/46656],
[[[1, 4], [3, 5], [9, 1], [12, 1]], 1/7776],
[[[1, 4], [3, 6], [4, 2], [5, 1]], 1/5598720],
[[[1, 4], [4, 2], [12, 2], [20, 1]], 1/69120],
[[[1, 4], [4, 4], [12, 1], [20, 1]], 1/69120],
[[[1, 5], [2, 1], [3, 3], [9, 2]], 11/41472],
[[[1, 5], [2, 1], [3, 4], [6, 5]], 1/279936],
[[[1, 5], [2, 1], [3, 6], [4, 3]], 1/8957952],
[[[1, 5], [2, 1], [3, 6], [6, 3]], 1/103680],
[[[1, 5], [2, 1], [3, 6], [9, 1]], 1/5184],
[[[1, 5], [2, 1], [3, 7], [4, 2]], 1/6718464],
[[[1, 5], [2, 1], [3, 8], [4, 1]], 1/13436928],
[[[1, 5], [2, 1], [3, 8], [6, 1]], 253/25194240],
[[[1, 5], [2, 1], [4, 1], [5, 4]], 1/80000],
[[[1, 5], [2, 1], [4, 3], [5, 3]], 1/192000],
[[[1, 5], [2, 1], [4, 3], [12, 3]], 1/82944],
[[[1, 5], [2, 1], [4, 5], [12, 2]], 1/73728],
[[[1, 5], [2, 1], [4, 5], [20, 1]], 1/184320],
[[[1, 5], [2, 1], [4, 7], [8, 1]], 1/4423680],
[[[1, 5], [2, 1], [4, 7], [12, 1]], 1/552960],
[[[1, 5], [2, 3], [3, 1], [4, 7]], 23/414720],
[[[1, 5], [2, 3], [3, 1], [6, 7]], 1/80621568],
[[[1, 5], [2, 3], [3, 2], [5, 3]], 1/432000],
[[[1, 5], [2, 3], [3, 2], [6, 6]], 1/1492992],
[[[1, 5], [2, 3], [3, 2], [9, 2]], 5/31104],
[[[1, 5], [2, 3], [3, 3], [6, 5]], 125/4478976],
[[[1, 5], [2, 3], [3, 4], [4, 4]], 1/1327104],
[[[1, 5], [2, 3], [3, 4], [5, 2]], 1/1036800],
[[[1, 5], [2, 3], [3, 4], [6, 4]], 4145/8957952],
[[[1, 5], [2, 3], [3, 5], [4, 3]], 1/995328],
[[[1, 5], [2, 3], [3, 5], [6, 3]], 2051/2985984],
[[[1, 5], [2, 3], [3, 5], [9, 1]], 1/124416],
[[[1, 5], [2, 3], [3, 6], [4, 2]], 37/53747712],
[[[1, 5], [2, 3], [3, 6], [5, 1]], 1/5598720],
[[[1, 5], [2, 3], [3, 6], [6, 2]], 26441/67184640],
[[[1, 5], [2, 3], [3, 7], [6, 1]], 25/40310784],
[[[1, 5], [2, 3], [4, 2], [5, 3]], 37/1152000],
[[[1, 5], [2, 3], [4, 2], [8, 3]], 1/3072],
[[[1, 5], [2, 3], [4, 4], [5, 2]], 1/102400],
[[[1, 5], [2, 3], [4, 4], [8, 2]], 7/12288],
[[[1, 5], [2, 3], [4, 4], [12, 2]], 5/18432],
[[[1, 5], [2, 3], [4, 4], [20, 1]], 1/5120],
[[[1, 5], [2, 3], [4, 6], [8, 1]], 1/23040],
[[[1, 5], [2, 3], [4, 6], [12, 1]], 1/9216],
[[[1, 5], [2, 3], [5, 2], [10, 2]], 1/24000],
[[[1, 5], [2, 5], [3, 1], [5, 3]], 1/1728000],
[[[1, 5], [2, 5], [3, 1], [6, 6]], 115/80621568],
[[[1, 5], [2, 5], [3, 1], [10, 3]], 1/432000],
[[[1, 5], [2, 5], [3, 2], [4, 5]], 5/589824],
[[[1, 5], [2, 5], [3, 2], [6, 5]], 35/746496],
[[[1, 5], [2, 5], [3, 3], [4, 4]], 11/1327104],
[[[1, 5], [2, 5], [3, 3], [5, 2]], 1/2073600],
[[[1, 5], [2, 5], [3, 3], [6, 4]], 283/414720],
[[[1, 5], [2, 5], [3, 4], [4, 3]], 19/7962624],
[[[1, 5], [2, 5], [3, 4], [6, 3]], 283/414720],
[[[1, 5], [2, 5], [3, 5], [5, 1]], 1/7464960],
[[[1, 5], [2, 5], [3, 5], [6, 2]], 35/746496],
[[[1, 5], [2, 5], [3, 6], [4, 1]], 13/107495424],
[[[1, 5], [2, 5], [3, 6], [6, 1]], 115/80621568],
[[[1, 5], [2, 5], [4, 1], [5, 3]], 13/2304000],
[[[1, 5], [2, 5], [4, 1], [6, 6]], 13/107495424],
[[[1, 5], [2, 5], [4, 1], [10, 3]], 13/2304000],
[[[1, 5], [2, 5], [4, 3], [5, 2]], 19/614400],
[[[1, 5], [2, 5], [4, 3], [6, 4]], 19/7962624],
[[[1, 5], [2, 5], [4, 3], [8, 2]], 53/24576],
[[[1, 5], [2, 5], [4, 3], [10, 2]], 19/614400],
[[[1, 5], [2, 5], [4, 3], [12, 2]], 1/36864],
[[[1, 5], [2, 5], [4, 3], [20, 1]], 1/10240],
[[[1, 5], [2, 5], [4, 4], [6, 3]], 11/1327104],
[[[1, 5], [2, 5], [4, 5], [5, 1]], 1/32768],
[[[1, 5], [2, 5], [4, 5], [6, 2]], 5/589824],
[[[1, 5], [2, 5], [4, 5], [8, 1]], 73/49152],
[[[1, 5], [2, 5], [4, 5], [10, 1]], 1/32768],
[[[1, 5], [2, 5], [4, 5], [12, 1]], 11/18432],
[[[1, 5], [2, 5], [5, 3], [6, 1]], 1/432000],
[[[1, 5], [2, 5], [6, 1], [10, 3]], 1/1728000],
[[[1, 5], [2, 5], [6, 3], [10, 2]], 1/2073600],
[[[1, 5], [2, 5], [6, 5], [10, 1]], 1/7464960],
[[[1, 5], [2, 7], [3, 1], [4, 5]], 13/589824],
[[[1, 5], [2, 7], [3, 1], [6, 5]], 4307/119439360],
[[[1, 5], [2, 7], [3, 2], [4, 4]], 2089/159252480],
[[[1, 5], [2, 7], [3, 2], [5, 2]], 1/16588800],
[[[1, 5], [2, 7], [3, 2], [6, 4]], 1757/4423680],
[[[1, 5], [2, 7], [3, 3], [4, 3]], 1/995328],
[[[1, 5], [2, 7], [3, 3], [6, 3]], 75767/179159040],
[[[1, 5], [2, 7], [3, 4], [4, 2]], 7/15925248],
[[[1, 5], [2, 7], [3, 4], [5, 1]], 1/59719680],
[[[1, 5], [2, 7], [3, 4], [6, 2]], 17281/358318080],
[[[1, 5], [2, 7], [3, 5], [4, 1]], 1/11943936],
[[[1, 5], [2, 7], [3, 5], [6, 1]], 13/23887872],
[[[1, 5], [2, 7], [4, 1], [6, 5]], 151/35831808],
[[[1, 5], [2, 7], [4, 2], [5, 2]], 7/1228800],
[[[1, 5], [2, 7], [4, 2], [6, 4]], 157/5308416],
[[[1, 5], [2, 7], [4, 2], [8, 2]], 1081/4423680],
[[[1, 5], [2, 7], [4, 2], [10, 2]], 79/1228800],
[[[1, 5], [2, 7], [4, 3], [6, 3]], 245/3981312],
[[[1, 5], [2, 7], [4, 4], [5, 1]], 2089/44236800],
[[[1, 5], [2, 7], [4, 4], [6, 2]], 97/1327104],
[[[1, 5], [2, 7], [4, 4], [8, 1]], 133/245760],
[[[1, 5], [2, 7], [4, 4], [10, 1]], 53/368640],
[[[1, 5], [2, 7], [4, 4], [12, 1]], 1/18432],
[[[1, 5], [2, 7], [4, 5], [6, 1]], 5/49152],
[[[1, 5], [2, 7], [5, 1], [10, 2]], 1/25600],
[[[1, 5], [2, 7], [5, 2], [10, 1]], 17/432000],
[[[1, 5], [2, 7], [6, 2], [10, 2]], 23/1843200],
[[[1, 5], [2, 7], [6, 4], [10, 1]], 359/59719680],
[[[1, 5], [2, 9], [3, 1], [4, 4]], 37/9953280],
[[[1, 5], [2, 9], [3, 1], [6, 4]], 4307/100776960],
[[[1, 5], [2, 9], [3, 1], [10, 2]], 23/10368000],
[[[1, 5], [2, 9], [3, 2], [4, 3]], 251/106168320],
[[[1, 5], [2, 9], [3, 2], [6, 3]], 589/11943936],
[[[1, 5], [2, 9], [3, 3], [4, 2]], 31/79626240],
[[[1, 5], [2, 9], [3, 3], [6, 2]], 497/35831808],
[[[1, 5], [2, 9], [3, 4], [4, 1]], 1/95551488],
[[[1, 5], [2, 9], [3, 4], [6, 1]], 47/179159040],
[[[1, 5], [2, 9], [4, 1], [5, 2]], 1/7372800],
[[[1, 5], [2, 9], [4, 1], [6, 4]], 34999/716636160],
[[[1, 5], [2, 9], [4, 1], [8, 2]], 1/245760],
[[[1, 5], [2, 9], [4, 1], [10, 2]], 1499/55296000],
[[[1, 5], [2, 9], [4, 2], [6, 3]], 31/294912],
[[[1, 5], [2, 9], [4, 3], [5, 1]], 689/88473600],
[[[1, 5], [2, 9], [4, 3], [6, 2]], 373/3317760],
[[[1, 5], [2, 9], [4, 3], [8, 1]], 391/4423680],
[[[1, 5], [2, 9], [4, 3], [10, 1]], 79/1228800],
[[[1, 5], [2, 9], [4, 4], [6, 1]], 1159/13271040],
[[[1, 5], [2, 9], [6, 1], [10, 2]], 271/13824000],
[[[1, 5], [2, 9], [6, 3], [10, 1]], 2083/74649600],
[[[1, 5], [2, 11], [3, 1], [4, 3]], 289/318504960],
[[[1, 5], [2, 11], [3, 1], [6, 3]], 1076879/64497254400],
[[[1, 5], [2, 11], [3, 2], [4, 2]], 47/637009920],
[[[1, 5], [2, 11], [3, 2], [6, 2]], 10747/4777574400],
[[[1, 5], [2, 11], [3, 3], [6, 1]], 79/2866544640],
[[[1, 5], [2, 11], [4, 1], [6, 3]], 32297/537477120],
[[[1, 5], [2, 11], [4, 2], [5, 1]], 47/176947200],
[[[1, 5], [2, 11], [4, 2], [6, 2]], 463/7077888],
[[[1, 5], [2, 11], [4, 2], [8, 1]], 13/2949120],
[[[1, 5], [2, 11], [4, 2], [10, 1]], 1379/88473600],
[[[1, 5], [2, 11], [4, 3], [6, 1]], 4993/159252480],
[[[1, 5], [2, 11], [5, 1], [10, 1]], 1/1382400],
[[[1, 5], [2, 11], [6, 2], [10, 1]], 15931/597196800],
[[[1, 5], [2, 13], [3, 1], [4, 2]], 1/49766400],
[[[1, 5], [2, 13], [3, 1], [6, 2]], 11971/7166361600],
[[[1, 5], [2, 13], [3, 1], [10, 1]], 83/1492992000],
[[[1, 5], [2, 13], [3, 2], [6, 1]], 1/199065600],
[[[1, 5], [2, 13], [4, 1], [6, 2]], 490549/28665446400],
[[[1, 5], [2, 13], [4, 1], [8, 1]], 1/53084160],
[[[1, 5], [2, 13], [4, 1], [10, 1]], 20429/7962624000],
[[[1, 5], [2, 13], [4, 2], [6, 1]], 223/26542080],
[[[1, 5], [2, 13], [6, 1], [10, 1]], 27163/5971968000],
[[[1, 5], [2, 15], [3, 1], [4, 1]], 19/4777574400],
[[[1, 5], [2, 15], [3, 1], [6, 1]], 248161/5159780352000],
[[[1, 5], [2, 15], [4, 1], [6, 1]], 78121/57330892800],
[[[1, 6], [2, 2], [3, 2], [5, 3]], 1/288000],
[[[1, 6], [2, 2], [3, 2], [6, 6]], 1/17915904],
[[[1, 6], [2, 2], [3, 2], [9, 2]], 1/10368],
[[[1, 6], [2, 2], [3, 3], [6, 5]], 1/746496],
[[[1, 6], [2, 2], [3, 4], [4, 4]], 1/2654208],
[[[1, 6], [2, 2], [3, 4], [5, 2]], 1/691200],
[[[1, 6], [2, 2], [3, 4], [6, 4]], 115/1990656],
[[[1, 6], [2, 2], [3, 5], [4, 3]], 1/746496],
[[[1, 6], [2, 2], [3, 5], [6, 3]], 1/10368],
[[[1, 6], [2, 2], [3, 5], [9, 1]], 17/41472],
[[[1, 6], [2, 2], [3, 6], [4, 2]], 25/17915904],
[[[1, 6], [2, 2], [3, 6], [5, 1]], 1/3732480],
[[[1, 6], [2, 2], [3, 6], [6, 2]], 16309/89579520],
[[[1, 6], [2, 2], [3, 7], [4, 1]], 161/67184640],
[[[1, 6], [2, 2], [3, 7], [6, 1]], 5255/60466176],
[[[1, 6], [2, 2], [4, 2], [5, 3]], 13/384000],
[[[1, 6], [2, 2], [4, 4], [5, 2]], 1/204800],
[[[1, 6], [2, 2], [4, 4], [8, 2]], 1/98304],
[[[1, 6], [2, 2], [4, 4], [12, 2]], 5/221184],
[[[1, 6], [2, 2], [4, 4], [20, 1]], 1/61440],
[[[1, 6], [2, 2], [4, 6], [8, 1]], 1/276480],
[[[1, 6], [2, 2], [4, 6], [12, 1]], 1/110592],
[[[1, 6], [2, 4], [3, 1], [4, 6]], 11/110592],
[[[1, 6], [2, 4], [3, 1], [5, 3]], 37/5184000],
[[[1, 6], [2, 4], [3, 1], [6, 6]], 1/8957952],
[[[1, 6], [2, 4], [3, 2], [4, 5]], 5/589824],
[[[1, 6], [2, 4], [3, 2], [6, 5]], 23/2239488],
[[[1, 6], [2, 4], [3, 3], [4, 4]], 5/442368],
[[[1, 6], [2, 4], [3, 3], [5, 2]], 37/6220800],
[[[1, 6], [2, 4], [3, 3], [6, 4]], 61/373248],
[[[1, 6], [2, 4], [3, 4], [4, 3]], 1/124416],
[[[1, 6], [2, 4], [3, 4], [6, 3]], 11383/14929920],
[[[1, 6], [2, 4], [3, 4], [9, 1]], 1/20736],
[[[1, 6], [2, 4], [3, 5], [4, 2]], 43/5971968],
[[[1, 6], [2, 4], [3, 5], [5, 1]], 37/22394880],
[[[1, 6], [2, 4], [3, 5], [6, 2]], 1277/2239488],
[[[1, 6], [2, 4], [3, 6], [4, 1]], 7/17915904],
[[[1, 6], [2, 4], [3, 6], [6, 1]], 211/26873856],
[[[1, 6], [2, 4], [4, 1], [5, 3]], 7/384000],
[[[1, 6], [2, 4], [4, 1], [6, 6]], 1/107495424],
[[[1, 6], [2, 4], [4, 1], [10, 3]], 1/2304000],
[[[1, 6], [2, 4], [4, 3], [5, 2]], 1/15360],
[[[1, 6], [2, 4], [4, 3], [8, 2]], 85/147456],
[[[1, 6], [2, 4], [4, 3], [12, 2]], 1/55296],
[[[1, 6], [2, 4], [4, 3], [20, 1]], 1/15360],
[[[1, 6], [2, 4], [4, 5], [5, 1]], 1/32768],
[[[1, 6], [2, 4], [4, 5], [6, 2]], 5/1769472],
[[[1, 6], [2, 4], [4, 5], [8, 1]], 5/16384],
[[[1, 6], [2, 4], [4, 5], [10, 1]], 1/98304],
[[[1, 6], [2, 4], [4, 5], [12, 1]], 5/27648],
[[[1, 6], [2, 4], [5, 3], [6, 1]], 1/144000],
[[[1, 6], [2, 6], [3, 1], [4, 5]], 49/884736],
[[[1, 6], [2, 6], [3, 1], [6, 5]], 391/71663616],
[[[1, 6], [2, 6], [3, 2], [4, 4]], 655/10616832],
[[[1, 6], [2, 6], [3, 2], [5, 2]], 1/614400],
[[[1, 6], [2, 6], [3, 2], [6, 4]], 78191/358318080],
[[[1, 6], [2, 6], [3, 3], [4, 3]], 49/1327104],
[[[1, 6], [2, 6], [3, 3], [6, 3]], 11653/19906560],
[[[1, 6], [2, 6], [3, 4], [4, 2]], 101/47775744],
[[[1, 6], [2, 6], [3, 4], [5, 1]], 13/19906560],
[[[1, 6], [2, 6], [3, 4], [6, 2]], 78191/358318080],
[[[1, 6], [2, 6], [3, 5], [4, 1]], 5/4478976],
[[[1, 6], [2, 6], [3, 5], [6, 1]], 391/71663616],
[[[1, 6], [2, 6], [4, 1], [6, 5]], 5/4478976],
[[[1, 6], [2, 6], [4, 2], [5, 2]], 101/3686400],
[[[1, 6], [2, 6], [4, 2], [6, 4]], 101/47775744],
[[[1, 6], [2, 6], [4, 2], [8, 2]], 12713/33177600],
[[[1, 6], [2, 6], [4, 2], [10, 2]], 101/3686400],
[[[1, 6], [2, 6], [4, 3], [6, 3]], 49/1327104],
[[[1, 6], [2, 6], [4, 4], [5, 1]], 427/2949120],
[[[1, 6], [2, 6], [4, 4], [6, 2]], 655/10616832],
[[[1, 6], [2, 6], [4, 4], [8, 1]], 323/294912],
[[[1, 6], [2, 6], [4, 4], [10, 1]], 427/2949120],
[[[1, 6], [2, 6], [4, 4], [12, 1]], 1/12288],
[[[1, 6], [2, 6], [4, 5], [6, 1]], 49/884736],
[[[1, 6], [2, 6], [5, 1], [10, 2]], 1/11520],
[[[1, 6], [2, 6], [5, 2], [10, 1]], 1/11520],
[[[1, 6], [2, 6], [6, 2], [10, 2]], 1/614400],
[[[1, 6], [2, 6], [6, 4], [10, 1]], 13/19906560],
[[[1, 6], [2, 8], [3, 1], [4, 4]], 2977/31850496],
[[[1, 6], [2, 8], [3, 1], [5, 2]], 1/5529600],
[[[1, 6], [2, 8], [3, 1], [6, 4]], 6157/179159040],
[[[1, 6], [2, 8], [3, 1], [10, 2]], 11/2764800],
[[[1, 6], [2, 8], [3, 2], [4, 3]], 1003/53084160],
[[[1, 6], [2, 8], [3, 2], [6, 3]], 27503/179159040],
[[[1, 6], [2, 8], [3, 3], [4, 2]], 91/15925248],
[[[1, 6], [2, 8], [3, 3], [5, 1]], 1/9953280],
[[[1, 6], [2, 8], [3, 3], [6, 2]], 847/9953280],
[[[1, 6], [2, 8], [3, 4], [4, 1]], 5/11943936],
[[[1, 6], [2, 8], [3, 4], [6, 1]], 155/35831808],
[[[1, 6], [2, 8], [4, 1], [5, 2]], 1/460800],
[[[1, 6], [2, 8], [4, 1], [6, 4]], 1481/89579520],
[[[1, 6], [2, 8], [4, 1], [8, 2]], 91/4423680],
[[[1, 6], [2, 8], [4, 1], [10, 2]], 317/13824000],
[[[1, 6], [2, 8], [4, 2], [6, 3]], 889/11943936],
[[[1, 6], [2, 8], [4, 3], [5, 1]], 1511/26542080],
[[[1, 6], [2, 8], [4, 3], [6, 2]], 535/2654208],
[[[1, 6], [2, 8], [4, 3], [8, 1]], 50503/132710400],
[[[1, 6], [2, 8], [4, 3], [10, 1]], 43/245760],
[[[1, 6], [2, 8], [4, 4], [6, 1]], 2455/10616832],
[[[1, 6], [2, 8], [5, 2], [6, 1]], 1/2764800],
[[[1, 6], [2, 8], [6, 1], [10, 2]], 31/2764800],
[[[1, 6], [2, 8], [6, 3], [10, 1]], 19/1658880],
[[[1, 6], [2, 10], [3, 1], [4, 3]], 7159/477757440],
[[[1, 6], [2, 10], [3, 1], [6, 3]], 2651/79626240],
[[[1, 6], [2, 10], [3, 2], [4, 2]], 1427/637009920],
[[[1, 6], [2, 10], [3, 2], [5, 1]], 1/159252480],
[[[1, 6], [2, 10], [3, 2], [6, 2]], 605231/28665446400],
[[[1, 6], [2, 10], [3, 2], [8, 1]], 1/149299200],
[[[1, 6], [2, 10], [3, 3], [4, 1]], 31/238878720],
[[[1, 6], [2, 10], [3, 3], [6, 1]], 13/10616832],
[[[1, 6], [2, 10], [4, 1], [6, 3]], 6505/107495424],
[[[1, 6], [2, 10], [4, 2], [5, 1]], 863/176947200],
[[[1, 6], [2, 10], [4, 2], [6, 2]], 7297/63700992],
[[[1, 6], [2, 10], [4, 2], [8, 1]], 479/13271040],
[[[1, 6], [2, 10], [4, 2], [10, 1]], 2191/53084160],
[[[1, 6], [2, 10], [4, 3], [6, 1]], 1601/13271040],
[[[1, 6], [2, 10], [5, 1], [8, 1]], 1/41472000],
[[[1, 6], [2, 10], [5, 1], [10, 1]], 1/165888],
[[[1, 6], [2, 10], [6, 2], [10, 1]], 347/14745600],
[[[1, 6], [2, 12], [3, 1], [4, 2]], 2177/3185049600],
[[[1, 6], [2, 12], [3, 1], [6, 2]], 43409/7166361600],
[[[1, 6], [2, 12], [3, 1], [10, 1]], 7/24883200],
[[[1, 6], [2, 12], [3, 2], [4, 1]], 89/6370099200],
[[[1, 6], [2, 12], [3, 2], [6, 1]], 3001/14332723200],
[[[1, 6], [2, 12], [4, 1], [5, 1]], 89/1769472000],
[[[1, 6], [2, 12], [4, 1], [6, 2]], 1006903/28665446400],
[[[1, 6], [2, 12], [4, 1], [8, 1]], 67/132710400],
[[[1, 6], [2, 12], [4, 1], [10, 1]], 56423/7962624000],
[[[1, 6], [2, 12], [4, 2], [6, 1]], 27047/955514880],
[[[1, 6], [2, 12], [6, 1], [10, 1]], 3307/398131200],
[[[1, 6], [2, 14], [3, 1], [4, 1]], 23/597196800],
[[[1, 6], [2, 14], [3, 1], [6, 1]], 7781/28665446400],
[[[1, 6], [2, 14], [4, 1], [6, 1]], 13679/2866544640],
[[[1, 6], [3, 1], [4, 2], [5, 3]], 1/432000],
[[[1, 6], [3, 1], [6, 2], [9, 2]], 1/1866240],
[[[1, 6], [3, 1], [9, 2], [12, 1]], 1/311040],
[[[1, 6], [3, 3], [4, 2], [5, 2]], 1/518400],
[[[1, 6], [3, 3], [5, 1], [15, 1]], 1/6400],
[[[1, 6], [3, 4], [5, 1], [9, 1]], 1/6480],
[[[1, 6], [3, 4], [6, 2], [9, 1]], 1/46656],
[[[1, 6], [3, 4], [9, 1], [12, 1]], 1/7776],
[[[1, 6], [3, 5], [4, 2], [5, 1]], 1/1866240],
[[[1, 6], [3, 5], [5, 1], [6, 2]], 1/518400],
[[[1, 6], [3, 5], [5, 1], [12, 1]], 1/86400],
[[[1, 7], [2, 1], [3, 2], [5, 3]], 1/48000],
[[[1, 7], [2, 1], [3, 2], [9, 2]], 1/51840],
[[[1, 7], [2, 1], [3, 3], [6, 5]], 1/8957952],
[[[1, 7], [2, 1], [3, 4], [5, 2]], 17/1036800],
[[[1, 7], [2, 1], [3, 4], [6, 4]], 1/995328],
[[[1, 7], [2, 1], [3, 5], [4, 3]], 1/2985984],
[[[1, 7], [2, 1], [3, 5], [6, 3]], 1/124416],
[[[1, 7], [2, 1], [3, 5], [9, 1]], 11/41472],
[[[1, 7], [2, 1], [3, 6], [4, 2]], 25/53747712],
[[[1, 7], [2, 1], [3, 6], [5, 1]], 449/27993600],
[[[1, 7], [2, 1], [3, 6], [6, 2]], 1/622080],
[[[1, 7], [2, 1], [3, 6], [12, 1]], 1/103680],
[[[1, 7], [2, 1], [3, 7], [4, 1]], 121/67184640],
[[[1, 7], [2, 1], [3, 7], [6, 1]], 12797/403107840],
[[[1, 7], [2, 1], [4, 2], [5, 3]], 1/1152000],
[[[1, 7], [2, 3], [3, 1], [5, 3]], 13/864000],
[[[1, 7], [2, 3], [3, 2], [4, 5]], 5/1769472],
[[[1, 7], [2, 3], [3, 2], [6, 5]], 1/1399680],
[[[1, 7], [2, 3], [3, 3], [4, 4]], 5/1327104],
[[[1, 7], [2, 3], [3, 3], [5, 2]], 13/1036800],
[[[1, 7], [2, 3], [3, 3], [6, 4]], 529/22394880],
[[[1, 7], [2, 3], [3, 4], [4, 3]], 31/3981312],
[[[1, 7], [2, 3], [3, 4], [6, 3]], 1027/4976640],
[[[1, 7], [2, 3], [3, 4], [9, 1]], 5/31104],
[[[1, 7], [2, 3], [3, 5], [4, 2]], 107/8957952],
[[[1, 7], [2, 3], [3, 5], [5, 1]], 13/3732480],
[[[1, 7], [2, 3], [3, 5], [6, 2]], 63731/134369280],
[[[1, 7], [2, 3], [3, 5], [12, 1]], 1/829440],
[[[1, 7], [2, 3], [3, 6], [4, 1]], 1303/89579520],
[[[1, 7], [2, 3], [3, 6], [6, 1]], 69431/403107840],
[[[1, 7], [2, 3], [4, 1], [5, 3]], 11/384000],
[[[1, 7], [2, 3], [4, 3], [5, 2]], 11/307200],
[[[1, 7], [2, 3], [4, 3], [8, 2]], 31/737280],
[[[1, 7], [2, 3], [4, 3], [12, 2]], 1/663552],
[[[1, 7], [2, 3], [4, 3], [20, 1]], 1/184320],
[[[1, 7], [2, 3], [4, 5], [5, 1]], 1/98304],
[[[1, 7], [2, 3], [4, 5], [8, 1]], 13/294912],
[[[1, 7], [2, 3], [4, 5], [12, 1]], 5/331776],
[[[1, 7], [2, 3], [5, 3], [6, 1]], 1/432000],
[[[1, 7], [2, 5], [3, 1], [4, 5]], 5/49152],
[[[1, 7], [2, 5], [3, 1], [6, 5]], 13/23887872],
[[[1, 7], [2, 5], [3, 2], [4, 4]], 97/1327104],
[[[1, 7], [2, 5], [3, 2], [5, 2]], 23/1843200],
[[[1, 7], [2, 5], [3, 2], [6, 4]], 17281/358318080],
[[[1, 7], [2, 5], [3, 3], [4, 3]], 245/3981312],
[[[1, 7], [2, 5], [3, 3], [6, 3]], 75767/179159040],
[[[1, 7], [2, 5], [3, 4], [4, 2]], 157/5308416],
[[[1, 7], [2, 5], [3, 4], [5, 1]], 359/59719680],
[[[1, 7], [2, 5], [3, 4], [6, 2]], 1757/4423680],
[[[1, 7], [2, 5], [3, 5], [4, 1]], 151/35831808],
[[[1, 7], [2, 5], [3, 5], [6, 1]], 4307/119439360],
[[[1, 7], [2, 5], [4, 1], [6, 5]], 1/11943936],
[[[1, 7], [2, 5], [4, 2], [5, 2]], 79/1228800],
[[[1, 7], [2, 5], [4, 2], [6, 4]], 7/15925248],
[[[1, 7], [2, 5], [4, 2], [8, 2]], 1081/4423680],
[[[1, 7], [2, 5], [4, 2], [10, 2]], 7/1228800],
[[[1, 7], [2, 5], [4, 3], [6, 3]], 1/995328],
[[[1, 7], [2, 5], [4, 4], [5, 1]], 53/368640],
[[[1, 7], [2, 5], [4, 4], [6, 2]], 2089/159252480],
[[[1, 7], [2, 5], [4, 4], [8, 1]], 133/245760],
[[[1, 7], [2, 5], [4, 4], [10, 1]], 2089/44236800],
[[[1, 7], [2, 5], [4, 4], [12, 1]], 1/18432],
[[[1, 7], [2, 5], [4, 5], [6, 1]], 13/589824],
[[[1, 7], [2, 5], [5, 1], [10, 2]], 17/432000],
[[[1, 7], [2, 5], [5, 2], [10, 1]], 1/25600],
[[[1, 7], [2, 5], [6, 2], [10, 2]], 1/16588800],
[[[1, 7], [2, 5], [6, 4], [10, 1]], 1/59719680],
[[[1, 7], [2, 7], [3, 1], [4, 4]], 2389/9953280],
[[[1, 7], [2, 7], [3, 1], [5, 2]], 23/8294400],
[[[1, 7], [2, 7], [3, 1], [6, 4]], 19/995328],
[[[1, 7], [2, 7], [3, 1], [10, 2]], 1/460800],
[[[1, 7], [2, 7], [3, 2], [4, 3]], 4399/31850496],
[[[1, 7], [2, 7], [3, 2], [6, 3]], 168649/895795200],
[[[1, 7], [2, 7], [3, 3], [4, 2]], 13/442368],
[[[1, 7], [2, 7], [3, 3], [5, 1]], 29/14929920],
[[[1, 7], [2, 7], [3, 3], [6, 2]], 168649/895795200],
[[[1, 7], [2, 7], [3, 3], [10, 1]], 1/1555200],
[[[1, 7], [2, 7], [3, 4], [4, 1]], 101/23887872],
[[[1, 7], [2, 7], [3, 4], [6, 1]], 19/995328],
[[[1, 7], [2, 7], [4, 1], [5, 2]], 19/1843200],
[[[1, 7], [2, 7], [4, 1], [6, 4]], 101/23887872],
[[[1, 7], [2, 7], [4, 1], [8, 2]], 619/16588800],
[[[1, 7], [2, 7], [4, 1], [10, 2]], 19/1843200],
[[[1, 7], [2, 7], [4, 2], [6, 3]], 13/442368],
[[[1, 7], [2, 7], [4, 3], [5, 1]], 1523/8847360],
[[[1, 7], [2, 7], [4, 3], [6, 2]], 4399/31850496],
[[[1, 7], [2, 7], [4, 3], [8, 1]], 235399/398131200],
[[[1, 7], [2, 7], [4, 3], [10, 1]], 1523/8847360],
[[[1, 7], [2, 7], [4, 4], [6, 1]], 2389/9953280],
[[[1, 7], [2, 7], [5, 1], [6, 3]], 1/1555200],
[[[1, 7], [2, 7], [5, 2], [6, 1]], 1/460800],
[[[1, 7], [2, 7], [6, 1], [10, 2]], 23/8294400],
[[[1, 7], [2, 7], [6, 3], [10, 1]], 29/14929920],
[[[1, 7], [2, 9], [3, 1], [4, 3]], 10981/106168320],
[[[1, 7], [2, 9], [3, 1], [6, 3]], 2561/53084160],
[[[1, 7], [2, 9], [3, 2], [4, 2]], 41903/1911029760],
[[[1, 7], [2, 9], [3, 2], [5, 1]], 7/26542080],
[[[1, 7], [2, 9], [3, 2], [6, 2]], 650149/7166361600],
[[[1, 7], [2, 9], [3, 2], [8, 1]], 1/9953280],
[[[1, 7], [2, 9], [3, 2], [10, 1]], 1/12441600],
[[[1, 7], [2, 9], [3, 3], [4, 1]], 109/47775744],
[[[1, 7], [2, 9], [3, 3], [6, 1]], 40403/2866544640],
[[[1, 7], [2, 9], [4, 1], [6, 3]], 3751/119439360],
[[[1, 7], [2, 9], [4, 2], [5, 1]], 16319/530841600],
[[[1, 7], [2, 9], [4, 2], [6, 2]], 1583/11796480],
[[[1, 7], [2, 9], [4, 2], [8, 1]], 51437/398131200],
[[[1, 7], [2, 9], [4, 2], [10, 1]], 7061/88473600],
[[[1, 7], [2, 9], [4, 3], [6, 1]], 41099/159252480],
[[[1, 7], [2, 9], [5, 1], [6, 2]], 1/1382400],
[[[1, 7], [2, 9], [5, 1], [8, 1]], 1/2764800],
[[[1, 7], [2, 9], [5, 1], [10, 1]], 277/12441600],
[[[1, 7], [2, 9], [6, 2], [8, 1]], 1/9953280],
[[[1, 7], [2, 9], [6, 2], [10, 1]], 599/49766400],
[[[1, 7], [2, 9], [8, 1], [10, 1]], 1/2764800],
[[[1, 7], [2, 11], [3, 1], [4, 2]], 1463/159252480],
[[[1, 7], [2, 11], [3, 1], [5, 1]], 139/3981312000],
[[[1, 7], [2, 11], [3, 1], [6, 2]], 8077/477757440],
[[[1, 7], [2, 11], [3, 1], [8, 1]], 1/49766400],
[[[1, 7], [2, 11], [3, 1], [10, 1]], 13/16588800],
[[[1, 7], [2, 11], [3, 2], [4, 1]], 10969/19110297600],
[[[1, 7], [2, 11], [3, 2], [6, 1]], 5401/1592524800],
[[[1, 7], [2, 11], [4, 1], [5, 1]], 5329/5308416000],
[[[1, 7], [2, 11], [4, 1], [6, 2]], 80717/1911029760],
[[[1, 7], [2, 11], [4, 1], [8, 1]], 311/66355200],
[[[1, 7], [2, 11], [4, 1], [10, 1]], 253/21233664],
[[[1, 7], [2, 11], [4, 2], [6, 1]], 2639/39813120],
[[[1, 7], [2, 11], [5, 1], [6, 1]], 121/995328000],
[[[1, 7], [2, 11], [6, 1], [8, 1]], 1/9953280],
[[[1, 7], [2, 11], [6, 1], [10, 1]], 10621/1194393600],
[[[1, 7], [2, 13], [3, 1], [4, 1]], 5497/19110297600],
[[[1, 7], [2, 13], [3, 1], [6, 1]], 4781/4246732800],
[[[1, 7], [2, 13], [4, 1], [6, 1]], 49997/4777574400],
[[[1, 8], [2, 2], [3, 1], [5, 3]], 1/57600],
[[[1, 8], [2, 2], [3, 3], [4, 4]], 1/1327104],
[[[1, 8], [2, 2], [3, 3], [5, 2]], 13/345600],
[[[1, 8], [2, 2], [3, 3], [6, 4]], 11/7464960],
[[[1, 8], [2, 2], [3, 4], [4, 3]], 37/14929920],
[[[1, 8], [2, 2], [3, 4], [6, 3]], 113/14929920],
[[[1, 8], [2, 2], [3, 4], [9, 1]], 1/10368],
[[[1, 8], [2, 2], [3, 5], [4, 2]], 7/1492992],
[[[1, 8], [2, 2], [3, 5], [5, 1]], 7/414720],
[[[1, 8], [2, 2], [3, 5], [6, 2]], 4463/44789760],
[[[1, 8], [2, 2], [3, 5], [12, 1]], 1/276480],
[[[1, 8], [2, 2], [3, 6], [4, 1]], 8669/537477120],
[[[1, 8], [2, 2], [3, 6], [6, 1]], 8959/75582720],
[[[1, 8], [2, 2], [4, 1], [5, 3]], 1/92160],
[[[1, 8], [2, 2], [4, 3], [5, 2]], 1/576000],
[[[1, 8], [2, 2], [4, 3], [8, 2]], 1/737280],
[[[1, 8], [2, 2], [5, 3], [6, 1]], 1/6480000],
[[[1, 8], [2, 4], [3, 1], [4, 5]], 5/294912],
[[[1, 8], [2, 4], [3, 1], [6, 5]], 1/71663616],
[[[1, 8], [2, 4], [3, 2], [4, 4]], 359/13271040],
[[[1, 8], [2, 4], [3, 2], [5, 2]], 2437/82944000],
[[[1, 8], [2, 4], [3, 2], [6, 4]], 133/39813120],
[[[1, 8], [2, 4], [3, 3], [4, 3]], 37/995328],
[[[1, 8], [2, 4], [3, 3], [6, 3]], 9461/89579520],
[[[1, 8], [2, 4], [3, 4], [4, 2]], 1231/23887872],
[[[1, 8], [2, 4], [3, 4], [5, 1]], 13451/895795200],
[[[1, 8], [2, 4], [3, 4], [6, 2]], 79127/358318080],
[[[1, 8], [2, 4], [3, 5], [4, 1]], 1/41472],
[[[1, 8], [2, 4], [3, 5], [6, 1]], 34423/358318080],
[[[1, 8], [2, 4], [4, 2], [5, 2]], 107/1843200],
[[[1, 8], [2, 4], [4, 2], [6, 4]], 1/31850496],
[[[1, 8], [2, 4], [4, 2], [8, 2]], 53/1474560],
[[[1, 8], [2, 4], [4, 2], [10, 2]], 1/2457600],
[[[1, 8], [2, 4], [4, 3], [6, 3]], 1/14929920],
[[[1, 8], [2, 4], [4, 4], [5, 1]], 169/3686400],
[[[1, 8], [2, 4], [4, 4], [6, 2]], 17/39813120],
[[[1, 8], [2, 4], [4, 4], [8, 1]], 209/2211840],
[[[1, 8], [2, 4], [4, 4], [10, 1]], 17/11059200],
[[[1, 8], [2, 4], [4, 4], [12, 1]], 1/221184],
[[[1, 8], [2, 4], [5, 1], [10, 2]], 7/1152000],
[[[1, 8], [2, 4], [5, 2], [10, 1]], 1/230400],
[[[1, 8], [2, 6], [3, 1], [4, 4]], 2455/10616832],
[[[1, 8], [2, 6], [3, 1], [5, 2]], 31/2764800],
[[[1, 8], [2, 6], [3, 1], [6, 4]], 155/35831808],
[[[1, 8], [2, 6], [3, 1], [10, 2]], 1/2764800],
[[[1, 8], [2, 6], [3, 2], [4, 3]], 535/2654208],
[[[1, 8], [2, 6], [3, 2], [6, 3]], 847/9953280],
[[[1, 8], [2, 6], [3, 3], [4, 2]], 889/11943936],
[[[1, 8], [2, 6], [3, 3], [5, 1]], 19/1658880],
[[[1, 8], [2, 6], [3, 3], [6, 2]], 27503/179159040],
[[[1, 8], [2, 6], [3, 4], [4, 1]], 1481/89579520],
[[[1, 8], [2, 6], [3, 4], [6, 1]], 6157/179159040],
[[[1, 8], [2, 6], [4, 1], [5, 2]], 317/13824000],
[[[1, 8], [2, 6], [4, 1], [6, 4]], 5/11943936],
[[[1, 8], [2, 6], [4, 1], [8, 2]], 91/4423680],
[[[1, 8], [2, 6], [4, 1], [10, 2]], 1/460800],
[[[1, 8], [2, 6], [4, 2], [6, 3]], 91/15925248],
[[[1, 8], [2, 6], [4, 3], [5, 1]], 43/245760],
[[[1, 8], [2, 6], [4, 3], [6, 2]], 1003/53084160],
[[[1, 8], [2, 6], [4, 3], [8, 1]], 50503/132710400],
[[[1, 8], [2, 6], [4, 3], [10, 1]], 1511/26542080],
[[[1, 8], [2, 6], [4, 4], [6, 1]], 2977/31850496],
[[[1, 8], [2, 6], [5, 2], [6, 1]], 11/2764800],
[[[1, 8], [2, 6], [6, 1], [10, 2]], 1/5529600],
[[[1, 8], [2, 6], [6, 3], [10, 1]], 1/9953280],
[[[1, 8], [2, 8], [3, 1], [4, 3]], 101749/398131200],
[[[1, 8], [2, 8], [3, 1], [6, 3]], 1667/35831808],
[[[1, 8], [2, 8], [3, 2], [4, 2]], 749/7864320],
[[[1, 8], [2, 8], [3, 2], [5, 1]], 53/17694720],
[[[1, 8], [2, 8], [3, 2], [6, 2]], 128461/796262400],
[[[1, 8], [2, 8], [3, 2], [8, 1]], 1/3317760],
[[[1, 8], [2, 8], [3, 2], [10, 1]], 1/414720],
[[[1, 8], [2, 8], [3, 3], [4, 1]], 1453/119439360],
[[[1, 8], [2, 8], [3, 3], [6, 1]], 1667/35831808],
[[[1, 8], [2, 8], [4, 1], [6, 3]], 1453/119439360],
[[[1, 8], [2, 8], [4, 2], [5, 1]], 14689/176947200],
[[[1, 8], [2, 8], [4, 2], [6, 2]], 749/7864320],
[[[1, 8], [2, 8], [4, 2], [8, 1]], 13129/66355200],
[[[1, 8], [2, 8], [4, 2], [10, 1]], 14689/176947200],
[[[1, 8], [2, 8], [4, 3], [6, 1]], 101749/398131200],
[[[1, 8], [2, 8], [5, 1], [6, 2]], 1/414720],
[[[1, 8], [2, 8], [5, 1], [8, 1]], 1/921600],
[[[1, 8], [2, 8], [5, 1], [10, 1]], 41/1105920],
[[[1, 8], [2, 8], [6, 2], [8, 1]], 1/3317760],
[[[1, 8], [2, 8], [6, 2], [10, 1]], 53/17694720],
[[[1, 8], [2, 8], [8, 1], [10, 1]], 1/921600],
[[[1, 8], [2, 10], [3, 1], [4, 2]], 7909/159252480],
[[[1, 8], [2, 10], [3, 1], [5, 1]], 467/796262400],
[[[1, 8], [2, 10], [3, 1], [6, 2]], 52357/1433272320],
[[[1, 8], [2, 10], [3, 1], [8, 1]], 23/74649600],
[[[1, 8], [2, 10], [3, 1], [10, 1]], 161/99532800],
[[[1, 8], [2, 10], [3, 2], [4, 1]], 123257/19110297600],
[[[1, 8], [2, 10], [3, 2], [6, 1]], 18869/955514880],
[[[1, 8], [2, 10], [4, 1], [5, 1]], 11459/1769472000],
[[[1, 8], [2, 10], [4, 1], [6, 2]], 7583/212336640],
[[[1, 8], [2, 10], [4, 1], [8, 1]], 7283/398131200],
[[[1, 8], [2, 10], [4, 1], [10, 1]], 8503/530841600],
[[[1, 8], [2, 10], [4, 2], [6, 1]], 73519/637009920],
[[[1, 8], [2, 10], [5, 1], [6, 1]], 79/66355200],
[[[1, 8], [2, 10], [6, 1], [8, 1]], 1/1658880],
[[[1, 8], [2, 10], [6, 1], [10, 1]], 1583/265420800],
[[[1, 8], [2, 12], [3, 1], [4, 1]], 6781/3185049600],
[[[1, 8], [2, 12], [3, 1], [6, 1]], 113861/28665446400],
[[[1, 8], [2, 12], [4, 1], [6, 1]], 78013/4777574400],
[[[1, 8], [3, 2], [4, 2], [5, 2]], 7/6912000],
[[[1, 8], [3, 2], [5, 1], [15, 1]], 1/259200],
[[[1, 8], [3, 3], [6, 2], [9, 1]], 1/1866240],
[[[1, 8], [3, 3], [9, 1], [12, 1]], 1/311040],
[[[1, 8], [3, 4], [4, 2], [5, 1]], 41/74649600],
[[[1, 9], [2, 1], [3, 1], [5, 3]], 1/192000],
[[[1, 9], [2, 1], [3, 3], [5, 2]], 41/2073600],
[[[1, 9], [2, 1], [3, 4], [4, 3]], 41/119439360],
[[[1, 9], [2, 1], [3, 4], [6, 3]], 1/4976640],
[[[1, 9], [2, 1], [3, 4], [9, 1]], 1/51840],
[[[1, 9], [2, 1], [3, 5], [4, 2]], 23/44789760],
[[[1, 9], [2, 1], [3, 5], [5, 1]], 73/7464960],
[[[1, 9], [2, 1], [3, 5], [6, 2]], 1/4976640],
[[[1, 9], [2, 1], [3, 5], [12, 1]], 1/829440],
[[[1, 9], [2, 1], [3, 6], [4, 1]], 5/1327104],
[[[1, 9], [2, 1], [3, 6], [6, 1]], 697/33592320],
[[[1, 9], [2, 1], [4, 1], [5, 3]], 1/1280000],
[[[1, 9], [2, 1], [4, 3], [5, 2]], 1/9216000],
[[[1, 9], [2, 3], [3, 1], [4, 5]], 5/1769472],
[[[1, 9], [2, 3], [3, 2], [4, 4]], 59/17694720],
[[[1, 9], [2, 3], [3, 2], [5, 2]], 1133/27648000],
[[[1, 9], [2, 3], [3, 2], [6, 4]], 23/358318080],
[[[1, 9], [2, 3], [3, 3], [4, 3]], 59/4976640],
[[[1, 9], [2, 3], [3, 3], [6, 3]], 217/35831808],
[[[1, 9], [2, 3], [3, 4], [4, 2]], 20297/716636160],
[[[1, 9], [2, 3], [3, 4], [5, 1]], 1151/33177600],
[[[1, 9], [2, 3], [3, 4], [6, 2]], 139739/3224862720],
[[[1, 9], [2, 3], [3, 5], [4, 1]], 319/11943936],
[[[1, 9], [2, 3], [3, 5], [6, 1]], 13231/214990848],
[[[1, 9], [2, 3], [4, 2], [5, 2]], 937/55296000],
[[[1, 9], [2, 3], [4, 2], [8, 2]], 7/4423680],
[[[1, 9], [2, 3], [4, 4], [5, 1]], 17/14745600],
[[[1, 9], [2, 3], [4, 4], [6, 2]], 1/39813120],
[[[1, 9], [2, 3], [4, 4], [8, 1]], 7/1105920],
[[[1, 9], [2, 3], [4, 4], [10, 1]], 1/11059200],
[[[1, 9], [2, 3], [5, 1], [10, 2]], 1/3456000],
[[[1, 9], [2, 5], [3, 1], [4, 4]], 1159/13271040],
[[[1, 9], [2, 5], [3, 1], [5, 2]], 271/13824000],
[[[1, 9], [2, 5], [3, 1], [6, 4]], 47/179159040],
[[[1, 9], [2, 5], [3, 2], [4, 3]], 373/3317760],
[[[1, 9], [2, 5], [3, 2], [6, 3]], 497/35831808],
[[[1, 9], [2, 5], [3, 3], [4, 2]], 31/294912],
[[[1, 9], [2, 5], [3, 3], [5, 1]], 2083/74649600],
[[[1, 9], [2, 5], [3, 3], [6, 2]], 589/11943936],
[[[1, 9], [2, 5], [3, 4], [4, 1]], 34999/716636160],
[[[1, 9], [2, 5], [3, 4], [6, 1]], 4307/100776960],
[[[1, 9], [2, 5], [4, 1], [5, 2]], 1499/55296000],
[[[1, 9], [2, 5], [4, 1], [6, 4]], 1/95551488],
[[[1, 9], [2, 5], [4, 1], [8, 2]], 1/245760],
[[[1, 9], [2, 5], [4, 1], [10, 2]], 1/7372800],
[[[1, 9], [2, 5], [4, 2], [6, 3]], 31/79626240],
[[[1, 9], [2, 5], [4, 3], [5, 1]], 79/1228800],
[[[1, 9], [2, 5], [4, 3], [6, 2]], 251/106168320],
[[[1, 9], [2, 5], [4, 3], [8, 1]], 391/4423680],
[[[1, 9], [2, 5], [4, 3], [10, 1]], 689/88473600],
[[[1, 9], [2, 5], [4, 4], [6, 1]], 37/9953280],
[[[1, 9], [2, 5], [5, 2], [6, 1]], 23/10368000],
[[[1, 9], [2, 7], [3, 1], [4, 3]], 41099/159252480],
[[[1, 9], [2, 7], [3, 1], [6, 3]], 40403/2866544640],
[[[1, 9], [2, 7], [3, 2], [4, 2]], 1583/11796480],
[[[1, 9], [2, 7], [3, 2], [5, 1]], 599/49766400],
[[[1, 9], [2, 7], [3, 2], [6, 2]], 650149/7166361600],
[[[1, 9], [2, 7], [3, 2], [8, 1]], 1/9953280],
[[[1, 9], [2, 7], [3, 2], [10, 1]], 1/1382400],
[[[1, 9], [2, 7], [3, 3], [4, 1]], 3751/119439360],
[[[1, 9], [2, 7], [3, 3], [6, 1]], 2561/53084160],
[[[1, 9], [2, 7], [4, 1], [6, 3]], 109/47775744],
[[[1, 9], [2, 7], [4, 2], [5, 1]], 7061/88473600],
[[[1, 9], [2, 7], [4, 2], [6, 2]], 41903/1911029760],
