{[
[[[1, 25]], 1/6011579824865280],
[[[2, 25]], 1/6011579824865280],
[[[1, 1], [2, 24]], 1/74217034874880],
[[[1, 2], [2, 23]], 13/27831388078080],
[[[1, 3], [2, 22]], 1381/150289495621632],
[[[1, 4], [2, 21]], 344429/3005789912432640],
[[[1, 5], [2, 20]], 962479/1001929970810880],
[[[1, 5], [4, 10]], 17/1610612736],
[[[1, 6], [2, 19]], 4233269/751447478108160],
[[[1, 7], [2, 18]], 17977139/751447478108160],
[[[1, 7], [3, 9]], 1/995328],
[[[1, 8], [2, 17]], 30492977/400771988324352],
[[[1, 9], [2, 16]], 1128664687/6011579824865280],
[[[1, 9], [3, 8]], 1/442368],
[[[1, 9], [4, 8]], 1639/869730877440],
[[[1, 9], [8, 4]], 1/377487360],
[[[1, 10], [2, 15]], 141428623/375723739054080],
[[[1, 11], [2, 14]], 79623899/125241246351360],
[[[1, 11], [3, 7]], 107/212336640],
[[[1, 12], [2, 13]], 1310734747/1502894956216320],
[[[1, 13], [2, 12]], 1310734747/1502894956216320],
[[[1, 13], [3, 6]], 329/2866544640],
[[[1, 13], [4, 6]], 47/1739461754880],
[[[1, 14], [2, 11]], 79623899/125241246351360],
[[[1, 15], [2, 10]], 141428623/375723739054080],
[[[1, 15], [3, 5]], 1/23887872],
[[[1, 16], [2, 9]], 1128664687/6011579824865280],
[[[1, 17], [2, 8]], 30492977/400771988324352],
[[[1, 17], [3, 4]], 11/2548039680],
[[[1, 17], [4, 4]], 11/6957847019520],
[[[1, 18], [2, 7]], 17977139/751447478108160],
[[[1, 19], [2, 6]], 4233269/751447478108160],
[[[1, 19], [3, 3]], 73/366917713920],
[[[1, 20], [2, 5]], 962479/1001929970810880],
[[[1, 21], [2, 4]], 344429/3005789912432640],
[[[1, 21], [3, 2]], 71/15655155793920],
[[[1, 21], [4, 2]], 19/500964985405440],
[[[1, 21], [5, 1]], 1/2609192632320],
[[[1, 22], [2, 3]], 1381/150289495621632],
[[[1, 23], [2, 2]], 13/27831388078080],
[[[1, 23], [3, 1]], 1/20873541058560],
[[[1, 24], [2, 1]], 1/74217034874880],
[[[2, 5], [4, 10]], 17/1610612736],
[[[2, 7], [6, 9]], 1/995328],
[[[2, 9], [4, 8]], 1639/869730877440],
[[[2, 9], [6, 8]], 1/442368],
[[[2, 9], [8, 4]], 1/377487360],
[[[2, 11], [6, 7]], 107/212336640],
[[[2, 13], [4, 6]], 47/1739461754880],
[[[2, 13], [6, 6]], 329/2866544640],
[[[2, 15], [6, 5]], 1/23887872],
[[[2, 17], [4, 4]], 11/6957847019520],
[[[2, 17], [6, 4]], 11/2548039680],
[[[2, 19], [6, 3]], 73/366917713920],
[[[2, 21], [4, 2]], 19/500964985405440],
[[[2, 21], [6, 2]], 71/15655155793920],
[[[2, 21], [10, 1]], 1/2609192632320],
[[[2, 23], [6, 1]], 1/20873541058560],
[[[1, 1], [2, 4], [4, 10]], 85/1610612736],
[[[1, 1], [2, 4], [8, 5]], 17/786432],
[[[1, 1], [2, 6], [4, 9]], 731/2415919104],
[[[1, 1], [2, 8], [4, 8]], 9389/289910292480],
[[[1, 1], [2, 8], [6, 8]], 5/663552],
[[[1, 1], [2, 8], [8, 4]], 11/125829120],
[[[1, 1], [2, 10], [4, 7]], 1021/36238786560],
[[[1, 1], [2, 10], [6, 7]], 97/21233664],
[[[1, 1], [2, 12], [4, 6]], 31/38654705664],
[[[1, 1], [2, 12], [6, 6]], 419/955514880],
[[[1, 1], [2, 14], [4, 5]], 131/289910292480],
[[[1, 1], [2, 14], [6, 5]], 11/23887872],
[[[1, 1], [2, 16], [4, 4]], 467/6957847019520],
[[[1, 1], [2, 16], [6, 4]], 739/7644119040],
[[[1, 1], [2, 18], [4, 3]], 89/5218385264640],
[[[1, 1], [2, 18], [6, 3]], 169/24461180928],
[[[1, 1], [2, 20], [4, 2]], 119/55662776156160],
