{[
[[[1, 25]], 1/112717121716224000],
[[[2, 25]], 1/112717121716224000],
[[[1, 1], [2, 24]], 7/7514474781081600],
[[[1, 2], [2, 23]], 391/9393093476352000],
[[[1, 3], [2, 22]], 29377/28179280429056000],
[[[1, 4], [2, 21]], 918389/56358560858112000],
[[[1, 5], [2, 20]], 3164087/18786186952704000],
[[[1, 5], [4, 10]], 1/377487360],
[[[1, 6], [2, 19]], 3741893/3131031158784000],
[[[1, 7], [2, 18]], 168947089/28179280429056000],
[[[1, 7], [3, 9]], 1/3317760],
[[[1, 8], [2, 17]], 91267733/4174708211712000],
[[[1, 9], [2, 16]], 2241342613/37572373905408000],
[[[1, 9], [3, 8]], 1/1658880],
[[[1, 9], [4, 8]], 691/1087163596800],
[[[1, 10], [2, 15]], 589737791/4696546738176000],
[[[1, 11], [2, 14]], 326422993/1565515579392000],
[[[1, 11], [3, 7]], 1/13436928],
[[[1, 12], [2, 13]], 2541361129/9393093476352000],
[[[1, 13], [2, 12]], 2541361129/9393093476352000],
[[[1, 13], [3, 6]], 25/429981696],
[[[1, 13], [4, 6]], 1/16106127360],
[[[1, 13], [5, 3]], 1/9216000],
[[[1, 14], [2, 11]], 326422993/1565515579392000],
[[[1, 15], [2, 10]], 589737791/4696546738176000],
[[[1, 15], [3, 5]], 23/1433272320],
[[[1, 16], [2, 9]], 2241342613/37572373905408000],
[[[1, 17], [2, 8]], 91267733/4174708211712000],
[[[1, 17], [3, 4]], 491/275188285440],
[[[1, 17], [4, 4]], 1/1087163596800],
[[[1, 17], [5, 2]], 1/7077888000],
[[[1, 18], [2, 7]], 168947089/28179280429056000],
[[[1, 19], [2, 6]], 3741893/3131031158784000],
[[[1, 19], [3, 3]], 353/5503765708800],
[[[1, 20], [2, 5]], 3164087/18786186952704000],
[[[1, 21], [2, 4]], 918389/56358560858112000],
[[[1, 21], [3, 2]], 49/58706834227200],
[[[1, 21], [4, 2]], 23/4696546738176000],
[[[1, 21], [5, 1]], 1/16307453952000],
[[[1, 22], [2, 3]], 29377/28179280429056000],
[[[1, 23], [2, 2]], 391/9393093476352000],
[[[1, 23], [3, 1]], 1/220150628352000],
[[[1, 24], [2, 1]], 7/7514474781081600],
[[[2, 5], [4, 10]], 1/377487360],
[[[2, 7], [6, 9]], 1/3317760],
[[[2, 9], [4, 8]], 691/1087163596800],
[[[2, 9], [6, 8]], 1/1658880],
[[[2, 11], [6, 7]], 1/13436928],
[[[2, 13], [4, 6]], 1/16106127360],
[[[2, 13], [6, 6]], 25/429981696],
[[[2, 13], [10, 3]], 1/9216000],
[[[2, 15], [6, 5]], 23/1433272320],
[[[2, 17], [4, 4]], 1/1087163596800],
[[[2, 17], [6, 4]], 491/275188285440],
[[[2, 17], [10, 2]], 1/7077888000],
[[[2, 19], [6, 3]], 353/5503765708800],
[[[2, 21], [4, 2]], 23/4696546738176000],
[[[2, 21], [6, 2]], 49/58706834227200],
[[[2, 21], [10, 1]], 1/16307453952000],
[[[2, 23], [6, 1]], 1/220150628352000],
[[[1, 1], [2, 4], [4, 10]], 1/75497472],
[[[1, 1], [2, 6], [4, 9]], 1/10485760],
[[[1, 1], [2, 8], [4, 8]], 2201/362387865600],
[[[1, 1], [2, 8], [6, 8]], 1/552960],
[[[1, 1], [2, 10], [4, 7]], 10501/815372697600],
[[[1, 1], [2, 10], [6, 7]], 1/4478976],
[[[1, 1], [2, 12], [4, 6]], 71/48318382080],
[[[1, 1], [2, 12], [6, 6]], 77/143327232],
[[[1, 1], [2, 12], [10, 3]], 1/614400],
[[[1, 1], [2, 14], [4, 5]], 1/1132462080],
[[[1, 1], [2, 14], [6, 5]], 41/159252480],
[[[1, 1], [2, 16], [4, 4]], 1/21743271936],
[[[1, 1], [2, 16], [6, 4]], 3989/91729428480],
[[[1, 1], [2, 16], [10, 2]], 1/157286400],
[[[1, 1], [2, 18], [4, 3]], 113/13045963161600],
[[[1, 1], [2, 18], [6, 3]], 4573/1834588569600],
[[[1, 1], [2, 20], [4, 2]], 593/1565515579392000],
[[[1, 1], [2, 20], [6, 2]], 323/6522981580800],
[[[1, 1], [2, 20], [8, 1]], 1/26091926323200],
[[[1, 1], [2, 20], [10, 1]], 1/217432719360],
[[[1, 1], [2, 22], [4, 1]], 1/43486543872000],
[[[1, 1], [2, 22], [6, 1]], 109/293534171136000],
[[[1, 1], [4, 4], [8, 4]], 1/65536],
[[[1, 1], [4, 8], [8, 2]], 1/11796480],
[[[1, 2], [2, 3], [4, 10]], 1/37748736],
[[[1, 2], [2, 5], [4, 9]], 23/47185920],
[[[1, 2], [2, 7], [4, 8]], 281947/271790899200],
[[[1, 2], [2, 9], [4, 7]], 107599/815372697600],
[[[1, 2], [2, 9], [6, 7]], 1/4478976],
[[[1, 2], [2, 11], [4, 6]], 355411/3261490790400],
[[[1, 2], [2, 11], [6, 6]], 211/143327232],
[[[1, 2], [2, 11], [10, 3]], 19/3072000],
[[[1, 2], [2, 13], [4, 5]], 781/36238786560],
[[[1, 2], [2, 13], [6, 5]], 713/477757440],
[[[1, 2], [2, 15], [4, 4]], 731/144955146240],
[[[1, 2], [2, 15], [6, 4]], 19123/45864714240],
[[[1, 2], [2, 15], [8, 2]], 1/18119393280],
[[[1, 2], [2, 15], [10, 2]], 13/131072000],
[[[1, 2], [2, 17], [4, 3]], 1909/4348654387200],
[[[1, 2], [2, 17], [6, 3]], 69863/1834588569600],
[[[1, 2], [2, 19], [3, 2]], 1/58706834227200],
[[[1, 2], [2, 19], [4, 2]], 25249/782757789696000],
[[[1, 2], [2, 19], [5, 1]], 1/16307453952000],
[[[1, 2], [2, 19], [6, 2]], 22813/19568944742400],
[[[1, 2], [2, 19], [8, 1]], 1/347892350976],
[[[1, 2], [2, 19], [10, 1]], 749/5435817984000],
[[[1, 2], [2, 21], [3, 1]], 23/1761205026816000],
[[[1, 2], [2, 21], [4, 1]], 13/7247757312000],
[[[1, 2], [2, 21], [6, 1]], 7343/587068342272000],
[[[1, 3], [2, 2], [4, 10]], 1/37748736],
[[[1, 3], [2, 4], [4, 9]], 31/31457280],
[[[1, 3], [2, 6], [4, 8]], 1486079/271790899200],
[[[1, 3], [2, 8], [4, 7]], 2052497/407686348800],
[[[1, 3], [2, 8], [6, 7]], 1/13436928],
[[[1, 3], [2, 10], [4, 6]], 3539827/3261490790400],
[[[1, 3], [2, 10], [6, 6]], 775/429981696],
[[[1, 3], [2, 10], [8, 3]], 7/188743680],
[[[1, 3], [2, 10], [10, 3]], 103/9216000],
[[[1, 3], [2, 12], [4, 5]], 55403/108716359680],
[[[1, 3], [2, 12], [6, 5]], 5693/1433272320],
[[[1, 3], [2, 14], [4, 4]], 9857/86973087744],
[[[1, 3], [2, 14], [6, 4]], 278809/137594142720],
[[[1, 3], [2, 14], [8, 2]], 1/402653184],
[[[1, 3], [2, 14], [10, 2]], 2519/3538944000],
[[[1, 3], [2, 16], [4, 3]], 97613/6522981580800],
[[[1, 3], [2, 16], [6, 3]], 1674683/5503765708800],
[[[1, 3], [2, 18], [3, 2]], 1/782757789696],
[[[1, 3], [2, 18], [4, 2]], 2924539/2348273369088000],
[[[1, 3], [2, 18], [5, 1]], 1/217432719360],
[[[1, 3], [2, 18], [6, 2]], 853717/58706834227200],
[[[1, 3], [2, 18], [8, 1]], 749/8697308774400],
[[[1, 3], [2, 18], [10, 1]], 35173/16307453952000],
[[[1, 3], [2, 20], [3, 1]], 593/587068342272000],
[[[1, 3], [2, 20], [4, 1]], 22247/391378894848000],
[[[1, 3], [2, 20], [6, 1]], 403163/1761205026816000],
[[[1, 3], [3, 5], [9, 2]], 1/5184],
[[[1, 3], [4, 5], [8, 3]], 19/3145728],
[[[1, 3], [4, 9], [8, 1]], 1/31457280],
[[[1, 4], [2, 1], [4, 10]], 1/75497472],
[[[1, 4], [2, 3], [4, 9]], 31/31457280],
[[[1, 4], [2, 5], [4, 8]], 244885/21743271936],
[[[1, 4], [2, 5], [8, 4]], 1/65536],
[[[1, 4], [2, 7], [4, 7]], 10871543/407686348800],
[[[1, 4], [2, 9], [4, 6]], 90478679/6522981580800],
[[[1, 4], [2, 9], [6, 6]], 463/429981696],
[[[1, 4], [2, 9], [8, 3]], 137/188743680],
[[[1, 4], [2, 9], [10, 3]], 103/9216000],
[[[1, 4], [2, 11], [4, 5]], 52739/12079595520],
[[[1, 4], [2, 11], [6, 5]], 1637/286654464],
[[[1, 4], [2, 13], [3, 4]], 1/91729428480],
[[[1, 4], [2, 13], [4, 4]], 2857/2013265920],
[[[1, 4], [2, 13], [5, 2]], 1/7077888000],
[[[1, 4], [2, 13], [6, 4]], 505643/91729428480],
[[[1, 4], [2, 13], [8, 2]], 359/9059696640],
[[[1, 4], [2, 13], [10, 2]], 19003/7077888000],
[[[1, 4], [2, 15], [3, 3]], 31/1834588569600],
[[[1, 4], [2, 15], [4, 3]], 1644523/6522981580800],
[[[1, 4], [2, 15], [6, 3]], 1561009/1100753141760],
[[[1, 4], [2, 17], [3, 2]], 877/19568944742400],
[[[1, 4], [2, 17], [4, 2]], 2327843/104367705292800],
[[[1, 4], [2, 17], [5, 1]], 749/5435817984000],
[[[1, 4], [2, 17], [6, 2]], 792721/7338354278400],
[[[1, 4], [2, 17], [8, 1]], 35173/26091926323200],
[[[1, 4], [2, 17], [10, 1]], 40091/2038431744000],
[[[1, 4], [2, 19], [3, 1]], 6191/195689447424000],
[[[1, 4], [2, 19], [4, 1]], 125753/130459631616000],
[[[1, 4], [2, 19], [6, 1]], 299057/117413668454400],
[[[1, 5], [2, 2], [4, 9]], 23/47185920],
[[[1, 5], [2, 4], [4, 8]], 244885/21743271936],
[[[1, 5], [2, 4], [8, 4]], 1/65536],
[[[1, 5], [2, 6], [4, 7]], 760009/13589544960],
[[[1, 5], [2, 8], [4, 6]], 435585347/6522981580800],
[[[1, 5], [2, 8], [6, 6]], 43/143327232],
[[[1, 5], [2, 8], [8, 3]], 65/12582912],
[[[1, 5], [2, 8], [10, 3]], 19/3072000],
[[[1, 5], [2, 10], [4, 5]], 1030757/36238786560],
[[[1, 5], [2, 10], [6, 5]], 457/95551488],
[[[1, 5], [2, 12], [3, 4]], 1/2038431744],
[[[1, 5], [2, 12], [4, 4]], 1714571/181193932800],
[[[1, 5], [2, 12], [5, 2]], 1/157286400],
[[[1, 5], [2, 12], [6, 4]], 18659/2038431744],
[[[1, 5], [2, 12], [8, 2]], 563/1811939328],
[[[1, 5], [2, 12], [10, 2]], 14429/2359296000],
[[[1, 5], [2, 14], [3, 3]], 491/611529523200],
[[[1, 5], [2, 14], [4, 3]], 4626917/2174327193600],
[[[1, 5], [2, 14], [6, 3]], 1507933/366917713920],
[[[1, 5], [2, 16], [3, 2]], 54373/58706834227200],
[[[1, 5], [2, 16], [4, 2]], 22436743/104367705292800],
[[[1, 5], [2, 16], [5, 1]], 35173/16307453952000],
[[[1, 5], [2, 16], [6, 2]], 1246199/2446118092800],
[[[1, 5], [2, 16], [8, 1]], 40091/3261490790400],
[[[1, 5], [2, 16], [10, 1]], 25211/226492416000],
[[[1, 5], [2, 18], [3, 1]], 929633/1761205026816000],
[[[1, 5], [2, 18], [4, 1]], 76819/7827577896960],
[[[1, 5], [2, 18], [6, 1]], 26573/1449551462400],
[[[1, 5], [3, 2], [4, 8]], 1/106168320],
[[[1, 5], [3, 4], [9, 2]], 1/2592],
[[[1, 5], [3, 7], [9, 1]], 1/20736],
[[[1, 5], [4, 6], [8, 2]], 5/8388608],
[[[1, 5], [4, 6], [12, 2]], 1/589824],
[[[1, 5], [4, 6], [20, 1]], 1/163840],
[[[1, 5], [4, 8], [5, 1]], 1/29491200],
[[[1, 5], [4, 8], [12, 1]], 1/2359296],
[[[1, 6], [2, 1], [4, 9]], 1/10485760],
[[[1, 6], [2, 3], [4, 8]], 1486079/271790899200],
[[[1, 6], [2, 5], [4, 7]], 760009/13589544960],
[[[1, 6], [2, 7], [3, 6]], 1/429981696],
[[[1, 6], [2, 7], [4, 6]], 5062889/36238786560],
[[[1, 6], [2, 7], [5, 3]], 1/9216000],
[[[1, 6], [2, 7], [6, 6]], 5/143327232],
[[[1, 6], [2, 7], [8, 3]], 637/37748736],
[[[1, 6], [2, 7], [10, 3]], 1/614400],
[[[1, 6], [2, 9], [3, 5]], 1/179159040],
[[[1, 6], [2, 9], [4, 5]], 5977309/54358179840],
[[[1, 6], [2, 9], [6, 5]], 3413/1433272320],
[[[1, 6], [2, 11], [3, 4]], 37/3057647616],
[[[1, 6], [2, 11], [4, 4]], 91873439/2174327193600],
[[[1, 6], [2, 11], [5, 2]], 13/131072000],
[[[1, 6], [2, 11], [6, 4]], 224393/22932357120],
[[[1, 6], [2, 11], [8, 2]], 5119/3623878656],
[[[1, 6], [2, 11], [10, 2]], 16069/1769472000],
[[[1, 6], [2, 13], [3, 3]], 27403/1834588569600],
[[[1, 6], [2, 13], [4, 3]], 68178689/6522981580800],
[[[1, 6], [2, 13], [6, 3]], 14382707/1834588569600],
[[[1, 6], [2, 15], [3, 2]], 9421/815372697600],
[[[1, 6], [2, 15], [4, 2]], 243503581/195689447424000],
[[[1, 6], [2, 15], [5, 1]], 40091/2038431744000],
[[[1, 6], [2, 15], [6, 2]], 5866003/3669177139200],
[[[1, 6], [2, 15], [8, 1]], 25211/362387865600],
[[[1, 6], [2, 15], [10, 1]], 209941/509607936000],
[[[1, 6], [2, 17], [3, 1]], 102923/19568944742400],
[[[1, 6], [2, 17], [4, 1]], 201049/3131031158784],
[[[1, 6], [2, 17], [6, 1]], 6532301/73383542784000],
[[[1, 7], [2, 2], [4, 8]], 281947/271790899200],
[[[1, 7], [2, 4], [4, 7]], 10871543/407686348800],
[[[1, 7], [2, 6], [3, 6]], 5/143327232],
[[[1, 7], [2, 6], [4, 6]], 5062889/36238786560],
[[[1, 7], [2, 6], [5, 3]], 1/614400],
[[[1, 7], [2, 6], [6, 6]], 1/429981696],
[[[1, 7], [2, 6], [8, 3]], 637/37748736],
[[[1, 7], [2, 6], [10, 3]], 1/9216000],
[[[1, 7], [2, 8], [3, 5]], 1/9953280],
[[[1, 7], [2, 8], [4, 5]], 3957079/18119393280],
[[[1, 7], [2, 8], [6, 5]], 979/1433272320],
[[[1, 7], [2, 10], [3, 4]], 6779/45864714240],
[[[1, 7], [2, 10], [4, 4]], 55604567/434865438720],
[[[1, 7], [2, 10], [5, 2]], 2519/3538944000],
[[[1, 7], [2, 10], [6, 4]], 31549/4586471424],
[[[1, 7], [2, 10], [8, 2]], 73303/18119393280],
[[[1, 7], [2, 10], [10, 2]], 16069/1769472000],
[[[1, 7], [2, 12], [3, 3]], 261181/1834588569600],
[[[1, 7], [2, 12], [4, 3]], 928491/26843545600],
[[[1, 7], [2, 12], [6, 3]], 56339303/5503765708800],
[[[1, 7], [2, 14], [3, 2]], 7993/90596966400],
[[[1, 7], [2, 14], [4, 2]], 308256371/65229815808000],
[[[1, 7], [2, 14], [5, 1]], 25211/226492416000],
[[[1, 7], [2, 14], [6, 2]], 159721/45864714240],
[[[1, 7], [2, 14], [8, 1]], 209989/815372697600],
[[[1, 7], [2, 14], [10, 1]], 1071121/1019215872000],
[[[1, 7], [2, 16], [3, 1]], 245777/7338354278400],
[[[1, 7], [2, 16], [4, 1]], 1158767/4076863488000],
[[[1, 7], [2, 16], [6, 1]], 22176923/73383542784000],
[[[1, 7], [3, 1], [4, 8]], 1/424673280],
[[[1, 7], [3, 6], [9, 1]], 1/10368],
[[[1, 7], [3, 7], [6, 2]], 1/3317760],
[[[1, 7], [3, 7], [12, 1]], 1/552960],
[[[1, 7], [4, 3], [8, 3]], 7/188743680],
[[[1, 7], [4, 7], [8, 1]], 2033/135895449600],
[[[1, 8], [2, 1], [3, 8]], 1/552960],
[[[1, 8], [2, 1], [4, 8]], 2201/362387865600],
[[[1, 8], [2, 3], [3, 7]], 1/13436928],
[[[1, 8], [2, 3], [4, 7]], 2052497/407686348800],
[[[1, 8], [2, 5], [3, 6]], 43/143327232],
[[[1, 8], [2, 5], [4, 6]], 435585347/6522981580800],
[[[1, 8], [2, 5], [5, 3]], 19/3072000],
[[[1, 8], [2, 5], [8, 3]], 65/12582912],
[[[1, 8], [2, 7], [3, 5]], 979/1433272320],
[[[1, 8], [2, 7], [4, 5]], 3957079/18119393280],
[[[1, 8], [2, 7], [6, 5]], 1/9953280],
[[[1, 8], [2, 9], [3, 4]], 82691/91729428480],
[[[1, 8], [2, 9], [4, 4]], 50298659/217432719360],
[[[1, 8], [2, 9], [5, 2]], 19003/7077888000],
[[[1, 8], [2, 9], [6, 4]], 32119/10192158720],
[[[1, 8], [2, 9], [8, 2]], 31213/4529848320],
[[[1, 8], [2, 9], [10, 2]], 14429/2359296000],
[[[1, 8], [2, 11], [3, 3]], 94501/122305904640],
[[[1, 8], [2, 11], [4, 3]], 180626749/2174327193600],
[[[1, 8], [2, 11], [6, 3]], 1907849/203843174400],
[[[1, 8], [2, 13], [3, 2]], 58207/135895449600],
[[[1, 8], [2, 13], [4, 2]], 3339434639/260919263232000],
[[[1, 8], [2, 13], [5, 1]], 209941/509607936000],
[[[1, 8], [2, 13], [6, 2]], 17750041/3261490790400],
[[[1, 8], [2, 13], [8, 1]], 1074097/1630745395200],
[[[1, 8], [2, 13], [10, 1]], 5255539/2717908992000],
[[[1, 8], [2, 15], [3, 1]], 585197/4076863488000],
[[[1, 8], [2, 15], [4, 1]], 43708387/48922361856000],
[[[1, 8], [2, 15], [6, 1]], 189161/254803968000],
[[[1, 9], [2, 2], [3, 7]], 1/4478976],
[[[1, 9], [2, 2], [4, 7]], 107599/815372697600],
[[[1, 9], [2, 4], [3, 6]], 463/429981696],
[[[1, 9], [2, 4], [4, 6]], 90478679/6522981580800],
[[[1, 9], [2, 4], [5, 3]], 103/9216000],
[[[1, 9], [2, 4], [8, 3]], 137/188743680],
[[[1, 9], [2, 6], [3, 5]], 3413/1433272320],
[[[1, 9], [2, 6], [4, 5]], 5977309/54358179840],
[[[1, 9], [2, 6], [6, 5]], 1/179159040],
[[[1, 9], [2, 8], [3, 4]], 32119/10192158720],
[[[1, 9], [2, 8], [4, 4]], 50298659/217432719360],
[[[1, 9], [2, 8], [5, 2]], 14429/2359296000],
[[[1, 9], [2, 8], [6, 4]], 82691/91729428480],
[[[1, 9], [2, 8], [8, 2]], 31213/4529848320],
[[[1, 9], [2, 8], [10, 2]], 19003/7077888000],
[[[1, 9], [2, 10], [3, 3]], 964193/366917713920],
[[[1, 9], [2, 10], [4, 3]], 12201493/90596966400],
[[[1, 9], [2, 10], [6, 3]], 10981447/1834588569600],
[[[1, 9], [2, 12], [3, 2]], 283873/203843174400],
[[[1, 9], [2, 12], [4, 2]], 20445049729/782757789696000],
[[[1, 9], [2, 12], [5, 1]], 1071121/1019215872000],
[[[1, 9], [2, 12], [6, 2]], 183484787/29353417113600],
[[[1, 9], [2, 12], [8, 1]], 5313139/4348654387200],
[[[1, 9], [2, 12], [10, 1]], 21720283/8153726976000],
[[[1, 9], [2, 14], [3, 1]], 1769051/4076863488000],
[[[1, 9], [2, 14], [4, 1]], 410378933/195689447424000],
[[[1, 9], [2, 14], [6, 1]], 199870837/146767085568000],
[[[1, 9], [3, 2], [4, 6]], 1/150994944],
[[[1, 9], [3, 4], [4, 4]], 1/42467328],
[[[1, 9], [3, 6], [4, 2]], 1/35831808],
[[[1, 9], [4, 2], [5, 3]], 1/768000],
[[[1, 9], [4, 4], [5, 2]], 1/3276800],
[[[1, 9], [4, 4], [8, 2]], 1/75497472],
[[[1, 9], [4, 4], [12, 2]], 1/106168320],
[[[1, 9], [4, 4], [20, 1]], 1/29491200],
[[[1, 9], [4, 6], [5, 1]], 1/41943040],
[[[1, 9], [4, 6], [12, 1]], 1/424673280],
[[[1, 10], [2, 1], [3, 7]], 1/4478976],
[[[1, 10], [2, 1], [4, 7]], 10501/815372697600],
[[[1, 10], [2, 3], [3, 6]], 775/429981696],
[[[1, 10], [2, 3], [4, 6]], 3539827/3261490790400],
[[[1, 10], [2, 3], [5, 3]], 103/9216000],
[[[1, 10], [2, 3], [8, 3]], 7/188743680],
[[[1, 10], [2, 5], [3, 5]], 457/95551488],
[[[1, 10], [2, 5], [4, 5]], 1030757/36238786560],
[[[1, 10], [2, 7], [3, 4]], 31549/4586471424],
[[[1, 10], [2, 7], [4, 4]], 55604567/434865438720],
[[[1, 10], [2, 7], [5, 2]], 16069/1769472000],
[[[1, 10], [2, 7], [6, 4]], 6779/45864714240],
[[[1, 10], [2, 7], [8, 2]], 73303/18119393280],
[[[1, 10], [2, 7], [10, 2]], 2519/3538944000],
[[[1, 10], [2, 9], [3, 3]], 10981447/1834588569600],
[[[1, 10], [2, 9], [4, 3]], 12201493/90596966400],
[[[1, 10], [2, 9], [6, 3]], 964193/366917713920],
[[[1, 10], [2, 11], [3, 2]], 10391929/3261490790400],
[[[1, 10], [2, 11], [4, 2]], 334747403/8697308774400],
[[[1, 10], [2, 11], [5, 1]], 5255539/2717908992000],
[[[1, 10], [2, 11], [6, 2]], 51383761/9784472371200],
[[[1, 10], [2, 11], [8, 1]], 22100443/13045963161600],
[[[1, 10], [2, 11], [10, 1]], 21720283/8153726976000],
[[[1, 10], [2, 13], [3, 1]], 282531757/293534171136000],
[[[1, 10], [2, 13], [4, 1]], 13794379/3623878656000],
[[[1, 10], [2, 13], [6, 1]], 111992267/58706834227200],
[[[1, 11], [2, 2], [3, 6]], 211/143327232],
[[[1, 11], [2, 2], [4, 6]], 355411/3261490790400],
[[[1, 11], [2, 2], [5, 3]], 19/3072000],
[[[1, 11], [2, 4], [3, 5]], 1637/286654464],
[[[1, 11], [2, 4], [4, 5]], 52739/12079595520],
[[[1, 11], [2, 6], [3, 4]], 224393/22932357120],
[[[1, 11], [2, 6], [4, 4]], 91873439/2174327193600],
[[[1, 11], [2, 6], [5, 2]], 16069/1769472000],
[[[1, 11], [2, 6], [6, 4]], 37/3057647616],
[[[1, 11], [2, 6], [8, 2]], 5119/3623878656],
[[[1, 11], [2, 6], [10, 2]], 13/131072000],
[[[1, 11], [2, 8], [3, 3]], 1907849/203843174400],
[[[1, 11], [2, 8], [4, 3]], 180626749/2174327193600],
[[[1, 11], [2, 8], [6, 3]], 94501/122305904640],
[[[1, 11], [2, 10], [3, 2]], 51383761/9784472371200],
[[[1, 11], [2, 10], [4, 2]], 334747403/8697308774400],
[[[1, 11], [2, 10], [5, 1]], 21720283/8153726976000],
[[[1, 11], [2, 10], [6, 2]], 10391929/3261490790400],
[[[1, 11], [2, 10], [8, 1]], 22100443/13045963161600],
[[[1, 11], [2, 10], [10, 1]], 5255539/2717908992000],
[[[1, 11], [2, 12], [3, 1]], 156947843/97844723712000],
[[[1, 11], [2, 12], [4, 1]], 40799123/7827577896960],
[[[1, 11], [2, 12], [6, 1]], 39522671/19568944742400],
[[[1, 11], [3, 1], [4, 6]], 1/301989888],
[[[1, 11], [3, 1], [5, 3]], 1/288000],
[[[1, 11], [3, 3], [4, 4]], 5/169869312],
[[[1, 11], [3, 3], [5, 2]], 1/345600],
[[[1, 11], [3, 5], [4, 2]], 1/11943936],
[[[1, 11], [3, 5], [5, 1]], 1/1244160],
[[[1, 11], [4, 5], [8, 1]], 17/12079595520],
[[[1, 12], [2, 1], [3, 6]], 77/143327232],
[[[1, 12], [2, 1], [4, 6]], 71/48318382080],
[[[1, 12], [2, 1], [5, 3]], 1/614400],
[[[1, 12], [2, 3], [3, 5]], 5693/1433272320],
[[[1, 12], [2, 3], [4, 5]], 55403/108716359680],
[[[1, 12], [2, 5], [3, 4]], 18659/2038431744],
[[[1, 12], [2, 5], [4, 4]], 1714571/181193932800],
[[[1, 12], [2, 5], [5, 2]], 14429/2359296000],
[[[1, 12], [2, 5], [6, 4]], 1/2038431744],
[[[1, 12], [2, 5], [8, 2]], 563/1811939328],
[[[1, 12], [2, 5], [10, 2]], 1/157286400],
[[[1, 12], [2, 7], [3, 3]], 56339303/5503765708800],
[[[1, 12], [2, 7], [4, 3]], 928491/26843545600],
[[[1, 12], [2, 7], [6, 3]], 261181/1834588569600],
[[[1, 12], [2, 9], [3, 2]], 183484787/29353417113600],
[[[1, 12], [2, 9], [4, 2]], 20445049729/782757789696000],
[[[1, 12], [2, 9], [5, 1]], 21720283/8153726976000],
[[[1, 12], [2, 9], [6, 2]], 283873/203843174400],
[[[1, 12], [2, 9], [8, 1]], 5313139/4348654387200],
[[[1, 12], [2, 9], [10, 1]], 1071121/1019215872000],
[[[1, 12], [2, 11], [3, 1]], 39522671/19568944742400],
[[[1, 12], [2, 11], [4, 1]], 40799123/7827577896960],
[[[1, 12], [2, 11], [6, 1]], 156947843/97844723712000],
[[[1, 13], [2, 2], [3, 5]], 713/477757440],
[[[1, 13], [2, 2], [4, 5]], 781/36238786560],
[[[1, 13], [2, 4], [3, 4]], 505643/91729428480],
[[[1, 13], [2, 4], [4, 4]], 2857/2013265920],
[[[1, 13], [2, 4], [5, 2]], 19003/7077888000],
[[[1, 13], [2, 4], [6, 4]], 1/91729428480],
[[[1, 13], [2, 4], [8, 2]], 359/9059696640],
[[[1, 13], [2, 4], [10, 2]], 1/7077888000],
[[[1, 13], [2, 6], [3, 3]], 14382707/1834588569600],
[[[1, 13], [2, 6], [4, 3]], 68178689/6522981580800],
[[[1, 13], [2, 6], [6, 3]], 27403/1834588569600],
[[[1, 13], [2, 8], [3, 2]], 17750041/3261490790400],
[[[1, 13], [2, 8], [4, 2]], 3339434639/260919263232000],
[[[1, 13], [2, 8], [5, 1]], 5255539/2717908992000],
[[[1, 13], [2, 8], [6, 2]], 58207/135895449600],
[[[1, 13], [2, 8], [8, 1]], 1074097/1630745395200],
[[[1, 13], [2, 8], [10, 1]], 209941/509607936000],
[[[1, 13], [2, 10], [3, 1]], 111992267/58706834227200],
[[[1, 13], [2, 10], [4, 1]], 13794379/3623878656000],
[[[1, 13], [2, 10], [6, 1]], 282531757/293534171136000],
[[[1, 13], [3, 2], [4, 4]], 59/9059696640],
[[[1, 13], [3, 2], [5, 2]], 1/1228800],
[[[1, 13], [3, 4], [4, 2]], 37/955514880],
[[[1, 13], [3, 4], [5, 1]], 17/39813120],
[[[1, 13], [4, 2], [5, 2]], 1/36864000],
[[[1, 13], [4, 2], [8, 2]], 1/18119393280],
[[[1, 13], [4, 4], [5, 1]], 17/7549747200],
[[[1, 14], [2, 1], [3, 5]], 41/159252480],
[[[1, 14], [2, 1], [4, 5]], 1/1132462080],
[[[1, 14], [2, 3], [3, 4]], 278809/137594142720],
[[[1, 14], [2, 3], [4, 4]], 9857/86973087744],
[[[1, 14], [2, 3], [5, 2]], 2519/3538944000],
[[[1, 14], [2, 3], [8, 2]], 1/402653184],
[[[1, 14], [2, 5], [3, 3]], 1507933/366917713920],
[[[1, 14], [2, 5], [4, 3]], 4626917/2174327193600],
[[[1, 14], [2, 5], [6, 3]], 491/611529523200],
[[[1, 14], [2, 7], [3, 2]], 159721/45864714240],
[[[1, 14], [2, 7], [4, 2]], 308256371/65229815808000],
[[[1, 14], [2, 7], [5, 1]], 1071121/1019215872000],
[[[1, 14], [2, 7], [6, 2]], 7993/90596966400],
[[[1, 14], [2, 7], [8, 1]], 209989/815372697600],
[[[1, 14], [2, 7], [10, 1]], 25211/226492416000],
[[[1, 14], [2, 9], [3, 1]], 199870837/146767085568000],
[[[1, 14], [2, 9], [4, 1]], 410378933/195689447424000],
[[[1, 14], [2, 9], [6, 1]], 1769051/4076863488000],
[[[1, 15], [2, 2], [3, 4]], 19123/45864714240],
[[[1, 15], [2, 2], [4, 4]], 731/144955146240],
[[[1, 15], [2, 2], [5, 2]], 13/131072000],
[[[1, 15], [2, 2], [8, 2]], 1/18119393280],
[[[1, 15], [2, 4], [3, 3]], 1561009/1100753141760],
[[[1, 15], [2, 4], [4, 3]], 1644523/6522981580800],
[[[1, 15], [2, 4], [6, 3]], 31/1834588569600],
[[[1, 15], [2, 6], [3, 2]], 5866003/3669177139200],
[[[1, 15], [2, 6], [4, 2]], 243503581/195689447424000],
[[[1, 15], [2, 6], [5, 1]], 209941/509607936000],
[[[1, 15], [2, 6], [6, 2]], 9421/815372697600],
[[[1, 15], [2, 6], [8, 1]], 25211/362387865600],
[[[1, 15], [2, 6], [10, 1]], 40091/2038431744000],
[[[1, 15], [2, 8], [3, 1]], 189161/254803968000],
[[[1, 15], [2, 8], [4, 1]], 43708387/48922361856000],
[[[1, 15], [2, 8], [6, 1]], 585197/4076863488000],
[[[1, 15], [3, 1], [4, 4]], 1/5435817984],
[[[1, 15], [3, 1], [5, 2]], 1/36864000],
[[[1, 15], [3, 3], [4, 2]], 257/45864714240],
[[[1, 15], [3, 3], [5, 1]], 13/199065600],
[[[1, 15], [4, 3], [8, 1]], 31/2174327193600],
[[[1, 16], [2, 1], [3, 4]], 3989/91729428480],
[[[1, 16], [2, 1], [4, 4]], 1/21743271936],
[[[1, 16], [2, 1], [5, 2]], 1/157286400],
[[[1, 16], [2, 3], [3, 3]], 1674683/5503765708800],
[[[1, 16], [2, 3], [4, 3]], 97613/6522981580800],
[[[1, 16], [2, 5], [3, 2]], 1246199/2446118092800],
[[[1, 16], [2, 5], [4, 2]], 22436743/104367705292800],
[[[1, 16], [2, 5], [5, 1]], 25211/226492416000],
[[[1, 16], [2, 5], [6, 2]], 54373/58706834227200],
[[[1, 16], [2, 5], [8, 1]], 40091/3261490790400],
[[[1, 16], [2, 5], [10, 1]], 35173/16307453952000],
[[[1, 16], [2, 7], [3, 1]], 22176923/73383542784000],
[[[1, 16], [2, 7], [4, 1]], 1158767/4076863488000],
[[[1, 16], [2, 7], [6, 1]], 245777/7338354278400],
[[[1, 17], [2, 2], [3, 3]], 69863/1834588569600],
[[[1, 17], [2, 2], [4, 3]], 1909/4348654387200],
[[[1, 17], [2, 4], [3, 2]], 792721/7338354278400],
[[[1, 17], [2, 4], [4, 2]], 2327843/104367705292800],
[[[1, 17], [2, 4], [5, 1]], 40091/2038431744000],
[[[1, 17], [2, 4], [6, 2]], 877/19568944742400],
[[[1, 17], [2, 4], [8, 1]], 35173/26091926323200],
[[[1, 17], [2, 4], [10, 1]], 749/5435817984000],
[[[1, 17], [2, 6], [3, 1]], 6532301/73383542784000],
[[[1, 17], [2, 6], [4, 1]], 201049/3131031158784],
[[[1, 17], [2, 6], [6, 1]], 102923/19568944742400],
[[[1, 17], [3, 2], [4, 2]], 911/4892236185600],
[[[1, 17], [3, 2], [5, 1]], 29/12740198400],
[[[1, 17], [4, 2], [5, 1]], 31/1358954496000],
[[[1, 18], [2, 1], [3, 3]], 4573/1834588569600],
[[[1, 18], [2, 1], [4, 3]], 113/13045963161600],
[[[1, 18], [2, 3], [3, 2]], 853717/58706834227200],
[[[1, 18], [2, 3], [4, 2]], 2924539/2348273369088000],
[[[1, 18], [2, 3], [5, 1]], 35173/16307453952000],
[[[1, 18], [2, 3], [6, 2]], 1/782757789696],
[[[1, 18], [2, 3], [8, 1]], 749/8697308774400],
[[[1, 18], [2, 3], [10, 1]], 1/217432719360],
[[[1, 18], [2, 5], [3, 1]], 26573/1449551462400],
[[[1, 18], [2, 5], [4, 1]], 76819/7827577896960],
[[[1, 18], [2, 5], [6, 1]], 929633/1761205026816000],
[[[1, 19], [2, 2], [3, 2]], 22813/19568944742400],
[[[1, 19], [2, 2], [4, 2]], 25249/782757789696000],
[[[1, 19], [2, 2], [5, 1]], 749/5435817984000],
[[[1, 19], [2, 2], [6, 2]], 1/58706834227200],
[[[1, 19], [2, 2], [8, 1]], 1/347892350976],
[[[1, 19], [2, 2], [10, 1]], 1/16307453952000],
[[[1, 19], [2, 4], [3, 1]], 299057/117413668454400],
[[[1, 19], [2, 4], [4, 1]], 125753/130459631616000],
[[[1, 19], [2, 4], [6, 1]], 6191/195689447424000],
[[[1, 19], [3, 1], [4, 2]], 17/9784472371200],
[[[1, 19], [3, 1], [5, 1]], 11/509607936000],
[[[1, 19], [4, 1], [8, 1]], 1/26091926323200],
[[[1, 20], [2, 1], [3, 2]], 323/6522981580800],
[[[1, 20], [2, 1], [4, 2]], 593/1565515579392000],
[[[1, 20], [2, 1], [5, 1]], 1/217432719360],
[[[1, 20], [2, 1], [8, 1]], 1/26091926323200],
[[[1, 20], [2, 3], [3, 1]], 403163/1761205026816000],
[[[1, 20], [2, 3], [4, 1]], 22247/391378894848000],
[[[1, 20], [2, 3], [6, 1]], 593/587068342272000],
[[[1, 21], [2, 2], [3, 1]], 7343/587068342272000],
[[[1, 21], [2, 2], [4, 1]], 13/7247757312000],
[[[1, 21], [2, 2], [6, 1]], 23/1761205026816000],
[[[1, 22], [2, 1], [3, 1]], 109/293534171136000],
[[[1, 22], [2, 1], [4, 1]], 1/43486543872000],
[[[2, 1], [4, 4], [8, 4]], 1/65536],
[[[2, 1], [4, 8], [8, 2]], 1/11796480],
[[[2, 3], [4, 5], [8, 3]], 19/3145728],
[[[2, 3], [4, 9], [8, 1]], 1/31457280],
[[[2, 3], [6, 5], [18, 2]], 1/5184],
[[[2, 5], [4, 6], [8, 2]], 5/8388608],
[[[2, 5], [4, 6], [12, 2]], 1/589824],
[[[2, 5], [4, 6], [20, 1]], 1/163840],
[[[2, 5], [4, 8], [6, 2]], 1/106168320],
[[[2, 5], [4, 8], [10, 1]], 1/29491200],
[[[2, 5], [4, 8], [12, 1]], 1/2359296],
[[[2, 5], [6, 4], [18, 2]], 1/2592],
[[[2, 5], [6, 7], [18, 1]], 1/20736],
[[[2, 7], [3, 2], [6, 7]], 1/3317760],
[[[2, 7], [4, 3], [8, 3]], 7/188743680],
[[[2, 7], [4, 7], [8, 1]], 2033/135895449600],
[[[2, 7], [4, 8], [6, 1]], 1/424673280],
[[[2, 7], [6, 6], [18, 1]], 1/10368],
[[[2, 7], [6, 7], [12, 1]], 1/552960],
[[[2, 9], [4, 2], [6, 6]], 1/35831808],
[[[2, 9], [4, 2], [10, 3]], 1/768000],
[[[2, 9], [4, 4], [6, 4]], 1/42467328],
[[[2, 9], [4, 4], [8, 2]], 1/75497472],
[[[2, 9], [4, 4], [10, 2]], 1/3276800],
[[[2, 9], [4, 4], [12, 2]], 1/106168320],
[[[2, 9], [4, 4], [20, 1]], 1/29491200],
[[[2, 9], [4, 6], [6, 2]], 1/150994944],
[[[2, 9], [4, 6], [10, 1]], 1/41943040],
[[[2, 9], [4, 6], [12, 1]], 1/424673280],
[[[2, 11], [4, 2], [6, 5]], 1/11943936],
[[[2, 11], [4, 4], [6, 3]], 5/169869312],
[[[2, 11], [4, 5], [8, 1]], 17/12079595520],
[[[2, 11], [4, 6], [6, 1]], 1/301989888],
[[[2, 11], [6, 1], [10, 3]], 1/288000],
[[[2, 11], [6, 3], [10, 2]], 1/345600],
[[[2, 11], [6, 5], [10, 1]], 1/1244160],
[[[2, 13], [4, 2], [6, 4]], 37/955514880],
[[[2, 13], [4, 2], [8, 2]], 1/18119393280],
[[[2, 13], [4, 2], [10, 2]], 1/36864000],
[[[2, 13], [4, 4], [6, 2]], 59/9059696640],
[[[2, 13], [4, 4], [10, 1]], 17/7549747200],
[[[2, 13], [6, 2], [10, 2]], 1/1228800],
[[[2, 13], [6, 4], [10, 1]], 17/39813120],
[[[2, 15], [4, 2], [6, 3]], 257/45864714240],
[[[2, 15], [4, 3], [8, 1]], 31/2174327193600],
[[[2, 15], [4, 4], [6, 1]], 1/5435817984],
[[[2, 15], [6, 1], [10, 2]], 1/36864000],
[[[2, 15], [6, 3], [10, 1]], 13/199065600],
[[[2, 17], [4, 2], [6, 2]], 911/4892236185600],
[[[2, 17], [4, 2], [10, 1]], 31/1358954496000],
[[[2, 17], [6, 2], [10, 1]], 29/12740198400],
[[[2, 19], [4, 1], [8, 1]], 1/26091926323200],
[[[2, 19], [4, 2], [6, 1]], 17/9784472371200],
[[[2, 19], [6, 1], [10, 1]], 11/509607936000],
[[[1, 1], [2, 2], [4, 3], [8, 4]], 1/16384],
[[[1, 1], [2, 2], [4, 5], [8, 3]], 281/3145728],
[[[1, 1], [2, 2], [4, 7], [8, 2]], 1/368640],
[[[1, 1], [2, 2], [4, 9], [8, 1]], 1/10485760],
[[[1, 1], [2, 4], [3, 1], [4, 9]], 1/47185920],
[[[1, 1], [2, 4], [4, 4], [8, 3]], 107/3145728],
[[[1, 1], [2, 4], [4, 6], [8, 2]], 249/8388608],
[[[1, 1], [2, 4], [4, 6], [12, 2]], 5/589824],
[[[1, 1], [2, 4], [4, 6], [20, 1]], 1/32768],
[[[1, 1], [2, 4], [4, 7], [6, 3]], 1/39813120],
[[[1, 1], [2, 4], [4, 8], [6, 2]], 1/35389440],
[[[1, 1], [2, 4], [4, 8], [8, 1]], 301/283115520],
[[[1, 1], [2, 4], [4, 8], [10, 1]], 1/9830400],
[[[1, 1], [2, 4], [4, 8], [12, 1]], 5/2359296],
[[[1, 1], [2, 4], [4, 9], [6, 1]], 1/47185920],
[[[1, 1], [2, 4], [6, 4], [18, 2]], 1/864],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 31/3317760],
[[[1, 1], [2, 6], [3, 3], [6, 6]], 31/3317760],
[[[1, 1], [2, 6], [4, 3], [8, 3]], 137/188743680],
[[[1, 1], [2, 6], [4, 5], [8, 2]], 67/12582912],
[[[1, 1], [2, 6], [4, 5], [12, 2]], 1/98304],
[[[1, 1], [2, 6], [4, 5], [16, 1]], 1/262144],
[[[1, 1], [2, 6], [4, 5], [20, 1]], 3/81920],
[[[1, 1], [2, 6], [4, 7], [6, 2]], 1/3317760],
[[[1, 1], [2, 6], [4, 7], [8, 1]], 316823/135895449600],
[[[1, 1], [2, 6], [4, 7], [10, 1]], 47/44236800],
[[[1, 1], [2, 6], [4, 7], [12, 1]], 1/196608],
[[[1, 1], [2, 6], [4, 8], [6, 1]], 1/47185920],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 1/3456],
[[[1, 1], [2, 8], [3, 1], [4, 7]], 2033/203843174400],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 17/829440],
[[[1, 1], [2, 8], [4, 2], [6, 6]], 1/11943936],
[[[1, 1], [2, 8], [4, 2], [8, 3]], 7/62914560],
[[[1, 1], [2, 8], [4, 2], [10, 3]], 1/256000],
[[[1, 1], [2, 8], [4, 3], [6, 5]], 1/7962624],
[[[1, 1], [2, 8], [4, 4], [6, 4]], 5/42467328],
[[[1, 1], [2, 8], [4, 4], [8, 2]], 371/1132462080],
[[[1, 1], [2, 8], [4, 4], [10, 2]], 1/655360],
[[[1, 1], [2, 8], [4, 4], [12, 2]], 11/35389440],
[[[1, 1], [2, 8], [4, 4], [20, 1]], 11/9830400],
[[[1, 1], [2, 8], [4, 5], [6, 3]], 1/14155776],
[[[1, 1], [2, 8], [4, 6], [6, 2]], 7/150994944],
[[[1, 1], [2, 8], [4, 6], [8, 1]], 33323/135895449600],
[[[1, 1], [2, 8], [4, 6], [10, 1]], 7/41943040],
[[[1, 1], [2, 8], [4, 6], [12, 1]], 11/141557760],
[[[1, 1], [2, 8], [4, 7], [6, 1]], 1897/22649241600],
[[[1, 1], [2, 8], [8, 2], [16, 1]], 1/11796480],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 1/746496],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1/1990656],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 1/128000],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 1/1990656],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 1/1990656],
[[[1, 1], [2, 10], [4, 3], [8, 2]], 91/1132462080],
[[[1, 1], [2, 10], [4, 3], [10, 2]], 1/307200],
[[[1, 1], [2, 10], [4, 3], [12, 2]], 1/79626240],
[[[1, 1], [2, 10], [4, 3], [16, 1]], 1/47185920],
[[[1, 1], [2, 10], [4, 3], [20, 1]], 1/22118400],
[[[1, 1], [2, 10], [4, 4], [6, 3]], 43/169869312],
[[[1, 1], [2, 10], [4, 5], [6, 2]], 11/75497472],
[[[1, 1], [2, 10], [4, 5], [8, 1]], 1513/36238786560],
[[[1, 1], [2, 10], [4, 5], [10, 1]], 23/62914560],
[[[1, 1], [2, 10], [4, 5], [12, 1]], 11/637009920],
[[[1, 1], [2, 10], [4, 6], [6, 1]], 11/301989888],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 1/96000],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 1/115200],
[[[1, 1], [2, 10], [6, 5], [8, 1]], 1/1990656],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 1/414720],
[[[1, 1], [2, 12], [3, 1], [4, 5]], 17/18119393280],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 17/23887872],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 19/31850496],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 49/106168320],
[[[1, 1], [2, 12], [4, 2], [8, 2]], 1/402653184],
[[[1, 1], [2, 12], [4, 2], [10, 2]], 1/2048000],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 7/19906560],
[[[1, 1], [2, 12], [4, 4], [6, 2]], 173/1811939328],
[[[1, 1], [2, 12], [4, 4], [8, 1]], 107/7247757312],
[[[1, 1], [2, 12], [4, 4], [10, 1]], 71/1509949440],
[[[1, 1], [2, 12], [4, 5], [6, 1]], 299/6039797760],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 29/3686400],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 17/63700992],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 53/13271040],
[[[1, 1], [2, 12], [8, 1], [10, 2]], 1/4915200],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 13/119439360],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 137/637009920],
[[[1, 1], [2, 14], [4, 1], [8, 2]], 1/9059696640],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 19/147456000],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 1649/15288238080],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 1319/20384317440],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 491/724775731200],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 121/5662310400],
[[[1, 1], [2, 14], [4, 4], [6, 1]], 71/13589544960],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 23/36864000],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 13/318504960],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 73/66355200],
[[[1, 1], [2, 16], [3, 1], [4, 3]], 31/3261490790400],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 29/7644119040],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 283/10192158720],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 10171/1630745395200],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 59/724775731200],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 491/452984832000],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 5711/3261490790400],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 29/20384317440],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 299/4246732800],
[[[1, 1], [2, 16], [8, 1], [10, 1]], 1/5662310400],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 11/305764761600],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 29/32614907904],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 1/347892350976],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 73/679477248000],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 103/1087163596800],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 11/815372697600],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 191/169869312000],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/39137889484800],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/9784472371200],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 107/13045963161600],
[[[1, 1], [4, 2], [8, 3], [16, 1]], 1/8192],
[[[1, 1], [4, 4], [8, 2], [12, 2]], 1/18432],
[[[1, 1], [4, 4], [8, 2], [20, 1]], 1/5120],
[[[1, 1], [4, 6], [8, 2], [12, 1]], 1/73728],
[[[1, 2], [2, 1], [4, 3], [8, 4]], 1/16384],
[[[1, 2], [2, 1], [4, 5], [8, 3]], 281/3145728],
[[[1, 2], [2, 1], [4, 7], [8, 2]], 1/368640],
[[[1, 2], [2, 1], [4, 9], [8, 1]], 1/10485760],
[[[1, 2], [2, 3], [3, 1], [4, 9]], 1/15728640],
[[[1, 2], [2, 3], [3, 2], [4, 8]], 1/21233664],
[[[1, 2], [2, 3], [4, 2], [8, 4]], 3/32768],
[[[1, 2], [2, 3], [4, 4], [8, 3]], 459/1048576],
[[[1, 2], [2, 3], [4, 6], [8, 2]], 20341/188743680],
[[[1, 2], [2, 3], [4, 6], [12, 2]], 5/294912],
[[[1, 2], [2, 3], [4, 6], [20, 1]], 1/16384],
[[[1, 2], [2, 3], [4, 7], [6, 3]], 1/39813120],
[[[1, 2], [2, 3], [4, 8], [5, 1]], 1/29491200],
[[[1, 2], [2, 3], [4, 8], [6, 2]], 7/106168320],
[[[1, 2], [2, 3], [4, 8], [8, 1]], 919/283115520],
[[[1, 2], [2, 3], [4, 8], [10, 1]], 1/9830400],
[[[1, 2], [2, 3], [4, 8], [12, 1]], 5/1179648],
[[[1, 2], [2, 3], [4, 9], [6, 1]], 1/15728640],
[[[1, 2], [2, 3], [8, 3], [16, 1]], 1/8192],
[[[1, 2], [2, 5], [3, 1], [4, 8]], 149/212336640],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 5/73728],
[[[1, 2], [2, 5], [3, 4], [6, 5]], 5/73728],
[[[1, 2], [2, 5], [4, 3], [8, 3]], 893/12582912],
[[[1, 2], [2, 5], [4, 5], [8, 2]], 7153/37748736],
[[[1, 2], [2, 5], [4, 5], [12, 2]], 17/294912],
[[[1, 2], [2, 5], [4, 5], [16, 1]], 5/262144],
[[[1, 2], [2, 5], [4, 5], [20, 1]], 17/81920],
[[[1, 2], [2, 5], [4, 6], [6, 3]], 31/39813120],
[[[1, 2], [2, 5], [4, 7], [6, 2]], 5/5308416],
[[[1, 2], [2, 5], [4, 7], [8, 1]], 63481/3019898880],
[[[1, 2], [2, 5], [4, 7], [10, 1]], 143/44236800],
[[[1, 2], [2, 5], [4, 7], [12, 1]], 1/36864],
[[[1, 2], [2, 5], [4, 8], [6, 1]], 319/424673280],
[[[1, 2], [2, 7], [3, 1], [4, 7]], 14423/203843174400],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 47/829440],
[[[1, 2], [2, 7], [3, 2], [4, 6]], 1/16777216],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 53/276480],
[[[1, 2], [2, 7], [4, 2], [6, 6]], 1/11943936],
[[[1, 2], [2, 7], [4, 2], [8, 3]], 137/62914560],
[[[1, 2], [2, 7], [4, 2], [10, 3]], 1/256000],
[[[1, 2], [2, 7], [4, 3], [6, 5]], 1/2654208],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 1/2359296],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 21161/1132462080],
[[[1, 2], [2, 7], [4, 4], [10, 2]], 1/327680],
[[[1, 2], [2, 7], [4, 4], [12, 2]], 367/26542080],
[[[1, 2], [2, 7], [4, 4], [16, 1]], 3/131072],
[[[1, 2], [2, 7], [4, 4], [20, 1]], 367/7372800],
[[[1, 2], [2, 7], [4, 5], [6, 3]], 5/14155776],
[[[1, 2], [2, 7], [4, 6], [5, 1]], 1/41943040],
[[[1, 2], [2, 7], [4, 6], [6, 2]], 17689/6794772480],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 2842013/135895449600],
[[[1, 2], [2, 7], [4, 6], [10, 1]], 48019/5662310400],
[[[1, 2], [2, 7], [4, 6], [12, 1]], 1061/53084160],
[[[1, 2], [2, 7], [4, 7], [6, 1]], 50141/67947724800],
[[[1, 2], [2, 7], [8, 2], [16, 1]], 31/11796480],
[[[1, 2], [2, 9], [3, 1], [4, 6]], 4081/25480396800],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 55/13436928],
[[[1, 2], [2, 9], [3, 1], [10, 3]], 1/288000],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 37/4478976],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 1/663552],
[[[1, 2], [2, 9], [4, 1], [8, 3]], 7/62914560],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 3/128000],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 19/7962624],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 5/1769472],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 679/377487360],
[[[1, 2], [2, 9], [4, 3], [10, 2]], 7/409600],
[[[1, 2], [2, 9], [4, 3], [12, 2]], 17/39813120],
[[[1, 2], [2, 9], [4, 3], [16, 1]], 11/15728640],
[[[1, 2], [2, 9], [4, 3], [20, 1]], 17/11059200],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 103/56623104],
[[[1, 2], [2, 9], [4, 5], [6, 2]], 85/75497472],
[[[1, 2], [2, 9], [4, 5], [8, 1]], 24403/12079595520],
[[[1, 2], [2, 9], [4, 5], [10, 1]], 169/62914560],
[[[1, 2], [2, 9], [4, 5], [12, 1]], 73/127401984],
[[[1, 2], [2, 9], [4, 6], [6, 1]], 59561/67947724800],
[[[1, 2], [2, 9], [5, 1], [6, 5]], 1/1244160],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 1/96000],
[[[1, 2], [2, 9], [6, 3], [8, 2]], 1/884736],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 1/115200],
[[[1, 2], [2, 9], [6, 5], [8, 1]], 1/663552],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 1/414720],
[[[1, 2], [2, 11], [3, 1], [4, 5]], 71/3623878656],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 493/71663616],
[[[1, 2], [2, 11], [3, 2], [4, 4]], 29/5435817984],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 341/143327232],
[[[1, 2], [2, 11], [3, 2], [10, 2]], 1/11059200],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 47/10616832],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 143/35389440],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 97/603979776],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 277/24576000],
[[[1, 2], [2, 11], [4, 2], [12, 2]], 1/318504960],
[[[1, 2], [2, 11], [4, 2], [16, 1]], 1/35389440],
[[[1, 2], [2, 11], [4, 2], [20, 1]], 1/88473600],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 181/53084160],
[[[1, 2], [2, 11], [4, 4], [5, 1]], 17/7549747200],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 4547/3019898880],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 39871/108716359680],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 3311/1509949440],
[[[1, 2], [2, 11], [4, 4], [12, 1]], 17/637009920],
[[[1, 2], [2, 11], [4, 5], [6, 1]], 701/1207959552],
[[[1, 2], [2, 11], [5, 1], [6, 4]], 17/39813120],
[[[1, 2], [2, 11], [5, 1], [10, 2]], 1/3072000],
[[[1, 2], [2, 11], [6, 2], [8, 2]], 1/3145728],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 83/3686400],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 53/21233664],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 49/4423680],
[[[1, 2], [2, 11], [8, 1], [10, 2]], 1/327680],
[[[1, 2], [2, 11], [8, 1], [16, 1]], 1/141557760],
[[[1, 2], [2, 11], [8, 2], [10, 1]], 1/7864320],
[[[1, 2], [2, 13], [3, 1], [4, 4]], 511/54358179840],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 347/179159040],
[[[1, 2], [2, 13], [3, 1], [10, 2]], 1/13824000],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 67/716636160],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 199/70778880],
[[[1, 2], [2, 13], [4, 1], [8, 2]], 1/201326592],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 119/49152000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 27857/15288238080],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 6839/6794772480],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 13687/241591910400],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 97/209715200],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 1819/6039797760],
[[[1, 2], [2, 13], [5, 1], [6, 3]], 13/199065600],
[[[1, 2], [2, 13], [6, 1], [8, 2]], 1/94371840],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 173/36864000],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 73/106168320],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 443/66355200],
[[[1, 2], [2, 15], [3, 1], [4, 3]], 491/1087163596800],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 9101/68797071360],
[[[1, 2], [2, 15], [3, 2], [4, 2]], 151/4892236185600],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 47/45864714240],
[[[1, 2], [2, 15], [3, 2], [10, 1]], 1/12740198400],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 1909/3397386240],
[[[1, 2], [2, 15], [4, 2], [5, 1]], 31/1358954496000],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 391741/1630745395200],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 2837/724775731200],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 31381/452984832000],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 6179/120795955200],
[[[1, 2], [2, 15], [5, 1], [6, 2]], 29/12740198400],
[[[1, 2], [2, 15], [5, 1], [10, 1]], 1/3538944000],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 299/6794772480],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 1699/2123366400],
[[[1, 2], [2, 15], [8, 1], [10, 1]], 1/125829120],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 1/20132659200],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 4349/1834588569600],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 31/509607936000],
[[[1, 2], [2, 17], [3, 2], [6, 1]], 11/1834588569600],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 1661/54358179840],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 1333/8697308774400],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 391/75497472000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 1339/217432719360],
[[[1, 2], [2, 17], [5, 1], [6, 1]], 11/509607936000],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 191/271790899200],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 1247/56623104000],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 1/521838526464],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 361/29353417113600],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 73/161061273600],
[[[1, 3], [2, 2], [3, 1], [4, 9]], 1/15728640],
[[[1, 3], [2, 2], [3, 2], [4, 8]], 7/106168320],
[[[1, 3], [2, 2], [3, 3], [4, 7]], 1/39813120],
[[[1, 3], [2, 2], [4, 2], [8, 4]], 3/32768],
[[[1, 3], [2, 2], [4, 4], [8, 3]], 459/1048576],
[[[1, 3], [2, 2], [4, 6], [8, 2]], 20341/188743680],
[[[1, 3], [2, 2], [4, 6], [12, 2]], 5/294912],
[[[1, 3], [2, 2], [4, 6], [20, 1]], 1/16384],
[[[1, 3], [2, 2], [4, 8], [5, 1]], 1/9830400],
[[[1, 3], [2, 2], [4, 8], [6, 2]], 1/21233664],
[[[1, 3], [2, 2], [4, 8], [8, 1]], 919/283115520],
[[[1, 3], [2, 2], [4, 8], [10, 1]], 1/29491200],
[[[1, 3], [2, 2], [4, 8], [12, 1]], 5/1179648],
[[[1, 3], [2, 2], [4, 9], [6, 1]], 1/15728640],
[[[1, 3], [2, 2], [8, 3], [16, 1]], 1/8192],
[[[1, 3], [2, 4], [3, 1], [4, 8]], 229/106168320],
[[[1, 3], [2, 4], [3, 2], [4, 7]], 59/39813120],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 11/73728],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 11/73728],
[[[1, 3], [2, 4], [4, 1], [8, 4]], 1/16384],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 28441/37748736],
[[[1, 3], [2, 4], [4, 5], [8, 2]], 12275/18874368],
[[[1, 3], [2, 4], [4, 5], [12, 2]], 1/8192],
[[[1, 3], [2, 4], [4, 5], [16, 1]], 5/131072],
[[[1, 3], [2, 4], [4, 5], [20, 1]], 9/20480],
[[[1, 3], [2, 4], [4, 6], [6, 3]], 31/39813120],
[[[1, 3], [2, 4], [4, 7], [5, 1]], 47/44236800],
[[[1, 3], [2, 4], [4, 7], [6, 2]], 169/79626240],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 160927/3019898880],
[[[1, 3], [2, 4], [4, 7], [10, 1]], 143/44236800],
[[[1, 3], [2, 4], [4, 7], [12, 1]], 11/196608],
[[[1, 3], [2, 4], [4, 8], [6, 1]], 929/424673280],
[[[1, 3], [2, 6], [3, 1], [4, 7]], 17327/2717908992],
[[[1, 3], [2, 6], [3, 2], [4, 6]], 47/150994944],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 353/829440],
[[[1, 3], [2, 6], [3, 3], [4, 5]], 7/42467328],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 13/18432],
[[[1, 3], [2, 6], [4, 2], [6, 6]], 1/35831808],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 871/12582912],
[[[1, 3], [2, 6], [4, 2], [10, 3]], 1/768000],
[[[1, 3], [2, 6], [4, 3], [6, 5]], 1/2654208],
[[[1, 3], [2, 6], [4, 4], [6, 4]], 17/21233664],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 11057/25165824],
[[[1, 3], [2, 6], [4, 4], [10, 2]], 1/327680],
[[[1, 3], [2, 6], [4, 4], [12, 2]], 2219/26542080],
[[[1, 3], [2, 6], [4, 4], [16, 1]], 17/131072],
[[[1, 3], [2, 6], [4, 4], [20, 1]], 2219/7372800],
[[[1, 3], [2, 6], [4, 5], [6, 3]], 137/21233664],
[[[1, 3], [2, 6], [4, 6], [5, 1]], 7/41943040],
[[[1, 3], [2, 6], [4, 6], [6, 2]], 60463/6794772480],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 1301209/9059696640],
[[[1, 3], [2, 6], [4, 6], [10, 1]], 148213/5662310400],
[[[1, 3], [2, 6], [4, 6], [12, 1]], 6037/53084160],
[[[1, 3], [2, 6], [4, 7], [6, 1]], 323969/40768634880],
[[[1, 3], [2, 6], [6, 2], [8, 3]], 1/147456],
[[[1, 3], [2, 6], [8, 2], [16, 1]], 23/786432],
[[[1, 3], [2, 6], [8, 3], [10, 1]], 1/40960],
[[[1, 3], [2, 8], [3, 1], [4, 6]], 61997/50960793600],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 19/4478976],
[[[1, 3], [2, 8], [3, 1], [10, 3]], 1/96000],
[[[1, 3], [2, 8], [3, 2], [4, 5]], 169/226492416],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 13/497664],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 7/373248],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 1/663552],
[[[1, 3], [2, 8], [4, 1], [8, 3]], 137/62914560],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 3/128000],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 119/23887872],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 119/15925248],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 2119/62914560],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 43/1228800],
[[[1, 3], [2, 8], [4, 3], [12, 2]], 529/79626240],
[[[1, 3], [2, 8], [4, 3], [16, 1]], 367/11796480],
[[[1, 3], [2, 8], [4, 3], [20, 1]], 529/22118400],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 1139/169869312],
[[[1, 3], [2, 8], [4, 5], [5, 1]], 23/62914560],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 2485/226492416],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 2411539/36238786560],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 1739/62914560],
[[[1, 3], [2, 8], [4, 5], [12, 1]], 1913/63700992],
[[[1, 3], [2, 8], [4, 6], [6, 1]], 454031/67947724800],
[[[1, 3], [2, 8], [5, 1], [6, 5]], 1/414720],
[[[1, 3], [2, 8], [6, 1], [8, 3]], 1/393216],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 1/288000],
[[[1, 3], [2, 8], [6, 3], [8, 2]], 1/294912],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 1/345600],
[[[1, 3], [2, 8], [6, 5], [8, 1]], 1/663552],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 1/1244160],
[[[1, 3], [2, 10], [3, 1], [4, 5]], 3703/3623878656],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 473/23887872],
[[[1, 3], [2, 10], [3, 2], [4, 4]], 2659/27179089920],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 1225/47775744],
[[[1, 3], [2, 10], [3, 2], [10, 2]], 1/737280],
[[[1, 3], [2, 10], [3, 3], [4, 3]], 1/70778880],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 5/3981312],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 1057/95551488],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 16837/955514880],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 8749/3019898880],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 4067/73728000],
[[[1, 3], [2, 10], [4, 2], [12, 2]], 37/318504960],
[[[1, 3], [2, 10], [4, 2], [16, 1]], 17/17694720],
[[[1, 3], [2, 10], [4, 2], [20, 1]], 37/88473600],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 10087/637009920],
[[[1, 3], [2, 10], [4, 4], [5, 1]], 71/1509949440],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 88483/9059696640],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 775783/108716359680],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 23557/1509949440],
[[[1, 3], [2, 10], [4, 4], [12, 1]], 115/127401984],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 1999/402653184],
[[[1, 3], [2, 10], [5, 1], [6, 4]], 53/13271040],
[[[1, 3], [2, 10], [5, 1], [10, 2]], 1/204800],
[[[1, 3], [2, 10], [6, 2], [8, 2]], 29/9437184],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 109/3686400],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 49/7077888],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 551/39813120],
[[[1, 3], [2, 10], [8, 1], [10, 2]], 19/1638400],
[[[1, 3], [2, 10], [8, 1], [16, 1]], 37/141557760],
[[[1, 3], [2, 10], [8, 2], [10, 1]], 1/524288],
[[[1, 3], [2, 12], [3, 1], [4, 4]], 247/1207959552],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 41/3317760],
[[[1, 3], [2, 12], [3, 1], [10, 2]], 1/768000],
[[[1, 3], [2, 12], [3, 2], [4, 3]], 679/20384317440],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 643/238878720],
[[[1, 3], [2, 12], [3, 3], [6, 2]], 1/39813120],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 12889/955514880],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 67/503316480],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 1061/73728000],
[[[1, 3], [2, 12], [4, 1], [16, 1]], 1/141557760],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 639761/45864714240],
[[[1, 3], [2, 12], [4, 3], [5, 1]], 121/5662310400],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 55447/6794772480],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 836827/724775731200],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 37387/5662310400],
[[[1, 3], [2, 12], [4, 3], [12, 1]], 1/70778880],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 182701/54358179840],
[[[1, 3], [2, 12], [5, 1], [6, 3]], 73/66355200],
[[[1, 3], [2, 12], [6, 1], [8, 2]], 23/94371840],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 571/36864000],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 443/106168320],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 3703/199065600],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 12167/362387865600],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 18589/11466178560],
[[[1, 3], [2, 14], [3, 2], [4, 2]], 2291/1630745395200],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 97/1698693120],
[[[1, 3], [2, 14], [3, 2], [8, 1]], 1/20384317440],
[[[1, 3], [2, 14], [3, 2], [10, 1]], 1/283115520],
[[[1, 3], [2, 14], [3, 3], [4, 1]], 1/30576476160],
[[[1, 3], [2, 14], [3, 3], [6, 1]], 1/7644119040],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 13667/3057647616],
[[[1, 3], [2, 14], [4, 2], [5, 1]], 491/452984832000],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 15471641/4892236185600],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 217601/2174327193600],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 1753921/1358954496000],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 3156143/3261490790400],
[[[1, 3], [2, 14], [5, 1], [6, 2]], 299/4246732800],
[[[1, 3], [2, 14], [5, 1], [8, 1]], 1/5662310400],
[[[1, 3], [2, 14], [5, 1], [10, 1]], 1/78643200],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 1699/3397386240],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 28261/6370099200],
[[[1, 3], [2, 14], [8, 1], [10, 1]], 13/104857600],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 3919/1630745395200],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 32617/611529523200],
[[[1, 3], [2, 16], [3, 1], [8, 1]], 31/815372697600],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 491/169869312000],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 1/18119393280],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 253/611529523200],
[[[1, 3], [2, 16], [4, 1], [5, 1]], 73/679477248000],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 198211/489223618560],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 119629/26091926323200],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 61729/679477248000],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 1436033/9784472371200],
[[[1, 3], [2, 16], [5, 1], [6, 1]], 191/169869312000],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 1247/90596966400],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 110201/509607936000],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 3151/39137889484800],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 1573/3261490790400],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 380303/39137889484800],
[[[1, 3], [3, 2], [4, 3], [8, 3]], 1/147456],
[[[1, 3], [3, 2], [4, 7], [8, 1]], 1/26542080],
[[[1, 3], [3, 3], [4, 2], [12, 3]], 1/3072],
[[[1, 3], [3, 3], [6, 2], [9, 2]], 1/5184],
[[[1, 3], [3, 3], [9, 2], [12, 1]], 1/864],
[[[1, 3], [3, 5], [4, 2], [12, 2]], 1/18432],
[[[1, 3], [3, 5], [5, 1], [15, 1]], 1/1440],
[[[1, 3], [4, 3], [5, 1], [8, 3]], 1/40960],
[[[1, 3], [4, 3], [8, 2], [16, 1]], 3/65536],
[[[1, 3], [4, 5], [8, 1], [12, 2]], 1/49152],
[[[1, 3], [4, 5], [8, 1], [20, 1]], 3/40960],
[[[1, 3], [4, 7], [5, 1], [8, 1]], 1/7372800],
[[[1, 3], [4, 7], [8, 1], [12, 1]], 1/196608],
[[[1, 4], [2, 1], [3, 1], [4, 9]], 1/47185920],
[[[1, 4], [2, 1], [3, 2], [4, 8]], 1/35389440],
[[[1, 4], [2, 1], [3, 3], [4, 7]], 1/39813120],
[[[1, 4], [2, 1], [3, 4], [9, 2]], 1/864],
[[[1, 4], [2, 1], [4, 4], [8, 3]], 107/3145728],
[[[1, 4], [2, 1], [4, 6], [8, 2]], 249/8388608],
[[[1, 4], [2, 1], [4, 6], [12, 2]], 5/589824],
[[[1, 4], [2, 1], [4, 6], [20, 1]], 1/32768],
[[[1, 4], [2, 1], [4, 8], [5, 1]], 1/9830400],
[[[1, 4], [2, 1], [4, 8], [8, 1]], 301/283115520],
[[[1, 4], [2, 1], [4, 8], [12, 1]], 5/2359296],
[[[1, 4], [2, 1], [4, 9], [6, 1]], 1/47185920],
[[[1, 4], [2, 3], [3, 1], [4, 8]], 929/424673280],
[[[1, 4], [2, 3], [3, 2], [4, 7]], 169/79626240],
[[[1, 4], [2, 3], [3, 3], [4, 6]], 31/39813120],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 11/73728],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 11/73728],
[[[1, 4], [2, 3], [4, 1], [8, 4]], 1/16384],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 28441/37748736],
[[[1, 4], [2, 3], [4, 5], [8, 2]], 12275/18874368],
[[[1, 4], [2, 3], [4, 5], [12, 2]], 1/8192],
[[[1, 4], [2, 3], [4, 5], [16, 1]], 5/131072],
[[[1, 4], [2, 3], [4, 5], [20, 1]], 9/20480],
[[[1, 4], [2, 3], [4, 7], [5, 1]], 143/44236800],
[[[1, 4], [2, 3], [4, 7], [6, 2]], 59/39813120],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 160927/3019898880],
[[[1, 4], [2, 3], [4, 7], [10, 1]], 47/44236800],
[[[1, 4], [2, 3], [4, 7], [12, 1]], 11/196608],
[[[1, 4], [2, 3], [4, 8], [6, 1]], 229/106168320],
[[[1, 4], [2, 5], [3, 1], [4, 7]], 55609/2717908992],
[[[1, 4], [2, 5], [3, 2], [4, 6]], 243523/20384317440],
[[[1, 4], [2, 5], [3, 3], [4, 5]], 1/1572864],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 19/18432],
[[[1, 4], [2, 5], [3, 4], [4, 4]], 1/4718592],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 11/9216],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 7145/12582912],
[[[1, 4], [2, 5], [4, 3], [6, 5]], 1/7962624],
[[[1, 4], [2, 5], [4, 4], [5, 2]], 1/3276800],
[[[1, 4], [2, 5], [4, 4], [6, 4]], 29/42467328],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 14195/9437184],
[[[1, 4], [2, 5], [4, 4], [10, 2]], 1/655360],
[[[1, 4], [2, 5], [4, 4], [12, 2]], 2015/10616832],
[[[1, 4], [2, 5], [4, 4], [16, 1]], 9/32768],
[[[1, 4], [2, 5], [4, 4], [20, 1]], 403/589824],
[[[1, 4], [2, 5], [4, 5], [6, 3]], 47/7077888],
