{[ [[[1, 25]], 1/3669177139200], [[[2, 25]], 1/3669177139200], [[[1, 1], [2, 24]], 19/1223059046400], [[[1, 2], [2, 23]], 13/33973862400], [[[1, 3], [2, 22]], 4927/917294284800], [[[1, 4], [2, 21]], 43873/917294284800], [[[1, 5], [2, 20]], 87263/305764761600], [[[1, 5], [4, 10]], 1/8847360], [[[1, 6], [2, 19]], 360383/305764761600], [[[1, 7], [2, 18]], 631577/183458856960], [[[1, 8], [2, 17]], 8847797/1223059046400], [[[1, 9], [2, 16]], 2729593/244611809280], [[[1, 10], [2, 15]], 1012267/76441190400], [[[1, 11], [2, 14]], 1034051/76441190400], [[[1, 11], [3, 7]], 1/1119744], [[[1, 12], [2, 13]], 2075857/152882380800], [[[1, 13], [2, 12]], 2075857/152882380800], [[[1, 13], [3, 6]], 73/35831808], [[[1, 14], [2, 11]], 1034051/76441190400], [[[1, 15], [2, 10]], 1012267/76441190400], [[[1, 15], [3, 5]], 349/238878720], [[[1, 16], [2, 9]], 2729593/244611809280], [[[1, 17], [2, 8]], 8847797/1223059046400], [[[1, 17], [3, 4]], 4021/11466178560], [[[1, 17], [5, 2]], 1/176947200], [[[1, 18], [2, 7]], 631577/183458856960], [[[1, 19], [2, 6]], 360383/305764761600], [[[1, 19], [3, 3]], 1031/28665446400], [[[1, 20], [2, 5]], 87263/305764761600], [[[1, 21], [2, 4]], 43873/917294284800], [[[1, 21], [3, 2]], 127/76441190400], [[[1, 21], [4, 2]], 1/305764761600], [[[1, 21], [5, 1]], 1/12740198400], [[[1, 22], [2, 3]], 4927/917294284800], [[[1, 23], [2, 2]], 13/33973862400], [[[1, 23], [3, 1]], 1/28665446400], [[[1, 24], [2, 1]], 19/1223059046400], [[[2, 5], [4, 10]], 1/8847360], [[[2, 11], [6, 7]], 1/1119744], [[[2, 13], [6, 6]], 73/35831808], [[[2, 15], [6, 5]], 349/238878720], [[[2, 17], [6, 4]], 4021/11466178560], [[[2, 17], [10, 2]], 1/176947200], [[[2, 19], [6, 3]], 1031/28665446400], [[[2, 21], [4, 2]], 1/305764761600], [[[2, 21], [6, 2]], 127/76441190400], [[[2, 21], [10, 1]], 1/12740198400], [[[2, 23], [6, 1]], 1/28665446400], [[[1, 1], [2, 4], [4, 10]], 1/1769472], [[[1, 1], [2, 6], [4, 9]], 1/414720], [[[1, 1], [2, 10], [6, 7]], 1/373248], [[[1, 1], [2, 12], [6, 6]], 157/11943936], [[[1, 1], [2, 14], [6, 5]], 413/26542080], [[[1, 1], [2, 16], [6, 4]], 23053/3822059520], [[[1, 1], [2, 16], [10, 2]], 1/6553600], [[[1, 1], [2, 18], [4, 3]], 1/1592524800], [[[1, 1], [2, 18], [6, 3]], 4333/4777574400], [[[1, 1], [2, 20], [4, 2]], 1/6794772480], [[[1, 1], [2, 20], [6, 2]], 247/4246732800], [[[1, 1], [2, 20], [10, 1]], 7/2123366400], [[[1, 1], [2, 22], [4, 1]], 11/152882380800], [[[1, 1], [2, 22], [6, 1]], 61/38220595200], [[[1, 2], [2, 3], [4, 10]], 1/884736], [[[1, 2], [2, 5], [4, 9]], 1/81920], [[[1, 2], [2, 7], [4, 8]], 29/1769472], [[[1, 2], [2, 9], [6, 7]], 1/373248], [[[1, 2], [2, 11], [6, 6]], 113/3981312], [[[1, 2], [2, 13], [6, 5]], 613/9953280], [[[1, 2], [2, 15], [4, 4]], 143/4246732800], [[[1, 2], [2, 15], [6, 4]], 151681/3822059520], [[[1, 2], [2, 15], [10, 2]], 31/19660800], [[[1, 2], [2, 17], [4, 3]], 7/353894400], [[[1, 2], [2, 17], [6, 3]], 1817/199065600], [[[1, 2], [2, 19], [4, 2]], 119/12740198400], [[[1, 2], [2, 19], [6, 2]], 21269/25480396800], [[[1, 2], [2, 19], [10, 1]], 3/52428800], [[[1, 2], [2, 21], [3, 1]], 1/114661785600], [[[1, 2], [2, 21], [4, 1]], 161/50960793600], [[[1, 2], [2, 21], [6, 1]], 1177/38220595200], [[[1, 3], [2, 2], [4, 10]], 1/884736], [[[1, 3], [2, 4], [4, 9]], 163/6635520], [[[1, 3], [2, 6], [4, 8]], 251/2949120], [[[1, 3], [2, 8], [4, 7]], 767/17694720], [[[1, 3], [2, 8], [6, 7]], 1/1119744], [[[1, 3], [2, 10], [6, 6]], 967/35831808], [[[1, 3], [2, 12], [4, 5]], 7/14155776], [[[1, 3], [2, 12], [6, 5]], 3463/29859840], [[[1, 3], [2, 14], [4, 4]], 893/1415577600], [[[1, 3], [2, 14], [6, 4]], 1505377/11466178560], [[[1, 3], [2, 14], [10, 2]], 1453/176947200], [[[1, 3], [2, 16], [4, 3]], 127/265420800], [[[1, 3], [2, 16], [6, 3]], 689173/14332723200], [[[1, 3], [2, 18], [4, 2]], 2231/9555148800], [[[1, 3], [2, 18], [6, 2]], 123779/19110297600], [[[1, 3], [2, 18], [10, 1]], 1717/3185049600], [[[1, 3], [2, 20], [3, 1]], 1/2548039680], [[[1, 3], [2, 20], [4, 1]], 739/12740198400], [[[1, 3], [2, 20], [6, 1]], 4733/14332723200], [[[1, 3], [4, 9], [8, 1]], 1/2211840], [[[1, 4], [2, 1], [4, 10]], 1/1769472], [[[1, 4], [2, 3], [4, 9]], 163/6635520], [[[1, 4], [2, 5], [4, 8]], 1579/8847360], [[[1, 4], [2, 7], [4, 7]], 1411/5898240], [[[1, 4], [2, 9], [4, 6]], 803/14155776], [[[1, 4], [2, 9], [6, 6]], 415/35831808], [[[1, 4], [2, 11], [4, 5]], 97/14155776], [[[1, 4], [2, 11], [6, 5]], 917/7962624], [[[1, 4], [2, 13], [4, 4]], 10523/1415577600], [[[1, 4], [2, 13], [6, 4]], 461899/1911029760], [[[1, 4], [2, 13], [10, 2]], 2141/88473600], [[[1, 4], [2, 15], [4, 3]], 9697/1592524800], [[[1, 4], [2, 15], [6, 3]], 843859/5733089280], [[[1, 4], [2, 17], [4, 2]], 278813/101921587200], [[[1, 4], [2, 17], [6, 2]], 256651/8493465600], [[[1, 4], [2, 17], [10, 1]], 39037/12740198400], [[[1, 4], [2, 19], [3, 1]], 47/6370099200], [[[1, 4], [2, 19], [4, 1]], 11209/19110297600], [[[1, 4], [2, 19], [6, 1]], 41861/19110297600], [[[1, 5], [2, 2], [4, 9]], 1/81920], [[[1, 5], [2, 4], [4, 8]], 1579/8847360], [[[1, 5], [2, 6], [4, 7]], 1213/2211840], [[[1, 5], [2, 8], [4, 6]], 559/1572864], [[[1, 5], [2, 8], [6, 6]], 1/442368], [[[1, 5], [2, 10], [4, 5]], 137/1179648], [[[1, 5], [2, 10], [6, 5]], 1511/23887872], [[[1, 5], [2, 12], [4, 4]], 235193/4246732800], [[[1, 5], [2, 12], [6, 4]], 502921/1911029760], [[[1, 5], [2, 12], [10, 2]], 1301/29491200], [[[1, 5], [2, 14], [4, 3]], 7201/176947200], [[[1, 5], [2, 14], [6, 3]], 132301/477757440], [[[1, 5], [2, 16], [4, 2]], 598523/33973862400], [[[1, 5], [2, 16], [6, 2]], 3422689/38220595200], [[[1, 5], [2, 16], [10, 1]], 7867/707788800], [[[1, 5], [2, 18], [3, 1]], 4367/57330892800], [[[1, 5], [2, 18], [4, 1]], 556181/152882380800], [[[1, 5], [2, 18], [6, 1]], 362923/38220595200], [[[1, 5], [4, 4], [12, 3]], 1/27648], [[[1, 5], [4, 6], [12, 2]], 1/24576], [[[1, 5], [4, 6], [20, 1]], 1/61440], [[[1, 5], [4, 8], [12, 1]], 1/184320], [[[1, 6], [2, 1], [4, 9]], 1/414720], [[[1, 6], [2, 3], [4, 8]], 251/2949120], [[[1, 6], [2, 5], [4, 7]], 1213/2211840], [[[1, 6], [2, 7], [3, 6]], 1/35831808], [[[1, 6], [2, 7], [4, 6]], 6299/7077888], [[[1, 6], [2, 7], [6, 6]], 5/11943936], [[[1, 6], [2, 9], [3, 5]], 1/47775744], [[[1, 6], [2, 9], [4, 5]], 365/589824], [[[1, 6], [2, 9], [6, 5]], 41/1990656], [[[1, 6], [2, 11], [3, 4]], 1/254803968], [[[1, 6], [2, 11], [4, 4]], 250621/849346560], [[[1, 6], [2, 11], [5, 2]], 1/19660800], [[[1, 6], [2, 11], [6, 4]], 22471/127401984], [[[1, 6], [2, 11], [10, 2]], 1541/29491200], [[[1, 6], [2, 13], [4, 3]], 42871/265420800], [[[1, 6], [2, 13], [6, 3]], 79651/238878720], [[[1, 6], [2, 15], [4, 2]], 1744121/25480396800], [[[1, 6], [2, 15], [6, 2]], 890413/5096079360], [[[1, 6], [2, 15], [10, 1]], 12623/471859200], [[[1, 6], [2, 17], [3, 1]], 3661/7644119040], [[[1, 6], [2, 17], [4, 1]], 746111/50960793600], [[[1, 6], [2, 17], [6, 1]], 354329/12740198400], [[[1, 7], [2, 2], [4, 8]], 29/1769472], [[[1, 7], [2, 4], [4, 7]], 1411/5898240], [[[1, 7], [2, 6], [3, 6]], 5/11943936], [[[1, 7], [2, 6], [4, 6]], 6299/7077888], [[[1, 7], [2, 6], [6, 6]], 1/35831808], [[[1, 7], [2, 8], [3, 5]], 25/47775744], [[[1, 7], [2, 8], [4, 5]], 23921/17694720], [[[1, 7], [2, 8], [6, 5]], 1/221184], [[[1, 7], [2, 10], [3, 4]], 169/764411904], [[[1, 7], [2, 10], [4, 4]], 482801/471859200], [[[1, 7], [2, 10], [5, 2]], 19/19660800], [[[1, 7], [2, 10], [6, 4]], 143651/1911029760], [[[1, 7], [2, 10], [10, 2]], 721/17694720], [[[1, 7], [2, 12], [3, 3]], 139/1911029760], [[[1, 7], [2, 12], [4, 3]], 48527/106168320], [[[1, 7], [2, 12], [6, 3]], 378337/1433272320], [[[1, 7], [2, 14], [3, 2]], 109/15288238080], [[[1, 7], [2, 14], [4, 2]], 1487791/8493465600], [[[1, 7], [2, 14], [5, 1]], 109/4246732800], [[[1, 7], [2, 14], [6, 2]], 244969/1061683200], [[[1, 7], [2, 14], [8, 1]], 1/53084160], [[[1, 7], [2, 14], [10, 1]], 2807/63700992], [[[1, 7], [2, 16], [3, 1]], 73589/38220595200], [[[1, 7], [2, 16], [4, 1]], 252803/6370099200], [[[1, 7], [2, 16], [6, 1]], 215501/3822059520], [[[1, 8], [2, 3], [3, 7]], 1/1119744], [[[1, 8], [2, 3], [4, 7]], 767/17694720], [[[1, 8], [2, 5], [3, 6]], 1/442368], [[[1, 8], [2, 5], [4, 6]], 559/1572864], [[[1, 8], [2, 7], [3, 5]], 1/221184], [[[1, 8], [2, 7], [4, 5]], 23921/17694720], [[[1, 8], [2, 7], [6, 5]], 25/47775744], [[[1, 8], [2, 9], [3, 4]], 2509/764411904], [[[1, 8], [2, 9], [4, 4]], 1332577/707788800], [[[1, 8], [2, 9], [5, 2]], 73/11796480], [[[1, 8], [2, 9], [6, 4]], 15751/764411904], [[[1, 8], [2, 9], [10, 2]], 1207/58982400], [[[1, 8], [2, 11], [3, 3]], 1487/955514880], [[[1, 8], [2, 11], [4, 3]], 81817/79626240], [[[1, 8], [2, 11], [6, 3]], 266107/1911029760], [[[1, 8], [2, 13], [3, 2]], 2627/7644119040], [[[1, 8], [2, 13], [4, 2]], 114023/339738624], [[[1, 8], [2, 13], [5, 1]], 1199/2123366400], [[[1, 8], [2, 13], [6, 2]], 3225241/15288238080], [[[1, 8], [2, 13], [8, 1]], 19/53084160], [[[1, 8], [2, 13], [10, 1]], 23993/471859200], [[[1, 8], [2, 15], [3, 1]], 97703/19110297600], [[[1, 8], [2, 15], [4, 1]], 180587/2388787200], [[[1, 8], [2, 15], [6, 1]], 3088651/38220595200], [[[1, 9], [2, 2], [3, 7]], 1/373248], [[[1, 9], [2, 4], [3, 6]], 415/35831808], [[[1, 9], [2, 4], [4, 6]], 803/14155776], [[[1, 9], [2, 6], [3, 5]], 41/1990656], [[[1, 9], [2, 6], [4, 5]], 365/589824], [[[1, 9], [2, 6], [6, 5]], 1/47775744], [[[1, 9], [2, 8], [3, 4]], 15751/764411904], [[[1, 9], [2, 8], [4, 4]], 1332577/707788800], [[[1, 9], [2, 8], [5, 2]], 1207/58982400], [[[1, 9], [2, 8], [6, 4]], 2509/764411904], [[[1, 9], [2, 8], [10, 2]], 73/11796480], [[[1, 9], [2, 10], [3, 3]], 563/47775744], [[[1, 9], [2, 10], [4, 3]], 5157049/3185049600], [[[1, 9], [2, 10], [6, 3]], 47261/955514880], [[[1, 9], [2, 12], [3, 2]], 287/62914560], [[[1, 9], [2, 12], [4, 2]], 4652683/8493465600], [[[1, 9], [2, 12], [5, 1]], 18133/4246732800], [[[1, 9], [2, 12], [6, 2]], 1050797/7644119040], [[[1, 9], [2, 12], [8, 1]], 109/53084160], [[[1, 9], [2, 12], [10, 1]], 3649/84934656], [[[1, 9], [2, 14], [3, 1]], 372793/38220595200], [[[1, 9], [2, 14], [4, 1]], 25991/235929600], [[[1, 9], [2, 14], [6, 1]], 1614029/19110297600], [[[1, 9], [3, 6], [4, 2]], 1/2985984], [[[1, 10], [2, 1], [3, 7]], 1/373248], [[[1, 10], [2, 3], [3, 6]], 967/35831808], [[[1, 10], [2, 5], [3, 5]], 1511/23887872], [[[1, 10], [2, 5], [4, 5]], 137/1179648], [[[1, 10], [2, 7], [3, 4]], 143651/1911029760], [[[1, 10], [2, 7], [4, 4]], 482801/471859200], [[[1, 10], [2, 7], [5, 2]], 721/17694720], [[[1, 10], [2, 7], [6, 4]], 169/764411904], [[[1, 10], [2, 7], [10, 2]], 19/19660800], [[[1, 10], [2, 9], [3, 3]], 47261/955514880], [[[1, 10], [2, 9], [4, 3]], 5157049/3185049600], [[[1, 10], [2, 9], [6, 3]], 563/47775744], [[[1, 10], [2, 11], [3, 2]], 9991/424673280], [[[1, 10], [2, 11], [4, 2]], 1572563/2123366400], [[[1, 10], [2, 11], [5, 1]], 15823/1061683200], [[[1, 10], [2, 11], [6, 2]], 12617/188743680], [[[1, 10], [2, 11], [8, 1]], 3841/796262400], [[[1, 10], [2, 11], [10, 1]], 123737/4246732800], [[[1, 10], [2, 13], [3, 1]], 64117/3822059520], [[[1, 10], [2, 13], [4, 1]], 2678633/19110297600], [[[1, 10], [2, 13], [6, 1]], 526853/7644119040], [[[1, 11], [2, 2], [3, 6]], 113/3981312], [[[1, 11], [2, 4], [3, 5]], 917/7962624], [[[1, 11], [2, 4], [4, 5]], 97/14155776], [[[1, 11], [2, 6], [3, 4]], 22471/127401984], [[[1, 11], [2, 6], [4, 4]], 250621/849346560], [[[1, 11], [2, 6], [5, 2]], 1541/29491200], [[[1, 11], [2, 6], [6, 4]], 1/254803968], [[[1, 11], [2, 6], [10, 2]], 1/19660800], [[[1, 11], [2, 8], [3, 3]], 266107/1911029760], [[[1, 11], [2, 8], [4, 3]], 81817/79626240], [[[1, 11], [2, 8], [6, 3]], 1487/955514880], [[[1, 11], [2, 10], [3, 2]], 12617/188743680], [[[1, 11], [2, 10], [4, 2]], 1572563/2123366400], [[[1, 11], [2, 10], [5, 1]], 123737/4246732800], [[[1, 11], [2, 10], [6, 2]], 9991/424673280], [[[1, 11], [2, 10], [8, 1]], 3841/796262400], [[[1, 11], [2, 10], [10, 1]], 15823/1061683200], [[[1, 11], [2, 12], [3, 1]], 382889/12740198400], [[[1, 11], [2, 12], [4, 1]], 6274627/38220595200], [[[1, 11], [2, 12], [6, 1]], 309157/6370099200], [[[1, 11], [3, 3], [5, 2]], 1/86400], [[[1, 11], [3, 5], [4, 2]], 1/1327104], [[[1, 11], [3, 5], [5, 1]], 1/155520], [[[1, 12], [2, 1], [3, 6]], 157/11943936], [[[1, 12], [2, 3], [3, 5]], 3463/29859840], [[[1, 12], [2, 3], [4, 5]], 7/14155776], [[[1, 12], [2, 5], [3, 4]], 502921/1911029760], [[[1, 12], [2, 5], [4, 4]], 235193/4246732800], [[[1, 12], [2, 5], [5, 2]], 1301/29491200], [[[1, 12], [2, 7], [3, 3]], 378337/1433272320], [[[1, 12], [2, 7], [4, 3]], 48527/106168320], [[[1, 12], [2, 7], [6, 3]], 139/1911029760], [[[1, 12], [2, 9], [3, 2]], 1050797/7644119040], [[[1, 12], [2, 9], [4, 2]], 4652683/8493465600], [[[1, 12], [2, 9], [5, 1]], 3649/84934656], [[[1, 12], [2, 9], [6, 2]], 287/62914560], [[[1, 12], [2, 9], [8, 1]], 109/53084160], [[[1, 12], [2, 9], [10, 1]], 18133/4246732800], [[[1, 12], [2, 11], [3, 1]], 309157/6370099200], [[[1, 12], [2, 11], [4, 1]], 6274627/38220595200], [[[1, 12], [2, 11], [6, 1]], 382889/12740198400], [[[1, 13], [2, 2], [3, 5]], 613/9953280], [[[1, 13], [2, 4], [3, 4]], 461899/1911029760], [[[1, 13], [2, 4], [4, 4]], 10523/1415577600], [[[1, 13], [2, 4], [5, 2]], 2141/88473600], [[[1, 13], [2, 6], [3, 3]], 79651/238878720], [[[1, 13], [2, 6], [4, 3]], 42871/265420800], [[[1, 13], [2, 8], [3, 2]], 3225241/15288238080], [[[1, 13], [2, 8], [4, 2]], 114023/339738624], [[[1, 13], [2, 8], [5, 1]], 23993/471859200], [[[1, 13], [2, 8], [6, 2]], 2627/7644119040], [[[1, 13], [2, 8], [8, 1]], 19/53084160], [[[1, 13], [2, 8], [10, 1]], 1199/2123366400], [[[1, 13], [2, 10], [3, 1]], 526853/7644119040], [[[1, 13], [2, 10], [4, 1]], 2678633/19110297600], [[[1, 13], [2, 10], [6, 1]], 64117/3822059520], [[[1, 13], [3, 2], [5, 2]], 1/307200], [[[1, 13], [3, 4], [4, 2]], 167/318504960], [[[1, 13], [3, 4], [5, 1]], 41/4976640], [[[1, 13], [4, 2], [5, 2]], 1/14745600], [[[1, 14], [2, 1], [3, 5]], 413/26542080], [[[1, 14], [2, 3], [3, 4]], 1505377/11466178560], [[[1, 14], [2, 3], [4, 4]], 893/1415577600], [[[1, 14], [2, 3], [5, 2]], 1453/176947200], [[[1, 14], [2, 5], [3, 3]], 132301/477757440], [[[1, 14], [2, 5], [4, 3]], 7201/176947200], [[[1, 14], [2, 7], [3, 2]], 244969/1061683200], [[[1, 14], [2, 7], [4, 2]], 1487791/8493465600], [[[1, 14], [2, 7], [5, 1]], 2807/63700992], [[[1, 14], [2, 7], [6, 2]], 109/15288238080], [[[1, 14], [2, 7], [8, 1]], 1/53084160], [[[1, 14], [2, 7], [10, 1]], 109/4246732800], [[[1, 14], [2, 9], [3, 1]], 1614029/19110297600], [[[1, 14], [2, 9], [4, 1]], 25991/235929600], [[[1, 14], [2, 9], [6, 1]], 372793/38220595200], [[[1, 15], [2, 2], [3, 4]], 151681/3822059520], [[[1, 15], [2, 2], [4, 4]], 143/4246732800], [[[1, 15], [2, 2], [5, 2]], 31/19660800], [[[1, 15], [2, 4], [3, 3]], 843859/5733089280], [[[1, 15], [2, 4], [4, 3]], 9697/1592524800], [[[1, 15], [2, 6], [3, 2]], 890413/5096079360], [[[1, 15], [2, 6], [4, 2]], 1744121/25480396800], [[[1, 15], [2, 6], [5, 1]], 12623/471859200], [[[1, 15], [2, 8], [3, 1]], 3088651/38220595200], [[[1, 15], [2, 8], [4, 1]], 180587/2388787200], [[[1, 15], [2, 8], [6, 1]], 97703/19110297600], [[[1, 15], [3, 1], [5, 2]], 1/3686400], [[[1, 15], [3, 3], [4, 2]], 11/95551488], [[[1, 15], [3, 3], [5, 1]], 211/99532800], [[[1, 16], [2, 1], [3, 4]], 23053/3822059520], [[[1, 16], [2, 1], [5, 2]], 1/6553600], [[[1, 16], [2, 3], [3, 3]], 689173/14332723200], [[[1, 16], [2, 3], [4, 3]], 127/265420800], [[[1, 16], [2, 5], [3, 2]], 3422689/38220595200], [[[1, 16], [2, 5], [4, 2]], 598523/33973862400], [[[1, 16], [2, 5], [5, 1]], 7867/707788800], [[[1, 16], [2, 7], [3, 1]], 215501/3822059520], [[[1, 16], [2, 7], [4, 1]], 252803/6370099200], [[[1, 16], [2, 7], [6, 1]], 73589/38220595200], [[[1, 17], [2, 2], [3, 3]], 1817/199065600], [[[1, 17], [2, 2], [4, 3]], 7/353894400], [[[1, 17], [2, 4], [3, 2]], 256651/8493465600], [[[1, 17], [2, 4], [4, 2]], 278813/101921587200], [[[1, 17], [2, 4], [5, 1]], 39037/12740198400], [[[1, 17], [2, 6], [3, 1]], 354329/12740198400], [[[1, 17], [2, 6], [4, 1]], 746111/50960793600], [[[1, 17], [2, 6], [6, 1]], 3661/7644119040], [[[1, 17], [3, 2], [4, 2]], 7/707788800], [[[1, 17], [3, 2], [5, 1]], 317/1592524800], [[[1, 17], [4, 2], [5, 1]], 1/1061683200], [[[1, 18], [2, 1], [3, 3]], 4333/4777574400], [[[1, 18], [2, 1], [4, 3]], 1/1592524800], [[[1, 18], [2, 3], [3, 2]], 123779/19110297600], [[[1, 18], [2, 3], [4, 2]], 2231/9555148800], [[[1, 18], [2, 3], [5, 1]], 1717/3185049600], [[[1, 18], [2, 5], [3, 1]], 362923/38220595200], [[[1, 18], [2, 5], [4, 1]], 556181/152882380800], [[[1, 18], [2, 5], [6, 1]], 4367/57330892800], [[[1, 19], [2, 2], [3, 2]], 21269/25480396800], [[[1, 19], [2, 2], [4, 2]], 119/12740198400], [[[1, 19], [2, 2], [5, 1]], 3/52428800], [[[1, 19], [2, 4], [3, 1]], 41861/19110297600], [[[1, 19], [2, 4], [4, 1]], 11209/19110297600], [[[1, 19], [2, 4], [6, 1]], 47/6370099200], [[[1, 19], [3, 1], [4, 2]], 1/3185049600], [[[1, 19], [3, 1], [5, 1]], 11/1592524800], [[[1, 20], [2, 1], [3, 2]], 247/4246732800], [[[1, 20], [2, 1], [4, 2]], 1/6794772480], [[[1, 20], [2, 1], [5, 1]], 7/2123366400], [[[1, 20], [2, 3], [3, 1]], 4733/14332723200], [[[1, 20], [2, 3], [4, 1]], 739/12740198400], [[[1, 20], [2, 3], [6, 1]], 1/2548039680], [[[1, 21], [2, 2], [3, 1]], 1177/38220595200], [[[1, 21], [2, 2], [4, 1]], 161/50960793600], [[[1, 21], [2, 2], [6, 1]], 1/114661785600], [[[1, 22], [2, 1], [3, 1]], 61/38220595200], [[[1, 22], [2, 1], [4, 1]], 11/152882380800], [[[2, 3], [4, 9], [8, 1]], 1/2211840], [[[2, 5], [4, 4], [12, 3]], 1/27648], [[[2, 5], [4, 6], [12, 2]], 1/24576], [[[2, 5], [4, 6], [20, 1]], 1/61440], [[[2, 5], [4, 8], [12, 1]], 1/184320], [[[2, 9], [4, 2], [6, 6]], 1/2985984], [[[2, 11], [4, 2], [6, 5]], 1/1327104], [[[2, 11], [6, 3], [10, 2]], 1/86400], [[[2, 11], [6, 5], [10, 1]], 1/155520], [[[2, 13], [4, 2], [6, 4]], 167/318504960], [[[2, 13], [4, 2], [10, 2]], 1/14745600], [[[2, 13], [6, 2], [10, 2]], 1/307200], [[[2, 13], [6, 4], [10, 1]], 41/4976640], [[[2, 15], [4, 2], [6, 3]], 11/95551488], [[[2, 15], [6, 1], [10, 2]], 1/3686400], [[[2, 15], [6, 3], [10, 1]], 211/99532800], [[[2, 17], [4, 2], [6, 2]], 7/707788800], [[[2, 17], [4, 2], [10, 1]], 1/1061683200], [[[2, 17], [6, 2], [10, 1]], 317/1592524800], [[[2, 19], [4, 2], [6, 1]], 1/3185049600], [[[2, 19], [6, 1], [10, 1]], 11/1592524800], [[[1, 1], [2, 2], [4, 9], [8, 1]], 1/737280], [[[1, 1], [2, 4], [3, 1], [4, 9]], 1/3317760], [[[1, 1], [2, 4], [4, 4], [12, 3]], 5/27648], [[[1, 1], [2, 4], [4, 6], [8, 2]], 1/23040], [[[1, 1], [2, 4], [4, 6], [12, 2]], 5/24576], [[[1, 1], [2, 4], [4, 6], [20, 1]], 1/12288], [[[1, 1], [2, 4], [4, 8], [8, 1]], 7/737280], [[[1, 1], [2, 4], [4, 8], [12, 1]], 1/36864], [[[1, 1], [2, 4], [4, 9], [6, 1]], 1/3317760], [[[1, 1], [2, 6], [4, 3], [12, 3]], 1/82944], [[[1, 1], [2, 6], [4, 5], [12, 2]], 11/73728], [[[1, 1], [2, 6], [4, 5], [20, 1]], 19/184320], [[[1, 1], [2, 6], [4, 7], [8, 1]], 1/92160], [[[1, 1], [2, 6], [4, 7], [12, 1]], 31/552960], [[[1, 1], [2, 8], [4, 2], [6, 6]], 1/995328], [[[1, 1], [2, 8], [4, 3], [6, 5]], 1/1990656], [[[1, 1], [2, 10], [3, 1], [6, 6]], 1/186624], [[[1, 1], [2, 10], [4, 1], [6, 6]], 5/1492992], [[[1, 1], [2, 10], [4, 2], [6, 5]], 19/3981312], [[[1, 1], [2, 10], [4, 3], [6, 4]], 41/15925248], [[[1, 1], [2, 10], [4, 3], [10, 2]], 1/1228800], [[[1, 1], [2, 10], [6, 3], [10, 2]], 1/28800], [[[1, 1], [2, 10], [6, 5], [10, 1]], 1/51840], [[[1, 1], [2, 12], [3, 1], [6, 5]], 41/5971968], [[[1, 1], [2, 12], [4, 1], [6, 5]], 91/7962624], [[[1, 1], [2, 12], [4, 2], [6, 4]], 1721/318504960], [[[1, 1], [2, 12], [4, 2], [10, 2]], 1/983040], [[[1, 1], [2, 12], [4, 3], [6, 3]], 101/39813120], [[[1, 1], [2, 12], [6, 2], [10, 2]], 29/921600], [[[1, 1], [2, 12], [6, 4], [10, 1]], 31/552960], [[[1, 1], [2, 14], [3, 1], [6, 4]], 211/119439360], [[[1, 1], [2, 14], [4, 1], [6, 4]], 215/21233664], [[[1, 1], [2, 14], [4, 1], [10, 2]], 7/14745600], [[[1, 1], [2, 14], [4, 2], [6, 3]], 151/79626240], [[[1, 1], [2, 14], [4, 3], [6, 2]], 337/637009920], [[[1, 1], [2, 14], [4, 3], [10, 1]], 17/176947200], [[[1, 1], [2, 14], [6, 1], [10, 2]], 17/3686400], [[[1, 1], [2, 14], [6, 3], [10, 1]], 941/33177600], [[[1, 1], [2, 16], [3, 1], [6, 3]], 317/1911029760], [[[1, 1], [2, 16], [4, 1], [6, 3]], 221/95551488], [[[1, 1], [2, 16], [4, 2], [6, 2]], 757/3185049600], [[[1, 1], [2, 16], [4, 2], [10, 1]], 1/35389440], [[[1, 1], [2, 16], [4, 3], [6, 1]], 29/796262400], [[[1, 1], [2, 16], [6, 2], [10, 1]], 2237/530841600], [[[1, 1], [2, 18], [3, 1], [6, 2]], 11/1911029760], [[[1, 1], [2, 18], [4, 1], [6, 2]], 511/2548039680], [[[1, 1], [2, 18], [4, 1], [10, 1]], 29/2123366400], [[[1, 1], [2, 18], [4, 2], [6, 1]], 17/1592524800], [[[1, 1], [2, 18], [6, 1], [10, 1]], 19/88473600], [[[1, 1], [2, 20], [3, 1], [6, 1]], 1/15288238080], [[[1, 1], [2, 20], [4, 1], [6, 1]], 7/1061683200], [[[1, 2], [2, 1], [4, 9], [8, 1]], 1/737280], [[[1, 2], [2, 3], [3, 1], [4, 9]], 1/1105920], [[[1, 2], [2, 3], [4, 4], [12, 3]], 5/13824], [[[1, 2], [2, 3], [4, 6], [8, 2]], 1/7680], [[[1, 2], [2, 3], [4, 6], [12, 2]], 5/12288], [[[1, 2], [2, 3], [4, 6], [20, 1]], 1/6144], [[[1, 2], [2, 3], [4, 8], [8, 1]], 7/245760], [[[1, 2], [2, 3], [4, 8], [12, 1]], 1/18432], [[[1, 2], [2, 3], [4, 9], [6, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 1], [4, 8]], 7/1105920], [[[1, 2], [2, 5], [4, 3], [8, 3]], 1/4096], [[[1, 2], [2, 5], [4, 3], [12, 3]], 1/9216], [[[1, 2], [2, 5], [4, 5], [8, 2]], 1/3072], [[[1, 2], [2, 5], [4, 5], [12, 2]], 59/73728], [[[1, 2], [2, 5], [4, 5], [20, 1]], 11/20480], [[[1, 2], [2, 5], [4, 7], [8, 1]], 43/368640], [[[1, 2], [2, 5], [4, 7], [12, 1]], 53/184320], [[[1, 2], [2, 5], [4, 8], [6, 1]], 7/1105920], [[[1, 2], [2, 7], [4, 2], [6, 6]], 1/995328], [[[1, 2], [2, 7], [4, 3], [6, 5]], 1/663552], [[[1, 2], [2, 7], [4, 4], [6, 4]], 1/5308416], [[[1, 2], [2, 7], [4, 4], [8, 2]], 1/16384], [[[1, 2], [2, 7], [4, 4], [10, 2]], 1/409600], [[[1, 2], [2, 7], [4, 4], [12, 2]], 13/221184], [[[1, 2], [2, 7], [4, 4], [20, 1]], 1/12288], [[[1, 2], [2, 7], [4, 6], [8, 1]], 797/8847360], [[[1, 2], [2, 7], [4, 6], [12, 1]], 17/110592], [[[1, 2], [2, 9], [3, 1], [6, 6]], 19/1119744], [[[1, 2], [2, 9], [3, 2], [6, 5]], 1/124416], [[[1, 2], [2, 9], [4, 1], [6, 6]], 5/497664], [[[1, 2], [2, 9], [4, 2], [6, 5]], 1/73728], [[[1, 2], [2, 9], [4, 3], [6, 4]], 67/5308416], [[[1, 2], [2, 9], [4, 3], [8, 2]], 1/1474560], [[[1, 2], [2, 9], [4, 3], [10, 2]], 3/409600], [[[1, 2], [2, 9], [4, 4], [6, 3]], 7/2654208], [[[1, 2], [2, 9], [6, 3], [10, 2]], 1/28800], [[[1, 2], [2, 9], [6, 5], [10, 1]], 1/51840], [[[1, 2], [2, 11], [3, 1], [6, 5]], 97/1990656], [[[1, 2], [2, 11], [3, 2], [6, 4]], 1/442368], [[[1, 2], [2, 11], [4, 1], [6, 5]], 167/2654208], [[[1, 2], [2, 11], [4, 2], [6, 4]], 127/2949120], [[[1, 2], [2, 11], [4, 2], [10, 2]], 13/1228800], [[[1, 2], [2, 11], [4, 3], [6, 3]], 23/1105920], [[[1, 2], [2, 11], [4, 4], [6, 2]], 157/35389440], [[[1, 2], [2, 11], [4, 4], [8, 1]], 7/11796480], [[[1, 2], [2, 11], [4, 4], [10, 1]], 31/29491200], [[[1, 2], [2, 11], [6, 2], [10, 2]], 83/921600], [[[1, 2], [2, 11], [6, 4], [10, 1]], 211/1658880], [[[1, 2], [2, 13], [3, 1], [6, 4]], 299/11943936], [[[1, 2], [2, 13], [3, 1], [10, 2]], 1/5529600], [[[1, 2], [2, 13], [3, 2], [6, 3]], 1/5308416], [[[1, 2], [2, 13], [4, 1], [6, 4]], 1943/21233664], [[[1, 2], [2, 13], [4, 1], [10, 2]], 37/4915200], [[[1, 2], [2, 13], [4, 2], [6, 3]], 6241/159252480], [[[1, 2], [2, 13], [4, 3], [6, 2]], 5/663552], [[[1, 2], [2, 13], [4, 3], [10, 1]], 1/614400], [[[1, 2], [2, 13], [4, 4], [6, 1]], 41/53084160], [[[1, 2], [2, 13], [6, 1], [10, 2]], 13/460800], [[[1, 2], [2, 13], [6, 3], [10, 1]], 23/172800], [[[1, 2], [2, 15], [3, 1], [6, 3]], 21893/5733089280], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1/254803968], [[[1, 2], [2, 15], [4, 1], [6, 3]], 1423/39813120], [[[1, 2], [2, 15], [4, 2], [6, 2]], 697/88473600], [[[1, 2], [2, 15], [4, 2], [10, 1]], 11/11059200], [[[1, 2], [2, 15], [4, 3], [6, 1]], 413/530841600], [[[1, 2], [2, 15], [6, 2], [10, 1]], 18089/530841600], [[[1, 2], [2, 17], [3, 1], [6, 2]], 109/530841600], [[[1, 2], [2, 17], [3, 1], [10, 1]], 1/398131200], [[[1, 2], [2, 17], [4, 1], [6, 2]], 989/212336640], [[[1, 2], [2, 17], [4, 1], [10, 1]], 71/176947200], [[[1, 2], [2, 17], [4, 2], [6, 1]], 23/44236800], [[[1, 2], [2, 17], [6, 1], [10, 1]], 11/4147200], [[[1, 2], [2, 19], [3, 1], [6, 1]], 137/38220595200], [[[1, 2], [2, 19], [4, 1], [6, 1]], 463/2123366400], [[[1, 3], [2, 2], [3, 1], [4, 9]], 1/1105920], [[[1, 3], [2, 2], [4, 4], [12, 3]], 5/13824], [[[1, 3], [2, 2], [4, 6], [8, 2]], 1/7680], [[[1, 3], [2, 2], [4, 6], [12, 2]], 5/12288], [[[1, 3], [2, 2], [4, 6], [20, 1]], 1/6144], [[[1, 3], [2, 2], [4, 8], [8, 1]], 7/245760], [[[1, 3], [2, 2], [4, 8], [12, 1]], 1/18432], [[[1, 3], [2, 2], [4, 9], [6, 1]], 1/1105920], [[[1, 3], [2, 4], [3, 1], [4, 8]], 7/368640], [[[1, 3], [2, 4], [4, 3], [8, 3]], 3/4096], [[[1, 3], [2, 4], [4, 3], [12, 3]], 11/41472], [[[1, 3], [2, 4], [4, 5], [8, 2]], 1/1024], [[[1, 3], [2, 4], [4, 5], [12, 2]], 61/36864], [[[1, 3], [2, 4], [4, 5], [20, 1]], 101/92160], [[[1, 3], [2, 4], [4, 7], [8, 1]], 481/1474560], [[[1, 3], [2, 4], [4, 7], [12, 1]], 161/276480], [[[1, 3], [2, 4], [4, 8], [6, 1]], 7/368640], [[[1, 3], [2, 6], [3, 1], [4, 7]], 23/552960], [[[1, 3], [2, 6], [4, 2], [6, 6]], 1/2985984], [[[1, 3], [2, 6], [4, 2], [8, 3]], 1/4096], [[[1, 3], [2, 6], [4, 3], [6, 5]], 1/663552], [[[1, 3], [2, 6], [4, 4], [6, 4]], 1/1769472], [[[1, 3], [2, 6], [4, 4], [8, 2]], 7/8192], [[[1, 3], [2, 6], [4, 4], [10, 2]], 3/409600], [[[1, 3], [2, 6], [4, 4], [12, 2]], 35/73728], [[[1, 3], [2, 6], [4, 4], [20, 1]], 11/20480], [[[1, 3], [2, 6], [4, 6], [8, 1]], 1841/2949120], [[[1, 3], [2, 6], [4, 6], [12, 1]], 31/36864], [[[1, 3], [2, 6], [4, 7], [6, 1]], 107/2211840], [[[1, 3], [2, 8], [3, 1], [6, 6]], 7/373248], [[[1, 3], [2, 8], [3, 2], [6, 5]], 11/373248], [[[1, 3], [2, 8], [4, 1], [6, 6]], 5/497664], [[[1, 3], [2, 8], [4, 2], [6, 5]], 13/663552], [[[1, 3], [2, 8], [4, 3], [6, 4]], 7/294912], [[[1, 3], [2, 8], [4, 3], [8, 2]], 137/1474560], [[[1, 3], [2, 8], [4, 3], [10, 2]], 7/204800], [[[1, 3], [2, 8], [4, 3], [12, 2]], 1/221184], [[[1, 3], [2, 8], [4, 3], [20, 1]], 1/61440], [[[1, 3], [2, 8], [4, 4], [6, 3]], 5/442368], [[[1, 3], [2, 8], [4, 5], [6, 2]], 79/3538944], [[[1, 3], [2, 8], [4, 5], [8, 1]], 31/147456], [[[1, 3], [2, 8], [4, 5], [10, 1]], 1/65536], [[[1, 3], [2, 8], [4, 5], [12, 1]], 11/110592], [[[1, 3], [2, 8], [6, 3], [10, 2]], 1/86400], [[[1, 3], [2, 8], [6, 5], [10, 1]], 1/155520], [[[1, 3], [2, 10], [3, 1], [6, 5]], 709/5971968], [[[1, 3], [2, 10], [3, 2], [4, 4]], 1/26542080], [[[1, 3], [2, 10], [3, 2], [6, 4]], 341/11943936], [[[1, 3], [2, 10], [4, 1], [6, 5]], 979/7962624], [[[1, 3], [2, 10], [4, 2], [6, 4]], 11353/79626240], [[[1, 3], [2, 10], [4, 2], [8, 2]], 7/8847360], [[[1, 3], [2, 10], [4, 2], [10, 2]], 223/3686400], [[[1, 3], [2, 10], [4, 3], [6, 3]], 1081/13271040], [[[1, 3], [2, 10], [4, 4], [5, 1]], 1/7372800], [[[1, 3], [2, 10], [4, 4], [6, 2]], 19/655360], [[[1, 3], [2, 10], [4, 4], [8, 1]], 137/11796480], [[[1, 3], [2, 10], [4, 4], [10, 1]], 53/4915200], [[[1, 3], [2, 10], [4, 5], [6, 1]], 17/1769472], [[[1, 3], [2, 10], [6, 2], [10, 2]], 109/921600], [[[1, 3], [2, 10], [6, 4], [10, 1]], 647/4976640], [[[1, 3], [2, 12], [3, 1], [6, 4]], 14969/119439360], [[[1, 3], [2, 12], [3, 1], [10, 2]], 1/368640], [[[1, 3], [2, 12], [3, 2], [6, 3]], 379/79626240], [[[1, 3], [2, 12], [4, 1], [6, 4]], 4949/15925248], [[[1, 3], [2, 12], [4, 1], [10, 2]], 53/1228800], [[[1, 3], [2, 12], [4, 2], [6, 3]], 14501/59719680], [[[1, 3], [2, 12], [4, 3], [6, 2]], 3215/42467328], [[[1, 3], [2, 12], [4, 3], [8, 1]], 31/23592960], [[[1, 3], [2, 12], [4, 3], [10, 1]], 1003/58982400], [[[1, 3], [2, 12], [4, 4], [6, 1]], 17/1769472], [[[1, 3], [2, 12], [6, 1], [10, 2]], 37/460800], [[[1, 3], [2, 12], [6, 3], [10, 1]], 227/777600], [[[1, 3], [2, 14], [3, 1], [6, 3]], 63931/1911029760], [[[1, 3], [2, 14], [3, 2], [6, 2]], 853/3822059520], [[[1, 3], [2, 14], [4, 