[[[1, 1], [2, 20], [6, 2]], 3397/15655155793920],
[[[1, 1], [2, 20], [8, 1]], 1/4174708211712],
[[[1, 1], [2, 20], [10, 1]], 17/869730877440],
[[[1, 1], [2, 22], [4, 1]], 47/250482492702720],
[[[1, 1], [2, 22], [6, 1]], 187/62620623175680],
[[[1, 1], [4, 4], [8, 4]], 7/2359296],
[[[1, 1], [4, 4], [16, 2]], 1/49152],
[[[1, 1], [4, 8], [8, 2]], 1/9437184],
[[[1, 2], [2, 3], [4, 10]], 85/805306368],
[[[1, 2], [2, 3], [8, 5]], 17/262144],
[[[1, 2], [2, 5], [4, 9]], 1241/805306368],
[[[1, 2], [2, 7], [4, 8]], 82481/27179089920],
[[[1, 2], [2, 7], [6, 8]], 1/1327104],
[[[1, 2], [2, 7], [8, 4]], 103/47185920],
[[[1, 2], [2, 7], [16, 2]], 1/983040],
[[[1, 2], [2, 9], [4, 7]], 1993/4026531840],
[[[1, 2], [2, 9], [6, 7]], 461/42467328],
[[[1, 2], [2, 11], [4, 6]], 105541/869730877440],
[[[1, 2], [2, 11], [6, 6]], 235/191102976],
[[[1, 2], [2, 13], [4, 5]], 29/2147483648],
[[[1, 2], [2, 13], [6, 5]], 35/23887872],
[[[1, 2], [2, 15], [4, 4]], 6361/1739461754880],
[[[1, 2], [2, 15], [6, 4]], 5659/7644119040],
[[[1, 2], [2, 17], [4, 3]], 1271/1739461754880],
[[[1, 2], [2, 17], [6, 3]], 11267/122305904640],
[[[1, 2], [2, 19], [3, 2]], 1/9393093476352],
[[[1, 2], [2, 19], [4, 2]], 1613/16698832846848],
[[[1, 2], [2, 19], [5, 1]], 1/2609192632320],
[[[1, 2], [2, 19], [6, 2]], 13289/3131031158784],
[[[1, 2], [2, 19], [8, 1]], 17/1391569403904],
[[[1, 2], [2, 19], [10, 1]], 361/869730877440],
[[[1, 2], [2, 21], [3, 1]], 19/187861869527040],
[[[1, 2], [2, 21], [4, 1]], 901/83494164234240],
[[[1, 2], [2, 21], [6, 1]], 617/7827577896960],
[[[1, 3], [2, 2], [4, 10]], 85/805306368],
[[[1, 3], [2, 2], [8, 5]], 17/262144],
[[[1, 3], [2, 4], [4, 9]], 3757/1207959552],
[[[1, 3], [2, 6], [4, 8]], 844079/54358179840],
[[[1, 3], [2, 6], [8, 4]], 809/47185920],
[[[1, 3], [2, 6], [16, 2]], 7/327680],
[[[1, 3], [2, 8], [4, 7]], 364739/27179089920],
[[[1, 3], [2, 8], [6, 7]], 53/10616832],
[[[1, 3], [2, 10], [4, 6]], 370681/173946175488],
[[[1, 3], [2, 10], [6, 6]], 1657/573308928],
[[[1, 3], [2, 10], [8, 3]], 1/15728640],
[[[1, 3], [2, 12], [4, 5]], 59207/144955146240],
[[[1, 3], [2, 12], [6, 5]], 53/23887872],
[[[1, 3], [2, 14], [4, 4]], 149441/1739461754880],
[[[1, 3], [2, 14], [6, 4]], 6571/2548039680],
[[[1, 3], [2, 16], [4, 3]], 1409/81537269760],
[[[1, 3], [2, 16], [6, 3]], 224239/366917713920],
[[[1, 3], [2, 18], [3, 2]], 17/3131031158784],
[[[1, 3], [2, 18], [4, 2]], 664211/250482492702720],
[[[1, 3], [2, 18], [5, 1]], 17/869730877440],
[[[1, 3], [2, 18], [6, 2]], 693439/15655155793920],
[[[1, 3], [2, 18], [8, 1]], 361/1391569403904],
[[[1, 3], [2, 18], [10, 1]], 2501/521838526464],
[[[1, 3], [2, 20], [3, 1]], 119/20873541058560],
[[[1, 3], [2, 20], [4, 1]], 33037/125241246351360],
[[[1, 3], [2, 20], [6, 1]], 6043/5218385264640],
[[[1, 3], [4, 1], [8, 5]], 17/786432],
[[[1, 3], [4, 5], [8, 3]], 1/524288],
[[[1, 3], [4, 9], [8, 1]], 17/201326592],
[[[1, 4], [2, 1], [4, 10]], 85/1610612736],
[[[1, 4], [2, 1], [8, 5]], 17/786432],
[[[1, 4], [2, 3], [4, 9]], 3757/1207959552],
[[[1, 4], [2, 5], [4, 8]], 2898605/86973087744],
[[[1, 4], [2, 5], [8, 4]], 5081/113246208],