[[[1, 4], [2, 5], [4, 6], [5, 1]], 48019/5662310400],
[[[1, 4], [2, 5], [4, 6], [6, 2]], 73505/4076863488],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 3094447/9059696640],
[[[1, 4], [2, 5], [4, 6], [10, 1]], 148213/5662310400],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 10331/42467328],
[[[1, 4], [2, 5], [4, 7], [6, 1]], 874007/40768634880],
[[[1, 4], [2, 5], [6, 2], [8, 3]], 1/147456],
[[[1, 4], [2, 5], [8, 2], [16, 1]], 89/786432],
[[[1, 4], [2, 5], [8, 3], [10, 1]], 1/40960],
[[[1, 4], [2, 7], [3, 1], [4, 6]], 334337/13589544960],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 7/4478976],
[[[1, 4], [2, 7], [3, 1], [10, 3]], 1/96000],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 967/226492416],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 67/1492992],
[[[1, 4], [2, 7], [3, 3], [4, 4]], 281/169869312],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 361/4478976],
[[[1, 4], [2, 7], [3, 3], [10, 2]], 1/345600],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 37/4478976],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 1/1990656],
[[[1, 4], [2, 7], [4, 1], [8, 3]], 395/12582912],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 1/128000],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 35/7962624],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 167/15925248],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 261173/566231040],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 43/1228800],
[[[1, 4], [2, 7], [4, 3], [12, 2]], 3211/79626240],
[[[1, 4], [2, 7], [4, 3], [16, 1]], 2219/11796480],
[[[1, 4], [2, 7], [4, 3], [20, 1]], 3211/22118400],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 479/18874368],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 169/62914560],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 8635/226492416],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 7426189/18119393280],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 5173/62914560],
[[[1, 4], [2, 7], [4, 5], [12, 1]], 56923/318504960],
[[[1, 4], [2, 7], [4, 6], [6, 1]], 1524929/40768634880],
[[[1, 4], [2, 7], [5, 1], [6, 5]], 1/414720],
[[[1, 4], [2, 7], [5, 2], [6, 3]], 1/345600],
[[[1, 4], [2, 7], [6, 1], [8, 3]], 17/1179648],
[[[1, 4], [2, 7], [6, 3], [8, 2]], 7/884736],
[[[1, 4], [2, 7], [6, 5], [8, 1]], 1/1990656],
[[[1, 4], [2, 9], [3, 1], [4, 5]], 9311/1207959552],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 1861/71663616],
[[[1, 4], [2, 9], [3, 2], [4, 4]], 92539/27179089920],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 4199/47775744],
[[[1, 4], [2, 9], [3, 2], [8, 2]], 1/28311552],
[[[1, 4], [2, 9], [3, 2], [10, 2]], 3/409600],
[[[1, 4], [2, 9], [3, 3], [4, 3]], 49/212336640],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 979/35831808],
[[[1, 4], [2, 9], [3, 4], [4, 2]], 17/955514880],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 5/15925248],
[[[1, 4], [2, 9], [3, 4], [10, 1]], 1/39813120],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 5/393216],
[[[1, 4], [2, 9], [4, 2], [5, 2]], 1/36864000],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 577/15925248],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 182153/6039797760],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 23/204800],
[[[1, 4], [2, 9], [4, 2], [12, 2]], 103/79626240],
[[[1, 4], [2, 9], [4, 2], [16, 1]], 529/35389440],
[[[1, 4], [2, 9], [4, 2], [20, 1]], 103/22118400],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 27269/637009920],
[[[1, 4], [2, 9], [4, 4], [5, 1]], 3311/1509949440],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 188849/4529848320],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 11271853/108716359680],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 53711/754974720],
[[[1, 4], [2, 9], [4, 4], [12, 1]], 329/15925248],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 97069/3623878656],
[[[1, 4], [2, 9], [5, 1], [6, 4]], 49/4423680],
[[[1, 4], [2, 9], [5, 1], [8, 2]], 1/7864320],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 137/3072000],
[[[1, 4], [2, 9], [5, 2], [6, 2]], 1/1228800],
[[[1, 4], [2, 9], [5, 2], [10, 1]], 1/3072000],
[[[1, 4], [2, 9], [6, 2], [8, 2]], 11/1048576],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 223/11059200],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 551/63700992],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 343/39813120],
[[[1, 4], [2, 9], [8, 1], [10, 2]], 103/4915200],
[[[1, 4], [2, 9], [8, 1], [16, 1]], 103/35389440],
[[[1, 4], [2, 9], [8, 2], [10, 1]], 73/7864320],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 183029/54358179840],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 10387/286654464],
[[[1, 4], [2, 11], [3, 1], [8, 2]], 1/28311552],
[[[1, 4], [2, 11], [3, 1], [10, 2]], 799/110592000],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 4439/6794772480],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 5641/238878720],
[[[1, 4], [2, 11], [3, 3], [4, 2]], 233/5096079360],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 109/119439360],
[[[1, 4], [2, 11], [3, 3], [10, 1]], 1/24883200],
[[[1, 4], [2, 11], [3, 4], [6, 1]], 1/477757440],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 10081/318504960],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 7867/4529848320],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 3047/73728000],
[[[1, 4], [2, 11], [4, 1], [16, 1]], 37/141557760],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 131839/2548039680],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 97/209715200],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 780791/20384317440],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 5308279/434865438720],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 220057/5662310400],
[[[1, 4], [2, 11], [4, 3], [12, 1]], 7/14155776],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 1069199/54358179840],
[[[1, 4], [2, 11], [5, 1], [6, 3]], 443/66355200],
[[[1, 4], [2, 11], [5, 2], [6, 1]], 1/36864000],
[[[1, 4], [2, 11], [6, 1], [8, 2]], 187/94371840],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 617/22118400],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 3703/318504960],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 1127/39813120],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 2128801/3261490790400],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 109337/11466178560],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 11149/181193932800],
[[[1, 4], [2, 13], [3, 2], [5, 1]], 1/12740198400],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 1619/1528823808],
[[[1, 4], [2, 13], [3, 2], [8, 1]], 1/452984832],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 151/2123366400],
[[[1, 4], [2, 13], [3, 3], [4, 1]], 1/679477248],
[[[1, 4], [2, 13], [3, 3], [6, 1]], 211/22932357120],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 31087/1698693120],
[[[1, 4], [2, 13], [4, 2], [5, 1]], 31381/452984832000],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 6300109/326149079040],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 2875247/2174327193600],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 876877/90596966400],
[[[1, 4], [2, 13], [4, 2], [12, 1]], 1/424673280],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 27850961/3261490790400],
[[[1, 4], [2, 13], [5, 1], [6, 2]], 1699/2123366400],
[[[1, 4], [2, 13], [5, 1], [8, 1]], 1/125829120],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 371/1769472000],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 28261/10192158720],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 57361/4246732800],
[[[1, 4], [2, 13], [8, 1], [10, 1]], 2519/2831155200],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 524303/9784472371200],
[[[1, 4], [2, 15], [3, 1], [5, 1]], 31/509607936000],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 1051649/1834588569600],
[[[1, 4], [2, 15], [3, 1], [8, 1]], 491/271790899200],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 25243/509607936000],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 431/163074539520],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 7487/611529523200],
[[[1, 4], [2, 15], [4, 1], [5, 1]], 391/75497472000],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 151693/54358179840],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 112639/1630745395200],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 531223/679477248000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 5096353/3261490790400],
[[[1, 4], [2, 15], [5, 1], [6, 1]], 1247/56623104000],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 110201/815372697600],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 122123/101921587200],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 80989/39137889484800],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 261407/29353417113600],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 1416479/13045963161600],
[[[1, 5], [2, 2], [3, 1], [4, 8]], 319/424673280],
[[[1, 5], [2, 2], [3, 2], [4, 7]], 5/5308416],
[[[1, 5], [2, 2], [3, 3], [4, 6]], 31/39813120],
[[[1, 5], [2, 2], [3, 5], [6, 4]], 5/73728],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 5/73728],
[[[1, 5], [2, 2], [4, 3], [8, 3]], 893/12582912],
[[[1, 5], [2, 2], [4, 5], [8, 2]], 7153/37748736],
[[[1, 5], [2, 2], [4, 5], [12, 2]], 17/294912],
[[[1, 5], [2, 2], [4, 5], [16, 1]], 5/262144],
[[[1, 5], [2, 2], [4, 5], [20, 1]], 17/81920],
[[[1, 5], [2, 2], [4, 7], [5, 1]], 143/44236800],
[[[1, 5], [2, 2], [4, 7], [8, 1]], 63481/3019898880],
[[[1, 5], [2, 2], [4, 7], [12, 1]], 1/36864],
[[[1, 5], [2, 2], [4, 8], [6, 1]], 149/212336640],
[[[1, 5], [2, 4], [3, 1], [4, 7]], 874007/40768634880],
[[[1, 5], [2, 4], [3, 2], [4, 6]], 73505/4076863488],
[[[1, 5], [2, 4], [3, 2], [8, 3]], 1/147456],
[[[1, 5], [2, 4], [3, 3], [4, 5]], 47/7077888],
[[[1, 5], [2, 4], [3, 4], [4, 4]], 29/42467328],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 11/9216],
[[[1, 5], [2, 4], [3, 5], [4, 3]], 1/7962624],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 19/18432],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 7145/12582912],
[[[1, 5], [2, 4], [4, 4], [5, 2]], 1/655360],
[[[1, 5], [2, 4], [4, 4], [6, 4]], 1/4718592],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 14195/9437184],
[[[1, 5], [2, 4], [4, 4], [10, 2]], 1/3276800],
[[[1, 5], [2, 4], [4, 4], [12, 2]], 2015/10616832],
[[[1, 5], [2, 4], [4, 4], [16, 1]], 9/32768],
[[[1, 5], [2, 4], [4, 4], [20, 1]], 403/589824],
[[[1, 5], [2, 4], [4, 5], [6, 3]], 1/1572864],
[[[1, 5], [2, 4], [4, 6], [5, 1]], 148213/5662310400],
[[[1, 5], [2, 4], [4, 6], [6, 2]], 243523/20384317440],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 3094447/9059696640],
[[[1, 5], [2, 4], [4, 6], [10, 1]], 48019/5662310400],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 10331/42467328],
[[[1, 5], [2, 4], [4, 7], [6, 1]], 55609/2717908992],
[[[1, 5], [2, 4], [5, 1], [8, 3]], 1/40960],
[[[1, 5], [2, 4], [8, 2], [16, 1]], 89/786432],
[[[1, 5], [2, 6], [3, 1], [4, 6]], 366829/4529848320],
[[[1, 5], [2, 6], [3, 1], [6, 6]], 1/13436928],
[[[1, 5], [2, 6], [3, 1], [8, 3]], 19/1179648],
[[[1, 5], [2, 6], [3, 1], [10, 3]], 1/288000],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 8669/226492416],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 127/4478976],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 421/56623104],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 289/1492992],
[[[1, 5], [2, 6], [3, 3], [10, 2]], 1/115200],
[[[1, 5], [2, 6], [3, 4], [4, 3]], 1/497664],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 209/1492992],
[[[1, 5], [2, 6], [3, 5], [6, 2]], 1/746496],
[[[1, 5], [2, 6], [4, 1], [8, 3]], 2261/12582912],
[[[1, 5], [2, 6], [4, 2], [6, 5]], 11/7962624],
[[[1, 5], [2, 6], [4, 3], [5, 2]], 1/307200],
[[[1, 5], [2, 6], [4, 3], [6, 4]], 13/1769472],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 14551/9437184],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 7/409600],
[[[1, 5], [2, 6], [4, 3], [12, 2]], 511/5308416],
[[[1, 5], [2, 6], [4, 3], [16, 1]], 2015/4718592],
[[[1, 5], [2, 6], [4, 3], [20, 1]], 511/1474560],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 1475/56623104],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 1739/62914560],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 14243/226492416],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 17257183/18119393280],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 5173/62914560],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 2125/5308416],
[[[1, 5], [2, 6], [4, 6], [6, 1]], 725683/8153726976],
[[[1, 5], [2, 6], [5, 1], [6, 5]], 1/1244160],
[[[1, 5], [2, 6], [5, 2], [6, 3]], 1/115200],
[[[1, 5], [2, 6], [6, 1], [8, 3]], 11/393216],
[[[1, 5], [2, 6], [6, 3], [8, 2]], 5/884736],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 35801/603979776],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 1237/71663616],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 546793/27179089920],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 23483/143327232],
[[[1, 5], [2, 8], [3, 2], [8, 2]], 5/9437184],
[[[1, 5], [2, 8], [3, 2], [10, 2]], 223/11059200],
[[[1, 5], [2, 8], [3, 3], [4, 3]], 1129/212336640],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 1703/11943936],
[[[1, 5], [2, 8], [3, 4], [4, 2]], 29/106168320],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 337/47775744],
[[[1, 5], [2, 8], [3, 4], [8, 1]], 1/63700992],
[[[1, 5], [2, 8], [3, 4], [10, 1]], 1/2654208],
[[[1, 5], [2, 8], [3, 5], [4, 1]], 1/95551488],
[[[1, 5], [2, 8], [3, 5], [6, 1]], 1/23887872],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 679/95551488],
[[[1, 5], [2, 8], [4, 2], [5, 2]], 1/2048000],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 199/5308416],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 92723/402653184],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 23/204800],
[[[1, 5], [2, 8], [4, 2], [12, 2]], 469/79626240],
[[[1, 5], [2, 8], [4, 2], [16, 1]], 3211/35389440],
[[[1, 5], [2, 8], [4, 2], [20, 1]], 469/22118400],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 3371/42467328],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 23557/1509949440],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 33013/301989888],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 30936743/54358179840],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 652121/3774873600],
[[[1, 5], [2, 8], [4, 4], [12, 1]], 19853/159252480],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 182203/1811939328],
[[[1, 5], [2, 8], [5, 1], [6, 4]], 551/39813120],
[[[1, 5], [2, 8], [5, 1], [8, 2]], 1/524288],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 221/1024000],
[[[1, 5], [2, 8], [5, 2], [6, 2]], 29/3686400],
[[[1, 5], [2, 8], [5, 2], [8, 1]], 1/4915200],
[[[1, 5], [2, 8], [5, 2], [10, 1]], 1/204800],
[[[1, 5], [2, 8], [6, 2], [8, 2]], 221/9437184],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 3/409600],
[[[1, 5], [2, 8], [6, 4], [8, 1]], 343/63700992],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 7/2654208],
[[[1, 5], [2, 8], [8, 1], [10, 2]], 103/4915200],
[[[1, 5], [2, 8], [8, 1], [16, 1]], 469/35389440],
[[[1, 5], [2, 8], [8, 2], [10, 1]], 43/1572864],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 400873/18119393280],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 83233/1433272320],
[[[1, 5], [2, 10], [3, 1], [8, 2]], 103/141557760],
[[[1, 5], [2, 10], [3, 1], [10, 2]], 2153/110592000],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 50327/6794772480],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 65959/716636160],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 4363/5096079360],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 451/39813120],
[[[1, 5], [2, 10], [3, 3], [8, 1]], 1/39813120],
[[[1, 5], [2, 10], [3, 3], [10, 1]], 1/1382400],
[[[1, 5], [2, 10], [3, 4], [4, 1]], 17/637009920],
[[[1, 5], [2, 10], [3, 4], [6, 1]], 11/95551488],
[[[1, 5], [2, 10], [4, 1], [5, 2]], 19/147456000],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 1973/47775744],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 107339/9059696640],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 5/73728],
[[[1, 5], [2, 10], [4, 1], [16, 1]], 103/35389440],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 264869/2548039680],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 37387/5662310400],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 42563/377487360],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 39687049/434865438720],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 121549/943718400],
[[[1, 5], [2, 10], [4, 3], [12, 1]], 49/7077888],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 446791/6039797760],
[[[1, 5], [2, 10], [5, 1], [6, 3]], 3703/199065600],
[[[1, 5], [2, 10], [5, 2], [6, 1]], 23/36864000],
[[[1, 5], [2, 10], [6, 1], [8, 2]], 17/2097152],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 221/7372800],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 1127/63700992],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 113/4423680],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 3851959/652298158080],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 2104031/68797071360],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 5026081/4892236185600],
[[[1, 5], [2, 12], [3, 2], [5, 1]], 1/283115520],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 39665/4586471424],
[[[1, 5], [2, 12], [3, 2], [8, 1]], 151/3397386240],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 4649/6370099200],
[[[1, 5], [2, 12], [3, 3], [4, 1]], 139/3057647616],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 779/3822059520],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 1331819/30576476160],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 1753921/1358954496000],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 21300403/326149079040],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 4081769/434865438720],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 3450227/90596966400],
[[[1, 5], [2, 12], [4, 2], [12, 1]], 37/424673280],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 2969071/72477573120],
[[[1, 5], [2, 12], [5, 1], [6, 2]], 28261/6370099200],
[[[1, 5], [2, 12], [5, 1], [8, 1]], 13/104857600],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 3259/1769472000],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 57361/6794772480],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 35399/1415577600],
[[[1, 5], [2, 12], [8, 1], [10, 1]], 19003/5662310400],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 423647/652298158080],
[[[1, 5], [2, 14], [3, 1], [5, 1]], 491/169869312000],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 6230471/1834588569600],
[[[1, 5], [2, 14], [3, 1], [8, 1]], 25243/815372697600],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 210061/509607936000],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 7/134217728],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 329819/1834588569600],
[[[1, 5], [2, 14], [4, 1], [5, 1]], 61729/679477248000],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 5530423/489223618560],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 76417/135895449600],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 103117/27179089920],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 3263863/362387865600],
[[[1, 5], [2, 14], [5, 1], [6, 1]], 110201/509607936000],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 122123/163074539520],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 137359/33973862400],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 4139/135895449600],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 332219/3669177139200],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 876997/1223059046400],
[[[1, 5], [3, 1], [4, 3], [8, 3]], 1/393216],
[[[1, 5], [3, 1], [4, 7], [8, 1]], 1/106168320],
[[[1, 5], [3, 2], [4, 4], [8, 2]], 5/2359296],
[[[1, 5], [3, 2], [4, 4], [12, 2]], 1/165888],
[[[1, 5], [3, 2], [4, 4], [20, 1]], 1/46080],
[[[1, 5], [3, 2], [4, 6], [12, 1]], 1/663552],
[[[1, 5], [3, 4], [4, 2], [12, 2]], 1/9216],
[[[1, 5], [3, 4], [5, 1], [15, 1]], 1/720],
[[[1, 5], [3, 5], [6, 2], [9, 1]], 1/20736],
[[[1, 5], [3, 5], [9, 1], [12, 1]], 1/3456],
[[[1, 5], [4, 4], [5, 1], [8, 2]], 1/131072],
[[[1, 5], [4, 4], [5, 1], [12, 2]], 1/46080],
[[[1, 5], [4, 4], [5, 1], [20, 1]], 1/12800],
[[[1, 5], [4, 4], [8, 1], [16, 1]], 1/262144],
[[[1, 5], [4, 6], [5, 1], [12, 1]], 1/184320],
[[[1, 6], [2, 1], [3, 1], [4, 8]], 1/47185920],
[[[1, 6], [2, 1], [3, 2], [4, 7]], 1/3317760],
[[[1, 6], [2, 1], [3, 6], [6, 3]], 31/3317760],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 1/3456],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 31/3317760],
[[[1, 6], [2, 1], [4, 3], [8, 3]], 137/188743680],
[[[1, 6], [2, 1], [4, 5], [8, 2]], 67/12582912],
[[[1, 6], [2, 1], [4, 5], [12, 2]], 1/98304],
[[[1, 6], [2, 1], [4, 5], [16, 1]], 1/262144],
[[[1, 6], [2, 1], [4, 5], [20, 1]], 3/81920],
[[[1, 6], [2, 1], [4, 7], [5, 1]], 47/44236800],
[[[1, 6], [2, 1], [4, 7], [8, 1]], 316823/135895449600],
[[[1, 6], [2, 1], [4, 7], [12, 1]], 1/196608],
[[[1, 6], [2, 3], [3, 1], [4, 7]], 323969/40768634880],
[[[1, 6], [2, 3], [3, 2], [4, 6]], 60463/6794772480],
[[[1, 6], [2, 3], [3, 2], [8, 3]], 1/147456],
[[[1, 6], [2, 3], [3, 3], [4, 5]], 137/21233664],
[[[1, 6], [2, 3], [3, 4], [4, 4]], 17/21233664],
[[[1, 6], [2, 3], [3, 5], [4, 3]], 1/2654208],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 13/18432],
[[[1, 6], [2, 3], [3, 6], [4, 2]], 1/35831808],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 353/829440],
[[[1, 6], [2, 3], [4, 2], [5, 3]], 1/768000],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 871/12582912],
[[[1, 6], [2, 3], [4, 4], [5, 2]], 1/327680],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 11057/25165824],
[[[1, 6], [2, 3], [4, 4], [12, 2]], 2219/26542080],
[[[1, 6], [2, 3], [4, 4], [16, 1]], 17/131072],
[[[1, 6], [2, 3], [4, 4], [20, 1]], 2219/7372800],
[[[1, 6], [2, 3], [4, 5], [6, 3]], 7/42467328],
[[[1, 6], [2, 3], [4, 6], [5, 1]], 148213/5662310400],
[[[1, 6], [2, 3], [4, 6], [6, 2]], 47/150994944],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 1301209/9059696640],
[[[1, 6], [2, 3], [4, 6], [10, 1]], 7/41943040],
[[[1, 6], [2, 3], [4, 6], [12, 1]], 6037/53084160],
[[[1, 6], [2, 3], [4, 7], [6, 1]], 17327/2717908992],
[[[1, 6], [2, 3], [5, 1], [8, 3]], 1/40960],
[[[1, 6], [2, 3], [8, 2], [16, 1]], 23/786432],
[[[1, 6], [2, 5], [3, 1], [4, 6]], 725683/8153726976],
[[[1, 6], [2, 5], [3, 1], [8, 3]], 11/393216],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 14243/226492416],
[[[1, 6], [2, 5], [3, 2], [6, 5]], 1/746496],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 1475/56623104],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 209/1492992],
[[[1, 6], [2, 5], [3, 3], [8, 2]], 5/884736],
[[[1, 6], [2, 5], [3, 3], [10, 2]], 1/115200],
[[[1, 6], [2, 5], [3, 4], [4, 3]], 13/1769472],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 289/1492992],
[[[1, 6], [2, 5], [3, 5], [4, 2]], 11/7962624],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 127/4478976],
[[[1, 6], [2, 5], [3, 5], [10, 1]], 1/1244160],
[[[1, 6], [2, 5], [3, 6], [6, 1]], 1/13436928],
[[[1, 6], [2, 5], [4, 1], [8, 3]], 2261/12582912],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 7/409600],
[[[1, 6], [2, 5], [4, 3], [6, 4]], 1/497664],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 14551/9437184],
[[[1, 6], [2, 5], [4, 3], [10, 2]], 1/307200],
[[[1, 6], [2, 5], [4, 3], [12, 2]], 511/5308416],
[[[1, 6], [2, 5], [4, 3], [16, 1]], 2015/4718592],
[[[1, 6], [2, 5], [4, 3], [20, 1]], 511/1474560],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 421/56623104],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 5173/62914560],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 8669/226492416],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 17257183/18119393280],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 1739/62914560],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 2125/5308416],
[[[1, 6], [2, 5], [4, 6], [6, 1]], 366829/4529848320],
[[[1, 6], [2, 5], [5, 2], [6, 3]], 1/115200],
[[[1, 6], [2, 5], [5, 3], [6, 1]], 1/288000],
[[[1, 6], [2, 5], [6, 1], [8, 3]], 19/1179648],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 177349/1006632960],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 137/23887872],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 234439/2717908992],
[[[1, 6], [2, 7], [3, 2], [5, 2]], 1/11059200],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 6929/47775744],
[[[1, 6], [2, 7], [3, 2], [8, 2]], 193/28311552],
[[[1, 6], [2, 7], [3, 2], [10, 2]], 109/3686400],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 5723/212336640],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 11899/35831808],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 1367/318504960],
[[[1, 6], [2, 7], [3, 4], [5, 1]], 1/39813120],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 31/589824],
[[[1, 6], [2, 7], [3, 4], [8, 1]], 5/21233664],
[[[1, 6], [2, 7], [3, 4], [10, 1]], 7/2654208],
[[[1, 6], [2, 7], [3, 5], [4, 1]], 5/31850496],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 61/71663616],
[[[1, 6], [2, 7], [4, 1], [6, 5]], 169/95551488],
[[[1, 6], [2, 7], [4, 2], [5, 2]], 277/24576000],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 18437/955514880],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 3225013/4529848320],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 4067/73728000],
[[[1, 6], [2, 7], [4, 2], [12, 2]], 41/3538944],
[[[1, 6], [2, 7], [4, 2], [16, 1]], 511/2359296],
[[[1, 6], [2, 7], [4, 2], [20, 1]], 41/983040],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 9071/127401984],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 53711/754974720],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 1976321/13589544960],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 1575841/1207959552],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 652121/3774873600],
[[[1, 6], [2, 7], [4, 4], [12, 1]], 1025/3538944],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 1828381/9059696640],
[[[1, 6], [2, 7], [5, 1], [6, 4]], 343/39813120],
[[[1, 6], [2, 7], [5, 1], [8, 2]], 73/7864320],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 221/1024000],
[[[1, 6], [2, 7], [5, 2], [6, 2]], 83/3686400],
[[[1, 6], [2, 7], [5, 2], [8, 1]], 1/327680],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 137/3072000],
[[[1, 6], [2, 7], [6, 2], [8, 2]], 623/28311552],
[[[1, 6], [2, 7], [6, 2], [10, 2]], 1/737280],
[[[1, 6], [2, 7], [6, 4], [8, 1]], 35/21233664],
[[[1, 6], [2, 7], [6, 4], [10, 1]], 1/2654208],
[[[1, 6], [2, 7], [8, 1], [10, 2]], 19/1638400],
[[[1, 6], [2, 7], [8, 1], [16, 1]], 41/1572864],
[[[1, 6], [2, 7], [8, 2], [10, 1]], 43/1572864],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 2783683/27179089920],
[[[1, 6], [2, 9], [3, 1], [5, 2]], 1/13824000],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 5645/95551488],
[[[1, 6], [2, 9], [3, 1], [8, 2]], 1369/283115520],
[[[1, 6], [2, 9], [3, 1], [10, 2]], 221/7372800],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 797911/20384317440],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 1783/8847360],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 116017/15288238080],
[[[1, 6], [2, 9], [3, 3], [5, 1]], 1/24883200],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 1547/26542080],
[[[1, 6], [2, 9], [3, 3], [8, 1]], 1/2211840],
[[[1, 6], [2, 9], [3, 3], [10, 1]], 889/199065600],
[[[1, 6], [2, 9], [3, 4], [4, 1]], 311/637009920],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 283/159252480],
[[[1, 6], [2, 9], [4, 1], [5, 2]], 119/49152000],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 1511/47775744],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 158957/3019898880],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 5/73728],
[[[1, 6], [2, 9], [4, 1], [16, 1]], 469/35389440],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 967847/7644119040],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 220057/5662310400],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 244003/1132462080],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 892331107/2174327193600],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 726893/2831155200],
[[[1, 6], [2, 9], [4, 3], [12, 1]], 461/11796480],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 1052741/5435817984],
[[[1, 6], [2, 9], [5, 1], [6, 3]], 1127/39813120],
[[[1, 6], [2, 9], [5, 2], [6, 1]], 173/36864000],
[[[1, 6], [2, 9], [6, 1], [8, 2]], 1123/56623104],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 2153/110592000],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 113/7077888],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 2783/199065600],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 6480643/217432719360],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 464263/7644119040],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 2591333/326149079040],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 151/2123366400],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 115331/3057647616],
[[[1, 6], [2, 11], [3, 2], [8, 1]], 4649/10192158720],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 16469/4246732800],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 9887/15288238080],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 7847/3822059520],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 397051/6115295232],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 876877/90596966400],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 222973049/1630745395200],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 19344359/434865438720],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 126816707/1358954496000],
[[[1, 6], [2, 11], [4, 2], [12, 1]], 103/106168320],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 79389049/652298158080],
[[[1, 6], [2, 11], [5, 1], [6, 2]], 57361/4246732800],
[[[1, 6], [2, 11], [5, 1], [8, 1]], 2519/2831155200],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 35483/3538944000],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 35399/2264924160],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 10559/353894400],
[[[1, 6], [2, 11], [8, 1], [10, 1]], 14429/1887436800],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 14510549/3261490790400],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 25243/509607936000],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 299011/24461180928],
[[[1, 6], [2, 13], [3, 1], [8, 1]], 210061/815372697600],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 21703/11324620800],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 17683/32614907904],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 867047/611529523200],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 531223/679477248000],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 14245729/489223618560],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 9076771/3261490790400],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 62495/5435817984],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 311367379/9784472371200],
[[[1, 6], [2, 13], [5, 1], [6, 1]], 122123/101921587200],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 137359/54358179840],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 168361/18874368000],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 640693/2446118092800],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 678533/1223059046400],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 7386281/2446118092800],
[[[1, 7], [2, 2], [3, 1], [4, 7]], 50141/67947724800],
[[[1, 7], [2, 2], [3, 2], [4, 6]], 17689/6794772480],
[[[1, 7], [2, 2], [3, 3], [4, 5]], 5/14155776],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 1/2359296],
[[[1, 7], [2, 2], [3, 5], [4, 3]], 1/2654208],
[[[1, 7], [2, 2], [3, 6], [4, 2]], 1/11943936],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 53/276480],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 47/829440],
[[[1, 7], [2, 2], [4, 2], [5, 3]], 1/256000],
[[[1, 7], [2, 2], [4, 2], [8, 3]], 137/62914560],
[[[1, 7], [2, 2], [4, 4], [5, 2]], 1/327680],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 21161/1132462080],
[[[1, 7], [2, 2], [4, 4], [12, 2]], 367/26542080],
[[[1, 7], [2, 2], [4, 4], [16, 1]], 3/131072],
[[[1, 7], [2, 2], [4, 4], [20, 1]], 367/7372800],
[[[1, 7], [2, 2], [4, 6], [5, 1]], 48019/5662310400],
[[[1, 7], [2, 2], [4, 6], [6, 2]], 1/16777216],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 2842013/135895449600],
[[[1, 7], [2, 2], [4, 6], [10, 1]], 1/41943040],
[[[1, 7], [2, 2], [4, 6], [12, 1]], 1061/53084160],
[[[1, 7], [2, 2], [4, 7], [6, 1]], 14423/203843174400],
[[[1, 7], [2, 2], [8, 2], [16, 1]], 31/11796480],
[[[1, 7], [2, 4], [3, 1], [4, 6]], 1524929/40768634880],
[[[1, 7], [2, 4], [3, 1], [8, 3]], 17/1179648],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 8635/226492416],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 479/18874368],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 37/4478976],
[[[1, 7], [2, 4], [3, 3], [8, 2]], 7/884736],
[[[1, 7], [2, 4], [3, 3], [10, 2]], 1/345600],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 167/15925248],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 361/4478976],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 35/7962624],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 67/1492992],
[[[1, 7], [2, 4], [3, 5], [8, 1]], 1/1990656],
[[[1, 7], [2, 4], [3, 5], [10, 1]], 1/414720],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 1/1990656],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 7/4478976],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 1/128000],
[[[1, 7], [2, 4], [4, 1], [8, 3]], 395/12582912],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 43/1228800],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 261173/566231040],
[[[1, 7], [2, 4], [4, 3], [12, 2]], 3211/79626240],
[[[1, 7], [2, 4], [4, 3], [16, 1]], 2219/11796480],
[[[1, 7], [2, 4], [4, 3], [20, 1]], 3211/22118400],
[[[1, 7], [2, 4], [4, 4], [6, 3]], 281/169869312],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 5173/62914560],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 967/226492416],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 7426189/18119393280],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 169/62914560],
[[[1, 7], [2, 4], [4, 5], [12, 1]], 56923/318504960],
[[[1, 7], [2, 4], [4, 6], [6, 1]], 334337/13589544960],
[[[1, 7], [2, 4], [5, 2], [6, 3]], 1/345600],
[[[1, 7], [2, 4], [5, 3], [6, 1]], 1/96000],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 1828381/9059696640],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 61/71663616],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 1976321/13589544960],
[[[1, 7], [2, 6], [3, 2], [5, 2]], 1/737280],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 31/589824],
[[[1, 7], [2, 6], [3, 2], [8, 2]], 623/28311552],
[[[1, 7], [2, 6], [3, 2], [10, 2]], 83/3686400],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 9071/127401984],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 11899/35831808],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 18437/955514880],
[[[1, 7], [2, 6], [3, 4], [5, 1]], 1/2654208],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 6929/47775744],
[[[1, 7], [2, 6], [3, 4], [8, 1]], 35/21233664],
[[[1, 7], [2, 6], [3, 4], [10, 1]], 343/39813120],
[[[1, 7], [2, 6], [3, 5], [4, 1]], 169/95551488],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 137/23887872],
[[[1, 7], [2, 6], [4, 1], [6, 5]], 5/31850496],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 4067/73728000],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 1367/318504960],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 3225013/4529848320],
[[[1, 7], [2, 6], [4, 2], [10, 2]], 277/24576000],
[[[1, 7], [2, 6], [4, 2], [12, 2]], 41/3538944],
[[[1, 7], [2, 6], [4, 2], [16, 1]], 511/2359296],
[[[1, 7], [2, 6], [4, 2], [20, 1]], 41/983040],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 5723/212336640],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 652121/3774873600],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 234439/2717908992],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 1575841/1207959552],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 53711/754974720],
[[[1, 7], [2, 6], [4, 4], [12, 1]], 1025/3538944],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 177349/1006632960],
[[[1, 7], [2, 6], [5, 1], [6, 4]], 7/2654208],
[[[1, 7], [2, 6], [5, 1], [8, 2]], 43/1572864],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 137/3072000],
[[[1, 7], [2, 6], [5, 2], [6, 2]], 109/3686400],
[[[1, 7], [2, 6], [5, 2], [8, 1]], 19/1638400],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 221/1024000],
[[[1, 7], [2, 6], [6, 2], [8, 2]], 193/28311552],
[[[1, 7], [2, 6], [6, 2], [10, 2]], 1/11059200],
[[[1, 7], [2, 6], [6, 4], [8, 1]], 5/21233664],
[[[1, 7], [2, 6], [6, 4], [10, 1]], 1/39813120],
[[[1, 7], [2, 6], [8, 1], [10, 2]], 1/327680],
[[[1, 7], [2, 6], [8, 1], [16, 1]], 41/1572864],
[[[1, 7], [2, 6], [8, 2], [10, 1]], 73/7864320],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 3514919/13589544960],
[[[1, 7], [2, 8], [3, 1], [5, 2]], 1/768000],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 50861/1433272320],
[[[1, 7], [2, 8], [3, 1], [8, 2]], 4223/283115520],
[[[1, 7], [2, 8], [3, 1], [10, 2]], 617/22118400],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 446507/3397386240],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 1391/5308416],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 172169/5096079360],
[[[1, 7], [2, 8], [3, 3], [5, 1]], 1/1382400],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 529/2949120],
[[[1, 7], [2, 8], [3, 3], [8, 1]], 889/318504960],
[[[1, 7], [2, 8], [3, 3], [10, 1]], 2783/199065600],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 3529/955514880],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 4987/477757440],
[[[1, 7], [2, 8], [4, 1], [5, 2]], 1061/73728000],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 4561/318504960],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 307813/2264924160],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 3047/73728000],
[[[1, 7], [2, 8], [4, 1], [16, 1]], 41/1572864],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 227239/2548039680],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 121549/943718400],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 791129/3397386240],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 654242047/724775731200],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 726893/2831155200],
[[[1, 7], [2, 8], [4, 3], [12, 1]], 317/3538944],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 1693139/5435817984],
[[[1, 7], [2, 8], [5, 1], [6, 3]], 113/4423680],
[[[1, 7], [2, 8], [5, 2], [6, 1]], 571/36864000],
[[[1, 7], [2, 8], [6, 1], [8, 2]], 1373/56623104],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 799/110592000],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 2783/318504960],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 889/199065600],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 37969243/362387865600],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 481367/5733089280],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 11112619/326149079040],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 4649/6370099200],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 34703/339738624],
[[[1, 7], [2, 10], [3, 2], [8, 1]], 16469/6794772480],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 51073/4246732800],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 45097/10192158720],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 241849/22932357120],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 162931/2548039680],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 3450227/90596966400],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 105035389/543581798400],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 327136829/2174327193600],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 70936927/452984832000],
[[[1, 7], [2, 10], [4, 2], [12, 1]], 469/106168320],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 263316769/1087163596800],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 35399/1415577600],
[[[1, 7], [2, 10], [5, 1], [8, 1]], 19003/5662310400],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 118327/3538944000],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 31741/1698693120],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 24889/1061683200],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 16261/1415577600],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 184486097/9784472371200],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 210061/509607936000],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 54366407/1834588569600],
[[[1, 7], [2, 12], [3, 1], [8, 1]], 21703/18119393280],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 565073/101921587200],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 526613/163074539520],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 18001/2717908992],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 103117/27179089920],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 8250797/163074539520],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 31299659/3261490790400],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 16089341/679477248000],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 246150703/3261490790400],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 137359/33973862400],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 1517809/271790899200],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 6872941/509607936000],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 2276603/1630745395200],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 4043867/1834588569600],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 14044627/1630745395200],
[[[1, 7], [3, 1], [4, 4], [8, 2]], 1/1179648],
[[[1, 7], [3, 1], [4, 4], [12, 2]], 1/663552],
[[[1, 7], [3, 1], [4, 4], [20, 1]], 1/184320],
[[[1, 7], [3, 1], [4, 6], [12, 1]], 1/2654208],
[[[1, 7], [3, 2], [4, 5], [8, 1]], 1/9437184],
[[[1, 7], [3, 3], [4, 2], [8, 2]], 1/884736],
[[[1, 7], [3, 4], [4, 3], [8, 1]], 1/5308416],
[[[1, 7], [4, 1], [8, 2], [16, 1]], 1/11796480],
[[[1, 7], [4, 3], [5, 2], [8, 1]], 1/409600],
[[[1, 7], [4, 3], [8, 1], [12, 2]], 1/26542080],
[[[1, 7], [4, 3], [8, 1], [20, 1]], 1/7372800],
[[[1, 7], [4, 5], [5, 1], [8, 1]], 1/2621440],
[[[1, 7], [4, 5], [8, 1], [12, 1]], 1/106168320],
[[[1, 8], [2, 1], [3, 1], [4, 7]], 1897/22649241600],
[[[1, 8], [2, 1], [3, 2], [4, 6]], 7/150994944],
[[[1, 8], [2, 1], [3, 3], [4, 5]], 1/14155776],
[[[1, 8], [2, 1], [3, 4], [4, 4]], 5/42467328],
[[[1, 8], [2, 1], [3, 5], [4, 3]], 1/7962624],
[[[1, 8], [2, 1], [3, 6], [4, 2]], 1/11943936],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 17/829440],
[[[1, 8], [2, 1], [4, 2], [5, 3]], 1/256000],
[[[1, 8], [2, 1], [4, 2], [8, 3]], 7/62914560],
[[[1, 8], [2, 1], [4, 4], [5, 2]], 1/655360],
[[[1, 8], [2, 1], [4, 4], [8, 2]], 371/1132462080],
[[[1, 8], [2, 1], [4, 4], [12, 2]], 11/35389440],
[[[1, 8], [2, 1], [4, 4], [20, 1]], 11/9830400],
[[[1, 8], [2, 1], [4, 6], [5, 1]], 7/41943040],
[[[1, 8], [2, 1], [4, 6], [8, 1]], 33323/135895449600],
[[[1, 8], [2, 1], [4, 6], [12, 1]], 11/141557760],
[[[1, 8], [2, 1], [4, 7], [6, 1]], 2033/203843174400],
[[[1, 8], [2, 1], [8, 2], [16, 1]], 1/11796480],
[[[1, 8], [2, 3], [3, 1], [4, 6]], 454031/67947724800],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 1/288000],
[[[1, 8], [2, 3], [3, 1], [8, 3]], 1/393216],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 2485/226492416],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 1139/169869312],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 1/345600],
[[[1, 8], [2, 3], [3, 3], [8, 2]], 1/294912],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 119/15925248],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 7/373248],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 119/23887872],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 1/1244160],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 13/497664],
[[[1, 8], [2, 3], [3, 5], [8, 1]], 1/663552],
[[[1, 8], [2, 3], [3, 5], [10, 1]], 1/414720],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 1/663552],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 19/4478976],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 3/128000],
[[[1, 8], [2, 3], [4, 1], [8, 3]], 137/62914560],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 43/1228800],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 2119/62914560],
[[[1, 8], [2, 3], [4, 3], [12, 2]], 529/79626240],
[[[1, 8], [2, 3], [4, 3], [16, 1]], 367/11796480],
[[[1, 8], [2, 3], [4, 3], [20, 1]], 529/22118400],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 1739/62914560],
[[[1, 8], [2, 3], [4, 5], [6, 2]], 169/226492416],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 2411539/36238786560],
[[[1, 8], [2, 3], [4, 5], [10, 1]], 23/62914560],
[[[1, 8], [2, 3], [4, 5], [12, 1]], 1913/63700992],
[[[1, 8], [2, 3], [4, 6], [6, 1]], 61997/50960793600],
[[[1, 8], [2, 3], [5, 3], [6, 1]], 1/96000],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 182203/1811939328],
[[[1, 8], [2, 5], [3, 1], [6, 5]], 1/23887872],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 33013/301989888],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 3/409600],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 337/47775744],
[[[1, 8], [2, 5], [3, 2], [8, 2]], 221/9437184],
[[[1, 8], [2, 5], [3, 2], [10, 2]], 29/3686400],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 3371/42467328],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 1703/11943936],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 199/5308416],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 7/2654208],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 23483/143327232],
[[[1, 8], [2, 5], [3, 4], [8, 1]], 343/63700992],
[[[1, 8], [2, 5], [3, 4], [10, 1]], 551/39813120],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 679/95551488],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 1237/71663616],
[[[1, 8], [2, 5], [4, 1], [6, 5]], 1/95551488],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 23/204800],
[[[1, 8], [2, 5], [4, 2], [6, 4]], 29/106168320],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 92723/402653184],
[[[1, 8], [2, 5], [4, 2], [10, 2]], 1/2048000],
[[[1, 8], [2, 5], [4, 2], [12, 2]], 469/79626240],
[[[1, 8], [2, 5], [4, 2], [16, 1]], 3211/35389440],
[[[1, 8], [2, 5], [4, 2], [20, 1]], 469/22118400],
[[[1, 8], [2, 5], [4, 3], [6, 3]], 1129/212336640],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 652121/3774873600],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 546793/27179089920],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 30936743/54358179840],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 23557/1509949440],
[[[1, 8], [2, 5], [4, 4], [12, 1]], 19853/159252480],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 35801/603979776],
[[[1, 8], [2, 5], [5, 1], [6, 4]], 1/2654208],
[[[1, 8], [2, 5], [5, 1], [8, 2]], 43/1572864],
[[[1, 8], [2, 5], [5, 1], [10, 2]], 1/204800],
[[[1, 8], [2, 5], [5, 2], [6, 2]], 223/11059200],
[[[1, 8], [2, 5], [5, 2], [8, 1]], 103/4915200],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 221/1024000],
[[[1, 8], [2, 5], [6, 2], [8, 2]], 5/9437184],
[[[1, 8], [2, 5], [6, 4], [8, 1]], 1/63700992],
[[[1, 8], [2, 5], [8, 1], [10, 2]], 1/4915200],
[[[1, 8], [2, 5], [8, 1], [16, 1]], 469/35389440],
[[[1, 8], [2, 5], [8, 2], [10, 1]], 1/524288],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 1693139/5435817984],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 799/110592000],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 4987/477757440],
[[[1, 8], [2, 7], [3, 1], [8, 2]], 1373/56623104],
[[[1, 8], [2, 7], [3, 1], [10, 2]], 571/36864000],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 791129/3397386240],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 529/2949120],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 227239/2548039680],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 889/199065600],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 1391/5308416],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 2783/318504960],
[[[1, 8], [2, 7], [3, 3], [10, 1]], 113/4423680],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 4561/318504960],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 50861/1433272320],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 3047/73728000],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 3529/955514880],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 307813/2264924160],
[[[1, 8], [2, 7], [4, 1], [10, 2]], 1061/73728000],
[[[1, 8], [2, 7], [4, 1], [16, 1]], 41/1572864],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 172169/5096079360],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 726893/2831155200],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 446507/3397386240],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 654242047/724775731200],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 121549/943718400],
[[[1, 8], [2, 7], [4, 3], [12, 1]], 317/3538944],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 3514919/13589544960],
[[[1, 8], [2, 7], [5, 1], [6, 3]], 2783/199065600],
[[[1, 8], [2, 7], [5, 2], [6, 1]], 617/22118400],
[[[1, 8], [2, 7], [6, 1], [8, 2]], 4223/283115520],
[[[1, 8], [2, 7], [6, 1], [10, 2]], 1/768000],
[[[1, 8], [2, 7], [6, 3], [8, 1]], 889/318504960],
[[[1, 8], [2, 7], [6, 3], [10, 1]], 1/1382400],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 774642701/3261490790400],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 9199/127401984],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 157326289/1630745395200],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 16469/4246732800],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 225631/1274019840],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 51073/6794772480],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 24889/1061683200],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 104171/6115295232],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 89497/2548039680],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 63325/1528823808],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 126816707/1358954496000],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 3519167/20132659200],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 646890707/2174327193600],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 70936927/452984832000],
[[[1, 8], [2, 9], [4, 2], [12, 1]], 41/4718592],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 338215807/1087163596800],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 10559/353894400],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 14429/1887436800],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 52969/884736000],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 24953/1698693120],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 51073/4246732800],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 16261/1415577600],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 178507169/3261490790400],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 21703/11324620800],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 31357991/611529523200],
[[[1, 8], [2, 11], [3, 1], [8, 1]], 565073/163074539520],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 1832429/169869312000],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 217739/18119393280],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 12384619/611529523200],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 62495/5435817984],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 30433969/489223618560],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 105231463/4348654387200],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 24059803/679477248000],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 27606661/217432719360],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 168361/18874368000],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 6926701/815372697600],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 2446267/169869312000],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 8051023/1630745395200],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 74879/12230590464],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 17180561/978447237120],
[[[1, 9], [2, 2], [3, 1], [4, 6]], 59561/67947724800],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 1/96000],
[[[1, 9], [2, 2], [3, 2], [4, 5]], 85/75497472],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 103/56623104],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 1/115200],
[[[1, 9], [2, 2], [3, 3], [8, 2]], 1/884736],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 5/1769472],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 19/7962624],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 1/414720],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 37/4478976],
[[[1, 9], [2, 2], [3, 5], [8, 1]], 1/663552],
[[[1, 9], [2, 2], [3, 5], [10, 1]], 1/1244160],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 1/663552],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 55/13436928],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 3/128000],
[[[1, 9], [2, 2], [4, 1], [8, 3]], 7/62914560],
[[[1, 9], [2, 2], [4, 3], [5, 2]], 7/409600],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 679/377487360],
[[[1, 9], [2, 2], [4, 3], [12, 2]], 17/39813120],
[[[1, 9], [2, 2], [4, 3], [16, 1]], 11/15728640],
[[[1, 9], [2, 2], [4, 3], [20, 1]], 17/11059200],
[[[1, 9], [2, 2], [4, 5], [5, 1]], 169/62914560],
[[[1, 9], [2, 2], [4, 5], [8, 1]], 24403/12079595520],
[[[1, 9], [2, 2], [4, 5], [12, 1]], 73/127401984],
[[[1, 9], [2, 2], [4, 6], [6, 1]], 4081/25480396800],
[[[1, 9], [2, 2], [5, 3], [6, 1]], 1/288000],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 97069/3623878656],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 188849/4529848320],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 223/11059200],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 5/15925248],
[[[1, 9], [2, 4], [3, 2], [8, 2]], 11/1048576],
[[[1, 9], [2, 4], [3, 2], [10, 2]], 1/1228800],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 27269/637009920],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 979/35831808],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 577/15925248],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 343/39813120],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 4199/47775744],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 551/63700992],
[[[1, 9], [2, 4], [3, 4], [10, 1]], 49/4423680],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 5/393216],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 1861/71663616],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 23/204800],
[[[1, 9], [2, 4], [4, 2], [6, 4]], 17/955514880],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 182153/6039797760],
[[[1, 9], [2, 4], [4, 2], [10, 2]], 1/36864000],
[[[1, 9], [2, 4], [4, 2], [12, 2]], 103/79626240],
[[[1, 9], [2, 4], [4, 2], [16, 1]], 529/35389440],
[[[1, 9], [2, 4], [4, 2], [20, 1]], 103/22118400],
[[[1, 9], [2, 4], [4, 3], [6, 3]], 49/212336640],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 53711/754974720],
[[[1, 9], [2, 4], [4, 4], [6, 2]], 92539/27179089920],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 11271853/108716359680],
[[[1, 9], [2, 4], [4, 4], [10, 1]], 3311/1509949440],
[[[1, 9], [2, 4], [4, 4], [12, 1]], 329/15925248],
[[[1, 9], [2, 4], [4, 5], [6, 1]], 9311/1207959552],
[[[1, 9], [2, 4], [5, 1], [6, 4]], 1/39813120],
[[[1, 9], [2, 4], [5, 1], [8, 2]], 73/7864320],
[[[1, 9], [2, 4], [5, 1], [10, 2]], 1/3072000],
[[[1, 9], [2, 4], [5, 2], [6, 2]], 3/409600],