1], [6, 3]], 11041/53084160], [[[1, 3], [2, 14], [4, 2], [6, 2]], 94463/1061683200], [[[1, 3], [2, 14], [4, 2], [10, 1]], 7271/530841600], [[[1, 3], [2, 14], [4, 3], [6, 1]], 1093/88473600], [[[1, 3], [2, 14], [6, 2], [10, 1]], 218081/1592524800], [[[1, 3], [2, 16], [3, 1], [6, 2]], 3397/1194393600], [[[1, 3], [2, 16], [3, 1], [10, 1]], 1/13271040], [[[1, 3], [2, 16], [3, 2], [6, 1]], 1/477757440], [[[1, 3], [2, 16], [4, 1], [6, 2]], 54437/1274019840], [[[1, 3], [2, 16], [4, 1], [10, 1]], 1637/353894400], [[[1, 3], [2, 16], [4, 2], [6, 1]], 14347/1592524800], [[[1, 3], [2, 16], [6, 1], [10, 1]], 13633/796262400], [[[1, 3], [2, 18], [3, 1], [4, 1]], 1/597196800], [[[1, 3], [2, 18], [3, 1], [6, 1]], 5821/76441190400], [[[1, 3], [2, 18], [4, 1], [6, 1]], 2327/796262400], [[[1, 3], [4, 3], [8, 1], [12, 3]], 1/6912], [[[1, 3], [4, 5], [8, 1], [12, 2]], 1/6144], [[[1, 3], [4, 5], [8, 1], [20, 1]], 1/15360], [[[1, 3], [4, 7], [8, 1], [12, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 9]], 1/3317760], [[[1, 4], [2, 1], [4, 4], [12, 3]], 5/27648], [[[1, 4], [2, 1], [4, 6], [8, 2]], 1/23040], [[[1, 4], [2, 1], [4, 6], [12, 2]], 5/24576], [[[1, 4], [2, 1], [4, 6], [20, 1]], 1/12288], [[[1, 4], [2, 1], [4, 8], [8, 1]], 7/737280], [[[1, 4], [2, 1], [4, 8], [12, 1]], 1/36864], [[[1, 4], [2, 1], [4, 9], [6, 1]], 1/3317760], [[[1, 4], [2, 3], [3, 1], [4, 8]], 7/368640], [[[1, 4], [2, 3], [4, 3], [8, 3]], 3/4096], [[[1, 4], [2, 3], [4, 3], [12, 3]], 11/41472], [[[1, 4], [2, 3], [4, 5], [8, 2]], 1/1024], [[[1, 4], [2, 3], [4, 5], [12, 2]], 61/36864], [[[1, 4], [2, 3], [4, 5], [20, 1]], 101/92160], [[[1, 4], [2, 3], [4, 7], [8, 1]], 481/1474560], [[[1, 4], [2, 3], [4, 7], [12, 1]], 161/276480], [[[1, 4], [2, 3], [4, 8], [6, 1]], 7/368640], [[[1, 4], [2, 5], [3, 1], [4, 7]], 23/184320], [[[1, 4], [2, 5], [3, 4], [4, 4]], 1/5308416], [[[1, 4], [2, 5], [4, 2], [8, 3]], 3/4096], [[[1, 4], [2, 5], [4, 3], [6, 5]], 1/1990656], [[[1, 4], [2, 5], [4, 4], [5, 2]], 1/409600], [[[1, 4], [2, 5], [4, 4], [6, 4]], 1/1769472], [[[1, 4], [2, 5], [4, 4], [8, 2]], 37/16384], [[[1, 4], [2, 5], [4, 4], [10, 2]], 3/409600], [[[1, 4], [2, 5], [4, 4], [12, 2]], 125/110592], [[[1, 4], [2, 5], [4, 4], [20, 1]], 37/30720], [[[1, 4], [2, 5], [4, 6], [8, 1]], 3641/2211840], [[[1, 4], [2, 5], [4, 6], [12, 1]], 97/55296], [[[1, 4], [2, 5], [4, 7], [6, 1]], 97/737280], [[[1, 4], [2, 7], [3, 1], [4, 6]], 89/884736], [[[1, 4], [2, 7], [3, 1], [6, 6]], 1/124416], [[[1, 4], [2, 7], [3, 2], [4, 5]], 5/1179648], [[[1, 4], [2, 7], [3, 2], [6, 5]], 1/13824], [[[1, 4], [2, 7], [3, 3], [6, 4]], 13/124416], [[[1, 4], [2, 7], [3, 4], [6, 3]], 1/124416], [[[1, 4], [2, 7], [4, 1], [6, 6]], 5/1492992], [[[1, 4], [2, 7], [4, 2], [6, 5]], 55/3981312], [[[1, 4], [2, 7], [4, 3], [6, 4]], 169/7962624], [[[1, 4], [2, 7], [4, 3], [8, 2]], 1141/1474560], [[[1, 4], [2, 7], [4, 3], [10, 2]], 41/614400], [[[1, 4], [2, 7], [4, 3], [12, 2]], 1/24576], [[[1, 4], [2, 7], [4, 3], [20, 1]], 3/20480], [[[1, 4], [2, 7], [4, 4], [6, 3]], 1/36864], [[[1, 4], [2, 7], [4, 5], [5, 1]], 1/65536], [[[1, 4], [2, 7], [4, 5], [6, 2]], 31/884736], [[[1, 4], [2, 7], [4, 5], [8, 1]], 23/16384], [[[1, 4], [2, 7], [4, 5], [10, 1]], 1/16384], [[[1, 4], [2, 7], [4, 5], [12, 1]], 25/36864], [[[1, 4], [2, 7], [4, 6], [6, 1]], 163/884736], [[[1, 4], [2, 9], [3, 1], [6, 5]], 269/1990656], [[[1, 4], [2, 9], [3, 2], [4, 4]], 1/1474560], [[[1, 4], [2, 9], [3, 2], [6, 4]], 665/3981312], [[[1, 4], [2, 9], [3, 3], [4, 3]], 1/9953280], [[[1, 4], [2, 9], [3, 3], [6, 3]], 25/497664], [[[1, 4], [2, 9], [3, 4], [4, 2]], 1/63700992], [[[1, 4], [2, 9], [3, 4], [6, 2]], 1/3981312], [[[1, 4], [2, 9], [4, 1], [6, 5]], 845/7962624], [[[1, 4], [2, 9], [4, 2], [5, 2]], 1/4915200], [[[1, 4], [2, 9], [4, 2], [6, 4]], 6911/31850496], [[[1, 4], [2, 9], [4, 2], [8, 2]], 301/8847360], [[[1, 4], [2, 9], [4, 2], [10, 2]], 359/2457600], [[[1, 4], [2, 9], [4, 3], [6, 3]], 847/4976640], [[[1, 4], [2, 9], [4, 4], [5, 1]], 1/409600], [[[1, 4], [2, 9], [4, 4], [6, 2]], 6401/35389440], [[[1, 4], [2, 9], [4, 4], [8, 1]], 317/1179648], [[[1, 4], [2, 9], [4, 4], [10, 1]], 961/9830400], [[[1, 4], [2, 9], [4, 4], [12, 1]], 1/55296], [[[1, 4], [2, 9], [4, 5], [6, 1]], 29/442368], [[[1, 4], [2, 9], [6, 2], [10, 2]], 223/2764800], [[[1, 4], [2, 9], [6, 4], [10, 1]], 319/4976640], [[[1, 4], [2, 11], [3, 1], [4, 4]], 23/53084160], [[[1, 4], [2, 11], [3, 1], [6, 4]], 11869/39813120], [[[1, 4], [2, 11], [3, 1], [10, 2]], 3/204800], [[[1, 4], [2, 11], [3, 2], [4, 3]], 25/127401984], [[[1, 4], [2, 11], [3, 2], [6, 3]], 217/4423680], [[[1, 4], [2, 11], [3, 3], [6, 2]], 109/79626240], [[[1, 4], [2, 11], [4, 1], [6, 4]], 2725/5308416], [[[1, 4], [2, 11], [4, 1], [8, 2]], 1/8847360], [[[1, 4], [2, 11], [4, 1], [10, 2]], 421/3686400], [[[1, 4], [2, 11], [4, 2], [6, 3]], 52181/79626240], [[[1, 4], [2, 11], [4, 3], [5, 1]], 5/7077888], [[[1, 4], [2, 11], [4, 3], [6, 2]], 41/124416], [[[1, 4], [2, 11], [4, 3], [8, 1]], 631/23592960], [[[1, 4], [2, 11], [4, 3], [10, 1]], 281/2764800], [[[1, 4], [2, 11], [4, 4], [6, 1]], 277/2949120], [[[1, 4], [2, 11], [6, 1], [10, 2]], 701/5529600], [[[1, 4], [2, 11], [6, 3], [10, 1]], 3421/9953280], [[[1, 4], [2, 13], [3, 1], [6, 3]], 92939/637009920], [[[1, 4], [2, 13], [3, 2], [6, 2]], 193/53084160], [[[1, 4], [2, 13], [4, 1], [6, 3]], 36251/59719680], [[[1, 4], [2, 13], [4, 2], [6, 2]], 547843/1274019840], [[[1, 4], [2, 13], [4, 2], [8, 1]], 5/5308416], [[[1, 4], [2, 13], [4, 2], [10, 1]], 10001/117964800], [[[1, 4], [2, 13], [4, 3], [6, 1]], 161023/1592524800], [[[1, 4], [2, 13], [5, 1], [10, 1]], 1/2949120], [[[1, 4], [2, 13], [6, 2], [10, 1]], 81299/265420800], [[[1, 4], [2, 15], [3, 1], [4, 2]], 143/1592524800], [[[1, 4], [2, 15], [3, 1], [6, 2]], 32381/1592524800], [[[1, 4], [2, 15], [3, 1], [10, 1]], 13/14745600], [[[1, 4], [2, 15], [3, 2], [6, 1]], 1/15925248], [[[1, 4], [2, 15], [4, 1], [6, 2]], 129491/637009920], [[[1, 4], [2, 15], [4, 1], [10, 1]], 14657/530841600], [[[1, 4], [2, 15], [4, 2], [6, 1]], 225091/3185049600], [[[1, 4], [2, 15], [6, 1], [10, 1]], 102259/1592524800], [[[1, 4], [2, 17], [3, 1], [4, 1]], 7/132710400], [[[1, 4], [2, 17], [3, 1], [6, 1]], 5363/6370099200], [[[1, 4], [2, 17], [4, 1], [6, 1]], 22261/1061683200], [[[1, 5], [2, 2], [3, 1], [4, 8]], 7/1105920], [[[1, 5], [2, 2], [4, 3], [8, 3]], 1/4096], [[[1, 5], [2, 2], [4, 3], [12, 3]], 1/9216], [[[1, 5], [2, 2], [4, 5], [8, 2]], 1/3072], [[[1, 5], [2, 2], [4, 5], [12, 2]], 59/73728], [[[1, 5], [2, 2], [4, 5], [20, 1]], 11/20480], [[[1, 5], [2, 2], [4, 7], [8, 1]], 43/368640], [[[1, 5], [2, 2], [4, 7], [12, 1]], 53/184320], [[[1, 5], [2, 2], [4, 8], [6, 1]], 7/1105920], [[[1, 5], [2, 4], [3, 1], [4, 7]], 97/737280], [[[1, 5], [2, 4], [3, 4], [4, 4]], 1/1769472], [[[1, 5], [2, 4], [3, 5], [4, 3]], 1/1990656], [[[1, 5], [2, 4], [4, 2], [8, 3]], 3/4096], [[[1, 5], [2, 4], [4, 4], [5, 2]], 3/409600], [[[1, 5], [2, 4], [4, 4], [6, 4]], 1/5308416], [[[1, 5], [2, 4], [4, 4], [8, 2]], 37/16384], [[[1, 5], [2, 4], [4, 4], [10, 2]], 1/409600], [[[1, 5], [2, 4], [4, 4], [12, 2]], 125/110592], [[[1, 5], [2, 4], [4, 4], [20, 1]], 37/30720], [[[1, 5], [2, 4], [4, 6], [8, 1]], 3641/2211840], [[[1, 5], [2, 4], [4, 6], [12, 1]], 97/55296], [[[1, 5], [2, 4], [4, 7], [6, 1]], 23/184320], [[[1, 5], [2, 6], [3, 1], [4, 6]], 271/884736], [[[1, 5], [2, 6], [3, 1], [6, 6]], 1/1119744], [[[1, 5], [2, 6], [3, 2], [4, 5]], 5/294912], [[[1, 5], [2, 6], [3, 2], [6, 5]], 7/124416], [[[1, 5], [2, 6], [3, 3], [4, 4]], 11/884736], [[[1, 5], [2, 6], [3, 3], [6, 4]], 85/373248], [[[1, 5], [2, 6], [3, 4], [4, 3]], 7/5308416], [[[1, 5], [2, 6], [3, 4], [6, 3]], 49/373248], [[[1, 5], [2, 6], [3, 5], [6, 2]], 1/186624], [[[1, 5], [2, 6], [4, 2], [6, 5]], 5/1327104], [[[1, 5], [2, 6], [4, 3], [5, 2]], 7/409600], [[[1, 5], [2, 6], [4, 3], [6, 4]], 47/5308416], [[[1, 5], [2, 6], [4, 3], [8, 2]], 61/32768], [[[1, 5], [2, 6], [4, 3], [10, 2]], 23/409600], [[[1, 5], [2, 6], [4, 3], [12, 2]], 11/110592], [[[1, 5], [2, 6], [4, 3], [20, 1]], 11/30720], [[[1, 5], [2, 6], [4, 4], [6, 3]], 41/1327104], [[[1, 5], [2, 6], [4, 5], [5, 1]], 1/16384], [[[1, 5], [2, 6], [4, 5], [6, 2]], 5/196608], [[[1, 5], [2, 6], [4, 5], [8, 1]], 111/32768], [[[1, 5], [2, 6], [4, 5], [10, 1]], 3/32768], [[[1, 5], [2, 6], [4, 5], [12, 1]], 85/55296], [[[1, 5], [2, 6], [4, 6], [6, 1]], 115/294912], [[[1, 5], [2, 8], [3, 1], [4, 5]], 13/110592], [[[1, 5], [2, 8], [3, 1], [6, 5]], 463/5971968], [[[1, 5], [2, 8], [3, 2], [4, 4]], 739/35389440], [[[1, 5], [2, 8], [3, 2], [6, 4]], 541/1327104], [[[1, 5], [2, 8], [3, 3], [4, 3]], 1/622080], [[[1, 5], [2, 8], [3, 3], [6, 3]], 47/165888], [[[1, 5], [2, 8], [3, 4], [4, 2]], 5/21233664], [[[1, 5], [2, 8], [3, 4], [6, 2]], 221/11943936], [[[1, 5], [2, 8], [3, 5], [4, 1]], 1/23887872], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1/5971968], [[[1, 5], [2, 8], [4, 1], [6, 5]], 919/23887872], [[[1, 5], [2, 8], [4, 2], [5, 2]], 1/327680], [[[1, 5], [2, 8], [4, 2], [6, 4]], 553/3538944], [[[1, 5], [2, 8], [4, 2], [8, 2]], 455/1769472], [[[1, 5], [2, 8], [4, 2], [10, 2]], 139/819200], [[[1, 5], [2, 8], [4, 3], [6, 3]], 65/294912], [[[1, 5], [2, 8], [4, 4], [5, 1]], 739/9830400], [[[1, 5], [2, 8], [4, 4], [6, 2]], 2743/8847360], [[[1, 5], [2, 8], [4, 4], [8, 1]], 1139/655360], [[[1, 5], [2, 8], [4, 4], [10, 1]], 2389/7372800], [[[1, 5], [2, 8], [4, 4], [12, 1]], 1/6144], [[[1, 5], [2, 8], [4, 5], [6, 1]], 151/294912], [[[1, 5], [2, 8], [6, 2], [10, 2]], 3/102400], [[[1, 5], [2, 8], [6, 4], [10, 1]], 1/61440], [[[1, 5], [2, 10], [3, 1], [4, 4]], 409/53084160], [[[1, 5], [2, 10], [3, 1], [6, 4]], 45827/119439360], [[[1, 5], [2, 10], [3, 1], [10, 2]], 199/5529600], [[[1, 5], [2, 10], [3, 2], [4, 3]], 149/39813120], [[[1, 5], [2, 10], [3, 2], [6, 3]], 3221/13271040], [[[1, 5], [2, 10], [3, 3], [4, 2]], 31/53084160], [[[1, 5], [2, 10], [3, 3], [6, 2]], 1997/79626240], [[[1, 5], [2, 10], [3, 4], [4, 1]], 1/63700992], [[[1, 5], [2, 10], [3, 4], [6, 1]], 47/119439360], [[[1, 5], [2, 10], [4, 1], [5, 2]], 1/4915200], [[[1, 5], [2, 10], [4, 1], [6, 4]], 42451/95551488], [[[1, 5], [2, 10], [4, 1], [8, 2]], 19/8847360], [[[1, 5], [2, 10], [4, 1], [10, 2]], 1211/7372800], [[[1, 5], [2, 10], [4, 2], [6, 3]], 2393/2654208], [[[1, 5], [2, 10], [4, 3], [5, 1]], 137/11059200], [[[1, 5], [2, 10], [4, 3], [6, 2]], 6053/7077888], [[[1, 5], [2, 10], [4, 3], [8, 1]], 4741/17694720], [[[1, 5], [2, 10], [4, 3], [10, 1]], 10123/29491200], [[[1, 5], [2, 10], [4, 4], [6, 1]], 23171/53084160], [[[1, 5], [2, 10], [6, 1], [10, 2]], 223/1843200], [[[1, 5], [2, 10], [6, 3], [10, 1]], 257/1105920], [[[1, 5], [2, 12], [3, 1], [4, 3]], 11/3932160], [[[1, 5], [2, 12], [3, 1], [6, 3]], 1015627/2866544640], [[[1, 5], [2, 12], [3, 2], [4, 2]], 53/254803968], [[[1, 5], [2, 12], [3, 2], [6, 2]], 445/15925248], [[[1, 5], [2, 12], [3, 3], [6, 1]], 109/1911029760], [[[1, 5], [2, 12], [4, 1], [6, 3]], 236503/238878720], [[[1, 5], [2, 12], [4, 2], [5, 1]], 53/70778880], [[[1, 5], [2, 12], [4, 2], [6, 2]], 114239/106168320], [[[1, 5], [2, 12], [4, 2], [8, 1]], 133/6635520], [[[1, 5], [2, 12], [4, 2], [10, 1]], 883/3276800], [[[1, 5], [2, 12], [4, 3], [6, 1]], 5773/13271040], [[[1, 5], [2, 12], [5, 1], [10, 1]], 7/983040], [[[1, 5], [2, 12], [6, 2], [10, 1]], 1353/3276800], [[[1, 5], [2, 14], [3, 1], [4, 2]], 893/530841600], [[[1, 5], [2, 14], [3, 1], [6, 2]], 799007/9555148800], [[[1, 5], [2, 14], [3, 1], [10, 1]], 263/49766400], [[[1, 5], [2, 14], [3, 2], [6, 1]], 13/17694720], [[[1, 5], [2, 14], [4, 1], [6, 2]], 855611/1528823808], [[[1, 5], [2, 14], [4, 1], [8, 1]], 47/212336640], [[[1, 5], [2, 14], [4, 1], [10, 1]], 201959/2123366400], [[[1, 5], [2, 14], [4, 2], [6, 1]], 10441/35389440], [[[1, 5], [2, 14], [6, 1], [10, 1]], 2197/14745600], [[[1, 5], [2, 16], [3, 1], [4, 1]], 527/796262400], [[[1, 5], [2, 16], [3, 1], [6, 1]], 416497/76441190400], [[[1, 5], [2, 16], [4, 1], [6, 1]], 857387/9555148800], [[[1, 5], [4, 4], [12, 1], [20, 1]], 1/7680], [[[1, 6], [2, 1], [4, 3], [12, 3]], 1/82944], [[[1, 6], [2, 1], [4, 5], [12, 2]], 11/73728], [[[1, 6], [2, 1], [4, 5], [20, 1]], 19/184320], [[[1, 6], [2, 1], [4, 7], [8, 1]], 1/92160], [[[1, 6], [2, 1], [4, 7], [12, 1]], 31/552960], [[[1, 6], [2, 3], [3, 1], [4, 7]], 107/2211840], [[[1, 6], [2, 3], [3, 4], [4, 4]], 1/1769472], [[[1, 6], [2, 3], [3, 5], [4, 3]], 1/663552], [[[1, 6], [2, 3], [3, 6], [4, 2]], 1/2985984], [[[1, 6], [2, 3], [4, 2], [8, 3]], 1/4096], [[[1, 6], [2, 3], [4, 4], [5, 2]], 3/409600], [[[1, 6], [2, 3], [4, 4], [8, 2]], 7/8192], [[[1, 6], [2, 3], [4, 4], [12, 2]], 35/73728], [[[1, 6], [2, 3], [4, 4], [20, 1]], 11/20480], [[[1, 6], [2, 3], [4, 6], [8, 1]], 1841/2949120], [[[1, 6], [2, 3], [4, 6], [12, 1]], 31/36864], [[[1, 6], [2, 3], [4, 7], [6, 1]], 23/552960], [[[1, 6], [2, 5], [3, 1], [4, 6]], 115/294912], [[[1, 6], [2, 5], [3, 2], [4, 5]], 5/196608], [[[1, 6], [2, 5], [3, 2], [6, 5]], 1/186624], [[[1, 6], [2, 5], [3, 3], [4, 4]], 41/1327104], [[[1, 6], [2, 5], [3, 3], [6, 4]], 49/373248], [[[1, 6], [2, 5], [3, 4], [4, 3]], 47/5308416], [[[1, 6], [2, 5], [3, 4], [6, 3]], 85/373248], [[[1, 6], [2, 5], [3, 5], [4, 2]], 5/1327104], [[[1, 6], [2, 5], [3, 5], [6, 2]], 7/124416], [[[1, 6], [2, 5], [3, 6], [6, 1]], 1/1119744], [[[1, 6], [2, 5], [4, 3], [5, 2]], 23/409600], [[[1, 6], [2, 5], [4, 3], [6, 4]], 7/5308416], [[[1, 6], [2, 5], [4, 3], [8, 2]], 61/32768], [[[1, 6], [2, 5], [4, 3], [10, 2]], 7/409600], [[[1, 6], [2, 5], [4, 3], [12, 2]], 11/110592], [[[1, 6], [2, 5], [4, 3], [20, 1]], 11/30720], [[[1, 6], [2, 5], [4, 4], [6, 3]], 11/884736], [[[1, 6], [2, 5], [4, 5], [5, 1]], 3/32768], [[[1, 6], [2, 5], [4, 5], [6, 2]], 5/294912], [[[1, 6], [2, 5], [4, 5], [8, 1]], 111/32768], [[[1, 6], [2, 5], [4, 5], [10, 1]], 1/16384], [[[1, 6], [2, 5], [4, 5], [12, 1]], 85/55296], [[[1, 6], [2, 5], [4, 6], [6, 1]], 271/884736], [[[1, 6], [2, 7], [3, 1], [4, 5]], 769/1769472], [[[1, 6], [2, 7], [3, 1], [6, 5]], 133/5971968], [[[1, 6], [2, 7], [3, 2], [4, 4]], 2189/17694720], [[[1, 6], [2, 7], [3, 2], [5, 2]], 1/2764800], [[[1, 6], [2, 7], [3, 2], [6, 4]], 4301/11943936], [[[1, 6], [2, 7], [3, 3], [4, 3]], 155/2654208], [[[1, 6], [2, 7], [3, 3], [6, 3]], 131/248832], [[[1, 6], [2, 7], [3, 4], [4, 2]], 11/5308416], [[[1, 6], [2, 7], [3, 4], [5, 1]], 1/4976640], [[[1, 6], [2, 7], [3, 4], [6, 2]], 1331/11943936], [[[1, 6], [2, 7], [3, 5], [4, 1]], 5/7962624], [[[1, 6], [2, 7], [3, 5], [6, 1]], 19/5971968], [[[1, 6], [2, 7], [4, 1], [6, 5]], 35/7962624], [[[1, 6], [2, 7], [4, 2], [5, 2]], 11/409600], [[[1, 6], [2, 7], [4, 2], [6, 4]], 725/15925248], [[[1, 6], [2, 7], [4, 2], [8, 2]], 80791/132710400], [[[1, 6], [2, 7], [4, 2], [10, 2]], 121/1228800], [[[1, 6], [2, 7], [4, 3], [6, 3]], 113/663552], [[[1, 6], [2, 7], [4, 4], [5, 1]], 4427/14745600], [[[1, 6], [2, 7], [4, 4], [6, 2]], 5461/21233664], [[[1, 6], [2, 7], [4, 4], [8, 1]], 5719/1474560], [[[1, 6], [2, 7], [4, 4], [10, 1]], 911/1966080], [[[1, 6], [2, 7], [4, 4], [12, 1]], 11/27648], [[[1, 6], [2, 7], [4, 5], [6, 1]], 19/24576], [[[1, 6], [2, 7], [6, 2], [10, 2]], 1/184320], [[[1, 6], [2, 7], [6, 4], [10, 1]], 1/331776], [[[1, 6], [2, 9], [3, 1], [4, 4]], 463/1966080], [[[1, 6], [2, 9], [3, 1], [5, 2]], 1/3686400], [[[1, 6], [2, 9], [3, 1], [6, 4]], 6871/23887872], [[[1, 6], [2, 9], [3, 1], [10, 2]], 17/368640], [[[1, 6], [2, 9], [3, 2], [4, 3]], 2837/70778880], [[[1, 6], [2, 9], [3, 2], [6, 3]], 13321/19906560], [[[1, 6], [2, 9], [3, 3], [4, 2]], 739/79626240], [[[1, 6], [2, 9], [3, 3], [5, 1]], 1/6635520], [[[1, 6], [2, 9], [3, 3], [6, 2]], 7009/39813120], [[[1, 6], [2, 9], [3, 4], [4, 1]], 41/63700992], [[[1, 6], [2, 9], [3, 4], [6, 1]], 421/59719680], [[[1, 6], [2, 9], [4, 1], [5, 2]], 17/4915200], [[[1, 6], [2, 9], [4, 1], [6, 4]], 2135/10616832], [[[1, 6], [2, 9], [4, 1], [8, 2]], 109/8847360], [[[1, 6], [2, 9], [4, 1], [10, 2]], 341/2457600], [[[1, 6], [2, 9], [4, 2], [6, 3]], 10813/15925248], [[[1, 6], [2, 9], [4, 3], [5, 1]], 22397/176947200], [[[1, 6], [2, 9], [4, 3], [6, 2]], 5303/4423680], [[[1, 6], [2, 9], [4, 3], [8, 1]], 359903/265420800], [[[1, 6], [2, 9], [4, 3], [10, 1]], 291/409600], [[[1, 6], [2, 9], [4, 4], [6, 1]], 34439/26542080], [[[1, 6], [2, 9], [5, 2], [6, 1]], 1/614400], [[[1, 6], [2, 9], [6, 1], [10, 2]], 11/153600], [[[1, 6], [2, 9], [6, 3], [10, 1]], 13/138240], [[[1, 6], [2, 11], [3, 1], [4, 3]], 1399/31850496], [[[1, 6], [2, 11], [3, 1], [6, 3]], 519307/955514880], [[[1, 6], [2, 11], [3, 2], [4, 2]], 1199/212336640], [[[1, 6], [2, 11], [3, 2], [5, 1]], 1/35389440], [[[1, 6], [2, 11], [3, 2], [6, 2]], 541519/3822059520], [[[1, 6], [2, 11], [3, 2], [8, 1]], 1/19906560], [[[1, 6], [2, 11], [3, 3], [4, 1]], 217/477757440], [[[1, 6], [2, 11], [3, 3], [6, 1]], 4639/1911029760], [[[1, 6], [2, 11], [4, 1], [6, 3]], 941/995328], [[[1, 6], [2, 11], [4, 2], [5, 1]], 827/58982400], [[[1, 6], [2, 11], [4, 2], [6, 2]], 10709/6635520], [[[1, 6], [2, 11], [4, 2], [8, 1]], 1067/6635520], [[[1, 6], [2, 11], [4, 2], [10, 1]], 417/819200], [[[1, 6], [2, 11], [4, 3], [6, 1]], 61499/53084160], [[[1, 6], [2, 11], [5, 1], [8, 1]], 1/5529600], [[[1, 6], [2, 11], [5, 1], [10, 1]], 7/138240], [[[1, 6], [2, 11], [6, 2], [10, 1]], 6223/17694720], [[[1, 6], [2, 13], [3, 1], [4, 2]], 7513/530841600], [[[1, 6], [2, 13], [3, 1], [6, 2]], 12809/59719680], [[[1, 6], [2, 13], [3, 1], [10, 1]], 79/4423680], [[[1, 6], [2, 13], [3, 2], [4, 1]], 109/1528823808], [[[1, 6], [2, 13], [3, 2], [6, 1]], 9697/1911029760], [[[1, 6], [2, 13], [4, 1], [5, 1]], 109/424673280], [[[1, 6], [2, 13], [4, 1], [6, 2]], 301303/318504960], [[[1, 6], [2, 13], [4, 1], [8, 1]], 349/70778880], [[[1, 6], [2, 13], [4, 1], [10, 1]], 17863/88473600], [[[1, 6], [2, 13], [4, 2], [6, 1]], 46927/63700992], [[[1, 6], [2, 13], [6, 1], [10, 1]], 14911/66355200], [[[1, 6], [2, 15], [3, 1], [4, 1]], 10447/2388787200], [[[1, 6], [2, 15], [3, 1], [6, 1]], 336461/15288238080], [[[1, 6], [2, 15], [4, 1], [6, 1]], 34363/141557760], [[[1, 7], [2, 2], [3, 4], [4, 4]], 1/5308416], [[[1, 7], [2, 2], [3, 5], [4, 3]], 1/663552], [[[1, 7], [2, 2], [3, 6], [4, 2]], 1/995328], [[[1, 7], [2, 2], [4, 4], [5, 2]], 1/409600], [[[1, 7], [2, 2], [4, 4], [8, 2]], 1/16384], [[[1, 7], [2, 2], [4, 4], [12, 2]], 13/221184], [[[1, 7], [2, 2], [4, 4], [20, 1]], 1/12288], [[[1, 7], [2, 2], [4, 6], [8, 1]], 797/8847360], [[[1, 7], [2, 2], [4, 6], [12, 1]], 17/110592], [[[1, 7], [2, 4], [3, 1], [4, 6]], 163/884736], [[[1, 7], [2, 4], [3, 2], [4, 5]], 31/884736], [[[1, 7], [2, 4], [3, 3], [4, 4]], 1/36864], [[[1, 7], [2, 4], [3, 3], [6, 4]], 1/124416], [[[1, 7], [2, 4], [3, 4], [4, 3]], 169/7962624], [[[1, 7], [2, 4], [3, 4], [6, 3]], 13/124416], [[[1, 7], [2, 4], [3, 5], [4, 2]], 55/3981312], [[[1, 7], [2, 4], [3, 5], [6, 2]], 1/13824], [[[1, 7], [2, 4], [3, 6], [4, 1]], 5/1492992], [[[1, 7], [2, 4], [3, 6], [6, 1]], 1/124416], [[[1, 7], [2, 4], [4, 3], [5, 2]], 41/614400], [[[1, 7], [2, 4], [4, 3], [8, 2]], 1141/1474560], [[[1, 7], [2, 4], [4, 3], [12, 2]], 1/24576], [[[1, 7], [2, 4], [4, 3], [20, 1]], 3/20480], [[[1, 7], [2, 4], [4, 5], [5, 1]], 1/16384], [[[1, 7], [2, 4], [4, 5], [6, 2]], 5/1179648], [[[1, 7], [2, 4], [4, 5], [8, 1]], 23/16384], [[[1, 7], [2, 4], [4, 5], [10, 1]], 1/65536], [[[1, 7], [2, 4], [4, 5], [12, 1]], 25/36864], [[[1, 7], [2, 4], [4, 6], [6, 1]], 89/884736], [[[1, 7], [2, 6], [3, 1], [4, 5]], 19/24576], [[[1, 7], [2, 6], [3, 1], [6, 5]], 19/5971968], [[[1, 7], [2, 6], [3, 2], [4, 4]], 5461/21233664], [[[1, 7], [2, 6], [3, 2], [5, 2]], 1/184320], [[[1, 7], [2, 6], [3, 2], [6, 4]], 1331/11943936], [[[1, 7], [2, 6], [3, 3], [4, 3]], 113/663552], [[[1, 7], [2, 6], [3, 3], [6, 3]], 131/248832], [[[1, 7], [2, 6], [3, 4], [4, 2]], 725/15925248], [[[1, 7], [2, 6], [3, 4], [5, 1]], 1/331776], [[[1, 7], [2, 6], [3, 4], [6, 2]], 4301/11943936], [[[1, 7], [2, 6], [3, 5], [4, 1]], 35/7962624], [[[1, 7], [2, 6], [3, 5], [6, 1]], 133/5971968], [[[1, 7], [2, 6], [4, 1], [6, 5]], 5/7962624], [[[1, 7], [2, 6], [4, 2], [5, 2]], 121/1228800], [[[1, 7], [2, 6], [4, 2], [6, 4]], 11/5308416], [[[1, 7], [2, 6], [4, 2], [8, 2]], 80791/132710400], [[[1, 7], [2, 6], [4, 2], [10, 2]], 11/409600], [[[1, 7], [2, 6], [4, 3], [6, 3]], 155/2654208], [[[1, 7], [2, 6], [4, 4], [5, 1]], 911/1966080], [[[1, 7], [2, 6], [4, 4], [6, 2]], 2189/17694720], [[[1, 7], [2, 6], [4, 4], [8, 1]], 5719/1474560], [[[1, 7], [2, 6], [4, 4], [10, 1]], 4427/14745600], [[[1, 7], [2, 6], [4, 4], [12, 1]], 11/27648], [[[1, 7], [2, 6], [4, 5], [6, 1]], 769/1769472], [[[1, 7], [2, 6], [6, 2], [10, 2]], 1/2764800], [[[1, 7], [2, 6], [6, 4], [10, 1]], 1/4976640], [[[1, 7], [2, 8], [3, 1], [4, 4]], 2959/2949120], [[[1, 7], [2, 8], [3, 1], [5, 2]], 17/3686400], [[[1, 7], [2, 8], [3, 1], [6, 4]], 3211/23887872], [[[1, 7], [2, 8], [3, 1], [10, 2]], 59/1843200], [[[1, 7], [2, 8], [3, 2], [4, 3]], 1097/3317760], [[[1, 7], [2, 8], [3, 2], [6, 3]], 5093/5971968], [[[1, 7], [2, 8], [3, 3], [4, 2]], 823/10616832], [[[1, 7], [2, 8], [3, 3], [5, 1]], 7/2211840], [[[1, 7], [2, 8], [3, 3], [6, 2]], 12761/23887872], [[[1, 7], [2, 8], [3, 3], [10, 1]], 1/207360], [[[1, 7], [2, 8], [3, 4], [4, 1]], 359/47775744], [[[1, 7], [2, 8], [3, 4], [6, 1]], 109/2654208], [[[1, 7], [2, 8], [4, 1], [5, 2]], 79/3686400], [[[1, 7], [2, 8], [4, 1], [6, 4]], 253/5308416], [[[1, 7], [2, 8], [4, 1], [8, 2]], 3841/132710400], [[[1, 7], [2, 8], [4, 1], [10, 2]], 29/409600], [[[1, 7], [2, 8], [4, 2], [6, 3]], 131/442368], [[[1, 7], [2, 8], [4, 3], [5, 1]], 271/552960], [[[1, 7], [2, 8], [4, 3], [6, 2]], 19079/21233664], [[[1, 7], [2, 8], [4, 3], [8, 1]], 300337/106168320], [[[1, 7], [2, 8], [4, 3], [10, 1]], 543/655360], [[[1, 7], [2, 8], [4, 4], [6, 1]], 30457/17694720], [[[1, 7], [2, 8], [5, 1], [6, 3]], 1/207360], [[[1, 7], [2, 8], [5, 2], [6, 1]], 7/614400], [[[1, 7], [2, 8], [6, 1], [10, 2]], 7/276480], [[[1, 7], [2, 8], [6, 3], [10, 1]], 29/1244160], [[[1, 7], [2, 10], [3, 1], [4, 3]], 24599/63700992], [[[1, 7], [2, 10], [3, 1], [6, 3]], 546787/955514880], [[[1, 7], [2, 10], [3, 2], [4, 2]], 3037/53084160], [[[1, 7], [2, 10], [3, 2], [5, 1]], 113/106168320], [[[1, 7], [2, 10], [3, 2], [6, 2]], 120931/254803968], [[[1, 7], [2, 10], [3, 2], [8, 1]], 1/1244160], [[[1, 7], [2, 10], [3, 2], [10, 1]], 1/1658880], [[[1, 7], [2, 10], [3, 3], [4, 1]], 1003/119439360], [[[1, 7], [2, 10], [3, 3], [6, 1]], 60211/1911029760], [[[1, 7], [2, 10], [4, 1], [6, 3]], 8641/15925248], [[[1, 7], [2, 10], [4, 2], [5, 1]], 253/2457600], [[[1, 7], [2, 10], [4, 2], [6, 2]], 166919/106168320], [[[1, 7], [2, 10], [4, 2], [8, 1]], 62749/99532800], [[[1, 7], [2, 10], [4, 2], [10, 1]], 2219/3276800], [[[1, 7], [2, 10], [4, 3], [6, 1]], 27587/13271040], [[[1, 7], [2, 10], [5, 1], [6, 2]], 1/184320], [[[1, 7], [2, 10], [5, 1], [8, 1]], 1/345600], [[[1, 7], [2, 10], [5, 1], [10, 1]], 907/5529600], [[[1, 7], [2, 10], [6, 2], [8, 1]], 1/1327104], [[[1, 7], [2, 10], [6, 2], [10, 1]], 51043/265420800], [[[1, 7], [2, 10], [8, 1], [10, 1]], 1/368640], [[[1, 7], [2, 12], [3, 1], [4, 2]], 254501/3185049600], [[[1, 7], [2, 12], [3, 1], [5, 1]], 139/530841600], [[[1, 7], [2, 12], [3, 1], [6, 2]], 46051/119439360], [[[1, 7], [2, 12], [3, 1], [8, 1]], 1/6635520], [[[1, 7], [2, 12], [3, 1], [10, 1]], 1181/33177600], [[[1, 7], [2, 12], [3, 2], [4, 1]], 5213/1911029760], [[[1, 7], [2, 12], [3, 2], [6, 1]], 26771/955514880], [[[1, 7], [2, 12], [4, 1], [5, 1]], 2789/530841600], [[[1, 7], [2, 12], [4, 1], [6, 2]], 658643/637009920], [[[1, 7], [2, 12], [4, 1], [8, 1]], 2027/53084160], [[[1, 7], [2, 12], [4, 1], [10, 1]], 49619/176947200], [[[1, 7], [2, 12], [4, 2], [6, 1]], 132811/106168320], [[[1, 7], [2, 12], [5, 1], [6, 1]], 47/44236800], [[[1, 7], [2, 12], [6, 1], [8, 1]], 1/1327104], [[[1, 7], [2, 12], [6, 1], [10, 1]], 18077/79626240], [[[1, 7], [2, 14], [3, 1], [4, 1]], 7399/424673280], [[[1, 7], [2, 14], [3, 1], [6, 1]], 4512907/76441190400], [[[1, 7], [2, 14], [4, 1], [6, 1]], 1537/3538944], [[[1, 8], [2, 1], [3, 5], [4, 3]], 1/1990656], [[[1, 8], [2, 1], [3, 6], [4, 2]], 1/995328], [[[1, 8], [2, 3], [3, 2], [4, 5]], 79/3538944], [[[1, 8], [2, 3], [3, 3], [4, 4]], 5/442368], [[[1, 8], [2, 3], [3, 3], [5, 2]], 1/86400], [[[1, 8], [2, 3], [3, 4], [4, 3]], 7/294912], [[[1, 8], [2, 3], [3, 5], [4, 2]], 13/663552], [[[1, 8], [2, 3], [3, 5], [5, 1]], 1/155520], [[[1, 8], [2, 3], [3, 5], [6, 2]], 11/373248], [[[1, 8], [2, 3], [3, 6], [4, 1]], 5/497664], [[[1, 8], [2, 3], [3, 6], [6, 1]], 7/373248], [[[1, 8], [2, 3], [4, 3], [5, 2]], 7/204800], [[[1, 8], [2, 3], [4, 3], [8, 2]], 137/1474560], [[[1, 8], [2, 3], [4, 3], [12, 2]], 1/221184], [[[1, 8], [2, 3], [4, 3], [20, 1]], 1/61440], [[[1, 8], [2, 3], [4, 5], [5, 1]], 1/65536], [[[1, 8], [2, 3], [4, 5], [8, 1]], 31/147456], [[[1, 8], [2, 3], [4, 5], [12, 1]], 11/110592], [[[1, 8], [2, 5], [3, 1], [4, 5]], 151/294912], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1/5971968], [[[1, 8], [2, 5], [3, 2], [4, 4]], 2743/8847360], [[[1, 8], [2, 5], [3, 2], [5, 2]], 3/102400], [[[1, 8], [2, 5], [3, 2], [6, 4]], 221/11943936], [[[1, 8], [2, 5], [3, 3], [4, 3]], 65/294912], [[[1, 8], [2, 5], [3, 3], [6, 3]], 47/165888], [[[1, 8], [2, 5], [3, 4], [4, 2]], 553/3538944], [[[1, 8], [2, 5], [3, 4], [5, 1]], 1/61440], [[[1, 8], [2, 5], [3, 4], [6, 2]], 541/1327104], [[[1, 8], [2, 5], [3, 5], [4, 1]], 919/23887872], [[[1, 8], [2, 5], [3, 5], [6, 1]], 463/5971968], [[[1, 8], [2, 5], [4, 1], [6, 5]], 1/23887872], [[[1, 8], [2, 5], [4, 2], [5, 2]], 139/819200], [[[1, 8], [2, 5], [4, 2], [6, 4]], 5/21233664], [[[1, 8], [2, 5], [4, 2], [8, 2]], 455/1769472], [[[1, 8], [2, 5], [4, 2], [10, 2]], 1/327680], [[[1, 8], [2, 5], [4, 3], [6, 3]], 1/622080], [[[1, 8], [2, 5], [4, 4], [5, 1]], 2389/7372800], [[[1, 8], [2, 5], [4, 4], [6, 2]], 739/35389440], [[[1, 8], [2, 5], [4, 4], [8, 1]], 1139/655360], [[[1, 8], [2, 5], [4, 4], [10, 1]], 739/9830400], [[[1, 8], [2, 5], [4, 4], [12, 1]], 1/6144], [[[1, 8], [2, 5], [4, 5], [6, 1]], 13/110592], [[[1, 8], [2, 7], [3, 1], [4, 4]], 30457/17694720], [[[1, 8], [2, 7], [3, 1], [5, 2]], 7/276480], [[[1, 8], [2, 7], [3, 1], [6, 4]], 109/2654208], [[[1, 8], [2, 7], [3, 1], [10, 2]], 7/614400], [[[1, 8], [2, 7], [3, 2], [4, 3]], 19079/21233664], [[[1, 8], [2, 7], [3, 2], [6, 3]], 12761/23887872], [[[1, 8], [2, 7], [3, 3], [4, 2]], 131/442368], [[[1, 8], [2, 7], [3, 3], [5, 1]], 29/1244160], [[[1, 8], [2, 7], [3, 3], [6, 2]], 5093/5971968], [[[1, 8], [2, 7], [3, 3], [10, 1]], 1/207360], [[[1, 8], [2, 7], [3, 4], [4, 1]], 253/5308416], [[[1, 8], [2, 7], [3, 4], [6, 1]], 3211/23887872], [[[1, 8], [2, 7], [4, 1], [5, 2]], 29/409600], [[[1, 8], [2, 7], [4, 1], [6, 4]], 359/47775744], [[[1, 8], [2, 7], [4, 1], [8, 2]], 3841/132710400], [[[1, 8], [2, 7], [4, 1], [10, 2]], 79/3686400], [[[1, 8], [2, 7], [4, 2], [6, 3]], 823/10616832], [[[1, 8], [2, 7], [4, 3], [5, 1]], 543/655360], [[[1, 8], [2, 7], [4, 3], [6, 2]], 1097/3317760], [[[1, 8], [2, 7], [4, 3], [8, 1]], 300337/106168320], [[[1, 8], [2, 7], [4, 3], [10, 1]], 271/552960], [[[1, 8], [2, 7], [4, 4], [6, 1]], 2959/2949120], [[[1, 8], [2, 7], [5, 1], [6, 3]], 1/207360], [[[1, 8], [2, 7], [5, 2], [6, 1]], 59/1843200], [[[1, 8], [2, 7], [6, 1], [10, 2]], 17/3686400], [[[1, 8], [2, 7], [6, 3], [10, 1]], 7/2211840], [[[1, 8], [2, 9], [3, 1], [4, 3]], 124583/88473600], [[[1, 8], [2, 9], [3, 1], [6, 3]], 373769/955514880], [[[1, 8], [2, 9], [3, 2], [4, 2]], 45505/127401984], [[[1, 8], [2, 9], [3, 2], [5, 1]], 149/11796480], [[[1, 8], [2, 9], [3, 2], [6, 2]], 137227/159252480], [[[1, 8], [2, 9], [3, 2], [8, 1]], 1/331776], [[[1, 8], [2, 9], [3, 2], [10, 1]], 31/1658880], [[[1, 8], [2, 9], [3, 3], [4, 1]], 581/10616832], [[[1, 8], [2, 9], [3, 3], [6, 1]], 293041/1911029760], [[[1, 8], [2, 9], [4, 1], [6, 3]], 12037/59719680], [[[1, 8], [2, 9], [4, 2], [5, 1]], 64873/176947200], [[[1, 8], [2, 9], [4, 2], [6, 2]], 84175/84934656], [[[1, 8], [2, 9], [4, 2], [8, 1]], 496681/398131200], [[[1, 8], [2, 9], [4, 2], [10, 1]], 5053/7864320], [[[1, 8], [2, 9], [4, 3], [6, 1]], 