[[[1, 9], [2, 7], [4, 2], [8, 1]], 51437/398131200],
[[[1, 9], [2, 7], [4, 2], [10, 1]], 16319/530841600],
[[[1, 9], [2, 7], [4, 3], [6, 1]], 10981/106168320],
[[[1, 9], [2, 7], [5, 1], [6, 2]], 1/12441600],
[[[1, 9], [2, 7], [5, 1], [8, 1]], 1/2764800],
[[[1, 9], [2, 7], [5, 1], [10, 1]], 277/12441600],
[[[1, 9], [2, 7], [6, 2], [8, 1]], 1/9953280],
[[[1, 9], [2, 7], [6, 2], [10, 1]], 7/26542080],
[[[1, 9], [2, 7], [8, 1], [10, 1]], 1/2764800],
[[[1, 9], [2, 9], [3, 1], [4, 2]], 138551/1194393600],
[[[1, 9], [2, 9], [3, 1], [5, 1]], 2201/796262400],
[[[1, 9], [2, 9], [3, 1], [6, 2]], 214033/4777574400],
[[[1, 9], [2, 9], [3, 1], [8, 1]], 1/995328],
[[[1, 9], [2, 9], [3, 1], [10, 1]], 299/99532800],
[[[1, 9], [2, 9], [3, 2], [4, 1]], 31109/1274019840],
[[[1, 9], [2, 9], [3, 2], [6, 1]], 214033/4777574400],
[[[1, 9], [2, 9], [4, 1], [5, 1]], 17639/1061683200],
[[[1, 9], [2, 9], [4, 1], [6, 2]], 31109/1274019840],
[[[1, 9], [2, 9], [4, 1], [8, 1]], 11989/398131200],
[[[1, 9], [2, 9], [4, 1], [10, 1]], 17639/1061683200],
[[[1, 9], [2, 9], [4, 2], [6, 1]], 138551/1194393600],
[[[1, 9], [2, 9], [5, 1], [6, 1]], 299/99532800],
[[[1, 9], [2, 9], [6, 1], [8, 1]], 1/995328],
[[[1, 9], [2, 9], [6, 1], [10, 1]], 2201/796262400],
[[[1, 9], [2, 11], [3, 1], [4, 1]], 593/59719680],
[[[1, 9], [2, 11], [3, 1], [6, 1]], 405877/38220595200],
[[[1, 9], [2, 11], [4, 1], [6, 1]], 84953/3822059520],
[[[1, 10], [2, 2], [3, 2], [4, 4]], 7/17694720],
[[[1, 10], [2, 2], [3, 2], [5, 2]], 21/1024000],
[[[1, 10], [2, 2], [3, 3], [4, 3]], 257/179159040],
[[[1, 10], [2, 2], [3, 3], [6, 3]], 13/119439360],
[[[1, 10], [2, 2], [3, 4], [4, 2]], 1271/238878720],
[[[1, 10], [2, 2], [3, 4], [5, 1]], 2387/99532800],
[[[1, 10], [2, 2], [3, 4], [6, 2]], 917/358318080],
[[[1, 10], [2, 2], [3, 5], [4, 1]], 227/22394880],
[[[1, 10], [2, 2], [3, 5], [6, 1]], 674671/48372940800],
[[[1, 10], [2, 2], [4, 2], [5, 2]], 23/18432000],
[[[1, 10], [2, 2], [4, 4], [5, 1]], 1/14745600],
[[[1, 10], [2, 2], [4, 4], [8, 1]], 1/2949120],
[[[1, 10], [2, 4], [3, 1], [4, 4]], 55/3538944],
[[[1, 10], [2, 4], [3, 1], [5, 2]], 73/3888000],
[[[1, 10], [2, 4], [3, 2], [4, 3]], 1849/53084160],
[[[1, 10], [2, 4], [3, 2], [6, 3]], 1427/1791590400],
[[[1, 10], [2, 4], [3, 3], [4, 2]], 8243/119439360],
[[[1, 10], [2, 4], [3, 3], [5, 1]], 14039/335923200],
[[[1, 10], [2, 4], [3, 3], [6, 2]], 517/89579520],
[[[1, 10], [2, 4], [3, 4], [4, 1]], 3253/59719680],
[[[1, 10], [2, 4], [3, 4], [6, 1]], 14087/537477120],
[[[1, 10], [2, 4], [4, 1], [5, 2]], 17/1152000],
[[[1, 10], [2, 4], [4, 1], [8, 2]], 1/4423680],
[[[1, 10], [2, 4], [4, 3], [5, 1]], 19/1769472],
[[[1, 10], [2, 4], [4, 3], [6, 2]], 25/191102976],
[[[1, 10], [2, 4], [4, 3], [8, 1]], 277/26542080],
[[[1, 10], [2, 4], [4, 3], [10, 1]], 5/10616832],
[[[1, 10], [2, 4], [4, 4], [6, 1]], 1/4423680],
[[[1, 10], [2, 4], [5, 2], [6, 1]], 7/13824000],
[[[1, 10], [2, 6], [3, 1], [4, 3]], 1601/13271040],
[[[1, 10], [2, 6], [3, 1], [6, 3]], 13/10616832],
[[[1, 10], [2, 6], [3, 2], [4, 2]], 7297/63700992],
[[[1, 10], [2, 6], [3, 2], [5, 1]], 347/14745600],
[[[1, 10], [2, 6], [3, 2], [6, 2]], 605231/28665446400],
[[[1, 10], [2, 6], [3, 3], [4, 1]], 6505/107495424],
[[[1, 10], [2, 6], [3, 3], [6, 1]], 2651/79626240],
[[[1, 10], [2, 6], [4, 1], [6, 3]], 31/238878720],
[[[1, 10], [2, 6], [4, 2], [5, 1]], 2191/53084160],
[[[1, 10], [2, 6], [4, 2], [6, 2]], 1427/637009920],
[[[1, 10], [2, 6], [4, 2], [8, 1]], 479/13271040],
[[[1, 10], [2, 6], [4, 2], [10, 1]], 863/176947200],
[[[1, 10], [2, 6], [4, 3], [6, 1]], 7159/477757440],
[[[1, 10], [2, 6], [5, 1], [10, 1]], 1/165888],
[[[1, 10], [2, 6], [6, 2], [8, 1]], 1/149299200],
[[[1, 10], [2, 6], [6, 2], [10, 1]], 1/159252480],
[[[1, 10], [2, 6], [8, 1], [10, 1]], 1/41472000],
[[[1, 10], [2, 8], [3, 1], [4, 2]], 73519/637009920],
[[[1, 10], [2, 8], [3, 1], [5, 1]], 1583/265420800],
[[[1, 10], [2, 8], [3, 1], [6, 2]], 18869/955514880],
[[[1, 10], [2, 8], [3, 1], [8, 1]], 1/1658880],
[[[1, 10], [2, 8], [3, 1], [10, 1]], 79/66355200],
[[[1, 10], [2, 8], [3, 2], [4, 1]], 7583/212336640],
[[[1, 10], [2, 8], [3, 2], [6, 1]], 52357/1433272320],
[[[1, 10], [2, 8], [4, 1], [5, 1]], 8503/530841600],
[[[1, 10], [2, 8], [4, 1], [6, 2]], 123257/19110297600],
[[[1, 10], [2, 8], [4, 1], [8, 1]], 7283/398131200],
[[[1, 10], [2, 8], [4, 1], [10, 1]], 11459/1769472000],
[[[1, 10], [2, 8], [4, 2], [6, 1]], 7909/159252480],
[[[1, 10], [2, 8], [5, 1], [6, 1]], 161/99532800],
[[[1, 10], [2, 8], [6, 1], [8, 1]], 23/74649600],
[[[1, 10], [2, 8], [6, 1], [10, 1]], 467/796262400],
[[[1, 10], [2, 10], [3, 1], [4, 1]], 213397/9555148800],
[[[1, 10], [2, 10], [3, 1], [6, 1]], 306949/19110297600],
[[[1, 10], [2, 10], [4, 1], [6, 1]], 213397/9555148800],
[[[1, 10], [3, 1], [4, 2], [5, 2]], 1/20736000],
[[[1, 10], [3, 3], [4, 2], [5, 1]], 23/111974400],
[[[1, 11], [2, 1], [3, 2], [5, 2]], 107/27648000],
[[[1, 11], [2, 1], [3, 3], [4, 3]], 23/179159040],
[[[1, 11], [2, 1], [3, 4], [4, 2]], 491/2149908480],
[[[1, 11], [2, 1], [3, 4], [5, 1]], 1913/298598400],
[[[1, 11], [2, 1], [3, 5], [4, 1]], 679/537477120],
[[[1, 11], [2, 1], [3, 5], [6, 1]], 15751/16124313600],
[[[1, 11], [2, 1], [4, 2], [5, 2]], 1/55296000],
[[[1, 11], [2, 3], [3, 1], [4, 4]], 1/2654208],
[[[1, 11], [2, 3], [3, 1], [5, 2]], 353/41472000],
[[[1, 11], [2, 3], [3, 2], [4, 3]], 857/159252480],
[[[1, 11], [2, 3], [3, 3], [4, 2]], 10663/537477120],
[[[1, 11], [2, 3], [3, 3], [5, 1]], 6169/223948800],
[[[1, 11], [2, 3], [3, 3], [6, 2]], 397/2687385600],
[[[1, 11], [2, 3], [3, 4], [4, 1]], 3143/119439360],
[[[1, 11], [2, 3], [3, 4], [6, 1]], 769/100776960],
[[[1, 11], [2, 3], [4, 1], [5, 2]], 11/3072000],
[[[1, 11], [2, 3], [4, 3], [5, 1]], 37/44236800],
[[[1, 11], [2, 3], [4, 3], [8, 1]], 1/1966080],
[[[1, 11], [2, 3], [5, 2], [6, 1]], 1/20736000],
[[[1, 11], [2, 5], [3, 1], [4, 3]], 4993/159252480],
[[[1, 11], [2, 5], [3, 1], [6, 3]], 79/2866544640],
[[[1, 11], [2, 5], [3, 2], [4, 2]], 463/7077888],
[[[1, 11], [2, 5], [3, 2], [5, 1]], 15931/597196800],
[[[1, 11], [2, 5], [3, 2], [6, 2]], 10747/4777574400],
[[[1, 11], [2, 5], [3, 3], [4, 1]], 32297/537477120],
[[[1, 11], [2, 5], [3, 3], [6, 1]], 1076879/64497254400],
[[[1, 11], [2, 5], [4, 2], [5, 1]], 1379/88473600],
[[[1, 11], [2, 5], [4, 2], [6, 2]], 47/637009920],
[[[1, 11], [2, 5], [4, 2], [8, 1]], 13/2949120],
[[[1, 11], [2, 5], [4, 2], [10, 1]], 47/176947200],
[[[1, 11], [2, 5], [4, 3], [6, 1]], 289/318504960],
[[[1, 11], [2, 5], [5, 1], [10, 1]], 1/1382400],
[[[1, 11], [2, 7], [3, 1], [4, 2]], 2639/39813120],
[[[1, 11], [2, 7], [3, 1], [5, 1]], 10621/1194393600],
[[[1, 11], [2, 7], [3, 1], [6, 2]], 5401/1592524800],
[[[1, 11], [2, 7], [3, 1], [8, 1]], 1/9953280],
[[[1, 11], [2, 7], [3, 1], [10, 1]], 121/995328000],
[[[1, 11], [2, 7], [3, 2], [4, 1]], 80717/1911029760],
[[[1, 11], [2, 7], [3, 2], [6, 1]], 8077/477757440],
[[[1, 11], [2, 7], [4, 1], [5, 1]], 253/21233664],
[[[1, 11], [2, 7], [4, 1], [6, 2]], 10969/19110297600],
[[[1, 11], [2, 7], [4, 1], [8, 1]], 311/66355200],
[[[1, 11], [2, 7], [4, 1], [10, 1]], 5329/5308416000],
[[[1, 11], [2, 7], [4, 2], [6, 1]], 1463/159252480],
[[[1, 11], [2, 7], [5, 1], [6, 1]], 13/16588800],
[[[1, 11], [2, 7], [6, 1], [8, 1]], 1/49766400],
[[[1, 11], [2, 7], [6, 1], [10, 1]], 139/3981312000],
[[[1, 11], [2, 9], [3, 1], [4, 1]], 84953/3822059520],
[[[1, 11], [2, 9], [3, 1], [6, 1]], 405877/38220595200],
[[[1, 11], [2, 9], [4, 1], [6, 1]], 593/59719680],
[[[1, 12], [2, 2], [3, 1], [4, 4]], 1/53084160],
[[[1, 12], [2, 2], [3, 1], [5, 2]], 1/552960],
[[[1, 12], [2, 2], [3, 2], [4, 3]], 911/4777574400],
[[[1, 12], [2, 2], [3, 3], [4, 2]], 391/179159040],
[[[1, 12], [2, 2], [3, 3], [5, 1]], 629/74649600],
[[[1, 12], [2, 2], [3, 3], [6, 2]], 7/1791590400],
[[[1, 12], [2, 2], [3, 4], [4, 1]], 193/33592320],
[[[1, 12], [2, 2], [3, 4], [6, 1]], 24353/24186470400],
[[[1, 12], [2, 2], [4, 1], [5, 2]], 1/2764800],
[[[1, 12], [2, 2], [4, 3], [5, 1]], 31/1327104000],
[[[1, 12], [2, 2], [5, 2], [6, 1]], 1/622080000],
[[[1, 12], [2, 4], [3, 1], [4, 3]], 347/79626240],
[[[1, 12], [2, 4], [3, 2], [4, 2]], 19589/955514880],
[[[1, 12], [2, 4], [3, 2], [5, 1]], 285973/17915904000],
[[[1, 12], [2, 4], [3, 2], [6, 2]], 1891/14332723200],
[[[1, 12], [2, 4], [3, 3], [4, 1]], 10793/358318080],
[[[1, 12], [2, 4], [3, 3], [6, 1]], 6731/1343692800],
[[[1, 12], [2, 4], [4, 2], [5, 1]], 889/265420800],
[[[1, 12], [2, 4], [4, 2], [8, 1]], 1/5308416],
[[[1, 12], [2, 4], [5, 1], [10, 1]], 1/33177600],
[[[1, 12], [2, 6], [3, 1], [4, 2]], 27047/955514880],
[[[1, 12], [2, 6], [3, 1], [5, 1]], 3307/398131200],
[[[1, 12], [2, 6], [3, 1], [6, 2]], 3001/14332723200],
[[[1, 12], [2, 6], [3, 2], [4, 1]], 1006903/28665446400],
[[[1, 12], [2, 6], [3, 2], [6, 1]], 43409/7166361600],
[[[1, 12], [2, 6], [4, 1], [5, 1]], 56423/7962624000],
[[[1, 12], [2, 6], [4, 1], [6, 2]], 89/6370099200],
[[[1, 12], [2, 6], [4, 1], [8, 1]], 67/132710400],
[[[1, 12], [2, 6], [4, 1], [10, 1]], 89/1769472000],
[[[1, 12], [2, 6], [4, 2], [6, 1]], 2177/3185049600],
[[[1, 12], [2, 6], [5, 1], [6, 1]], 7/24883200],
[[[1, 12], [2, 8], [3, 1], [4, 1]], 78013/4777574400],
[[[1, 12], [2, 8], [3, 1], [6, 1]], 113861/28665446400],
[[[1, 12], [2, 8], [4, 1], [6, 1]], 6781/3185049600],
[[[1, 12], [3, 2], [4, 2], [5, 1]], 41/2985984000],
[[[1, 13], [2, 1], [3, 1], [5, 2]], 7/41472000],
[[[1, 13], [2, 1], [3, 2], [4, 3]], 41/4777574400],
[[[1, 13], [2, 1], [3, 3], [4, 2]], 353/10749542400],
[[[1, 13], [2, 1], [3, 3], [5, 1]], 259/223948800],
[[[1, 13], [2, 1], [3, 4], [4, 1]], 10061/21499084800],
[[[1, 13], [2, 1], [3, 4], [6, 1]], 361/8062156800],
[[[1, 13], [2, 1], [4, 1], [5, 2]], 7/552960000],
[[[1, 13], [2, 1], [4, 3], [5, 1]], 1/1327104000],
[[[1, 13], [2, 3], [3, 1], [4, 3]], 461/1592524800],
[[[1, 13], [2, 3], [3, 2], [4, 2]], 85787/28665446400],
[[[1, 13], [2, 3], [3, 2], [5, 1]], 473/93312000],
[[[1, 13], [2, 3], [3, 2], [6, 2]], 19/8599633920],
[[[1, 13], [2, 3], [3, 3], [4, 1]], 2779/358318080],
[[[1, 13], [2, 3], [3, 3], [6, 1]], 20387/25798901760],
[[[1, 13], [2, 3], [4, 2], [5, 1]], 2587/7962624000],
[[[1, 13], [2, 5], [3, 1], [4, 2]], 223/26542080],
[[[1, 13], [2, 5], [3, 1], [5, 1]], 27163/5971968000],
[[[1, 13], [2, 5], [3, 1], [6, 2]], 1/199065600],
[[[1, 13], [2, 5], [3, 2], [4, 1]], 490549/28665446400],
[[[1, 13], [2, 5], [3, 2], [6, 1]], 11971/7166361600],
[[[1, 13], [2, 5], [4, 1], [5, 1]], 20429/7962624000],
[[[1, 13], [2, 5], [4, 1], [8, 1]], 1/53084160],
[[[1, 13], [2, 5], [4, 2], [6, 1]], 1/49766400],
[[[1, 13], [2, 5], [5, 1], [6, 1]], 83/1492992000],
[[[1, 13], [2, 7], [3, 1], [4, 1]], 49997/4777574400],
[[[1, 13], [2, 7], [3, 1], [6, 1]], 4781/4246732800],
[[[1, 13], [2, 7], [4, 1], [6, 1]], 5497/19110297600],
[[[1, 14], [2, 2], [3, 1], [4, 3]], 17/2388787200],
[[[1, 14], [2, 2], [3, 2], [4, 2]], 1517/9555148800],
[[[1, 14], [2, 2], [3, 2], [5, 1]], 373/442368000],
[[[1, 14], [2, 2], [3, 2], [6, 2]], 1/28665446400],
[[[1, 14], [2, 2], [3, 3], [4, 1]], 10249/10749542400],
[[[1, 14], [2, 2], [3, 3], [6, 1]], 11569/193491763200],
[[[1, 14], [2, 2], [4, 2], [5, 1]], 11/884736000],
[[[1, 14], [2, 4], [3, 1], [4, 2]], 13733/9555148800],
[[[1, 14], [2, 4], [3, 1], [5, 1]], 26141/17915904000],
[[[1, 14], [2, 4], [3, 1], [6, 2]], 1/3583180800],
[[[1, 14], [2, 4], [3, 2], [4, 1]], 30053/6370099200],
[[[1, 14], [2, 4], [3, 2], [6, 1]], 4181/14332723200],
[[[1, 14], [2, 4], [4, 1], [5, 1]], 311/589824000],
[[[1, 14], [2, 4], [4, 2], [6, 1]], 1/1592524800],
[[[1, 14], [2, 4], [5, 1], [6, 1]], 1/165888000],
[[[1, 14], [2, 6], [3, 1], [4, 1]], 13679/2866544640],
[[[1, 14], [2, 6], [3, 1], [6, 1]], 7781/28665446400],
[[[1, 14], [2, 6], [4, 1], [6, 1]], 23/597196800],
[[[1, 14], [3, 1], [4, 2], [5, 1]], 1/2985984000],
[[[1, 15], [2, 1], [3, 1], [4, 3]], 1/4777574400],
[[[1, 15], [2, 1], [3, 2], [4, 2]], 49/28665446400],
[[[1, 15], [2, 1], [3, 2], [5, 1]], 403/5971968000],
[[[1, 15], [2, 1], [3, 3], [4, 1]], 149/3583180800],
[[[1, 15], [2, 1], [3, 3], [6, 1]], 73/42998169600],
[[[1, 15], [2, 1], [4, 2], [5, 1]], 1/7962624000],
[[[1, 15], [2, 3], [3, 1], [4, 2]], 173/1433272320],
[[[1, 15], [2, 3], [3, 1], [5, 1]], 1087/3981312000],
[[[1, 15], [2, 3], [3, 1], [6, 2]], 1/161243136000],
[[[1, 15], [2, 3], [3, 2], [4, 1]], 13637/19110297600],
[[[1, 15], [2, 3], [3, 2], [6, 1]], 1231/42998169600],
[[[1, 15], [2, 3], [4, 1], [5, 1]], 317/5308416000],
[[[1, 15], [2, 3], [5, 1], [6, 1]], 1/2985984000],
[[[1, 15], [2, 5], [3, 1], [4, 1]], 78121/57330892800],
[[[1, 15], [2, 5], [3, 1], [6, 1]], 248161/5159780352000],
[[[1, 15], [2, 5], [4, 1], [6, 1]], 19/4777574400],
[[[1, 16], [2, 2], [3, 1], [4, 2]], 1/238878720],
[[[1, 16], [2, 2], [3, 1], [5, 1]], 23/796262400],
[[[1, 16], [2, 2], [3, 2], [4, 1]], 3079/57330892800],
[[[1, 16], [2, 2], [3, 2], [6, 1]], 2809/1934917632000],
[[[1, 16], [2, 2], [4, 1], [5, 1]], 11/3185049600],
[[[1, 16], [2, 2], [5, 1], [6, 1]], 1/134369280000],
[[[1, 16], [2, 4], [3, 1], [4, 1]], 2243/9555148800],
[[[1, 16], [2, 4], [3, 1], [6, 1]], 2341/429981696000],
[[[1, 16], [2, 4], [4, 1], [6, 1]], 23/107495424000],
[[[1, 17], [2, 1], [3, 1], [4, 2]], 1/26873856000],
[[[1, 17], [2, 1], [3, 1], [5, 1]], 19/11943936000],
[[[1, 17], [2, 1], [3, 2], [4, 1]], 1339/859963392000],
[[[1, 17], [2, 1], [3, 2], [6, 1]], 19/644972544000],
[[[1, 17], [2, 1], [4, 1], [5, 1]], 19/238878720000],
[[[1, 17], [2, 3], [3, 1], [4, 1]], 7/298598400],
[[[1, 17], [2, 3], [3, 1], [6, 1]], 47/128994508800],
[[[1, 17], [2, 3], [4, 1], [6, 1]], 1/214990848000],
[[[1, 18], [2, 2], [3, 1], [4, 1]], 533/429981696000],
[[[1, 18], [2, 2], [3, 1], [6, 1]], 203/15479341056000],
[[[1, 19], [2, 1], [3, 1], [4, 1]], 23/859963392000],
[[[1, 19], [2, 1], [3, 1], [6, 1]], 1/5159780352000],
[[[2, 2], [3, 2], [6, 3], [18, 2]], 1/46656],
[[[2, 2], [4, 1], [8, 1], [24, 2]], 1/1152],
[[[2, 2], [4, 1], [8, 1], [40, 1]], 1/320],
[[[2, 2], [4, 1], [8, 3], [24, 1]], 1/1152],
[[[2, 2], [4, 2], [6, 1], [12, 4]], 1/15552],
[[[2, 2], [4, 2], [6, 1], [20, 2]], 1/1200],
[[[2, 2], [4, 4], [6, 1], [12, 3]], 1/7776],
[[[2, 2], [4, 6], [6, 1], [12, 2]], 7/103680],
[[[2, 2], [4, 6], [6, 1], [20, 1]], 1/86400],
[[[2, 2], [4, 8], [6, 1], [12, 1]], 1/311040],
[[[2, 2], [6, 3], [10, 1], [18, 2]], 1/12960],
[[[2, 2], [6, 3], [10, 2], [30, 1]], 1/3600],
[[[2, 2], [6, 3], [12, 1], [18, 2]], 1/7776],
[[[2, 2], [6, 5], [10, 1], [30, 1]], 1/12960],
[[[2, 4], [3, 2], [6, 2], [18, 2]], 1/46656],
[[[2, 4], [3, 2], [6, 5], [18, 1]], 1/46656],
[[[2, 4], [3, 4], [4, 2], [6, 4]], 1/995328],
[[[2, 4], [4, 2], [6, 2], [10, 3]], 1/432000],
[[[2, 4], [4, 2], [6, 4], [10, 2]], 1/1036800],
[[[2, 4], [4, 2], [6, 6], [10, 1]], 1/5598720],
[[[2, 4], [4, 2], [12, 2], [20, 1]], 1/69120],
[[[2, 4], [4, 4], [12, 1], [20, 1]], 1/69120],
[[[2, 4], [6, 2], [10, 1], [18, 2]], 1/6480],
[[[2, 4], [6, 2], [10, 2], [30, 1]], 1/1800],
[[[2, 4], [6, 2], [12, 1], [18, 2]], 1/7776],
[[[2, 4], [6, 4], [10, 1], [30, 1]], 1/4320],
[[[2, 4], [6, 5], [10, 1], [18, 1]], 1/12960],
[[[2, 4], [6, 5], [12, 1], [18, 1]], 1/7776],
[[[2, 6], [3, 2], [6, 1], [18, 2]], 1/1866240],
[[[2, 6], [3, 2], [6, 4], [18, 1]], 1/46656],
[[[2, 6], [3, 2], [6, 5], [10, 1]], 1/518400],
[[[2, 6], [4, 2], [6, 1], [10, 3]], 1/432000],
[[[2, 6], [4, 2], [6, 3], [10, 2]], 1/518400],
[[[2, 6], [4, 2], [6, 5], [10, 1]], 1/1866240],
[[[2, 6], [6, 1], [12, 1], [18, 2]], 1/311040],
[[[2, 6], [6, 3], [10, 1], [30, 1]], 1/6400],
[[[2, 6], [6, 4], [10, 1], [18, 1]], 1/6480],
[[[2, 6], [6, 4], [12, 1], [18, 1]], 1/7776],
[[[2, 6], [6, 5], [10, 1], [12, 1]], 1/86400],
[[[2, 8], [3, 2], [6, 3], [18, 1]], 1/1866240],
[[[2, 8], [4, 2], [6, 2], [10, 2]], 7/6912000],
[[[2, 8], [4, 2], [6, 4], [10, 1]], 41/74649600],
[[[2, 8], [6, 2], [10, 1], [30, 1]], 1/259200],
[[[2, 8], [6, 3], [12, 1], [18, 1]], 1/311040],
[[[2, 10], [4, 2], [6, 1], [10, 2]], 1/20736000],
[[[2, 10], [4, 2], [6, 3], [10, 1]], 23/111974400],
[[[2, 12], [4, 2], [6, 2], [10, 1]], 41/2985984000],
[[[2, 14], [4, 2], [6, 1], [10, 1]], 1/2985984000],
[[[1, 1], [2, 1], [3, 1], [6, 4], [18, 2]], 1/15552],
[[[1, 1], [2, 1], [3, 1], [8, 1], [24, 2]], 1/432],
[[[1, 1], [2, 1], [3, 1], [8, 1], [40, 1]], 1/120],
[[[1, 1], [2, 1], [3, 1], [8, 3], [24, 1]], 1/432],
[[[1, 1], [2, 1], [3, 2], [6, 3], [9, 2]], 1/15552],
[[[1, 1], [2, 1], [3, 3], [6, 2], [18, 2]], 1/15552],
[[[1, 1], [2, 1], [3, 4], [6, 1], [9, 2]], 1/15552],
[[[1, 1], [2, 1], [4, 1], [8, 1], [24, 2]], 1/576],
[[[1, 1], [2, 1], [4, 1], [8, 1], [40, 1]], 1/160],
[[[1, 1], [2, 1], [4, 1], [8, 3], [16, 1]], 1/128],
[[[1, 1], [2, 1], [4, 1], [8, 3], [24, 1]], 7/576],
[[[1, 1], [2, 1], [4, 3], [12, 2], [20, 1]], 1/960],
[[[1, 1], [2, 1], [4, 5], [8, 1], [12, 2]], 1/9216],
[[[1, 1], [2, 1], [4, 5], [8, 1], [20, 1]], 1/2560],
[[[1, 1], [2, 1], [4, 5], [12, 1], [20, 1]], 1/640],
[[[1, 1], [2, 1], [4, 7], [8, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 1], [6, 1], [8, 1], [24, 2]], 1/432],
[[[1, 1], [2, 1], [6, 1], [8, 1], [40, 1]], 1/120],
[[[1, 1], [2, 1], [6, 1], [8, 3], [24, 1]], 1/432],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 7]], 1/6718464],
[[[1, 1], [2, 3], [3, 1], [6, 3], [18, 2]], 1/3888],
[[[1, 1], [2, 3], [3, 1], [6, 6], [18, 1]], 1/7776],
[[[1, 1], [2, 3], [3, 2], [6, 2], [9, 2]], 1/7776],
[[[1, 1], [2, 3], [3, 2], [6, 2], [18, 2]], 1/15552],
[[[1, 1], [2, 3], [3, 3], [6, 4], [18, 1]], 1/7776],
[[[1, 1], [2, 3], [3, 3], [6, 5], [8, 1]], 1/31104],
[[[1, 1], [2, 3], [3, 5], [4, 2], [6, 3]], 1/746496],
[[[1, 1], [2, 3], [4, 1], [6, 3], [18, 2]], 1/20736],
[[[1, 1], [2, 3], [4, 2], [8, 2], [16, 1]], 1/512],
[[[1, 1], [2, 3], [4, 2], [8, 2], [24, 1]], 1/384],
[[[1, 1], [2, 3], [4, 2], [12, 2], [20, 1]], 1/5760],
[[[1, 1], [2, 3], [4, 3], [6, 1], [12, 3]], 1/2592],
[[[1, 1], [2, 3], [4, 4], [12, 1], [20, 1]], 1/5760],
[[[1, 1], [2, 3], [4, 5], [6, 1], [12, 2]], 1/2304],
[[[1, 1], [2, 3], [4, 5], [6, 1], [20, 1]], 1/5760],
[[[1, 1], [2, 3], [4, 7], [6, 1], [8, 1]], 1/138240],
[[[1, 1], [2, 3], [4, 7], [6, 1], [12, 1]], 1/17280],
[[[1, 1], [2, 3], [6, 2], [10, 1], [18, 2]], 1/2160],
[[[1, 1], [2, 3], [6, 2], [10, 2], [30, 1]], 1/600],
[[[1, 1], [2, 3], [6, 2], [12, 1], [18, 2]], 1/2592],
[[[1, 1], [2, 3], [6, 4], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 6]], 1/2239488],
[[[1, 1], [2, 5], [3, 1], [6, 2], [10, 3]], 1/54000],
[[[1, 1], [2, 5], [3, 1], [6, 2], [18, 2]], 1/7776],
[[[1, 1], [2, 5], [3, 1], [6, 4], [10, 2]], 1/64800],
[[[1, 1], [2, 5], [3, 1], [6, 5], [18, 1]], 7/15552],
[[[1, 1], [2, 5], [3, 1], [6, 6], [10, 1]], 31/933120],
[[[1, 1], [2, 5], [3, 1], [6, 6], [12, 1]], 1/17280],
[[[1, 1], [2, 5], [3, 2], [6, 1], [18, 2]], 1/124416],
[[[1, 1], [2, 5], [3, 2], [6, 4], [18, 1]], 1/15552],
[[[1, 1], [2, 5], [3, 3], [4, 1], [6, 5]], 1/124416],
[[[1, 1], [2, 5], [3, 3], [4, 3], [6, 3]], 1/331776],
[[[1, 1], [2, 5], [3, 3], [5, 1], [6, 4]], 1/77760],
[[[1, 1], [2, 5], [3, 3], [6, 3], [18, 1]], 1/15552],
[[[1, 1], [2, 5], [3, 3], [6, 4], [8, 1]], 1/31104],
[[[1, 1], [2, 5], [3, 3], [6, 4], [10, 1]], 1/34560],
[[[1, 1], [2, 5], [3, 3], [9, 1], [18, 1]], 1/622080],
[[[1, 1], [2, 5], [3, 4], [4, 1], [6, 4]], 1/165888],
[[[1, 1], [2, 5], [4, 1], [6, 2], [10, 3]], 1/72000],
[[[1, 1], [2, 5], [4, 1], [6, 2], [18, 2]], 1/10368],
[[[1, 1], [2, 5], [4, 1], [6, 4], [10, 2]], 1/172800],
[[[1, 1], [2, 5], [4, 1], [6, 5], [18, 1]], 1/20736],
[[[1, 1], [2, 5], [4, 1], [6, 6], [10, 1]], 1/933120],
[[[1, 1], [2, 5], [4, 2], [6, 1], [10, 3]], 1/144000],
[[[1, 1], [2, 5], [4, 2], [6, 3], [10, 2]], 1/172800],
[[[1, 1], [2, 5], [4, 2], [6, 5], [10, 1]], 1/622080],
[[[1, 1], [2, 5], [4, 3], [6, 2], [10, 2]], 1/230400],
[[[1, 1], [2, 5], [4, 3], [6, 4], [10, 1]], 1/829440],
[[[1, 1], [2, 5], [4, 3], [8, 1], [12, 2]], 1/110592],
[[[1, 1], [2, 5], [4, 3], [8, 1], [20, 1]], 1/30720],
[[[1, 1], [2, 5], [4, 3], [12, 1], [20, 1]], 1/23040],
[[[1, 1], [2, 5], [4, 5], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 5], [6, 1], [12, 1], [18, 2]], 1/20736],
[[[1, 1], [2, 5], [6, 3], [10, 1], [30, 1]], 11/11520],
[[[1, 1], [2, 5], [6, 4], [10, 1], [18, 1]], 1/2160],
[[[1, 1], [2, 5], [6, 4], [12, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 5]], 41/89579520],
[[[1, 1], [2, 7], [3, 1], [6, 1], [10, 3]], 1/1728000],
[[[1, 1], [2, 7], [3, 1], [6, 1], [18, 2]], 1/311040],
[[[1, 1], [2, 7], [3, 1], [6, 3], [10, 2]], 11/691200],
[[[1, 1], [2, 7], [3, 1], [6, 4], [18, 1]], 161/622080],
[[[1, 1], [2, 7], [3, 1], [6, 5], [10, 1]], 2917/37324800],
[[[1, 1], [2, 7], [3, 1], [6, 5], [12, 1]], 1/20736],
[[[1, 1], [2, 7], [3, 2], [4, 1], [6, 5]], 1/829440],
[[[1, 1], [2, 7], [3, 2], [6, 3], [18, 1]], 1/124416],
[[[1, 1], [2, 7], [3, 3], [4, 1], [6, 4]], 1/62208],
[[[1, 1], [2, 7], [3, 3], [5, 1], [6, 3]], 1/2488320],
[[[1, 1], [2, 7], [3, 3], [6, 2], [18, 1]], 1/622080],
[[[1, 1], [2, 7], [3, 3], [6, 3], [8, 1]], 1/1244160],
[[[1, 1], [2, 7], [4, 1], [6, 1], [10, 3]], 1/36000],
[[[1, 1], [2, 7], [4, 1], [6, 3], [10, 2]], 1/43200],
[[[1, 1], [2, 7], [4, 1], [6, 4], [18, 1]], 1/10368],
[[[1, 1], [2, 7], [4, 1], [6, 5], [10, 1]], 1/155520],
[[[1, 1], [2, 7], [4, 1], [6, 5], [12, 1]], 1/138240],
[[[1, 1], [2, 7], [4, 2], [6, 2], [10, 2]], 1/153600],
[[[1, 1], [2, 7], [4, 2], [6, 4], [10, 1]], 17/4976640],
[[[1, 1], [2, 7], [4, 3], [6, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 7], [4, 3], [6, 3], [10, 1]], 1/414720],
[[[1, 1], [2, 7], [6, 2], [10, 1], [30, 1]], 1/14400],
[[[1, 1], [2, 7], [6, 3], [12, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 9], [3, 1], [4, 2], [6, 4]], 23/134369280],
[[[1, 1], [2, 9], [3, 1], [6, 2], [10, 2]], 1/1152000],
[[[1, 1], [2, 9], [3, 1], [6, 3], [18, 1]], 1/155520],
[[[1, 1], [2, 9], [3, 1], [6, 4], [10, 1]], 89/18662400],
[[[1, 1], [2, 9], [3, 1], [6, 4], [12, 1]], 1/829440],
[[[1, 1], [2, 9], [3, 3], [4, 1], [6, 3]], 1/2211840],
[[[1, 1], [2, 9], [4, 1], [6, 2], [10, 2]], 83/4608000],
[[[1, 1], [2, 9], [4, 1], [6, 4], [10, 1]], 163/16588800],
[[[1, 1], [2, 9], [4, 2], [6, 1], [10, 2]], 1/1152000],
[[[1, 1], [2, 9], [4, 2], [6, 3], [10, 1]], 13/6220800],
[[[1, 1], [2, 9], [4, 3], [6, 2], [10, 1]], 7/5529600],
[[[1, 1], [2, 11], [3, 1], [4, 2], [6, 3]], 41/3583180800],
[[[1, 1], [2, 11], [3, 1], [6, 1], [10, 2]], 1/82944000],
[[[1, 1], [2, 11], [3, 1], [6, 3], [10, 1]], 53/149299200],
[[[1, 1], [2, 11], [4, 1], [6, 1], [10, 2]], 13/13824000],
[[[1, 1], [2, 11], [4, 1], [6, 3], [10, 1]], 359/74649600],
[[[1, 1], [2, 11], [4, 2], [6, 2], [10, 1]], 29/99532800],
[[[1, 1], [2, 11], [4, 3], [6, 1], [10, 1]], 1/16588800],
[[[1, 1], [2, 13], [3, 1], [4, 2], [6, 2]], 1/3583180800],
[[[1, 1], [2, 13], [3, 1], [6, 2], [10, 1]], 7/746496000],
[[[1, 1], [2, 13], [4, 1], [6, 2], [10, 1]], 347/995328000],
[[[1, 1], [2, 13], [4, 2], [6, 1], [10, 1]], 11/995328000],
[[[1, 1], [2, 15], [3, 1], [4, 2], [6, 1]], 1/429981696000],
[[[1, 1], [2, 15], [3, 1], [6, 1], [10, 1]], 1/11943936000],
[[[1, 1], [2, 15], [4, 1], [6, 1], [10, 1]], 1/110592000],
[[[1, 2], [2, 2], [3, 1], [4, 1], [8, 4]], 1/1152],
[[[1, 2], [2, 2], [3, 1], [6, 3], [18, 2]], 5/11664],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 6]], 1/1492992],
[[[1, 2], [2, 2], [3, 2], [6, 2], [9, 2]], 1/2592],
[[[1, 2], [2, 2], [3, 2], [6, 2], [18, 2]], 1/2592],
[[[1, 2], [2, 2], [3, 2], [6, 5], [18, 1]], 1/5184],
[[[1, 2], [2, 2], [3, 3], [4, 1], [9, 2]], 1/20736],
[[[1, 2], [2, 2], [3, 3], [6, 1], [9, 2]], 5/11664],
[[[1, 2], [2, 2], [3, 3], [6, 4], [9, 1]], 1/5184],
[[[1, 2], [2, 2], [3, 4], [6, 3], [18, 1]], 1/5184],
[[[1, 2], [2, 2], [3, 4], [6, 4], [8, 1]], 5/46656],
[[[1, 2], [2, 2], [3, 5], [6, 2], [9, 1]], 1/5184],
[[[1, 2], [2, 2], [3, 6], [4, 2], [6, 2]], 1/1492992],
[[[1, 2], [2, 2], [4, 1], [6, 1], [8, 4]], 1/1152],
[[[1, 2], [2, 2], [4, 1], [6, 3], [18, 2]], 1/20736],
[[[1, 2], [2, 2], [4, 2], [8, 2], [16, 1]], 3/256],
[[[1, 2], [2, 2], [4, 2], [8, 2], [24, 1]], 1/192],
[[[1, 2], [2, 2], [4, 2], [12, 2], [20, 1]], 1/3840],
[[[1, 2], [2, 2], [4, 4], [8, 1], [12, 2]], 7/9216],
[[[1, 2], [2, 2], [4, 4], [8, 1], [20, 1]], 7/2560],
[[[1, 2], [2, 2], [4, 4], [12, 1], [20, 1]], 13/3840],
[[[1, 2], [2, 2], [4, 6], [8, 1], [12, 1]], 5/4608],
[[[1, 2], [2, 2], [5, 2], [8, 1], [10, 2]], 1/2000],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 7]], 1/1119744],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 6]], 1/746496],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 5]], 1/995328],
[[[1, 2], [2, 4], [3, 1], [6, 2], [10, 3]], 1/162000],
[[[1, 2], [2, 4], [3, 1], [6, 2], [18, 2]], 5/11664],
[[[1, 2], [2, 4], [3, 1], [6, 4], [10, 2]], 1/388800],
[[[1, 2], [2, 4], [3, 1], [6, 5], [18, 1]], 47/46656],
[[[1, 2], [2, 4], [3, 1], [6, 6], [10, 1]], 1/2099520],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 5]], 1/746496],
[[[1, 2], [2, 4], [3, 2], [5, 2], [6, 3]], 1/43200],
[[[1, 2], [2, 4], [3, 2], [6, 1], [18, 2]], 1/41472],
[[[1, 2], [2, 4], [3, 2], [6, 3], [10, 2]], 1/43200],
[[[1, 2], [2, 4], [3, 2], [6, 3], [12, 2]], 1/1728],
[[[1, 2], [2, 4], [3, 2], [6, 4], [18, 1]], 1/864],
[[[1, 2], [2, 4], [3, 2], [6, 5], [10, 1]], 31/311040],
[[[1, 2], [2, 4], [3, 2], [6, 5], [12, 1]], 1/3456],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 5]], 1/62208],
[[[1, 2], [2, 4], [3, 3], [4, 3], [6, 3]], 1/331776],
[[[1, 2], [2, 4], [3, 3], [6, 3], [9, 1]], 1/2592],
[[[1, 2], [2, 4], [3, 3], [6, 3], [18, 1]], 1/5184],
[[[1, 2], [2, 4], [3, 3], [6, 4], [8, 1]], 1/10368],
[[[1, 2], [2, 4], [3, 3], [6, 4], [10, 1]], 1/12960],
[[[1, 2], [2, 4], [3, 3], [6, 4], [12, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 3], [9, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 4], [3, 4], [4, 1], [6, 4]], 5/186624],
[[[1, 2], [2, 4], [3, 4], [4, 2], [6, 3]], 1/248832],
[[[1, 2], [2, 4], [3, 4], [4, 3], [6, 2]], 1/331776],
[[[1, 2], [2, 4], [3, 4], [5, 1], [6, 3]], 1/77760],
[[[1, 2], [2, 4], [3, 4], [6, 3], [8, 1]], 1/93312],
[[[1, 2], [2, 4], [3, 4], [6, 3], [10, 1]], 17/103680],
[[[1, 2], [2, 4], [3, 5], [4, 1], [6, 3]], 1/124416],
[[[1, 2], [2, 4], [4, 1], [5, 2], [10, 2]], 1/8000],
[[[1, 2], [2, 4], [4, 1], [6, 2], [18, 2]], 1/2592],
[[[1, 2], [2, 4], [4, 1], [6, 5], [18, 1]], 1/20736],
[[[1, 2], [2, 4], [4, 1], [8, 2], [16, 1]], 1/1536],
[[[1, 2], [2, 4], [4, 1], [8, 2], [24, 1]], 1/1152],
[[[1, 2], [2, 4], [4, 3], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 4], [4, 3], [6, 2], [10, 2]], 1/230400],
[[[1, 2], [2, 4], [4, 3], [6, 4], [10, 1]], 1/829440],
[[[1, 2], [2, 4], [4, 3], [8, 1], [12, 2]], 1/9216],
[[[1, 2], [2, 4], [4, 3], [8, 1], [16, 1]], 1/512],
[[[1, 2], [2, 4], [4, 3], [8, 1], [20, 1]], 1/2560],
[[[1, 2], [2, 4], [4, 3], [8, 2], [10, 1]], 1/5120],
[[[1, 2], [2, 4], [4, 3], [12, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 4], [4, 4], [6, 1], [8, 2]], 1/3072],
[[[1, 2], [2, 4], [4, 4], [6, 1], [12, 2]], 5/6912],
[[[1, 2], [2, 4], [4, 4], [6, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 4], [4, 5], [8, 1], [12, 1]], 1/9216],
[[[1, 2], [2, 4], [4, 6], [6, 1], [8, 1]], 1/8640],
[[[1, 2], [2, 4], [4, 6], [6, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 4], [6, 1], [12, 1], [18, 2]], 1/6912],
[[[1, 2], [2, 4], [6, 3], [9, 1], [18, 1]], 1/41472],
[[[1, 2], [2, 4], [6, 3], [10, 1], [30, 1]], 17/11520],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 6]], 35/1492992],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 5]], 17/5971968],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 4]], 1/497664],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 3]], 1/331776],
[[[1, 2], [2, 6], [3, 1], [6, 1], [10, 3]], 17/1296000],
[[[1, 2], [2, 6], [3, 1], [6, 1], [18, 2]], 23/466560],
[[[1, 2], [2, 6], [3, 1], [6, 3], [10, 2]], 89/1555200],
[[[1, 2], [2, 6], [3, 1], [6, 4], [18, 1]], 457/373248],
[[[1, 2], [2, 6], [3, 1], [6, 5], [10, 1]], 5773/27993600],
[[[1, 2], [2, 6], [3, 1], [6, 5], [12, 1]], 1/6912],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 5]], 1/829440],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 4]], 307/9953280],
[[[1, 2], [2, 6], [3, 2], [4, 2], [8, 2]], 1/1658880],
[[[1, 2], [2, 6], [3, 2], [4, 4], [6, 2]], 1/294912],
[[[1, 2], [2, 6], [3, 2], [5, 2], [6, 2]], 1/1382400],
[[[1, 2], [2, 6], [3, 2], [6, 2], [10, 2]], 1/1382400],
[[[1, 2], [2, 6], [3, 2], [6, 2], [12, 2]], 1/55296],
[[[1, 2], [2, 6], [3, 2], [6, 3], [18, 1]], 17/41472],
[[[1, 2], [2, 6], [3, 2], [6, 4], [10, 1]], 299/829440],
[[[1, 2], [2, 6], [3, 2], [6, 4], [12, 1]], 1/6912],
[[[1, 2], [2, 6], [3, 2], [9, 1], [18, 1]], 1/103680],
[[[1, 2], [2, 6], [3, 3], [4, 1], [6, 4]], 11/165888],
[[[1, 2], [2, 6], [3, 3], [4, 2], [6, 3]], 73/1990656],
[[[1, 2], [2, 6], [3, 3], [5, 1], [6, 3]], 1/207360],
[[[1, 2], [2, 6], [3, 3], [6, 2], [18, 1]], 1/41472],
[[[1, 2], [2, 6], [3, 3], [6, 3], [8, 1]], 1/82944],
[[[1, 2], [2, 6], [3, 3], [6, 3], [10, 1]], 1/103680],
[[[1, 2], [2, 6], [3, 4], [4, 1], [6, 3]], 1/93312],
[[[1, 2], [2, 6], [3, 4], [5, 1], [6, 2]], 1/2488320],
[[[1, 2], [2, 6], [3, 4], [6, 2], [8, 1]], 1/3732480],
[[[1, 2], [2, 6], [4, 1], [6, 1], [10, 3]], 1/18000],
[[[1, 2], [2, 6], [4, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 2], [2, 6], [4, 1], [6, 4], [18, 1]], 1/2592],
[[[1, 2], [2, 6], [4, 1], [6, 5], [10, 1]], 1/77760],
[[[1, 2], [2, 6], [4, 1], [6, 5], [12, 1]], 1/138240],
[[[1, 2], [2, 6], [4, 2], [5, 1], [8, 2]], 1/460800],
[[[1, 2], [2, 6], [4, 2], [5, 1], [10, 2]], 1/12800],
[[[1, 2], [2, 6], [4, 2], [6, 2], [10, 2]], 17/460800],
[[[1, 2], [2, 6], [4, 2], [6, 4], [10, 1]], 7/552960],
[[[1, 2], [2, 6], [4, 2], [8, 1], [12, 2]], 1/110592],
[[[1, 2], [2, 6], [4, 2], [8, 1], [20, 1]], 1/30720],
[[[1, 2], [2, 6], [4, 3], [6, 1], [8, 2]], 1/18432],
[[[1, 2], [2, 6], [4, 3], [6, 1], [10, 2]], 1/57600],