[[[1, 9], [2, 4], [5, 2], [8, 1]], 103/4915200],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 137/3072000],
[[[1, 9], [2, 4], [6, 2], [8, 2]], 1/28311552],
[[[1, 9], [2, 4], [8, 1], [16, 1]], 103/35389440],
[[[1, 9], [2, 4], [8, 2], [10, 1]], 1/7864320],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 1052741/5435817984],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 2153/110592000],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 283/159252480],
[[[1, 9], [2, 6], [3, 1], [8, 2]], 1123/56623104],
[[[1, 9], [2, 6], [3, 1], [10, 2]], 173/36864000],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 244003/1132462080],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 1547/26542080],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 967847/7644119040],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 2783/199065600],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 1783/8847360],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 113/7077888],
[[[1, 9], [2, 6], [3, 3], [10, 1]], 1127/39813120],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 1511/47775744],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 5645/95551488],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 5/73728],
[[[1, 9], [2, 6], [4, 1], [6, 4]], 311/637009920],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 158957/3019898880],
[[[1, 9], [2, 6], [4, 1], [10, 2]], 119/49152000],
[[[1, 9], [2, 6], [4, 1], [16, 1]], 469/35389440],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 116017/15288238080],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 726893/2831155200],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 797911/20384317440],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 892331107/2174327193600],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 220057/5662310400],
[[[1, 9], [2, 6], [4, 3], [12, 1]], 461/11796480],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 2783683/27179089920],
[[[1, 9], [2, 6], [5, 1], [6, 3]], 889/199065600],
[[[1, 9], [2, 6], [5, 2], [6, 1]], 221/7372800],
[[[1, 9], [2, 6], [6, 1], [8, 2]], 1369/283115520],
[[[1, 9], [2, 6], [6, 1], [10, 2]], 1/13824000],
[[[1, 9], [2, 6], [6, 3], [8, 1]], 1/2211840],
[[[1, 9], [2, 6], [6, 3], [10, 1]], 1/24883200],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 338215807/1087163596800],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 89497/2548039680],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 3519167/20132659200],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 51073/4246732800],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 225631/1274019840],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 24953/1698693120],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 10559/353894400],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 63325/1528823808],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 9199/127401984],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 104171/6115295232],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 70936927/452984832000],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 157326289/1630745395200],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 646890707/2174327193600],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 126816707/1358954496000],
[[[1, 9], [2, 8], [4, 2], [12, 1]], 41/4718592],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 774642701/3261490790400],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 24889/1061683200],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 16261/1415577600],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 52969/884736000],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 51073/6794772480],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 16469/4246732800],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 14429/1887436800],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 357668671/3261490790400],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 565073/101921587200],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 3952661/67947724800],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 1840109/271790899200],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 2446267/169869312000],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 4959877/163074539520],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 2857669/67947724800],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 16089341/679477248000],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 1727863/32614907904],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 522901279/13045963161600],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 24059803/679477248000],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 1425295471/9784472371200],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 6872941/509607936000],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 2469307/271790899200],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 1832429/169869312000],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 80322287/6522981580800],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 20273243/1630745395200],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 173063951/6522981580800],
[[[1, 9], [3, 1], [4, 5], [8, 1]], 5/75497472],
[[[1, 9], [3, 2], [4, 2], [5, 2]], 1/921600],
[[[1, 9], [3, 2], [4, 2], [8, 2]], 1/3145728],
[[[1, 9], [3, 2], [4, 4], [5, 1]], 1/5898240],
[[[1, 9], [3, 3], [4, 3], [8, 1]], 1/2654208],
[[[1, 9], [3, 4], [4, 2], [5, 1]], 1/3317760],
[[[1, 9], [3, 5], [4, 1], [8, 1]], 1/1990656],
[[[1, 9], [4, 2], [5, 1], [8, 2]], 1/7864320],
[[[1, 9], [4, 2], [8, 1], [16, 1]], 1/47185920],
[[[1, 10], [2, 1], [3, 1], [4, 6]], 11/301989888],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 1/96000],
[[[1, 10], [2, 1], [3, 2], [4, 5]], 11/75497472],
[[[1, 10], [2, 1], [3, 3], [4, 4]], 43/169869312],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 1/115200],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 1/1990656],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 1/1990656],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 1/414720],
[[[1, 10], [2, 1], [3, 5], [8, 1]], 1/1990656],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1/1990656],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 1/746496],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 1/128000],
[[[1, 10], [2, 1], [4, 3], [5, 2]], 1/307200],
[[[1, 10], [2, 1], [4, 3], [8, 2]], 91/1132462080],
[[[1, 10], [2, 1], [4, 3], [12, 2]], 1/79626240],
[[[1, 10], [2, 1], [4, 3], [16, 1]], 1/47185920],
[[[1, 10], [2, 1], [4, 3], [20, 1]], 1/22118400],
[[[1, 10], [2, 1], [4, 5], [5, 1]], 23/62914560],
[[[1, 10], [2, 1], [4, 5], [8, 1]], 1513/36238786560],
[[[1, 10], [2, 1], [4, 5], [12, 1]], 11/637009920],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 1999/402653184],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 88483/9059696640],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 109/3686400],
[[[1, 10], [2, 3], [3, 2], [8, 2]], 29/9437184],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 10087/637009920],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 5/3981312],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 16837/955514880],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 551/39813120],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 1225/47775744],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 49/7077888],
[[[1, 10], [2, 3], [3, 4], [10, 1]], 53/13271040],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 1057/95551488],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 473/23887872],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 4067/73728000],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 8749/3019898880],
[[[1, 10], [2, 3], [4, 2], [12, 2]], 37/318504960],
[[[1, 10], [2, 3], [4, 2], [16, 1]], 17/17694720],
[[[1, 10], [2, 3], [4, 2], [20, 1]], 37/88473600],
[[[1, 10], [2, 3], [4, 3], [6, 3]], 1/70778880],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 23557/1509949440],
[[[1, 10], [2, 3], [4, 4], [6, 2]], 2659/27179089920],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 775783/108716359680],
[[[1, 10], [2, 3], [4, 4], [10, 1]], 71/1509949440],
[[[1, 10], [2, 3], [4, 4], [12, 1]], 115/127401984],
[[[1, 10], [2, 3], [4, 5], [6, 1]], 3703/3623878656],
[[[1, 10], [2, 3], [5, 1], [8, 2]], 1/524288],
[[[1, 10], [2, 3], [5, 2], [6, 2]], 1/737280],
[[[1, 10], [2, 3], [5, 2], [8, 1]], 19/1638400],
[[[1, 10], [2, 3], [5, 2], [10, 1]], 1/204800],
[[[1, 10], [2, 3], [8, 1], [16, 1]], 37/141557760],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 446791/6039797760],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 221/7372800],
[[[1, 10], [2, 5], [3, 1], [6, 4]], 11/95551488],
[[[1, 10], [2, 5], [3, 1], [8, 2]], 17/2097152],
[[[1, 10], [2, 5], [3, 1], [10, 2]], 23/36864000],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 42563/377487360],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 451/39813120],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 264869/2548039680],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 113/4423680],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 65959/716636160],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 1127/63700992],
[[[1, 10], [2, 5], [3, 3], [10, 1]], 3703/199065600],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 1973/47775744],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 83233/1433272320],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 5/73728],
[[[1, 10], [2, 5], [4, 1], [6, 4]], 17/637009920],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 107339/9059696640],
[[[1, 10], [2, 5], [4, 1], [10, 2]], 19/147456000],
[[[1, 10], [2, 5], [4, 1], [16, 1]], 103/35389440],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 4363/5096079360],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 121549/943718400],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 50327/6794772480],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 39687049/434865438720],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 37387/5662310400],
[[[1, 10], [2, 5], [4, 3], [12, 1]], 49/7077888],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 400873/18119393280],
[[[1, 10], [2, 5], [5, 1], [6, 3]], 1/1382400],
[[[1, 10], [2, 5], [5, 2], [6, 1]], 2153/110592000],
[[[1, 10], [2, 5], [6, 1], [8, 2]], 103/141557760],
[[[1, 10], [2, 5], [6, 3], [8, 1]], 1/39813120],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 263316769/1087163596800],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 241849/22932357120],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 105035389/543581798400],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 24889/1061683200],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 34703/339738624],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 31741/1698693120],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 35399/1415577600],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 162931/2548039680],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 481367/5733089280],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 45097/10192158720],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 70936927/452984832000],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 11112619/326149079040],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 327136829/2174327193600],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 3450227/90596966400],
[[[1, 10], [2, 7], [4, 2], [12, 1]], 469/106168320],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 37969243/362387865600],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 51073/4246732800],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 16261/1415577600],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 118327/3538944000],
[[[1, 10], [2, 7], [6, 2], [8, 1]], 16469/6794772480],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 4649/6370099200],
[[[1, 10], [2, 7], [8, 1], [10, 1]], 19003/5662310400],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 1425295471/9784472371200],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 1832429/169869312000],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 2857669/67947724800],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 2469307/271790899200],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 6872941/509607936000],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 1727863/32614907904],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 3952661/67947724800],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 24059803/679477248000],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 4959877/163074539520],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 522901279/13045963161600],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 16089341/679477248000],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 357668671/3261490790400],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 2446267/169869312000],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 1840109/271790899200],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 565073/101921587200],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 145035053/6522981580800],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 87854299/4892236185600],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 188371469/6522981580800],
[[[1, 11], [2, 2], [3, 1], [4, 5]], 701/1207959552],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 4547/3019898880],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 83/3686400],
[[[1, 11], [2, 2], [3, 2], [8, 2]], 1/3145728],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 181/53084160],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 143/35389440],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 49/4423680],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 341/143327232],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 53/21233664],
[[[1, 11], [2, 2], [3, 4], [10, 1]], 17/39813120],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 47/10616832],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 493/71663616],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 277/24576000],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 97/603979776],
[[[1, 11], [2, 2], [4, 2], [12, 2]], 1/318504960],
[[[1, 11], [2, 2], [4, 2], [16, 1]], 1/35389440],
[[[1, 11], [2, 2], [4, 2], [20, 1]], 1/88473600],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 3311/1509949440],
[[[1, 11], [2, 2], [4, 4], [6, 2]], 29/5435817984],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 39871/108716359680],
[[[1, 11], [2, 2], [4, 4], [10, 1]], 17/7549747200],
[[[1, 11], [2, 2], [4, 4], [12, 1]], 17/637009920],
[[[1, 11], [2, 2], [4, 5], [6, 1]], 71/3623878656],
[[[1, 11], [2, 2], [5, 1], [8, 2]], 1/7864320],
[[[1, 11], [2, 2], [5, 2], [6, 2]], 1/11059200],
[[[1, 11], [2, 2], [5, 2], [8, 1]], 1/327680],
[[[1, 11], [2, 2], [5, 2], [10, 1]], 1/3072000],
[[[1, 11], [2, 2], [8, 1], [16, 1]], 1/141557760],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 1069199/54358179840],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 617/22118400],
[[[1, 11], [2, 4], [3, 1], [6, 4]], 1/477757440],
[[[1, 11], [2, 4], [3, 1], [8, 2]], 187/94371840],
[[[1, 11], [2, 4], [3, 1], [10, 2]], 1/36864000],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 780791/20384317440],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 109/119439360],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 131839/2548039680],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 1127/39813120],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 5641/238878720],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 3703/318504960],
[[[1, 11], [2, 4], [3, 3], [10, 1]], 443/66355200],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 10081/318504960],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 10387/286654464],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 3047/73728000],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 7867/4529848320],
[[[1, 11], [2, 4], [4, 1], [16, 1]], 37/141557760],
[[[1, 11], [2, 4], [4, 2], [6, 3]], 233/5096079360],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 220057/5662310400],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 4439/6794772480],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 5308279/434865438720],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 97/209715200],
[[[1, 11], [2, 4], [4, 3], [12, 1]], 7/14155776],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 183029/54358179840],
[[[1, 11], [2, 4], [5, 1], [6, 3]], 1/24883200],
[[[1, 11], [2, 4], [5, 2], [6, 1]], 799/110592000],
[[[1, 11], [2, 4], [6, 1], [8, 2]], 1/28311552],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 79389049/652298158080],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 7847/3822059520],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 222973049/1630745395200],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 10559/353894400],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 115331/3057647616],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 35399/2264924160],
[[[1, 11], [2, 6], [3, 2], [10, 1]], 57361/4246732800],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 397051/6115295232],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 464263/7644119040],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 9887/15288238080],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 126816707/1358954496000],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 2591333/326149079040],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 19344359/434865438720],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 876877/90596966400],
[[[1, 11], [2, 6], [4, 2], [12, 1]], 103/106168320],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 6480643/217432719360],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 16469/4246732800],
[[[1, 11], [2, 6], [5, 1], [8, 1]], 14429/1887436800],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 35483/3538944000],
[[[1, 11], [2, 6], [6, 2], [8, 1]], 4649/10192158720],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 151/2123366400],
[[[1, 11], [2, 6], [8, 1], [10, 1]], 2519/2831155200],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 27606661/217432719360],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 2446267/169869312000],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 12384619/611529523200],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 6926701/815372697600],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 168361/18874368000],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 30433969/489223618560],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 31357991/611529523200],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 24059803/679477248000],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 217739/18119393280],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 105231463/4348654387200],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 62495/5435817984],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 178507169/3261490790400],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 1832429/169869312000],
[[[1, 11], [2, 8], [6, 1], [8, 1]], 565073/163074539520],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 21703/11324620800],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 188371469/6522981580800],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 87854299/4892236185600],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 145035053/6522981580800],
[[[1, 11], [3, 1], [4, 2], [5, 2]], 1/921600],
[[[1, 11], [3, 1], [4, 2], [8, 2]], 1/94371840],
[[[1, 11], [3, 1], [4, 4], [5, 1]], 1/9437184],
[[[1, 11], [3, 2], [4, 3], [8, 1]], 13/141557760],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 1/1658880],
[[[1, 11], [3, 4], [4, 1], [8, 1]], 17/63700992],
[[[1, 11], [4, 1], [5, 2], [8, 1]], 1/4915200],
[[[1, 11], [4, 3], [5, 1], [8, 1]], 1/29491200],
[[[1, 12], [2, 1], [3, 1], [4, 5]], 299/6039797760],
[[[1, 12], [2, 1], [3, 2], [4, 4]], 173/1811939328],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 29/3686400],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 7/19906560],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 49/106168320],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 53/13271040],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 17/63700992],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 19/31850496],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 17/23887872],
[[[1, 12], [2, 1], [4, 2], [5, 2]], 1/2048000],
[[[1, 12], [2, 1], [4, 2], [8, 2]], 1/402653184],
[[[1, 12], [2, 1], [4, 4], [5, 1]], 71/1509949440],
[[[1, 12], [2, 1], [4, 4], [8, 1]], 107/7247757312],
[[[1, 12], [2, 1], [4, 5], [6, 1]], 17/18119393280],
[[[1, 12], [2, 1], [5, 2], [8, 1]], 1/4915200],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 182701/54358179840],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 571/36864000],
[[[1, 12], [2, 3], [3, 1], [8, 2]], 23/94371840],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 55447/6794772480],
[[[1, 12], [2, 3], [3, 2], [6, 3]], 1/39813120],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 639761/45864714240],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 3703/199065600],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 643/238878720],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 443/106168320],
[[[1, 12], [2, 3], [3, 3], [10, 1]], 73/66355200],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 12889/955514880],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 41/3317760],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 1061/73728000],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 67/503316480],
[[[1, 12], [2, 3], [4, 1], [16, 1]], 1/141557760],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 37387/5662310400],
[[[1, 12], [2, 3], [4, 3], [6, 2]], 679/20384317440],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 836827/724775731200],
[[[1, 12], [2, 3], [4, 3], [10, 1]], 121/5662310400],
[[[1, 12], [2, 3], [4, 3], [12, 1]], 1/70778880],
[[[1, 12], [2, 3], [4, 4], [6, 1]], 247/1207959552],
[[[1, 12], [2, 3], [5, 2], [6, 1]], 1/768000],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 2969071/72477573120],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 779/3822059520],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 21300403/326149079040],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 35399/1415577600],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 39665/4586471424],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 57361/6794772480],
[[[1, 12], [2, 5], [3, 2], [10, 1]], 28261/6370099200],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 1331819/30576476160],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 2104031/68797071360],
[[[1, 12], [2, 5], [4, 1], [6, 3]], 139/3057647616],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 3450227/90596966400],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 5026081/4892236185600],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 4081769/434865438720],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 1753921/1358954496000],
[[[1, 12], [2, 5], [4, 2], [12, 1]], 37/424673280],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 3851959/652298158080],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 4649/6370099200],
[[[1, 12], [2, 5], [5, 1], [8, 1]], 19003/5662310400],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 3259/1769472000],
[[[1, 12], [2, 5], [6, 2], [8, 1]], 151/3397386240],
[[[1, 12], [2, 5], [6, 2], [10, 1]], 1/283115520],
[[[1, 12], [2, 5], [8, 1], [10, 1]], 13/104857600],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 246150703/3261490790400],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 6872941/509607936000],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 18001/2717908992],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 1517809/271790899200],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 137359/33973862400],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 8250797/163074539520],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 54366407/1834588569600],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 16089341/679477248000],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 526613/163074539520],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 31299659/3261490790400],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 103117/27179089920],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 184486097/9784472371200],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 565073/101921587200],
[[[1, 12], [2, 7], [6, 1], [8, 1]], 21703/18119393280],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 210061/509607936000],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 173063951/6522981580800],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 20273243/1630745395200],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 80322287/6522981580800],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 1819/6039797760],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 173/36864000],
[[[1, 13], [2, 2], [3, 1], [8, 2]], 1/94371840],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 6839/6794772480],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 27857/15288238080],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 443/66355200],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 67/716636160],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 73/106168320],
[[[1, 13], [2, 2], [3, 3], [10, 1]], 13/199065600],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 199/70778880],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 347/179159040],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 119/49152000],
[[[1, 13], [2, 2], [4, 1], [8, 2]], 1/201326592],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 97/209715200],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 13687/241591910400],
[[[1, 13], [2, 2], [4, 4], [6, 1]], 511/54358179840],
[[[1, 13], [2, 2], [5, 2], [6, 1]], 1/13824000],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 27850961/3261490790400],
[[[1, 13], [2, 4], [3, 1], [6, 3]], 211/22932357120],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 6300109/326149079040],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 57361/4246732800],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 1619/1528823808],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 28261/10192158720],
[[[1, 13], [2, 4], [3, 2], [10, 1]], 1699/2123366400],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 31087/1698693120],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 109337/11466178560],
[[[1, 13], [2, 4], [4, 1], [6, 3]], 1/679477248],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 876877/90596966400],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 11149/181193932800],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 2875247/2174327193600],
[[[1, 13], [2, 4], [4, 2], [10, 1]], 31381/452984832000],
[[[1, 13], [2, 4], [4, 2], [12, 1]], 1/424673280],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 2128801/3261490790400],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 151/2123366400],
[[[1, 13], [2, 4], [5, 1], [8, 1]], 2519/2831155200],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 371/1769472000],
[[[1, 13], [2, 4], [6, 2], [8, 1]], 1/452984832],
[[[1, 13], [2, 4], [6, 2], [10, 1]], 1/12740198400],
[[[1, 13], [2, 4], [8, 1], [10, 1]], 1/125829120],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 311367379/9784472371200],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 168361/18874368000],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 867047/611529523200],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 137359/54358179840],
[[[1, 13], [2, 6], [3, 1], [10, 1]], 122123/101921587200],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 14245729/489223618560],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 299011/24461180928],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 62495/5435817984],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 17683/32614907904],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 9076771/3261490790400],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 531223/679477248000],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 14510549/3261490790400],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 21703/11324620800],
[[[1, 13], [2, 6], [6, 1], [8, 1]], 210061/815372697600],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 25243/509607936000],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 17180561/978447237120],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 74879/12230590464],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 8051023/1630745395200],
[[[1, 13], [3, 1], [4, 3], [8, 1]], 19/6794772480],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 13/88473600],
[[[1, 13], [3, 3], [4, 1], [8, 1]], 13/318504960],
[[[1, 14], [2, 1], [3, 1], [4, 4]], 71/13589544960],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 23/36864000],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 1319/20384317440],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 1649/15288238080],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 73/66355200],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 13/318504960],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 137/637009920],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 13/119439360],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 19/147456000],
[[[1, 14], [2, 1], [4, 1], [8, 2]], 1/9059696640],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 121/5662310400],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 491/724775731200],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 3156143/3261490790400],
[[[1, 14], [2, 3], [3, 1], [6, 3]], 1/7644119040],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 15471641/4892236185600],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 28261/6370099200],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 97/1698693120],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 1699/3397386240],
[[[1, 14], [2, 3], [3, 2], [10, 1]], 299/4246732800],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 13667/3057647616],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 18589/11466178560],
[[[1, 14], [2, 3], [4, 1], [6, 3]], 1/30576476160],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 1753921/1358954496000],
[[[1, 14], [2, 3], [4, 2], [6, 2]], 2291/1630745395200],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 217601/2174327193600],
[[[1, 14], [2, 3], [4, 2], [10, 1]], 491/452984832000],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 12167/362387865600],
[[[1, 14], [2, 3], [5, 1], [6, 2]], 1/283115520],
[[[1, 14], [2, 3], [5, 1], [8, 1]], 13/104857600],
[[[1, 14], [2, 3], [5, 1], [10, 1]], 1/78643200],
[[[1, 14], [2, 3], [6, 2], [8, 1]], 1/20384317440],
[[[1, 14], [2, 3], [8, 1], [10, 1]], 1/5662310400],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 3263863/362387865600],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 137359/33973862400],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 329819/1834588569600],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 122123/163074539520],
[[[1, 14], [2, 5], [3, 1], [10, 1]], 110201/509607936000],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 5530423/489223618560],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 6230471/1834588569600],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 103117/27179089920],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 7/134217728],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 76417/135895449600],
[[[1, 14], [2, 5], [4, 1], [10, 1]], 61729/679477248000],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 423647/652298158080],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 210061/509607936000],
[[[1, 14], [2, 5], [6, 1], [8, 1]], 25243/815372697600],
[[[1, 14], [2, 5], [6, 1], [10, 1]], 491/169869312000],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 14044627/1630745395200],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 4043867/1834588569600],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 2276603/1630745395200],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 6179/120795955200],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 391741/1630745395200],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 1699/2123366400],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 47/45864714240],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 299/6794772480],
[[[1, 15], [2, 2], [3, 2], [10, 1]], 29/12740198400],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 1909/3397386240],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 9101/68797071360],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 31381/452984832000],
[[[1, 15], [2, 2], [4, 2], [6, 2]], 151/4892236185600],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 2837/724775731200],
[[[1, 15], [2, 2], [4, 2], [10, 1]], 31/1358954496000],
[[[1, 15], [2, 2], [4, 3], [6, 1]], 491/1087163596800],
[[[1, 15], [2, 2], [5, 1], [6, 2]], 1/12740198400],
[[[1, 15], [2, 2], [5, 1], [8, 1]], 1/125829120],
[[[1, 15], [2, 2], [5, 1], [10, 1]], 1/3538944000],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 5096353/3261490790400],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 122123/101921587200],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 7487/611529523200],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 110201/815372697600],
[[[1, 15], [2, 4], [3, 1], [10, 1]], 1247/56623104000],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 151693/54358179840],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 1051649/1834588569600],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 531223/679477248000],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 431/163074539520],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 112639/1630745395200],
[[[1, 15], [2, 4], [4, 1], [10, 1]], 391/75497472000],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 524303/9784472371200],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 25243/509607936000],
[[[1, 15], [2, 4], [6, 1], [8, 1]], 491/271790899200],
[[[1, 15], [2, 4], [6, 1], [10, 1]], 31/509607936000],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 7386281/2446118092800],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 678533/1223059046400],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 640693/2446118092800],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 19/4246732800],
[[[1, 15], [3, 2], [4, 1], [8, 1]], 29/20384317440],
[[[1, 15], [4, 1], [5, 1], [8, 1]], 1/5662310400],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 5711/3261490790400],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 10171/1630745395200],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 299/4246732800],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 29/20384317440],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 283/10192158720],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 29/7644119040],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 491/452984832000],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 59/724775731200],
[[[1, 16], [2, 1], [4, 3], [6, 1]], 31/3261490790400],
[[[1, 16], [2, 1], [5, 1], [8, 1]], 1/5662310400],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 1436033/9784472371200],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 110201/509607936000],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 253/611529523200],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 1247/90596966400],
[[[1, 16], [2, 3], [3, 1], [10, 1]], 191/169869312000],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 198211/489223618560],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 32617/611529523200],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 61729/679477248000],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 1/18119393280],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 119629/26091926323200],
[[[1, 16], [2, 3], [4, 1], [10, 1]], 73/679477248000],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 3919/1630745395200],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 491/169869312000],
[[[1, 16], [2, 3], [6, 1], [8, 1]], 31/815372697600],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 876997/1223059046400],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 332219/3669177139200],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 4139/135895449600],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 1339/217432719360],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 1247/56623104000],
[[[1, 17], [2, 2], [3, 1], [6, 2]], 11/1834588569600],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 191/271790899200],
[[[1, 17], [2, 2], [3, 1], [10, 1]], 11/509607936000],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 1661/54358179840],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 4349/1834588569600],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 391/75497472000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 1333/8697308774400],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 1/20132659200],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 31/509607936000],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 1416479/13045963161600],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 261407/29353417113600],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 80989/39137889484800],
[[[1, 17], [3, 1], [4, 1], [8, 1]], 11/815372697600],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 103/1087163596800],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 191/169869312000],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 11/815372697600],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 29/32614907904],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 11/305764761600],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 73/679477248000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 1/347892350976],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 380303/39137889484800],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 1573/3261490790400],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 3151/39137889484800],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 73/161061273600],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 361/29353417113600],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 1/521838526464],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 107/13045963161600],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/9784472371200],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/39137889484800],
[[[2, 1], [4, 2], [8, 3], [16, 1]], 1/8192],
[[[2, 1], [4, 4], [8, 2], [12, 2]], 1/18432],
[[[2, 1], [4, 4], [8, 2], [20, 1]], 1/5120],
[[[2, 1], [4, 6], [8, 2], [12, 1]], 1/73728],
[[[2, 3], [3, 2], [6, 3], [18, 2]], 1/5184],
[[[2, 3], [4, 2], [6, 3], [12, 3]], 1/3072],
[[[2, 3], [4, 2], [6, 5], [12, 2]], 1/18432],
[[[2, 3], [4, 3], [6, 2], [8, 3]], 1/147456],
[[[2, 3], [4, 3], [8, 2], [16, 1]], 3/65536],
[[[2, 3], [4, 3], [8, 3], [10, 1]], 1/40960],
[[[2, 3], [4, 5], [8, 1], [12, 2]], 1/49152],
[[[2, 3], [4, 5], [8, 1], [20, 1]], 3/40960],
[[[2, 3], [4, 7], [6, 2], [8, 1]], 1/26542080],
[[[2, 3], [4, 7], [8, 1], [10, 1]], 1/7372800],
[[[2, 3], [4, 7], [8, 1], [12, 1]], 1/196608],
[[[2, 3], [6, 3], [12, 1], [18, 2]], 1/864],
[[[2, 3], [6, 5], [10, 1], [30, 1]], 1/1440],
[[[2, 5], [3, 2], [6, 5], [18, 1]], 1/20736],
[[[2, 5], [4, 2], [6, 4], [12, 2]], 1/9216],
[[[2, 5], [4, 3], [6, 1], [8, 3]], 1/393216],
[[[2, 5], [4, 4], [6, 2], [8, 2]], 5/2359296],
[[[2, 5], [4, 4], [6, 2], [12, 2]], 1/165888],
[[[2, 5], [4, 4], [6, 2], [20, 1]], 1/46080],
[[[2, 5], [4, 4], [8, 1], [16, 1]], 1/262144],
[[[2, 5], [4, 4], [8, 2], [10, 1]], 1/131072],
[[[2, 5], [4, 4], [10, 1], [12, 2]], 1/46080],
[[[2, 5], [4, 4], [10, 1], [20, 1]], 1/12800],
[[[2, 5], [4, 6], [6, 2], [12, 1]], 1/663552],
[[[2, 5], [4, 6], [10, 1], [12, 1]], 1/184320],
[[[2, 5], [4, 7], [6, 1], [8, 1]], 1/106168320],
[[[2, 5], [6, 4], [10, 1], [30, 1]], 1/720],
[[[2, 5], [6, 5], [12, 1], [18, 1]], 1/3456],
[[[2, 7], [4, 1], [8, 2], [16, 1]], 1/11796480],
[[[2, 7], [4, 2], [6, 3], [8, 2]], 1/884736],
[[[2, 7], [4, 3], [6, 4], [8, 1]], 1/5308416],
[[[2, 7], [4, 3], [8, 1], [10, 2]], 1/409600],
[[[2, 7], [4, 3], [8, 1], [12, 2]], 1/26542080],
[[[2, 7], [4, 3], [8, 1], [20, 1]], 1/7372800],
[[[2, 7], [4, 4], [6, 1], [8, 2]], 1/1179648],
[[[2, 7], [4, 4], [6, 1], [12, 2]], 1/663552],
[[[2, 7], [4, 4], [6, 1], [20, 1]], 1/184320],
[[[2, 7], [4, 5], [6, 2], [8, 1]], 1/9437184],
[[[2, 7], [4, 5], [8, 1], [10, 1]], 1/2621440],
[[[2, 7], [4, 5], [8, 1], [12, 1]], 1/106168320],
[[[2, 7], [4, 6], [6, 1], [12, 1]], 1/2654208],
[[[2, 9], [4, 1], [6, 5], [8, 1]], 1/1990656],
[[[2, 9], [4, 2], [6, 2], [8, 2]], 1/3145728],
[[[2, 9], [4, 2], [6, 2], [10, 2]], 1/921600],
[[[2, 9], [4, 2], [6, 4], [10, 1]], 1/3317760],
[[[2, 9], [4, 2], [8, 1], [16, 1]], 1/47185920],
[[[2, 9], [4, 2], [8, 2], [10, 1]], 1/7864320],
[[[2, 9], [4, 3], [6, 3], [8, 1]], 1/2654208],
[[[2, 9], [4, 4], [6, 2], [10, 1]], 1/5898240],
[[[2, 9], [4, 5], [6, 1], [8, 1]], 5/75497472],
[[[2, 11], [4, 1], [6, 4], [8, 1]], 17/63700992],
[[[2, 11], [4, 1], [8, 1], [10, 2]], 1/4915200],
[[[2, 11], [4, 2], [6, 1], [8, 2]], 1/94371840],
[[[2, 11], [4, 2], [6, 1], [10, 2]], 1/921600],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 1/1658880],
[[[2, 11], [4, 3], [6, 2], [8, 1]], 13/141557760],
[[[2, 11], [4, 3], [8, 1], [10, 1]], 1/29491200],
[[[2, 11], [4, 4], [6, 1], [10, 1]], 1/9437184],
[[[2, 13], [4, 1], [6, 3], [8, 1]], 13/318504960],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 13/88473600],
[[[2, 13], [4, 3], [6, 1], [8, 1]], 19/6794772480],
[[[2, 15], [4, 1], [6, 2], [8, 1]], 29/20384317440],
[[[2, 15], [4, 1], [8, 1], [10, 1]], 1/5662310400],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 19/4246732800],
[[[2, 17], [4, 1], [6, 1], [8, 1]], 11/815372697600],
[[[1, 1], [2, 2], [3, 1], [4, 4], [8, 3]], 1/49152],
[[[1, 1], [2, 2], [3, 1], [4, 8], [8, 1]], 1/8847360],
[[[1, 1], [2, 2], [3, 1], [6, 4], [18, 2]], 1/5184],
[[[1, 1], [2, 2], [3, 3], [6, 2], [18, 2]], 1/5184],
[[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 1/4096],
[[[1, 1], [2, 2], [4, 3], [6, 2], [8, 3]], 1/147456],
[[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 17/65536],
[[[1, 1], [2, 2], [4, 3], [8, 2], [20, 1]], 1/2560],
[[[1, 1], [2, 2], [4, 3], [8, 3], [10, 1]], 1/40960],
[[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 1/12288],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 3]], 1/49152],
[[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/16384],
[[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 9/40960],
[[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 2], [4, 7], [6, 2], [8, 1]], 1/26542080],
[[[1, 1], [2, 2], [4, 7], [8, 1], [10, 1]], 1/7372800],
[[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 1/65536],
[[[1, 1], [2, 2], [4, 8], [6, 1], [8, 1]], 1/8847360],
[[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 7/1572864],
[[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/73728],
[[[1, 1], [2, 4], [3, 1], [4, 5], [20, 1]], 1/20480],
[[[1, 1], [2, 4], [3, 1], [4, 7], [6, 2]], 1/39813120],
[[[1, 1], [2, 4], [3, 1], [4, 7], [10, 1]], 1/11059200],
[[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 1/294912],
[[[1, 1], [2, 4], [3, 1], [4, 8], [6, 1]], 1/17694720],
[[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 1/648],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 7/20736],
[[[1, 1], [2, 4], [3, 3], [6, 4], [18, 1]], 7/20736],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/49152],
[[[1, 1], [2, 4], [4, 2], [6, 4], [12, 2]], 1/3072],
[[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 31/196608],
[[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 3/40960],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 17/1179648],
[[[1, 1], [2, 4], [4, 3], [6, 3], [8, 2]], 1/221184],
[[[1, 1], [2, 4], [4, 3], [6, 3], [12, 2]], 1/62208],
[[[1, 1], [2, 4], [4, 3], [6, 3], [20, 1]], 1/17280],
[[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 269/7077888],
[[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 1/55296],
[[[1, 1], [2, 4], [4, 4], [6, 2], [20, 1]], 1/15360],
[[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 31/442368],
[[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 17/262144],
[[[1, 1], [2, 4], [4, 4], [8, 1], [20, 1]], 31/122880],
[[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 269/1966080],
[[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 1/32768],
[[[1, 1], [2, 4], [4, 4], [10, 1], [12, 2]], 1/15360],
[[[1, 1], [2, 4], [4, 4], [10, 1], [20, 1]], 3/12800],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 7/1572864],
[[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 1/73728],
[[[1, 1], [2, 4], [4, 5], [6, 1], [20, 1]], 1/20480],
[[[1, 1], [2, 4], [4, 5], [6, 3], [12, 1]], 1/248832],
[[[1, 1], [2, 4], [4, 6], [6, 2], [8, 1]], 31/26542080],
[[[1, 1], [2, 4], [4, 6], [6, 2], [12, 1]], 1/221184],
[[[1, 1], [2, 4], [4, 6], [8, 1], [10, 1]], 31/7372800],
[[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 85/1769472],
[[[1, 1], [2, 4], [4, 6], [10, 1], [12, 1]], 1/61440],
[[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 7/106168320],
[[[1, 1], [2, 4], [4, 7], [6, 1], [10, 1]], 1/11059200],
[[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 1/294912],
[[[1, 1], [2, 4], [6, 2], [8, 2], [16, 1]], 1/18432],
[[[1, 1], [2, 4], [6, 4], [10, 1], [30, 1]], 1/240],
[[[1, 1], [2, 4], [8, 2], [10, 1], [16, 1]], 1/5120],
[[[1, 1], [2, 6], [3, 1], [4, 6], [8, 1]], 1/6291456],
[[[1, 1], [2, 6], [3, 1], [4, 7], [6, 1]], 1/159252480],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 5/5184],
[[[1, 1], [2, 6], [3, 1], [6, 6], [12, 1]], 31/552960],
[[[1, 1], [2, 6], [4, 1], [8, 2], [16, 1]], 31/11796480],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 1/131072],
[[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 1/294912],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 7/589824],
[[[1, 1], [2, 6], [4, 3], [6, 2], [12, 2]], 1/82944],
[[[1, 1], [2, 6], [4, 3], [6, 2], [16, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 3], [6, 2], [20, 1]], 1/23040],
[[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 1/1769472],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 3/409600],
[[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 31/26542080],
[[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 3/131072],
[[[1, 1], [2, 6], [4, 3], [8, 1], [20, 1]], 31/7372800],
[[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 1/30720],
[[[1, 1], [2, 6], [4, 3], [10, 1], [12, 2]], 1/34560],
[[[1, 1], [2, 6], [4, 3], [10, 1], [16, 1]], 1/20480],
[[[1, 1], [2, 6], [4, 3], [10, 1], [20, 1]], 1/9600],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 101/7077888],
[[[1, 1], [2, 6], [4, 4], [6, 1], [12, 2]], 1/73728],
[[[1, 1], [2, 6], [4, 4], [6, 1], [20, 1]], 1/20480],
[[[1, 1], [2, 6], [4, 4], [6, 3], [8, 1]], 1/1769472],
[[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 239/28311552],
[[[1, 1], [2, 6], [4, 5], [6, 2], [12, 1]], 1/82944],
[[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 239/7864320],
[[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 301/106168320],
[[[1, 1], [2, 6], [4, 5], [10, 1], [12, 1]], 11/276480],
[[[1, 1], [2, 6], [4, 6], [6, 1], [8, 1]], 383/849346560],
[[[1, 1], [2, 6], [4, 6], [6, 1], [12, 1]], 1/294912],
[[[1, 1], [2, 6], [6, 1], [8, 2], [16, 1]], 1/73728],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/1990656],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 1/7962624],
[[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 17/283115520],
[[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/614400],
[[[1, 1], [2, 8], [3, 1], [4, 3], [12, 2]], 1/39813120],
[[[1, 1], [2, 8], [3, 1], [4, 3], [20, 1]], 1/11059200],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/3538944],
[[[1, 1], [2, 8], [3, 1], [4, 5], [6, 2]], 1/14155776],
[[[1, 1], [2, 8], [3, 1], [4, 5], [10, 1]], 1/3932160],
[[[1, 1], [2, 8], [3, 1], [4, 5], [12, 1]], 1/159252480],
[[[1, 1], [2, 8], [3, 1], [4, 6], [6, 1]], 1/25165824],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 1/442368],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 1/663552],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 29/9437184],
[[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 1/307200],
[[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 5/1769472],
[[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 1/1105920],
[[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 7/409600],
[[[1, 1], [2, 8], [4, 2], [8, 1], [12, 2]], 1/26542080],
[[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 37/47185920],
[[[1, 1], [2, 8], [4, 2], [8, 1], [20, 1]], 1/7372800],
[[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 1/524288],
[[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 1/17694720],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 419/94371840],
[[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 1/614400],
[[[1, 1], [2, 8], [4, 3], [6, 1], [12, 2]], 1/491520],
[[[1, 1], [2, 8], [4, 3], [6, 1], [16, 1]], 1/294912],
[[[1, 1], [2, 8], [4, 3], [6, 1], [20, 1]], 3/409600],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/442368],
[[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 1/1105920],
[[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 17/9437184],
[[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 1/1179648],
[[[1, 1], [2, 8], [4, 4], [8, 1], [10, 1]], 7/1572864],
[[[1, 1], [2, 8], [4, 4], [8, 1], [12, 1]], 7/106168320],
[[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 577/226492416],
[[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/3932160],
[[[1, 1], [2, 8], [4, 5], [6, 1], [12, 1]], 49/17694720],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 1/2985984],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 1/995328],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 1/3981312],
[[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 5/28311552],
[[[1, 1], [2, 10], [3, 1], [4, 4], [8, 1]], 1/70778880],
[[[1, 1], [2, 10], [3, 1], [4, 5], [6, 1]], 5/113246208],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 1/57600],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 1/103680],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 1/1572864],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 1/92160],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 53/21233664],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 7/1658880],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 1/327680],
[[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/35389440],
[[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 1/3932160],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 23/94371840],
[[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 19/7077888],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 1/276480],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 53/47185920],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1/368640],
[[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 1/1638400],
[[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 1/70778880],
[[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 277/377487360],
[[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 43/47185920],
[[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 17/95551488],
[[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 1/7372800],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 13/53084160],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 13/212336640],
[[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1/44236800],
[[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 17/4529848320],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/1843200],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 1/368640],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 1/47185920],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 41/7372800],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 73/106168320],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 49/13271040],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 13/23592960],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 53/29491200],
[[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 23/117964800],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 163/2264924160],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 7/6553600],
[[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 1/983040],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 13/477757440],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 19/2548039680],
[[[1, 1], [2, 14], [3, 1], [4, 2], [8, 1]], 1/13589544960],
[[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 19/10192158720],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 1/11059200],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 299/6794772480],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 13/17694720],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 1/125829120],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 73/4529848320],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 163/1415577600],
[[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 1/29491200],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 29/30576476160],
[[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/8493465600],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 31/815372697600],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/2123366400],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 191/271790899200],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 181/8493465600],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 11/1223059046400],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 3]], 1/49152],
[[[1, 2], [2, 1], [3, 1], [4, 8], [8, 1]], 1/8847360],
[[[1, 2], [2, 1], [3, 2], [4, 3], [8, 3]], 1/147456],
[[[1, 2], [2, 1], [3, 2], [4, 7], [8, 1]], 1/26542080],
[[[1, 2], [2, 1], [3, 2], [6, 3], [9, 2]], 1/5184],
[[[1, 2], [2, 1], [3, 4], [6, 1], [9, 2]], 1/5184],
[[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 1/4096],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 3]], 1/40960],
[[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 17/65536],
[[[1, 2], [2, 1], [4, 3], [8, 2], [20, 1]], 1/2560],
[[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 1/12288],
[[[1, 2], [2, 1], [4, 4], [6, 1], [8, 3]], 1/49152],
[[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/16384],
[[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 9/40960],
[[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 1], [4, 7], [5, 1], [8, 1]], 1/7372800],
[[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 1/65536],
[[[1, 2], [2, 1], [4, 8], [6, 1], [8, 1]], 1/8847360],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 91/1179648],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 511/4718592],
[[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 1/24576],
[[[1, 2], [2, 3], [3, 1], [4, 5], [20, 1]], 3/20480],
[[[1, 2], [2, 3], [3, 1], [4, 7], [6, 2]], 7/39813120],
[[[1, 2], [2, 3], [3, 1], [4, 7], [8, 1]], 127/35389440],
[[[1, 2], [2, 3], [3, 1], [4, 7], [10, 1]], 1/11059200],
[[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 1/98304],
[[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 13/53084160],
[[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 1/648],
[[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 7/786432],
[[[1, 2], [2, 3], [3, 2], [4, 4], [12, 2]], 5/165888],
[[[1, 2], [2, 3], [3, 2], [4, 4], [20, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 2], [4, 6], [12, 1]], 5/663552],
[[[1, 2], [2, 3], [3, 2], [4, 7], [6, 1]], 1/6635520],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 2]], 1/2592],
[[[1, 2], [2, 3], [3, 2], [6, 2], [18, 2]], 1/864],
[[[1, 2], [2, 3], [3, 2], [6, 5], [9, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 4], [6, 3], [9, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 4], [6, 3], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 1/49152],
[[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 1/18432],