[[[1, 4], [2, 5], [16, 2]], 25/294912],
[[[1, 4], [2, 7], [4, 7]], 1828493/27179089920],
[[[1, 4], [2, 7], [6, 7]], 13/42467328],
[[[1, 4], [2, 9], [4, 6]], 58357157/1739461754880],
[[[1, 4], [2, 9], [6, 6]], 73/21233664],
[[[1, 4], [2, 9], [8, 3]], 17/15728640],
[[[1, 4], [2, 11], [4, 5]], 2485109/434865438720],
[[[1, 4], [2, 11], [6, 5]], 133/71663616],
[[[1, 4], [2, 13], [4, 4]], 698999/579820584960],
[[[1, 4], [2, 13], [6, 4]], 11639/2293235712],
[[[1, 4], [2, 13], [8, 2]], 1/1132462080],
[[[1, 4], [2, 15], [3, 3]], 1/73383542784],
[[[1, 4], [2, 15], [4, 3]], 167287/652298158080],
[[[1, 4], [2, 15], [6, 3]], 836969/366917713920],
[[[1, 4], [2, 17], [3, 2]], 1981/15655155793920],
[[[1, 4], [2, 17], [4, 2]], 6729937/166988328468480],
[[[1, 4], [2, 17], [5, 1]], 361/869730877440],
[[[1, 4], [2, 17], [6, 2]], 3214097/11741366845440],
[[[1, 4], [2, 17], [8, 1]], 12505/4174708211712],
[[[1, 4], [2, 17], [10, 1]], 21757/652298158080],
[[[1, 4], [2, 19], [3, 1]], 6407/46965467381760],
[[[1, 4], [2, 19], [4, 1]], 451117/125241246351360],
[[[1, 4], [2, 19], [6, 1]], 1976171/187861869527040],
[[[1, 5], [2, 2], [4, 9]], 1241/805306368],
[[[1, 5], [2, 4], [4, 8]], 2898605/86973087744],
[[[1, 5], [2, 4], [8, 4]], 5081/113246208],
[[[1, 5], [2, 4], [16, 2]], 25/294912],
[[[1, 5], [2, 6], [3, 7]], 1/637009920],
[[[1, 5], [2, 6], [4, 7]], 8990603/54358179840],
[[[1, 5], [2, 6], [6, 7]], 1/21233664],
[[[1, 5], [2, 8], [4, 6]], 282881593/1739461754880],
[[[1, 5], [2, 8], [6, 6]], 41/21233664],
[[[1, 5], [2, 8], [8, 3]], 1073/141557760],
[[[1, 5], [2, 10], [4, 5]], 144101549/2609192632320],
[[[1, 5], [2, 10], [6, 5]], 7/7962624],
[[[1, 5], [2, 12], [4, 4]], 3722525/347892350976],
[[[1, 5], [2, 12], [6, 4]], 4775/764411904],
[[[1, 5], [2, 12], [8, 2]], 11/377487360],
[[[1, 5], [2, 14], [3, 3]], 13/24461180928],
[[[1, 5], [2, 14], [4, 3]], 493619/217432719360],
[[[1, 5], [2, 14], [6, 3]], 656557/122305904640],
[[[1, 5], [2, 16], [3, 2]], 84941/46965467381760],
[[[1, 5], [2, 16], [4, 2]], 6582053/18554258718720],
[[[1, 5], [2, 16], [5, 1]], 2501/521838526464],
[[[1, 5], [2, 16], [6, 2]], 1403083/1304596316160],
[[[1, 5], [2, 16], [8, 1]], 21757/1043677052928],
[[[1, 5], [2, 16], [10, 1]], 32557/217432719360],
[[[1, 5], [2, 18], [3, 1]], 42761/23482733690880],
[[[1, 5], [2, 18], [4, 1]], 7658243/250482492702720],
[[[1, 5], [2, 18], [6, 1]], 3923141/62620623175680],
[[[1, 5], [3, 2], [4, 8]], 19/1358954496],
[[[1, 5], [3, 2], [8, 4]], 1/589824],
[[[1, 5], [3, 7], [9, 1]], 1/31104],
[[[1, 5], [4, 2], [8, 4]], 95/18874368],
[[[1, 5], [4, 2], [16, 2]], 1/196608],
[[[1, 5], [4, 6], [8, 2]], 19/37748736],
[[[1, 5], [4, 6], [12, 2]], 1/98304],
[[[1, 5], [4, 8], [5, 1]], 19/377487360],
[[[1, 5], [4, 8], [12, 1]], 1/1572864],
[[[1, 5], [5, 1], [8, 4]], 1/163840],
[[[1, 6], [2, 1], [4, 9]], 731/2415919104],
[[[1, 6], [2, 3], [4, 8]], 844079/54358179840],
[[[1, 6], [2, 3], [8, 4]], 809/47185920],
[[[1, 6], [2, 3], [16, 2]], 7/327680],
[[[1, 6], [2, 5], [3, 7]], 1/21233664],
[[[1, 6], [2, 5], [4, 7]], 8990603/54358179840],
[[[1, 6], [2, 5], [6, 7]], 1/637009920],