[[[1, 2], [2, 6], [4, 3], [6, 3], [10, 1]], 1/103680],
[[[1, 2], [2, 6], [4, 4], [6, 2], [8, 1]], 1/73728],
[[[1, 2], [2, 6], [4, 4], [6, 2], [10, 1]], 1/368640],
[[[1, 2], [2, 6], [4, 4], [8, 1], [10, 1]], 1/20480],
[[[1, 2], [2, 6], [4, 4], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 6], [5, 2], [8, 1], [10, 1]], 1/288000],
[[[1, 2], [2, 6], [6, 2], [9, 1], [18, 1]], 1/20736],
[[[1, 2], [2, 6], [6, 2], [10, 1], [30, 1]], 1/2880],
[[[1, 2], [2, 6], [6, 3], [12, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 5]], 1027/19906560],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 4]], 13/7464960],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 3]], 7/6635520],
[[[1, 2], [2, 8], [3, 1], [4, 4], [6, 2]], 1/331776],
[[[1, 2], [2, 8], [3, 1], [6, 2], [10, 2]], 163/10368000],
[[[1, 2], [2, 8], [3, 1], [6, 3], [18, 1]], 5/46656],
[[[1, 2], [2, 8], [3, 1], [6, 4], [10, 1]], 1927/55987200],
[[[1, 2], [2, 8], [3, 1], [6, 4], [12, 1]], 1/55296],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 3]], 1171/29859840],
[[[1, 2], [2, 8], [3, 2], [4, 3], [8, 1]], 1/6635520],
[[[1, 2], [2, 8], [3, 2], [6, 2], [18, 1]], 1/103680],
[[[1, 2], [2, 8], [3, 2], [6, 3], [10, 1]], 1/1382400],
[[[1, 2], [2, 8], [3, 2], [6, 3], [12, 1]], 1/276480],
[[[1, 2], [2, 8], [3, 3], [4, 1], [6, 3]], 133/19906560],
[[[1, 2], [2, 8], [3, 4], [4, 1], [6, 2]], 19/59719680],
[[[1, 2], [2, 8], [4, 1], [5, 2], [10, 1]], 1/1152000],
[[[1, 2], [2, 8], [4, 1], [6, 2], [10, 2]], 83/921600],
[[[1, 2], [2, 8], [4, 1], [6, 4], [10, 1]], 473/9953280],
[[[1, 2], [2, 8], [4, 2], [6, 1], [10, 2]], 1/23040],
[[[1, 2], [2, 8], [4, 2], [6, 3], [10, 1]], 1/34560],
[[[1, 2], [2, 8], [4, 3], [5, 1], [8, 1]], 1/1843200],
[[[1, 2], [2, 8], [4, 3], [6, 2], [10, 1]], 13/1382400],
[[[1, 2], [2, 8], [4, 4], [6, 1], [8, 1]], 1/73728],
[[[1, 2], [2, 8], [4, 4], [6, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 4]], 359/89579520],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 3]], 29/119439360],
[[[1, 2], [2, 10], [3, 1], [4, 3], [6, 2]], 1/19906560],
[[[1, 2], [2, 10], [3, 1], [4, 4], [6, 1]], 1/13271040],
[[[1, 2], [2, 10], [3, 1], [6, 1], [10, 2]], 113/248832000],
[[[1, 2], [2, 10], [3, 1], [6, 3], [10, 1]], 9403/1343692800],
[[[1, 2], [2, 10], [3, 2], [4, 2], [6, 2]], 619/597196800],
[[[1, 2], [2, 10], [3, 2], [6, 2], [10, 1]], 1/99532800],
[[[1, 2], [2, 10], [4, 1], [6, 1], [10, 2]], 1/64000],
[[[1, 2], [2, 10], [4, 1], [6, 3], [10, 1]], 127/3110400],
[[[1, 2], [2, 10], [4, 2], [5, 1], [10, 1]], 1/1843200],
[[[1, 2], [2, 10], [4, 2], [6, 2], [10, 1]], 7/409600],
[[[1, 2], [2, 10], [4, 3], [6, 1], [10, 1]], 19/16588800],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 3]], 347/1194393600],
[[[1, 2], [2, 12], [3, 1], [4, 2], [6, 2]], 11/1194393600],
[[[1, 2], [2, 12], [3, 1], [4, 3], [6, 1]], 1/1592524800],
[[[1, 2], [2, 12], [3, 1], [6, 2], [10, 1]], 89/279936000],
[[[1, 2], [2, 12], [4, 1], [6, 2], [10, 1]], 341/49766400],
[[[1, 2], [2, 12], [4, 2], [6, 1], [10, 1]], 1/1105920],
[[[1, 2], [2, 14], [3, 1], [4, 1], [6, 2]], 1/132710400],
[[[1, 2], [2, 14], [3, 1], [4, 2], [6, 1]], 1/9555148800],
[[[1, 2], [2, 14], [3, 1], [6, 1], [10, 1]], 79/17915904000],
[[[1, 2], [2, 14], [4, 1], [6, 1], [10, 1]], 283/995328000],
[[[1, 2], [2, 16], [3, 1], [4, 1], [6, 1]], 19/286654464000],
[[[1, 2], [3, 1], [4, 2], [12, 2], [20, 1]], 1/2160],
[[[1, 2], [3, 1], [4, 4], [12, 1], [20, 1]], 1/2160],
[[[1, 2], [3, 1], [5, 1], [6, 2], [9, 2]], 1/12960],
[[[1, 2], [3, 1], [5, 1], [9, 2], [12, 1]], 1/2160],
[[[1, 2], [3, 1], [5, 2], [6, 2], [15, 1]], 1/3600],
[[[1, 2], [3, 1], [5, 2], [12, 1], [15, 1]], 1/600],
[[[1, 2], [3, 2], [6, 3], [9, 1], [18, 1]], 1/5184],
[[[1, 2], [3, 3], [5, 1], [6, 2], [15, 1]], 1/12960],
[[[1, 2], [3, 3], [5, 1], [12, 1], [15, 1]], 1/2160],
[[[1, 2], [3, 4], [6, 1], [9, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 1], [3, 1], [4, 3], [12, 3]], 1/2592],
[[[1, 3], [2, 1], [3, 1], [4, 5], [12, 2]], 1/2304],
[[[1, 3], [2, 1], [3, 1], [4, 5], [20, 1]], 1/5760],
[[[1, 3], [2, 1], [3, 1], [4, 7], [8, 1]], 1/138240],
[[[1, 3], [2, 1], [3, 1], [4, 7], [12, 1]], 1/17280],
[[[1, 3], [2, 1], [3, 2], [5, 1], [9, 2]], 1/2160],
[[[1, 3], [2, 1], [3, 2], [5, 2], [15, 1]], 1/600],
[[[1, 3], [2, 1], [3, 2], [6, 2], [9, 2]], 1/15552],
[[[1, 3], [2, 1], [3, 2], [6, 2], [18, 2]], 1/7776],
[[[1, 3], [2, 1], [3, 2], [9, 2], [12, 1]], 1/2592],
[[[1, 3], [2, 1], [3, 3], [4, 1], [9, 2]], 1/20736],
[[[1, 3], [2, 1], [3, 3], [4, 2], [6, 5]], 1/746496],
[[[1, 3], [2, 1], [3, 3], [6, 1], [9, 2]], 1/3888],
[[[1, 3], [2, 1], [3, 4], [5, 1], [15, 1]], 1/1440],
[[[1, 3], [2, 1], [3, 4], [6, 3], [9, 1]], 1/7776],
[[[1, 3], [2, 1], [3, 5], [6, 3], [8, 1]], 1/31104],
[[[1, 3], [2, 1], [3, 6], [6, 1], [9, 1]], 1/7776],
[[[1, 3], [2, 1], [3, 7], [4, 2], [6, 1]], 1/6718464],
[[[1, 3], [2, 1], [4, 2], [8, 2], [16, 1]], 1/512],
[[[1, 3], [2, 1], [4, 2], [8, 2], [24, 1]], 1/384],
[[[1, 3], [2, 1], [4, 2], [12, 2], [20, 1]], 1/5760],
[[[1, 3], [2, 1], [4, 4], [12, 1], [20, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 3]], 1/384],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 5]], 1/995328],
[[[1, 3], [2, 3], [3, 1], [5, 2], [10, 2]], 1/3000],
[[[1, 3], [2, 3], [3, 1], [5, 3], [6, 2]], 1/54000],
[[[1, 3], [2, 3], [3, 1], [6, 2], [9, 2]], 1/124416],
[[[1, 3], [2, 3], [3, 1], [6, 2], [18, 2]], 1/7776],
[[[1, 3], [2, 3], [3, 1], [9, 2], [12, 1]], 1/20736],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 6]], 1/248832],
[[[1, 3], [2, 3], [3, 2], [4, 1], [9, 2]], 1/3456],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 5]], 1/248832],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 4]], 1/331776],
[[[1, 3], [2, 3], [3, 2], [4, 3], [8, 2]], 1/18432],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 5]], 17/311040],
[[[1, 3], [2, 3], [3, 2], [6, 1], [9, 2]], 1/7776],
[[[1, 3], [2, 3], [3, 2], [6, 1], [10, 3]], 1/54000],
[[[1, 3], [2, 3], [3, 2], [6, 1], [18, 2]], 1/124416],
[[[1, 3], [2, 3], [3, 2], [6, 3], [10, 2]], 1/64800],
[[[1, 3], [2, 3], [3, 2], [6, 4], [18, 1]], 11/7776],
[[[1, 3], [2, 3], [3, 2], [6, 5], [10, 1]], 1/233280],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 5]], 1/124416],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 4]], 1/746496],
[[[1, 3], [2, 3], [3, 3], [5, 1], [6, 4]], 1/38880],
[[[1, 3], [2, 3], [3, 3], [5, 1], [10, 2]], 1/10800],
[[[1, 3], [2, 3], [3, 3], [5, 1], [15, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 3], [5, 2], [6, 2]], 1/64800],
[[[1, 3], [2, 3], [3, 3], [6, 3], [9, 1]], 1/864],
[[[1, 3], [2, 3], [3, 3], [6, 3], [18, 1]], 1/864],
[[[1, 3], [2, 3], [3, 3], [6, 4], [8, 1]], 1/31104],
[[[1, 3], [2, 3], [3, 3], [6, 4], [10, 1]], 13/311040],
[[[1, 3], [2, 3], [3, 3], [6, 4], [12, 1]], 5/10368],
[[[1, 3], [2, 3], [3, 3], [9, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 4]], 5/93312],
[[[1, 3], [2, 3], [3, 4], [4, 2], [6, 3]], 1/746496],
[[[1, 3], [2, 3], [3, 4], [4, 3], [6, 2]], 1/331776],
[[[1, 3], [2, 3], [3, 4], [5, 1], [6, 3]], 13/311040],
[[[1, 3], [2, 3], [3, 4], [6, 2], [9, 1]], 11/7776],
[[[1, 3], [2, 3], [3, 4], [6, 3], [8, 1]], 1/31104],
[[[1, 3], [2, 3], [3, 4], [6, 3], [10, 1]], 1/38880],
[[[1, 3], [2, 3], [3, 4], [6, 3], [12, 1]], 5/10368],
[[[1, 3], [2, 3], [3, 5], [4, 1], [6, 3]], 1/124416],
[[[1, 3], [2, 3], [3, 5], [4, 2], [6, 2]], 1/248832],
[[[1, 3], [2, 3], [3, 5], [4, 3], [6, 1]], 1/995328],
[[[1, 3], [2, 3], [3, 5], [5, 1], [6, 2]], 1/233280],
[[[1, 3], [2, 3], [3, 5], [6, 2], [10, 1]], 17/311040],
[[[1, 3], [2, 3], [3, 6], [4, 1], [6, 2]], 1/248832],
[[[1, 3], [2, 3], [4, 1], [5, 2], [10, 2]], 1/4000],
[[[1, 3], [2, 3], [4, 1], [6, 2], [18, 2]], 1/3456],
[[[1, 3], [2, 3], [4, 1], [8, 2], [16, 1]], 1/256],
[[[1, 3], [2, 3], [4, 1], [8, 2], [24, 1]], 1/192],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 3]], 1/384],
[[[1, 3], [2, 3], [4, 3], [5, 1], [8, 2]], 1/5120],
[[[1, 3], [2, 3], [4, 3], [6, 2], [8, 2]], 1/18432],
[[[1, 3], [2, 3], [4, 3], [8, 1], [12, 2]], 5/6144],
[[[1, 3], [2, 3], [4, 3], [8, 1], [16, 1]], 1/256],
[[[1, 3], [2, 3], [4, 3], [8, 1], [20, 1]], 3/1024],
[[[1, 3], [2, 3], [4, 3], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 3], [4, 3], [12, 1], [20, 1]], 1/1280],
[[[1, 3], [2, 3], [4, 5], [8, 1], [12, 1]], 19/6144],
[[[1, 3], [2, 3], [5, 2], [6, 1], [10, 2]], 1/3000],
[[[1, 3], [2, 3], [5, 2], [6, 3], [10, 1]], 1/10800],
[[[1, 3], [2, 3], [6, 1], [12, 1], [18, 2]], 1/20736],
[[[1, 3], [2, 3], [6, 3], [9, 1], [18, 1]], 1/13824],
[[[1, 3], [2, 3], [6, 3], [10, 1], [30, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 6]], 391/13436928],
[[[1, 3], [2, 5], [3, 1], [4, 1], [10, 3]], 1/72000],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 5]], 7/663552],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 4]], 1/62208],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 3]], 11/1327104],
[[[1, 3], [2, 5], [3, 1], [5, 3], [6, 1]], 1/1728000],
[[[1, 3], [2, 5], [3, 1], [6, 1], [9, 2]], 1/62208],
[[[1, 3], [2, 5], [3, 1], [6, 1], [10, 3]], 1/34560],
[[[1, 3], [2, 5], [3, 1], [6, 1], [18, 2]], 5/31104],
[[[1, 3], [2, 5], [3, 1], [6, 3], [10, 2]], 1/41472],
[[[1, 3], [2, 5], [3, 1], [6, 4], [18, 1]], 169/124416],
[[[1, 3], [2, 5], [3, 1], [6, 5], [10, 1]], 5/746496],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 5]], 7/41472],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 4]], 47/663552],
[[[1, 3], [2, 5], [3, 2], [4, 2], [8, 2]], 1/110592],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 3]], 11/995328],
[[[1, 3], [2, 5], [3, 2], [4, 4], [6, 2]], 67/3981312],
[[[1, 3], [2, 5], [3, 2], [4, 4], [8, 1]], 1/73728],
[[[1, 3], [2, 5], [3, 2], [4, 4], [10, 1]], 1/276480],
[[[1, 3], [2, 5], [3, 2], [5, 1], [6, 4]], 1/11520],
[[[1, 3], [2, 5], [3, 2], [5, 1], [10, 2]], 1/86400],
[[[1, 3], [2, 5], [3, 2], [5, 2], [6, 2]], 1/115200],
[[[1, 3], [2, 5], [3, 2], [6, 2], [10, 2]], 1/41472],
[[[1, 3], [2, 5], [3, 2], [6, 2], [12, 2]], 1/4608],
[[[1, 3], [2, 5], [3, 2], [6, 3], [18, 1]], 161/124416],
[[[1, 3], [2, 5], [3, 2], [6, 4], [8, 1]], 1/27648],
[[[1, 3], [2, 5], [3, 2], [6, 4], [10, 1]], 1177/1866240],
[[[1, 3], [2, 5], [3, 2], [6, 4], [12, 1]], 1/2304],
[[[1, 3], [2, 5], [3, 2], [9, 1], [18, 1]], 23/155520],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 4]], 35/165888],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 3]], 2573/14929920],
[[[1, 3], [2, 5], [3, 3], [4, 3], [6, 2]], 1/110592],
[[[1, 3], [2, 5], [3, 3], [4, 4], [6, 1]], 1/442368],
[[[1, 3], [2, 5], [3, 3], [5, 1], [6, 3]], 89/1244160],
[[[1, 3], [2, 5], [3, 3], [5, 2], [6, 1]], 1/2073600],
[[[1, 3], [2, 5], [3, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 5], [3, 3], [6, 3], [8, 1]], 17/248832],
[[[1, 3], [2, 5], [3, 3], [6, 3], [10, 1]], 317/497664],
[[[1, 3], [2, 5], [3, 3], [6, 3], [12, 1]], 1/20736],
[[[1, 3], [2, 5], [3, 4], [4, 1], [6, 3]], 65/373248],
[[[1, 3], [2, 5], [3, 4], [4, 2], [6, 2]], 49/1990656],
[[[1, 3], [2, 5], [3, 4], [5, 1], [6, 2]], 1/207360],
[[[1, 3], [2, 5], [3, 4], [6, 2], [8, 1]], 1/248832],
[[[1, 3], [2, 5], [3, 4], [6, 2], [10, 1]], 1/311040],
[[[1, 3], [2, 5], [3, 5], [4, 1], [6, 2]], 1/373248],
[[[1, 3], [2, 5], [3, 5], [5, 1], [6, 1]], 1/7464960],
[[[1, 3], [2, 5], [4, 1], [6, 4], [18, 1]], 1/3456],
[[[1, 3], [2, 5], [4, 2], [5, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 5], [4, 2], [5, 1], [10, 2]], 3/12800],
[[[1, 3], [2, 5], [4, 2], [5, 2], [10, 1]], 1/12800],
[[[1, 3], [2, 5], [4, 2], [6, 2], [8, 2]], 7/110592],
[[[1, 3], [2, 5], [4, 2], [6, 2], [10, 2]], 37/1382400],
[[[1, 3], [2, 5], [4, 2], [6, 4], [10, 1]], 37/4976640],
[[[1, 3], [2, 5], [4, 2], [8, 1], [12, 2]], 1/9216],
[[[1, 3], [2, 5], [4, 2], [8, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 5], [4, 2], [8, 1], [20, 1]], 1/2560],
[[[1, 3], [2, 5], [4, 2], [8, 2], [10, 1]], 7/30720],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 2]], 1/1152],
[[[1, 3], [2, 5], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 5], [4, 3], [6, 1], [12, 2]], 1/20736],
[[[1, 3], [2, 5], [4, 3], [6, 1], [20, 1]], 1/5760],
[[[1, 3], [2, 5], [4, 3], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 5], [4, 3], [6, 3], [10, 1]], 1/138240],
[[[1, 3], [2, 5], [4, 4], [5, 1], [6, 2]], 1/276480],
[[[1, 3], [2, 5], [4, 4], [5, 1], [8, 1]], 1/20480],
[[[1, 3], [2, 5], [4, 4], [5, 1], [10, 1]], 1/76800],
[[[1, 3], [2, 5], [4, 4], [6, 2], [8, 1]], 11/221184],
[[[1, 3], [2, 5], [4, 4], [6, 2], [10, 1]], 1/184320],
[[[1, 3], [2, 5], [4, 4], [8, 1], [10, 1]], 11/61440],
[[[1, 3], [2, 5], [4, 4], [8, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 5], [4, 5], [6, 1], [8, 1]], 1/2304],
[[[1, 3], [2, 5], [4, 5], [6, 1], [12, 1]], 5/10368],
[[[1, 3], [2, 5], [5, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 3], [2, 5], [5, 2], [6, 2], [10, 1]], 1/9600],
[[[1, 3], [2, 5], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 5], [6, 2], [9, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 5], [6, 2], [10, 1], [30, 1]], 1/1728],
[[[1, 3], [2, 5], [6, 3], [12, 1], [18, 1]], 1/20736],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 5]], 34903/179159040],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 4]], 1/41472],
[[[1, 3], [2, 7], [3, 1], [4, 2], [8, 2]], 1/552960],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 3]], 73/1658880],
[[[1, 3], [2, 7], [3, 1], [4, 4], [6, 2]], 23/1327104],
[[[1, 3], [2, 7], [3, 1], [4, 5], [6, 1]], 5/589824],
[[[1, 3], [2, 7], [3, 1], [5, 2], [10, 1]], 1/432000],
[[[1, 3], [2, 7], [3, 1], [6, 2], [10, 2]], 7/115200],
[[[1, 3], [2, 7], [3, 1], [6, 3], [18, 1]], 7/15552],
[[[1, 3], [2, 7], [3, 1], [6, 4], [10, 1]], 67/933120],
[[[1, 3], [2, 7], [3, 1], [6, 4], [12, 1]], 1/18432],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 4]], 2423/6635520],
[[[1, 3], [2, 7], [3, 2], [4, 1], [8, 2]], 1/1658880],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 3]], 97/552960],
[[[1, 3], [2, 7], [3, 2], [4, 3], [6, 2]], 1939/19906560],
[[[1, 3], [2, 7], [3, 2], [4, 3], [8, 1]], 53/19906560],
[[[1, 3], [2, 7], [3, 2], [4, 4], [6, 1]], 1/995328],
[[[1, 3], [2, 7], [3, 2], [5, 1], [6, 3]], 1/115200],
[[[1, 3], [2, 7], [3, 2], [6, 1], [10, 2]], 1/2592000],
[[[1, 3], [2, 7], [3, 2], [6, 2], [18, 1]], 23/155520],
[[[1, 3], [2, 7], [3, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 7], [3, 2], [6, 3], [10, 1]], 191/12441600],
[[[1, 3], [2, 7], [3, 2], [6, 3], [12, 1]], 1/18432],
[[[1, 3], [2, 7], [3, 3], [4, 1], [6, 3]], 479/3317760],
[[[1, 3], [2, 7], [3, 3], [4, 2], [6, 2]], 7/497664],
[[[1, 3], [2, 7], [3, 3], [4, 2], [8, 1]], 1/2488320],
[[[1, 3], [2, 7], [3, 3], [5, 1], [6, 2]], 23/12441600],
[[[1, 3], [2, 7], [3, 3], [5, 1], [10, 1]], 1/1555200],
[[[1, 3], [2, 7], [3, 3], [6, 2], [8, 1]], 1/1244160],
[[[1, 3], [2, 7], [3, 3], [6, 2], [12, 1]], 1/829440],
[[[1, 3], [2, 7], [3, 4], [4, 1], [6, 2]], 263/59719680],
[[[1, 3], [2, 7], [3, 5], [4, 1], [6, 1]], 1/11943936],
[[[1, 3], [2, 7], [4, 1], [5, 1], [8, 2]], 1/460800],
[[[1, 3], [2, 7], [4, 1], [5, 1], [10, 2]], 1/25600],
[[[1, 3], [2, 7], [4, 1], [5, 2], [10, 1]], 17/1152000],
[[[1, 3], [2, 7], [4, 1], [6, 2], [10, 2]], 17/153600],
[[[1, 3], [2, 7], [4, 1], [6, 4], [10, 1]], 91/1658880],
[[[1, 3], [2, 7], [4, 2], [6, 1], [8, 2]], 7/110592],
[[[1, 3], [2, 7], [4, 2], [6, 1], [10, 2]], 19/138240],
[[[1, 3], [2, 7], [4, 2], [6, 3], [10, 1]], 101/1244160],
[[[1, 3], [2, 7], [4, 3], [5, 1], [8, 1]], 53/5529600],
[[[1, 3], [2, 7], [4, 3], [5, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 7], [4, 3], [6, 2], [8, 1]], 25/442368],
[[[1, 3], [2, 7], [4, 3], [6, 2], [10, 1]], 7/184320],
[[[1, 3], [2, 7], [4, 3], [8, 1], [10, 1]], 3/40960],
[[[1, 3], [2, 7], [4, 3], [8, 1], [12, 1]], 1/36864],
[[[1, 3], [2, 7], [4, 4], [5, 1], [6, 1]], 1/276480],
[[[1, 3], [2, 7], [4, 4], [6, 1], [8, 1]], 5/55296],
[[[1, 3], [2, 7], [4, 4], [6, 1], [10, 1]], 1/73728],
[[[1, 3], [2, 7], [5, 2], [6, 1], [10, 1]], 1/72000],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 4]], 313/8957952],
[[[1, 3], [2, 9], [3, 1], [4, 1], [10, 2]], 1/3456000],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 3]], 7/491520],
[[[1, 3], [2, 9], [3, 1], [4, 3], [6, 2]], 673/19906560],
[[[1, 3], [2, 9], [3, 1], [4, 3], [8, 1]], 1/737280],
[[[1, 3], [2, 9], [3, 1], [4, 4], [6, 1]], 71/53084160],
[[[1, 3], [2, 9], [3, 1], [6, 1], [10, 2]], 29/5529600],
[[[1, 3], [2, 9], [3, 1], [6, 3], [10, 1]], 1187/29859840],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 3]], 493/19906560],
[[[1, 3], [2, 9], [3, 2], [4, 2], [6, 2]], 337/19906560],
[[[1, 3], [2, 9], [3, 2], [4, 2], [8, 1]], 1/4976640],
[[[1, 3], [2, 9], [3, 2], [4, 3], [6, 1]], 1/4976640],
[[[1, 3], [2, 9], [3, 2], [5, 1], [6, 2]], 23/99532800],
[[[1, 3], [2, 9], [3, 2], [5, 1], [10, 1]], 1/12441600],
[[[1, 3], [2, 9], [3, 2], [6, 2], [8, 1]], 1/1105920],
[[[1, 3], [2, 9], [3, 2], [6, 2], [10, 1]], 29/59719680],
[[[1, 3], [2, 9], [3, 3], [4, 1], [6, 2]], 59/19906560],
[[[1, 3], [2, 9], [3, 3], [4, 2], [6, 1]], 31/79626240],
[[[1, 3], [2, 9], [4, 1], [6, 1], [10, 2]], 7/102400],
[[[1, 3], [2, 9], [4, 1], [6, 3], [10, 1]], 191/1658880],
[[[1, 3], [2, 9], [4, 2], [5, 1], [8, 1]], 1/1382400],
[[[1, 3], [2, 9], [4, 2], [5, 1], [10, 1]], 1/102400],
[[[1, 3], [2, 9], [4, 2], [6, 2], [10, 1]], 3379/33177600],
[[[1, 3], [2, 9], [4, 3], [6, 1], [8, 1]], 47/2211840],
[[[1, 3], [2, 9], [4, 3], [6, 1], [10, 1]], 13/460800],
[[[1, 3], [2, 9], [5, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 3]], 3253/537477120],
[[[1, 3], [2, 11], [3, 1], [4, 2], [6, 2]], 1/1327104],
[[[1, 3], [2, 11], [3, 1], [4, 3], [6, 1]], 43/49766400],
[[[1, 3], [2, 11], [3, 1], [6, 2], [10, 1]], 283/74649600],
[[[1, 3], [2, 11], [3, 2], [4, 1], [6, 2]], 77/132710400],
[[[1, 3], [2, 11], [3, 2], [6, 1], [10, 1]], 1/373248000],
[[[1, 3], [2, 11], [4, 1], [5, 1], [10, 1]], 1/3686400],
[[[1, 3], [2, 11], [4, 1], [6, 2], [10, 1]], 59/1382400],
[[[1, 3], [2, 11], [4, 2], [6, 1], [10, 1]], 29/1990656],
[[[1, 3], [2, 13], [3, 1], [4, 1], [6, 2]], 931/3583180800],
[[[1, 3], [2, 13], [3, 1], [4, 1], [10, 1]], 1/497664000],
[[[1, 3], [2, 13], [3, 1], [4, 2], [6, 1]], 11/1061683200],
[[[1, 3], [2, 13], [3, 1], [6, 1], [10, 1]], 209/2388787200],
[[[1, 3], [2, 13], [4, 1], [6, 1], [10, 1]], 109/33177600],
[[[1, 3], [2, 15], [3, 1], [4, 1], [6, 1]], 197/57330892800],
[[[1, 4], [2, 2], [3, 1], [4, 4], [8, 2]], 1/3072],
[[[1, 4], [2, 2], [3, 1], [4, 4], [12, 2]], 5/6912],
[[[1, 4], [2, 2], [3, 1], [4, 4], [20, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [4, 6], [8, 1]], 1/8640],
[[[1, 4], [2, 2], [3, 1], [4, 6], [12, 1]], 1/3456],
[[[1, 4], [2, 2], [3, 1], [6, 2], [9, 2]], 1/41472],
[[[1, 4], [2, 2], [3, 1], [9, 2], [12, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 2], [4, 1], [9, 2]], 1/2592],
[[[1, 4], [2, 2], [3, 2], [4, 3], [5, 2]], 1/230400],
[[[1, 4], [2, 2], [3, 2], [4, 3], [6, 4]], 1/331776],
[[[1, 4], [2, 2], [3, 2], [4, 3], [8, 2]], 1/18432],
[[[1, 4], [2, 2], [3, 2], [5, 3], [6, 1]], 1/162000],
[[[1, 4], [2, 2], [3, 2], [6, 1], [9, 2]], 5/11664],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 5]], 1/124416],
[[[1, 4], [2, 2], [3, 3], [4, 2], [6, 4]], 1/248832],
[[[1, 4], [2, 2], [3, 3], [4, 3], [6, 3]], 1/331776],
[[[1, 4], [2, 2], [3, 3], [5, 1], [6, 4]], 17/103680],
[[[1, 4], [2, 2], [3, 3], [5, 1], [15, 1]], 17/11520],
[[[1, 4], [2, 2], [3, 3], [5, 2], [6, 2]], 1/43200],
[[[1, 4], [2, 2], [3, 3], [6, 2], [10, 2]], 1/43200],
[[[1, 4], [2, 2], [3, 3], [6, 2], [12, 2]], 1/1728],
[[[1, 4], [2, 2], [3, 3], [6, 3], [9, 1]], 1/5184],
[[[1, 4], [2, 2], [3, 3], [6, 3], [18, 1]], 1/2592],
[[[1, 4], [2, 2], [3, 3], [6, 4], [8, 1]], 1/93312],
[[[1, 4], [2, 2], [3, 3], [6, 4], [10, 1]], 1/77760],
[[[1, 4], [2, 2], [3, 3], [9, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 4]], 5/186624],
[[[1, 4], [2, 2], [3, 4], [4, 3], [5, 1]], 1/829440],
[[[1, 4], [2, 2], [3, 4], [5, 1], [6, 3]], 1/12960],
[[[1, 4], [2, 2], [3, 4], [5, 2], [6, 1]], 1/388800],
[[[1, 4], [2, 2], [3, 4], [6, 2], [9, 1]], 1/864],
[[[1, 4], [2, 2], [3, 4], [6, 3], [8, 1]], 1/10368],
[[[1, 4], [2, 2], [3, 4], [6, 3], [12, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 5], [4, 1], [6, 3]], 1/62208],
[[[1, 4], [2, 2], [3, 5], [4, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 2], [3, 5], [4, 2], [6, 2]], 1/746496],
[[[1, 4], [2, 2], [3, 5], [4, 3], [6, 1]], 1/995328],
[[[1, 4], [2, 2], [3, 5], [5, 1], [6, 2]], 31/311040],
[[[1, 4], [2, 2], [3, 5], [6, 1], [9, 1]], 47/46656],
[[[1, 4], [2, 2], [3, 5], [6, 2], [12, 1]], 1/3456],
[[[1, 4], [2, 2], [3, 6], [4, 2], [6, 1]], 1/746496],
[[[1, 4], [2, 2], [3, 6], [5, 1], [6, 1]], 1/2099520],
[[[1, 4], [2, 2], [3, 7], [4, 1], [6, 1]], 1/1119744],
[[[1, 4], [2, 2], [4, 1], [5, 2], [10, 2]], 1/8000],
[[[1, 4], [2, 2], [4, 1], [8, 2], [16, 1]], 1/1536],
[[[1, 4], [2, 2], [4, 1], [8, 2], [24, 1]], 1/1152],
[[[1, 4], [2, 2], [4, 3], [5, 1], [8, 2]], 1/5120],
[[[1, 4], [2, 2], [4, 3], [8, 1], [12, 2]], 1/9216],
[[[1, 4], [2, 2], [4, 3], [8, 1], [16, 1]], 1/512],
[[[1, 4], [2, 2], [4, 3], [8, 1], [20, 1]], 1/2560],
[[[1, 4], [2, 2], [4, 3], [12, 1], [20, 1]], 1/1920],
[[[1, 4], [2, 2], [4, 5], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 2], [6, 3], [9, 1], [18, 1]], 1/41472],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 6]], 1/3359232],
[[[1, 4], [2, 4], [3, 1], [4, 1], [10, 3]], 1/72000],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 5]], 37/5971968],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 4]], 1/165888],
[[[1, 4], [2, 4], [3, 1], [4, 3], [8, 2]], 19/18432],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 3]], 5/663552],
[[[1, 4], [2, 4], [3, 1], [5, 3], [6, 1]], 1/144000],
[[[1, 4], [2, 4], [3, 1], [6, 1], [9, 2]], 1/10368],
[[[1, 4], [2, 4], [3, 1], [6, 1], [10, 3]], 1/144000],
[[[1, 4], [2, 4], [3, 1], [6, 1], [18, 2]], 1/10368],
[[[1, 4], [2, 4], [3, 1], [6, 3], [10, 2]], 1/172800],
[[[1, 4], [2, 4], [3, 1], [6, 4], [18, 1]], 1/41472],
[[[1, 4], [2, 4], [3, 1], [6, 5], [10, 1]], 1/622080],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 5]], 23/186624],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 4]], 5/73728],
[[[1, 4], [2, 4], [3, 2], [4, 2], [8, 2]], 1/12288],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 3]], 29/746496],
[[[1, 4], [2, 4], [3, 2], [4, 4], [5, 1]], 1/368640],
[[[1, 4], [2, 4], [3, 2], [4, 4], [6, 2]], 107/3981312],
[[[1, 4], [2, 4], [3, 2], [4, 4], [8, 1]], 11/221184],
[[[1, 4], [2, 4], [3, 2], [4, 4], [10, 1]], 1/138240],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 4]], 7/25920],
[[[1, 4], [2, 4], [3, 2], [5, 1], [10, 2]], 1/2880],
[[[1, 4], [2, 4], [3, 2], [5, 1], [15, 1]], 1/5760],
[[[1, 4], [2, 4], [3, 2], [5, 2], [6, 2]], 41/691200],
[[[1, 4], [2, 4], [3, 2], [6, 2], [10, 2]], 41/691200],
[[[1, 4], [2, 4], [3, 2], [6, 2], [12, 2]], 1/3072],
[[[1, 4], [2, 4], [3, 2], [6, 3], [9, 1]], 1/41472],
[[[1, 4], [2, 4], [3, 2], [6, 3], [18, 1]], 1/2592],
[[[1, 4], [2, 4], [3, 2], [6, 4], [8, 1]], 1/82944],
[[[1, 4], [2, 4], [3, 2], [6, 4], [10, 1]], 41/1244160],
[[[1, 4], [2, 4], [3, 2], [9, 1], [18, 1]], 5/10368],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 4]], 19/41472],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 3]], 269/995328],
[[[1, 4], [2, 4], [3, 3], [4, 3], [6, 2]], 29/746496],
[[[1, 4], [2, 4], [3, 3], [4, 3], [8, 1]], 1/27648],
[[[1, 4], [2, 4], [3, 3], [4, 3], [10, 1]], 1/103680],
[[[1, 4], [2, 4], [3, 3], [4, 4], [6, 1]], 5/663552],
[[[1, 4], [2, 4], [3, 3], [5, 1], [6, 3]], 281/622080],
[[[1, 4], [2, 4], [3, 3], [5, 2], [6, 1]], 1/172800],
[[[1, 4], [2, 4], [3, 3], [6, 2], [9, 1]], 1/2592],
[[[1, 4], [2, 4], [3, 3], [6, 2], [18, 1]], 1/41472],
[[[1, 4], [2, 4], [3, 3], [6, 3], [8, 1]], 89/373248],
[[[1, 4], [2, 4], [3, 3], [6, 3], [10, 1]], 281/622080],
[[[1, 4], [2, 4], [3, 3], [6, 3], [12, 1]], 1/3456],
[[[1, 4], [2, 4], [3, 4], [4, 1], [6, 3]], 19/41472],
[[[1, 4], [2, 4], [3, 4], [4, 2], [6, 2]], 5/73728],
[[[1, 4], [2, 4], [3, 4], [4, 3], [6, 1]], 1/165888],
[[[1, 4], [2, 4], [3, 4], [5, 1], [6, 2]], 41/1244160],
[[[1, 4], [2, 4], [3, 4], [6, 1], [9, 1]], 1/41472],
[[[1, 4], [2, 4], [3, 4], [6, 2], [8, 1]], 1/82944],
[[[1, 4], [2, 4], [3, 4], [6, 2], [10, 1]], 7/25920],
[[[1, 4], [2, 4], [3, 5], [4, 1], [6, 2]], 23/186624],
[[[1, 4], [2, 4], [3, 5], [4, 2], [6, 1]], 37/5971968],
[[[1, 4], [2, 4], [3, 5], [5, 1], [6, 1]], 1/622080],
[[[1, 4], [2, 4], [3, 6], [4, 1], [6, 1]], 1/3359232],
[[[1, 4], [2, 4], [4, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 2]], 3/10240],
[[[1, 4], [2, 4], [4, 2], [5, 1], [10, 2]], 3/12800],
[[[1, 4], [2, 4], [4, 2], [5, 2], [10, 1]], 3/12800],
[[[1, 4], [2, 4], [4, 2], [6, 2], [8, 2]], 1/12288],
[[[1, 4], [2, 4], [4, 2], [8, 1], [12, 2]], 1/6144],
[[[1, 4], [2, 4], [4, 2], [8, 1], [16, 1]], 1/256],
[[[1, 4], [2, 4], [4, 2], [8, 1], [20, 1]], 3/5120],
[[[1, 4], [2, 4], [4, 2], [8, 2], [10, 1]], 3/10240],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 3]], 1/103680],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 2]], 19/18432],
[[[1, 4], [2, 4], [4, 3], [6, 3], [8, 1]], 1/27648],
[[[1, 4], [2, 4], [4, 4], [5, 1], [6, 2]], 1/138240],
[[[1, 4], [2, 4], [4, 4], [5, 1], [8, 1]], 11/61440],
[[[1, 4], [2, 4], [4, 4], [5, 1], [10, 1]], 1/38400],
[[[1, 4], [2, 4], [4, 4], [6, 2], [8, 1]], 11/221184],
[[[1, 4], [2, 4], [4, 4], [6, 2], [10, 1]], 1/368640],
[[[1, 4], [2, 4], [4, 4], [8, 1], [10, 1]], 11/61440],
[[[1, 4], [2, 4], [4, 4], [8, 1], [12, 1]], 1/384],
[[[1, 4], [2, 4], [5, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 4], [2, 4], [5, 2], [6, 2], [10, 1]], 1/2880],
[[[1, 4], [2, 4], [5, 2], [8, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 4], [6, 2], [9, 1], [18, 1]], 5/10368],
[[[1, 4], [2, 4], [6, 2], [10, 1], [30, 1]], 1/5760],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 5]], 14351/89579520],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 4]], 421/2985984],
[[[1, 4], [2, 6], [3, 1], [4, 2], [8, 2]], 23/829440],
[[[1, 4], [2, 6], [3, 1], [4, 2], [10, 2]], 1/76800],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 3]], 89/663552],
[[[1, 4], [2, 6], [3, 1], [4, 4], [6, 2]], 79/1327104],
[[[1, 4], [2, 6], [3, 1], [4, 4], [8, 1]], 1/8192],
[[[1, 4], [2, 6], [3, 1], [4, 4], [10, 1]], 1/30720],
[[[1, 4], [2, 6], [3, 1], [4, 5], [6, 1]], 5/147456],
[[[1, 4], [2, 6], [3, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 4], [2, 6], [3, 1], [5, 2], [6, 2]], 1/172800],
[[[1, 4], [2, 6], [3, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 4], [2, 6], [3, 1], [6, 2], [10, 2]], 23/345600],
[[[1, 4], [2, 6], [3, 1], [6, 3], [18, 1]], 1/1728],
[[[1, 4], [2, 6], [3, 1], [6, 4], [10, 1]], 11/311040],
[[[1, 4], [2, 6], [3, 1], [6, 4], [12, 1]], 1/55296],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 2]], 1/2764800],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 4]], 13519/11943936],
[[[1, 4], [2, 6], [3, 2], [4, 1], [8, 2]], 1/110592],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 3]], 185/331776],
[[[1, 4], [2, 6], [3, 2], [4, 3], [6, 2]], 209/552960],
[[[1, 4], [2, 6], [3, 2], [4, 3], [8, 1]], 103/3317760],
[[[1, 4], [2, 6], [3, 2], [4, 3], [10, 1]], 1/82944],
[[[1, 4], [2, 6], [3, 2], [4, 4], [6, 1]], 119/3981312],
[[[1, 4], [2, 6], [3, 2], [5, 1], [6, 3]], 11/207360],
[[[1, 4], [2, 6], [3, 2], [5, 2], [6, 1]], 1/691200],
[[[1, 4], [2, 6], [3, 2], [6, 1], [10, 2]], 1/172800],
[[[1, 4], [2, 6], [3, 2], [6, 2], [9, 1]], 1/20736],
[[[1, 4], [2, 6], [3, 2], [6, 2], [18, 1]], 5/10368],
[[[1, 4], [2, 6], [3, 2], [6, 3], [8, 1]], 5/41472],
[[[1, 4], [2, 6], [3, 2], [6, 3], [10, 1]], 7/46080],
[[[1, 4], [2, 6], [3, 2], [6, 3], [12, 1]], 5/27648],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 3]], 64397/59719680],
[[[1, 4], [2, 6], [3, 3], [4, 2], [6, 2]], 629/1990656],
[[[1, 4], [2, 6], [3, 3], [4, 2], [8, 1]], 1/165888],
[[[1, 4], [2, 6], [3, 3], [4, 3], [6, 1]], 419/11943936],
[[[1, 4], [2, 6], [3, 3], [5, 1], [6, 2]], 23/829440],
[[[1, 4], [2, 6], [3, 3], [5, 1], [10, 1]], 1/103680],
[[[1, 4], [2, 6], [3, 3], [6, 2], [8, 1]], 43/1866240],
[[[1, 4], [2, 6], [3, 3], [6, 2], [10, 1]], 301/3110400],
[[[1, 4], [2, 6], [3, 3], [6, 2], [12, 1]], 1/55296],
[[[1, 4], [2, 6], [3, 4], [4, 1], [5, 1]], 1/9953280],
[[[1, 4], [2, 6], [3, 4], [4, 1], [6, 2]], 61/1105920],
[[[1, 4], [2, 6], [3, 4], [4, 2], [6, 1]], 1/995328],
[[[1, 4], [2, 6], [3, 4], [5, 1], [6, 1]], 1/1244160],
[[[1, 4], [2, 6], [3, 5], [4, 1], [6, 1]], 13/11943936],
[[[1, 4], [2, 6], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 4], [2, 6], [4, 1], [5, 1], [10, 2]], 19/76800],
[[[1, 4], [2, 6], [4, 1], [5, 2], [10, 1]], 53/576000],
[[[1, 4], [2, 6], [4, 1], [6, 2], [8, 2]], 1/110592],
[[[1, 4], [2, 6], [4, 1], [6, 2], [10, 2]], 7/460800],
[[[1, 4], [2, 6], [4, 1], [6, 4], [10, 1]], 7/1658880],
[[[1, 4], [2, 6], [4, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 6], [4, 2], [5, 2], [6, 1]], 1/76800],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 2]], 11/18432],
[[[1, 4], [2, 6], [4, 2], [6, 1], [10, 2]], 43/460800],
[[[1, 4], [2, 6], [4, 2], [6, 3], [8, 1]], 7/165888],
[[[1, 4], [2, 6], [4, 2], [6, 3], [10, 1]], 43/829440],
[[[1, 4], [2, 6], [4, 3], [5, 1], [6, 2]], 1/46080],
[[[1, 4], [2, 6], [4, 3], [5, 1], [8, 1]], 103/921600],
[[[1, 4], [2, 6], [4, 3], [5, 1], [10, 1]], 11/46080],
[[[1, 4], [2, 6], [4, 3], [6, 2], [8, 1]], 341/1327104],
[[[1, 4], [2, 6], [4, 3], [6, 2], [10, 1]], 13/276480],
[[[1, 4], [2, 6], [4, 3], [8, 1], [10, 1]], 149/368640],
[[[1, 4], [2, 6], [4, 3], [8, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 6], [4, 4], [5, 1], [6, 1]], 1/55296],
[[[1, 4], [2, 6], [4, 4], [6, 1], [8, 1]], 79/110592],