[[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 157/196608],
[[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 1/5120],
[[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 3/40960],
[[[1, 2], [2, 3], [4, 2], [8, 3], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 35/393216],
[[[1, 2], [2, 3], [4, 3], [6, 3], [8, 2]], 1/221184],
[[[1, 2], [2, 3], [4, 3], [6, 3], [12, 2]], 1/62208],
[[[1, 2], [2, 3], [4, 3], [6, 3], [20, 1]], 1/17280],
[[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 1/131072],
[[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 1/46080],
[[[1, 2], [2, 3], [4, 4], [5, 1], [20, 1]], 1/12800],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 317/7077888],
[[[1, 2], [2, 3], [4, 4], [6, 2], [12, 2]], 7/165888],
[[[1, 2], [2, 3], [4, 4], [6, 2], [20, 1]], 7/46080],
[[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 109/442368],
[[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 23/131072],
[[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 109/122880],
[[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 269/1966080],
[[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 91/294912],
[[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 1/15360],
[[[1, 2], [2, 3], [4, 4], [10, 1], [20, 1]], 3/12800],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 511/4718592],
[[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 1/24576],
[[[1, 2], [2, 3], [4, 5], [6, 1], [20, 1]], 3/20480],
[[[1, 2], [2, 3], [4, 5], [6, 3], [12, 1]], 1/248832],
[[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 1/184320],
[[[1, 2], [2, 3], [4, 6], [6, 2], [8, 1]], 31/26542080],
[[[1, 2], [2, 3], [4, 6], [6, 2], [12, 1]], 7/663552],
[[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 31/7372800],
[[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 271/1769472],
[[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 1/61440],
[[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 43/11796480],
[[[1, 2], [2, 3], [4, 7], [6, 1], [10, 1]], 1/11059200],
[[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 1/98304],
[[[1, 2], [2, 3], [6, 2], [8, 2], [16, 1]], 1/18432],
[[[1, 2], [2, 3], [8, 2], [10, 1], [16, 1]], 1/5120],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 119/4718592],
[[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 7/165888],
[[[1, 2], [2, 5], [3, 1], [4, 4], [16, 1]], 1/32768],
[[[1, 2], [2, 5], [3, 1], [4, 4], [20, 1]], 7/46080],
[[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 31/39813120],
[[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 39/2097152],
[[[1, 2], [2, 5], [3, 1], [4, 6], [10, 1]], 31/11059200],
[[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 41/1327104],
[[[1, 2], [2, 5], [3, 1], [4, 7], [6, 1]], 289/159252480],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 11/5184],
[[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 5/9437184],
[[[1, 2], [2, 5], [3, 2], [6, 4], [9, 1]], 1/3456],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 5/1728],
[[[1, 2], [2, 5], [3, 2], [6, 5], [12, 1]], 5/12288],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 1/49152],
[[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 37/262144],
[[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 3/40960],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 17/393216],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 5/294912],
[[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 1/62208],
[[[1, 2], [2, 5], [4, 2], [6, 3], [16, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [6, 3], [20, 1]], 1/17280],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 275/1769472],
[[[1, 2], [2, 5], [4, 3], [6, 2], [12, 2]], 5/82944],
[[[1, 2], [2, 5], [4, 3], [6, 2], [16, 1]], 1/24576],
[[[1, 2], [2, 5], [4, 3], [6, 2], [20, 1]], 1/4608],
[[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 1/1769472],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 3/409600],
[[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 37/589824],
[[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 113/393216],
[[[1, 2], [2, 5], [4, 3], [8, 1], [20, 1]], 37/163840],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 21/40960],
[[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 31/294912],
[[[1, 2], [2, 5], [4, 3], [10, 1], [12, 2]], 1/8640],
[[[1, 2], [2, 5], [4, 3], [10, 1], [16, 1]], 3/20480],
[[[1, 2], [2, 5], [4, 3], [10, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 1339/14155776],
[[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 49/663552],
[[[1, 2], [2, 5], [4, 4], [6, 1], [16, 1]], 1/32768],
[[[1, 2], [2, 5], [4, 4], [6, 1], [20, 1]], 49/184320],
[[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 121/5308416],
[[[1, 2], [2, 5], [4, 4], [6, 3], [12, 1]], 7/248832],
[[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 1/2621440],
[[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 53/1572864],
[[[1, 2], [2, 5], [4, 5], [6, 2], [12, 1]], 7/165888],
[[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 157/1310720],
[[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 39/262144],
[[[1, 2], [2, 5], [4, 5], [10, 1], [12, 1]], 7/55296],
[[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 17531/849346560],
[[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 31/11059200],
[[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 103/2654208],
[[[1, 2], [2, 5], [6, 1], [8, 2], [16, 1]], 7/73728],
[[[1, 2], [2, 5], [6, 3], [8, 1], [16, 1]], 1/27648],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 1/663552],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 5/2654208],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 287/283115520],
[[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 1/204800],
[[[1, 2], [2, 7], [3, 1], [4, 3], [12, 2]], 31/39813120],
[[[1, 2], [2, 7], [3, 1], [4, 3], [20, 1]], 31/11059200],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 67/10616832],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 11/14155776],
[[[1, 2], [2, 7], [3, 1], [4, 5], [8, 1]], 149/75497472],
[[[1, 2], [2, 7], [3, 1], [4, 5], [10, 1]], 1/786432],
[[[1, 2], [2, 7], [3, 1], [4, 5], [12, 1]], 31/159252480],
[[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 18859/10192158720],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 109/11943936],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 1/28311552],
[[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 1/921600],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 1/663552],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 59/21233664],
[[[1, 2], [2, 7], [3, 2], [4, 4], [10, 1]], 1/1179648],
[[[1, 2], [2, 7], [3, 2], [4, 5], [6, 1]], 1/2359296],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 1/131072],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 1/147456],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 1/663552],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 1/3317760],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 1/7864320],
[[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 21/256000],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 263/9437184],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 1/307200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 1/165888],
[[[1, 2], [2, 7], [4, 2], [6, 2], [16, 1]], 1/36864],
[[[1, 2], [2, 7], [4, 2], [6, 2], [20, 1]], 1/46080],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 5/589824],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/1105920],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 21/409600],
[[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 31/26542080],
[[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 199/5898240],
[[[1, 2], [2, 7], [4, 2], [8, 1], [20, 1]], 31/7372800],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 27/524288],
[[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 31/17694720],
[[[1, 2], [2, 7], [4, 2], [10, 1], [12, 2]], 1/138240],
[[[1, 2], [2, 7], [4, 2], [10, 1], [16, 1]], 1/15360],
[[[1, 2], [2, 7], [4, 2], [10, 1], [20, 1]], 1/38400],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 17447/283115520],
[[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 1/204800],
[[[1, 2], [2, 7], [4, 3], [6, 1], [12, 2]], 277/13271040],
[[[1, 2], [2, 7], [4, 3], [6, 1], [16, 1]], 1/32768],
[[[1, 2], [2, 7], [4, 3], [6, 1], [20, 1]], 277/3686400],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1/98304],
[[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 1/368640],
[[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 1/5898240],
[[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 11/1638400],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 1303/28311552],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 7/2949120],
[[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 1/41472],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 3173/23592960],
[[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 1837/106168320],
[[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 17/276480],
[[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 1793/75497472],
[[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 1/786432],
[[[1, 2], [2, 7], [4, 5], [6, 1], [12, 1]], 1357/53084160],
[[[1, 2], [2, 7], [6, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 2], [2, 7], [8, 1], [10, 1], [16, 1]], 1/61440],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 1/124416],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 7/884736],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 11/70778880],
[[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 7/614400],
[[[1, 2], [2, 9], [3, 1], [4, 2], [12, 2]], 1/39813120],
[[[1, 2], [2, 9], [3, 1], [4, 2], [16, 1]], 1/17694720],
[[[1, 2], [2, 9], [3, 1], [4, 2], [20, 1]], 1/11059200],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 1/165888],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 217/56623104],
[[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 61/212336640],
[[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 137/47185920],
[[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 7/159252480],
[[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 7/7077888],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 19/345600],
[[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 1/165888],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 37/1244160],
[[[1, 2], [2, 9], [3, 1], [8, 1], [16, 1]], 1/17694720],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 1/248832],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 31/5971968],
[[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 1/663552],
[[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 19/424673280],
[[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 37/169869312],
[[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 1/345600],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 19/622080],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 29/4718592],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 1/30720],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 203/21233664],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 7/552960],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 43/1638400],
[[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 37/35389440],
[[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 1/262144],
[[[1, 2], [2, 9], [4, 1], [8, 2], [12, 1]], 1/17694720],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 1/1658880],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 157/18874368],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 1/40960],
[[[1, 2], [2, 9], [4, 2], [6, 1], [12, 2]], 7/13271040],
[[[1, 2], [2, 9], [4, 2], [6, 1], [16, 1]], 3/655360],
[[[1, 2], [2, 9], [4, 2], [6, 1], [20, 1]], 7/3686400],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 133/7077888],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 17/1105920],
[[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 1/29491200],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 49/3932160],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 11/737280],
[[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 119/6553600],
[[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 13/23592960],
[[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 1/9437184],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 611/41943040],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 277/47185920],
[[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 229/53084160],
[[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 1/96000],
[[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 1/172800],
[[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 2], [2, 9], [6, 1], [8, 1], [16, 1]], 7/5898240],
[[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 1/245760],
[[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 83/10616832],
[[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 1/491520],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 83/17694720],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 179/70778880],
[[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 67/754974720],
[[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 1/2457600],
[[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 841/1509949440],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 61/5529600],
[[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 1/589824],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 277/9953280],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 1/884736],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 17/63700992],
[[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 19/265420800],
[[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 1/26542080],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 1/737280],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 23/47185920],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 31/819200],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 43/6635520],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 13/491520],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 13/88473600],
[[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 13/147456000],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 169/23592960],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 127/7372800],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 143/39321600],
[[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 1/53084160],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 6787/2264924160],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 589/58982400],
[[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 1/614400],
[[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 29/2949120],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 67/39813120],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 181/339738624],
[[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1/301989888],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 169/1415577600],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 71/849346560],
[[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 1/17694720],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 41/16588800],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 1/26542080],
[[[1, 2], [2, 13], [3, 2], [4, 1], [8, 1]], 1/20384317440],
[[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 91/15288238080],
[[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 1/66355200],
[[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 1/5662310400],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 3259/3397386240],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 19/1966080],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 269/943718400],
[[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 19/4246732800],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 643/1509949440],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 211/56623104],
[[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 1/18432000],
[[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 23/29491200],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 661/10192158720],
[[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 91/815372697600],
[[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 1/188743680],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 1057/90596966400],
[[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 1/3397386240],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 211/6370099200],
[[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 1/5096079360],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 7361/271790899200],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 1603/2831155200],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 11/16986931200],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 35/393216],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 511/4718592],
[[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 1/24576],
[[[1, 3], [2, 2], [3, 1], [4, 5], [20, 1]], 3/20480],
[[[1, 3], [2, 2], [3, 1], [4, 7], [5, 1]], 1/11059200],
[[[1, 3], [2, 2], [3, 1], [4, 7], [6, 2]], 1/6635520],
[[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 43/11796480],
[[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 1/98304],
[[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 13/53084160],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 1/49152],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 317/7077888],
[[[1, 3], [2, 2], [3, 2], [4, 4], [12, 2]], 7/165888],
[[[1, 3], [2, 2], [3, 2], [4, 4], [20, 1]], 7/46080],
[[[1, 3], [2, 2], [3, 2], [4, 6], [8, 1]], 31/26542080],
[[[1, 3], [2, 2], [3, 2], [4, 6], [12, 1]], 7/663552],
[[[1, 3], [2, 2], [3, 2], [4, 7], [6, 1]], 7/39813120],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 2]], 1/864],
[[[1, 3], [2, 2], [3, 2], [6, 2], [18, 2]], 1/2592],
[[[1, 3], [2, 2], [3, 2], [8, 2], [16, 1]], 1/18432],
[[[1, 3], [2, 2], [3, 3], [4, 3], [8, 2]], 1/221184],
[[[1, 3], [2, 2], [3, 3], [4, 3], [12, 2]], 1/62208],
[[[1, 3], [2, 2], [3, 3], [4, 3], [20, 1]], 1/17280],
[[[1, 3], [2, 2], [3, 3], [4, 5], [12, 1]], 1/248832],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 1/648],
[[[1, 3], [2, 2], [3, 3], [6, 4], [9, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 3], [6, 4], [18, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 5], [6, 2], [18, 1]], 1/6912],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 3/40960],
[[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 1/18432],
[[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 157/196608],
[[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 1/5120],
[[[1, 3], [2, 2], [4, 2], [8, 3], [12, 1]], 1/6144],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 91/1179648],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 269/1966080],
[[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 1/15360],
[[[1, 3], [2, 2], [4, 4], [5, 1], [20, 1]], 3/12800],
[[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 7/786432],
[[[1, 3], [2, 2], [4, 4], [6, 2], [12, 2]], 5/165888],
[[[1, 3], [2, 2], [4, 4], [6, 2], [20, 1]], 1/9216],
[[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 109/442368],
[[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 23/131072],
[[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 109/122880],
[[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 1/131072],
[[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 91/294912],
[[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 1/46080],
[[[1, 3], [2, 2], [4, 4], [10, 1], [20, 1]], 1/12800],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 511/4718592],
[[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 1/24576],
[[[1, 3], [2, 2], [4, 5], [6, 1], [20, 1]], 3/20480],
[[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 31/7372800],
[[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 1/61440],
[[[1, 3], [2, 2], [4, 6], [6, 2], [12, 1]], 5/663552],
[[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 271/1769472],
[[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 1/184320],
[[[1, 3], [2, 2], [4, 7], [5, 1], [6, 1]], 1/11059200],
[[[1, 3], [2, 2], [4, 7], [6, 1], [8, 1]], 127/35389440],
[[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 1/98304],
[[[1, 3], [2, 2], [5, 1], [8, 2], [16, 1]], 1/5120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 43/393216],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 781/1572864],
[[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 53/331776],
[[[1, 3], [2, 4], [3, 1], [4, 4], [16, 1]], 3/32768],
[[[1, 3], [2, 4], [3, 1], [4, 4], [20, 1]], 53/92160],
[[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 217/39813120],
[[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 3919/47185920],
[[[1, 3], [2, 4], [3, 1], [4, 6], [10, 1]], 31/11059200],
[[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 67/663552],
[[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 23/2949120],
[[[1, 3], [2, 4], [3, 1], [8, 2], [16, 1]], 1/8192],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 61/1769472],
[[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 11/248832],
[[[1, 3], [2, 4], [3, 2], [4, 3], [16, 1]], 5/73728],
[[[1, 3], [2, 4], [3, 2], [4, 3], [20, 1]], 11/69120],
[[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 1171/28311552],
[[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 7/124416],
[[[1, 3], [2, 4], [3, 2], [4, 6], [6, 1]], 31/6635520],
[[[1, 3], [2, 4], [3, 2], [6, 4], [9, 1]], 1/1152],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 17/5184],
[[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 1/1769472],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/576],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 5/1728],
[[[1, 3], [2, 4], [3, 3], [6, 4], [12, 1]], 11/12288],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 1/49152],
[[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 171/262144],
[[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 3/40960],
[[[1, 3], [2, 4], [4, 1], [8, 3], [12, 1]], 1/12288],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 19/131072],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 13/884736],
[[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 1/62208],
[[[1, 3], [2, 4], [4, 2], [6, 3], [16, 1]], 1/27648],
[[[1, 3], [2, 4], [4, 2], [6, 3], [20, 1]], 1/17280],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 4], [4, 3], [5, 1], [12, 2]], 1/34560],
[[[1, 3], [2, 4], [4, 3], [5, 1], [16, 1]], 1/20480],
[[[1, 3], [2, 4], [4, 3], [5, 1], [20, 1]], 1/9600],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 35/196608],
[[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 23/248832],
[[[1, 3], [2, 4], [4, 3], [6, 2], [16, 1]], 7/73728],
[[[1, 3], [2, 4], [4, 3], [6, 2], [20, 1]], 23/69120],
[[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 1/5308416],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 1/409600],
[[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 139/589824],
[[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 163/196608],
[[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 139/163840],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 21/40960],
[[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 157/294912],
[[[1, 3], [2, 4], [4, 3], [10, 1], [12, 2]], 1/8640],
[[[1, 3], [2, 4], [4, 3], [10, 1], [16, 1]], 3/20480],
[[[1, 3], [2, 4], [4, 3], [10, 1], [20, 1]], 1/2400],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 869/1572864],
[[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 119/663552],
[[[1, 3], [2, 4], [4, 4], [6, 1], [16, 1]], 3/32768],
[[[1, 3], [2, 4], [4, 4], [6, 1], [20, 1]], 119/184320],
[[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 121/5308416],
[[[1, 3], [2, 4], [4, 4], [6, 3], [12, 1]], 7/248832],
[[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 239/7864320],
[[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 11/276480],
[[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 937/14155776],
[[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 43/497664],
[[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 157/1310720],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 131/262144],
[[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 7/55296],
[[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 2401/28311552],
[[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 31/11059200],
[[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 281/2654208],
[[[1, 3], [2, 4], [6, 1], [8, 2], [16, 1]], 5/24576],
[[[1, 3], [2, 4], [6, 3], [8, 1], [16, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/663552],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 5/294912],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 337/6291456],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 1/204800],
[[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 95/2654208],
[[[1, 3], [2, 6], [3, 1], [4, 3], [16, 1]], 7/73728],
[[[1, 3], [2, 6], [3, 1], [4, 3], [20, 1]], 19/147456],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 11/589824],
[[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1/3932160],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 67/3538944],
[[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 25297/226492416],
[[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 3/131072],
[[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 875/10616832],
[[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 45629/2038431744],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/62208],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 109/3981312],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 5/9437184],
[[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 1/307200],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 139/3981312],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 911/21233664],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 143/28311552],
[[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 17/5898240],
[[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 179/14155776],
[[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 1/41472],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1/62208],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 43/995328],
[[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 73/3981312],
[[[1, 3], [2, 6], [3, 3], [4, 3], [10, 1]], 1/1105920],
[[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 5/3538944],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 17/393216],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/49152],
[[[1, 3], [2, 6], [4, 1], [6, 3], [16, 1]], 1/27648],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/1990656],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 1/1105920],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 1/524288],
[[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 63/256000],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 5723/28311552],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 1/921600],
[[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 7/165888],
[[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 5/36864],
[[[1, 3], [2, 6], [4, 2], [6, 2], [20, 1]], 7/46080],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 5/589824],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/3317760],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 21/409600],
[[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 23/1769472],
[[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 971/2949120],
[[[1, 3], [2, 6], [4, 2], [8, 1], [20, 1]], 23/491520],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 1513/2621440],
[[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 37/393216],
[[[1, 3], [2, 6], [4, 2], [10, 1], [12, 2]], 7/138240],
[[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 6], [4, 2], [10, 1], [20, 1]], 7/38400],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 1/1105920],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 2041/6291456],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/204800],
[[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 733/7962624],
[[[1, 3], [2, 6], [4, 3], [6, 1], [16, 1]], 49/294912],
[[[1, 3], [2, 6], [4, 3], [6, 1], [20, 1]], 733/2211840],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 85/884736],
[[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 1/368640],
[[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 1/27648],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/1179648],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 7/1572864],
[[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 11/327680],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 2585/14155776],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 11/2949120],
[[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 19/165888],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 5737/11796480],
[[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 1673/7077888],
[[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 13/55296],
[[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 1/3932160],
[[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 38701/226492416],
[[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 3/131072],
[[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 4585/31850496],
[[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 6], [6, 2], [8, 1], [16, 1]], 7/73728],
[[[1, 3], [2, 6], [8, 1], [10, 1], [16, 1]], 7/61440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 67/2985984],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 251/7962624],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 13/4718592],
[[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 23/614400],
[[[1, 3], [2, 8], [3, 1], [4, 2], [12, 2]], 31/39813120],
[[[1, 3], [2, 8], [3, 1], [4, 2], [16, 1]], 31/17694720],
[[[1, 3], [2, 8], [3, 1], [4, 2], [20, 1]], 31/11059200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 11/221184],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 167/6291456],
[[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 33721/3397386240],
[[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 49/3145728],
[[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 217/159252480],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 2105/113246208],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 1/103680],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 1/147456],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 7/115200],
[[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 37/1990656],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 13/414720],
[[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 3], [2, 8], [3, 1], [8, 1], [16, 1]], 31/17694720],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 37/663552],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1/14155776],
[[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1/92160],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 101/1990656],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 91/2654208],
[[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 11/15728640],
[[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 1/138240],
[[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 1057/169869312],
[[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 25/995328],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 7/69120],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 25/1492992],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 1/248832],
[[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 1/21233664],
[[[1, 3], [2, 8], [3, 3], [4, 3], [6, 1]], 1/1990656],
[[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 1/103680],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 7/1658880],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 1/3932160],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 49/384000],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 15/524288],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 1/30720],
[[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1/73728],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 1055/63700992],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 7/552960],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 319/4915200],
[[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 311/17694720],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 47/1310720],
[[[1, 3], [2, 8], [4, 1], [8, 2], [12, 1]], 31/17694720],
[[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 1/61440],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 1/276480],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 23789/283115520],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 83/1843200],
[[[1, 3], [2, 8], [4, 2], [6, 1], [12, 2]], 97/13271040],
[[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 277/5898240],
[[[1, 3], [2, 8], [4, 2], [6, 1], [20, 1]], 97/3686400],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 1069/21233664],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 101/3317760],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 1/368640],
[[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 1/1638400],
[[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 53/1228800],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 1991/17694720],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 79/2211840],
[[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 13327/58982400],
[[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 827/35389440],
[[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 43/47185920],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 41149/377487360],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 947/47185920],
[[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 2299/53084160],
[[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 1/32000],
[[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 1/57600],
[[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 3], [2, 8], [6, 1], [8, 1], [16, 1]], 97/5898240],
[[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 4781/95551488],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 37/283115520],
[[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 121/7372800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [16, 1]], 1/17694720],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 3271/79626240],
[[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 1/44236800],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 2009/70778880],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 12161/6794772480],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 223/19660800],
[[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 1/17694720],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 12593/1509949440],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 1/368640],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 1/4718592],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 89/1843200],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 277/15925248],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 281/3317760],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 799/26542080],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 259/21233664],
[[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 1/7864320],
[[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 11/9830400],
[[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 233/106168320],
[[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 47/53084160],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 61/2211840],
[[[1, 3], [2, 10], [3, 2], [8, 1], [10, 1]], 1/8847360],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 47/79626240],
[[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 1/13271040],
[[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 19/159252480],
[[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 1/3317760],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 49/13271040],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 211/31457280],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 673/7372800],
[[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 7/5898240],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 1121/39813120],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 173/2654208],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 53/29491200],
[[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 23/117964800],
[[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 103/49152000],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 313/7864320],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 413/5529600],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 473/14745600],
[[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 71/106168320],
[[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 7/6553600],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 241699/6794772480],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 7787/176947200],
[[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 41/17694720],
[[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 1/983040],
[[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 29/1843200],
[[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 83/2949120],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 37/1866240],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 1217/113246208],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 55/339738624],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 3211/1415577600],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 2957/1132462080],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 1/11059200],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 41/26542080],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 113/5529600],
[[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 1/11059200],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 511/318504960],
[[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 1/452984832],
[[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 7/53084160],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 1729/5096079360],
[[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 1/106168320],
[[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 13/22118400],
[[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 1/159252480],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 13/17694720],
[[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 1/125829120],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 67/221184000],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 89821/10192158720],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 137/2949120],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 11087/2831155200],
[[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 1/212336640],
[[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 163/1415577600],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 6449/1132462080],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 134491/4246732800],
[[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 1/29491200],
[[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 23/18432000],
[[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 173/29491200],
[[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 1/8493465600],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 11081/7644119040],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 1391/271790899200],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 593/4246732800],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 309223/815372697600],
[[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 1/2123366400],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 211/10192158720],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 677/1061683200],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 67/3397386240],
[[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 181/8493465600],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 398741/815372697600],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 847/157286400],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 27491/1223059046400],
[[[1, 3], [3, 2], [4, 1], [8, 2], [16, 1]], 1/18432],
[[[1, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/41472],
[[[1, 3], [3, 2], [4, 3], [8, 1], [20, 1]], 1/11520],
[[[1, 3], [3, 2], [4, 5], [8, 1], [12, 1]], 1/165888],
[[[1, 3], [3, 3], [4, 2], [6, 2], [12, 2]], 1/18432],
[[[1, 3], [3, 3], [5, 1], [6, 2], [15, 1]], 1/1440],
[[[1, 3], [3, 3], [5, 1], [12, 1], [15, 1]], 1/240],
[[[1, 3], [4, 1], [5, 1], [8, 2], [16, 1]], 1/5120],
[[[1, 3], [4, 3], [5, 1], [8, 1], [12, 2]], 1/11520],
[[[1, 3], [4, 3], [5, 1], [8, 1], [20, 1]], 1/3200],
[[[1, 3], [4, 5], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 17/1179648],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 7/1572864],
[[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 1/73728],
[[[1, 4], [2, 1], [3, 1], [4, 5], [20, 1]], 1/20480],
[[[1, 4], [2, 1], [3, 1], [4, 7], [5, 1]], 1/11059200],
[[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 7/106168320],
[[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 1/294912],
[[[1, 4], [2, 1], [3, 1], [4, 8], [6, 1]], 1/17694720],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/49152],
[[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 269/7077888],
[[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 1/55296],
[[[1, 4], [2, 1], [3, 2], [4, 4], [20, 1]], 1/15360],
[[[1, 4], [2, 1], [3, 2], [4, 6], [8, 1]], 31/26542080],
[[[1, 4], [2, 1], [3, 2], [4, 6], [12, 1]], 1/221184],
[[[1, 4], [2, 1], [3, 2], [4, 7], [6, 1]], 1/39813120],
[[[1, 4], [2, 1], [3, 2], [8, 2], [16, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 3], [4, 3], [8, 2]], 1/221184],
[[[1, 4], [2, 1], [3, 3], [4, 3], [12, 2]], 1/62208],
[[[1, 4], [2, 1], [3, 3], [4, 3], [20, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 3], [4, 5], [12, 1]], 1/248832],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 1/648],
[[[1, 4], [2, 1], [3, 4], [4, 2], [12, 2]], 1/3072],
[[[1, 4], [2, 1], [3, 4], [5, 1], [15, 1]], 1/240],
[[[1, 4], [2, 1], [3, 4], [6, 3], [9, 1]], 7/20736],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 7/20736],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 3/40960],
[[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 31/196608],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 269/1966080],
[[[1, 4], [2, 1], [4, 4], [5, 1], [12, 2]], 1/15360],
[[[1, 4], [2, 1], [4, 4], [5, 1], [20, 1]], 3/12800],
[[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 31/442368],
[[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 17/262144],
[[[1, 4], [2, 1], [4, 4], [8, 1], [20, 1]], 31/122880],
[[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 1/32768],
[[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 7/1572864],
[[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/73728],
[[[1, 4], [2, 1], [4, 5], [6, 1], [20, 1]], 1/20480],
[[[1, 4], [2, 1], [4, 6], [5, 1], [8, 1]], 31/7372800],
[[[1, 4], [2, 1], [4, 6], [5, 1], [12, 1]], 1/61440],
[[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 85/1769472],
[[[1, 4], [2, 1], [4, 7], [5, 1], [6, 1]], 1/11059200],
[[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 1/294912],
[[[1, 4], [2, 1], [5, 1], [8, 2], [16, 1]], 1/5120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 19/131072],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 869/1572864],
[[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 119/663552],
[[[1, 4], [2, 3], [3, 1], [4, 4], [16, 1]], 3/32768],
[[[1, 4], [2, 3], [3, 1], [4, 4], [20, 1]], 119/184320],
[[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 31/11059200],
[[[1, 4], [2, 3], [3, 1], [4, 6], [6, 2]], 31/6635520],
[[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 2401/28311552],
[[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 281/2654208],
[[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 23/2949120],
[[[1, 4], [2, 3], [3, 1], [8, 2], [16, 1]], 5/24576],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 1/49152],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 35/196608],
[[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 23/248832],
[[[1, 4], [2, 3], [3, 2], [4, 3], [16, 1]], 7/73728],
[[[1, 4], [2, 3], [3, 2], [4, 3], [20, 1]], 23/69120],
[[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 937/14155776],
[[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 43/497664],
[[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 217/39813120],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 13/884736],
[[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 1/62208],
[[[1, 4], [2, 3], [3, 3], [4, 2], [16, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 3], [4, 2], [20, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 121/5308416],
[[[1, 4], [2, 3], [3, 3], [4, 4], [12, 1]], 7/248832],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 5/1728],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/576],
[[[1, 4], [2, 3], [3, 3], [8, 1], [16, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 1/5308416],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 17/5184],
[[[1, 4], [2, 3], [3, 4], [6, 2], [18, 1]], 1/1152],
[[[1, 4], [2, 3], [3, 4], [6, 3], [12, 1]], 11/12288],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 3/40960],
[[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 171/262144],
[[[1, 4], [2, 3], [4, 1], [8, 3], [12, 1]], 1/12288],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 43/393216],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 21/40960],
[[[1, 4], [2, 3], [4, 3], [5, 1], [12, 2]], 1/8640],
[[[1, 4], [2, 3], [4, 3], [5, 1], [16, 1]], 3/20480],
[[[1, 4], [2, 3], [4, 3], [5, 1], [20, 1]], 1/2400],
[[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 1/409600],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 61/1769472],
[[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 11/248832],
[[[1, 4], [2, 3], [4, 3], [6, 2], [16, 1]], 5/73728],
[[[1, 4], [2, 3], [4, 3], [6, 2], [20, 1]], 11/69120],
[[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 139/589824],
[[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 163/196608],
[[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 139/163840],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 157/294912],
[[[1, 4], [2, 3], [4, 3], [10, 1], [12, 2]], 1/34560],
[[[1, 4], [2, 3], [4, 3], [10, 1], [16, 1]], 1/20480],
[[[1, 4], [2, 3], [4, 3], [10, 1], [20, 1]], 1/9600],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 781/1572864],
[[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 53/331776],
[[[1, 4], [2, 3], [4, 4], [6, 1], [16, 1]], 3/32768],
[[[1, 4], [2, 3], [4, 4], [6, 1], [20, 1]], 53/92160],
[[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 1/1769472],
[[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 157/1310720],
[[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 7/55296],
[[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 1171/28311552],
[[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 7/124416],
[[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 239/7864320],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 131/262144],
[[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 11/276480],
[[[1, 4], [2, 3], [4, 6], [5, 1], [6, 1]], 31/11059200],
[[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 3919/47185920],
[[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 67/663552],
[[[1, 4], [2, 3], [6, 1], [8, 2], [16, 1]], 1/8192],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 9/131072],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1/1990656],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 133/7962624],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 14909/18874368],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 1/614400],
[[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 385/2654208],
[[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 53/147456],
[[[1, 4], [2, 5], [3, 1], [4, 3], [20, 1]], 77/147456],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 23/589824],
[[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 1/786432],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 179/2359296],
[[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 100627/226492416],
[[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 3/131072],
[[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 3253/10616832],
[[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 260549/3397386240],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 3]], 1/24576],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/62208],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 205/3981312],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 463/9437184],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 1/307200],
[[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 7/497664],
[[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 11/110592],
[[[1, 4], [2, 5], [3, 2], [4, 2], [20, 1]], 7/138240],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 191/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 1/1179648],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1603/10616832],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 15233/84934656],
[[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 11/2949120],
[[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 23/248832],
[[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 989/14155776],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 1/41472],
[[[1, 4], [2, 5], [3, 2], [8, 1], [16, 1]], 7/221184],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 7/62208],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 59/331776],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 19/147456],
[[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 5/884736],
[[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 1/368640],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 295/10616832],
[[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 1/10368],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 397/11943936],
[[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 1/3317760],
[[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 1/663552],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 41/393216],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 7/442368],
[[[1, 4], [2, 5], [4, 1], [6, 3], [16, 1]], 1/27648],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 1/1105920],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 27/524288],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 63/256000],
[[[1, 4], [2, 5], [4, 2], [5, 1], [12, 2]], 1/138240],
[[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 2], [5, 1], [20, 1]], 1/38400],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 1/921600],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 21/256000],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 2129/9437184],
[[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 25/497664],
[[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 23/110592],
[[[1, 4], [2, 5], [4, 2], [6, 2], [20, 1]], 5/27648],
[[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 5/1769472],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 7/409600],
[[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 89/1769472],
[[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 4517/4718592],
[[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 89/491520],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 1513/2621440],
[[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 155/393216],
[[[1, 4], [2, 5], [4, 2], [10, 1], [12, 2]], 7/138240],
[[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 2], [10, 1], [20, 1]], 7/38400],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 1/368640],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 56879/56623104],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/614400],
[[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 1459/7962624],
[[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 119/294912],
[[[1, 4], [2, 5], [4, 3], [6, 1], [20, 1]], 1459/2211840],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 31/331776],
[[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 1/1105920],
[[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 1/27648],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 7/2949120],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 3173/23592960],
[[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 11/163840],
[[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 17/276480],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 13279/42467328],
[[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 17/5898240],
[[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 91/497664],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 5737/11796480],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 5195/7077888],
[[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 13/55296],
[[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 1/786432],
[[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 109661/226492416],
[[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 3/131072],
[[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 10999/31850496],
[[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 4], [2, 5], [5, 1], [8, 1], [16, 1]], 1/61440],
[[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 5], [6, 2], [8, 1], [16, 1]], 25/221184],
[[[1, 4], [2, 5], [8, 1], [10, 1], [16, 1]], 7/61440],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 67/2985984],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 2243/23887872],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 15319/283115520],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 83/1843200],
[[[1, 4], [2, 7], [3, 1], [4, 2], [12, 2]], 19/2654208],
[[[1, 4], [2, 7], [3, 1], [4, 2], [16, 1]], 95/1179648],
[[[1, 4], [2, 7], [3, 1], [4, 2], [20, 1]], 19/737280],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 583/3981312],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 137/47185920],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 23419/169869312],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 288341/1132462080],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 3673/47185920],
[[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 925/10616832],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 4561/37748736],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 37/1244160],
[[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 7/32000],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 23/884736],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 1/38400],
[[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 13/663552],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1/82944],
[[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 4], [2, 7], [3, 1], [8, 1], [16, 1]], 19/1179648],
[[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 1/49152],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 341/1990656],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 5/4718592],
[[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 1/30720],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 35/147456],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 13/49152],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 541/35389440],
[[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 7/245760],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 14335/169869312],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 19/622080],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 1/884736],
[[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 7/115200],
[[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 35/331776],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 37/207360],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 41/248832],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 367/3981312],