[[[1, 6], [2, 7], [3, 6]], 1/106168320],
[[[1, 6], [2, 7], [4, 6]], 33121603/86973087744],
[[[1, 6], [2, 7], [6, 6]], 91/318504960],
[[[1, 6], [2, 7], [8, 3]], 2669/141557760],
[[[1, 6], [2, 9], [4, 5]], 620182037/2609192632320],
[[[1, 6], [2, 9], [6, 5]], 5/23887872],
[[[1, 6], [2, 11], [3, 4]], 1/1528823808],
[[[1, 6], [2, 11], [4, 4]], 332862397/5218385264640],
[[[1, 6], [2, 11], [6, 4]], 57437/11466178560],
[[[1, 6], [2, 11], [8, 2]], 137/339738624],
[[[1, 6], [2, 13], [3, 3]], 3173/366917713920],
[[[1, 6], [2, 13], [4, 3]], 797383/65229815808],
[[[1, 6], [2, 13], [6, 3]], 3132353/366917713920],
[[[1, 6], [2, 15], [3, 2]], 13663/782757789696],
[[[1, 6], [2, 15], [4, 2]], 120860717/62620623175680],
[[[1, 6], [2, 15], [5, 1]], 21757/652298158080],
[[[1, 6], [2, 15], [6, 2]], 11254133/3913788948480],
[[[1, 6], [2, 15], [8, 1]], 32557/347892350976],
[[[1, 6], [2, 15], [10, 1]], 100913/217432719360],
[[[1, 6], [2, 17], [3, 1]], 105023/6957847019520],
[[[1, 6], [2, 17], [4, 1]], 42996899/250482492702720],
[[[1, 6], [2, 17], [6, 1]], 602147/2348273369088],
[[[1, 7], [2, 2], [3, 8]], 1/1327104],
[[[1, 7], [2, 2], [4, 8]], 82481/27179089920],
[[[1, 7], [2, 2], [8, 4]], 103/47185920],
[[[1, 7], [2, 2], [16, 2]], 1/983040],
[[[1, 7], [2, 4], [3, 7]], 13/42467328],
[[[1, 7], [2, 4], [4, 7]], 1828493/27179089920],
[[[1, 7], [2, 6], [3, 6]], 91/318504960],
[[[1, 7], [2, 6], [4, 6]], 33121603/86973087744],
[[[1, 7], [2, 6], [6, 6]], 1/106168320],
[[[1, 7], [2, 6], [8, 3]], 2669/141557760],
[[[1, 7], [2, 8], [4, 5]], 327158737/652298158080],
[[[1, 7], [2, 8], [6, 5]], 1/71663616],
[[[1, 7], [2, 10], [3, 4]], 1/56623104],
[[[1, 7], [2, 10], [4, 4]], 1152634357/5218385264640],
[[[1, 7], [2, 10], [6, 4]], 30151/11466178560],
[[[1, 7], [2, 10], [8, 2]], 3961/1698693120],
[[[1, 7], [2, 12], [3, 3]], 5743/73383542784],
[[[1, 7], [2, 12], [4, 3]], 10310941/217432719360],
[[[1, 7], [2, 12], [6, 3]], 3491543/366917713920],
[[[1, 7], [2, 14], [3, 2]], 453281/3913788948480],
[[[1, 7], [2, 14], [4, 2]], 1104433/154618822656],
[[[1, 7], [2, 14], [5, 1]], 32557/217432719360],
[[[1, 7], [2, 14], [6, 2]], 64508261/11741366845440],
[[[1, 7], [2, 14], [8, 1]], 513781/1739461754880],
[[[1, 7], [2, 14], [10, 1]], 681409/652298158080],
[[[1, 7], [2, 16], [3, 1]], 15551213/187861869527040],
[[[1, 7], [2, 16], [4, 1]], 21024487/31310311587840],
[[[1, 7], [2, 16], [6, 1]], 1107493/1467670855680],
[[[1, 7], [3, 1], [4, 8]], 343/5435817984],
[[[1, 7], [3, 1], [8, 4]], 1/2359296],
[[[1, 7], [3, 3], [4, 6]], 1/42467328],
[[[1, 7], [3, 6], [9, 1]], 1/13824],
[[[1, 7], [3, 7], [4, 2]], 1/3538944],
[[[1, 7], [3, 7], [5, 1]], 1/276480],
[[[1, 7], [3, 7], [6, 2]], 1/995328],
[[[1, 7], [3, 7], [12, 1]], 1/165888],
[[[1, 7], [4, 3], [8, 3]], 1/1572864],
[[[1, 7], [4, 7], [8, 1]], 11/201326592],
[[[1, 8], [2, 1], [3, 8]], 5/663552],
[[[1, 8], [2, 1], [4, 8]], 9389/289910292480],
[[[1, 8], [2, 1], [8, 4]], 11/125829120],
[[[1, 8], [2, 3], [3, 7]], 53/10616832],
[[[1, 8], [2, 3], [4, 7]], 364739/27179089920],
[[[1, 8], [2, 5], [3, 6]], 41/21233664],
[[[1, 8], [2, 5], [4, 6]], 282881593/1739461754880],