[[[1, 4], [2, 6], [4, 4], [6, 1], [10, 1]], 1/24576],
[[[1, 4], [2, 6], [4, 4], [6, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 6], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 6], [5, 1], [6, 3], [10, 1]], 1/103680],
[[[1, 4], [2, 6], [5, 2], [6, 1], [10, 1]], 1/7200],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 4]], 9187/89579520],
[[[1, 4], [2, 8], [3, 1], [4, 1], [8, 2]], 1/552960],
[[[1, 4], [2, 8], [3, 1], [4, 1], [10, 2]], 1/216000],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 3]], 2393/13271040],
[[[1, 4], [2, 8], [3, 1], [4, 3], [5, 1]], 1/4147200],
[[[1, 4], [2, 8], [3, 1], [4, 3], [6, 2]], 673/3317760],
[[[1, 4], [2, 8], [3, 1], [4, 3], [8, 1]], 5/221184],
[[[1, 4], [2, 8], [3, 1], [4, 4], [6, 1]], 239/2654208],
[[[1, 4], [2, 8], [3, 1], [5, 2], [6, 1]], 1/5529600],
[[[1, 4], [2, 8], [3, 1], [6, 1], [10, 2]], 599/27648000],
[[[1, 4], [2, 8], [3, 1], [6, 3], [10, 1]], 1453/16588800],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 3]], 49/248832],
[[[1, 4], [2, 8], [3, 2], [4, 2], [5, 1]], 1/4423680],
[[[1, 4], [2, 8], [3, 2], [4, 2], [6, 2]], 787/3317760],
[[[1, 4], [2, 8], [3, 2], [4, 2], [8, 1]], 17/3317760],
[[[1, 4], [2, 8], [3, 2], [4, 3], [6, 1]], 79/9953280],
[[[1, 4], [2, 8], [3, 2], [5, 1], [6, 2]], 131/33177600],
[[[1, 4], [2, 8], [3, 2], [5, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 8], [3, 2], [6, 2], [8, 1]], 23/1658880],
[[[1, 4], [2, 8], [3, 2], [6, 2], [10, 1]], 569/33177600],
[[[1, 4], [2, 8], [3, 3], [4, 1], [6, 2]], 97/1866240],
[[[1, 4], [2, 8], [3, 3], [4, 1], [8, 1]], 1/2488320],
[[[1, 4], [2, 8], [3, 3], [4, 2], [6, 1]], 241/39813120],
[[[1, 4], [2, 8], [3, 3], [5, 1], [6, 1]], 1/9953280],
[[[1, 4], [2, 8], [3, 3], [6, 1], [8, 1]], 1/3732480],
[[[1, 4], [2, 8], [3, 4], [4, 1], [6, 1]], 31/29859840],
[[[1, 4], [2, 8], [4, 1], [6, 1], [8, 2]], 1/110592],
[[[1, 4], [2, 8], [4, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 4], [2, 8], [4, 1], [6, 3], [10, 1]], 1/8640],
[[[1, 4], [2, 8], [4, 2], [5, 1], [8, 1]], 13/921600],
[[[1, 4], [2, 8], [4, 2], [5, 1], [10, 1]], 23/307200],
[[[1, 4], [2, 8], [4, 2], [6, 2], [8, 1]], 11/221184],
[[[1, 4], [2, 8], [4, 2], [6, 2], [10, 1]], 73/368640],
[[[1, 4], [2, 8], [4, 2], [8, 1], [10, 1]], 1/36864],
[[[1, 4], [2, 8], [4, 3], [5, 1], [6, 1]], 49/2764800],
[[[1, 4], [2, 8], [4, 3], [6, 1], [8, 1]], 623/3317760],
[[[1, 4], [2, 8], [4, 3], [6, 1], [10, 1]], 31/276480],
[[[1, 4], [2, 8], [5, 1], [6, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 8], [5, 1], [8, 1], [10, 1]], 1/153600],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 3]], 5293/134369280],
[[[1, 4], [2, 10], [3, 1], [4, 2], [6, 2]], 2291/59719680],
[[[1, 4], [2, 10], [3, 1], [4, 2], [8, 1]], 11/6635520],
[[[1, 4], [2, 10], [3, 1], [4, 2], [10, 1]], 1/5529600],
[[[1, 4], [2, 10], [3, 1], [4, 3], [6, 1]], 1627/106168320],
[[[1, 4], [2, 10], [3, 1], [5, 1], [10, 1]], 1/2073600],
[[[1, 4], [2, 10], [3, 1], [6, 2], [10, 1]], 61/3110400],
[[[1, 4], [2, 10], [3, 2], [4, 1], [6, 2]], 133/11943936],
[[[1, 4], [2, 10], [3, 2], [4, 1], [8, 1]], 1/19906560],
[[[1, 4], [2, 10], [3, 2], [4, 2], [6, 1]], 79/26542080],
[[[1, 4], [2, 10], [3, 2], [6, 1], [10, 1]], 1/12441600],
[[[1, 4], [2, 10], [3, 3], [4, 1], [6, 1]], 47/238878720],
[[[1, 4], [2, 10], [4, 1], [5, 1], [8, 1]], 1/5529600],
[[[1, 4], [2, 10], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 4], [2, 10], [4, 1], [6, 2], [10, 1]], 209/1843200],
[[[1, 4], [2, 10], [4, 2], [6, 1], [8, 1]], 19/2211840],
[[[1, 4], [2, 10], [4, 2], [6, 1], [10, 1]], 821/11059200],
[[[1, 4], [2, 10], [5, 1], [6, 1], [10, 1]], 1/691200],
[[[1, 4], [2, 12], [3, 1], [4, 1], [6, 2]], 727/223948800],
[[[1, 4], [2, 12], [3, 1], [4, 1], [10, 1]], 31/497664000],
[[[1, 4], [2, 12], [3, 1], [4, 2], [6, 1]], 4391/4777574400],
[[[1, 4], [2, 12], [3, 1], [6, 1], [10, 1]], 209/248832000],
[[[1, 4], [2, 12], [3, 2], [4, 1], [6, 1]], 1/597196800],
[[[1, 4], [2, 12], [4, 1], [6, 1], [10, 1]], 583/33177600],
[[[1, 4], [2, 14], [3, 1], [4, 1], [6, 1]], 3941/57330892800],
[[[1, 4], [3, 2], [5, 1], [6, 2], [15, 1]], 1/12960],
[[[1, 4], [3, 2], [5, 1], [12, 1], [15, 1]], 1/2160],
[[[1, 4], [3, 3], [5, 1], [6, 2], [9, 1]], 1/12960],
[[[1, 4], [3, 3], [5, 1], [9, 1], [12, 1]], 1/2160],
[[[1, 4], [3, 3], [6, 1], [9, 1], [18, 1]], 1/2592],
[[[1, 4], [3, 4], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 5], [2, 1], [3, 1], [4, 2], [5, 3]], 1/144000],
[[[1, 5], [2, 1], [3, 1], [6, 2], [9, 2]], 1/124416],
[[[1, 5], [2, 1], [3, 1], [9, 2], [12, 1]], 1/20736],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 3]], 1/72000],
[[[1, 5], [2, 1], [3, 2], [4, 1], [9, 2]], 1/10368],
[[[1, 5], [2, 1], [3, 2], [4, 3], [5, 2]], 1/230400],
[[[1, 5], [2, 1], [3, 2], [5, 3], [6, 1]], 1/54000],
[[[1, 5], [2, 1], [3, 2], [6, 1], [9, 2]], 1/7776],
[[[1, 5], [2, 1], [3, 3], [4, 2], [5, 2]], 1/172800],
[[[1, 5], [2, 1], [3, 3], [4, 3], [6, 3]], 1/331776],
[[[1, 5], [2, 1], [3, 3], [5, 1], [15, 1]], 11/11520],
[[[1, 5], [2, 1], [3, 3], [6, 3], [9, 1]], 1/15552],
[[[1, 5], [2, 1], [3, 4], [4, 1], [5, 2]], 1/172800],
[[[1, 5], [2, 1], [3, 4], [4, 1], [6, 4]], 1/165888],
[[[1, 5], [2, 1], [3, 4], [4, 3], [5, 1]], 1/829440],
[[[1, 5], [2, 1], [3, 4], [5, 1], [6, 3]], 1/34560],
[[[1, 5], [2, 1], [3, 4], [5, 1], [9, 1]], 1/2160],
[[[1, 5], [2, 1], [3, 4], [5, 2], [6, 1]], 1/64800],
[[[1, 5], [2, 1], [3, 4], [6, 2], [9, 1]], 1/15552],
[[[1, 5], [2, 1], [3, 4], [6, 3], [8, 1]], 1/31104],
[[[1, 5], [2, 1], [3, 4], [6, 3], [10, 1]], 1/77760],
[[[1, 5], [2, 1], [3, 4], [9, 1], [12, 1]], 1/2592],
[[[1, 5], [2, 1], [3, 5], [4, 1], [6, 3]], 1/124416],
[[[1, 5], [2, 1], [3, 5], [4, 1], [9, 1]], 1/20736],
[[[1, 5], [2, 1], [3, 5], [4, 2], [5, 1]], 1/622080],
[[[1, 5], [2, 1], [3, 5], [6, 1], [9, 1]], 7/15552],
[[[1, 5], [2, 1], [3, 6], [4, 1], [5, 1]], 1/933120],
[[[1, 5], [2, 1], [3, 6], [4, 2], [6, 1]], 1/2239488],
[[[1, 5], [2, 1], [3, 6], [5, 1], [6, 1]], 31/933120],
[[[1, 5], [2, 1], [3, 6], [6, 1], [12, 1]], 1/17280],
[[[1, 5], [2, 1], [4, 3], [8, 1], [12, 2]], 1/110592],
[[[1, 5], [2, 1], [4, 3], [8, 1], [20, 1]], 1/30720],
[[[1, 5], [2, 1], [4, 3], [12, 1], [20, 1]], 1/23040],
[[[1, 5], [2, 1], [4, 5], [8, 1], [12, 1]], 1/110592],
[[[1, 5], [2, 1], [6, 3], [9, 1], [18, 1]], 1/622080],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 2]], 1/76800],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 2]], 1/1152],
[[[1, 5], [2, 3], [3, 1], [4, 3], [12, 2]], 1/20736],
[[[1, 5], [2, 3], [3, 1], [4, 3], [20, 1]], 1/5760],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 3]], 1/442368],
[[[1, 5], [2, 3], [3, 1], [4, 5], [8, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 1], [4, 5], [12, 1]], 5/10368],
[[[1, 5], [2, 3], [3, 1], [5, 3], [6, 1]], 1/34560],
[[[1, 5], [2, 3], [3, 1], [6, 1], [9, 2]], 5/31104],
[[[1, 5], [2, 3], [3, 1], [6, 1], [10, 3]], 1/1728000],
[[[1, 5], [2, 3], [3, 1], [6, 1], [18, 2]], 1/62208],
[[[1, 5], [2, 3], [3, 1], [6, 3], [10, 2]], 1/2073600],
[[[1, 5], [2, 3], [3, 1], [6, 5], [10, 1]], 1/7464960],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 5]], 1/373248],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 2]], 37/1382400],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 4]], 49/1990656],
[[[1, 5], [2, 3], [3, 2], [4, 2], [8, 2]], 7/110592],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 3]], 1/110592],
[[[1, 5], [2, 3], [3, 2], [4, 4], [5, 1]], 1/184320],
[[[1, 5], [2, 3], [3, 2], [4, 4], [6, 2]], 67/3981312],
[[[1, 5], [2, 3], [3, 2], [4, 4], [8, 1]], 11/221184],
[[[1, 5], [2, 3], [3, 2], [4, 4], [10, 1]], 1/276480],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 4]], 1/311040],
[[[1, 5], [2, 3], [3, 2], [5, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 3], [3, 2], [5, 1], [15, 1]], 1/1728],
[[[1, 5], [2, 3], [3, 2], [5, 2], [6, 2]], 1/41472],
[[[1, 5], [2, 3], [3, 2], [6, 2], [10, 2]], 1/115200],
[[[1, 5], [2, 3], [3, 2], [6, 2], [12, 2]], 1/4608],
[[[1, 5], [2, 3], [3, 2], [6, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 3], [3, 2], [6, 4], [8, 1]], 1/248832],
[[[1, 5], [2, 3], [3, 2], [6, 4], [10, 1]], 1/207360],
[[[1, 5], [2, 3], [3, 2], [9, 1], [18, 1]], 1/3456],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 4]], 65/373248],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 3]], 2573/14929920],
[[[1, 5], [2, 3], [3, 3], [4, 3], [5, 1]], 1/138240],
[[[1, 5], [2, 3], [3, 3], [4, 3], [6, 2]], 11/995328],
[[[1, 5], [2, 3], [3, 3], [4, 3], [8, 1]], 1/27648],
[[[1, 5], [2, 3], [3, 3], [4, 4], [6, 1]], 11/1327104],
[[[1, 5], [2, 3], [3, 3], [5, 1], [6, 3]], 317/497664],
[[[1, 5], [2, 3], [3, 3], [5, 2], [6, 1]], 1/41472],
[[[1, 5], [2, 3], [3, 3], [6, 2], [9, 1]], 161/124416],
[[[1, 5], [2, 3], [3, 3], [6, 3], [8, 1]], 17/248832],
[[[1, 5], [2, 3], [3, 3], [6, 3], [10, 1]], 89/1244160],
[[[1, 5], [2, 3], [3, 3], [6, 3], [12, 1]], 1/20736],
[[[1, 5], [2, 3], [3, 3], [9, 1], [12, 1]], 1/20736],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 3]], 35/165888],
[[[1, 5], [2, 3], [3, 4], [4, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 3], [3, 4], [4, 2], [5, 1]], 37/4976640],
[[[1, 5], [2, 3], [3, 4], [4, 2], [6, 2]], 47/663552],
[[[1, 5], [2, 3], [3, 4], [4, 3], [6, 1]], 1/62208],
[[[1, 5], [2, 3], [3, 4], [5, 1], [6, 2]], 1177/1866240],
[[[1, 5], [2, 3], [3, 4], [6, 1], [9, 1]], 169/124416],
[[[1, 5], [2, 3], [3, 4], [6, 2], [8, 1]], 1/27648],
[[[1, 5], [2, 3], [3, 4], [6, 2], [10, 1]], 1/11520],
[[[1, 5], [2, 3], [3, 4], [6, 2], [12, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 5], [4, 1], [6, 2]], 7/41472],
[[[1, 5], [2, 3], [3, 5], [4, 2], [6, 1]], 7/663552],
[[[1, 5], [2, 3], [3, 5], [5, 1], [6, 1]], 5/746496],
[[[1, 5], [2, 3], [3, 6], [4, 1], [6, 1]], 391/13436928],
[[[1, 5], [2, 3], [4, 1], [5, 3], [6, 1]], 1/72000],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 2]], 7/30720],
[[[1, 5], [2, 3], [4, 2], [5, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 3], [4, 2], [5, 2], [10, 1]], 3/12800],
[[[1, 5], [2, 3], [4, 2], [6, 2], [8, 2]], 1/110592],
[[[1, 5], [2, 3], [4, 2], [8, 1], [12, 2]], 1/9216],
[[[1, 5], [2, 3], [4, 2], [8, 1], [16, 1]], 1/1536],
[[[1, 5], [2, 3], [4, 2], [8, 1], [20, 1]], 1/2560],
[[[1, 5], [2, 3], [4, 2], [8, 2], [10, 1]], 1/30720],
[[[1, 5], [2, 3], [4, 4], [5, 1], [6, 2]], 1/276480],
[[[1, 5], [2, 3], [4, 4], [5, 1], [8, 1]], 11/61440],
[[[1, 5], [2, 3], [4, 4], [5, 1], [10, 1]], 1/76800],
[[[1, 5], [2, 3], [4, 4], [6, 2], [8, 1]], 1/73728],
[[[1, 5], [2, 3], [4, 4], [8, 1], [10, 1]], 1/20480],
[[[1, 5], [2, 3], [4, 4], [8, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 3], [5, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 5], [2, 3], [5, 2], [6, 2], [10, 1]], 1/86400],
[[[1, 5], [2, 3], [5, 2], [8, 1], [10, 1]], 1/19200],
[[[1, 5], [2, 3], [6, 2], [9, 1], [18, 1]], 23/155520],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 5]], 37/5971968],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 4]], 31/331776],
[[[1, 5], [2, 5], [3, 1], [4, 2], [8, 2]], 7/27648],
[[[1, 5], [2, 5], [3, 1], [4, 2], [10, 2]], 1/38400],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 3]], 37/331776],
[[[1, 5], [2, 5], [3, 1], [4, 4], [5, 1]], 11/368640],
[[[1, 5], [2, 5], [3, 1], [4, 4], [6, 2]], 295/3981312],
[[[1, 5], [2, 5], [3, 1], [4, 4], [8, 1]], 1/3072],
[[[1, 5], [2, 5], [3, 1], [4, 4], [10, 1]], 13/276480],
[[[1, 5], [2, 5], [3, 1], [4, 5], [6, 1]], 5/98304],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 4]], 1/38880],
[[[1, 5], [2, 5], [3, 1], [5, 1], [10, 2]], 7/21600],
[[[1, 5], [2, 5], [3, 1], [5, 2], [6, 2]], 1/57600],
[[[1, 5], [2, 5], [3, 1], [5, 2], [10, 1]], 1/9600],
[[[1, 5], [2, 5], [3, 1], [6, 2], [10, 2]], 41/2073600],
[[[1, 5], [2, 5], [3, 1], [6, 3], [18, 1]], 5/31104],
[[[1, 5], [2, 5], [3, 1], [6, 4], [10, 1]], 13/1244160],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 2]], 13/2764800],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 4]], 4295/5971968],
[[[1, 5], [2, 5], [3, 2], [4, 1], [8, 2]], 1/36864],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 3]], 259/331776],
[[[1, 5], [2, 5], [3, 2], [4, 3], [5, 1]], 19/1105920],
[[[1, 5], [2, 5], [3, 2], [4, 3], [6, 2]], 367/663552],
[[[1, 5], [2, 5], [3, 2], [4, 3], [8, 1]], 17/73728],
[[[1, 5], [2, 5], [3, 2], [4, 3], [10, 1]], 1/17280],
[[[1, 5], [2, 5], [3, 2], [4, 4], [6, 1]], 295/3981312],
[[[1, 5], [2, 5], [3, 2], [5, 1], [6, 3]], 5/41472],
[[[1, 5], [2, 5], [3, 2], [5, 2], [6, 1]], 41/2073600],
[[[1, 5], [2, 5], [3, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 5], [2, 5], [3, 2], [6, 2], [9, 1]], 1/3456],
[[[1, 5], [2, 5], [3, 2], [6, 2], [18, 1]], 1/3456],
[[[1, 5], [2, 5], [3, 2], [6, 3], [8, 1]], 1/13824],
[[[1, 5], [2, 5], [3, 2], [6, 3], [10, 1]], 1/9216],
[[[1, 5], [2, 5], [3, 2], [6, 3], [12, 1]], 1/9216],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 3]], 10807/5971968],
[[[1, 5], [2, 5], [3, 3], [4, 2], [6, 2]], 259/331776],
[[[1, 5], [2, 5], [3, 3], [4, 2], [8, 1]], 1/18432],
[[[1, 5], [2, 5], [3, 3], [4, 2], [10, 1]], 1/34560],
[[[1, 5], [2, 5], [3, 3], [4, 3], [6, 1]], 37/331776],
[[[1, 5], [2, 5], [3, 3], [5, 1], [6, 2]], 1/9216],
[[[1, 5], [2, 5], [3, 3], [5, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 5], [3, 3], [6, 1], [9, 1]], 5/31104],
[[[1, 5], [2, 5], [3, 3], [6, 2], [8, 1]], 1/13824],
[[[1, 5], [2, 5], [3, 3], [6, 2], [10, 1]], 5/41472],
[[[1, 5], [2, 5], [3, 3], [6, 2], [12, 1]], 1/9216],
[[[1, 5], [2, 5], [3, 4], [4, 1], [5, 1]], 13/9953280],
[[[1, 5], [2, 5], [3, 4], [4, 1], [6, 2]], 4295/5971968],
[[[1, 5], [2, 5], [3, 4], [4, 2], [6, 1]], 31/331776],
[[[1, 5], [2, 5], [3, 4], [5, 1], [6, 1]], 13/1244160],
[[[1, 5], [2, 5], [3, 4], [6, 1], [10, 1]], 1/38880],
[[[1, 5], [2, 5], [3, 5], [4, 1], [6, 1]], 37/5971968],
[[[1, 5], [2, 5], [4, 1], [5, 1], [8, 2]], 1/10240],
[[[1, 5], [2, 5], [4, 1], [5, 1], [10, 2]], 11/38400],
[[[1, 5], [2, 5], [4, 1], [5, 2], [10, 1]], 11/38400],
[[[1, 5], [2, 5], [4, 1], [6, 2], [8, 2]], 1/36864],
[[[1, 5], [2, 5], [4, 1], [6, 2], [10, 2]], 13/2764800],
[[[1, 5], [2, 5], [4, 1], [6, 4], [10, 1]], 13/9953280],
[[[1, 5], [2, 5], [4, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 5], [2, 5], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 2]], 7/27648],
[[[1, 5], [2, 5], [4, 2], [6, 3], [8, 1]], 1/18432],
[[[1, 5], [2, 5], [4, 3], [5, 1], [6, 2]], 1/17280],
[[[1, 5], [2, 5], [4, 3], [5, 1], [8, 1]], 9/20480],
[[[1, 5], [2, 5], [4, 3], [5, 1], [10, 1]], 61/153600],
[[[1, 5], [2, 5], [4, 3], [6, 2], [8, 1]], 17/73728],
[[[1, 5], [2, 5], [4, 3], [6, 2], [10, 1]], 19/1105920],
[[[1, 5], [2, 5], [4, 3], [8, 1], [10, 1]], 9/20480],
[[[1, 5], [2, 5], [4, 3], [8, 1], [12, 1]], 1/2048],
[[[1, 5], [2, 5], [4, 4], [5, 1], [6, 1]], 13/276480],
[[[1, 5], [2, 5], [4, 4], [6, 1], [8, 1]], 1/3072],
[[[1, 5], [2, 5], [4, 4], [6, 1], [10, 1]], 11/368640],
[[[1, 5], [2, 5], [5, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 5], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 5], [2, 5], [5, 2], [6, 1], [10, 1]], 7/21600],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 2]], 1/921600],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 4]], 107/746496],
[[[1, 5], [2, 7], [3, 1], [4, 1], [8, 2]], 23/829440],
[[[1, 5], [2, 7], [3, 1], [4, 1], [10, 2]], 1/57600],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 3]], 2149/3981312],
[[[1, 5], [2, 7], [3, 1], [4, 3], [5, 1]], 1/276480],
[[[1, 5], [2, 7], [3, 1], [4, 3], [6, 2]], 307/497664],
[[[1, 5], [2, 7], [3, 1], [4, 3], [8, 1]], 4877/19906560],
[[[1, 5], [2, 7], [3, 1], [4, 3], [10, 1]], 61/552960],
[[[1, 5], [2, 7], [3, 1], [4, 4], [6, 1]], 57619/159252480],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 5], [2, 7], [3, 1], [5, 2], [6, 1]], 1/368640],
[[[1, 5], [2, 7], [3, 1], [6, 1], [10, 2]], 2771/82944000],
[[[1, 5], [2, 7], [3, 1], [6, 3], [8, 1]], 1/207360],
[[[1, 5], [2, 7], [3, 1], [6, 3], [10, 1]], 10831/149299200],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 3]], 12581/19906560],
[[[1, 5], [2, 7], [3, 2], [4, 2], [5, 1]], 7/2211840],
[[[1, 5], [2, 7], [3, 2], [4, 2], [6, 2]], 18001/19906560],
[[[1, 5], [2, 7], [3, 2], [4, 2], [8, 1]], 19/414720],
[[[1, 5], [2, 7], [3, 2], [4, 2], [10, 1]], 1/138240],
[[[1, 5], [2, 7], [3, 2], [4, 3], [6, 1]], 5/16384],
[[[1, 5], [2, 7], [3, 2], [5, 1], [6, 2]], 1811/33177600],
[[[1, 5], [2, 7], [3, 2], [5, 1], [10, 1]], 7/172800],
[[[1, 5], [2, 7], [3, 2], [6, 2], [8, 1]], 257/3317760],
[[[1, 5], [2, 7], [3, 2], [6, 2], [10, 1]], 3199/33177600],
[[[1, 5], [2, 7], [3, 3], [4, 1], [5, 1]], 1/1658880],
[[[1, 5], [2, 7], [3, 3], [4, 1], [6, 2]], 21097/59719680],
[[[1, 5], [2, 7], [3, 3], [4, 1], [8, 1]], 1/165888],
[[[1, 5], [2, 7], [3, 3], [4, 2], [6, 1]], 2153/39813120],
[[[1, 5], [2, 7], [3, 3], [5, 1], [6, 1]], 1/368640],
[[[1, 5], [2, 7], [3, 3], [6, 1], [8, 1]], 1/248832],
[[[1, 5], [2, 7], [3, 3], [6, 1], [10, 1]], 1/311040],
[[[1, 5], [2, 7], [3, 4], [4, 1], [6, 1]], 5/331776],
[[[1, 5], [2, 7], [4, 1], [5, 2], [6, 1]], 1/230400],
[[[1, 5], [2, 7], [4, 1], [6, 1], [8, 2]], 1/18432],
[[[1, 5], [2, 7], [4, 1], [6, 1], [10, 2]], 151/2764800],
[[[1, 5], [2, 7], [4, 1], [6, 3], [8, 1]], 1/165888],
[[[1, 5], [2, 7], [4, 1], [6, 3], [10, 1]], 151/4976640],
[[[1, 5], [2, 7], [4, 2], [5, 1], [6, 2]], 1/27648],
[[[1, 5], [2, 7], [4, 2], [5, 1], [8, 1]], 17/172800],
[[[1, 5], [2, 7], [4, 2], [5, 1], [10, 1]], 287/921600],
[[[1, 5], [2, 7], [4, 2], [6, 2], [8, 1]], 1/4096],
[[[1, 5], [2, 7], [4, 2], [6, 2], [10, 1]], 55/442368],
[[[1, 5], [2, 7], [4, 2], [8, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 7], [4, 3], [5, 1], [6, 1]], 47/552960],
[[[1, 5], [2, 7], [4, 3], [6, 1], [8, 1]], 317/442368],
[[[1, 5], [2, 7], [4, 3], [6, 1], [10, 1]], 233/1105920],
[[[1, 5], [2, 7], [5, 1], [6, 2], [10, 1]], 19/276480],
[[[1, 5], [2, 7], [5, 1], [8, 1], [10, 1]], 91/2764800],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 3]], 8803/59719680],
[[[1, 5], [2, 9], [3, 1], [4, 2], [5, 1]], 31/22118400],
[[[1, 5], [2, 9], [3, 1], [4, 2], [6, 2]], 725/2654208],
[[[1, 5], [2, 9], [3, 1], [4, 2], [8, 1]], 29/995328],
[[[1, 5], [2, 9], [3, 1], [4, 2], [10, 1]], 17/5529600],
[[[1, 5], [2, 9], [3, 1], [4, 3], [6, 1]], 6677/39813120],
[[[1, 5], [2, 9], [3, 1], [5, 1], [6, 2]], 37/8294400],
[[[1, 5], [2, 9], [3, 1], [5, 1], [10, 1]], 59/6220800],
[[[1, 5], [2, 9], [3, 1], [6, 2], [8, 1]], 1/207360],
[[[1, 5], [2, 9], [3, 1], [6, 2], [10, 1]], 887/18662400],
[[[1, 5], [2, 9], [3, 2], [4, 1], [5, 1]], 1/13271040],
[[[1, 5], [2, 9], [3, 2], [4, 1], [6, 2]], 1919/14929920],
[[[1, 5], [2, 9], [3, 2], [4, 1], [8, 1]], 47/19906560],
[[[1, 5], [2, 9], [3, 2], [4, 2], [6, 1]], 1327/26542080],
[[[1, 5], [2, 9], [3, 2], [5, 1], [6, 1]], 47/49766400],
[[[1, 5], [2, 9], [3, 2], [6, 1], [8, 1]], 1/1244160],
[[[1, 5], [2, 9], [3, 2], [6, 1], [10, 1]], 7/8294400],
[[[1, 5], [2, 9], [3, 3], [4, 1], [6, 1]], 353/59719680],
[[[1, 5], [2, 9], [4, 1], [5, 1], [8, 1]], 23/5529600],
[[[1, 5], [2, 9], [4, 1], [5, 1], [10, 1]], 59/1382400],
[[[1, 5], [2, 9], [4, 1], [6, 2], [8, 1]], 1/147456],
[[[1, 5], [2, 9], [4, 1], [6, 2], [10, 1]], 4403/33177600],
[[[1, 5], [2, 9], [4, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 5], [2, 9], [4, 2], [5, 1], [6, 1]], 59/5529600],
[[[1, 5], [2, 9], [4, 2], [6, 1], [8, 1]], 19/184320],
[[[1, 5], [2, 9], [4, 2], [6, 1], [10, 1]], 341/2211840],
[[[1, 5], [2, 9], [5, 1], [6, 1], [10, 1]], 13/691200],
[[[1, 5], [2, 11], [3, 1], [4, 1], [6, 2]], 2977/119439360],
[[[1, 5], [2, 11], [3, 1], [4, 1], [8, 1]], 1/3317760],
[[[1, 5], [2, 11], [3, 1], [4, 1], [10, 1]], 23/33177600],
[[[1, 5], [2, 11], [3, 1], [4, 2], [6, 1]], 3269/212336640],
[[[1, 5], [2, 11], [3, 1], [5, 1], [6, 1]], 79/796262400],
[[[1, 5], [2, 11], [3, 1], [6, 1], [8, 1]], 1/8294400],
[[[1, 5], [2, 11], [3, 1], [6, 1], [10, 1]], 8311/1990656000],
[[[1, 5], [2, 11], [3, 2], [4, 1], [6, 1]], 1727/1194393600],
[[[1, 5], [2, 11], [4, 1], [6, 1], [8, 1]], 1/1105920],
[[[1, 5], [2, 11], [4, 1], [6, 1], [10, 1]], 2359/49766400],
[[[1, 5], [2, 13], [3, 1], [4, 1], [6, 1]], 1579/1911029760],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 3]], 1/18000],
[[[1, 6], [2, 2], [3, 1], [4, 3], [5, 2]], 1/57600],
[[[1, 6], [2, 2], [3, 1], [4, 3], [8, 2]], 1/18432],
[[[1, 6], [2, 2], [3, 1], [5, 3], [6, 1]], 17/1296000],
[[[1, 6], [2, 2], [3, 1], [6, 1], [9, 2]], 23/466560],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 2]], 17/460800],
[[[1, 6], [2, 2], [3, 2], [4, 4], [5, 1]], 1/368640],
[[[1, 6], [2, 2], [3, 2], [4, 4], [6, 2]], 1/294912],
[[[1, 6], [2, 2], [3, 2], [4, 4], [8, 1]], 1/73728],
[[[1, 6], [2, 2], [3, 2], [5, 1], [15, 1]], 1/2880],
[[[1, 6], [2, 2], [3, 2], [5, 2], [6, 2]], 1/1382400],
[[[1, 6], [2, 2], [3, 2], [6, 2], [10, 2]], 1/1382400],
[[[1, 6], [2, 2], [3, 2], [6, 2], [12, 2]], 1/55296],
[[[1, 6], [2, 2], [3, 2], [6, 3], [9, 1]], 1/41472],
[[[1, 6], [2, 2], [3, 2], [6, 4], [8, 1]], 1/3732480],
[[[1, 6], [2, 2], [3, 2], [6, 4], [10, 1]], 1/2488320],
[[[1, 6], [2, 2], [3, 2], [9, 1], [18, 1]], 1/20736],
[[[1, 6], [2, 2], [3, 3], [4, 1], [5, 2]], 1/21600],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 4]], 1/93312],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 3]], 73/1990656],
[[[1, 6], [2, 2], [3, 3], [4, 3], [5, 1]], 1/103680],
[[[1, 6], [2, 2], [3, 3], [4, 4], [6, 1]], 1/331776],
[[[1, 6], [2, 2], [3, 3], [5, 1], [6, 3]], 1/103680],
[[[1, 6], [2, 2], [3, 3], [5, 2], [6, 1]], 89/1555200],
[[[1, 6], [2, 2], [3, 3], [6, 2], [9, 1]], 17/41472],
[[[1, 6], [2, 2], [3, 3], [6, 3], [8, 1]], 1/82944],
[[[1, 6], [2, 2], [3, 3], [6, 3], [10, 1]], 1/207360],
[[[1, 6], [2, 2], [3, 3], [9, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 2], [3, 4], [4, 1], [6, 3]], 11/165888],
[[[1, 6], [2, 2], [3, 4], [4, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 2], [3, 4], [4, 2], [5, 1]], 7/552960],
[[[1, 6], [2, 2], [3, 4], [4, 2], [6, 2]], 307/9953280],
[[[1, 6], [2, 2], [3, 4], [4, 3], [6, 1]], 1/497664],
[[[1, 6], [2, 2], [3, 4], [5, 1], [6, 2]], 299/829440],
[[[1, 6], [2, 2], [3, 4], [6, 1], [9, 1]], 457/373248],
[[[1, 6], [2, 2], [3, 4], [6, 2], [12, 1]], 1/6912],
[[[1, 6], [2, 2], [3, 5], [4, 1], [5, 1]], 1/77760],
[[[1, 6], [2, 2], [3, 5], [4, 1], [6, 2]], 1/829440],
[[[1, 6], [2, 2], [3, 5], [4, 1], [12, 1]], 1/138240],
[[[1, 6], [2, 2], [3, 5], [4, 2], [6, 1]], 17/5971968],
[[[1, 6], [2, 2], [3, 5], [5, 1], [6, 1]], 5773/27993600],
[[[1, 6], [2, 2], [3, 5], [6, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 2], [3, 6], [4, 1], [6, 1]], 35/1492992],
[[[1, 6], [2, 2], [4, 2], [5, 2], [10, 1]], 1/12800],
[[[1, 6], [2, 2], [4, 2], [6, 2], [8, 2]], 1/1658880],
[[[1, 6], [2, 2], [4, 2], [8, 1], [12, 2]], 1/110592],
[[[1, 6], [2, 2], [4, 2], [8, 1], [20, 1]], 1/30720],
[[[1, 6], [2, 2], [4, 2], [8, 2], [10, 1]], 1/460800],
[[[1, 6], [2, 2], [4, 4], [5, 1], [8, 1]], 1/20480],
[[[1, 6], [2, 2], [4, 4], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 2], [5, 1], [8, 1], [10, 2]], 1/288000],
[[[1, 6], [2, 2], [6, 2], [9, 1], [18, 1]], 1/103680],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 5]], 13/11943936],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 2]], 43/460800],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 4]], 1/995328],
[[[1, 6], [2, 4], [3, 1], [4, 2], [8, 2]], 11/18432],
[[[1, 6], [2, 4], [3, 1], [4, 2], [10, 2]], 1/76800],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 3]], 419/11943936],
[[[1, 6], [2, 4], [3, 1], [4, 4], [5, 1]], 1/24576],
[[[1, 6], [2, 4], [3, 1], [4, 4], [6, 2]], 119/3981312],
[[[1, 6], [2, 4], [3, 1], [4, 4], [8, 1]], 79/110592],
[[[1, 6], [2, 4], [3, 1], [4, 4], [10, 1]], 1/55296],
[[[1, 6], [2, 4], [3, 1], [4, 4], [12, 1]], 1/6912],
[[[1, 6], [2, 4], [3, 1], [4, 5], [6, 1]], 5/147456],
[[[1, 6], [2, 4], [3, 1], [5, 1], [10, 2]], 1/7200],
[[[1, 6], [2, 4], [3, 1], [5, 2], [6, 2]], 1/172800],
[[[1, 6], [2, 4], [3, 1], [5, 2], [10, 1]], 1/28800],
[[[1, 6], [2, 4], [3, 1], [6, 2], [10, 2]], 1/691200],
[[[1, 6], [2, 4], [3, 1], [6, 4], [10, 1]], 1/1244160],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 2]], 7/460800],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 4]], 61/1105920],
[[[1, 6], [2, 4], [3, 2], [4, 1], [8, 2]], 1/110592],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 3]], 629/1990656],
[[[1, 6], [2, 4], [3, 2], [4, 3], [5, 1]], 13/276480],
[[[1, 6], [2, 4], [3, 2], [4, 3], [6, 2]], 209/552960],
[[[1, 6], [2, 4], [3, 2], [4, 3], [8, 1]], 341/1327104],
[[[1, 6], [2, 4], [3, 2], [4, 3], [10, 1]], 1/46080],
[[[1, 6], [2, 4], [3, 2], [4, 4], [6, 1]], 79/1327104],
[[[1, 6], [2, 4], [3, 2], [5, 1], [6, 3]], 301/3110400],
[[[1, 6], [2, 4], [3, 2], [5, 2], [6, 1]], 23/345600],
[[[1, 6], [2, 4], [3, 2], [6, 1], [10, 2]], 1/172800],
[[[1, 6], [2, 4], [3, 2], [6, 2], [9, 1]], 5/10368],
[[[1, 6], [2, 4], [3, 2], [6, 2], [18, 1]], 1/20736],
[[[1, 6], [2, 4], [3, 2], [6, 3], [8, 1]], 43/1866240],
[[[1, 6], [2, 4], [3, 2], [6, 3], [10, 1]], 23/829440],
[[[1, 6], [2, 4], [3, 2], [6, 3], [12, 1]], 1/55296],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 3]], 64397/59719680],
[[[1, 6], [2, 4], [3, 3], [4, 2], [5, 1]], 43/829440],
[[[1, 6], [2, 4], [3, 3], [4, 2], [6, 2]], 185/331776],
[[[1, 6], [2, 4], [3, 3], [4, 2], [8, 1]], 7/165888],
[[[1, 6], [2, 4], [3, 3], [4, 3], [6, 1]], 89/663552],
[[[1, 6], [2, 4], [3, 3], [5, 1], [6, 2]], 7/46080],
[[[1, 6], [2, 4], [3, 3], [5, 1], [10, 1]], 1/103680],
[[[1, 6], [2, 4], [3, 3], [6, 1], [9, 1]], 1/1728],
[[[1, 6], [2, 4], [3, 3], [6, 2], [8, 1]], 5/41472],
[[[1, 6], [2, 4], [3, 3], [6, 2], [10, 1]], 11/207360],
[[[1, 6], [2, 4], [3, 3], [6, 2], [12, 1]], 5/27648],
[[[1, 6], [2, 4], [3, 4], [4, 1], [5, 1]], 7/1658880],
[[[1, 6], [2, 4], [3, 4], [4, 1], [6, 2]], 13519/11943936],
[[[1, 6], [2, 4], [3, 4], [4, 2], [6, 1]], 421/2985984],
[[[1, 6], [2, 4], [3, 4], [5, 1], [6, 1]], 11/311040],
[[[1, 6], [2, 4], [3, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 6], [2, 4], [3, 5], [4, 1], [6, 1]], 14351/89579520],
[[[1, 6], [2, 4], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 6], [2, 4], [4, 1], [5, 1], [10, 2]], 53/576000],
[[[1, 6], [2, 4], [4, 1], [5, 2], [10, 1]], 19/76800],
[[[1, 6], [2, 4], [4, 1], [6, 2], [8, 2]], 1/110592],
[[[1, 6], [2, 4], [4, 1], [6, 2], [10, 2]], 1/2764800],
[[[1, 6], [2, 4], [4, 1], [6, 4], [10, 1]], 1/9953280],
[[[1, 6], [2, 4], [4, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 6], [2, 4], [4, 2], [5, 2], [6, 1]], 1/76800],
[[[1, 6], [2, 4], [4, 2], [6, 1], [8, 2]], 23/829440],
[[[1, 6], [2, 4], [4, 2], [6, 3], [8, 1]], 1/165888],
[[[1, 6], [2, 4], [4, 3], [5, 1], [6, 2]], 1/82944],
[[[1, 6], [2, 4], [4, 3], [5, 1], [8, 1]], 149/368640],
[[[1, 6], [2, 4], [4, 3], [5, 1], [10, 1]], 11/46080],
[[[1, 6], [2, 4], [4, 3], [6, 2], [8, 1]], 103/3317760],
[[[1, 6], [2, 4], [4, 3], [8, 1], [10, 1]], 103/921600],
[[[1, 6], [2, 4], [4, 3], [8, 1], [12, 1]], 1/3072],
[[[1, 6], [2, 4], [4, 4], [5, 1], [6, 1]], 1/30720],
[[[1, 6], [2, 4], [4, 4], [6, 1], [8, 1]], 1/8192],
[[[1, 6], [2, 4], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 6], [2, 4], [5, 1], [6, 3], [10, 1]], 1/103680],
[[[1, 6], [2, 4], [5, 2], [6, 1], [10, 1]], 1/14400],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 2]], 1/69120],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 4]], 149/1990656],
[[[1, 6], [2, 6], [3, 1], [4, 1], [8, 2]], 5/55296],
[[[1, 6], [2, 6], [3, 1], [4, 1], [10, 2]], 1/57600],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 3]], 3001/7962624],
[[[1, 6], [2, 6], [3, 1], [4, 3], [5, 1]], 49/368640],
[[[1, 6], [2, 6], [3, 1], [4, 3], [6, 2]], 989/1327104],
[[[1, 6], [2, 6], [3, 1], [4, 3], [8, 1]], 1109/1658880],
[[[1, 6], [2, 6], [3, 1], [4, 3], [10, 1]], 317/1658880],
[[[1, 6], [2, 6], [3, 1], [4, 4], [6, 1]], 1087/1990656],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 3]], 1/10368],
[[[1, 6], [2, 6], [3, 1], [5, 2], [6, 1]], 29/1843200],
[[[1, 6], [2, 6], [3, 1], [6, 1], [10, 2]], 29/1843200],
[[[1, 6], [2, 6], [3, 1], [6, 3], [8, 1]], 1/82944],
[[[1, 6], [2, 6], [3, 1], [6, 3], [10, 1]], 239/9953280],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 3]], 491/622080],
[[[1, 6], [2, 6], [3, 2], [4, 2], [5, 1]], 101/6635520],
[[[1, 6], [2, 6], [3, 2], [4, 2], [6, 2]], 1781/1327104],
[[[1, 6], [2, 6], [3, 2], [4, 2], [8, 1]], 85/331776],
[[[1, 6], [2, 6], [3, 2], [4, 2], [10, 1]], 1/8640],
[[[1, 6], [2, 6], [3, 2], [4, 3], [6, 1]], 989/1327104],
[[[1, 6], [2, 6], [3, 2], [5, 1], [6, 2]], 5137/33177600],
[[[1, 6], [2, 6], [3, 2], [5, 1], [10, 1]], 5/41472],
[[[1, 6], [2, 6], [3, 2], [6, 2], [8, 1]], 1873/12441600],
[[[1, 6], [2, 6], [3, 2], [6, 2], [10, 1]], 5137/33177600],
[[[1, 6], [2, 6], [3, 2], [8, 1], [10, 1]], 1/1036800],
[[[1, 6], [2, 6], [3, 3], [4, 1], [5, 1]], 1/124416],
[[[1, 6], [2, 6], [3, 3], [4, 1], [6, 2]], 491/622080],
[[[1, 6], [2, 6], [3, 3], [4, 1], [8, 1]], 1/55296],
[[[1, 6], [2, 6], [3, 3], [4, 1], [10, 1]], 1/103680],
[[[1, 6], [2, 6], [3, 3], [4, 2], [6, 1]], 3001/7962624],
[[[1, 6], [2, 6], [3, 3], [5, 1], [6, 1]], 239/9953280],
[[[1, 6], [2, 6], [3, 3], [6, 1], [8, 1]], 1/82944],
[[[1, 6], [2, 6], [3, 3], [6, 1], [10, 1]], 1/10368],
[[[1, 6], [2, 6], [3, 4], [4, 1], [6, 1]], 149/1990656],
[[[1, 6], [2, 6], [4, 1], [5, 1], [6, 3]], 1/103680],
[[[1, 6], [2, 6], [4, 1], [5, 2], [6, 1]], 1/57600],
[[[1, 6], [2, 6], [4, 1], [6, 1], [8, 2]], 5/55296],
[[[1, 6], [2, 6], [4, 1], [6, 1], [10, 2]], 1/69120],
[[[1, 6], [2, 6], [4, 1], [6, 3], [8, 1]], 1/55296],
[[[1, 6], [2, 6], [4, 1], [6, 3], [10, 1]], 1/124416],
[[[1, 6], [2, 6], [4, 2], [5, 1], [6, 2]], 1/8640],
[[[1, 6], [2, 6], [4, 2], [5, 1], [8, 1]], 29/92160],