618119/265420800], [[[1, 8], [2, 9], [5, 1], [6, 2]], 13/552960], [[[1, 8], [2, 9], [5, 1], [8, 1]], 1/92160], [[[1, 8], [2, 9], [5, 1], [10, 1]], 719/2457600], [[[1, 8], [2, 9], [6, 2], [8, 1]], 1/331776], [[[1, 8], [2, 9], [6, 2], [10, 1]], 155/2359296], [[[1, 8], [2, 9], [8, 1], [10, 1]], 1/92160], [[[1, 8], [2, 11], [3, 1], [4, 2]], 36103/106168320], [[[1, 8], [2, 11], [3, 1], [5, 1]], 1247/265420800], [[[1, 8], [2, 11], [3, 1], [6, 2]], 15607/29859840], [[[1, 8], [2, 11], [3, 1], [8, 1]], 49/19906560], [[[1, 8], [2, 11], [3, 1], [10, 1]], 3103/66355200], [[[1, 8], [2, 11], [3, 2], [4, 1]], 13703/424673280], [[[1, 8], [2, 11], [3, 2], [6, 1]], 14317/119439360], [[[1, 8], [2, 11], [4, 1], [5, 1]], 40063/1061683200], [[[1, 8], [2, 11], [4, 1], [6, 2]], 747149/955514880], [[[1, 8], [2, 11], [4, 1], [8, 1]], 107153/796262400], [[[1, 8], [2, 11], [4, 1], [10, 1]], 75109/265420800], [[[1, 8], [2, 11], [4, 2], [6, 1]], 339977/212336640], [[[1, 8], [2, 11], [5, 1], [6, 1]], 251/22118400], [[[1, 8], [2, 11], [6, 1], [8, 1]], 7/1327104], [[[1, 8], [2, 11], [6, 1], [10, 1]], 27673/176947200], [[[1, 8], [2, 13], [3, 1], [4, 1]], 482473/9555148800], [[[1, 8], [2, 13], [3, 1], [6, 1]], 594301/5096079360], [[[1, 8], [2, 13], [4, 1], [6, 1]], 2629477/4777574400], [[[1, 9], [2, 2], [3, 3], [4, 4]], 7/2654208], [[[1, 9], [2, 2], [3, 3], [5, 2]], 1/28800], [[[1, 9], [2, 2], [3, 4], [4, 3]], 67/5308416], [[[1, 9], [2, 2], [3, 5], [4, 2]], 1/73728], [[[1, 9], [2, 2], [3, 5], [5, 1]], 1/51840], [[[1, 9], [2, 2], [3, 5], [6, 2]], 1/124416], [[[1, 9], [2, 2], [3, 6], [4, 1]], 5/497664], [[[1, 9], [2, 2], [3, 6], [6, 1]], 19/1119744], [[[1, 9], [2, 2], [4, 3], [5, 2]], 3/409600], [[[1, 9], [2, 2], [4, 3], [8, 2]], 1/1474560], [[[1, 9], [2, 4], [3, 1], [4, 5]], 29/442368], [[[1, 9], [2, 4], [3, 2], [4, 4]], 6401/35389440], [[[1, 9], [2, 4], [3, 2], [5, 2]], 223/2764800], [[[1, 9], [2, 4], [3, 2], [6, 4]], 1/3981312], [[[1, 9], [2, 4], [3, 3], [4, 3]], 847/4976640], [[[1, 9], [2, 4], [3, 3], [6, 3]], 25/497664], [[[1, 9], [2, 4], [3, 4], [4, 2]], 6911/31850496], [[[1, 9], [2, 4], [3, 4], [5, 1]], 319/4976640], [[[1, 9], [2, 4], [3, 4], [6, 2]], 665/3981312], [[[1, 9], [2, 4], [3, 5], [4, 1]], 845/7962624], [[[1, 9], [2, 4], [3, 5], [6, 1]], 269/1990656], [[[1, 9], [2, 4], [4, 2], [5, 2]], 359/2457600], [[[1, 9], [2, 4], [4, 2], [6, 4]], 1/63700992], [[[1, 9], [2, 4], [4, 2], [8, 2]], 301/8847360], [[[1, 9], [2, 4], [4, 2], [10, 2]], 1/4915200], [[[1, 9], [2, 4], [4, 3], [6, 3]], 1/9953280], [[[1, 9], [2, 4], [4, 4], [5, 1]], 961/9830400], [[[1, 9], [2, 4], [4, 4], [6, 2]], 1/1474560], [[[1, 9], [2, 4], [4, 4], [8, 1]], 317/1179648], [[[1, 9], [2, 4], [4, 4], [10, 1]], 1/409600], [[[1, 9], [2, 4], [4, 4], [12, 1]], 1/55296], [[[1, 9], [2, 6], [3, 1], [4, 4]], 34439/26542080], [[[1, 9], [2, 6], [3, 1], [5, 2]], 11/153600], [[[1, 9], [2, 6], [3, 1], [6, 4]], 421/59719680], [[[1, 9], [2, 6], [3, 1], [10, 2]], 1/614400], [[[1, 9], [2, 6], [3, 2], [4, 3]], 5303/4423680], [[[1, 9], [2, 6], [3, 2], [6, 3]], 7009/39813120], [[[1, 9], [2, 6], [3, 3], [4, 2]], 10813/15925248], [[[1, 9], [2, 6], [3, 3], [5, 1]], 13/138240], [[[1, 9], [2, 6], [3, 3], [6, 2]], 13321/19906560], [[[1, 9], [2, 6], [3, 4], [4, 1]], 2135/10616832], [[[1, 9], [2, 6], [3, 4], [6, 1]], 6871/23887872], [[[1, 9], [2, 6], [4, 1], [5, 2]], 341/2457600], [[[1, 9], [2, 6], [4, 1], [6, 4]], 41/63700992], [[[1, 9], [2, 6], [4, 1], [8, 2]], 109/8847360], [[[1, 9], [2, 6], [4, 1], [10, 2]], 17/4915200], [[[1, 9], [2, 6], [4, 2], [6, 3]], 739/79626240], [[[1, 9], [2, 6], [4, 3], [5, 1]], 291/409600], [[[1, 9], [2, 6], [4, 3], [6, 2]], 2837/70778880], [[[1, 9], [2, 6], [4, 3], [8, 1]], 359903/265420800], [[[1, 9], [2, 6], [4, 3], [10, 1]], 22397/176947200], [[[1, 9], [2, 6], [4, 4], [6, 1]], 463/1966080], [[[1, 9], [2, 6], [5, 2], [6, 1]], 17/368640], [[[1, 9], [2, 6], [6, 1], [10, 2]], 1/3686400], [[[1, 9], [2, 6], [6, 3], [10, 1]], 1/6635520], [[[1, 9], [2, 8], [3, 1], [4, 3]], 618119/265420800], [[[1, 9], [2, 8], [3, 1], [6, 3]], 293041/1911029760], [[[1, 9], [2, 8], [3, 2], [4, 2]], 84175/84934656], [[[1, 9], [2, 8], [3, 2], [5, 1]], 155/2359296], [[[1, 9], [2, 8], [3, 2], [6, 2]], 137227/159252480], [[[1, 9], [2, 8], [3, 2], [8, 1]], 1/331776], [[[1, 9], [2, 8], [3, 2], [10, 1]], 13/552960], [[[1, 9], [2, 8], [3, 3], [4, 1]], 12037/59719680], [[[1, 9], [2, 8], [3, 3], [6, 1]], 373769/955514880], [[[1, 9], [2, 8], [4, 1], [6, 3]], 581/10616832], [[[1, 9], [2, 8], [4, 2], [5, 1]], 5053/7864320], [[[1, 9], [2, 8], [4, 2], [6, 2]], 45505/127401984], [[[1, 9], [2, 8], [4, 2], [8, 1]], 496681/398131200], [[[1, 9], [2, 8], [4, 2], [10, 1]], 64873/176947200], [[[1, 9], [2, 8], [4, 3], [6, 1]], 124583/88473600], [[[1, 9], [2, 8], [5, 1], [6, 2]], 31/1658880], [[[1, 9], [2, 8], [5, 1], [8, 1]], 1/92160], [[[1, 9], [2, 8], [5, 1], [10, 1]], 719/2457600], [[[1, 9], [2, 8], [6, 2], [8, 1]], 1/331776], [[[1, 9], [2, 8], [6, 2], [10, 1]], 149/11796480], [[[1, 9], [2, 8], [8, 1], [10, 1]], 1/92160], [[[1, 9], [2, 10], [3, 1], [4, 2]], 249997/265420800], [[[1, 9], [2, 10], [3, 1], [5, 1]], 349/13271040], [[[1, 9], [2, 10], [3, 1], [6, 2]], 1614743/3185049600], [[[1, 9], [2, 10], [3, 1], [8, 1]], 49/4976640], [[[1, 9], [2, 10], [3, 1], [10, 1]], 871/16588800], [[[1, 9], [2, 10], [3, 2], [4, 1]], 105227/637009920], [[[1, 9], [2, 10], [3, 2], [6, 1]], 56191/176947200], [[[1, 9], [2, 10], [4, 1], [5, 1]], 67889/530841600], [[[1, 9], [2, 10], [4, 1], [6, 2]], 369379/849346560], [[[1, 9], [2, 10], [4, 1], [8, 1]], 14573/58982400], [[[1, 9], [2, 10], [4, 1], [10, 1]], 17921/78643200], [[[1, 9], [2, 10], [4, 2], [6, 1]], 2425687/1592524800], [[[1, 9], [2, 10], [5, 1], [6, 1]], 203/5308416], [[[1, 9], [2, 10], [6, 1], [8, 1]], 1/82944], [[[1, 9], [2, 10], [6, 1], [10, 1]], 6767/88473600], [[[1, 9], [2, 12], [3, 1], [4, 1]], 249713/1911029760], [[[1, 9], [2, 12], [3, 1], [6, 1]], 14533459/76441190400], [[[1, 9], [2, 12], [4, 1], [6, 1]], 349099/637009920], [[[1, 9], [3, 2], [4, 2], [5, 2]], 1/230400], [[[1, 9], [3, 4], [4, 2], [5, 1]], 1/414720], [[[1, 10], [2, 1], [3, 3], [5, 2]], 1/28800], [[[1, 10], [2, 1], [3, 4], [4, 3]], 41/15925248], [[[1, 10], [2, 1], [3, 5], [4, 2]], 19/3981312], [[[1, 10], [2, 1], [3, 5], [5, 1]], 1/51840], [[[1, 10], [2, 1], [3, 6], [4, 1]], 5/1492992], [[[1, 10], [2, 1], [3, 6], [6, 1]], 1/186624], [[[1, 10], [2, 1], [4, 3], [5, 2]], 1/1228800], [[[1, 10], [2, 3], [3, 1], [4, 5]], 17/1769472], [[[1, 10], [2, 3], [3, 2], [4, 4]], 19/655360], [[[1, 10], [2, 3], [3, 2], [5, 2]], 109/921600], [[[1, 10], [2, 3], [3, 3], [4, 3]], 1081/13271040], [[[1, 10], [2, 3], [3, 4], [4, 2]], 11353/79626240], [[[1, 10], [2, 3], [3, 4], [5, 1]], 647/4976640], [[[1, 10], [2, 3], [3, 4], [6, 2]], 341/11943936], [[[1, 10], [2, 3], [3, 5], [4, 1]], 979/7962624], [[[1, 10], [2, 3], [3, 5], [6, 1]], 709/5971968], [[[1, 10], [2, 3], [4, 2], [5, 2]], 223/3686400], [[[1, 10], [2, 3], [4, 2], [8, 2]], 7/8847360], [[[1, 10], [2, 3], [4, 4], [5, 1]], 53/4915200], [[[1, 10], [2, 3], [4, 4], [6, 2]], 1/26542080], [[[1, 10], [2, 3], [4, 4], [8, 1]], 137/11796480], [[[1, 10], [2, 3], [4, 4], [10, 1]], 1/7372800], [[[1, 10], [2, 5], [3, 1], [4, 4]], 23171/53084160], [[[1, 10], [2, 5], [3, 1], [5, 2]], 223/1843200], [[[1, 10], [2, 5], [3, 1], [6, 4]], 47/119439360], [[[1, 10], [2, 5], [3, 2], [4, 3]], 6053/7077888], [[[1, 10], [2, 5], [3, 2], [6, 3]], 1997/79626240], [[[1, 10], [2, 5], [3, 3], [4, 2]], 2393/2654208], [[[1, 10], [2, 5], [3, 3], [5, 1]], 257/1105920], [[[1, 10], [2, 5], [3, 3], [6, 2]], 3221/13271040], [[[1, 10], [2, 5], [3, 4], [4, 1]], 42451/95551488], [[[1, 10], [2, 5], [3, 4], [6, 1]], 45827/119439360], [[[1, 10], [2, 5], [4, 1], [5, 2]], 1211/7372800], [[[1, 10], [2, 5], [4, 1], [6, 4]], 1/63700992], [[[1, 10], [2, 5], [4, 1], [8, 2]], 19/8847360], [[[1, 10], [2, 5], [4, 1], [10, 2]], 1/4915200], [[[1, 10], [2, 5], [4, 2], [6, 3]], 31/53084160], [[[1, 10], [2, 5], [4, 3], [5, 1]], 10123/29491200], [[[1, 10], [2, 5], [4, 3], [6, 2]], 149/39813120], [[[1, 10], [2, 5], [4, 3], [8, 1]], 4741/17694720], [[[1, 10], [2, 5], [4, 3], [10, 1]], 137/11059200], [[[1, 10], [2, 5], [4, 4], [6, 1]], 409/53084160], [[[1, 10], [2, 5], [5, 2], [6, 1]], 199/5529600], [[[1, 10], [2, 7], [3, 1], [4, 3]], 27587/13271040], [[[1, 10], [2, 7], [3, 1], [6, 3]], 60211/1911029760], [[[1, 10], [2, 7], [3, 2], [4, 2]], 166919/106168320], [[[1, 10], [2, 7], [3, 2], [5, 1]], 51043/265420800], [[[1, 10], [2, 7], [3, 2], [6, 2]], 120931/254803968], [[[1, 10], [2, 7], [3, 2], [8, 1]], 1/1327104], [[[1, 10], [2, 7], [3, 2], [10, 1]], 1/184320], [[[1, 10], [2, 7], [3, 3], [4, 1]], 8641/15925248], [[[1, 10], [2, 7], [3, 3], [6, 1]], 546787/955514880], [[[1, 10], [2, 7], [4, 1], [6, 3]], 1003/119439360], [[[1, 10], [2, 7], [4, 2], [5, 1]], 2219/3276800], [[[1, 10], [2, 7], [4, 2], [6, 2]], 3037/53084160], [[[1, 10], [2, 7], [4, 2], [8, 1]], 62749/99532800], [[[1, 10], [2, 7], [4, 2], [10, 1]], 253/2457600], [[[1, 10], [2, 7], [4, 3], [6, 1]], 24599/63700992], [[[1, 10], [2, 7], [5, 1], [6, 2]], 1/1658880], [[[1, 10], [2, 7], [5, 1], [8, 1]], 1/368640], [[[1, 10], [2, 7], [5, 1], [10, 1]], 907/5529600], [[[1, 10], [2, 7], [6, 2], [8, 1]], 1/1244160], [[[1, 10], [2, 7], [6, 2], [10, 1]], 113/106168320], [[[1, 10], [2, 7], [8, 1], [10, 1]], 1/345600], [[[1, 10], [2, 9], [3, 1], [4, 2]], 2425687/1592524800], [[[1, 10], [2, 9], [3, 1], [5, 1]], 6767/88473600], [[[1, 10], [2, 9], [3, 1], [6, 2]], 56191/176947200], [[[1, 10], [2, 9], [3, 1], [8, 1]], 1/82944], [[[1, 10], [2, 9], [3, 1], [10, 1]], 203/5308416], [[[1, 10], [2, 9], [3, 2], [4, 1]], 369379/849346560], [[[1, 10], [2, 9], [3, 2], [6, 1]], 1614743/3185049600], [[[1, 10], [2, 9], [4, 1], [5, 1]], 17921/78643200], [[[1, 10], [2, 9], [4, 1], [6, 2]], 105227/637009920], [[[1, 10], [2, 9], [4, 1], [8, 1]], 14573/58982400], [[[1, 10], [2, 9], [4, 1], [10, 1]], 67889/530841600], [[[1, 10], [2, 9], [4, 2], [6, 1]], 249997/265420800], [[[1, 10], [2, 9], [5, 1], [6, 1]], 871/16588800], [[[1, 10], [2, 9], [6, 1], [8, 1]], 49/4976640], [[[1, 10], [2, 9], [6, 1], [10, 1]], 349/13271040], [[[1, 10], [2, 11], [3, 1], [4, 1]], 228223/796262400], [[[1, 10], [2, 11], [3, 1], [6, 1]], 19501093/76441190400], [[[1, 10], [2, 11], [4, 1], [6, 1]], 962873/2123366400], [[[1, 11], [2, 2], [3, 2], [4, 4]], 157/35389440], [[[1, 11], [2, 2], [3, 2], [5, 2]], 83/921600], [[[1, 11], [2, 2], [3, 3], [4, 3]], 23/1105920], [[[1, 11], [2, 2], [3, 4], [4, 2]], 127/2949120], [[[1, 11], [2, 2], [3, 4], [5, 1]], 211/1658880], [[[1, 11], [2, 2], [3, 4], [6, 2]], 1/442368], [[[1, 11], [2, 2], [3, 5], [4, 1]], 167/2654208], [[[1, 11], [2, 2], [3, 5], [6, 1]], 97/1990656], [[[1, 11], [2, 2], [4, 2], [5, 2]], 13/1228800], [[[1, 11], [2, 2], [4, 4], [5, 1]], 31/29491200], [[[1, 11], [2, 2], [4, 4], [8, 1]], 7/11796480], [[[1, 11], [2, 4], [3, 1], [4, 4]], 277/2949120], [[[1, 11], [2, 4], [3, 1], [5, 2]], 701/5529600], [[[1, 11], [2, 4], [3, 2], [4, 3]], 41/124416], [[[1, 11], [2, 4], [3, 2], [6, 3]], 109/79626240], [[[1, 11], [2, 4], [3, 3], [4, 2]], 52181/79626240], [[[1, 11], [2, 4], [3, 3], [5, 1]], 3421/9953280], [[[1, 11], [2, 4], [3, 3], [6, 2]], 217/4423680], [[[1, 11], [2, 4], [3, 4], [4, 1]], 2725/5308416], [[[1, 11], [2, 4], [3, 4], [6, 1]], 11869/39813120], [[[1, 11], [2, 4], [4, 1], [5, 2]], 421/3686400], [[[1, 11], [2, 4], [4, 1], [8, 2]], 1/8847360], [[[1, 11], [2, 4], [4, 3], [5, 1]], 281/2764800], [[[1, 11], [2, 4], [4, 3], [6, 2]], 25/127401984], [[[1, 11], [2, 4], [4, 3], [8, 1]], 631/23592960], [[[1, 11], [2, 4], [4, 3], [10, 1]], 5/7077888], [[[1, 11], [2, 4], [4, 4], [6, 1]], 23/53084160], [[[1, 11], [2, 4], [5, 2], [6, 1]], 3/204800], [[[1, 11], [2, 6], [3, 1], [4, 3]], 61499/53084160], [[[1, 11], [2, 6], [3, 1], [6, 3]], 4639/1911029760], [[[1, 11], [2, 6], [3, 2], [4, 2]], 10709/6635520], [[[1, 11], [2, 6], [3, 2], [5, 1]], 6223/17694720], [[[1, 11], [2, 6], [3, 2], [6, 2]], 541519/3822059520], [[[1, 11], [2, 6], [3, 3], [4, 1]], 941/995328], [[[1, 11], [2, 6], [3, 3], [6, 1]], 519307/955514880], [[[1, 11], [2, 6], [4, 1], [6, 3]], 217/477757440], [[[1, 11], [2, 6], [4, 2], [5, 1]], 417/819200], [[[1, 11], [2, 6], [4, 2], [6, 2]], 1199/212336640], [[[1, 11], [2, 6], [4, 2], [8, 1]], 1067/6635520], [[[1, 11], [2, 6], [4, 2], [10, 1]], 827/58982400], [[[1, 11], [2, 6], [4, 3], [6, 1]], 1399/31850496], [[[1, 11], [2, 6], [5, 1], [10, 1]], 7/138240], [[[1, 11], [2, 6], [6, 2], [8, 1]], 1/19906560], [[[1, 11], [2, 6], [6, 2], [10, 1]], 1/35389440], [[[1, 11], [2, 6], [8, 1], [10, 1]], 1/5529600], [[[1, 11], [2, 8], [3, 1], [4, 2]], 339977/212336640], [[[1, 11], [2, 8], [3, 1], [5, 1]], 27673/176947200], [[[1, 11], [2, 8], [3, 1], [6, 2]], 14317/119439360], [[[1, 11], [2, 8], [3, 1], [8, 1]], 7/1327104], [[[1, 11], [2, 8], [3, 1], [10, 1]], 251/22118400], [[[1, 11], [2, 8], [3, 2], [4, 1]], 747149/955514880], [[[1, 11], [2, 8], [3, 2], [6, 1]], 15607/29859840], [[[1, 11], [2, 8], [4, 1], [5, 1]], 75109/265420800], [[[1, 11], [2, 8], [4, 1], [6, 2]], 13703/424673280], [[[1, 11], [2, 8], [4, 1], [8, 1]], 107153/796262400], [[[1, 11], [2, 8], [4, 1], [10, 1]], 40063/1061683200], [[[1, 11], [2, 8], [4, 2], [6, 1]], 36103/106168320], [[[1, 11], [2, 8], [5, 1], [6, 1]], 3103/66355200], [[[1, 11], [2, 8], [6, 1], [8, 1]], 49/19906560], [[[1, 11], [2, 8], [6, 1], [10, 1]], 1247/265420800], [[[1, 11], [2, 10], [3, 1], [4, 1]], 962873/2123366400], [[[1, 11], [2, 10], [3, 1], [6, 1]], 19501093/76441190400], [[[1, 11], [2, 10], [4, 1], [6, 1]], 228223/796262400], [[[1, 11], [3, 1], [4, 2], [5, 2]], 1/921600], [[[1, 11], [3, 3], [4, 2], [5, 1]], 1/331776], [[[1, 12], [2, 1], [3, 2], [5, 2]], 29/921600], [[[1, 12], [2, 1], [3, 3], [4, 3]], 101/39813120], [[[1, 12], [2, 1], [3, 4], [4, 2]], 1721/318504960], [[[1, 12], [2, 1], [3, 4], [5, 1]], 31/552960], [[[1, 12], [2, 1], [3, 5], [4, 1]], 91/7962624], [[[1, 12], [2, 1], [3, 5], [6, 1]], 41/5971968], [[[1, 12], [2, 1], [4, 2], [5, 2]], 1/983040], [[[1, 12], [2, 3], [3, 1], [4, 4]], 17/1769472], [[[1, 12], [2, 3], [3, 1], [5, 2]], 37/460800], [[[1, 12], [2, 3], [3, 2], [4, 3]], 3215/42467328], [[[1, 12], [2, 3], [3, 3], [4, 2]], 14501/59719680], [[[1, 12], [2, 3], [3, 3], [5, 1]], 227/777600], [[[1, 12], [2, 3], [3, 3], [6, 2]], 379/79626240], [[[1, 12], [2, 3], [3, 4], [4, 1]], 4949/15925248], [[[1, 12], [2, 3], [3, 4], [6, 1]], 14969/119439360], [[[1, 12], [2, 3], [4, 1], [5, 2]], 53/1228800], [[[1, 12], [2, 3], [4, 3], [5, 1]], 1003/58982400], [[[1, 12], [2, 3], [4, 3], [8, 1]], 31/23592960], [[[1, 12], [2, 3], [5, 2], [6, 1]], 1/368640], [[[1, 12], [2, 5], [3, 1], [4, 3]], 5773/13271040], [[[1, 12], [2, 5], [3, 1], [6, 3]], 109/1911029760], [[[1, 12], [2, 5], [3, 2], [4, 2]], 114239/106168320], [[[1, 12], [2, 5], [3, 2], [5, 1]], 1353/3276800], [[[1, 12], [2, 5], [3, 2], [6, 2]], 445/15925248], [[[1, 12], [2, 5], [3, 3], [4, 1]], 236503/238878720], [[[1, 12], [2, 5], [3, 3], [6, 1]], 1015627/2866544640], [[[1, 12], [2, 5], [4, 2], [5, 1]], 883/3276800], [[[1, 12], [2, 5], [4, 2], [6, 2]], 53/254803968], [[[1, 12], [2, 5], [4, 2], [8, 1]], 133/6635520], [[[1, 12], [2, 5], [4, 2], [10, 1]], 53/70778880], [[[1, 12], [2, 5], [4, 3], [6, 1]], 11/3932160], [[[1, 12], [2, 5], [5, 1], [10, 1]], 7/983040], [[[1, 12], [2, 7], [3, 1], [4, 2]], 132811/106168320], [[[1, 12], [2, 7], [3, 1], [5, 1]], 18077/79626240], [[[1, 12], [2, 7], [3, 1], [6, 2]], 26771/955514880], [[[1, 12], [2, 7], [3, 1], [8, 1]], 1/1327104], [[[1, 12], [2, 7], [3, 1], [10, 1]], 47/44236800], [[[1, 12], [2, 7], [3, 2], [4, 1]], 658643/637009920], [[[1, 12], [2, 7], [3, 2], [6, 1]], 46051/119439360], [[[1, 12], [2, 7], [4, 1], [5, 1]], 49619/176947200], [[[1, 12], [2, 7], [4, 1], [6, 2]], 5213/1911029760], [[[1, 12], [2, 7], [4, 1], [8, 1]], 2027/53084160], [[[1, 12], [2, 7], [4, 1], [10, 1]], 2789/530841600], [[[1, 12], [2, 7], [4, 2], [6, 1]], 254501/3185049600], [[[1, 12], [2, 7], [5, 1], [6, 1]], 1181/33177600], [[[1, 12], [2, 7], [6, 1], [8, 1]], 1/6635520], [[[1, 12], [2, 7], [6, 1], [10, 1]], 139/530841600], [[[1, 12], [2, 9], [3, 1], [4, 1]], 349099/637009920], [[[1, 12], [2, 9], [3, 1], [6, 1]], 14533459/76441190400], [[[1, 12], [2, 9], [4, 1], [6, 1]], 249713/1911029760], [[[1, 13], [2, 2], [3, 1], [4, 4]], 41/53084160], [[[1, 13], [2, 2], [3, 1], [5, 2]], 13/460800], [[[1, 13], [2, 2], [3, 2], [4, 3]], 5/663552], [[[1, 13], [2, 2], [3, 3], [4, 2]], 6241/159252480], [[[1, 13], [2, 2], [3, 3], [5, 1]], 23/172800], [[[1, 13], [2, 2], [3, 3], [6, 2]], 1/5308416], [[[1, 13], [2, 2], [3, 4], [4, 1]], 1943/21233664], [[[1, 13], [2, 2], [3, 4], [6, 1]], 299/11943936], [[[1, 13], [2, 2], [4, 1], [5, 2]], 37/4915200], [[[1, 13], [2, 2], [4, 3], [5, 1]], 1/614400], [[[1, 13], [2, 2], [5, 2], [6, 1]], 1/5529600], [[[1, 13], [2, 4], [3, 1], [4, 3]], 161023/1592524800], [[[1, 13], [2, 4], [3, 2], [4, 2]], 547843/1274019840], [[[1, 13], [2, 4], [3, 2], [5, 1]], 81299/265420800], [[[1, 13], [2, 4], [3, 2], [6, 2]], 193/53084160], [[[1, 13], [2, 4], [3, 3], [4, 1]], 36251/59719680], [[[1, 13], [2, 4], [3, 3], [6, 1]], 92939/637009920], [[[1, 13], [2, 4], [4, 2], [5, 1]], 10001/117964800], [[[1, 13], [2, 4], [4, 2], [8, 1]], 5/5308416], [[[1, 13], [2, 4], [5, 1], [10, 1]], 1/2949120], [[[1, 13], [2, 6], [3, 1], [4, 2]], 46927/63700992], [[[1, 13], [2, 6], [3, 1], [5, 1]], 14911/66355200], [[[1, 13], [2, 6], [3, 1], [6, 2]], 9697/1911029760], [[[1, 13], [2, 6], [3, 2], [4, 1]], 301303/318504960], [[[1, 13], [2, 6], [3, 2], [6, 1]], 12809/59719680], [[[1, 13], [2, 6], [4, 1], [5, 1]], 17863/88473600], [[[1, 13], [2, 6], [4, 1], [6, 2]], 109/1528823808], [[[1, 13], [2, 6], [4, 1], [8, 1]], 349/70778880], [[[1, 13], [2, 6], [4, 1], [10, 1]], 109/424673280], [[[1, 13], [2, 6], [4, 2], [6, 1]], 7513/530841600], [[[1, 13], [2, 6], [5, 1], [6, 1]], 79/4423680], [[[1, 13], [2, 8], [3, 1], [4, 1]], 2629477/4777574400], [[[1, 13], [2, 8], [3, 1], [6, 1]], 594301/5096079360], [[[1, 13], [2, 8], [4, 1], [6, 1]], 482473/9555148800], [[[1, 13], [3, 2], [4, 2], [5, 1]], 31/44236800], [[[1, 14], [2, 1], [3, 1], [5, 2]], 17/3686400], [[[1, 14], [2, 1], [3, 2], [4, 3]], 337/637009920], [[[1, 14], [2, 1], [3, 3], [4, 2]], 151/79626240], [[[1, 14], [2, 1], [3, 3], [5, 1]], 941/33177600], [[[1, 14], [2, 1], [3, 4], [4, 1]], 215/21233664], [[[1, 14], [2, 1], [3, 4], [6, 1]], 211/119439360], [[[1, 14], [2, 1], [4, 1], [5, 2]], 7/14745600], [[[1, 14], [2, 1], [4, 3], [5, 1]], 17/176947200], [[[1, 14], [2, 3], [3, 1], [4, 3]], 1093/88473600], [[[1, 14], [2, 3], [3, 2], [4, 2]], 94463/1061683200], [[[1, 14], [2, 3], [3, 2], [5, 1]], 218081/1592524800], [[[1, 14], [2, 3], [3, 2], [6, 2]], 853/3822059520], [[[1, 14], [2, 3], [3, 3], [4, 1]], 11041/53084160], [[[1, 14], [2, 3], [3, 3], [6, 1]], 63931/1911029760], [[[1, 14], [2, 3], [4, 2], [5, 1]], 7271/530841600], [[[1, 14], [2, 5], [3, 1], [4, 2]], 10441/35389440], [[[1, 14], [2, 5], [3, 1], [5, 1]], 2197/14745600], [[[1, 14], [2, 5], [3, 1], [6, 2]], 13/17694720], [[[1, 14], [2, 5], [3, 2], [4, 1]], 855611/1528823808], [[[1, 14], [2, 5], [3, 2], [6, 1]], 799007/9555148800], [[[1, 14], [2, 5], [4, 1], [5, 1]], 201959/2123366400], [[[1, 14], [2, 5], [4, 1], [8, 1]], 47/212336640], [[[1, 14], [2, 5], [4, 2], [6, 1]], 893/530841600], [[[1, 14], [2, 5], [5, 1], [6, 1]], 263/49766400], [[[1, 14], [2, 7], [3, 1], [4, 1]], 1537/3538944], [[[1, 14], [2, 7], [3, 1], [6, 1]], 4512907/76441190400], [[[1, 14], [2, 7], [4, 1], [6, 1]], 7399/424673280], [[[1, 15], [2, 2], [3, 1], [4, 3]], 413/530841600], [[[1, 15], [2, 2], [3, 2], [4, 2]], 697/88473600], [[[1, 15], [2, 2], [3, 2], [5, 1]], 18089/530841600], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1/254803968], [[[1, 15], [2, 2], [3, 3], [4, 1]], 1423/39813120], [[[1, 15], [2, 2], [3, 3], [6, 1]], 21893/5733089280], [[[1, 15], [2, 2], [4, 2], [5, 1]], 11/11059200], [[[1, 15], [2, 4], [3, 1], [4, 2]], 225091/3185049600], [[[1, 15], [2, 4], [3, 1], [5, 1]], 102259/1592524800], [[[1, 15], [2, 4], [3, 1], [6, 2]], 1/15925248], [[[1, 15], [2, 4], [3, 2], [4, 1]], 129491/637009920], [[[1, 15], [2, 4], [3, 2], [6, 1]], 32381/1592524800], [[[1, 15], [2, 4], [4, 1], [5, 1]], 14657/530841600], [[[1, 15], [2, 4], [4, 2], [6, 1]], 143/1592524800], [[[1, 15], [2, 4], [5, 1], [6, 1]], 13/14745600], [[[1, 15], [2, 6], [3, 1], [4, 1]], 34363/141557760], [[[1, 15], [2, 6], [3, 1], [6, 1]], 336461/15288238080], [[[1, 15], [2, 6], [4, 1], [6, 1]], 10447/2388787200], [[[1, 15], [3, 1], [4, 2], [5, 1]], 7/132710400], [[[1, 16], [2, 1], [3, 1], [4, 3]], 29/796262400], [[[1, 16], [2, 1], [3, 2], [4, 2]], 757/3185049600], [[[1, 16], [2, 1], [3, 2], [5, 1]], 2237/530841600], [[[1, 16], [2, 1], [3, 3], [4, 1]], 221/95551488], [[[1, 16], [2, 1], [3, 3], [6, 1]], 317/1911029760], [[[1, 16], [2, 1], [4, 2], [5, 1]], 1/35389440], [[[1, 16], [2, 3], [3, 1], [4, 2]], 14347/1592524800], [[[1, 16], [2, 3], [3, 1], [5, 1]], 13633/796262400], [[[1, 16], [2, 3], [3, 1], [6, 2]], 1/477757440], [[[1, 16], [2, 3], [3, 2], [4, 1]], 54437/1274019840], [[[1, 16], [2, 3], [3, 2], [6, 1]], 3397/1194393600], [[[1, 16], [2, 3], [4, 1], [5, 1]], 1637/353894400], [[[1, 16], [2, 3], [5, 1], [6, 1]], 1/13271040], [[[1, 16], [2, 5], [3, 1], [4, 1]], 857387/9555148800], [[[1, 16], [2, 5], [3, 1], [6, 1]], 416497/76441190400], [[[1, 16], [2, 5], [4, 1], [6, 1]], 527/796262400], [[[1, 17], [2, 2], [3, 1], [4, 2]], 23/44236800], [[[1, 17], [2, 2], [3, 1], [5, 1]], 11/4147200], [[[1, 17], [2, 2], [3, 2], [4, 1]], 989/212336640], [[[1, 17], [2, 2], [3, 2], [6, 1]], 109/530841600], [[[1, 17], [2, 2], [4, 1], [5, 1]], 71/176947200], [[[1, 17], [2, 2], [5, 1], [6, 1]], 1/398131200], [[[1, 17], [2, 4], [3, 1], [4, 1]], 22261/1061683200], [[[1, 17], [2, 4], [3, 1], [6, 1]], 5363/6370099200], [[[1, 17], [2, 4], [4, 1], [6, 1]], 7/132710400], [[[1, 18], [2, 1], [3, 1], [4, 2]], 17/1592524800], [[[1, 18], [2, 1], [3, 1], [5, 1]], 19/88473600], [[[1, 18], [2, 1], [3, 2], [4, 1]], 511/2548039680], [[[1, 18], [2, 1], [3, 2], [6, 1]], 11/1911029760], [[[1, 18], [2, 1], [4, 1], [5, 1]], 29/2123366400], [[[1, 18], [2, 3], [3, 1], [4, 1]], 2327/796262400], [[[1, 18], [2, 3], [3, 1], [6, 1]], 5821/76441190400], [[[1, 18], [2, 3], [4, 1], [6, 1]], 1/597196800], [[[1, 19], [2, 2], [3, 1], [4, 1]], 463/2123366400], [[[1, 19], [2, 2], [3, 1], [6, 1]], 137/38220595200], [[[1, 20], [2, 1], [3, 1], [4, 1]], 7/1061683200], [[[1, 20], [2, 1], [3, 1], [6, 1]], 1/15288238080], [[[2, 3], [4, 3], [8, 1], [12, 3]], 1/6912], [[[2, 3], [4, 5], [8, 1], [12, 2]], 1/6144], [[[2, 3], [4, 5], [8, 1], [20, 1]], 1/15360], [[[2, 3], [4, 7], [8, 1], [12, 1]], 1/46080], [[[2, 5], [4, 4], [12, 1], [20, 1]], 1/7680], [[[2, 9], [4, 2], [6, 2], [10, 2]], 1/230400], [[[2, 9], [4, 2], [6, 4], [10, 1]], 1/414720], [[[2, 11], [4, 2], [6, 1], [10, 2]], 1/921600], [[[2, 11], [4, 2], [6, 3], [10, 1]], 1/331776], [[[2, 13], [4, 2], [6, 2], [10, 1]], 31/44236800], [[[2, 15], [4, 2], [6, 1], [10, 1]], 7/132710400], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 3]], 1/2304], [[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/2048], [[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 1/5120], [[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 1/15360], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 3]], 1/10368], [[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/9216], [[[1, 1], [2, 4], [3, 1], [4, 5], [20, 1]], 1/23040], [[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 1/69120], [[[1, 1], [2, 4], [4, 2], [8, 2], [12, 2]], 1/9216], [[[1, 1], [2, 4], [4, 2], [8, 2], [20, 1]], 1/2560], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 3]], 1/10368], [[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 5/9216], [[[1, 1], [2, 4], [4, 4], [8, 1], [20, 1]], 1/2560], [[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 1/2304], [[[1, 1], [2, 4], [4, 4], [12, 1], [20, 1]], 1/1536], [[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 1/9216], [[[1, 1], [2, 4], [4, 5], [6, 1], [20, 1]], 1/23040], [[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 1/4608], [[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 1/69120], [[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 1/36864], [[[1, 1], [2, 6], [4, 3], [8, 1], [20, 1]], 1/10240], [[[1, 1], [2, 6], [4, 3], [12, 1], [20, 1]], 1/23040], [[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 1/9216], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/497664], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/76800], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/138240], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/153600], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/276480], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 5/1990656], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 1/51840], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1/23040], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 1/41472], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 1/102400], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 11/552960], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 7/737280], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 31/53084160], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 1/184320], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 17/1843200], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 29/663552], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 131/14745600], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 7/3686400], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 7/159252480], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 1/2211840], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 89/8847360], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 23/22118400], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/1274019840], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/106168320], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 97/132710400], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 3]], 1/2304], [[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/2048], [[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 1/5120], [[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 1/15360], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 3]], 1/3456], [[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 5], [20, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 1/23040], [[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 1/3072], [[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 3/2560], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 3]], 1/3456], [[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 5/3072], [[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 3/2560], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 1/768], [[[1, 2], [2, 3], [4, 4], [12, 1], [20, 1]], 1/768], [[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 1/3072], [[[1, 2], [2, 3], [4, 5], [6, 1], [20, 1]], 1/7680], [[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 1/1536], [[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 1/23040], [[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 5/13824], [[[1, 2], [2, 5], [3, 1], [4, 4], [20, 1]], 1/3840], [[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 1/34560], [[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 1/55296], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1/36864], [[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 7/36864], [[[1, 2], [2, 5], [4, 3], [8, 1], [20, 1]], 7/10240], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 1/1536], [[[1, 2], [2, 5], [4, 3], [12, 1], [20, 1]], 1/2560], [[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 5/13824], [[[1, 2], [2, 5], [4, 4], [6, 1], [20, 1]], 1/3840], [[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 5/4608], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 77/1105920], [[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 