[[[1, 8], [2, 5], [8, 3]], 1073/141557760],
[[[1, 8], [2, 7], [3, 5]], 1/71663616],
[[[1, 8], [2, 7], [4, 5]], 327158737/652298158080],
[[[1, 8], [2, 9], [3, 4]], 4069/22932357120],
[[[1, 8], [2, 9], [4, 4]], 877386467/2087354105856],
[[[1, 8], [2, 9], [6, 4]], 6749/7644119040],
[[[1, 8], [2, 9], [8, 2]], 9323/1698693120],
[[[1, 8], [2, 11], [3, 3]], 61927/122305904640],
[[[1, 8], [2, 11], [4, 3]], 2839771/21743271936],
[[[1, 8], [2, 11], [6, 3]], 945377/122305904640],
[[[1, 8], [2, 13], [3, 2]], 142363/260919263232],
[[[1, 8], [2, 13], [4, 2]], 1697018417/83494164234240],
[[[1, 8], [2, 13], [5, 1]], 20797/43486543872],
[[[1, 8], [2, 13], [6, 2]], 6780601/869730877440],
[[[1, 8], [2, 13], [8, 1]], 3877061/5218385264640],
[[[1, 8], [2, 13], [10, 1]], 792157/434865438720],
[[[1, 8], [2, 15], [3, 1]], 621937/1956894474240],
[[[1, 8], [2, 15], [4, 1]], 60780247/31310311587840],
[[[1, 8], [2, 15], [6, 1]], 52020943/31310311587840],
[[[1, 9], [2, 2], [3, 7]], 461/42467328],
[[[1, 9], [2, 2], [4, 7]], 1993/4026531840],
[[[1, 9], [2, 4], [3, 6]], 73/21233664],
[[[1, 9], [2, 4], [4, 6]], 58357157/1739461754880],
[[[1, 9], [2, 4], [8, 3]], 17/15728640],
[[[1, 9], [2, 6], [3, 5]], 5/23887872],
[[[1, 9], [2, 6], [4, 5]], 620182037/2609192632320],
[[[1, 9], [2, 8], [3, 4]], 6749/7644119040],
[[[1, 9], [2, 8], [4, 4]], 877386467/2087354105856],
[[[1, 9], [2, 8], [6, 4]], 4069/22932357120],
[[[1, 9], [2, 8], [8, 2]], 9323/1698693120],
[[[1, 9], [2, 10], [3, 3]], 771059/366917713920],
[[[1, 9], [2, 10], [4, 3]], 199248631/869730877440],
[[[1, 9], [2, 10], [6, 3]], 1762349/366917713920],
[[[1, 9], [2, 12], [3, 2]], 168083/86973087744],
[[[1, 9], [2, 12], [4, 2]], 11436768671/250482492702720],
[[[1, 9], [2, 12], [5, 1]], 801217/652298158080],
[[[1, 9], [2, 12], [6, 2]], 67822739/7827577896960],
[[[1, 9], [2, 12], [8, 1]], 639881/386547056640],
[[[1, 9], [2, 12], [10, 1]], 376109/144955146240],
[[[1, 9], [2, 14], [3, 1]], 3574931/3913788948480],
[[[1, 9], [2, 14], [4, 1]], 6915943/1546188226560],
[[[1, 9], [2, 14], [6, 1]], 268759949/93930934763520],
[[[1, 9], [3, 2], [4, 6]], 5/150994944],
[[[1, 9], [3, 4], [4, 4]], 1/10616832],
[[[1, 9], [3, 5], [9, 1]], 107/6635520],
[[[1, 9], [3, 6], [4, 2]], 1/1769472],
[[[1, 9], [3, 6], [5, 1]], 1/138240],
[[[1, 9], [3, 6], [6, 2]], 1/3981312],
[[[1, 9], [3, 6], [12, 1]], 1/663552],
[[[1, 9], [4, 4], [8, 2]], 23/1132462080],
[[[1, 9], [4, 4], [12, 2]], 1/53084160],
[[[1, 9], [4, 6], [5, 1]], 1/377487360],
[[[1, 9], [4, 6], [12, 1]], 23/424673280],
[[[1, 10], [2, 1], [3, 7]], 97/21233664],
[[[1, 10], [2, 1], [4, 7]], 1021/36238786560],
[[[1, 10], [2, 3], [3, 6]], 1657/573308928],
[[[1, 10], [2, 3], [4, 6]], 370681/173946175488],
[[[1, 10], [2, 3], [8, 3]], 1/15728640],
[[[1, 10], [2, 5], [3, 5]], 7/7962624],
[[[1, 10], [2, 5], [4, 5]], 144101549/2609192632320],
[[[1, 10], [2, 7], [3, 4]], 30151/11466178560],
[[[1, 10], [2, 7], [4, 4]], 1152634357/5218385264640],
[[[1, 10], [2, 7], [6, 4]], 1/56623104],
[[[1, 10], [2, 7], [8, 2]], 3961/1698693120],
[[[1, 10], [2, 9], [3, 3]], 1762349/366917713920],