[[[1, 6], [2, 6], [4, 2], [5, 1], [10, 1]], 167/307200],
[[[1, 6], [2, 6], [4, 2], [6, 2], [8, 1]], 85/331776],
[[[1, 6], [2, 6], [4, 2], [6, 2], [10, 1]], 101/6635520],
[[[1, 6], [2, 6], [4, 2], [8, 1], [10, 1]], 29/92160],
[[[1, 6], [2, 6], [4, 3], [5, 1], [6, 1]], 317/1658880],
[[[1, 6], [2, 6], [4, 3], [6, 1], [8, 1]], 1109/1658880],
[[[1, 6], [2, 6], [4, 3], [6, 1], [10, 1]], 49/368640],
[[[1, 6], [2, 6], [5, 1], [6, 2], [8, 1]], 1/1036800],
[[[1, 6], [2, 6], [5, 1], [6, 2], [10, 1]], 5/41472],
[[[1, 6], [2, 6], [5, 1], [8, 1], [10, 1]], 131/2073600],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 3]], 36857/119439360],
[[[1, 6], [2, 8], [3, 1], [4, 2], [5, 1]], 91/4423680],
[[[1, 6], [2, 8], [3, 1], [4, 2], [6, 2]], 10249/13271040],
[[[1, 6], [2, 8], [3, 1], [4, 2], [8, 1]], 1111/6635520],
[[[1, 6], [2, 8], [3, 1], [4, 2], [10, 1]], 47/691200],
[[[1, 6], [2, 8], [3, 1], [4, 3], [6, 1]], 103873/159252480],
[[[1, 6], [2, 8], [3, 1], [5, 1], [6, 2]], 7/165888],
[[[1, 6], [2, 8], [3, 1], [5, 1], [10, 1]], 13/230400],
[[[1, 6], [2, 8], [3, 1], [6, 2], [8, 1]], 11/414720],
[[[1, 6], [2, 8], [3, 1], [6, 2], [10, 1]], 133/2073600],
[[[1, 6], [2, 8], [3, 2], [4, 1], [5, 1]], 7/3317760],
[[[1, 6], [2, 8], [3, 2], [4, 1], [6, 2]], 52741/99532800],
[[[1, 6], [2, 8], [3, 2], [4, 1], [8, 1]], 89/3317760],
[[[1, 6], [2, 8], [3, 2], [4, 1], [10, 1]], 1/691200],
[[[1, 6], [2, 8], [3, 2], [4, 2], [6, 1]], 263/737280],
[[[1, 6], [2, 8], [3, 2], [5, 1], [6, 1]], 1/69120],
[[[1, 6], [2, 8], [3, 2], [6, 1], [8, 1]], 47/3732480],
[[[1, 6], [2, 8], [3, 2], [6, 1], [10, 1]], 31/1244160],
[[[1, 6], [2, 8], [3, 3], [4, 1], [6, 1]], 181/2985984],
[[[1, 6], [2, 8], [4, 1], [5, 1], [6, 2]], 23/2073600],
[[[1, 6], [2, 8], [4, 1], [5, 1], [8, 1]], 83/2764800],
[[[1, 6], [2, 8], [4, 1], [5, 1], [10, 1]], 299/2073600],
[[[1, 6], [2, 8], [4, 1], [6, 2], [8, 1]], 299/6635520],
[[[1, 6], [2, 8], [4, 1], [6, 2], [10, 1]], 1093/16588800],
[[[1, 6], [2, 8], [4, 1], [8, 1], [10, 1]], 59/1843200],
[[[1, 6], [2, 8], [4, 2], [5, 1], [6, 1]], 83/1105920],
[[[1, 6], [2, 8], [4, 2], [6, 1], [8, 1]], 2381/6635520],
[[[1, 6], [2, 8], [4, 2], [6, 1], [10, 1]], 559/3317760],
[[[1, 6], [2, 8], [5, 1], [6, 1], [8, 1]], 1/1036800],
[[[1, 6], [2, 8], [5, 1], [6, 1], [10, 1]], 163/2073600],
[[[1, 6], [2, 10], [3, 1], [4, 1], [5, 1]], 31/66355200],
[[[1, 6], [2, 10], [3, 1], [4, 1], [6, 2]], 1421/11943936],
[[[1, 6], [2, 10], [3, 1], [4, 1], [8, 1]], 31/4976640],
[[[1, 6], [2, 10], [3, 1], [4, 1], [10, 1]], 113/33177600],
[[[1, 6], [2, 10], [3, 1], [4, 2], [6, 1]], 15197/127401984],
[[[1, 6], [2, 10], [3, 1], [5, 1], [6, 1]], 269/132710400],
[[[1, 6], [2, 10], [3, 1], [6, 1], [8, 1]], 7/3317760],
[[[1, 6], [2, 10], [3, 1], [6, 1], [10, 1]], 2459/199065600],
[[[1, 6], [2, 10], [3, 2], [4, 1], [6, 1]], 1997/79626240],
[[[1, 6], [2, 10], [4, 1], [5, 1], [6, 1]], 71/33177600],
[[[1, 6], [2, 10], [4, 1], [6, 1], [8, 1]], 23/1658880],
[[[1, 6], [2, 10], [4, 1], [6, 1], [10, 1]], 653/9953280],
[[[1, 6], [2, 12], [3, 1], [4, 1], [6, 1]], 2849/424673280],
[[[1, 6], [3, 1], [5, 1], [6, 2], [15, 1]], 1/518400],
[[[1, 6], [3, 1], [5, 1], [12, 1], [15, 1]], 1/86400],
[[[1, 6], [3, 3], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 7], [2, 1], [3, 1], [4, 1], [5, 3]], 1/36000],
[[[1, 7], [2, 1], [3, 1], [4, 3], [5, 2]], 1/230400],
[[[1, 7], [2, 1], [3, 1], [5, 3], [6, 1]], 1/1728000],
[[[1, 7], [2, 1], [3, 1], [6, 1], [9, 2]], 1/311040],
[[[1, 7], [2, 1], [3, 2], [4, 2], [5, 2]], 1/153600],
[[[1, 7], [2, 1], [3, 2], [5, 1], [15, 1]], 1/14400],
[[[1, 7], [2, 1], [3, 2], [6, 3], [9, 1]], 1/622080],
[[[1, 7], [2, 1], [3, 3], [4, 1], [5, 2]], 1/43200],
[[[1, 7], [2, 1], [3, 3], [4, 3], [5, 1]], 1/414720],
[[[1, 7], [2, 1], [3, 3], [5, 2], [6, 1]], 11/691200],
[[[1, 7], [2, 1], [3, 3], [6, 2], [9, 1]], 1/124416],
[[[1, 7], [2, 1], [3, 3], [6, 3], [8, 1]], 1/1244160],
[[[1, 7], [2, 1], [3, 3], [6, 3], [10, 1]], 1/2488320],
[[[1, 7], [2, 1], [3, 3], [9, 1], [12, 1]], 1/20736],
[[[1, 7], [2, 1], [3, 4], [4, 1], [6, 3]], 1/62208],
[[[1, 7], [2, 1], [3, 4], [4, 1], [9, 1]], 1/10368],
[[[1, 7], [2, 1], [3, 4], [4, 2], [5, 1]], 17/4976640],
[[[1, 7], [2, 1], [3, 4], [6, 1], [9, 1]], 161/622080],
[[[1, 7], [2, 1], [3, 5], [4, 1], [5, 1]], 1/155520],
[[[1, 7], [2, 1], [3, 5], [4, 1], [6, 2]], 1/829440],
[[[1, 7], [2, 1], [3, 5], [4, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 1], [3, 5], [4, 2], [6, 1]], 41/89579520],
[[[1, 7], [2, 1], [3, 5], [5, 1], [6, 1]], 2917/37324800],
[[[1, 7], [2, 1], [3, 5], [6, 1], [12, 1]], 1/20736],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 5]], 1/11943936],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 2]], 19/138240],
[[[1, 7], [2, 3], [3, 1], [4, 2], [8, 2]], 7/110592],
[[[1, 7], [2, 3], [3, 1], [4, 4], [5, 1]], 1/73728],
[[[1, 7], [2, 3], [3, 1], [4, 4], [6, 2]], 1/995328],
[[[1, 7], [2, 3], [3, 1], [4, 4], [8, 1]], 5/55296],
[[[1, 7], [2, 3], [3, 1], [4, 4], [10, 1]], 1/276480],
[[[1, 7], [2, 3], [3, 1], [4, 5], [6, 1]], 5/589824],
[[[1, 7], [2, 3], [3, 1], [5, 1], [10, 2]], 1/72000],
[[[1, 7], [2, 3], [3, 1], [5, 2], [6, 2]], 1/2592000],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 2]], 17/153600],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 4]], 263/59719680],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 3]], 7/497664],
[[[1, 7], [2, 3], [3, 2], [4, 3], [5, 1]], 7/184320],
[[[1, 7], [2, 3], [3, 2], [4, 3], [6, 2]], 1939/19906560],
[[[1, 7], [2, 3], [3, 2], [4, 3], [8, 1]], 25/442368],
[[[1, 7], [2, 3], [3, 2], [4, 4], [6, 1]], 23/1327104],
[[[1, 7], [2, 3], [3, 2], [5, 2], [6, 1]], 7/115200],
[[[1, 7], [2, 3], [3, 2], [6, 2], [9, 1]], 23/155520],
[[[1, 7], [2, 3], [3, 2], [6, 3], [8, 1]], 1/1244160],
[[[1, 7], [2, 3], [3, 2], [6, 3], [10, 1]], 23/12441600],
[[[1, 7], [2, 3], [3, 2], [6, 3], [12, 1]], 1/829440],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 3]], 479/3317760],
[[[1, 7], [2, 3], [3, 3], [4, 2], [5, 1]], 101/1244160],
[[[1, 7], [2, 3], [3, 3], [4, 2], [6, 2]], 97/552960],
[[[1, 7], [2, 3], [3, 3], [4, 3], [6, 1]], 73/1658880],
[[[1, 7], [2, 3], [3, 3], [5, 1], [6, 2]], 191/12441600],
[[[1, 7], [2, 3], [3, 3], [6, 1], [9, 1]], 7/15552],
[[[1, 7], [2, 3], [3, 3], [6, 2], [8, 1]], 1/27648],
[[[1, 7], [2, 3], [3, 3], [6, 2], [10, 1]], 1/115200],
[[[1, 7], [2, 3], [3, 3], [6, 2], [12, 1]], 1/18432],
[[[1, 7], [2, 3], [3, 4], [4, 1], [5, 1]], 91/1658880],
[[[1, 7], [2, 3], [3, 4], [4, 1], [6, 2]], 2423/6635520],
[[[1, 7], [2, 3], [3, 4], [4, 2], [6, 1]], 1/41472],
[[[1, 7], [2, 3], [3, 4], [5, 1], [6, 1]], 67/933120],
[[[1, 7], [2, 3], [3, 4], [6, 1], [12, 1]], 1/18432],
[[[1, 7], [2, 3], [3, 5], [4, 1], [6, 1]], 34903/179159040],
[[[1, 7], [2, 3], [4, 1], [5, 1], [10, 2]], 17/1152000],
[[[1, 7], [2, 3], [4, 1], [5, 2], [10, 1]], 1/25600],
[[[1, 7], [2, 3], [4, 1], [6, 2], [8, 2]], 1/1658880],
[[[1, 7], [2, 3], [4, 1], [8, 2], [10, 1]], 1/460800],
[[[1, 7], [2, 3], [4, 2], [6, 1], [8, 2]], 1/552960],
[[[1, 7], [2, 3], [4, 2], [6, 3], [8, 1]], 1/2488320],
[[[1, 7], [2, 3], [4, 3], [5, 1], [8, 1]], 3/40960],
[[[1, 7], [2, 3], [4, 3], [5, 1], [10, 1]], 1/20480],
[[[1, 7], [2, 3], [4, 3], [6, 2], [8, 1]], 53/19906560],
[[[1, 7], [2, 3], [4, 3], [8, 1], [10, 1]], 53/5529600],
[[[1, 7], [2, 3], [4, 3], [8, 1], [12, 1]], 1/36864],
[[[1, 7], [2, 3], [5, 1], [6, 1], [10, 2]], 1/432000],
[[[1, 7], [2, 3], [5, 1], [6, 3], [10, 1]], 1/1555200],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 2]], 151/2764800],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 4]], 5/331776],
[[[1, 7], [2, 5], [3, 1], [4, 1], [8, 2]], 1/18432],
[[[1, 7], [2, 5], [3, 1], [4, 1], [10, 2]], 1/230400],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 3]], 2153/39813120],
[[[1, 7], [2, 5], [3, 1], [4, 3], [5, 1]], 233/1105920],
[[[1, 7], [2, 5], [3, 1], [4, 3], [6, 2]], 5/16384],
[[[1, 7], [2, 5], [3, 1], [4, 3], [8, 1]], 317/442368],
[[[1, 7], [2, 5], [3, 1], [4, 3], [10, 1]], 47/552960],
[[[1, 7], [2, 5], [3, 1], [4, 4], [6, 1]], 57619/159252480],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 3]], 1/311040],
[[[1, 7], [2, 5], [3, 1], [5, 2], [6, 1]], 2771/82944000],
[[[1, 7], [2, 5], [3, 1], [6, 1], [10, 2]], 1/368640],
[[[1, 7], [2, 5], [3, 1], [6, 3], [8, 1]], 1/248832],
[[[1, 7], [2, 5], [3, 1], [6, 3], [10, 1]], 1/368640],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 3]], 21097/59719680],
[[[1, 7], [2, 5], [3, 2], [4, 2], [5, 1]], 55/442368],
[[[1, 7], [2, 5], [3, 2], [4, 2], [6, 2]], 18001/19906560],
[[[1, 7], [2, 5], [3, 2], [4, 2], [8, 1]], 1/4096],
[[[1, 7], [2, 5], [3, 2], [4, 2], [10, 1]], 1/27648],
[[[1, 7], [2, 5], [3, 2], [4, 3], [6, 1]], 307/497664],
[[[1, 7], [2, 5], [3, 2], [5, 1], [6, 2]], 3199/33177600],
[[[1, 7], [2, 5], [3, 2], [5, 1], [10, 1]], 19/276480],
[[[1, 7], [2, 5], [3, 2], [6, 2], [8, 1]], 257/3317760],
[[[1, 7], [2, 5], [3, 2], [6, 2], [10, 1]], 1811/33177600],
[[[1, 7], [2, 5], [3, 3], [4, 1], [5, 1]], 151/4976640],
[[[1, 7], [2, 5], [3, 3], [4, 1], [6, 2]], 12581/19906560],
[[[1, 7], [2, 5], [3, 3], [4, 1], [8, 1]], 1/165888],
[[[1, 7], [2, 5], [3, 3], [4, 2], [6, 1]], 2149/3981312],
[[[1, 7], [2, 5], [3, 3], [5, 1], [6, 1]], 10831/149299200],
[[[1, 7], [2, 5], [3, 3], [6, 1], [8, 1]], 1/207360],
[[[1, 7], [2, 5], [3, 3], [6, 1], [10, 1]], 1/34560],
[[[1, 7], [2, 5], [3, 4], [4, 1], [6, 1]], 107/746496],
[[[1, 7], [2, 5], [4, 1], [5, 2], [6, 1]], 1/57600],
[[[1, 7], [2, 5], [4, 1], [6, 1], [8, 2]], 23/829440],
[[[1, 7], [2, 5], [4, 1], [6, 1], [10, 2]], 1/921600],
[[[1, 7], [2, 5], [4, 1], [6, 3], [8, 1]], 1/165888],
[[[1, 7], [2, 5], [4, 1], [6, 3], [10, 1]], 1/1658880],
[[[1, 7], [2, 5], [4, 2], [5, 1], [6, 2]], 1/138240],
[[[1, 7], [2, 5], [4, 2], [5, 1], [8, 1]], 7/30720],
[[[1, 7], [2, 5], [4, 2], [5, 1], [10, 1]], 287/921600],
[[[1, 7], [2, 5], [4, 2], [6, 2], [8, 1]], 19/414720],
[[[1, 7], [2, 5], [4, 2], [6, 2], [10, 1]], 7/2211840],
[[[1, 7], [2, 5], [4, 2], [8, 1], [10, 1]], 17/172800],
[[[1, 7], [2, 5], [4, 3], [5, 1], [6, 1]], 61/552960],
[[[1, 7], [2, 5], [4, 3], [6, 1], [8, 1]], 4877/19906560],
[[[1, 7], [2, 5], [4, 3], [6, 1], [10, 1]], 1/276480],
[[[1, 7], [2, 5], [5, 1], [6, 2], [10, 1]], 7/172800],
[[[1, 7], [2, 5], [5, 1], [8, 1], [10, 1]], 91/2764800],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 3]], 15031/59719680],
[[[1, 7], [2, 7], [3, 1], [4, 2], [5, 1]], 13/122880],
[[[1, 7], [2, 7], [3, 1], [4, 2], [6, 2]], 16847/19906560],
[[[1, 7], [2, 7], [3, 1], [4, 2], [8, 1]], 877/2073600],
[[[1, 7], [2, 7], [3, 1], [4, 2], [10, 1]], 47/276480],
[[[1, 7], [2, 7], [3, 1], [4, 3], [6, 1]], 1333/1327104],
[[[1, 7], [2, 7], [3, 1], [5, 1], [6, 2]], 269/2764800],
[[[1, 7], [2, 7], [3, 1], [5, 1], [10, 1]], 13/103680],
[[[1, 7], [2, 7], [3, 1], [6, 2], [8, 1]], 17/414720],
[[[1, 7], [2, 7], [3, 1], [6, 2], [10, 1]], 89/1658880],
[[[1, 7], [2, 7], [3, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 7], [2, 7], [3, 2], [4, 1], [5, 1]], 1/55296],
[[[1, 7], [2, 7], [3, 2], [4, 1], [6, 2]], 172889/199065600],
[[[1, 7], [2, 7], [3, 2], [4, 1], [8, 1]], 89/1105920],
[[[1, 7], [2, 7], [3, 2], [4, 1], [10, 1]], 19/518400],
[[[1, 7], [2, 7], [3, 2], [4, 2], [6, 1]], 16847/19906560],
[[[1, 7], [2, 7], [3, 2], [5, 1], [6, 1]], 89/1658880],
[[[1, 7], [2, 7], [3, 2], [6, 1], [8, 1]], 17/414720],
[[[1, 7], [2, 7], [3, 2], [6, 1], [10, 1]], 269/2764800],
[[[1, 7], [2, 7], [3, 3], [4, 1], [6, 1]], 15031/59719680],
[[[1, 7], [2, 7], [4, 1], [5, 1], [6, 2]], 19/518400],
[[[1, 7], [2, 7], [4, 1], [5, 1], [8, 1]], 67/921600],
[[[1, 7], [2, 7], [4, 1], [5, 1], [10, 1]], 3839/16588800],
[[[1, 7], [2, 7], [4, 1], [6, 2], [8, 1]], 89/1105920],
[[[1, 7], [2, 7], [4, 1], [6, 2], [10, 1]], 1/55296],
[[[1, 7], [2, 7], [4, 1], [8, 1], [10, 1]], 67/921600],
[[[1, 7], [2, 7], [4, 2], [5, 1], [6, 1]], 47/276480],
[[[1, 7], [2, 7], [4, 2], [6, 1], [8, 1]], 877/2073600],
[[[1, 7], [2, 7], [4, 2], [6, 1], [10, 1]], 13/122880],
[[[1, 7], [2, 7], [5, 1], [6, 1], [8, 1]], 1/345600],
[[[1, 7], [2, 7], [5, 1], [6, 1], [10, 1]], 13/103680],
[[[1, 7], [2, 9], [3, 1], [4, 1], [5, 1]], 97/13271040],
[[[1, 7], [2, 9], [3, 1], [4, 1], [6, 2]], 7/23328],
[[[1, 7], [2, 9], [3, 1], [4, 1], [8, 1]], 397/9953280],
[[[1, 7], [2, 9], [3, 1], [4, 1], [10, 1]], 569/33177600],
[[[1, 7], [2, 9], [3, 1], [4, 2], [6, 1]], 1349981/3185049600],
[[[1, 7], [2, 9], [3, 1], [5, 1], [6, 1]], 3737/265420800],
[[[1, 7], [2, 9], [3, 1], [6, 1], [8, 1]], 1/92160],
[[[1, 7], [2, 9], [3, 1], [6, 1], [10, 1]], 131/4915200],
[[[1, 7], [2, 9], [3, 2], [4, 1], [6, 1]], 17279/119439360],
[[[1, 7], [2, 9], [4, 1], [5, 1], [6, 1]], 25/1327104],
[[[1, 7], [2, 9], [4, 1], [6, 1], [8, 1]], 67/1105920],
[[[1, 7], [2, 9], [4, 1], [6, 1], [10, 1]], 577/11059200],
[[[1, 7], [2, 11], [3, 1], [4, 1], [6, 1]], 231619/6370099200],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 2]], 1/23040],
[[[1, 8], [2, 2], [3, 1], [4, 4], [5, 1]], 1/368640],
[[[1, 8], [2, 2], [3, 1], [4, 4], [8, 1]], 1/73728],
[[[1, 8], [2, 2], [3, 2], [4, 1], [5, 2]], 83/921600],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 4]], 19/59719680],
[[[1, 8], [2, 2], [3, 2], [4, 3], [5, 1]], 13/1382400],
[[[1, 8], [2, 2], [3, 2], [4, 4], [6, 1]], 1/331776],
[[[1, 8], [2, 2], [3, 2], [5, 2], [6, 1]], 163/10368000],
[[[1, 8], [2, 2], [3, 2], [6, 2], [9, 1]], 1/103680],
[[[1, 8], [2, 2], [3, 3], [4, 1], [6, 3]], 133/19906560],
[[[1, 8], [2, 2], [3, 3], [4, 2], [5, 1]], 1/34560],
[[[1, 8], [2, 2], [3, 3], [4, 2], [6, 2]], 1171/29859840],
[[[1, 8], [2, 2], [3, 3], [4, 3], [6, 1]], 7/6635520],
[[[1, 8], [2, 2], [3, 3], [5, 1], [6, 2]], 1/1382400],
[[[1, 8], [2, 2], [3, 3], [6, 1], [9, 1]], 5/46656],
[[[1, 8], [2, 2], [3, 3], [6, 2], [12, 1]], 1/276480],
[[[1, 8], [2, 2], [3, 4], [4, 1], [5, 1]], 473/9953280],
[[[1, 8], [2, 2], [3, 4], [4, 2], [6, 1]], 13/7464960],
[[[1, 8], [2, 2], [3, 4], [5, 1], [6, 1]], 1927/55987200],
[[[1, 8], [2, 2], [3, 4], [6, 1], [12, 1]], 1/55296],
[[[1, 8], [2, 2], [3, 5], [4, 1], [6, 1]], 1027/19906560],
[[[1, 8], [2, 2], [4, 1], [5, 1], [10, 2]], 1/1152000],
[[[1, 8], [2, 2], [4, 3], [6, 2], [8, 1]], 1/6635520],
[[[1, 8], [2, 2], [4, 3], [8, 1], [10, 1]], 1/1843200],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 2]], 1/9600],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 4]], 31/29859840],
[[[1, 8], [2, 4], [3, 1], [4, 1], [8, 2]], 1/110592],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 3]], 241/39813120],
[[[1, 8], [2, 4], [3, 1], [4, 3], [5, 1]], 31/276480],
[[[1, 8], [2, 4], [3, 1], [4, 3], [6, 2]], 79/9953280],
[[[1, 8], [2, 4], [3, 1], [4, 3], [8, 1]], 623/3317760],
[[[1, 8], [2, 4], [3, 1], [4, 3], [10, 1]], 49/2764800],
[[[1, 8], [2, 4], [3, 1], [4, 4], [6, 1]], 239/2654208],
[[[1, 8], [2, 4], [3, 1], [5, 2], [6, 1]], 599/27648000],
[[[1, 8], [2, 4], [3, 1], [6, 1], [10, 2]], 1/5529600],
[[[1, 8], [2, 4], [3, 1], [6, 3], [8, 1]], 1/3732480],
[[[1, 8], [2, 4], [3, 1], [6, 3], [10, 1]], 1/9953280],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 3]], 97/1866240],
[[[1, 8], [2, 4], [3, 2], [4, 2], [5, 1]], 73/368640],
[[[1, 8], [2, 4], [3, 2], [4, 2], [6, 2]], 787/3317760],
[[[1, 8], [2, 4], [3, 2], [4, 2], [8, 1]], 11/221184],
[[[1, 8], [2, 4], [3, 2], [4, 3], [6, 1]], 673/3317760],
[[[1, 8], [2, 4], [3, 2], [5, 1], [6, 2]], 569/33177600],
[[[1, 8], [2, 4], [3, 2], [5, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 4], [3, 2], [6, 2], [8, 1]], 23/1658880],
[[[1, 8], [2, 4], [3, 2], [6, 2], [10, 1]], 131/33177600],
[[[1, 8], [2, 4], [3, 3], [4, 1], [5, 1]], 1/8640],
[[[1, 8], [2, 4], [3, 3], [4, 1], [6, 2]], 49/248832],
[[[1, 8], [2, 4], [3, 3], [4, 2], [6, 1]], 2393/13271040],
[[[1, 8], [2, 4], [3, 3], [5, 1], [6, 1]], 1453/16588800],
[[[1, 8], [2, 4], [3, 4], [4, 1], [6, 1]], 9187/89579520],
[[[1, 8], [2, 4], [4, 1], [5, 2], [6, 1]], 1/216000],
[[[1, 8], [2, 4], [4, 1], [6, 1], [8, 2]], 1/552960],
[[[1, 8], [2, 4], [4, 1], [6, 3], [8, 1]], 1/2488320],
[[[1, 8], [2, 4], [4, 2], [5, 1], [8, 1]], 1/36864],
[[[1, 8], [2, 4], [4, 2], [5, 1], [10, 1]], 23/307200],
[[[1, 8], [2, 4], [4, 2], [6, 2], [8, 1]], 17/3317760],
[[[1, 8], [2, 4], [4, 2], [6, 2], [10, 1]], 1/4423680],
[[[1, 8], [2, 4], [4, 2], [8, 1], [10, 1]], 13/921600],
[[[1, 8], [2, 4], [4, 3], [6, 1], [8, 1]], 5/221184],
[[[1, 8], [2, 4], [4, 3], [6, 1], [10, 1]], 1/4147200],
[[[1, 8], [2, 4], [5, 1], [6, 2], [10, 1]], 1/276480],
[[[1, 8], [2, 4], [5, 1], [8, 1], [10, 1]], 1/153600],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 3]], 181/2985984],
[[[1, 8], [2, 6], [3, 1], [4, 2], [5, 1]], 559/3317760],
[[[1, 8], [2, 6], [3, 1], [4, 2], [6, 2]], 263/737280],
[[[1, 8], [2, 6], [3, 1], [4, 2], [8, 1]], 2381/6635520],
[[[1, 8], [2, 6], [3, 1], [4, 2], [10, 1]], 83/1105920],
[[[1, 8], [2, 6], [3, 1], [4, 3], [6, 1]], 103873/159252480],
[[[1, 8], [2, 6], [3, 1], [5, 1], [6, 2]], 31/1244160],
[[[1, 8], [2, 6], [3, 1], [5, 1], [10, 1]], 163/2073600],
[[[1, 8], [2, 6], [3, 1], [6, 2], [8, 1]], 47/3732480],
[[[1, 8], [2, 6], [3, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 8], [2, 6], [3, 1], [8, 1], [10, 1]], 1/1036800],
[[[1, 8], [2, 6], [3, 2], [4, 1], [5, 1]], 1093/16588800],
[[[1, 8], [2, 6], [3, 2], [4, 1], [6, 2]], 52741/99532800],
[[[1, 8], [2, 6], [3, 2], [4, 1], [8, 1]], 299/6635520],
[[[1, 8], [2, 6], [3, 2], [4, 1], [10, 1]], 23/2073600],
[[[1, 8], [2, 6], [3, 2], [4, 2], [6, 1]], 10249/13271040],
[[[1, 8], [2, 6], [3, 2], [5, 1], [6, 1]], 133/2073600],
[[[1, 8], [2, 6], [3, 2], [6, 1], [8, 1]], 11/414720],
[[[1, 8], [2, 6], [3, 2], [6, 1], [10, 1]], 7/165888],
[[[1, 8], [2, 6], [3, 3], [4, 1], [6, 1]], 36857/119439360],
[[[1, 8], [2, 6], [4, 1], [5, 1], [6, 2]], 1/691200],
[[[1, 8], [2, 6], [4, 1], [5, 1], [8, 1]], 59/1843200],
[[[1, 8], [2, 6], [4, 1], [5, 1], [10, 1]], 299/2073600],
[[[1, 8], [2, 6], [4, 1], [6, 2], [8, 1]], 89/3317760],
[[[1, 8], [2, 6], [4, 1], [6, 2], [10, 1]], 7/3317760],
[[[1, 8], [2, 6], [4, 1], [8, 1], [10, 1]], 83/2764800],
[[[1, 8], [2, 6], [4, 2], [5, 1], [6, 1]], 47/691200],
[[[1, 8], [2, 6], [4, 2], [6, 1], [8, 1]], 1111/6635520],
[[[1, 8], [2, 6], [4, 2], [6, 1], [10, 1]], 91/4423680],
[[[1, 8], [2, 6], [5, 1], [6, 1], [10, 1]], 13/230400],
[[[1, 8], [2, 8], [3, 1], [4, 1], [5, 1]], 1033/33177600],
[[[1, 8], [2, 8], [3, 1], [4, 1], [6, 2]], 200183/597196800],
[[[1, 8], [2, 8], [3, 1], [4, 1], [8, 1]], 389/4147200],
[[[1, 8], [2, 8], [3, 1], [4, 1], [10, 1]], 493/11059200],
[[[1, 8], [2, 8], [3, 1], [4, 2], [6, 1]], 174481/265420800],
[[[1, 8], [2, 8], [3, 1], [5, 1], [6, 1]], 29/829440],
[[[1, 8], [2, 8], [3, 1], [6, 1], [8, 1]], 1483/74649600],
[[[1, 8], [2, 8], [3, 1], [6, 1], [10, 1]], 29/829440],
[[[1, 8], [2, 8], [3, 2], [4, 1], [6, 1]], 200183/597196800],
[[[1, 8], [2, 8], [4, 1], [5, 1], [6, 1]], 493/11059200],
[[[1, 8], [2, 8], [4, 1], [6, 1], [8, 1]], 389/4147200],
[[[1, 8], [2, 8], [4, 1], [6, 1], [10, 1]], 1033/33177600],
[[[1, 8], [2, 10], [3, 1], [4, 1], [6, 1]], 240391/2123366400],
[[[1, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 1/1658880],
[[[1, 9], [2, 1], [3, 1], [4, 2], [5, 2]], 1/1152000],
[[[1, 9], [2, 1], [3, 2], [4, 1], [5, 2]], 83/4608000],
[[[1, 9], [2, 1], [3, 2], [4, 3], [5, 1]], 7/5529600],
[[[1, 9], [2, 1], [3, 2], [5, 2], [6, 1]], 1/1152000],
[[[1, 9], [2, 1], [3, 3], [4, 1], [6, 3]], 1/2211840],
[[[1, 9], [2, 1], [3, 3], [4, 2], [5, 1]], 13/6220800],
[[[1, 9], [2, 1], [3, 3], [6, 1], [9, 1]], 1/155520],
[[[1, 9], [2, 1], [3, 4], [4, 1], [5, 1]], 163/16588800],
[[[1, 9], [2, 1], [3, 4], [4, 2], [6, 1]], 23/134369280],
[[[1, 9], [2, 1], [3, 4], [5, 1], [6, 1]], 89/18662400],
[[[1, 9], [2, 1], [3, 4], [6, 1], [12, 1]], 1/829440],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 2]], 7/102400],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 3]], 31/79626240],
[[[1, 9], [2, 3], [3, 1], [4, 3], [5, 1]], 13/460800],
[[[1, 9], [2, 3], [3, 1], [4, 3], [6, 2]], 1/4976640],
[[[1, 9], [2, 3], [3, 1], [4, 3], [8, 1]], 47/2211840],
[[[1, 9], [2, 3], [3, 1], [4, 4], [6, 1]], 71/53084160],
[[[1, 9], [2, 3], [3, 1], [5, 2], [6, 1]], 29/5529600],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 3]], 59/19906560],
[[[1, 9], [2, 3], [3, 2], [4, 2], [5, 1]], 3379/33177600],
[[[1, 9], [2, 3], [3, 2], [4, 2], [6, 2]], 337/19906560],
[[[1, 9], [2, 3], [3, 2], [4, 3], [6, 1]], 673/19906560],
[[[1, 9], [2, 3], [3, 2], [5, 1], [6, 2]], 29/59719680],
[[[1, 9], [2, 3], [3, 2], [6, 2], [8, 1]], 1/1105920],
[[[1, 9], [2, 3], [3, 2], [6, 2], [10, 1]], 23/99532800],
[[[1, 9], [2, 3], [3, 3], [4, 1], [5, 1]], 191/1658880],
[[[1, 9], [2, 3], [3, 3], [4, 1], [6, 2]], 493/19906560],
[[[1, 9], [2, 3], [3, 3], [4, 2], [6, 1]], 7/491520],
[[[1, 9], [2, 3], [3, 3], [5, 1], [6, 1]], 1187/29859840],
[[[1, 9], [2, 3], [3, 4], [4, 1], [6, 1]], 313/8957952],
[[[1, 9], [2, 3], [4, 1], [5, 2], [6, 1]], 1/3456000],
[[[1, 9], [2, 3], [4, 2], [5, 1], [10, 1]], 1/102400],
[[[1, 9], [2, 3], [4, 2], [6, 2], [8, 1]], 1/4976640],
[[[1, 9], [2, 3], [4, 2], [8, 1], [10, 1]], 1/1382400],
[[[1, 9], [2, 3], [4, 3], [6, 1], [8, 1]], 1/737280],
[[[1, 9], [2, 3], [5, 1], [6, 2], [10, 1]], 1/12441600],
[[[1, 9], [2, 3], [5, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 3]], 353/59719680],
[[[1, 9], [2, 5], [3, 1], [4, 2], [5, 1]], 341/2211840],
[[[1, 9], [2, 5], [3, 1], [4, 2], [6, 2]], 1327/26542080],
[[[1, 9], [2, 5], [3, 1], [4, 2], [8, 1]], 19/184320],
[[[1, 9], [2, 5], [3, 1], [4, 2], [10, 1]], 59/5529600],
[[[1, 9], [2, 5], [3, 1], [4, 3], [6, 1]], 6677/39813120],
[[[1, 9], [2, 5], [3, 1], [5, 1], [6, 2]], 7/8294400],
[[[1, 9], [2, 5], [3, 1], [5, 1], [10, 1]], 13/691200],
[[[1, 9], [2, 5], [3, 1], [6, 2], [8, 1]], 1/1244160],
[[[1, 9], [2, 5], [3, 1], [6, 2], [10, 1]], 47/49766400],
[[[1, 9], [2, 5], [3, 2], [4, 1], [5, 1]], 4403/33177600],
[[[1, 9], [2, 5], [3, 2], [4, 1], [6, 2]], 1919/14929920],
[[[1, 9], [2, 5], [3, 2], [4, 1], [8, 1]], 1/147456],
[[[1, 9], [2, 5], [3, 2], [4, 2], [6, 1]], 725/2654208],
[[[1, 9], [2, 5], [3, 2], [5, 1], [6, 1]], 887/18662400],
[[[1, 9], [2, 5], [3, 2], [6, 1], [8, 1]], 1/207360],
[[[1, 9], [2, 5], [3, 2], [6, 1], [10, 1]], 37/8294400],
[[[1, 9], [2, 5], [3, 3], [4, 1], [6, 1]], 8803/59719680],
[[[1, 9], [2, 5], [4, 1], [5, 1], [8, 1]], 1/368640],
[[[1, 9], [2, 5], [4, 1], [5, 1], [10, 1]], 59/1382400],
[[[1, 9], [2, 5], [4, 1], [6, 2], [8, 1]], 47/19906560],
[[[1, 9], [2, 5], [4, 1], [6, 2], [10, 1]], 1/13271040],
[[[1, 9], [2, 5], [4, 1], [8, 1], [10, 1]], 23/5529600],
[[[1, 9], [2, 5], [4, 2], [5, 1], [6, 1]], 17/5529600],
[[[1, 9], [2, 5], [4, 2], [6, 1], [8, 1]], 29/995328],
[[[1, 9], [2, 5], [4, 2], [6, 1], [10, 1]], 31/22118400],
[[[1, 9], [2, 5], [5, 1], [6, 1], [10, 1]], 59/6220800],
[[[1, 9], [2, 7], [3, 1], [4, 1], [5, 1]], 577/11059200],
[[[1, 9], [2, 7], [3, 1], [4, 1], [6, 2]], 17279/119439360],
[[[1, 9], [2, 7], [3, 1], [4, 1], [8, 1]], 67/1105920],
[[[1, 9], [2, 7], [3, 1], [4, 1], [10, 1]], 25/1327104],
[[[1, 9], [2, 7], [3, 1], [4, 2], [6, 1]], 1349981/3185049600],
[[[1, 9], [2, 7], [3, 1], [5, 1], [6, 1]], 131/4915200],
[[[1, 9], [2, 7], [3, 1], [6, 1], [8, 1]], 1/92160],
[[[1, 9], [2, 7], [3, 1], [6, 1], [10, 1]], 3737/265420800],
[[[1, 9], [2, 7], [3, 2], [4, 1], [6, 1]], 7/23328],
[[[1, 9], [2, 7], [4, 1], [5, 1], [6, 1]], 569/33177600],
[[[1, 9], [2, 7], [4, 1], [6, 1], [8, 1]], 397/9953280],
[[[1, 9], [2, 7], [4, 1], [6, 1], [10, 1]], 97/13271040],
[[[1, 9], [2, 9], [3, 1], [4, 1], [6, 1]], 829529/4777574400],
[[[1, 10], [2, 2], [3, 1], [4, 1], [5, 2]], 1/64000],
[[[1, 10], [2, 2], [3, 1], [4, 3], [5, 1]], 19/16588800],
[[[1, 10], [2, 2], [3, 1], [4, 4], [6, 1]], 1/13271040],
[[[1, 10], [2, 2], [3, 1], [5, 2], [6, 1]], 113/248832000],
[[[1, 10], [2, 2], [3, 2], [4, 2], [5, 1]], 7/409600],
[[[1, 10], [2, 2], [3, 2], [4, 2], [6, 2]], 619/597196800],
[[[1, 10], [2, 2], [3, 2], [4, 3], [6, 1]], 1/19906560],
[[[1, 10], [2, 2], [3, 2], [5, 1], [6, 2]], 1/99532800],
[[[1, 10], [2, 2], [3, 3], [4, 1], [5, 1]], 127/3110400],
[[[1, 10], [2, 2], [3, 3], [4, 2], [6, 1]], 29/119439360],
[[[1, 10], [2, 2], [3, 3], [5, 1], [6, 1]], 9403/1343692800],
[[[1, 10], [2, 2], [3, 4], [4, 1], [6, 1]], 359/89579520],
[[[1, 10], [2, 2], [4, 2], [5, 1], [10, 1]], 1/1843200],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 3]], 47/238878720],
[[[1, 10], [2, 4], [3, 1], [4, 2], [5, 1]], 821/11059200],
[[[1, 10], [2, 4], [3, 1], [4, 2], [6, 2]], 79/26542080],
[[[1, 10], [2, 4], [3, 1], [4, 2], [8, 1]], 19/2211840],
[[[1, 10], [2, 4], [3, 1], [4, 3], [6, 1]], 1627/106168320],
[[[1, 10], [2, 4], [3, 1], [5, 1], [6, 2]], 1/12441600],
[[[1, 10], [2, 4], [3, 1], [5, 1], [10, 1]], 1/691200],
[[[1, 10], [2, 4], [3, 2], [4, 1], [5, 1]], 209/1843200],
[[[1, 10], [2, 4], [3, 2], [4, 1], [6, 2]], 133/11943936],
[[[1, 10], [2, 4], [3, 2], [4, 2], [6, 1]], 2291/59719680],
[[[1, 10], [2, 4], [3, 2], [5, 1], [6, 1]], 61/3110400],
[[[1, 10], [2, 4], [3, 3], [4, 1], [6, 1]], 5293/134369280],
[[[1, 10], [2, 4], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 10], [2, 4], [4, 1], [6, 2], [8, 1]], 1/19906560],
[[[1, 10], [2, 4], [4, 1], [8, 1], [10, 1]], 1/5529600],
[[[1, 10], [2, 4], [4, 2], [5, 1], [6, 1]], 1/5529600],
[[[1, 10], [2, 4], [4, 2], [6, 1], [8, 1]], 11/6635520],
[[[1, 10], [2, 4], [5, 1], [6, 1], [10, 1]], 1/2073600],
[[[1, 10], [2, 6], [3, 1], [4, 1], [5, 1]], 653/9953280],
[[[1, 10], [2, 6], [3, 1], [4, 1], [6, 2]], 1997/79626240],
[[[1, 10], [2, 6], [3, 1], [4, 1], [8, 1]], 23/1658880],
[[[1, 10], [2, 6], [3, 1], [4, 1], [10, 1]], 71/33177600],
[[[1, 10], [2, 6], [3, 1], [4, 2], [6, 1]], 15197/127401984],
[[[1, 10], [2, 6], [3, 1], [5, 1], [6, 1]], 2459/199065600],
[[[1, 10], [2, 6], [3, 1], [6, 1], [8, 1]], 7/3317760],
[[[1, 10], [2, 6], [3, 1], [6, 1], [10, 1]], 269/132710400],
[[[1, 10], [2, 6], [3, 2], [4, 1], [6, 1]], 1421/11943936],
[[[1, 10], [2, 6], [4, 1], [5, 1], [6, 1]], 113/33177600],
[[[1, 10], [2, 6], [4, 1], [6, 1], [8, 1]], 31/4976640],
[[[1, 10], [2, 6], [4, 1], [6, 1], [10, 1]], 31/66355200],
[[[1, 10], [2, 8], [3, 1], [4, 1], [6, 1]], 240391/2123366400],
[[[1, 11], [2, 1], [3, 1], [4, 1], [5, 2]], 13/13824000],
[[[1, 11], [2, 1], [3, 1], [4, 3], [5, 1]], 1/16588800],
[[[1, 11], [2, 1], [3, 1], [5, 2], [6, 1]], 1/82944000],
[[[1, 11], [2, 1], [3, 2], [4, 2], [5, 1]], 29/99532800],
[[[1, 11], [2, 1], [3, 3], [4, 1], [5, 1]], 359/74649600],
[[[1, 11], [2, 1], [3, 3], [4, 2], [6, 1]], 41/3583180800],
[[[1, 11], [2, 1], [3, 3], [5, 1], [6, 1]], 53/149299200],
[[[1, 11], [2, 3], [3, 1], [4, 2], [5, 1]], 29/1990656],
[[[1, 11], [2, 3], [3, 1], [4, 3], [6, 1]], 43/49766400],
[[[1, 11], [2, 3], [3, 1], [5, 1], [6, 2]], 1/373248000],
[[[1, 11], [2, 3], [3, 2], [4, 1], [5, 1]], 59/1382400],
[[[1, 11], [2, 3], [3, 2], [4, 1], [6, 2]], 77/132710400],
[[[1, 11], [2, 3], [3, 2], [4, 2], [6, 1]], 1/1327104],
[[[1, 11], [2, 3], [3, 2], [5, 1], [6, 1]], 283/74649600],
[[[1, 11], [2, 3], [3, 3], [4, 1], [6, 1]], 3253/537477120],
[[[1, 11], [2, 3], [4, 1], [5, 1], [10, 1]], 1/3686400],
[[[1, 11], [2, 5], [3, 1], [4, 1], [5, 1]], 2359/49766400],
[[[1, 11], [2, 5], [3, 1], [4, 1], [6, 2]], 1727/1194393600],
[[[1, 11], [2, 5], [3, 1], [4, 1], [8, 1]], 1/1105920],
[[[1, 11], [2, 5], [3, 1], [4, 2], [6, 1]], 3269/212336640],
[[[1, 11], [2, 5], [3, 1], [5, 1], [6, 1]], 8311/1990656000],
[[[1, 11], [2, 5], [3, 1], [6, 1], [8, 1]], 1/8294400],
[[[1, 11], [2, 5], [3, 1], [6, 1], [10, 1]], 79/796262400],
[[[1, 11], [2, 5], [3, 2], [4, 1], [6, 1]], 2977/119439360],
[[[1, 11], [2, 5], [4, 1], [5, 1], [6, 1]], 23/33177600],
[[[1, 11], [2, 5], [4, 1], [6, 1], [8, 1]], 1/3317760],
[[[1, 11], [2, 7], [3, 1], [4, 1], [6, 1]], 231619/6370099200],
[[[1, 12], [2, 2], [3, 1], [4, 2], [5, 1]], 1/1105920],
[[[1, 12], [2, 2], [3, 1], [4, 3], [6, 1]], 1/1592524800],
[[[1, 12], [2, 2], [3, 2], [4, 1], [5, 1]], 341/49766400],
[[[1, 12], [2, 2], [3, 2], [4, 2], [6, 1]], 11/1194393600],
[[[1, 12], [2, 2], [3, 2], [5, 1], [6, 1]], 89/279936000],
[[[1, 12], [2, 2], [3, 3], [4, 1], [6, 1]], 347/1194393600],
[[[1, 12], [2, 4], [3, 1], [4, 1], [5, 1]], 583/33177600],
[[[1, 12], [2, 4], [3, 1], [4, 1], [6, 2]], 1/597196800],
[[[1, 12], [2, 4], [3, 1], [4, 2], [6, 1]], 4391/4777574400],
[[[1, 12], [2, 4], [3, 1], [5, 1], [6, 1]], 209/248832000],
[[[1, 12], [2, 4], [3, 2], [4, 1], [6, 1]], 727/223948800],
[[[1, 12], [2, 4], [4, 1], [5, 1], [6, 1]], 31/497664000],
[[[1, 12], [2, 6], [3, 1], [4, 1], [6, 1]], 2849/424673280],
[[[1, 13], [2, 1], [3, 1], [4, 2], [5, 1]], 11/995328000],
[[[1, 13], [2, 1], [3, 2], [4, 1], [5, 1]], 347/995328000],
[[[1, 13], [2, 1], [3, 2], [4, 2], [6, 1]], 1/3583180800],
[[[1, 13], [2, 1], [3, 2], [5, 1], [6, 1]], 7/746496000],
[[[1, 13], [2, 3], [3, 1], [4, 1], [5, 1]], 109/33177600],
[[[1, 13], [2, 3], [3, 1], [4, 2], [6, 1]], 11/1061683200],
[[[1, 13], [2, 3], [3, 1], [5, 1], [6, 1]], 209/2388787200],
[[[1, 13], [2, 3], [3, 2], [4, 1], [6, 1]], 931/3583180800],
[[[1, 13], [2, 3], [4, 1], [5, 1], [6, 1]], 1/497664000],
[[[1, 13], [2, 5], [3, 1], [4, 1], [6, 1]], 1579/1911029760],
[[[1, 14], [2, 2], [3, 1], [4, 1], [5, 1]], 283/995328000],
[[[1, 14], [2, 2], [3, 1], [4, 2], [6, 1]], 1/9555148800],
[[[1, 14], [2, 2], [3, 1], [5, 1], [6, 1]], 79/17915904000],
[[[1, 14], [2, 2], [3, 2], [4, 1], [6, 1]], 1/132710400],
[[[1, 14], [2, 4], [3, 1], [4, 1], [6, 1]], 3941/57330892800],
[[[1, 15], [2, 1], [3, 1], [4, 1], [5, 1]], 1/110592000],
[[[1, 15], [2, 1], [3, 1], [4, 2], [6, 1]], 1/429981696000],
[[[1, 15], [2, 1], [3, 1], [5, 1], [6, 1]], 1/11943936000],
[[[1, 15], [2, 3], [3, 1], [4, 1], [6, 1]], 197/57330892800],
[[[1, 16], [2, 2], [3, 1], [4, 1], [6, 1]], 19/286654464000],
[[[2, 2], [3, 1], [6, 4], [9, 1], [18, 1]], 1/5184],
[[[2, 2], [3, 2], [6, 1], [10, 1], [18, 2]], 1/12960],