1/6912], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 1/165888], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 1/331776], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 1/221184], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 7/110592], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 1/3317760], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 7/1769472], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 1/921600], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1/76800], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/138240], [[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 1/110592], [[[1, 2], [2, 7], [4, 2], [8, 1], [20, 1]], 1/30720], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 1/36864], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/51200], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/92160], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1/122880], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 17/147456], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/737280], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 1/40960], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 11/55296], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 5/248832], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 11/663552], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 7/884736], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 1/221184], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 1/86400], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 1/15552], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 11/442368], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 1/13271040], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1/7680], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 1/13824], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 11/153600], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 19/276480], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 1/3686400], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 7/147456], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 7/294912], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 7/737280], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 145/3981312], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 131/17694720], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 7/4423680], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 1/8847360], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 1/345600], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 301/4976640], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/1474560], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 53/614400], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 277/1105920], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 1/1474560], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 449/3686400], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 19/921600], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 89/10616832], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 23/26542080], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 17/212336640], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 317/33177600], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 359/2949120], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 1009/44236800], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 97/159252480], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 1/42467328], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 629/1592524800], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 157/11059200], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 29/2548039680], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 3]], 1/3456], [[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 1/3072], [[[1, 3], [2, 2], [3, 1], [4, 5], [20, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 1/23040], [[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 1/3072], [[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 3/2560], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 3]], 1/3456], [[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 5/3072], [[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 3/2560], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 1/768], [[[1, 3], [2, 2], [4, 4], [12, 1], [20, 1]], 1/768], [[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 1/3072], [[[1, 3], [2, 2], [4, 5], [6, 1], [20, 1]], 1/7680], [[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 1/1536], [[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 1/23040], [[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 5/4608], [[[1, 3], [2, 4], [3, 1], [4, 4], [20, 1]], 1/1280], [[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 1/2304], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 1/36864], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 1/55296], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/73728], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 1/41472], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 1/18432], [[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 1/2304], [[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 1/640], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 1/5120], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 1/512], [[[1, 3], [2, 4], [4, 3], [12, 1], [20, 1]], 11/11520], [[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 5/4608], [[[1, 3], [2, 4], [4, 4], [6, 1], [20, 1]], 1/1280], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 1/20480], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 25/9216], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 47/368640], [[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 1/2304], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/165888], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 7/331776], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 1/6144], [[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 1/27648], [[[1, 3], [2, 6], [3, 1], [4, 3], [20, 1]], 1/7680], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 13/884736], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 1/18432], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 11/49152], [[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 5/13824], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/31104], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 31/331776], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 1/207360], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 125/663552], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 191/5308416], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 1/147456], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 1/184320], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/20736], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/10368], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 5/124416], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 5/663552], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 1/884736], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 1/57600], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 7/221184], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 1/230400], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/414720], [[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 1/12288], [[[1, 3], [2, 6], [4, 2], [8, 1], [20, 1]], 3/10240], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 7/61440], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 11/36864], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/51200], [[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 3], [2, 6], [4, 3], [6, 1], [20, 1]], 1/7680], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 1/55296], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/92160], [[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/184320], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 1/40960], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 47/614400], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 11/73728], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/245760], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 3/20480], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 25/18432], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 95/147456], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 5/13824], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 23/373248], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 19/331776], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 1/1105920], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 65/294912], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 31/884736], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 23/1179648], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 1/28800], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 1/12960], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 25/165888], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1/3317760], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 205/1327104], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 185/2654208], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 1/663552], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 1/663552], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 1/20736], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 1/51840], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 1/18432], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 7/995328], [[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 1/4976640], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 1/921600], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 1/7680], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 1/13824], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 7/221184], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 77/460800], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 97/829440], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 1/184320], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 1/15360], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 265/884736], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 7/73728], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 3/81920], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 1/18432], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 1/184320], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 59/294912], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 1/24576], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 2575/11943936], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 1/460800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 449/4423680], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 157/2211840], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 11/8847360], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 103/35389440], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 1/38400], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 337/1658880], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 173/4423680], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 157/13271040], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/9953280], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 1/3317760], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 1/829440], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 1/207360], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 19/13271040], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 31/159252480], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 49/204800], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 563/1105920], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 1/2764800], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 19/1474560], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 5249/11059200], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 469/8847360], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 521/3686400], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 51697/477757440], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 1009/53084160], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 581/212336640], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 391/5529600], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 23/19906560], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 1/3317760], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 1/983040], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 25/49152], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 3221/16588800], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 3163/238878720], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 17/66355200], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 11/13271040], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 2867/530841600], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 4627/44236800], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 4123/9555148800], [[[1, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/1920], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 3]], 1/10368], [[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 1/9216], [[[1, 4], [2, 1], [3, 1], [4, 5], [20, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 1/69120], [[[1, 4], [2, 1], [4, 2], [8, 2], [12, 2]], 1/9216], [[[1, 4], [2, 1], [4, 2], [8, 2], [20, 1]], 1/2560], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 3]], 1/10368], [[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 5/9216], [[[1, 4], [2, 1], [4, 4], [8, 1], [20, 1]], 1/2560], [[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 1/2304], [[[1, 4], [2, 1], [4, 4], [12, 1], [20, 1]], 1/1536], [[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/9216], [[[1, 4], [2, 1], [4, 5], [6, 1], [20, 1]], 1/23040], [[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 1/4608], [[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 1/69120], [[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 5/4608], [[[1, 4], [2, 3], [3, 1], [4, 4], [20, 1]], 1/1280], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 47/368640], [[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/73728], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 1/41472], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 1/55296], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 1/5120], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 1/36864], [[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 1/2304], [[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 1/640], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 1/512], [[[1, 4], [2, 3], [4, 3], [12, 1], [20, 1]], 11/11520], [[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 5/4608], [[[1, 4], [2, 3], [4, 4], [6, 1], [20, 1]], 1/1280], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 1/20480], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 25/9216], [[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 1/11520], [[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/497664], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 7/331776], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 7/12288], [[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 1/9216], [[[1, 4], [2, 5], [3, 1], [4, 3], [20, 1]], 1/2560], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 5/294912], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 1/18432], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 103/147456], [[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 5/4608], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 11/221184], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/31104], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 5/110592], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 5/110592], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 509/1990656], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/737280], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 109/442368], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1/24576], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 1/61440], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/20736], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 19/93312], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 1/2592], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 149/1990656], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 1/55296], [[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 1/69120], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 7/884736], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 5/31104], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 5/46656], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 5/331776], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 1/331776], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1/6144], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 1/13824], [[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 11/55296], [[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 11/15360], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 1/3840], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 1/69120], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 25/36864], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/153600], [[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 1/9216], [[[1, 4], [2, 5], [4, 3], [6, 1], [20, 1]], 1/2560], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/27648], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/276480], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 1/61440], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 3/20480], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 51/102400], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 5/73728], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 1/245760], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 1/4096], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 85/27648], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 55/49152], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 5/4608], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 1/15552], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 35/221184], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 589/3317760], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 1/153600], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 53/147456], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 911/1327104], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 15/32768], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 1/20480], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 1/6912], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 131/1179648], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 1/28800], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1/25920], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 205/497664], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 1/207360], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 289/331776], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 1109/2654208], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 49/2654208], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 1/55296], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 49/884736], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 1/5184], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 1/5760], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 155/497664], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 223/1327104], [[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 1/311040], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 167/7962624], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 1/62208], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 1/8640], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 7/373248], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 1/1990656], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 1/57600], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1/221184], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 1/23040], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 1/41472], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 1/61440], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/153600], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 73/221184], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 47/307200], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 7/331776], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 17/184320], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/30720], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 49/737280], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 17/30720], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 125/221184], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 7/73728], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 7/20480], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 1/2048], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 1/30720], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 247/147456], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 1/10240], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 1/6912], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 1823/3981312], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 1/1105920], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 1/51200], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 30127/39813120], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 1/2764800], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 2189/4423680], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 611/26542080], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 3521/21233664], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 1/14400], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 173/552960], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 4369/13271040], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1/8847360], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 1751/6635520], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 59/19906560], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 1/81920], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 1/51840], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 1/17280], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 1271/39813120], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 1/4976640], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 19/5898240], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/2488320], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 31/59719680], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 1/221184], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 551/1843200], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 1543/3317760], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 47/5529600], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 13/81920], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 107/442368], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 1153/1474560], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 1/73728], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 49/1843200], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 4403/8847360], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 21/51200], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 6361/13271040], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 5039/19906560], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 13/6635520], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 31/11059200], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 8393/212336640], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 1/1105920], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 1321/5529600], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 997/39813120], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 1/39813120], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 181/53084160], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 1/221184], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 109/477757440], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 1/11059200], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 59/2949120], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 2227/2211840], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 169/4423680], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 551/819200], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 1/73728], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 17081/159252480], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 1/230400], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 6571/424673280], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 18337/530841600], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 17/79626240], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 6317/16588800], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 37771/6370099200], [[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 5/13824], [[[1, 5], [2, 2], [3, 1], [4, 4], [20, 1]], 1/3840], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 77/1105920], [[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 1/6912], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1/36864], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 1/55296], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 1/10240], [[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 7/36864], [[[1, 5], [2, 2], [4, 3], [8, 1], [20, 1]], 7/10240], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 1/1536], [[[1, 5], [2, 2], [4, 3], [12, 1], [20, 1]], 1/2560], [[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 5/13824], [[[1, 5], [2, 2], [4, 4], [6, 1], [20, 1]], 1/3840], [[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 5/4608], [[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 1/34560], [[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 1/6912], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/153600], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 1/331776], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 25/36864], [[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 1/9216], [[[1, 5], [2, 4], [3, 1], [4, 3], [20, 1]], 1/2560], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 7/884736], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 55/49152], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 5/4608], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 11/221184], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 5/331776], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 1/13824], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 149/1990656], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 1/245760], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 109/442368], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 5/73728], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 1/61440], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 1/18432], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 5/46656], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 1/2592], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/276480], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 509/1990656], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/27648], [[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 