[[[1, 10], [2, 9], [4, 3]], 199248631/869730877440],
[[[1, 10], [2, 9], [6, 3]], 771059/366917713920],
[[[1, 10], [2, 11], [3, 2]], 12693787/2609192632320],
[[[1, 10], [2, 11], [4, 2]], 615403487/8349416423424],
[[[1, 10], [2, 11], [5, 1]], 1093213/434865438720],
[[[1, 10], [2, 11], [6, 2]], 60327139/7827577896960],
[[[1, 10], [2, 11], [8, 1]], 9602467/3478923509760],
[[[1, 10], [2, 11], [10, 1]], 90377/28991029248],
[[[1, 10], [2, 13], [3, 1]], 13130681/6262062317568],
[[[1, 10], [2, 13], [4, 1]], 1070132023/125241246351360],
[[[1, 10], [2, 13], [6, 1]], 7891913/1956894474240],
[[[1, 11], [2, 2], [3, 6]], 235/191102976],
[[[1, 11], [2, 2], [4, 6]], 105541/869730877440],
[[[1, 11], [2, 4], [3, 5]], 133/71663616],
[[[1, 11], [2, 4], [4, 5]], 2485109/434865438720],
[[[1, 11], [2, 6], [3, 4]], 57437/11466178560],
[[[1, 11], [2, 6], [4, 4]], 332862397/5218385264640],
[[[1, 11], [2, 6], [6, 4]], 1/1528823808],
[[[1, 11], [2, 6], [8, 2]], 137/339738624],
[[[1, 11], [2, 8], [3, 3]], 945377/122305904640],
[[[1, 11], [2, 8], [4, 3]], 2839771/21743271936],
[[[1, 11], [2, 8], [6, 3]], 61927/122305904640],
[[[1, 11], [2, 10], [3, 2]], 60327139/7827577896960],
[[[1, 11], [2, 10], [4, 2]], 615403487/8349416423424],
[[[1, 11], [2, 10], [5, 1]], 90377/28991029248],
[[[1, 11], [2, 10], [6, 2]], 12693787/2609192632320],
[[[1, 11], [2, 10], [8, 1]], 9602467/3478923509760],
[[[1, 11], [2, 10], [10, 1]], 1093213/434865438720],
[[[1, 11], [2, 12], [3, 1]], 116737561/31310311587840],
[[[1, 11], [2, 12], [4, 1]], 29404453/2319282339840],
[[[1, 11], [2, 12], [6, 1]], 35836429/7827577896960],
[[[1, 11], [3, 1], [4, 6]], 17/9059696640],
[[[1, 11], [3, 3], [4, 4]], 13/169869312],
[[[1, 11], [3, 4], [9, 1]], 1/9953280],
[[[1, 11], [3, 5], [4, 2]], 1/5971968],
[[[1, 11], [3, 5], [6, 2]], 1/637009920],
[[[1, 11], [3, 5], [12, 1]], 1/106168320],
[[[1, 11], [4, 5], [8, 1]], 1/4831838208],
[[[1, 12], [2, 1], [3, 6]], 419/955514880],
[[[1, 12], [2, 1], [4, 6]], 31/38654705664],
[[[1, 12], [2, 3], [3, 5]], 53/23887872],
[[[1, 12], [2, 3], [4, 5]], 59207/144955146240],
[[[1, 12], [2, 5], [3, 4]], 4775/764411904],
[[[1, 12], [2, 5], [4, 4]], 3722525/347892350976],
[[[1, 12], [2, 5], [8, 2]], 11/377487360],
[[[1, 12], [2, 7], [3, 3]], 3491543/366917713920],
[[[1, 12], [2, 7], [4, 3]], 10310941/217432719360],
[[[1, 12], [2, 7], [6, 3]], 5743/73383542784],
[[[1, 12], [2, 9], [3, 2]], 67822739/7827577896960],
[[[1, 12], [2, 9], [4, 2]], 11436768671/250482492702720],
[[[1, 12], [2, 9], [5, 1]], 376109/144955146240],
[[[1, 12], [2, 9], [6, 2]], 168083/86973087744],
[[[1, 12], [2, 9], [8, 1]], 639881/386547056640],
[[[1, 12], [2, 9], [10, 1]], 801217/652298158080],
[[[1, 12], [2, 11], [3, 1]], 35836429/7827577896960],
[[[1, 12], [2, 11], [4, 1]], 29404453/2319282339840],
[[[1, 12], [2, 11], [6, 1]], 116737561/31310311587840],
[[[1, 13], [2, 2], [3, 5]], 35/23887872],
[[[1, 13], [2, 2], [4, 5]], 29/2147483648],
[[[1, 13], [2, 4], [3, 4]], 11639/2293235712],
[[[1, 13], [2, 4], [4, 4]], 698999/579820584960],
[[[1, 13], [2, 4], [8, 2]], 1/1132462080],
[[[1, 13], [2, 6], [3, 3]], 3132353/366917713920],