[[[2, 2], [3, 2], [6, 1], [10, 2], [30, 1]], 1/3600],
[[[2, 2], [3, 2], [6, 3], [10, 1], [30, 1]], 1/12960],
[[[2, 2], [3, 3], [6, 2], [9, 1], [18, 1]], 1/5184],
[[[2, 2], [4, 2], [6, 1], [12, 2], [20, 1]], 1/2160],
[[[2, 2], [4, 4], [6, 1], [12, 1], [20, 1]], 1/2160],
[[[2, 2], [6, 1], [10, 1], [12, 1], [18, 2]], 1/2160],
[[[2, 2], [6, 1], [10, 2], [12, 1], [30, 1]], 1/600],
[[[2, 2], [6, 3], [10, 1], [12, 1], [30, 1]], 1/2160],
[[[2, 4], [3, 1], [6, 3], [9, 1], [18, 1]], 1/2592],
[[[2, 4], [3, 2], [4, 2], [6, 4], [12, 1]], 1/41472],
[[[2, 4], [3, 2], [6, 2], [10, 1], [30, 1]], 1/12960],
[[[2, 4], [3, 2], [6, 3], [10, 1], [18, 1]], 1/12960],
[[[2, 4], [6, 2], [10, 1], [12, 1], [30, 1]], 1/2160],
[[[2, 4], [6, 3], [10, 1], [12, 1], [18, 1]], 1/2160],
[[[2, 6], [3, 2], [4, 2], [6, 3], [12, 1]], 1/41472],
[[[2, 6], [3, 2], [6, 1], [10, 1], [30, 1]], 1/518400],
[[[2, 6], [6, 1], [10, 1], [12, 1], [30, 1]], 1/86400],
[[[2, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 1/1658880],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [12, 3]], 1/6912],
[[[1, 1], [2, 1], [3, 1], [4, 5], [6, 1], [12, 2]], 1/6912],
[[[1, 1], [2, 1], [3, 1], [4, 7], [6, 1], [12, 1]], 1/276480],
[[[1, 1], [2, 1], [3, 1], [6, 2], [12, 1], [18, 2]], 1/2592],
[[[1, 1], [2, 1], [3, 1], [6, 4], [9, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 1], [3, 1], [6, 4], [10, 1], [30, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 2], [5, 1], [6, 3], [15, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 2], [6, 1], [9, 2], [12, 1]], 1/2592],
[[[1, 1], [2, 1], [3, 2], [6, 3], [9, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 1], [3, 3], [6, 2], [9, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 1], [3, 3], [6, 2], [10, 1], [30, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 3], [9, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 4], [5, 1], [6, 1], [15, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 4], [6, 1], [9, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 1], [5, 1], [6, 3], [9, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [12, 3]], 1/2592],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 4], [12, 2]], 1/3456],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 6], [12, 1]], 1/20736],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [10, 3]], 1/144000],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/13824],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3], [10, 2]], 1/172800],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 5], [10, 1]], 1/622080],
[[[1, 1], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 1/2592],
[[[1, 1], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/103680],
[[[1, 1], [2, 3], [3, 1], [6, 1], [10, 1], [18, 2]], 1/2160],
[[[1, 1], [2, 3], [3, 1], [6, 1], [10, 2], [30, 1]], 1/600],
[[[1, 1], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 7/5184],
[[[1, 1], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 1/1080],
[[[1, 1], [2, 3], [3, 1], [6, 4], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 3], [3, 1], [6, 4], [12, 1], [18, 1]], 1/1296],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [18, 2]], 1/20736],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 1/1152],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 13/62208],
[[[1, 1], [2, 3], [3, 2], [4, 2], [6, 4], [12, 1]], 1/20736],
[[[1, 1], [2, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1/2160],
[[[1, 1], [2, 3], [3, 2], [6, 2], [9, 1], [18, 1]], 5/3888],
[[[1, 1], [2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 1/4320],
[[[1, 1], [2, 3], [3, 3], [4, 1], [6, 4], [12, 1]], 7/62208],
[[[1, 1], [2, 3], [3, 3], [4, 2], [5, 1], [6, 3]], 1/207360],
[[[1, 1], [2, 3], [3, 3], [4, 2], [6, 3], [12, 1]], 5/62208],
[[[1, 1], [2, 3], [3, 3], [6, 1], [9, 1], [18, 1]], 1/15552],
[[[1, 1], [2, 3], [3, 3], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 3], [3, 3], [6, 3], [8, 1], [10, 1]], 1/8640],
[[[1, 1], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 1/6912],
[[[1, 1], [2, 3], [4, 1], [6, 1], [12, 1], [18, 2]], 1/3456],
[[[1, 1], [2, 3], [4, 1], [6, 3], [9, 1], [18, 1]], 1/6912],
[[[1, 1], [2, 3], [4, 1], [6, 3], [10, 1], [30, 1]], 1/5760],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1/3456],
[[[1, 1], [2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 1/960],
[[[1, 1], [2, 3], [4, 3], [6, 1], [12, 1], [20, 1]], 1/720],
[[[1, 1], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 1], [2, 3], [5, 1], [6, 2], [9, 1], [18, 1]], 1/2160],
[[[1, 1], [2, 3], [6, 2], [10, 1], [12, 1], [30, 1]], 1/720],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [12, 3]], 1/82944],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [12, 2]], 1/3456],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 1/6912],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/13824],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 1/172800],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 1/311040],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 1/82944],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 1/55296],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 1/55296],
[[[1, 1], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1/3317760],
[[[1, 1], [2, 5], [3, 1], [6, 2], [9, 1], [18, 1]], 1/7680],
[[[1, 1], [2, 5], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2160],
[[[1, 1], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/1080],
[[[1, 1], [2, 5], [3, 1], [6, 3], [12, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 5], [3, 1], [6, 4], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 5], [3, 1], [9, 1], [12, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 1], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 5/13824],
[[[1, 1], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 5/41472],
[[[1, 1], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 5], [3, 2], [6, 1], [10, 1], [30, 1]], 1/34560],
[[[1, 1], [2, 5], [3, 3], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 1], [2, 5], [3, 3], [4, 1], [6, 3], [12, 1]], 7/62208],
[[[1, 1], [2, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 1/124416],
[[[1, 1], [2, 5], [4, 1], [6, 2], [9, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 5], [4, 1], [6, 2], [10, 1], [30, 1]], 1/2880],
[[[1, 1], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 5], [6, 1], [10, 1], [12, 1], [30, 1]], 1/5760],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 2], [12, 2]], 1/138240],
[[[1, 1], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 1/10240],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/552960],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 1/6912000],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 7/4147200],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/55296],
[[[1, 1], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 1/55296],
[[[1, 1], [2, 7], [3, 1], [6, 1], [9, 1], [18, 1]], 1/311040],
[[[1, 1], [2, 7], [3, 1], [6, 1], [10, 1], [30, 1]], 1/86400],
[[[1, 1], [2, 7], [3, 1], [6, 2], [12, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 1/103680],
[[[1, 1], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 17/1658880],
[[[1, 1], [2, 7], [3, 3], [4, 1], [6, 2], [12, 1]], 7/2488320],
[[[1, 1], [2, 7], [3, 3], [4, 2], [6, 1], [12, 1]], 1/4976640],
[[[1, 1], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 1/414720],
[[[1, 1], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 1/12441600],
[[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2211840],
[[[1, 1], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 1/2211840],
[[[1, 1], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 1/4976640],
[[[1, 1], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 1/995328000],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [9, 2]], 1/20736],
[[[1, 2], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 1/192],
[[[1, 2], [2, 2], [3, 1], [4, 1], [8, 2], [24, 1]], 1/144],
[[[1, 2], [2, 2], [3, 1], [4, 1], [9, 2], [12, 1]], 1/3456],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [12, 3]], 1/1152],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/768],
[[[1, 2], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 7/92160],
[[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [9, 2]], 1/6480],
[[[1, 2], [2, 2], [3, 1], [5, 2], [6, 1], [15, 1]], 1/1800],
[[[1, 2], [2, 2], [3, 1], [6, 1], [10, 1], [18, 2]], 1/6480],
[[[1, 2], [2, 2], [3, 1], [6, 1], [10, 2], [30, 1]], 1/1800],
[[[1, 2], [2, 2], [3, 1], [6, 3], [9, 1], [18, 1]], 1/1296],
[[[1, 2], [2, 2], [3, 1], [6, 3], [10, 1], [30, 1]], 1/648],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [18, 2]], 1/20736],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 3], [12, 2]], 1/864],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 5], [12, 1]], 1/5184],
[[[1, 2], [2, 2], [3, 2], [4, 2], [5, 2], [6, 2]], 1/115200],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 5/20736],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [10, 2]], 1/115200],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/4608],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 4], [10, 1]], 1/207360],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 4], [12, 1]], 1/41472],
[[[1, 2], [2, 2], [3, 2], [4, 2], [8, 2], [10, 1]], 1/11520],
[[[1, 2], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 1/720],
[[[1, 2], [2, 2], [3, 2], [5, 1], [6, 4], [8, 1]], 1/25920],
[[[1, 2], [2, 2], [3, 2], [5, 1], [8, 1], [10, 2]], 1/7200],
[[[1, 2], [2, 2], [3, 2], [6, 2], [9, 1], [18, 1]], 1/648],
[[[1, 2], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1/720],
[[[1, 2], [2, 2], [3, 2], [6, 3], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 2], [3, 2], [9, 1], [10, 1], [18, 1]], 1/720],
[[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [15, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 1/864],
[[[1, 2], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 19/46656],
[[[1, 2], [2, 2], [3, 3], [4, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 2], [3, 3], [4, 2], [6, 3], [12, 1]], 5/31104],
[[[1, 2], [2, 2], [3, 3], [5, 1], [6, 1], [15, 1]], 1/648],
[[[1, 2], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 1/1296],
[[[1, 2], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 2], [2, 2], [3, 4], [4, 1], [6, 3], [12, 1]], 19/46656],
[[[1, 2], [2, 2], [3, 4], [4, 2], [5, 1], [6, 2]], 1/207360],
[[[1, 2], [2, 2], [3, 4], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 2], [2, 2], [3, 4], [6, 2], [8, 1], [10, 1]], 1/25920],
[[[1, 2], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 1/5184],
[[[1, 2], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/192],
[[[1, 2], [2, 2], [4, 1], [6, 1], [8, 2], [24, 1]], 1/144],
[[[1, 2], [2, 2], [4, 1], [6, 1], [12, 1], [18, 2]], 1/3456],
[[[1, 2], [2, 2], [4, 1], [6, 3], [9, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 2], [4, 1], [6, 3], [10, 1], [30, 1]], 1/5760],
[[[1, 2], [2, 2], [4, 2], [5, 1], [6, 2], [8, 2]], 1/11520],
[[[1, 2], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 1/3200],
[[[1, 2], [2, 2], [5, 1], [6, 2], [9, 1], [18, 1]], 1/720],
[[[1, 2], [2, 2], [5, 2], [6, 2], [8, 1], [10, 1]], 1/7200],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [9, 2]], 1/10368],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 1/24000],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [12, 3]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [18, 2]], 1/3456],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/13824],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 1/28800],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [12, 2]], 1/1152],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [10, 1]], 1/103680],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 1/2304],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/4608],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/57600],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 17/6912],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/20736],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 1/103680],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 11/41472],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/6144],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/20736],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 1/138240],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/18432],
[[[1, 2], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 1/276480],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/3600],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/12960],
[[[1, 2], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 49/41472],
[[[1, 2], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 1/648],
[[[1, 2], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/648],
[[[1, 2], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 4], [3, 1], [9, 1], [12, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 1/103680],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [12, 2]], 1/3456],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 5/41472],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 19/10368],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/41472],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 1/20736],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 1/207360],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/2592],
[[[1, 2], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 1/92160],
[[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 5/82944],
[[[1, 2], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4608],
[[[1, 2], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 1/3600],
[[[1, 2], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 1/25920],
[[[1, 2], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 2], [2, 4], [3, 2], [6, 1], [9, 1], [18, 1]], 17/41472],
[[[1, 2], [2, 4], [3, 2], [6, 1], [10, 1], [30, 1]], 1/11520],
[[[1, 2], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/720],
[[[1, 2], [2, 4], [3, 2], [6, 3], [10, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 4], [3, 3], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 1/13824],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 17/10368],
[[[1, 2], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 25/62208],
[[[1, 2], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 4], [3, 4], [4, 1], [6, 2], [10, 1]], 1/103680],
[[[1, 2], [2, 4], [3, 4], [4, 1], [6, 2], [12, 1]], 13/186624],
[[[1, 2], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 2], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800],
[[[1, 2], [2, 4], [4, 1], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 1/720],
[[[1, 2], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 1/3456],
[[[1, 2], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 1/960],
[[[1, 2], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 2], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 2], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/864],
[[[1, 2], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/7200],
[[[1, 2], [2, 4], [6, 1], [9, 1], [12, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 4], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1920],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [12, 2]], 1/9216],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1/1728],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 13/18432],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/36864],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/460800],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/13824],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/92160],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 163/331776],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 17/165888],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/138240],
[[[1, 2], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 1/24576],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 5/110592],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/11520],
[[[1, 2], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 23/129600],
[[[1, 2], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 1/25920],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [12, 2]], 1/138240],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 5/41472],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 401/829440],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1/20736],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 901/8294400],
[[[1, 2], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 113/829440],
[[[1, 2], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 1/165888],
[[[1, 2], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1/1036800],
[[[1, 2], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/12960],
[[[1, 2], [2, 6], [3, 2], [5, 1], [8, 1], [10, 1]], 1/1036800],
[[[1, 2], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 113/2488320],
[[[1, 2], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 17/4976640],
[[[1, 2], [2, 6], [3, 4], [4, 1], [6, 1], [12, 1]], 13/7464960],
[[[1, 2], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 1/28800],
[[[1, 2], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/46080],
[[[1, 2], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1/552960],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/512000],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 83/2764800],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/23040],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 7/276480],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1/691200],
[[[1, 2], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 17/1658880],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 53/6635520],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 1/5529600],
[[[1, 2], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/122880],
[[[1, 2], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1/86400],
[[[1, 2], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 19/16588800],
[[[1, 2], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 1/4147200],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 1/331776],
[[[1, 2], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 23/1658880],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/829440],
[[[1, 2], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 1/518400],
[[[1, 2], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 1/14929920],
[[[1, 2], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 1/460800],
[[[1, 2], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 13/8294400],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 1/1658880],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1/33177600],
[[[1, 2], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 1/4423680],
[[[1, 2], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 1/4147200],
[[[1, 2], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 7/331776000],
[[[1, 2], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/864],
[[[1, 2], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1/10368],
[[[1, 3], [2, 1], [3, 1], [4, 1], [6, 2], [9, 2]], 1/20736],
[[[1, 3], [2, 1], [3, 1], [4, 1], [9, 2], [12, 1]], 1/3456],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 3], [6, 1]], 1/144000],
[[[1, 3], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 1/3456],
[[[1, 3], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 1/960],
[[[1, 3], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 1/720],
[[[1, 3], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [9, 2]], 1/2160],
[[[1, 3], [2, 1], [3, 1], [5, 2], [6, 1], [15, 1]], 1/600],
[[[1, 3], [2, 1], [3, 1], [6, 3], [9, 1], [18, 1]], 1/15552],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [12, 3]], 1/2592],
[[[1, 3], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/2592],
[[[1, 3], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/103680],
[[[1, 3], [2, 1], [3, 2], [5, 1], [6, 2], [15, 1]], 1/4320],
[[[1, 3], [2, 1], [3, 2], [5, 1], [6, 3], [9, 1]], 1/4320],
[[[1, 3], [2, 1], [3, 2], [5, 1], [12, 1], [15, 1]], 1/720],
[[[1, 3], [2, 1], [3, 2], [6, 2], [9, 1], [18, 1]], 5/3888],
[[[1, 3], [2, 1], [3, 2], [6, 2], [10, 1], [30, 1]], 1/2160],
[[[1, 3], [2, 1], [3, 2], [9, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [15, 1]], 1/5760],
[[[1, 3], [2, 1], [3, 3], [4, 1], [6, 2], [12, 2]], 1/1152],
[[[1, 3], [2, 1], [3, 3], [4, 1], [6, 4], [12, 1]], 1/6912],
[[[1, 3], [2, 1], [3, 3], [4, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 1], [3, 3], [4, 2], [5, 2], [6, 1]], 1/172800],
[[[1, 3], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/13824],
[[[1, 3], [2, 1], [3, 3], [4, 2], [6, 3], [10, 1]], 1/207360],
[[[1, 3], [2, 1], [3, 3], [4, 2], [6, 3], [12, 1]], 5/62208],
[[[1, 3], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1/1080],
[[[1, 3], [2, 1], [3, 3], [5, 1], [6, 3], [8, 1]], 1/8640],
[[[1, 3], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 7/5184],
[[[1, 3], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 1/3456],
[[[1, 3], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 7/62208],
[[[1, 3], [2, 1], [3, 4], [4, 2], [6, 2], [12, 1]], 1/20736],
[[[1, 3], [2, 1], [3, 4], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 3], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 1/1296],
[[[1, 3], [2, 1], [3, 5], [4, 1], [6, 2], [12, 1]], 13/62208],
[[[1, 3], [2, 1], [3, 5], [4, 2], [5, 1], [6, 1]], 1/622080],
[[[1, 3], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [9, 2]], 1/2592],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [12, 3]], 1/4608],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [18, 2]], 1/2592],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 1/6912],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/13824],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/768],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 11/41472],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 1/192],
[[[1, 3], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/3840],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 1/76800],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/3072],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/76800],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 13/4608],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/55296],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 1/138240],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/18432],
[[[1, 3], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 91/184320],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [15, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/2400],
[[[1, 3], [2, 3], [3, 1], [5, 1], [12, 1], [15, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 1/10800],
[[[1, 3], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 313/124416],
[[[1, 3], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 1/2160],
[[[1, 3], [2, 3], [3, 1], [9, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 4]], 1/51840],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 1/14400],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [15, 1]], 1/960],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 1/19200],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 5/20736],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 1/19200],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [12, 2]], 7/2304],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 1/6912],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 1/41472],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [10, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 67/41472],
[[[1, 3], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 3], [2, 3], [3, 2], [4, 1], [9, 1], [18, 1]], 1/1152],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/13824],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/768],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 5/31104],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/69120],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 85/124416],
[[[1, 3], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/92160],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 5/31104],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 1/3072],
[[[1, 3], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 1/10800],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2160],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/2160],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 17/48600],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 3], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 313/124416],
[[[1, 3], [2, 3], [3, 2], [6, 1], [10, 1], [30, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 1/2160],
[[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/6912],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 29/62208],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 11/3456],
[[[1, 3], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 1/69120],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 5/31104],
[[[1, 3], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 85/124416],
[[[1, 3], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 1/138240],
[[[1, 3], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 3], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 17/48600],
[[[1, 3], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 3], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 1/34560],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/41472],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 1/51840],
[[[1, 3], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 67/41472],
[[[1, 3], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 11/41472],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/11520],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/3200],
[[[1, 3], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 1/14400],
[[[1, 3], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 3], [2, 3], [4, 1], [6, 2], [9, 1], [18, 1]], 1/1152],
[[[1, 3], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 1/960],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 3], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 1/192],
[[[1, 3], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 3], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 3], [6, 1], [9, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 3], [6, 1], [10, 1], [12, 1], [30, 1]], 1/5760],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 1/28800],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/4608],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 13/86400],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [12, 2]], 1/2304],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/648],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/20736],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 5/62208],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 263/248832],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 35/110592],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 13/153600],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/3072],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 17/276480],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 659/331776],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/3072],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/17280],
[[[1, 3], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 7/9216],
[[[1, 3], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/5120],
[[[1, 3], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 1/122880],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 7/36864],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 11/368640],
[[[1, 3], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [15, 1]], 1/17280],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/3456],
[[[1, 3], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/10800],
[[[1, 3], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 1/1728],
[[[1, 3], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/12960],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/41472],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [12, 2]], 1/9216],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 1/3456],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 1/1152],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/2304],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/2880],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1289/497664],
[[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 49/552960],
[[[1, 3], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 85/165888],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 133/552960],
[[[1, 3], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 2273/995328],
[[[1, 3], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 71/497664],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 3], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 13/43200],
[[[1, 3], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 1/51840],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/31104],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 11/34560],
[[[1, 3], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 11/20736],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/62208],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 53/2488320],