1/69120], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 5/294912], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 5/31104], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 19/93312], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 5/110592], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 7/331776], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/20736], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/31104], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/497664], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 1/3840], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 5/110592], [[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 11/55296], [[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 11/15360], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1/6144], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 1/69120], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 7/12288], [[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 1/9216], [[[1, 5], [2, 4], [4, 3], [6, 1], [20, 1]], 1/2560], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 1/55296], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 1/61440], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 1/4096], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 51/102400], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1/24576], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/737280], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 3/20480], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 85/27648], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 103/147456], [[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 5/4608], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 1/41472], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 1/6144], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1043/1658880], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 1/51200], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 103/442368], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 11/245760], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 137/165888], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 515/294912], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 11/92160], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 1/2304], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 1121/1769472], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1/25920], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 1/86400], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/155520], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 181/497664], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 1/55296], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 1345/995328], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 7/737280], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 2293/1327104], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 151/829440], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 29/276480], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 11/49152], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 1/25920], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/5184], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1/5760], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 23/27648], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 341/442368], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 5/165888], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 1/23040], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 851/7962624], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1/51840], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 1/15552], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 1/6480], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 181/1492992], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 1/20736], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/25920], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/746496], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 1/15360], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1/55296], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1/15360], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 1/23040], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 1/51200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 83/110592], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 1/20480], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 1/20736], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 1/36864], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 11/92160], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 91/230400], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 163/115200], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 127/294912], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 7/147456], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 157/245760], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 11/9216], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 1/10240], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 137/49152], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 41/368640], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 1/2304], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1/1843200], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 223/442368], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 49/3317760], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 1/19200], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 7907/5308416], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 1/172800], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 1627/737280], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 11647/26542080], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 61/368640], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 102011/106168320], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 1/23040], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 7/86400], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 1/82944], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 1213/4976640], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 3551/2654208], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 1/589824], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 4651/3317760], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 67/2211840], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 1/55296], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 1771/4423680], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 11/207360], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 5/41472], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 1/4608], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 1/3317760], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 13669/39813120], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/311040], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 9/163840], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1/1658880], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 1/155520], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 1/207360], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 511/59719680], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 1/153600], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 7/221184], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 343/1843200], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 1/331776], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 631/3317760], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 17/276480], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 407/5529600], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 15/16384], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 271/442368], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 883/1474560], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 89/368640], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 71/460800], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 1991/983040], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 163/245760], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 1/3840], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 48533/39813120], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 31/14745600], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 6853/5308416], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 47/1244160], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 53/1843200], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 101453/212336640], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 47/5529600], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 19/1105920], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 1/82944], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 1171/2764800], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1/8847360], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 425/1327104], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1/663552], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 1811/26542080], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 47/33177600], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 1/829440], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 1/40960], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 581/95551488], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 1/307200], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 337/2211840], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 17/294912], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 937/884736], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 1/737280], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 317/11059200], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 589/1474560], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 857/737280], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 17/122880], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 151/327680], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 19/26542080], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 77/2764800], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 57341/424673280], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 109/530841600], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 1/3317760], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 93331/796262400], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 1129/159252480], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 79/8847360], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 17093/22118400], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 58513/1415577600], [[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 1/36864], [[[1, 6], [2, 1], [4, 3], [8, 1], [20, 1]], 1/10240], [[[1, 6], [2, 1], [4, 3], [12, 1], [20, 1]], 1/23040], [[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 1/9216], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/51200], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 11/36864], [[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 1/27648], [[[1, 6], [2, 3], [3, 1], [4, 3], [20, 1]], 1/7680], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 1/884736], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 95/147456], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 5/13824], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 1/230400], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 7/221184], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 5/663552], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/245760], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 191/5308416], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 11/73728], [[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/184320], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 1/18432], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 5/124416], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/92160], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 125/663552], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 1/55296], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 13/884736], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/10368], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/414720], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 31/331776], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 7/331776], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/20736], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/31104], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/165888], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 7/61440], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 1/207360], [[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 1/12288], [[[1, 6], [2, 3], [4, 2], [8, 1], [20, 1]], 3/10240], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 1/57600], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 1/6144], [[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 1/27648], [[[1, 6], [2, 3], [4, 3], [6, 1], [20, 1]], 1/7680], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 1/184320], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 3/20480], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 47/614400], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 1/147456], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 1/40960], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 25/18432], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 11/49152], [[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 5/13824], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/746496], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 1/20480], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 1/20736], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 83/110592], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 1/51200], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 851/7962624], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 41/368640], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 11/49152], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 137/49152], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 1/10240], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 1/2304], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 1121/1769472], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/25920], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 181/1492992], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1/55296], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 341/442368], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 7/147456], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 2293/1327104], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 127/294912], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 11/92160], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 137/165888], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 1/6480], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 1/86400], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 1/15552], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1/51840], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 23/27648], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 1/36864], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 1345/995328], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 1/20736], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 1/23040], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 103/442368], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1/5760], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/5184], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 1/25920], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 181/497664], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 1/6144], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/155520], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1/25920], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 1/41472], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1/15360], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 1/55296], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 1/15360], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 1/23040], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 1/51200], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1043/1658880], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 5/165888], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 29/276480], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 157/245760], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 163/115200], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 151/829440], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 7/737280], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 91/230400], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 11/9216], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 11/92160], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 515/294912], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 11/245760], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 1/2304], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 1/122880], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 3565/11943936], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 49/829440], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 7/115200], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 713/589824], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 31/147456], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 2753/884736], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 52561/26542080], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 25/55296], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 91541/35389440], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 13/69120], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 1/115200], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 1/23040], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 5/165888], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 17/184320], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 47705/23887872], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 11/737280], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 311/82944], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 257/1105920], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 19/92160], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 2281/1327104], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 5/20736], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 1/34560], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 53/165888], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 73/207360], [[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 1/138240], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 1/221184], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 30149/23887872], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 1/82944], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 7/207360], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 17249/39813120], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 23/1658880], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 1/41472], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 31/207360], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 323/3981312], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 7/207360], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 1/30720], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 1/13824], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 7/122880], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 1/82944], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 7/221184], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 23/92160], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1021/2764800], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 3599/1843200], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 191/331776], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 47/245760], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 49/92160], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 229/552960], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 83447/26542080], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 107/184320], [[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 7/34560], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 429401/238878720], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 739/22118400], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 45559/13271040], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 12331/39813120], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 901/3686400], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 242041/106168320], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 457/5529600], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 41/368640], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 11/165888], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 247/552960], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 29/8847360], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 15109/9953280], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 773/39813120], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 1/165888], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 39809/53084160], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 797/33177600], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 1/46080], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 343/3317760], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 8917/119439360], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 11/276480], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 127/3686400], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 1333/2211840], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 131/663552], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 2701/4423680], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 1/20480], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 377/1843200], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 1715/1327104], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 347/294912], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 449/1105920], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 217/132710400], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 306301/238878720], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 1187/79626240], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 727/8294400], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 25607/35389440], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 2263/530841600], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 7/1327104], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 1351/5898240], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 21023/238878720], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 227/22118400], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 2723/26542080], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 259/276480], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 6610837/38220595200], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/51200], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 1/36864], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1/76800], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/737280], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 7/1769472], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 17/147456], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/92160], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 1/221184], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/138240], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 7/110592], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 1/331776], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 1/165888], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 1/3317760], [[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 1/110592], [[[1, 7], [2, 2], [4, 2], [8, 1], [20, 1]], 1/30720], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 1/921600], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 1/40960], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1/122880], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 11/55296], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 47/307200], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 1/1990656], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 73/221184], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/153600], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 167/7962624], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 1/10240], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 49/884736], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 247/147456], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 1/30720], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 1/6912], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 131/1179648], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 1/23040], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 7/373248], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1/221184], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 223/1327104], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 7/73728], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 1109/2654208], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 125/221184], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/30720], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 911/1327104], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 1/8640], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 1/28800], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 1/62208], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 155/497664], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 17/184320], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 289/331776], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 7/331776], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 53/147456], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 1/5760], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 1/5184], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 1/41472], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 205/497664], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 35/221184], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1/25920], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 1/15552], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 1/61440], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 1/207360], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 1/57600], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 1/153600], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 589/3317760], [[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 1/311040], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 1/55296], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 7/20480], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 17/30720], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 49/2654208], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 49/737280], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 