[[[1, 13], [2, 6], [4, 3]], 797383/65229815808],
[[[1, 13], [2, 6], [6, 3]], 3173/366917713920],
[[[1, 13], [2, 8], [3, 2]], 6780601/869730877440],
[[[1, 13], [2, 8], [4, 2]], 1697018417/83494164234240],
[[[1, 13], [2, 8], [5, 1]], 792157/434865438720],
[[[1, 13], [2, 8], [6, 2]], 142363/260919263232],
[[[1, 13], [2, 8], [8, 1]], 3877061/5218385264640],
[[[1, 13], [2, 8], [10, 1]], 20797/43486543872],
[[[1, 13], [2, 10], [3, 1]], 7891913/1956894474240],
[[[1, 13], [2, 10], [4, 1]], 1070132023/125241246351360],
[[[1, 13], [2, 10], [6, 1]], 13130681/6262062317568],
[[[1, 13], [3, 2], [4, 4]], 37/6039797760],
[[[1, 13], [3, 4], [4, 2]], 17/191102976],
[[[1, 13], [3, 4], [5, 1]], 1/2488320],
[[[1, 13], [4, 4], [5, 1]], 1/3019898880],
[[[1, 14], [2, 1], [3, 5]], 11/23887872],
[[[1, 14], [2, 1], [4, 5]], 131/289910292480],
[[[1, 14], [2, 3], [3, 4]], 6571/2548039680],
[[[1, 14], [2, 3], [4, 4]], 149441/1739461754880],
[[[1, 14], [2, 5], [3, 3]], 656557/122305904640],
[[[1, 14], [2, 5], [4, 3]], 493619/217432719360],
[[[1, 14], [2, 5], [6, 3]], 13/24461180928],
[[[1, 14], [2, 7], [3, 2]], 64508261/11741366845440],
[[[1, 14], [2, 7], [4, 2]], 1104433/154618822656],
[[[1, 14], [2, 7], [5, 1]], 681409/652298158080],
[[[1, 14], [2, 7], [6, 2]], 453281/3913788948480],
[[[1, 14], [2, 7], [8, 1]], 513781/1739461754880],
[[[1, 14], [2, 7], [10, 1]], 32557/217432719360],
[[[1, 14], [2, 9], [3, 1]], 268759949/93930934763520],
[[[1, 14], [2, 9], [4, 1]], 6915943/1546188226560],
[[[1, 14], [2, 9], [6, 1]], 3574931/3913788948480],
[[[1, 15], [2, 2], [3, 4]], 5659/7644119040],
[[[1, 15], [2, 2], [4, 4]], 6361/1739461754880],
[[[1, 15], [2, 4], [3, 3]], 836969/366917713920],
[[[1, 15], [2, 4], [4, 3]], 167287/652298158080],
[[[1, 15], [2, 4], [6, 3]], 1/73383542784],
[[[1, 15], [2, 6], [3, 2]], 11254133/3913788948480],
[[[1, 15], [2, 6], [4, 2]], 120860717/62620623175680],
[[[1, 15], [2, 6], [5, 1]], 100913/217432719360],
[[[1, 15], [2, 6], [6, 2]], 13663/782757789696],
[[[1, 15], [2, 6], [8, 1]], 32557/347892350976],
[[[1, 15], [2, 6], [10, 1]], 21757/652298158080],
[[[1, 15], [2, 8], [3, 1]], 52020943/31310311587840],
[[[1, 15], [2, 8], [4, 1]], 60780247/31310311587840],
[[[1, 15], [2, 8], [6, 1]], 621937/1956894474240],
[[[1, 15], [3, 1], [4, 4]], 37/217432719360],
[[[1, 15], [3, 3], [4, 2]], 263/30576476160],
[[[1, 15], [3, 3], [5, 1]], 1/19906560],
[[[1, 15], [4, 3], [8, 1]], 1/86973087744],
[[[1, 16], [2, 1], [3, 4]], 739/7644119040],
[[[1, 16], [2, 1], [4, 4]], 467/6957847019520],
[[[1, 16], [2, 3], [3, 3]], 224239/366917713920],
[[[1, 16], [2, 3], [4, 3]], 1409/81537269760],
[[[1, 16], [2, 5], [3, 2]], 1403083/1304596316160],
[[[1, 16], [2, 5], [4, 2]], 6582053/18554258718720],
[[[1, 16], [2, 5], [5, 1]], 32557/217432719360],
[[[1, 16], [2, 5], [6, 2]], 84941/46965467381760],
[[[1, 16], [2, 5], [8, 1]], 21757/1043677052928],
[[[1, 16], [2, 5], [10, 1]], 2501/521838526464],
[[[1, 16], [2, 7], [3, 1]], 1107493/1467670855680],
[[[1, 16], [2, 7], [4, 1]], 21024487/31310311587840],
[[[1, 16], [2, 7], [6, 1]], 15551213/187861869527040],