[[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 5/7077888],
[[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 1/122880],
[[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 19/1327104],
[[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 1/165888],
[[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 73/622080],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 1/248832],
[[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 1/63700992],
[[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 7/11943936],
[[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 1/1244160],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 7/552960],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 1/262144],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 187/384000],
[[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 1/4915200],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 1531/14155776],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 1/92160],
[[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 7/73728],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 847/63700992],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 7/1658880],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 319/4915200],
[[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 2123/17694720],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 899/3932160],
[[[1, 4], [2, 7], [4, 1], [8, 2], [12, 1]], 23/1179648],
[[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 7/61440],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 17/1105920],
[[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 1/921600],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 7003/18874368],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 23/614400],
[[[1, 4], [2, 7], [4, 2], [6, 1], [12, 2]], 253/7962624],
[[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 733/3538944],
[[[1, 4], [2, 7], [4, 2], [6, 1], [20, 1]], 253/2211840],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 2995/21233664],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 29/1105920],
[[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 1/82944],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 11/737280],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 119/6553600],
[[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 99/409600],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 2957/7077888],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 11/245760],
[[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 1/9216],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 2341/2949120],
[[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 6793/35389440],
[[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 1/6144],
[[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 277/47185920],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 1707443/3397386240],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 1261/15728640],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 6415/31850496],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 1/245760],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 23/96000],
[[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 1/92160],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 13/172800],
[[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 1/96000],
[[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 4], [2, 7], [6, 1], [8, 1], [16, 1]], 253/3538944],
[[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 7/245760],
[[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 11651/95551488],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 233/94371840],
[[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 439/7372800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [16, 1]], 31/17694720],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 43681/238878720],
[[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 1/2457600],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 10367/70778880],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 50843/2264924160],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 10669/176947200],
[[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 31/17694720],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 1028027/13589544960],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 277/9953280],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 77/14155776],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 517/5529600],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 281/5308416],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 1189/9953280],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 14387/79626240],
[[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 19/265420800],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 1345/10616832],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 157/70778880],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 127/7372800],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 91/2949120],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 1/737280],
[[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 1/5529600],
[[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 977/53084160],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 173/1327104],
[[[1, 4], [2, 9], [3, 2], [8, 1], [10, 1]], 1/589824],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 1387/79626240],
[[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 23/318504960],
[[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 1/884736],
[[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 607/159252480],
[[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 1/5308416],
[[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 61/9953280],
[[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 1/7962624],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 13/491520],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 12677/283115520],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 767/7372800],
[[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 97/5898240],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 1861/31850496],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 991/13271040],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 127/7372800],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 143/39321600],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 1333/18432000],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 3583/23592960],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 667/4423680],
[[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 1/221184],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 1799/9830400],
[[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 1151/106168320],
[[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 1/184320],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 589/58982400],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 231091/1132462080],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 6563/58982400],
[[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 157/5898240],
[[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 29/2949120],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 41/614400],
[[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 19/1843200],
[[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 109/2949120],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 45037/477757440],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 169/1415577600],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 9221/113246208],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 1819/679477248],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 79561/4246732800],
[[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 1/53084160],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 286213/10192158720],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 41/16588800],
[[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 13/55296000],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 113/8847360],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 1603/22118400],
[[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 1/614400],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 7357/318504960],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 431/3397386240],
[[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 43/17694720],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 35389/5096079360],
[[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 1/66355200],
[[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 13/35389440],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 511/66355200],
[[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 29/79626240],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 19/1966080],
[[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 269/943718400],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 1411/221184000],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 254641/6794772480],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 977/8847360],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 120859/5662310400],
[[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 37/212336640],
[[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 211/56623104],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 7537/188743680],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 83863/707788800],
[[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 7/17694720],
[[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 23/29491200],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 13/1152000],
[[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 571/29491200],
[[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 1/188743680],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 206509/15288238080],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 96403/815372697600],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 7757/4246732800],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 13131763/2446118092800],
[[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 211/6370099200],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 677/1698693120],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 5477/1061683200],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 5279/10192158720],
[[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 1603/2831155200],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 670979/163074539520],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 106601/4246732800],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 462221/1223059046400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 17/393216],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 1339/14155776],
[[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 49/663552],
[[[1, 5], [2, 2], [3, 1], [4, 4], [16, 1]], 1/32768],
[[[1, 5], [2, 2], [3, 1], [4, 4], [20, 1]], 49/184320],
[[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 31/11059200],
[[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 17531/849346560],
[[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 103/2654208],
[[[1, 5], [2, 2], [3, 1], [4, 7], [6, 1]], 289/159252480],
[[[1, 5], [2, 2], [3, 1], [8, 2], [16, 1]], 7/73728],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 1/49152],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 275/1769472],
[[[1, 5], [2, 2], [3, 2], [4, 3], [12, 2]], 5/82944],
[[[1, 5], [2, 2], [3, 2], [4, 3], [16, 1]], 1/24576],
[[[1, 5], [2, 2], [3, 2], [4, 3], [20, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 53/1572864],
[[[1, 5], [2, 2], [3, 2], [4, 5], [12, 1]], 7/165888],
[[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 31/39813120],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 5/294912],
[[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 1/62208],
[[[1, 5], [2, 2], [3, 3], [4, 2], [16, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [4, 2], [20, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 121/5308416],
[[[1, 5], [2, 2], [3, 3], [4, 4], [12, 1]], 7/248832],
[[[1, 5], [2, 2], [3, 3], [8, 1], [16, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 1/1769472],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 5/1728],
[[[1, 5], [2, 2], [3, 4], [6, 2], [18, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 11/5184],
[[[1, 5], [2, 2], [3, 5], [6, 2], [12, 1]], 5/12288],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 3/40960],
[[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 37/262144],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 21/40960],
[[[1, 5], [2, 2], [4, 3], [5, 1], [12, 2]], 1/8640],
[[[1, 5], [2, 2], [4, 3], [5, 1], [16, 1]], 3/20480],
[[[1, 5], [2, 2], [4, 3], [5, 1], [20, 1]], 1/2400],
[[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 3/409600],
[[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 37/589824],
[[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 113/393216],
[[[1, 5], [2, 2], [4, 3], [8, 1], [20, 1]], 37/163840],
[[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 31/294912],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 119/4718592],
[[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 7/165888],
[[[1, 5], [2, 2], [4, 4], [6, 1], [16, 1]], 1/32768],
[[[1, 5], [2, 2], [4, 4], [6, 1], [20, 1]], 7/46080],
[[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 157/1310720],
[[[1, 5], [2, 2], [4, 5], [5, 1], [12, 1]], 7/55296],
[[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 5/9437184],
[[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 1/2621440],
[[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 39/262144],
[[[1, 5], [2, 2], [4, 6], [5, 1], [6, 1]], 31/11059200],
[[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 39/2097152],
[[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 41/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 41/393216],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/614400],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 1/663552],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 56879/56623104],
[[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 1459/7962624],
[[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 119/294912],
[[[1, 5], [2, 4], [3, 1], [4, 3], [20, 1]], 1459/2211840],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 295/10616832],
[[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 3/131072],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 989/14155776],
[[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 109661/226492416],
[[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 1/786432],
[[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 10999/31850496],
[[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 260549/3397386240],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 3]], 1/24576],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 397/11943936],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 2129/9437184],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 1/921600],
[[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 25/497664],
[[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 23/110592],
[[[1, 5], [2, 4], [3, 2], [4, 2], [20, 1]], 5/27648],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 19/147456],
[[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 17/5898240],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1603/10616832],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 13279/42467328],
[[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 7/2949120],
[[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 91/497664],
[[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 179/2359296],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 5], [2, 4], [3, 2], [8, 1], [16, 1]], 25/221184],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 1/10368],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 7/442368],
[[[1, 5], [2, 4], [3, 3], [4, 1], [16, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 59/331776],
[[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 1/1105920],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 191/1327104],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 31/331776],
[[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 1/368640],
[[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 23/589824],
[[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 7/62208],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 205/3981312],
[[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 5/1769472],
[[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 1/1105920],
[[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 133/7962624],
[[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/62208],
[[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1/1990656],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 9/131072],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 1/3317760],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 1513/2621440],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 21/256000],
[[[1, 5], [2, 4], [4, 2], [5, 1], [12, 2]], 7/138240],
[[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 1/3840],
[[[1, 5], [2, 4], [4, 2], [5, 1], [20, 1]], 7/38400],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 1/307200],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 7/409600],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 63/256000],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 463/9437184],
[[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 7/497664],
[[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 11/110592],
[[[1, 5], [2, 4], [4, 2], [6, 2], [20, 1]], 7/138240],
[[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 89/1769472],
[[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 4517/4718592],
[[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 89/491520],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 27/524288],
[[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 155/393216],
[[[1, 5], [2, 4], [4, 2], [10, 1], [12, 2]], 1/138240],
[[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 2], [10, 1], [20, 1]], 1/38400],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 1/368640],
[[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 1/614400],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 14909/18874368],
[[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 385/2654208],
[[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 53/147456],
[[[1, 5], [2, 4], [4, 3], [6, 1], [20, 1]], 77/147456],
[[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 5/884736],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 11/2949120],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 5737/11796480],
[[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 11/163840],
[[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 13/55296],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 15233/84934656],
[[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 1/1179648],
[[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 23/248832],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 3173/23592960],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 5195/7077888],
[[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 17/276480],
[[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 3/131072],
[[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 100627/226492416],
[[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 1/786432],
[[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 3253/10616832],
[[[1, 5], [2, 4], [5, 1], [8, 1], [16, 1]], 7/61440],
[[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 5], [2, 4], [6, 2], [8, 1], [16, 1]], 7/221184],
[[[1, 5], [2, 4], [8, 1], [10, 1], [16, 1]], 1/61440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 1/124416],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 671/7962624],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 156233/283115520],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 1/40960],
[[[1, 5], [2, 6], [3, 1], [4, 2], [12, 2]], 23/884736],
[[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 385/1179648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [20, 1]], 23/245760],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 221/995328],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 49/3145728],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 61729/169869312],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 223583/226492416],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 1261/15728640],
[[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 1217/3538944],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 36767/113246208],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 13/414720],
[[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 23/96000],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 1/57600],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 49/884736],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 1/345600],
[[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 5/663552],
[[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 1/1244160],
[[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 5], [2, 6], [3, 1], [8, 1], [16, 1]], 23/393216],
[[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 7/245760],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 5/24576],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 143/4718592],
[[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 1/30720],
[[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 7/221184],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 7553/11943936],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 1/138240],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 677/884736],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 14533/53084160],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 11/245760],
[[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 1/18432],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 55513/169869312],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 7/69120],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 11/294912],
[[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 19/345600],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 55/331776],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 73/622080],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 733/1492992],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 2105/3981312],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 253/21233664],
[[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 29/1105920],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 59/442368],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 1/103680],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 91/995328],
[[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 37/207360],
[[[1, 5], [2, 6], [3, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 175/1990656],
[[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 5/21233664],
[[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 7/1658880],
[[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 31/1990656],
[[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 1/1990656],
[[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 1/82944],
[[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 1/2985984],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 7/552960],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 47/1310720],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 187/384000],
[[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 1/61440],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 1/92160],
[[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 1/327680],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 49/384000],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 1619/14155776],
[[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 25/221184],
[[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 91/21233664],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 43/1638400],
[[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 389/1179648],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 899/3932160],
[[[1, 5], [2, 6], [4, 1], [8, 2], [12, 1]], 89/1179648],
[[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 7/61440],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 101/3317760],
[[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 1/153600],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 15013/18874368],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 7/614400],
[[[1, 5], [2, 6], [4, 2], [6, 1], [12, 2]], 355/7962624],
[[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 1459/3538944],
[[[1, 5], [2, 6], [4, 2], [6, 1], [20, 1]], 71/442368],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 2507/21233664],
[[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 1/122880],
[[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 1/82944],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 79/2211840],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 13327/58982400],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 313/614400],
[[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 1/30720],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 12227/21233664],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 7/245760],
[[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 1/6912],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 2341/2949120],
[[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 475/884736],
[[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 1/6144],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 947/47185920],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 781123/679477248],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 3673/47185920],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 13393/31850496],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 1/81920],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 7/32000],
[[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 1/92160],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 11/172800],
[[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 1/32000],
[[[1, 5], [2, 6], [6, 1], [8, 1], [16, 1]], 355/3538944],
[[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 1/49152],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 1/7372800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 5473/31850496],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 7403/283115520],
[[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 767/7372800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [16, 1]], 19/1179648],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 6859/15925248],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 223/19660800],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 98603/212336640],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 617897/2264924160],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 6433/35389440],
[[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 133/3538944],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 2360137/6794772480],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 281/3317760],
[[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 1/1843200],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 427/14155776],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 517/5529600],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 1285/15925248],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 877/9953280],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 2699/5308416],
[[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 11/9830400],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 19123/31850496],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 499/23592960],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 647/8294400],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 49307/212336640],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 61/2211840],
[[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 1/8847360],
[[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 1/368640],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 955/10616832],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 43/147456],
[[[1, 5], [2, 8], [3, 2], [8, 1], [10, 1]], 3/327680],
[[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 1/13271040],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 787/5308416],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 41/35389440],
[[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 29/2654208],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 3331/79626240],
[[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 1/3317760],
[[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 61/15925248],
[[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 113/3317760],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 95/31850496],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 173/2654208],
[[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 41/7372800],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 8867/56623104],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 439/7372800],
[[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 253/3538944],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 889/10616832],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 559/13271040],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 413/5529600],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 473/14745600],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 2527/6144000],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 2951/7077888],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 679/4423680],
[[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 7/221184],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 853/1474560],
[[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 7457/106168320],
[[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 7/184320],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 7787/176947200],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 2375939/3397386240],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 2461/11796480],
[[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 413/3538944],
[[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 83/2949120],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 389/1843200],
[[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 43/614400],
[[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 223/8847360],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 3209/13271040],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 3211/1415577600],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 533423/1698693120],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 306409/13589544960],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 4489/56623104],
[[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 31/53084160],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 276173/1698693120],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 113/5529600],
[[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 1/11059200],
[[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 299/55296000],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 4969/106168320],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 9131/66355200],
[[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 799/88473600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 7/53084160],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 7547/53084160],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 20129/10192158720],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 49/2949120],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 172253/3057647616],
[[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 13/22118400],
[[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 511/106168320],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 2599/66355200],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 497/79626240],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 137/2949120],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 11087/2831155200],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 1457/27648000],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 209639/2264924160],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 41/276480],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 129853/1887436800],
[[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 103/53084160],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 134491/4246732800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 5707/33554432],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 167437/707788800],
[[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 97/17694720],
[[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 173/29491200],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 11/192000],
[[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 617/17694720],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 593/4246732800],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 664513/10192158720],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 1167781/815372697600],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 97687/8493465600],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 1211659/32614907904],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 677/1061683200],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 1831/566231040],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 134797/6370099200],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 10357/1698693120],
[[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 847/157286400],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 1027799/54358179840],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 189553/2831155200],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 1347709/407686348800],
[[[1, 5], [3, 1], [4, 1], [8, 2], [16, 1]], 1/73728],
[[[1, 5], [3, 1], [4, 3], [8, 1], [12, 2]], 1/165888],
[[[1, 5], [3, 1], [4, 3], [8, 1], [20, 1]], 1/46080],
[[[1, 5], [3, 1], [4, 5], [8, 1], [12, 1]], 1/663552],
[[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/20480],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 1/131072],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 101/7077888],
[[[1, 6], [2, 1], [3, 1], [4, 4], [12, 2]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [4, 4], [20, 1]], 1/20480],
[[[1, 6], [2, 1], [3, 1], [4, 6], [8, 1]], 383/849346560],
[[[1, 6], [2, 1], [3, 1], [4, 6], [12, 1]], 1/294912],
[[[1, 6], [2, 1], [3, 1], [4, 7], [6, 1]], 1/159252480],
[[[1, 6], [2, 1], [3, 1], [8, 2], [16, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 7/589824],
[[[1, 6], [2, 1], [3, 2], [4, 3], [12, 2]], 1/82944],
[[[1, 6], [2, 1], [3, 2], [4, 3], [16, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 2], [4, 3], [20, 1]], 1/23040],
[[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 239/28311552],
[[[1, 6], [2, 1], [3, 2], [4, 5], [12, 1]], 1/82944],
[[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 1/294912],
[[[1, 6], [2, 1], [3, 3], [4, 4], [8, 1]], 1/1769472],
[[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 1/1769472],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 5/5184],
[[[1, 6], [2, 1], [3, 6], [6, 1], [12, 1]], 31/552960],
[[[1, 6], [2, 1], [4, 1], [8, 2], [16, 1]], 31/11796480],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 1/30720],
[[[1, 6], [2, 1], [4, 3], [5, 1], [12, 2]], 1/34560],
[[[1, 6], [2, 1], [4, 3], [5, 1], [16, 1]], 1/20480],
[[[1, 6], [2, 1], [4, 3], [5, 1], [20, 1]], 1/9600],
[[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 3/409600],
[[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 31/26542080],
[[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 3/131072],
[[[1, 6], [2, 1], [4, 3], [8, 1], [20, 1]], 31/7372800],
[[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 239/7864320],
[[[1, 6], [2, 1], [4, 5], [5, 1], [12, 1]], 11/276480],
[[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 301/106168320],
[[[1, 6], [2, 1], [4, 6], [6, 1], [8, 1]], 1/6291456],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 17/393216],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/204800],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 2041/6291456],
[[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 733/7962624],
[[[1, 6], [2, 3], [3, 1], [4, 3], [16, 1]], 49/294912],
[[[1, 6], [2, 3], [3, 1], [4, 3], [20, 1]], 733/2211840],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 5/3538944],
[[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 3/131072],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 179/14155776],
[[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 38701/226492416],
[[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 1/3932160],
[[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 4585/31850496],
[[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 45629/2038431744],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 1/921600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 5723/28311552],
[[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 7/165888],
[[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 5/36864],
[[[1, 6], [2, 3], [3, 2], [4, 2], [20, 1]], 7/46080],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 73/3981312],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 11/2949120],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 911/21233664],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 2585/14155776],
[[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/1179648],
[[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 19/165888],
[[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 67/3538944],
[[[1, 6], [2, 3], [3, 2], [8, 1], [16, 1]], 7/73728],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/49152],
[[[1, 6], [2, 3], [3, 3], [4, 1], [16, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 43/995328],
[[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 1/368640],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 139/3981312],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 85/884736],
[[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 1/1105920],
[[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 11/589824],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1/62208],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/3317760],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 109/3981312],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 5/589824],
[[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 1/1105920],
[[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 5/294912],
[[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 1/41472],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/62208],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/1990656],
[[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/663552],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 1513/2621440],
[[[1, 6], [2, 3], [4, 2], [5, 1], [12, 2]], 7/138240],
[[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 1/3840],
[[[1, 6], [2, 3], [4, 2], [5, 1], [20, 1]], 7/38400],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 1/307200],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 21/409600],
[[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 63/256000],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 5/9437184],
[[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 23/1769472],
[[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 971/2949120],
[[[1, 6], [2, 3], [4, 2], [8, 1], [20, 1]], 23/491520],
[[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 1/524288],
[[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 37/393216],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 3]], 1/1105920],
[[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 1/204800],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 337/6291456],
[[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 95/2654208],
[[[1, 6], [2, 3], [4, 3], [6, 1], [16, 1]], 7/73728],
[[[1, 6], [2, 3], [4, 3], [6, 1], [20, 1]], 19/147456],
[[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 17/5898240],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 5737/11796480],
[[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 11/327680],
[[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 13/55296],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 143/28311552],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 7/1572864],
[[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 1673/7077888],
[[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 3/131072],
[[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 25297/226492416],
[[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1/3932160],
[[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 875/10616832],
[[[1, 6], [2, 3], [5, 1], [8, 1], [16, 1]], 7/61440],
[[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 1/2985984],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 7/614400],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 31/1990656],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 15013/18874368],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 1/153600],
[[[1, 6], [2, 5], [3, 1], [4, 2], [12, 2]], 355/7962624],
[[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 1459/3538944],
[[[1, 6], [2, 5], [3, 1], [4, 2], [20, 1]], 71/442368],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 59/442368],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 3673/47185920],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 55513/169869312],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 781123/679477248],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 947/47185920],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 13393/31850496],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 36767/113246208],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 1/82944],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 1/49152],
[[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 1/32000],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 19/345600],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 7/32000],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 11/294912],
[[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 1/1990656],
[[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 6], [2, 5], [3, 1], [8, 1], [16, 1]], 355/3538944],
[[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 175/1990656],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 1619/14155776],
[[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 1/92160],
[[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 25/221184],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 2105/3981312],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 7/245760],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 677/884736],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 12227/21233664],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 79/2211840],
[[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 1/6912],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 61729/169869312],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 37/207360],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 1/345600],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 49/884736],
[[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 91/995328],
[[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 1/103680],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 733/1492992],
[[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 1/122880],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 7553/11943936],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 2507/21233664],
[[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 101/3317760],
[[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 1/82944],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 221/995328],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 73/622080],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 11/172800],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 55/331776],
[[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 7/69120],
[[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 5/24576],
[[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 91/21233664],
[[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 7/552960],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 671/7962624],
[[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 1/1244160],
[[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 5/663552],
[[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 13/414720],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 1/124416],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 7/1658880],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 899/3932160],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 49/384000],
[[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 7/61440],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 1/30720],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 43/1638400],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 187/384000],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 143/4718592],
[[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 7/221184],
[[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 5/21233664],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 1/327680],
[[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 389/1179648],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 47/1310720],
[[[1, 6], [2, 5], [4, 1], [8, 2], [12, 1]], 89/1179648],
[[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 1/61440],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 29/1105920],
[[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 1/40960],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 156233/283115520],
[[[1, 6], [2, 5], [4, 2], [6, 1], [12, 2]], 23/884736],
[[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 385/1179648],
[[[1, 6], [2, 5], [4, 2], [6, 1], [20, 1]], 23/245760],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 253/21233664],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 11/245760],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 2341/2949120],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 313/614400],
[[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 1/6144],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 14533/53084160],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 1/138240],
[[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 1/18432],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 13327/58982400],
[[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 475/884736],
[[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 1261/15728640],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 223583/226492416],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 49/3145728],
[[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 1217/3538944],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 7/245760],
[[[1, 6], [2, 5], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 1/51200],
[[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 23/96000],
[[[1, 6], [2, 5], [6, 1], [8, 1], [16, 1]], 23/393216],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 1/491520],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 10949/95551488],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 46741/283115520],
[[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 673/7372800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 23/393216],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 7895/15925248],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 10669/176947200],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 37385/42467328],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 379673/377487360],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 2461/11796480],
[[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 523/3538944],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 5326363/6794772480],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 1189/9953280],
[[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 61/5529600],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 1237/14155776],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 89/1843200],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 973/15925248],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 113/3317760],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 13771/15925248],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 127/7372800],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 15007/10616832],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 40487/212336640],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 679/4423680],
[[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 7/663552],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 157133/212336640],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 173/1327104],
[[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 1/589824],
[[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 361/5529600],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 839/3538944],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 43/147456],
[[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 223/8847360],
[[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 1/884736],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 10183/15925248],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 383/39813120],
[[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 559/13271040],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 59581/238878720],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 61/9953280],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 113/5308416],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 877/9953280],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 89/3538944],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 991/13271040],
[[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 31/819200],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 4895/18874368],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 121/7372800],
[[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 355/3538944],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 559/9953280],
[[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 29/2654208],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 667/4423680],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1799/9830400],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 13387/14745600],
[[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 1/184320],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 9977/21233664],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 647/8294400],
[[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 25/663552],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 853/1474560],
[[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 1289/7077888],
[[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 7/184320],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 6563/58982400],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 4354267/3397386240],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 6433/35389440],
[[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 241/1179648],
[[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 109/2949120],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 1223/5529600],
[[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 137/614400],
[[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 3/327680],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 95639/238878720],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 79561/4246732800],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 620599/849346560],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 1983313/13589544960],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 149639/707788800],
[[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 19/3538944],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 1905721/3397386240],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 1603/22118400],
[[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 1/614400],
[[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 139/3456000],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 1139/11796480],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 445/2654208],
[[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 2153/88473600],
[[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 43/17694720],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 26111/53084160],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 87029/6794772480],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 1547/26542080],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 8053/28311552],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 511/66355200],
[[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 2599/106168320],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 859/7372800],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 6589/159252480],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 977/8847360],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 120859/5662310400],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 6299/27648000],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 285181/1698693120],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 11/92160],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 236101/1415577600],
[[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 469/53084160],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 83863/707788800],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 1251583/2717908992],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 626087/2123366400],
[[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 253/10616832],
[[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 571/29491200],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 941/5529600],
[[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 221/5898240],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 7757/4246732800],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 5849021/30576476160],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 511409/54358179840],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 343243/8493465600],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 5026781/32614907904],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 5477/1061683200],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 137773/10192158720],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 111839/2123366400],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 46781/1274019840],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 106601/4246732800],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 15575149/271790899200],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 105319/943718400],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 20490461/1223059046400],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 1/131072],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 1/204800],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 17447/283115520],
[[[1, 7], [2, 2], [3, 1], [4, 3], [12, 2]], 277/13271040],
[[[1, 7], [2, 2], [3, 1], [4, 3], [16, 1]], 1/32768],
[[[1, 7], [2, 2], [3, 1], [4, 3], [20, 1]], 277/3686400],
[[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 1/786432],
[[[1, 7], [2, 2], [3, 1], [4, 5], [6, 2]], 1/2359296],
[[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 1793/75497472],