1/2048], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 1/20480], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 15/32768], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 1/6912], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 7/122880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 323/3981312], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 1/13824], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 1/30720], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 17249/39813120], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 107/184320], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 2281/1327104], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 83447/26542080], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 229/552960], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 91541/35389440], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 31/207360], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 1/23040], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 1/115200], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 1/41472], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 23/1658880], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 30149/23887872], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 47/245760], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 311/82944], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 191/331776], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 23/92160], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 2753/884736], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 73/207360], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 7/34560], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 53/165888], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 5/20736], [[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 1/138240], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 7/221184], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 47705/23887872], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 1/82944], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 7/207360], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 713/589824], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 17/184320], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 5/165888], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 13/69120], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 3565/11943936], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 7/207360], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 7/115200], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 49/829440], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 1/122880], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 1/82944], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 1/221184], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 19/92160], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 49/92160], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 3599/1843200], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 257/1105920], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 11/737280], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1021/2764800], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 25/55296], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 52561/26542080], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 31/147456], [[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 1/138240], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 1/34560], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 7277/5308416], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 823/2949120], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 120797/26542080], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 83807/66355200], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 191/307200], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 173531/35389440], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 833/3317760], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 209/614400], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 5/41472], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 37/122880], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 1/46080], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 73/2211840], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 127687/39813120], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 13/138240], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 113/829440], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 18973/6635520], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 409/3317760], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 1/11520], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 863/3317760], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 57523/119439360], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 47/276480], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 91/691200], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 9433/7372800], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 191/884736], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 47/245760], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 109/737280], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 427/737280], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 31853/16588800], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 281/368640], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 2911/5529600], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 913/33177600], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 31427/13271040], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 2849/26542080], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 143/737280], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 7707503/3185049600], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 20483/530841600], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 209/6635520], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 25369/88473600], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 259747/477757440], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 259/2764800], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 3041/8847360], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 3209/4423680], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 130231/254803968], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/153600], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/76800], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/276480], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/138240], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/497664], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 77/460800], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 7/221184], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 1/24576], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 1/663552], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 59/294912], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 1/184320], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 23/1179648], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 1/7680], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 7/995328], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 7/73728], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 185/2654208], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 265/884736], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 31/884736], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 1/28800], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 1/18432], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 97/829440], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 205/1327104], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 65/294912], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 1/51840], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 1/20736], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 1/13824], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 25/165888], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 19/331776], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 1/12960], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 23/373248], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1/3317760], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 1/921600], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 1/1105920], [[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 1/4976640], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 3/81920], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 1/15360], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 1/663552], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 1/184320], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 1/18432], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 343/1843200], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 511/59719680], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 7/221184], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 1/153600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 9/163840], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 163/245760], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 1771/4423680], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 1991/983040], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 71/460800], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 102011/106168320], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 1/207360], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 7/86400], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 1/155520], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1/1658880], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 13669/39813120], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 883/1474560], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 4651/3317760], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 271/442368], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 17/276480], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 1627/737280], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 1/4608], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 1/3840], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 5/41472], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 11/207360], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 631/3317760], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 3551/2654208], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 1/331776], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 7907/5308416], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 1213/4976640], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 1/82944], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 1/23040], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 223/442368], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 1/19200], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 49/3317760], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1/1843200], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/311040], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 1/3317760], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 1/55296], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 89/368640], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 15/16384], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 67/2211840], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 1/589824], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 407/5529600], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 61/368640], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 11647/26542080], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 1/172800], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 57523/119439360], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 281/368640], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 18973/6635520], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 31853/16588800], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 427/737280], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 173531/35389440], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 863/3317760], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 2911/5529600], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 1/11520], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 409/3317760], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 1/34560], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 47/245760], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 127687/39813120], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 191/884736], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 47/276480], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 120797/26542080], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 37/122880], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 5/41472], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 833/3317760], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 7277/5308416], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 113/829440], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 109/737280], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 9433/7372800], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 13/138240], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 73/2211840], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 91/691200], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 191/307200], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 83807/66355200], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 823/2949120], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 209/614400], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 151/983040], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 1067851/398131200], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 135497/398131200], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 349/1036800], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 9580001/2123366400], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 75449/530841600], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 1261/16588800], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 13429/53084160], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 336953/199065600], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 481/1658880], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 65989/132710400], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 2209/5529600], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 5531491/4777574400], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 11/153600], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 7/737280], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 7/294912], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1/7680], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 7/147456], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 1/221184], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 1/86400], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 19/276480], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 11/442368], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 7/884736], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 1/13824], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 11/663552], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 1/15552], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 5/248832], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 1/13271040], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 1/3686400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 551/1843200], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 31/59719680], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 1/221184], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 19/5898240], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 21/51200], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 1/81920], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 4403/8847360], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 49/1843200], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 3521/21233664], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 1/14400], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/2488320], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 1271/39813120], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 1153/1474560], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 1751/6635520], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 107/442368], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 2189/4423680], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 1/17280], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 1/11520], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 1/51840], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 1543/3317760], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 4369/13271040], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 30127/39813120], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 173/552960], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 1823/3981312], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 1/51200], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 1/1105920], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 1/4976640], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 1/73728], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 13/81920], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 59/19906560], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1/8847360], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 47/5529600], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 611/26542080], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 1/2764800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 8917/119439360], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 347/294912], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 39809/53084160], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 1715/1327104], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 377/1843200], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 242041/106168320], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 343/3317760], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 449/1105920], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 1/46080], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 797/33177600], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1/138240], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 2701/4423680], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 15109/9953280], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 131/663552], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 11/276480], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 45559/13271040], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 247/552960], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 11/165888], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 457/5529600], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 429401/238878720], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 1/165888], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 1/20480], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 1333/2211840], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 773/39813120], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 29/8847360], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 127/3686400], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 901/3686400], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 12331/39813120], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 739/22118400], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 41/368640], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 2209/5529600], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 336953/199065600], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 65989/132710400], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 481/1658880], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 9580001/2123366400], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 13429/53084160], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 1261/16588800], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 75449/530841600], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 1067851/398131200], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 349/1036800], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 135497/398131200], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 151/983040], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 70317677/38220595200], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 1/102400], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1/23040], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 7/737280], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 11/552960], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 1/41472], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 5/1990656], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 1/51840], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 49/204800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 31/159252480], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 521/3686400], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 1/3317760], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 469/8847360], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 103/35389440], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 1/38400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 19/13271040], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 5249/11059200], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 157/13271040], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 157/2211840], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 1/207360], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 1/829440], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 563/1105920], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 173/4423680], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 449/4423680], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 337/1658880], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 2575/11943936], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 1/460800], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 19/1474560], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/9953280], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 1/2764800], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 11/8847360], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 581/95551488], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 857/737280], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 1811/26542080], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 589/1474560], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 317/11059200], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 101453/212336640], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 1/40960], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 17/122880], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 1/829440], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 47/33177600], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 937/884736], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 425/1327104], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 17/294912], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 6853/5308416], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 1171/2764800], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 1/82944], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 47/5529600], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 48533/39813120], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 1/737280], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 337/2211840], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1/663552], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1/8847360], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 1/307200], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 53/1843200], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 47/1244160], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 31/14745600], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 19/1105920], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 3209/4423680], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 259747/477757440], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 3041/8847360], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 259/2764800], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 7707503/3185049600], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 25369/88473600], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 209/6635520], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 20483/530841600], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 31427/13271040], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 143/737280], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 2849/26542080], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 913/33177600], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 70317677/38220595200], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 53/614400], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 19/921600], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 1/8847360], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 1/345600], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 449/3686400], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/1474560], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 7/4423680], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 277/1105920], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 131/17694720], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 301/4976640], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 145/3981312], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 1/1474560], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 109/477757440], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 551/819200], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 181/53084160], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 169/4423680], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 8393/212336640], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 1/221184], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 1/73728], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 2227/2211840], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 997/39813120], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 5039/19906560], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 1321/5529600], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 6361/13271040], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 59/2949120], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 1/39813120], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 31/11059200], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 13/6635520], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 259/276480], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 21023/238878720], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 2723/26542080], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 