[[[1, 3], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 1/38880],
[[[1, 3], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 13/497664],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 3], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 3], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 23/76800],
[[[1, 3], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 17/138240],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 1/921600],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 1/36864],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 107/2764800],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 1/18432],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 779/4976640],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 29/110592],
[[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 7/138240],
[[[1, 3], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 1/691200],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 5/18432],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 1/13824],
[[[1, 3], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 43/414720],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 163/1105920],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 7/92160],
[[[1, 3], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 3], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 263/16588800],
[[[1, 3], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 17/4147200],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 13/138240],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 389/5529600],
[[[1, 3], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 31/155520],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 11/414720],
[[[1, 3], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 37/1244160],
[[[1, 3], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 17/518400],
[[[1, 3], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1658880],
[[[1, 3], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1/1244160],
[[[1, 3], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 17/1658880],
[[[1, 3], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 19/276480],
[[[1, 3], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 7/230400],
[[[1, 3], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 1/460800],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 61/2073600],
[[[1, 3], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 1/829440],
[[[1, 3], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 31/22118400],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 1/73728],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 23/11059200],
[[[1, 3], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/207360],
[[[1, 3], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 7/1382400],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 1/829440],
[[[1, 3], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 1/2488320],
[[[1, 3], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 17/1382400],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 1/6635520],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 19/24883200],
[[[1, 3], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 1/39813120],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 1/24000],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [9, 2]], 1/3456],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [12, 3]], 1/6912],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [18, 2]], 1/10368],
[[[1, 4], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/41472],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 1/3456],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 1/960],
[[[1, 4], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/11520],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/76800],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/6144],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 1/6912],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 1/55296],
[[[1, 4], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 1/864],
[[[1, 4], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 2], [3, 1], [5, 1], [6, 2], [15, 1]], 1/11520],
[[[1, 4], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 1/7200],
[[[1, 4], [2, 2], [3, 1], [5, 1], [12, 1], [15, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/3600],
[[[1, 4], [2, 2], [3, 1], [6, 2], [9, 1], [18, 1]], 17/41472],
[[[1, 4], [2, 2], [3, 1], [9, 1], [12, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4]], 1/103680],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 1/720],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [12, 2]], 1/3456],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 13/186624],
[[[1, 4], [2, 2], [3, 2], [4, 1], [9, 1], [18, 1]], 1/864],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/4608],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 17/6912],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 25/62208],
[[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 5/82944],
[[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4608],
[[[1, 4], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/46080],
[[[1, 4], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/648],
[[[1, 4], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/720],
[[[1, 4], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/3600],
[[[1, 4], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 49/41472],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3]], 1/17280],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 1/28800],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/13824],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [12, 2]], 1/1152],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 1/13824],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 17/10368],
[[[1, 4], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/207360],
[[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 1/20736],
[[[1, 4], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/2592],
[[[1, 4], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/138240],
[[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 1/20736],
[[[1, 4], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/648],
[[[1, 4], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/12960],
[[[1, 4], [2, 2], [3, 3], [5, 1], [6, 2], [12, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 3], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 4], [2, 2], [3, 3], [6, 2], [8, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 5/41472],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [10, 1]], 1/103680],
[[[1, 4], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 19/10368],
[[[1, 4], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 1/103680],
[[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/20736],
[[[1, 4], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 11/41472],
[[[1, 4], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1]], 1/103680],
[[[1, 4], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/28800],
[[[1, 4], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 4], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 4], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 4], [2, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/12960],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 13/28800],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/28800],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/86400],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [12, 2]], 1/2304],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 5/5184],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 1/10368],
[[[1, 4], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/17280],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 37/460800],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 103/165888],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 37/460800],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1/1536],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 37/829440],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 251/165888],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/103680],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680],
[[[1, 4], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 5/13824],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/46080],
[[[1, 4], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 11/27648],
[[[1, 4], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/3072],
[[[1, 4], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/36864],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 11/36864],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/36864],
[[[1, 4], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 25/18432],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/3200],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [15, 1]], 1/2880],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/25920],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/3200],
[[[1, 4], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 5/5184],
[[[1, 4], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 1/2880],
[[[1, 4], [2, 4], [3, 1], [6, 2], [12, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 7/34560],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/86400],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/13824],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [12, 2]], 1/2304],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/864],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/864],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 41/124416],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/5184],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 31/10368],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 41/184320],
[[[1, 4], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 83/82944],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 41/184320],
[[[1, 4], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 2147/497664],
[[[1, 4], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 7/23040],
[[[1, 4], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 5/13824],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/103680],
[[[1, 4], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 11/27648],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/23040],
[[[1, 4], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2400],
[[[1, 4], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 4], [3, 2], [6, 1], [9, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/5184],
[[[1, 4], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 5/5184],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 41/124416],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 7/34560],
[[[1, 4], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 31/10368],
[[[1, 4], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 37/829440],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 251/165888],
[[[1, 4], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1/311040],
[[[1, 4], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/12960],
[[[1, 4], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/10368],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 4], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 13/28800],
[[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 7/23040],
[[[1, 4], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 11/12800],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/3072],
[[[1, 4], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/10368],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 13/921600],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 17/110592],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 163/1382400],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 19/82944],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 523/2488320],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 211/331776],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 13/69120],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/46080],
[[[1, 4], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1/5120],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 19/20736],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 103/207360],
[[[1, 4], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 157/331776],
[[[1, 4], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 11/46080],
[[[1, 4], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 419/3317760],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 373/442368],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 7/20480],
[[[1, 4], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 443/1105920],
[[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 1/25920],
[[[1, 4], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 19/51840],
[[[1, 4], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 23/518400],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 61/307200],
[[[1, 4], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 53/2073600],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 167/331776],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 227/663552],
[[[1, 4], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 4651/4976640],
[[[1, 4], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/138240],
[[[1, 4], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 1/138240],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 23/82944],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 157/995328],
[[[1, 4], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 7/34560],
[[[1, 4], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 13/1658880],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 7/248832],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/51840],
[[[1, 4], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 83/276480],
[[[1, 4], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 29/153600],
[[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 11/46080],
[[[1, 4], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2560],
[[[1, 4], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 4], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 59/2073600],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/691200],
[[[1, 4], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 37/1036800],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 5/41472],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 1153/8294400],
[[[1, 4], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 13/829440],
[[[1, 4], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 241/11059200],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 37/207360],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 3697/33177600],
[[[1, 4], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 133/3317760],
[[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1/1036800],
[[[1, 4], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 7/129600],
[[[1, 4], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 31/8294400],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 19/829440],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 1/2073600],
[[[1, 4], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 59/7464960],
[[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/115200],
[[[1, 4], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 43/345600],
[[[1, 4], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 47/66355200],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 29/6635520],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 449/49766400],
[[[1, 4], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1658880],
[[[1, 4], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 4], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/10368],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [12, 3]], 1/82944],
[[[1, 5], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/82944],
[[[1, 5], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/3317760],
[[[1, 5], [2, 1], [3, 1], [5, 1], [6, 2], [15, 1]], 1/34560],
[[[1, 5], [2, 1], [3, 1], [5, 1], [12, 1], [15, 1]], 1/5760],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/2880],
[[[1, 5], [2, 1], [3, 2], [4, 1], [9, 1], [18, 1]], 1/3456],
[[[1, 5], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/172800],
[[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/13824],
[[[1, 5], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 1/124416],
[[[1, 5], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 1/18432],
[[[1, 5], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 1/2160],
[[[1, 5], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 1/7680],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 5], [2, 1], [3, 3], [4, 1], [6, 1], [12, 2]], 1/3456],
[[[1, 5], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 5], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 7/62208],
[[[1, 5], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 5/41472],
[[[1, 5], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 5], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/1080],
[[[1, 5], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 1/2592],
[[[1, 5], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 5/13824],
[[[1, 5], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/311040],
[[[1, 5], [2, 1], [3, 4], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/103680],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/5760],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/41472],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [12, 2]], 1/9216],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 13/497664],
[[[1, 5], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/34560],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 13/153600],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 35/110592],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1/2304],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/62208],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 53/2488320],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/34560],
[[[1, 5], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 71/497664],
[[[1, 5], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 1/6144],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 17/138240],
[[[1, 5], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/1152],
[[[1, 5], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 11/368640],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 7/36864],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/122880],
[[[1, 5], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1/4608],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 1/10800],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 1/1728],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/38880],
[[[1, 5], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 5], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 1], [6, 1], [10, 1], [30, 1]], 1/17280],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 11/34560],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 13/86400],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/4608],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [12, 2]], 1/2304],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/1152],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/3456],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/31104],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1/51840],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 11/20736],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 133/552960],
[[[1, 5], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 85/165888],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 49/552960],
[[[1, 5], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 2273/995328],
[[[1, 5], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/17280],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/3072],
[[[1, 5], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 7/9216],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/7680],
[[[1, 5], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 13/43200],
[[[1, 5], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/2880],
[[[1, 5], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 1/648],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/2304],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/12960],
[[[1, 5], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1289/497664],
[[[1, 5], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 17/276480],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/3072],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 659/331776],
[[[1, 5], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/3456],
[[[1, 5], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 5/62208],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/20736],
[[[1, 5], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 263/248832],
[[[1, 5], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/3200],
[[[1, 5], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/34560],
[[[1, 5], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/46080],
[[[1, 5], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 23/76800],
[[[1, 5], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/5120],
[[[1, 5], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/3240],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 37/460800],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 49/165888],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 37/460800],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 19/165888],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 37/829440],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 71/124416],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 59/138240],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/5120],
[[[1, 5], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 67/115200],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 145/165888],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 19/55296],
[[[1, 5], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 227/622080],
[[[1, 5], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 17/27648],
[[[1, 5], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 17/46080],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 2813/1990656],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 17/46080],
[[[1, 5], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 23/24576],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 5], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 91/172800],
[[[1, 5], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/6912],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 839/1658880],
[[[1, 5], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 7/27648],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 1/1152],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 839/1658880],
[[[1, 5], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 257/165888],
[[[1, 5], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 19/55296],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 145/165888],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 59/138240],
[[[1, 5], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 227/622080],
[[[1, 5], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 91/172800],
[[[1, 5], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 37/829440],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 19/165888],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/3240],
[[[1, 5], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 71/124416],
[[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/4320],
[[[1, 5], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 7/27648],
[[[1, 5], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 17/27648],
[[[1, 5], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 67/115200],
[[[1, 5], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 5], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/6912],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1/5184],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1/46080],
[[[1, 5], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 157/829440],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 1/2304],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 5], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 163/2488320],
[[[1, 5], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 5], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 2153/11059200],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 2863/3317760],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 181/368640],
[[[1, 5], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 529/3110400],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 5], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 1099/4147200],
[[[1, 5], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1/57600],
[[[1, 5], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 23/414720],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 139/829440],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 47/259200],
[[[1, 5], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 13/276480],
[[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 7/69120],
[[[1, 5], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 109/276480],
[[[1, 5], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 5], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 53/4147200],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 59/1105920],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 7/115200],
[[[1, 5], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 5/995328],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/28800],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2]], 1/138240],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 13/7464960],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/460800],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/36864],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 17/4976640],
[[[1, 6], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/165888],
[[[1, 6], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 1/92160],
[[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1/24576],
[[[1, 6], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 5/110592],
[[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 23/129600],
[[[1, 6], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/28800],
[[[1, 6], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 1/17280],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/14400],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/13824],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2]], 1/9216],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 113/2488320],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 901/8294400],
[[[1, 6], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/20736],
[[[1, 6], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 113/829440],
[[[1, 6], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/138240],
[[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 17/165888],
[[[1, 6], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/12960],
[[[1, 6], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 1/6912],
[[[1, 6], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/1036800],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/1728],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 5/41472],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 1/25920],
[[[1, 6], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 401/829440],
[[[1, 6], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/92160],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/13824],
[[[1, 6], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 163/331776],
[[[1, 6], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/25920],
[[[1, 6], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 13/18432],
[[[1, 6], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/1036800],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/51840],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 163/1382400],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 17/110592],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 13/921600],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 7/248832],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 13/1658880],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 1/6912],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 1/2880],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 7/46080],
[[[1, 6], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1/2560],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 23/82944],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/138240],
[[[1, 6], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 157/995328],
[[[1, 6], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 11/46080],
[[[1, 6], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 7/20480],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 373/442368],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 419/3317760],