[[[1, 7], [2, 2], [3, 1], [4, 5], [12, 1]], 1357/53084160],
[[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 18859/10192158720],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 1/307200],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 263/9437184],
[[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 1/165888],
[[[1, 7], [2, 2], [3, 2], [4, 2], [16, 1]], 1/36864],
[[[1, 7], [2, 2], [3, 2], [4, 2], [20, 1]], 1/46080],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 7/2949120],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 59/21233664],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 1303/28311552],
[[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 1/5898240],
[[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 11/14155776],
[[[1, 7], [2, 2], [3, 2], [8, 1], [16, 1]], 1/73728],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 1/147456],
[[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 1/368640],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 1/663552],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1/98304],
[[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 67/10616832],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/1105920],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 109/11943936],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 5/589824],
[[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 1/3317760],
[[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 5/2654208],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 1/663552],
[[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 1/663552],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 27/524288],
[[[1, 7], [2, 2], [4, 2], [5, 1], [12, 2]], 1/138240],
[[[1, 7], [2, 2], [4, 2], [5, 1], [16, 1]], 1/15360],
[[[1, 7], [2, 2], [4, 2], [5, 1], [20, 1]], 1/38400],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 1/921600],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 21/409600],
[[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 21/256000],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 1/28311552],
[[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 31/26542080],
[[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 199/5898240],
[[[1, 7], [2, 2], [4, 2], [8, 1], [20, 1]], 31/7372800],
[[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 1/7864320],
[[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 31/17694720],
[[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 1/204800],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 287/283115520],
[[[1, 7], [2, 2], [4, 3], [6, 1], [12, 2]], 31/39813120],
[[[1, 7], [2, 2], [4, 3], [6, 1], [20, 1]], 31/11059200],
[[[1, 7], [2, 2], [4, 4], [5, 1], [6, 2]], 1/1179648],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 3173/23592960],
[[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 11/1638400],
[[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 17/276480],
[[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 1837/106168320],
[[[1, 7], [2, 2], [4, 5], [5, 1], [6, 1]], 1/786432],
[[[1, 7], [2, 2], [4, 5], [6, 1], [8, 1]], 149/75497472],
[[[1, 7], [2, 2], [4, 5], [6, 1], [12, 1]], 31/159252480],
[[[1, 7], [2, 2], [5, 1], [8, 1], [16, 1]], 1/61440],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 23/614400],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 7/11943936],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 7003/18874368],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 1/921600],
[[[1, 7], [2, 4], [3, 1], [4, 2], [12, 2]], 253/7962624],
[[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 733/3538944],
[[[1, 7], [2, 4], [3, 1], [4, 2], [20, 1]], 253/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 19/1327104],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 1261/15728640],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 14335/169869312],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 1707443/3397386240],
[[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 277/47185920],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 6415/31850496],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 4561/37748736],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 1/1244160],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 7/245760],
[[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 1/96000],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 7/115200],
[[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 23/96000],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 1/884736],
[[[1, 7], [2, 4], [3, 1], [8, 1], [16, 1]], 253/3538944],
[[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 1/245760],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 1/92160],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 1/248832],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 1531/14155776],
[[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 7/73728],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 367/3981312],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 11/245760],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 13/49152],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 2957/7077888],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 11/737280],
[[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 1/9216],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 23419/169869312],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 73/622080],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 23/884736],
[[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 1/165888],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 41/248832],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 29/1105920],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 35/147456],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 2995/21233664],
[[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 17/1105920],
[[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 583/3981312],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 37/207360],
[[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 1/276480],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 13/172800],
[[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 35/331776],
[[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 19/622080],
[[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 7/1658880],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 341/1990656],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 847/63700992],
[[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 7/552960],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 2243/23887872],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1/82944],
[[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 13/663552],
[[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 37/1244160],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 67/2985984],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 899/3932160],
[[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 7/61440],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 1/30720],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 319/4915200],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 187/384000],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 5/4718592],
[[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 1/63700992],
[[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 1/4915200],
[[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 2123/17694720],
[[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 1/262144],
[[[1, 7], [2, 4], [4, 1], [8, 2], [12, 1]], 23/1179648],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 1/122880],
[[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 83/1843200],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 15319/283115520],
[[[1, 7], [2, 4], [4, 2], [6, 1], [12, 2]], 19/2654208],
[[[1, 7], [2, 4], [4, 2], [6, 1], [16, 1]], 95/1179648],
[[[1, 7], [2, 4], [4, 2], [6, 1], [20, 1]], 19/737280],
[[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 5/7077888],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 7/245760],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 2341/2949120],
[[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 99/409600],
[[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 1/6144],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 541/35389440],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 119/6553600],
[[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 6793/35389440],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 3673/47185920],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 288341/1132462080],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 137/47185920],
[[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 925/10616832],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 1/49152],
[[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 1/51200],
[[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 7/32000],
[[[1, 7], [2, 4], [6, 1], [8, 1], [16, 1]], 19/1179648],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 121/7372800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 89/3538944],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 4895/18874368],
[[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 31/819200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 355/3538944],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 59581/238878720],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 6433/35389440],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 157133/212336640],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 4354267/3397386240],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 6563/58982400],
[[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 241/1179648],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 5326363/6794772480],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 877/9953280],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 89/1843200],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 1237/14155776],
[[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 61/5529600],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 113/5308416],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 61/9953280],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 10183/15925248],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 647/8294400],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 15007/10616832],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 9977/21233664],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 667/4423680],
[[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 25/663552],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 37385/42467328],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 43/147456],
[[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 3/327680],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 1223/5529600],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 839/3538944],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 173/1327104],
[[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 109/2949120],
[[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 29/2654208],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 13771/15925248],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 559/9953280],
[[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 991/13271040],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 7895/15925248],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 113/3317760],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 973/15925248],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 1189/9953280],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 10949/95551488],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 559/13271040],
[[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 673/7372800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 46741/283115520],
[[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 1/491520],
[[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 23/393216],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 383/39813120],
[[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 1/884736],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 679/4423680],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 853/1474560],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 13387/14745600],
[[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 7/184320],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 40487/212336640],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 127/7372800],
[[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 7/663552],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1799/9830400],
[[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 1289/7077888],
[[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 1/184320],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 2461/11796480],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 379673/377487360],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 10669/176947200],
[[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 523/3538944],
[[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 223/8847360],
[[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 361/5529600],
[[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 137/614400],
[[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 1/589824],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 29543/79626240],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 4489/56623104],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 532687/509607936],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 22393/47185920],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 626087/2123366400],
[[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 23/1179648],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 622267/566231040],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 9131/66355200],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 799/88473600],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 229/1728000],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 2513/21233664],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 859/7372800],
[[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 221/5898240],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 49/2949120],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 2909/2949120],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 424033/6794772480],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 11/92160],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 134561/169869312],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 2599/66355200],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 2737/35389440],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 445/2654208],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 3421/19906560],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 41/276480],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 129853/1887436800],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 79/163840],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 88531/566231040],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 1547/26542080],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 236101/1415577600],
[[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 41/2359296],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 167437/707788800],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 228887/339738624],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 149639/707788800],
[[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 355/10616832],
[[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 617/17694720],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1219/5529600],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 2153/88473600],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 97687/8493465600],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 631703/1698693120],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 6216149/163074539520],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 63649/707788800],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 1040059921/2446118092800],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 134797/6370099200],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 119039/3397386240],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 47867/530841600],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 1407971/10192158720],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 189553/2831155200],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 99414961/815372697600],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 263791/2123366400],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 2501701/45298483200],
[[[1, 7], [3, 1], [4, 2], [5, 1], [8, 2]], 1/245760],
[[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 1/294912],
[[[1, 7], [3, 2], [4, 3], [5, 1], [8, 1]], 1/737280],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 1/614400],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 419/94371840],
[[[1, 8], [2, 1], [3, 1], [4, 3], [12, 2]], 1/491520],
[[[1, 8], [2, 1], [3, 1], [4, 3], [16, 1]], 1/294912],
[[[1, 8], [2, 1], [3, 1], [4, 3], [20, 1]], 3/409600],
[[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/3932160],
[[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 577/226492416],
[[[1, 8], [2, 1], [3, 1], [4, 5], [12, 1]], 49/17694720],
[[[1, 8], [2, 1], [3, 1], [4, 6], [6, 1]], 1/25165824],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 1/307200],
[[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 29/9437184],
[[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 1/1179648],
[[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 17/9437184],
[[[1, 8], [2, 1], [3, 2], [4, 5], [6, 1]], 1/14155776],
[[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 1/442368],
[[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/442368],
[[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/3538944],
[[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 5/1769472],
[[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 1/7962624],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 1/663552],
[[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/1990656],
[[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 1/524288],
[[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 7/409600],
[[[1, 8], [2, 1], [4, 2], [8, 1], [12, 2]], 1/26542080],
[[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 37/47185920],
[[[1, 8], [2, 1], [4, 2], [8, 1], [20, 1]], 1/7372800],
[[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 1/17694720],
[[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/614400],
[[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 17/283115520],
[[[1, 8], [2, 1], [4, 3], [6, 1], [12, 2]], 1/39813120],
[[[1, 8], [2, 1], [4, 3], [6, 1], [20, 1]], 1/11059200],
[[[1, 8], [2, 1], [4, 4], [5, 1], [8, 1]], 7/1572864],
[[[1, 8], [2, 1], [4, 4], [8, 1], [12, 1]], 7/106168320],
[[[1, 8], [2, 1], [4, 5], [5, 1], [6, 1]], 1/3932160],
[[[1, 8], [2, 1], [4, 5], [6, 1], [12, 1]], 1/159252480],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 83/1843200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 23789/283115520],
[[[1, 8], [2, 3], [3, 1], [4, 2], [12, 2]], 97/13271040],
[[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 277/5898240],
[[[1, 8], [2, 3], [3, 1], [4, 2], [20, 1]], 97/3686400],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 3]], 1/1990656],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 947/47185920],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 1057/169869312],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 41149/377487360],
[[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 43/47185920],
[[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 2299/53084160],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 2105/113246208],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 1/81920],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 1/38400],
[[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 1/51200],
[[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 1/32000],
[[[1, 8], [2, 3], [3, 1], [8, 1], [16, 1]], 97/5898240],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 1/30720],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 15/524288],
[[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1/73728],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 1/248832],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 79/2211840],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 91/2654208],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 1991/17694720],
[[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 1/368640],
[[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 167/6291456],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 1/103680],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 7/115200],
[[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 1/147456],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 25/1492992],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 101/3317760],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 101/1990656],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 1069/21233664],
[[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 11/221184],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 7/69120],
[[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 1/92160],
[[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 1/57600],
[[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 25/995328],
[[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 7/552960],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 37/663552],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 1055/63700992],
[[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 7/1658880],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 251/7962624],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 13/414720],
[[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 37/1990656],
[[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 1/103680],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 67/2985984],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 47/1310720],
[[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 1/61440],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1/92160],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 319/4915200],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 49/384000],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1/14155776],
[[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 311/17694720],
[[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 1/3932160],
[[[1, 8], [2, 3], [4, 1], [8, 2], [12, 1]], 31/17694720],
[[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 23/614400],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 13/4718592],
[[[1, 8], [2, 3], [4, 2], [6, 1], [12, 2]], 31/39813120],
[[[1, 8], [2, 3], [4, 2], [6, 1], [16, 1]], 31/17694720],
[[[1, 8], [2, 3], [4, 2], [6, 1], [20, 1]], 31/11059200],
[[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 1/21233664],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 1/138240],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 13327/58982400],
[[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 53/1228800],
[[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 1/30720],
[[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 11/15728640],
[[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 1/1638400],
[[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 827/35389440],
[[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 49/3145728],
[[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 33721/3397386240],
[[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 217/159252480],
[[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 8], [2, 3], [6, 1], [8, 1], [16, 1]], 31/17694720],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 439/7372800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 95/31850496],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 8867/56623104],
[[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 41/7372800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 253/3538944],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 3331/79626240],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 2461/11796480],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 49307/212336640],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 2375939/3397386240],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 7787/176947200],
[[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 413/3538944],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 2360137/6794772480],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 113/3317760],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 517/5529600],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 427/14155776],
[[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 1/1843200],
[[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 61/15925248],
[[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 1/3317760],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 787/5308416],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 679/4423680],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 19123/31850496],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 2951/7077888],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 413/5529600],
[[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 7/221184],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 98603/212336640],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 43/147456],
[[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 223/8847360],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 389/1843200],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 955/10616832],
[[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 61/2211840],
[[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 83/2949120],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 559/13271040],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 2699/5308416],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 889/10616832],
[[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 173/2654208],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 6859/15925248],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 877/9953280],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 1285/15925248],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 281/3317760],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 5473/31850496],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 29/2654208],
[[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 767/7372800],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 7403/283115520],
[[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 1/7372800],
[[[1, 8], [2, 5], [4, 1], [6, 1], [16, 1]], 19/1179648],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 41/35389440],
[[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 1/13271040],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 647/8294400],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 853/1474560],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 2527/6144000],
[[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 7/184320],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 499/23592960],
[[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 11/9830400],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 473/14745600],
[[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 7457/106168320],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 6433/35389440],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 617897/2264924160],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 223/19660800],
[[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 133/3538944],
[[[1, 8], [2, 5], [5, 1], [6, 2], [8, 1]], 3/327680],
[[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 1/368640],
[[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 43/614400],
[[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 1/8847360],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 3421/19906560],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 149639/707788800],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 134561/169869312],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 228887/339738624],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 167437/707788800],
[[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 355/10616832],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 622267/566231040],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 445/2654208],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 2153/88473600],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1219/5529600],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 2737/35389440],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 2599/66355200],
[[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 617/17694720],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 1547/26542080],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 2909/2949120],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 88531/566231040],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 41/276480],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 532687/509607936],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 859/7372800],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 2513/21233664],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 9131/66355200],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 29543/79626240],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 11/92160],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 236101/1415577600],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 79/163840],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 424033/6794772480],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 49/2949120],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 129853/1887436800],
[[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 41/2359296],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 626087/2123366400],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 22393/47185920],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 4489/56623104],
[[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 23/1179648],
[[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 221/5898240],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 229/1728000],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 799/88473600],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 343243/8493465600],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 385507/849346560],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 26635229/271790899200],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 263791/2123366400],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 202206847/271790899200],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 111839/2123366400],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 52019/849346560],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 47867/530841600],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 1111787/3397386240],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 105319/943718400],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 40183147/271790899200],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 63649/707788800],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 51997763/407686348800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 1/40960],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 157/18874368],
[[[1, 9], [2, 2], [3, 1], [4, 2], [12, 2]], 7/13271040],
[[[1, 9], [2, 2], [3, 1], [4, 2], [16, 1]], 3/655360],
[[[1, 9], [2, 2], [3, 1], [4, 2], [20, 1]], 7/3686400],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 277/47185920],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 37/169869312],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 611/41943040],
[[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 1/9437184],
[[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 229/53084160],
[[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 7/7077888],
[[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 1/245760],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 1/345600],
[[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 1/51200],
[[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 1/96000],
[[[1, 9], [2, 2], [3, 1], [8, 1], [16, 1]], 7/5898240],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 1/30720],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 29/4718592],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 11/737280],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 1/663552],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 49/3932160],
[[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 217/56623104],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 19/345600],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 17/1105920],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 31/5971968],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 133/7077888],
[[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 1/1658880],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 1/165888],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 19/622080],
[[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 1/92160],
[[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 1/172800],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 7/552960],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 1/248832],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 203/21233664],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 7/884736],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 37/1244160],
[[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 1/165888],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 1/124416],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 1/262144],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 43/1638400],
[[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 37/35389440],
[[[1, 9], [2, 2], [4, 1], [8, 2], [12, 1]], 1/17694720],
[[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 7/614400],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 11/70778880],
[[[1, 9], [2, 2], [4, 2], [6, 1], [12, 2]], 1/39813120],
[[[1, 9], [2, 2], [4, 2], [6, 1], [16, 1]], 1/17694720],
[[[1, 9], [2, 2], [4, 2], [6, 1], [20, 1]], 1/11059200],
[[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 119/6553600],
[[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 19/424673280],
[[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 1/29491200],
[[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 13/23592960],
[[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 137/47185920],
[[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 61/212336640],
[[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 7/159252480],
[[[1, 9], [2, 2], [6, 1], [8, 1], [16, 1]], 1/17694720],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 767/7372800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 1/7962624],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 12677/283115520],
[[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 97/5898240],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 607/159252480],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 6563/58982400],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 91/2949120],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 231091/1132462080],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 589/58982400],
[[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 157/5898240],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 1028027/13589544960],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 61/9953280],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 517/5529600],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 77/14155776],
[[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 1/5308416],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 1387/79626240],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 667/4423680],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 1345/10616832],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 3583/23592960],
[[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 127/7372800],
[[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 1/221184],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 10367/70778880],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 173/1327104],
[[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 109/2949120],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 41/614400],
[[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 977/53084160],
[[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 1/737280],
[[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 29/2949120],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 991/13271040],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 14387/79626240],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 1861/31850496],
[[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 13/491520],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 43681/238878720],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 1189/9953280],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 281/5308416],
[[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 277/9953280],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 11651/95551488],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 1/884736],
[[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 439/7372800],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 233/94371840],
[[[1, 9], [2, 4], [4, 1], [6, 1], [16, 1]], 31/17694720],
[[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 23/318504960],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 127/7372800],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 1799/9830400],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 1333/18432000],
[[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 1/184320],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 157/70778880],
[[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 19/265420800],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 143/39321600],
[[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 1151/106168320],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 10669/176947200],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 50843/2264924160],
[[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 1/2457600],
[[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 31/17694720],
[[[1, 9], [2, 4], [5, 1], [6, 2], [8, 1]], 1/589824],
[[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 1/5529600],
[[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 19/1843200],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 6589/159252480],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 626087/2123366400],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 8053/28311552],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 1251583/2717908992],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 83863/707788800],
[[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 253/10616832],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 1905721/3397386240],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 859/7372800],
[[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 221/5898240],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 941/5529600],
[[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 2599/106168320],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 511/66355200],
[[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 571/29491200],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 11/92160],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 26111/53084160],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 285181/1698693120],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 977/8847360],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 620599/849346560],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 445/2654208],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 1139/11796480],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 1603/22118400],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 95639/238878720],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 1547/26542080],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 236101/1415577600],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 6299/27648000],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 87029/6794772480],
[[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 43/17694720],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 120859/5662310400],
[[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 469/53084160],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 149639/707788800],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 1983313/13589544960],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 79561/4246732800],
[[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 19/3538944],
[[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 2153/88473600],
[[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 139/3456000],
[[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 1/614400],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 63649/707788800],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 1111787/3397386240],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 40183147/271790899200],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 105319/943718400],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 202206847/271790899200],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 47867/530841600],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 52019/849346560],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 111839/2123366400],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 385507/849346560],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 263791/2123366400],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 26635229/271790899200],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 343243/8493465600],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 81671299/407686348800],
[[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 9], [3, 1], [4, 3], [5, 1], [8, 1]], 1/737280],
[[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 1/276480],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 1/153600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 23/94371840],
[[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 43/47185920],
[[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 277/377487360],
[[[1, 10], [2, 1], [3, 1], [4, 5], [6, 1]], 5/113246208],
[[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 1/92160],
[[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 1/1572864],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1/368640],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 53/47185920],
[[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 5/28311552],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 1/276480],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 19/7077888],
[[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 1/3981312],
[[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 1/276480],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 7/1658880],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 53/21233664],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/995328],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 1/103680],
[[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 1/2985984],
[[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 1/3932160],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 1/327680],
[[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/35389440],
[[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 1/1638400],
[[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 1/70778880],
[[[1, 10], [2, 1], [4, 4], [6, 1], [8, 1]], 1/70778880],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 673/7372800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 211/31457280],
[[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 7/5898240],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 19/159252480],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 7787/176947200],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 233/106168320],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 241699/6794772480],
[[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 7/6553600],
[[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 41/17694720],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 12593/1509949440],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 1/3317760],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 89/1843200],
[[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 1/4718592],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 47/79626240],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 413/5529600],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 259/21233664],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 313/7864320],
[[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 53/29491200],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 2009/70778880],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 61/2211840],
[[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 83/2949120],
[[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 29/1843200],
[[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 47/53084160],
[[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 1/983040],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 173/2654208],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 799/26542080],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 1121/39813120],
[[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 49/13271040],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 3271/79626240],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 281/3317760],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 277/15925248],
[[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 1/368640],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 4781/95551488],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 1/13271040],
[[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 121/7372800],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 37/283115520],
[[[1, 10], [2, 3], [4, 1], [6, 1], [16, 1]], 1/17694720],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 11/9830400],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 473/14745600],
[[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 103/49152000],
[[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 1/7864320],
[[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 23/117964800],
[[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 71/106168320],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 223/19660800],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 12161/6794772480],
[[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 1/44236800],
[[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 1/17694720],
[[[1, 10], [2, 3], [5, 1], [6, 2], [8, 1]], 1/8847360],
[[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 497/79626240],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 167437/707788800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 172253/3057647616],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 5707/33554432],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 134491/4246732800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 97/17694720],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 276173/1698693120],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 2599/66355200],
[[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 617/17694720],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 11/192000],
[[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 511/106168320],
[[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 13/22118400],
[[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 173/29491200],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 41/276480],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 7547/53084160],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 209639/2264924160],
[[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 137/2949120],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 533423/1698693120],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 9131/66355200],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 4969/106168320],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 113/5529600],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 3209/13271040],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 49/2949120],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 129853/1887436800],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 1457/27648000],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 20129/10192158720],
[[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 7/53084160],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 11087/2831155200],
[[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 103/53084160],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 4489/56623104],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 306409/13589544960],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 3211/1415577600],
[[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 31/53084160],
[[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 799/88473600],
[[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 299/55296000],
[[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 1/11059200],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 263791/2123366400],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 1407971/10192158720],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 99414961/815372697600],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 189553/2831155200],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 1040059921/2446118092800],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 47867/530841600],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 119039/3397386240],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 134797/6370099200],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 631703/1698693120],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 63649/707788800],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 6216149/163074539520],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 97687/8493465600],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 81671299/407686348800],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 31/819200],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 23/47185920],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 589/58982400],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 1/26542080],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 6787/2264924160],
[[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 841/1509949440],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 61/5529600],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 127/7372800],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 17/63700992],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 169/23592960],
[[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 13/88473600],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 179/70778880],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 1/737280],
[[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 29/2949120],
[[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 1/614400],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 13/491520],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 1/884736],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 43/6635520],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 83/17694720],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 277/9953280],
[[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 1/589824],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 83/10616832],
[[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 1/491520],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 19/265420800],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 143/39321600],
[[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 13/147456000],
[[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 1/53084160],
[[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 1/2457600],
[[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 67/754974720],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 29/79626240],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 83863/707788800],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 35389/5096079360],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 7537/188743680],
[[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 211/56623104],
[[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 7/17694720],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 286213/10192158720],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 511/66355200],
[[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 571/29491200],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 13/1152000],
[[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 13/35389440],
[[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 1/66355200],
[[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 23/29491200],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 977/8847360],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 7357/318504960],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 254641/6794772480],
[[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 19/1966080],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 9221/113246208],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 1603/22118400],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 113/8847360],
[[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 41/16588800],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 45037/477757440],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 43/17694720],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 120859/5662310400],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 1411/221184000],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 431/3397386240],
[[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 269/943718400],
[[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 37/212336640],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 79561/4246732800],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 1819/679477248],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 169/1415577600],
[[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 1/53084160],
[[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 1/614400],
[[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 13/55296000],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 105319/943718400],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 46781/1274019840],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 15575149/271790899200],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 106601/4246732800],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 5026781/32614907904],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 111839/2123366400],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 137773/10192158720],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 5477/1061683200],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 5849021/30576476160],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 343243/8493465600],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 511409/54358179840],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 7757/4246732800],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 51997763/407686348800],