227/22118400], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 25607/35389440], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 1351/5898240], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 7/1327104], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 2263/530841600], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 306301/238878720], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 727/8294400], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 1187/79626240], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 217/132710400], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 5531491/4777574400], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 17/1843200], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 7/3686400], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 131/14745600], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 29/663552], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 31/53084160], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 1/184320], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 3221/16588800], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 581/212336640], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 1/3317760], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 25/49152], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 23/19906560], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 1009/53084160], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 391/5529600], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 51697/477757440], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 1/983040], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 17093/22118400], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 1129/159252480], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 79/8847360], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 57341/424673280], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 93331/796262400], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 1/3317760], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 109/530841600], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 151/327680], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 77/2764800], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 19/26542080], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 130231/254803968], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 1009/44236800], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 17/212336640], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 359/2949120], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 23/26542080], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 317/33177600], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 89/10616832], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 6317/16588800], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 17/79626240], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 6571/424673280], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 18337/530841600], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 17081/159252480], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 1/230400], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 6610837/38220595200], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 23/22118400], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 89/8847360], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 7/159252480], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 1/2211840], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 4627/44236800], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 11/13271040], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 2867/530841600], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 3163/238878720], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 17/66355200], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 58513/1415577600], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 157/11059200], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 1/42467328], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 629/1592524800], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 97/159252480], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 37771/6370099200], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 97/132710400], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/1274019840], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/106168320], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 4123/9555148800], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 29/2548039680], [[[2, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 1/1920], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [20, 1]], 1/640], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/27648], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [20, 1]], 1/2880], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/18432], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [20, 1]], 1/2880], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 1/27648], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/9216], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/6912], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 1/49152], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 1/1105920], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 1/110592], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 5/221184], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1/552960], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1/4423680], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/1769472], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/8847360], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 1/640], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/27648], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [20, 1]], 1/960], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 1/18432], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 1/24576], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 5/41472], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [10, 1]], 1/23040], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 2]], 1/23040], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 1/6400], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [20, 1]], 1/960], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/41472], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [12, 2]], 1/13824], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [20, 1]], 1/3840], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 5/9216], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 5/110592], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 61/110592], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 17/147456], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/20736], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/82944], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 1/41472], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 1/5184], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 5/165888], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 5/110592], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/23040], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [20, 1]], 1/3840], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/25600], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 1/3456], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 1/69120], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 1/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/46080], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/4608], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 1/13824], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/92160], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 41/221184], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 1/49152], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 1/61440], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 31/221184], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 1/20736], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 1/41472], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 1/23040], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 5/165888], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 1/331776], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 1/1105920], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1/13824], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 7/552960], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 1/61440], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 5/147456], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 1/221184], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/737280], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 19/1769472], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 1/829440], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1/1658880], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/1327104], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 1/36864], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 17/1105920], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 1/3317760], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 1/589824], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1179648], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 7/8847360], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [20, 1]], 1/960], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 1/24576], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 5/41472], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [10, 1]], 1/23040], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 1/18432], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 1/27648], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 2]], 1/23040], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 1/6400], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [20, 1]], 1/960], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/41472], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 1/4608], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 1/1280], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/4096], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 5/4608], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 5/110592], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 25/36864], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1/18432], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 37/73728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 5/41472], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1152], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 13/124416], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/5184], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 25/165888], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 11/13824], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/18432], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 19/110592], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 5/31104], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 5/62208], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 1/34560], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 1/23040], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 1/6400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/5760], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1280], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/18432], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 1/5120], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1/15360], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 1/1152], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6912], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/41472], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 19/110592], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 1/3072], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 13/55296], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/46080], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 5/13824], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/92160], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 5/12288], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 7/92160], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 11/9216], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/10240], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 1/2304], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/245760], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 7/49152], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 13/245760], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 7/8192], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 1/82944], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1/4608], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/8640], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/5184], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 7/27648], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 1/7680], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 41/165888], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 1/69120], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 13/165888], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1/23040], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 67/221184], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 1/62208], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/8640], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 1/124416], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/23040], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/23040], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 19/30720], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 1/69120], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/57600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/36864], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 47/207360], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/13824], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 7/276480], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1382400], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 17/92160], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 11/92160], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 133/442368], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 31/294912], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 73/737280], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 59/294912], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 1/23040], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1/17280], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 5/165888], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 23/1658880], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 19/1327104], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/2488320], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 1/3840], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 7/460800], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 41/184320], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/1105920], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1/276480], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 187/1105920], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 5/442368], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 31/44236800], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 53/6635520], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 13/737280], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 59/3538944], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 1/1658880], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/1327104], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 1/24576], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/13271040], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 779/44236800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/3538944], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 1/2880], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/18432], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/27648], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/20736], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 1/4608], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 1/1280], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/4096], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 5/4608], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 19/110592], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 37/73728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 5/41472], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 1/23040], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6912], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1152], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 5/62208], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 25/165888], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 11/13824], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/18432], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 25/36864], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 1/27648], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 5/31104], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 13/124416], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 1/5184], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 5/110592], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/20736], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/41472], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/23040], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/6400], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1280], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/18432], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/5120], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 1/1152], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 1/25920], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6912], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/41472], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 1/7680], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/23040], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 311/663552], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 11/13824], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 5/18432], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/138240], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 7/41472], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 1/69120], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 59/460800], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 89/165888], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 7/92160], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 37/18432], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 7/23040], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 1/768], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 7/245760], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1/1024], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 1/16384], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 211/110592], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/25920], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/20736], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 37/124416], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/5184], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1/23040], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 11/13824], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/7680], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 11/9216], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 29/138240], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/92160], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 89/331776], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 283/221184], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/6912], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1/6480], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 5/62208], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/23040], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/41472], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 1/25920], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/5760], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 11/46080], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 17/38400], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 13/46080], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 113/153600], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/768], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/17280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 5/55296], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1/19200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 67/331776], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 17/69120], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/4608], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 11/92160], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 1/86400], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 19/184320], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 341/331776], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 23/46080], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 1277/1327104], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 11/92160], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 167/2211840], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 10513/13271040], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 137/368640], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 341/294912], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 1/17280], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 7/103680], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 19/55296], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 1/3840], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 41/165888], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/276480], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/276480], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 17/103680], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 1/3840], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 41/147456], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1/69120], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/51840], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/30720], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2304], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 41/230400], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 3/2560], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 7/92160], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 43/1382400], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 1/1382400], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 19/1105920], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 103/829440], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 581/1105920], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 17/147456], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 19/1638400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 1033/6635520], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 169/737280], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 373/2654208], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/691200], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1/27648], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 31/16588800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 1/82944], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1/276480], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 19/1327104], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1/230400], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 133/368640], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 109/132710400], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 5/1327104], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 1403/11059200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 7/1179648], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/82944], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 1/3456], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 1/13824], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 1/3840], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 5/9216], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 5/110592], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 1/3456], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 17/147456], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6912], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 5/165888], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 61/110592], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 1/27648], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 1/41472], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/5184], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 5/110592], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/6912], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/20736], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/41472], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/13824], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [20, 1]], 1/3840], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/92160], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/25600], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 1/25920], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 1/20736], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/23040], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 311/663552], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 11/13824], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 5/62208], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/41472], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/17280], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 1/7680], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 113/153600], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 89/331776], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/92160], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 283/221184], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 13/46080], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 1/768], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/16384], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 1/1024], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 7/245760], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 211/110592], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/6480], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/7680], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 11/13824], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1/23040], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 11/9216], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 11/46080], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 7/92160], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 89/165888], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/69120], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 