[[[1, 6], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 443/1105920],
[[[1, 6], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 7/34560],
[[[1, 6], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 227/663552],
[[[1, 6], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 83/276480],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 167/331776],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 61/307200],
[[[1, 6], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 4651/4976640],
[[[1, 6], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 103/207360],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 19/20736],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 13/69120],
[[[1, 6], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 157/331776],
[[[1, 6], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 19/51840],
[[[1, 6], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/25920],
[[[1, 6], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 523/2488320],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 19/82944],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/10368],
[[[1, 6], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 211/331776],
[[[1, 6], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/138240],
[[[1, 6], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 53/2073600],
[[[1, 6], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 29/153600],
[[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 11/46080],
[[[1, 6], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5120],
[[[1, 6], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 23/518400],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 1/2304],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/15360],
[[[1, 6], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 49/103680],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 79/165888],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 91/331776],
[[[1, 6], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 319/3110400],
[[[1, 6], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 17/69120],
[[[1, 6], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 1261/2211840],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 241/165888],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 1261/2211840],
[[[1, 6], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 24991/99532800],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 6], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 373/691200],
[[[1, 6], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 91/331776],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 79/165888],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1/2304],
[[[1, 6], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 319/3110400],
[[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 17/69120],
[[[1, 6], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 49/103680],
[[[1, 6], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 511/5529600],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 343/1327104],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 6907/33177600],
[[[1, 6], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 1367/74649600],
[[[1, 6], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/414720],
[[[1, 7], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/6912000],
[[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/552960],
[[[1, 7], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 1/4976640],
[[[1, 7], [2, 1], [3, 1], [5, 1], [6, 1], [15, 1]], 1/86400],
[[[1, 7], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/311040],
[[[1, 7], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2]], 1/138240],
[[[1, 7], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 7/2488320],
[[[1, 7], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 17/1658880],
[[[1, 7], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/55296],
[[[1, 7], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/55296],
[[[1, 7], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1]], 1/103680],
[[[1, 7], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 1/103680],
[[[1, 7], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 7/4147200],
[[[1, 7], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 1/10240],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 107/2764800],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1/36864],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/921600],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/1244160],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1658880],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 17/1658880],
[[[1, 7], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 1/7680],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 11/414720],
[[[1, 7], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 37/1244160],
[[[1, 7], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 7/230400],
[[[1, 7], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 1/9600],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 163/1105920],
[[[1, 7], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 7/92160],
[[[1, 7], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 17/518400],
[[[1, 7], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 389/5529600],
[[[1, 7], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 19/276480],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 13/138240],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 263/16588800],
[[[1, 7], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 31/155520],
[[[1, 7], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 1/13824],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 5/18432],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 7/138240],
[[[1, 7], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 43/414720],
[[[1, 7], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 779/4976640],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/18432],
[[[1, 7], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 29/110592],
[[[1, 7], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 17/4147200],
[[[1, 7], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 7], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 47/259200],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1/46080],
[[[1, 7], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 109/276480],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 139/829440],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 23/414720],
[[[1, 7], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 13/276480],
[[[1, 7], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 7/69120],
[[[1, 7], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 181/368640],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 2863/3317760],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 2153/11059200],
[[[1, 7], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 529/3110400],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1/57600],
[[[1, 7], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 1099/4147200],
[[[1, 7], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 7], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 1/2880],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 1/2304],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 1/5184],
[[[1, 7], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 163/2488320],
[[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 7], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 157/829440],
[[[1, 7], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 2113/8294400],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 7777/16588800],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 2113/8294400],
[[[1, 7], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 977/33177600],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/512000],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/552960],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/14929920],
[[[1, 8], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/46080],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/829440],
[[[1, 8], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/552960],
[[[1, 8], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/5529600],
[[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 53/6635520],
[[[1, 8], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 1/122880],
[[[1, 8], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/518400],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/331776],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 19/16588800],
[[[1, 8], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 23/1658880],
[[[1, 8], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1/691200],
[[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 7/276480],
[[[1, 8], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 17/1658880],
[[[1, 8], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/86400],
[[[1, 8], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 83/2764800],
[[[1, 8], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 8], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4147200],
[[[1, 8], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/460800],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 1/2073600],
[[[1, 8], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 43/345600],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 19/829440],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 31/8294400],
[[[1, 8], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 59/7464960],
[[[1, 8], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1/115200],
[[[1, 8], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 3697/33177600],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 37/207360],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 241/11059200],
[[[1, 8], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 133/3317760],
[[[1, 8], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 7/129600],
[[[1, 8], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/1036800],
[[[1, 8], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1153/8294400],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 5/41472],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 59/2073600],
[[[1, 8], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 13/829440],
[[[1, 8], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 37/1036800],
[[[1, 8], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/691200],
[[[1, 8], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 6907/33177600],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 343/1327104],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 511/5529600],
[[[1, 8], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 1367/74649600],
[[[1, 9], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/2211840],
[[[1, 9], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/2211840],
[[[1, 9], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 1/4976640],
[[[1, 9], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/12441600],
[[[1, 9], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/414720],
[[[1, 9], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 17/1382400],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/829440],
[[[1, 9], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/2488320],
[[[1, 9], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 23/11059200],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1/73728],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 31/22118400],
[[[1, 9], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1/207360],
[[[1, 9], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 7/1382400],
[[[1, 9], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 61/2073600],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1/138240],
[[[1, 9], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 1/829440],
[[[1, 9], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/460800],
[[[1, 9], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 7/115200],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 59/1105920],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 53/4147200],
[[[1, 9], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 5/995328],
[[[1, 10], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 1/33177600],
[[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/1658880],
[[[1, 10], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/4423680],
[[[1, 10], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/4147200],
[[[1, 10], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 13/8294400],
[[[1, 10], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 449/49766400],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 29/6635520],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 47/66355200],
[[[1, 10], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1658880],
[[[1, 11], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/995328000],
[[[1, 11], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 19/24883200],
[[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/6635520],
[[[1, 11], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/39813120],
[[[1, 12], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 7/331776000],
[[[2, 2], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 1/864],
[[[2, 2], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1/10368],
[[[2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/10368],
[[[2, 4], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/414720],
[[[1, 1], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/1920],
[[[1, 1], [2, 1], [3, 1], [6, 2], [9, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 1], [3, 1], [6, 2], [10, 1], [12, 1], [30, 1]], 1/720],
[[[1, 1], [2, 1], [3, 1], [9, 1], [10, 1], [12, 1], [18, 1]], 1/720],
[[[1, 1], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1], [15, 1]], 1/720],
[[[1, 1], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 1], [3, 3], [4, 1], [6, 3], [8, 1], [12, 1]], 5/15552],
[[[1, 1], [2, 1], [5, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/720],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/960],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [20, 1]], 1/720],
[[[1, 1], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/34560],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 1/384],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/2400],
[[[1, 1], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/8640],
[[[1, 1], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 1], [2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/2592],
[[[1, 1], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/720],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/5760],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/3456],
[[[1, 1], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 1/4320],
[[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 1], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 1], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/31104],
[[[1, 1], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 7/17280],
[[[1, 1], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 1], [2, 3], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/1152],
[[[1, 1], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/960],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/23040],
[[[1, 1], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/2880],
[[[1, 1], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 1], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 1], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 1], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 1], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 1], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1244160],
[[[1, 1], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/34560],
[[[1, 1], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1382400],
[[[1, 1], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 1], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 1], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1382400],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/960],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 13/51840],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/960],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 1/144],
[[[1, 2], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 1/1152],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/17280],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/320],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 1/192],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/720],
[[[1, 2], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/720],
[[[1, 2], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/432],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/12960],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/960],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 1/144],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/11520],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 17/32400],
[[[1, 2], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/10368],
[[[1, 2], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/12960],
[[[1, 2], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 2], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 13/51840],
[[[1, 2], [2, 2], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/1152],
[[[1, 2], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/960],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/2880],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/2304],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/960],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 1/1152],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1152],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/960],
[[[1, 2], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/6912],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/864],
[[[1, 2], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 2], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/2880],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 17/129600],
[[[1, 2], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/12960],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2304],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 17/82944],
[[[1, 2], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/640],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 2], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/25920],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 2], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/103680],
[[[1, 2], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/6912],
[[[1, 2], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/86400],
[[[1, 2], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 17/1382400],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 31/552960],
[[[1, 2], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/103680],
[[[1, 2], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/518400],
[[[1, 2], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/414720],
[[[1, 2], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 17/1382400],
[[[1, 2], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/4147200],
[[[1, 2], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3317760],
[[[1, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/5760],
[[[1, 3], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/960],
[[[1, 3], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 1/1152],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/34560],
[[[1, 3], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 1/384],
[[[1, 3], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/2160],
[[[1, 3], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/2592],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/960],
[[[1, 3], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 7/17280],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [20, 1]], 1/720],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/31104],
[[[1, 3], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760],
[[[1, 3], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/720],
[[[1, 3], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320],
[[[1, 3], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 1], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/720],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 23/17280],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/432],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/720],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/1280],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 1/192],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1152],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/17280],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 13/34560],
[[[1, 3], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 3], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5120],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 3], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 3], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 17/64800],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 19/11520],
[[[1, 3], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 49/124416],
[[[1, 3], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 19/11520],
[[[1, 3], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/4608],
[[[1, 3], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 13/34560],
[[[1, 3], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 23/17280],
[[[1, 3], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8640],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 3], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/8640],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 13/13824],
[[[1, 3], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/17280],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/19200],
[[[1, 3], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 53/691200],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1536],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 17/36864],
[[[1, 3], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 19/92160],
[[[1, 3], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/69120],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 23/103680],
[[[1, 3], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 23/622080],
[[[1, 3], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/17280],
[[[1, 3], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/345600],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 113/691200],
[[[1, 3], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/1382400],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/276480],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/960],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/103680],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/2880],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/1920],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 1/1152],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/3840],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5120],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/25920],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2304],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 17/129600],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/640],
[[[1, 4], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 17/82944],
[[[1, 4], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/12960],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/864],
[[[1, 4], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 4], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/960],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 7/17280],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 217/259200],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 7/25920],
[[[1, 4], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 5/41472],
[[[1, 4], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1920],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 23/38400],
[[[1, 4], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 11/46080],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 49/18432],
[[[1, 4], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 11/46080],
[[[1, 4], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 317/518400],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 217/259200],
[[[1, 4], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 7/17280],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 5/41472],
[[[1, 4], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 7/25920],
[[[1, 4], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/69120],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 3013/4147200],
[[[1, 4], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 17/518400],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/23040],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1171/3317760],
[[[1, 4], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/9600],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/23040],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/1244160],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 5], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 5], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 23/103680],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/17280],
[[[1, 5], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 23/622080],
[[[1, 5], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1536],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 7/19200],
[[[1, 5], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 19/92160],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 17/36864],
[[[1, 5], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 53/691200],
[[[1, 5], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 17/69120],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2160],
[[[1, 5], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/8640],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 13/13824],
[[[1, 5], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/46080],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 2671/2073600],
[[[1, 5], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/46080],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 3347/6220800],
[[[1, 5], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/103680],
[[[1, 6], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/414720],
[[[1, 6], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/518400],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 31/552960],
[[[1, 6], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 17/1382400],
[[[1, 6], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 6], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/6912],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 6], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/86400],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/23040],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 3013/4147200],
[[[1, 6], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/69120],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1171/3317760],
[[[1, 6], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 17/518400],
[[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/552960],
[[[1, 7], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1382400],
[[[1, 7], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 7], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 113/691200],
[[[1, 7], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/276480],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/345600],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 7], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/1382400],
[[[1, 8], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 17/1382400],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4147200],
[[[1, 9], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1382400],
[[[2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/96],
[[[1, 1], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/8640],
[[[1, 1], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 1], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/345600],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/3600],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800],
[[[1, 2], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/3600],
[[[1, 2], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/28800],
[[[1, 2], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/9600],
[[[1, 3], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/3200],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800],
[[[1, 3], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/28800],
[[[1, 4], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/345600],
[[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2400]
]}