[[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 1/983040],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 41/7372800],
[[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 1/47185920],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 7/6553600],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 163/2264924160],
[[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 17/4529848320],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/1843200],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 53/29491200],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 13/23592960],
[[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 13/212336640],
[[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 1/983040],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 49/13271040],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 73/106168320],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 13/53084160],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 1/368640],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 17/95551488],
[[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 1/7372800],
[[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 23/117964800],
[[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1/44236800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 1/159252480],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 134491/4246732800],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 1729/5096079360],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 6449/1132462080],
[[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 163/1415577600],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 2957/1132462080],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 13/22118400],
[[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 173/29491200],
[[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 23/18432000],
[[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 1/106168320],
[[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 1/29491200],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 137/2949120],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 511/318504960],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 89821/10192158720],
[[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 13/17694720],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 1217/113246208],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 113/5529600],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 41/26542080],
[[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 1/11059200],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 37/1866240],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 7/53084160],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 11087/2831155200],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 67/221184000],
[[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 1/452984832],
[[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 1/125829120],
[[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 1/212336640],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 3211/1415577600],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 55/339738624],
[[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 1/11059200],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 189553/2831155200],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 10357/1698693120],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 1027799/54358179840],
[[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 847/157286400],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 1211659/32614907904],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 134797/6370099200],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 1831/566231040],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 677/1061683200],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 664513/10192158720],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 97687/8493465600],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 1167781/815372697600],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 593/4246732800],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 2501701/45298483200],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 211/56623104],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 91/15288238080],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 643/1509949440],
[[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 19/4246732800],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 71/849346560],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 1/66355200],
[[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 23/29491200],
[[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 1/18432000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 19/1966080],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 1/26542080],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 3259/3397386240],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 181/339738624],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 41/16588800],
[[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 1/17694720],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 67/39813120],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 269/943718400],
[[[1, 13], [2, 2], [4, 1], [6, 2], [8, 1]], 1/20384317440],
[[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 1/5662310400],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 169/1415577600],
[[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1/301989888],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 106601/4246732800],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 5279/10192158720],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 670979/163074539520],
[[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 1603/2831155200],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 13131763/2446118092800],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 5477/1061683200],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 677/1698693120],
[[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 211/6370099200],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 206509/15288238080],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 7757/4246732800],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 96403/815372697600],
[[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 1/188743680],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 20490461/1223059046400],
[[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 1/29491200],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 163/1415577600],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 73/4529848320],
[[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 19/10192158720],
[[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 1/29491200],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 13/17694720],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 299/6794772480],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 19/2548039680],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 1/11059200],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 13/477757440],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 1/125829120],
[[[1, 14], [2, 1], [4, 2], [6, 1], [8, 1]], 1/13589544960],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 847/157286400],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 67/3397386240],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 398741/815372697600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 181/8493465600],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 309223/815372697600],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 677/1061683200],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 211/10192158720],
[[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 1/2123366400],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 11081/7644119040],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 593/4246732800],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 1391/271790899200],
[[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 1/8493465600],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 1347709/407686348800],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 1603/2831155200],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 1/5096079360],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 7361/271790899200],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 1057/90596966400],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 211/6370099200],
[[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 1/3397386240],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 661/10192158720],
[[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 1/188743680],
[[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 91/815372697600],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 462221/1223059046400],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 181/8493465600],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 191/271790899200],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 31/815372697600],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/2123366400],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 29/30576476160],
[[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/8493465600],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 27491/1223059046400],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 11/16986931200],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 11/1223059046400],
[[[2, 3], [3, 2], [4, 2], [6, 3], [12, 2]], 1/18432],
[[[2, 3], [3, 2], [6, 3], [10, 1], [30, 1]], 1/1440],
[[[2, 3], [4, 1], [6, 2], [8, 2], [16, 1]], 1/18432],
[[[2, 3], [4, 1], [8, 2], [10, 1], [16, 1]], 1/5120],
[[[2, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/41472],
[[[2, 3], [4, 3], [6, 2], [8, 1], [20, 1]], 1/11520],
[[[2, 3], [4, 3], [8, 1], [10, 1], [12, 2]], 1/11520],
[[[2, 3], [4, 3], [8, 1], [10, 1], [20, 1]], 1/3200],
[[[2, 3], [4, 5], [6, 2], [8, 1], [12, 1]], 1/165888],
[[[2, 3], [4, 5], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[2, 3], [6, 3], [10, 1], [12, 1], [30, 1]], 1/240],
[[[2, 5], [4, 1], [6, 1], [8, 2], [16, 1]], 1/73728],
[[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/73728],
[[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/20480],
[[[2, 5], [4, 3], [6, 1], [8, 1], [12, 2]], 1/165888],
[[[2, 5], [4, 3], [6, 1], [8, 1], [20, 1]], 1/46080],
[[[2, 5], [4, 5], [6, 1], [8, 1], [12, 1]], 1/663552],
[[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 1/294912],
[[[2, 7], [4, 2], [6, 1], [8, 2], [10, 1]], 1/245760],
[[[2, 7], [4, 3], [6, 2], [8, 1], [10, 1]], 1/737280],
[[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[2, 9], [4, 3], [6, 1], [8, 1], [10, 1]], 1/737280],
[[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 1/983040],
[[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 1/29491200],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 3]], 1/1024],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [12, 2]], 1/6144],
[[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/6144],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 3]], 1/8192],
[[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [12, 2]], 1/13824],
[[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [20, 1]], 1/3840],
[[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [12, 1]], 1/55296],
[[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [8, 1]], 1/4423680],
[[[1, 1], [2, 2], [3, 1], [6, 2], [12, 1], [18, 2]], 1/864],
[[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [24, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [6, 4], [9, 1], [18, 1]], 1/864],
[[[1, 1], [2, 2], [3, 1], [6, 4], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 2], [3, 3], [4, 2], [6, 2], [12, 2]], 1/6144],
[[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [24, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 3], [6, 2], [9, 1], [18, 1]], 1/864],
[[[1, 1], [2, 2], [3, 3], [6, 2], [10, 1], [30, 1]], 1/1440],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 2], [16, 1]], 1/18432],
[[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [16, 1]], 1/5120],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [12, 2]], 1/41472],
[[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [20, 1]], 1/11520],
[[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [20, 1]], 1/3200],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [12, 2]], 1/13824],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [20, 1]], 1/3840],
[[[1, 1], [2, 2], [4, 5], [6, 2], [8, 1], [12, 1]], 1/165888],
[[[1, 1], [2, 2], [4, 5], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 1], [2, 2], [4, 6], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [12, 2]], 7/4608],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [12, 1]], 7/27648],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/27648],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [12, 2]], 1/1536],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 2]], 1/221184],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 1/62208],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [20, 1]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/32768],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 4], [3, 1], [4, 3], [10, 1], [12, 2]], 1/17280],
[[[1, 1], [2, 4], [3, 1], [4, 3], [10, 1], [20, 1]], 1/4800],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 17/393216],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [12, 2]], 1/27648],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [20, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 1/248832],
[[[1, 1], [2, 4], [3, 1], [4, 5], [10, 1], [12, 1]], 1/69120],
[[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [24, 1]], 1/1152],
[[[1, 1], [2, 4], [3, 1], [6, 3], [9, 1], [18, 1]], 1/432],
[[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [30, 1]], 1/180],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [18, 1]], 7/3456],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [12, 1]], 7/27648],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [16, 1]], 7/73728],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [12, 2]], 1/41472],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 7/73728],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [20, 1]], 1/11520],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 7/20480],
[[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [20, 1]], 1/3200],
[[[1, 1], [2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [12, 2]], 7/165888],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 1/32768],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [20, 1]], 7/46080],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [12, 2]], 1/17280],
[[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [20, 1]], 1/4800],
[[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [12, 1]], 7/165888],
[[[1, 1], [2, 4], [4, 4], [8, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 7/663552],
[[[1, 1], [2, 4], [4, 5], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 7/13824],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 7/442368],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 5/1769472],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 1/248832],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [20, 1]], 1/69120],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 5/442368],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [8, 1]], 1/1769472],
[[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [10, 1]], 1/491520],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 5/1572864],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 89/7962624],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/36864],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [12, 2]], 1/165888],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 13/294912],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [20, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 1/81920],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/245760],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [10, 1]], 1/491520],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [12, 1]], 7/663552],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 1/165888],
[[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [16, 1]], 1/17694720],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 19/70778880],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [8, 1]], 1/663552],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 1/221184],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 1/1105920],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 1/110592],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [8, 1]], 1/1769472],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/983040],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 3/655360],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 11/737280],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/442368],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 1/589824],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 1/414720],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [8, 1]], 1/2359296],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 1/276480],
[[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [10, 1]], 1/5898240],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 1/14155776],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 1/1105920],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 1/17694720],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 29/2949120],
[[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 49/5898240],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 1/17694720],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 1/1474560],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [8, 1]], 1/70778880],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/11059200],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 23/29491200],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/3397386240],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 1/44236800],
[[[1, 1], [3, 1], [4, 1], [8, 1], [12, 2], [24, 1]], 1/384],
[[[1, 1], [3, 3], [4, 1], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/6144],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 3]], 1/8192],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [12, 2]], 1/13824],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [20, 1]], 1/3840],
[[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 1/4423680],
[[[1, 2], [2, 1], [3, 2], [4, 1], [8, 2], [16, 1]], 1/18432],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 3]], 1/1024],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [12, 2]], 1/6144],
[[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [12, 2]], 1/41472],
[[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [20, 1]], 1/11520],
[[[1, 2], [2, 1], [3, 2], [4, 5], [8, 1], [12, 1]], 1/165888],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 3], [15, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 2], [6, 1], [9, 2], [12, 1]], 1/864],
[[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 2], [6, 3], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [12, 2]], 1/6144],
[[[1, 2], [2, 1], [3, 4], [5, 1], [6, 1], [15, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 4], [6, 1], [9, 1], [18, 1]], 1/864],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [16, 1]], 1/5120],
[[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [12, 2]], 1/11520],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [20, 1]], 1/3200],
[[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [12, 2]], 1/13824],
[[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [20, 1]], 1/3840],
[[[1, 2], [2, 1], [4, 5], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 1], [4, 6], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 7/24576],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 7/24576],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 1/27648],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [12, 2]], 5/4608],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 31/221184],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 7/62208],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [20, 1]], 7/17280],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 7/55296],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 25/98304],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [20, 1]], 7/15360],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [10, 1]], 1/61440],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [12, 2]], 1/17280],
[[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [20, 1]], 1/4800],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 49/131072],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 13/82944],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [20, 1]], 13/23040],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 7/248832],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 31/221184],
[[[1, 2], [2, 3], [3, 1], [4, 5], [10, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 31/4423680],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 13/331776],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [24, 1]], 1/384],
[[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 1/144],
[[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 1/180],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 25/4608],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 25/27648],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/768],
[[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 5/73728],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 5/36864],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 1/10368],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [20, 1]], 1/2880],
[[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1/720],
[[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [24, 1]], 1/288],
[[[1, 2], [2, 3], [3, 2], [6, 2], [9, 1], [18, 1]], 1/108],
[[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 1/240],
[[[1, 2], [2, 3], [3, 2], [6, 3], [9, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [18, 1]], 1/384],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 25/27648],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 3/8192],
[[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/20480],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/41472],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 11/73728],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [20, 1]], 1/11520],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [12, 2]], 1/11520],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 7/20480],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [20, 1]], 1/3200],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6144],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 25/98304],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 3/5120],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [12, 2]], 1/17280],
[[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [20, 1]], 1/4800],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [12, 1]], 7/165888],
[[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 11/73728],
[[[1, 2], [2, 3], [4, 5], [6, 1], [10, 1], [12, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 1/27648],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 7/4608],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 29/294912],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 1/62208],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [16, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [20, 1]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 1/10368],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 7/73728],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 13/245760],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [12, 2]], 1/17280],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [20, 1]], 1/4800],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 305/1769472],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 19/248832],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [16, 1]], 1/12288],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [20, 1]], 19/69120],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 23/442368],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 247/5308416],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 109/995328],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 121/1474560],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 1/49152],
[[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 7/69120],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 125/1572864],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 989/7962624],
[[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [16, 1]], 1/27648],
[[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 23/6912],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/884736],
[[[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]], 1/10368],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 217/2654208],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [10, 1]], 1/737280],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 7/294912],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 7/36864],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 7/15360],
[[[1, 2], [2, 5], [4, 1], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/245760],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 7/165888],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 77/294912],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [20, 1]], 7/46080],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/16384],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 7/110592],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [12, 2]], 1/17280],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [20, 1]], 1/4800],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 1/737280],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/245760],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 3/10240],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 121/1474560],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 125/1327104],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 7/69120],
[[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 5/221184],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 37/1990656],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [16, 1]], 31/17694720],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 101/7864320],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 1/51200],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 1/248832],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [16, 1]], 1/110592],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [20, 1]], 1/69120],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 7/147456],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 1/92160],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/13824],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 5/110592],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1/122880],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 1/12288],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [10, 1]], 1/61440],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 1331/42467328],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 67/2949120],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 271/3981312],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [16, 1]], 1/110592],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 25/995328],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 5/331776],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 11/331776],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 1/663552],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 119/1966080],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1/40960],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [12, 1]], 1/110592],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 1/92160],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 11/460800],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 11/245760],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 1/737280],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 5/147456],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 17/35389440],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 301/15925248],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1/23040],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 743/35389440],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 7/221184],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 1/81920],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 1/393216],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 1/26542080],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 377/70778880],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 1/61440],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 11/5898240],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 47/53084160],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [10, 1]], 1/8847360],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 17/53084160],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 1/414720],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 1/6635520],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 1/983040],
[[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 41/983040],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 7/921600],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 109/1966080],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 1/327680],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 209/106168320],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 37/1474560],
[[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 23/88473600],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 71/106168320],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 151/22118400],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 1/13271040],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 1/106168320],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 1/2211840],
[[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 1/29491200],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 21/1638400],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 71/2038431744],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 7/7372800],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 3/8192],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 7/24576],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 1/61440],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [12, 2]], 1/17280],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [20, 1]], 1/4800],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 5/36864],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 1/10368],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [20, 1]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [12, 2]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 25/98304],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [20, 1]], 3/5120],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 49/131072],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 13/82944],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 13/23040],
[[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [12, 1]], 1/41472],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 11/73728],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 31/4423680],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 13/331776],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/768],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/41472],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 11/73728],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [20, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 31/221184],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 7/62208],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [20, 1]], 7/17280],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 7/165888],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 7/248832],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 1/240],
[[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [24, 1]], 1/288],
[[[1, 3], [2, 2], [3, 2], [6, 2], [9, 1], [18, 1]], 1/108],
[[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1/720],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 25/4608],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 25/27648],
[[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 1/27648],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [12, 2]], 5/4608],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [15, 1]], 1/180],
[[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [24, 1]], 1/384],
[[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 1/144],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 1/384],
[[[1, 3], [2, 2], [3, 3], [6, 2], [12, 1], [18, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 25/27648],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 7/24576],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 1/11520],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 7/20480],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [20, 1]], 1/3200],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 5/73728],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/20480],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 2]], 1/61440],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [12, 2]], 1/17280],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [20, 1]], 1/4800],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 7/55296],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 25/98304],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [20, 1]], 7/15360],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 7/46080],
[[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [12, 1]], 1/69120],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 31/221184],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 5/24576],
[[[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]], 107/294912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 7/62208],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 7/27648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [20, 1]], 7/17280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 1/18432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 95/147456],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 1/5120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 1/16384],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 7/36864],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [12, 2]], 1/17280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [20, 1]], 1/4800],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 427/294912],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 1/3456],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 13/36864],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 1/960],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 13/147456],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 7/27648],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 1/491520],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 1459/5308416],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 439/995328],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 121/1474560],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 47/147456],
[[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 7/69120],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 2383/7077888],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 181/442368],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [16, 1]], 7/27648],
[[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/3072],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 41/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 11/110592],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 83/294912],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 1/10368],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [16, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [20, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 5/20736],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 7/10368],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 377/884736],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 13/13824],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [10, 1]], 1/245760],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 5/110592],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 149/589824],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 137/331776],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 25/3456],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 7/147456],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 5/27648],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 1/3200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 1/2560],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 29/110592],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 7/15360],
[[[1, 3], [2, 4], [4, 1], [8, 2], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1/81920],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 5/55296],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 227/294912],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 1/3072],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 13/245760],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/4096],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 1/17280],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [20, 1]], 1/4800],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/245760],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 3/12800],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/737280],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 13/110592],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 3/10240],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 1/491520],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 121/1474560],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 169/442368],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 7/69120],
[[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 53/442368],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 29/663552],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 1/10368],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 95/1179648],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 7/122880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 1/276480],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 347/1572864],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/51200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 5/124416],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 19/110592],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [20, 1]], 1/6912],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 299/1327104],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 5/13824],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 1/1105920],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 779/2654208],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 23/368640],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 53/110592],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 239/737280],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 7/110592],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1/983040],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 18899/42467328],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 31/491520],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 1981/3981312],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [16, 1]], 5/55296],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 1/442368],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 43/331776],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 703/2654208],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 11/110592],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 19/41472],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 11/737280],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 85/884736],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 67/1105920],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 7/27648],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 1/165888],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 1/663552],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/122880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 1/92160],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1069/3538944],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 3/40960],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 7/110592],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 11/737280],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 11/153600],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 11/38400],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 11/245760],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 11/46080],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/122880],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 41/122880],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 91/442368],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 1/414720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 547/35389440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 31/230400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 1/110592],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 473/5308416],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 49/414720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/27648],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 1/276480],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 1/5898240],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 5653/35389440],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 25/221184],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 277/2211840],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 41/1179648],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 31/26542080],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 1/1105920],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 10283/106168320],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 49/368640],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 407/4423680],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1/28800],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 19/276480],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 1777/53084160],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 121/829440],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1/41472],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 1/589824],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1099/106168320],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 13/276480],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 31/6635520],
[[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 1/5308416],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 1/414720],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 29/2949120],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 19/1843200],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 229/2949120],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 49/5898240],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 19/307200],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 853/5898240],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 317/8847360],
[[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1474560],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 1/2764800],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 23/786432],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 673/4423680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 7/2211840],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 41/9830400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 1/26542080],
[[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 1/11059200],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 757/53084160],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 409/5529600],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 17/6635520],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 1/921600],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 61/4423680],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 73/106168320],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 163/13271040],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 1/6635520],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 23/29491200],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 17/921600],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 983/14745600],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 7/8847360],
[[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 1/44236800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1693/1698693120],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 41/2764800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/53084160],
[[[1, 3], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 1/1152],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 7/73728],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 1/61440],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [12, 2]], 1/17280],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [20, 1]], 1/4800],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 7/165888],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/32768],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 7/46080],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 17/393216],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 1/27648],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [20, 1]], 1/7680],
[[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 7/663552],
[[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [12, 2]], 1/41472],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 7/73728],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [20, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 2]], 1/221184],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 1/62208],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [20, 1]], 1/17280],
[[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [12, 1]], 7/165888],
[[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 1/248832],
[[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/27648],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [12, 2]], 1/1536],
[[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1/180],
[[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [24, 1]], 1/1152],
[[[1, 4], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 1/432],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 7/4608],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 7/27648],
[[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 7/3456],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 7/27648],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [12, 2]], 1/11520],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 7/20480],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [20, 1]], 1/3200],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [8, 2]], 1/61440],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [12, 2]], 1/17280],
[[[1, 4], [2, 1], [4, 3], [5, 1], [6, 1], [20, 1]], 1/4800],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/32768],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 7/46080],
[[[1, 4], [2, 1], [4, 5], [5, 1], [6, 1], [12, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 5/24576],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 13/245760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/17280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [20, 1]], 1/4800],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 83/294912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/10368],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [16, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [20, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 5/55296],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 227/294912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/81920],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 1/4096],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 427/294912],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 1/3456],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 13/36864],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 1/960],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 7/147456],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 5/27648],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 121/1474560],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 7/69120],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 149/589824],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 137/331776],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1/491520],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 169/442368],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 2383/7077888],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 181/442368],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [16, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/3072],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 29/110592],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 1/27648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 107/294912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 7/62208],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 7/27648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [20, 1]], 7/17280],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/737280],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 377/884736],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 13/13824],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/245760],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 13/110592],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 1459/5308416],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 439/995328],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [16, 1]], 7/27648],
[[[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]], 1/6912],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 25/3456],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 5/20736],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 7/10368],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 13/147456],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 7/27648],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 41/6912],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 1/10368],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 7/15360],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 1/2560],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 11/110592],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/16384],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [12, 2]], 1/17280],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [20, 1]], 1/4800],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 1/18432],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 95/147456],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 1/5120],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 7/36864],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/245760],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 3/12800],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 3/10240],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 5/110592],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 121/1474560],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 7/69120],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/491520],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 47/147456],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 1/4800],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 41/147456],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 7/27648],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 7/221184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/51200],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 529/1179648],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 3/40960],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 1/12288],
[[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 1/92160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 23245/14155776],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/153600],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 11/82944],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 1/1536],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [20, 1]], 11/23040],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 121/442368],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/276480],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 23/41472],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 1/122880],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 1/61440],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 341/294912],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 67/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 49/36864],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 41/122880],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 23/55296],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 67/2949120],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 11251/7077888],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 31/491520],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 437/331776],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [16, 1]], 11/36864],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 3/16384],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 5/12288],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 7/10368],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 11/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 17/153600],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1063/884736],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 11/110592],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 1/576],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 11/245760],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 11/165888],
[[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1/184320],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 883/884736],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 23/368640],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 65/55296],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 307/995328],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 127/1327104],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 1/92160],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 11/41472],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 1/1990656],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 1/40960],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/92160],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/17280],
[[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 2179/3538944],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 7/122880],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 5/36864],