37/18432], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/8640], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 37/124416], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/25920], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 1/5184], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/138240], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 5/18432], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/23040], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 7/41472], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/41472], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 1/25920], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/34560], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 29/138240], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 17/38400], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 7/23040], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 59/460800], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/15360], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 1/768], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/4320], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 149/663552], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/19200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 85/331776], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 7/69120], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 7/41472], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 31/92160], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/9216], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 839/921600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 49/36864], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 7/12288], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 2111/1327104], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 77/138240], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 743/2211840], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 7801/2654208], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 197/368640], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1063/442368], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 1/4320], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/2700], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 31/103680], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 1/34560], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 5/5184], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 1/2304], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 13/27648], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/6144], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 11/61440], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 23/36864], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 139/276480], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 19/16384], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1/7200], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/103680], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 95/995328], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/5184], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 1/41472], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 53/276480], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 7/34560], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 7/25600], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 83/138240], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 137/76800], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 283/1382400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/86400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 5/24576], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 19/27648], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 1031/1105920], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 449/1327104], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1/46080], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 81/409600], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 1483/1327104], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 1223/1474560], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 1609/2654208], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1/43200], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 217/691200], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 541/16588800], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 89/829440], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 3/10240], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 41/442368], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 17/172800], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1133/1105920], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 1981/132710400], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 337/4423680], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 4753/11059200], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 7/165888], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/9216], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 1/49152], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/27648], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/6912], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/82944], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 19/110592], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1/3072], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/124416], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1/23040], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/15360], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 19/30720], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 13/165888], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 67/221184], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1/2304], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 13/245760], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 7/49152], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/245760], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 7/8192], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/8640], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6912], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/62208], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/7680], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 7/27648], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 41/165888], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 7/92160], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 5/12288], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 11/9216], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/8640], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/4608], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1/5184], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/46080], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 13/55296], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 5/13824], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/41472], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 1/69120], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/10240], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/92160], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/5184], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/19200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 149/663552], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/57600], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 95/995328], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/103680], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 1/41472], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 139/276480], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/5760], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 137/76800], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 23/36864], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 11/61440], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 19/16384], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 83/138240], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 197/368640], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 7801/2654208], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 743/2211840], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1063/442368], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/7200], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 1/2304], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 7/34560], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 5/5184], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 31/103680], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 13/27648], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 53/276480], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 7/12288], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 49/36864], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 31/92160], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 2111/1327104], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 1/2700], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 1/4320], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 7/69120], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 85/331776], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/4320], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 7/41472], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/6144], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1/34560], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 7/25600], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 77/138240], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 839/921600], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/9216], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 61/103680], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1/23040], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 2069/1843200], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 101/110592], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 919/1105920], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 563/1327104], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 19/69120], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 8879/11059200], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 20153/6635520], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 1817/1474560], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 743/589824], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 79/115200], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 1/9216], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 37/122880], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 367/829440], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 73/103680], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 119/442368], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 9067/5529600], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 5249/33177600], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 1325/2654208], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 2143/2457600], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 179/1327104], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/69120], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/27648], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/331776], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/92160], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 1/61440], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1/49152], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 31/221184], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/27648], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 1/23040], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/5760], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/41472], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 5/165888], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/92160], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/13824], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 41/221184], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/20736], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/46080], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/27648], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/4608], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/51840], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1/19200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 5/55296], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 1/69120], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 1/3840], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 7/92160], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 3/2560], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 17/103680], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/276480], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 41/147456], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 41/230400], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 137/368640], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 10513/13271040], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 167/2211840], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 341/294912], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 1/3840], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2304], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 19/55296], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 7/103680], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 41/165888], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/30720], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 23/46080], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 341/331776], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 11/92160], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 1277/1327104], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 17/69120], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 67/331776], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/17280], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/4608], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 1/276480], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 11/92160], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 19/184320], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/86400], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 73/103680], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/23040], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 9067/5529600], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 367/829440], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 37/122880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 119/442368], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 1/2880], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 1817/1474560], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 20153/6635520], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 8879/11059200], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 743/589824], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/9216], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 79/115200], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 919/1105920], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 101/110592], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 61/103680], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 563/1327104], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 19/69120], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 2069/1843200], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 20771/33177600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 72749/66355200], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 305/294912], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 409/1769472], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/1105920], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/110592], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 5/221184], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/138240], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/57600], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1/69120], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/2488320], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 41/184320], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 23/1658880], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 19/1327104], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 7/460800], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 73/737280], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 31/294912], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 59/294912], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/17280], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/3840], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1/23040], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 5/165888], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 11/92160], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 17/92160], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 7/276480], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 133/442368], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 47/207360], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/36864], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/13824], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1382400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 3/10240], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1/92160], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1133/1105920], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 89/829440], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 541/16588800], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 41/442368], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 17/172800], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1223/1474560], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 1483/1327104], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 81/409600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 1609/2654208], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1/23040], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 217/691200], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1/43200], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 1031/1105920], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 19/27648], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 283/1382400], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 449/1327104], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1/46080], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 5/24576], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/86400], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 305/294912], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 72749/66355200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 20771/33177600], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 409/1769472], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/1105920], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/36864], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/1658880], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/1327104], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/737280], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 1/221184], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 19/1769472], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 1/829440], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1/61440], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 7/552960], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 5/147456], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/13824], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 1/276480], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 133/368640], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 1/82944], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 31/16588800], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 19/1327104], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1/230400], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 169/737280], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 1033/6635520], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 19/1638400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 373/2654208], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 1/27648], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/691200], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 581/1105920], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 103/829440], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 43/1382400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 17/147456], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 19/1105920], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1382400], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 2143/2457600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 1325/2654208], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 5249/33177600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 179/1327104], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/4423680], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/1769472], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/552960], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 1/24576], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/1658880], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/1327104], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 13/737280], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 53/6635520], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 31/44236800], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 59/3538944], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 187/1105920], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1/276480], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 5/442368], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1105920], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 4753/11059200], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 337/4423680], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 1981/132710400], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 7/165888], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 1/589824], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/3317760], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/1179648], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 17/1105920], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 1403/11059200], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 5/1327104], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 109/132710400], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 7/1179648], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/8847360], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 779/44236800], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/13271040], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/3538944], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 7/8847360], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/2304], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/768], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/6144], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/6144], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3072], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/768], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/6144], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/1024], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/9600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/6144], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1024], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/17280], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/4320], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/19200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 23/46080], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/12288], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/691200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/27648], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/36864], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/2304], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/17280], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/1024], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/8640], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/6144], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1024], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2700], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1536], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/900], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 11/15360], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/768], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/7200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3456], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/19200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 253/691200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 7/18432], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4096], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/6144], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/3072], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/7200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/9600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1536], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 11/15360], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/900], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/768], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2700], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/55296], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 197/115200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 61/92160], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/18432], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/4608], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 23/46080], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/19200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/12288], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/4320], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/17280], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4608], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 61/92160], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 197/115200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/55296], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/18432], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/23040], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/12288], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 7/18432], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 253/691200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/19200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4096], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/92160], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/27648], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/691200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/36864], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800] ]}