[[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 1/41472],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 11/245760],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 73/460800],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 19/19200],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 11/737280],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 13/82944],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 11/46080],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1/6400],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 239/737280],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 233/442368],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 1/23040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 287/2359296],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 31/230400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 5/55296],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 4045/15925248],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 49/414720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 7/27648],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 7/221184],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 1/393216],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 161/921600],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 12941/21233664],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 211/663552],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 749/1327104],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 463/1179648],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 95/1769472],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1/61440],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 6137/7077888],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 191/552960],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 913/1474560],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 29/172800],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 7/92160],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/69120],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 1/8847360],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 2899/10616832],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 109/276480],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 5/20736],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 67/2949120],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/414720],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 329/2359296],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 307/1105920],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 95/442368],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 1/172800],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 85/15925248],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 41/983040],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 13/46080],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 57/204800],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 583/8847360],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 7/110592],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 7/92160],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 109/1966080],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 29/92160],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 2699/5898240],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 901/5308416],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 11/57600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 37/1474560],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 23/88473600],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 19/2764800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 4297/26542080],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 1631/4423680],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 97/2211840],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 1307/44236800],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 31/26542080],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 151/22118400],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 28103/212336640],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 11213/33177600],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 569/13271040],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 101/2764800],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 89/1474560],
[[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1/2211840],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 145/10616832],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 133/1474560],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 31/6635520],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 21/1638400],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 139/921600],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 659/4423680],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 97/8847360],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 7/7372800],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 21629/1698693120],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 3871/44236800],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 37/53084160],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/16384],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/17280],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [20, 1]], 1/4800],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/884736],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 7/165888],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 77/294912],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 7/46080],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/245760],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 7/110592],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 305/1769472],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 19/248832],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [16, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [20, 1]], 19/69120],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 121/1474560],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 7/69120],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 7/294912],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 125/1327104],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 125/1572864],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 989/7962624],
[[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 7/36864],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [12, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 29/294912],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/62208],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 1/27648],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [20, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 1/245760],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 217/2654208],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/737280],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 247/5308416],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 109/995328],
[[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [16, 1]], 1/27648],
[[[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]], 1/10368],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 23/442368],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 23/6912],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/10368],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 7/4608],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 7/15360],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 1/7680],
[[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/3200],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 13/245760],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 1/17280],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [20, 1]], 1/4800],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 7/73728],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/737280],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/12800],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 3/10240],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 121/1474560],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 7/69120],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1/49152],
[[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 7/122880],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 3/16384],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/1990656],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/153600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 2179/3538944],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/40960],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 5/36864],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/92160],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 1/153600],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 23245/14155776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 11/82944],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 1/1536],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [20, 1]], 11/23040],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 127/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 11/41472],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 23/368640],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 239/737280],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/6400],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 883/884736],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/184320],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 65/55296],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 233/442368],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 31/491520],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 11251/7077888],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 67/2949120],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 437/331776],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [16, 1]], 11/36864],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 41/147456],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 307/995328],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 11/110592],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 11/737280],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 73/460800],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1063/884736],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 11/331776],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 1/576],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 11/245760],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 13/82944],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 67/1105920],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 341/294912],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 1/122880],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 49/36864],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 5/12288],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 7/10368],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/276480],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 121/442368],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 23/41472],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 7/221184],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/10368],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 3/40960],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 1/7680],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/276480],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 1/51200],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 529/1179648],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 1/12288],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 11/245760],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 17/153600],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 19/19200],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 11/46080],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 11/165888],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 41/122880],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/6400],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 23/55296],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 49/414720],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/230400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 4639/7077888],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 11/36864],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 3925/15925248],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 25/82944],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 25/221184],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 41/1179648],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 599/921600],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 32441/21233664],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 307/1105920],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1571/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 2699/5898240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 457/1769472],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 49/368640],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 2159/786432],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 191/552960],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 917/589824],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 19/276480],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 91/172800],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1/30720],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 121/829440],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/589824],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 5/27648],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 3583/3538944],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 109/276480],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 11/13824],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 583/8847360],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 7/331776],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 13/276480],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 8401/7077888],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 211/663552],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 139/147456],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 23/57600],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 7/92160],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/414720],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 41/589824],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 49/414720],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 7/82944],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 229/2949120],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 11/27648],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 601/614400],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 67/2949120],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 25/331776],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 7/92160],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 853/5898240],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 113/153600],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 463/1179648],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 1819/5308416],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 7/19200],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 673/4423680],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 41/9830400],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 149/921600],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 1523/3317760],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 7249/13271040],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 253/1327104],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 7729/44236800],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 19/1769472],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 409/5529600],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 80281/106168320],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 223/294912],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 3611/13271040],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 61/4423680],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 667/2764800],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 613/4423680],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 163/13271040],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 2431/26542080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 1697/4423680],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 19/442368],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 983/14745600],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1421/2764800],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 359/1474560],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 253/5308416],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 41/2764800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 786589/10192158720],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 4577/16588800],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 103/13271040],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/81920],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [12, 2]], 1/165888],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 13/294912],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [20, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 5/1769472],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 1/248832],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [20, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 1/491520],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 7/663552],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 5/1572864],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 89/7962624],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 7/442368],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/245760],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1]], 1/1769472],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 5/442368],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 7/13824],
[[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/15360],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/491520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 3/40960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1/153600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/4800],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/442368],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1069/3538944],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 7/110592],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/276480],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 1/51200],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 347/1572864],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 5/124416],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 19/110592],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [20, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/663552],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 67/1105920],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 41/122880],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/19200],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 85/884736],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 7/27648],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/122880],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 91/442368],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 31/491520],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 18899/42467328],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/983040],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1981/3981312],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [16, 1]], 5/55296],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/17280],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 53/442368],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/165888],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 11/110592],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 11/245760],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 11/153600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 703/2654208],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 19/41472],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 11/737280],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 23/368640],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 779/2654208],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 1/1105920],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 53/110592],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/276480],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 43/331776],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1/10368],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 1/41472],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 299/1327104],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/276480],
[[[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]], 29/663552],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 1/10368],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 7/122880],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 1/7680],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/51200],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 95/1179648],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 11/737280],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 11/38400],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 11/46080],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 239/737280],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/19200],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 7/110592],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 49/414720],
[[[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]], 4639/7077888],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/230400],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 11/36864],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 41/589824],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/414720],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 7/82944],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 211/663552],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 463/1179648],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 113/153600],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 8401/7077888],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 13/276480],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 139/147456],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 853/5898240],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 1819/5308416],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 191/552960],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 2159/786432],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 49/368640],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 917/589824],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 7/92160],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 23/57600],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 7/19200],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 109/276480],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 67/2949120],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 11/27648],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 3583/3538944],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 121/829440],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 11/13824],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 229/2949120],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 25/331776],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 307/1105920],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 32441/21233664],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 25/221184],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1571/1327104],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 91/172800],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 19/276480],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/23040],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 3925/15925248],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 49/414720],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 25/82944],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 583/8847360],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 5/27648],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 601/614400],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 7/92160],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/589824],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 7/331776],
[[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 2699/5898240],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 599/921600],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 41/1179648],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 457/1769472],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1631/4423680],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1307/44236800],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 197/307200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 8119/10616832],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 1697/4423680],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 355/1327104],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 359/1474560],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 23/589824],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 11213/33177600],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 24481/11796480],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 223/294912],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 599/884736],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 89/1474560],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 1837/2764800],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 613/4423680],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 133/1474560],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 9181/17694720],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 7249/13271040],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 23/147456],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 659/4423680],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 2399/2764800],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 7729/44236800],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 355/5308416],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 3871/44236800],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 984191/3397386240],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 11863/22118400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 469/13271040],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/40960],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 1/51200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 119/1966080],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/51200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 101/7864320],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 1/248832],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [20, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/184320],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 1/30720],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/663552],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/737280],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 5/147456],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 67/2949120],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1331/42467328],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 271/3981312],
[[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [16, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 5/221184],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 11/331776],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 11/245760],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 11/460800],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 5/331776],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/122880],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 5/110592],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 1/12288],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 1/92160],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 25/995328],
[[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/92160],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 7/147456],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 37/1990656],
[[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/153600],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 31/17694720],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/61440],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/23040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 31/230400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 287/2359296],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 5/55296],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 85/15925248],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 307/1105920],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 2699/5898240],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 29/92160],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 329/2359296],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/414720],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 95/442368],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 109/1966080],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 901/5308416],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 191/552960],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 6137/7077888],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1/61440],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 913/1474560],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1/30720],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 1/172800],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 11/57600],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 109/276480],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 583/8847360],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 13/46080],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 2899/10616832],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 1/69120],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 5/20736],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 41/983040],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 7/110592],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 211/663552],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 12941/21233664],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 7/221184],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 749/1327104],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 7/92160],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 29/172800],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 49/414720],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 4045/15925248],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 7/27648],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 67/2949120],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 57/204800],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 7/92160],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/8847360],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 463/1179648],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 161/921600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/393216],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 95/1769472],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 7249/13271040],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 7729/44236800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 2399/2764800],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 9181/17694720],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 133/1474560],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 23/147456],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 659/4423680],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 355/5308416],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 223/294912],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 24481/11796480],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 11213/33177600],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 599/884736],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 613/4423680],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 1837/2764800],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 89/1474560],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 1697/4423680],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 8119/10616832],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1631/4423680],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 355/1327104],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 359/1474560],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 197/307200],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1307/44236800],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 23/589824],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 4577/16588800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 552851/849346560],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 11863/22118400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 41/589824],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/122880],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 1/51200],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 3/655360],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/153600],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 19/70778880],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/122880],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/442368],
[[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/983040],
[[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1]], 1/1769472],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 11/737280],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/1105920],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/221184],
[[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 1/92160],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/276480],
[[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 1/663552],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/165888],
[[[1, 8], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/17694720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 1/414720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 31/230400],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 547/35389440],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 1/110592],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/5308416],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 13/276480],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 853/5898240],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 19/307200],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1099/106168320],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 31/6635520],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 49/5898240],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 317/8847360],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 49/368640],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 10283/106168320],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 1/1105920],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 407/4423680],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 121/829440],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 229/2949120],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/15360],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1777/53084160],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1/41472],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 29/2949120],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 25/221184],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 5653/35389440],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/276480],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 277/2211840],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 19/276480],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 49/414720],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 473/5308416],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 1/414720],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/27648],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/589824],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 19/1843200],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 41/1179648],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/5898240],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 31/26542080],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 1697/4423680],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 359/1474560],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1421/2764800],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 2431/26542080],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 163/13271040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 19/442368],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 983/14745600],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 253/5308416],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 223/294912],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 80281/106168320],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 409/5529600],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 3611/13271040],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 613/4423680],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 667/2764800],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 61/4423680],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 7249/13271040],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 1523/3317760],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 673/4423680],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 253/1327104],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 7729/44236800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 149/921600],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 41/9830400],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 19/1769472],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 11863/22118400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 552851/849346560],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 4577/16588800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 41/589824],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/19200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 17/35389440],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 1/414720],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 109/1966080],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 7/921600],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 17/53084160],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/6635520],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 1/327680],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/61440],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 377/70778880],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 11/5898240],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 1/69120],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 41/983040],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 47/53084160],
[[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 1/983040],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 7/221184],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 743/35389440],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 1/81920],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/23040],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 301/15925248],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/8847360],
[[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1843200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/393216],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/26542080],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 133/1474560],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 659/4423680],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 139/921600],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 145/10616832],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/2211840],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 31/6635520],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 21/1638400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 97/8847360],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 11213/33177600],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 28103/212336640],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 151/22118400],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 569/13271040],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 89/1474560],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 101/2764800],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1631/4423680],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 4297/26542080],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 37/1474560],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 97/2211840],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1307/44236800],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 19/2764800],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 23/88473600],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 31/26542080],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 11863/22118400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 984191/3397386240],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 3871/44236800],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 469/13271040],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/230400],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 49/5898240],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 1/1105920],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/14155776],
[[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/17694720],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 29/2949120],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/276480],
[[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 1/2359296],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 1/414720],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 1/589824],
[[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/5898240],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 163/13271040],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 983/14745600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 17/921600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 73/106168320],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/6635520],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 23/29491200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 7/8847360],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 409/5529600],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 757/53084160],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/11059200],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 17/6635520],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 61/4423680],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/921600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 673/4423680],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 23/786432],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1474560],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 7/2211840],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 41/9830400],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2764800],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/26542080],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 4577/16588800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 786589/10192158720],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 41/2764800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 103/13271040],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/2211840],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 21/1638400],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 1/106168320],
[[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/29491200],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 151/22118400],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 71/106168320],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/13271040],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 37/1474560],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 209/106168320],
[[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/88473600],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 3871/44236800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 21629/1698693120],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 7/7372800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 37/53084160],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 23/29491200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/11059200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 1/70778880],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 1/1474560],
[[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/17694720],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 41/2764800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1693/1698693120],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 1/44236800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/53084160],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 7/7372800],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 71/2038431744],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/44236800],
[[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/3397386240],
[[[2, 1], [4, 1], [6, 1], [8, 1], [12, 2], [24, 1]], 1/384],
[[[2, 1], [4, 1], [6, 3], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/1152],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [12, 2]], 1/576],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2], [18, 1]], 1/576],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [9, 1], [12, 1]], 1/3456],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/384],
[[[1, 1], [2, 2], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 1/144],
[[[1, 1], [2, 2], [3, 1], [6, 2], [10, 1], [12, 1], [30, 1]], 1/240],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/384],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/27648],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/1728],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/1728],
[[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/12288],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/6912],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/8192],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/110592],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/24576],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/46080],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/4423680],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 1], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/3072],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 2]], 1/576],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2], [18, 1]], 1/576],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [9, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 1/384],
[[[1, 2], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1], [15, 1]], 1/240],
[[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 1/384],
[[[1, 2], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/144],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 7/27648],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/576],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/576],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 25/36864],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/7680],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 137/221184],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/432],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/432],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 19/110592],
[[[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, 3], [8, 1], [12, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 23/82944],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 23/122880],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 35/73728],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/2560],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 19/276480],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 43/368640],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 173/13271040],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/276480],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/884736],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4423680],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/4608],
[[[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]], 1/6912],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 25/36864],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 137/221184],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 7/27648],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/432],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/432],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/576],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/576],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1024],
[[[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]], 5/9216],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 95/82944],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/24576],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 23/122880],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 451/221184],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/2560],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 25/27648],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/46080],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/6144],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 23/82944],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 11/76800],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 23/40960],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1303/2654208],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 11/92160],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 11/57600],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/43200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 67/491520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 173/13271040],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/7680],
[[[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], [16, 1]], 1/12288],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/8192],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1728],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 1/1728],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/7680],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1024],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 5/9216],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 25/27648],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 23/122880],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2560],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/24576],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 451/221184],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 95/82944],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 19/276480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/17280],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 11/92160],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 59/82944],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 43/368640],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 139/230400],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 23/40960],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 577/294912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/276480],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/6144],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 13/27648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2880],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/884736],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 131/345600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 2269/4423680],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 367/2654208],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/23040],
[[[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, 1], [16, 1]], 19/110592],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 23/122880],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/2560],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 35/73728],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 23/82944],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/276480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 13/27648],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 23/40960],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 139/230400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 43/368640],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 577/294912],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 11/92160],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/17280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 19/276480],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 59/82944],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 3/6400],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 67/491520],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 151/115200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 2269/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 443/884736],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/23040],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/24576],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 11/92160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 11/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 23/40960],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 11/76800],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1303/2654208],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/6144],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 23/82944],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 2269/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 151/115200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/23040],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 67/491520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 443/884736],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/276480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/28800],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 43/368640],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 173/13271040],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 19/276480],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 2269/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 131/345600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/23040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 17/884736],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 367/2654208],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/4423680],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 67/491520],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/43200],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/23040],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 173/13271040],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 17/884736],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/4423680],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/288],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/288],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920]
]}