[[[1, 17], [2, 2], [3, 3]], 11267/122305904640],
[[[1, 17], [2, 2], [4, 3]], 1271/1739461754880],
[[[1, 17], [2, 4], [3, 2]], 3214097/11741366845440],
[[[1, 17], [2, 4], [4, 2]], 6729937/166988328468480],
[[[1, 17], [2, 4], [5, 1]], 21757/652298158080],
[[[1, 17], [2, 4], [6, 2]], 1981/15655155793920],
[[[1, 17], [2, 4], [8, 1]], 12505/4174708211712],
[[[1, 17], [2, 4], [10, 1]], 361/869730877440],
[[[1, 17], [2, 6], [3, 1]], 602147/2348273369088],
[[[1, 17], [2, 6], [4, 1]], 42996899/250482492702720],
[[[1, 17], [2, 6], [6, 1]], 105023/6957847019520],
[[[1, 17], [3, 2], [4, 2]], 329/978447237120],
[[[1, 17], [3, 2], [5, 1]], 1/424673280],
[[[1, 17], [4, 2], [5, 1]], 1/54358179840],
[[[1, 18], [2, 1], [3, 3]], 169/24461180928],
[[[1, 18], [2, 1], [4, 3]], 89/5218385264640],
[[[1, 18], [2, 3], [3, 2]], 693439/15655155793920],
[[[1, 18], [2, 3], [4, 2]], 664211/250482492702720],
[[[1, 18], [2, 3], [5, 1]], 2501/521838526464],
[[[1, 18], [2, 3], [6, 2]], 17/3131031158784],
[[[1, 18], [2, 3], [8, 1]], 361/1391569403904],
[[[1, 18], [2, 3], [10, 1]], 17/869730877440],
[[[1, 18], [2, 5], [3, 1]], 3923141/62620623175680],
[[[1, 18], [2, 5], [4, 1]], 7658243/250482492702720],
[[[1, 18], [2, 5], [6, 1]], 42761/23482733690880],
[[[1, 19], [2, 2], [3, 2]], 13289/3131031158784],
[[[1, 19], [2, 2], [4, 2]], 1613/16698832846848],
[[[1, 19], [2, 2], [5, 1]], 361/869730877440],
[[[1, 19], [2, 2], [6, 2]], 1/9393093476352],
[[[1, 19], [2, 2], [8, 1]], 17/1391569403904],
[[[1, 19], [2, 2], [10, 1]], 1/2609192632320],
[[[1, 19], [2, 4], [3, 1]], 1976171/187861869527040],
[[[1, 19], [2, 4], [4, 1]], 451117/125241246351360],
[[[1, 19], [2, 4], [6, 1]], 6407/46965467381760],
[[[1, 19], [3, 1], [4, 2]], 23/3913788948480],
[[[1, 19], [3, 1], [5, 1]], 1/20384317440],
[[[1, 19], [4, 1], [8, 1]], 1/4174708211712],
[[[1, 20], [2, 1], [3, 2]], 3397/15655155793920],
[[[1, 20], [2, 1], [4, 2]], 119/55662776156160],
[[[1, 20], [2, 1], [5, 1]], 17/869730877440],
[[[1, 20], [2, 1], [8, 1]], 1/4174708211712],
[[[1, 20], [2, 3], [3, 1]], 6043/5218385264640],
[[[1, 20], [2, 3], [4, 1]], 33037/125241246351360],
[[[1, 20], [2, 3], [6, 1]], 119/20873541058560],
[[[1, 21], [2, 2], [3, 1]], 617/7827577896960],
[[[1, 21], [2, 2], [4, 1]], 901/83494164234240],
[[[1, 21], [2, 2], [6, 1]], 19/187861869527040],
[[[1, 22], [2, 1], [3, 1]], 187/62620623175680],
[[[1, 22], [2, 1], [4, 1]], 47/250482492702720],
[[[2, 1], [4, 4], [8, 4]], 7/2359296],
[[[2, 1], [4, 4], [16, 2]], 1/49152],
[[[2, 1], [4, 8], [8, 2]], 1/9437184],
[[[2, 3], [4, 1], [8, 5]], 17/786432],
[[[2, 3], [4, 5], [8, 3]], 1/524288],
[[[2, 3], [4, 9], [8, 1]], 17/201326592],
[[[2, 5], [4, 2], [8, 4]], 95/18874368],
[[[2, 5], [4, 2], [16, 2]], 1/196608],
[[[2, 5], [4, 6], [8, 2]], 19/37748736],
[[[2, 5], [4, 6], [12, 2]], 1/98304],
[[[2, 5], [4, 8], [6, 2]], 19/1358954496],
[[[2, 5], [4, 8], [10, 1]], 19/377487360],
[[[2, 5], [4, 8], [12, 1]], 1/1572864],
[[[2, 5], [6, 2], [8, 4]], 1/589824],
[[[2, 5], [6, 7], [18, 1]], 1/31104],
[[[2, 5], [8, 4], [10, 1]], 1/163840],
[[[2, 7], [3, 2], [6, 7]], 1/995328],
[[[2, 7], [4, 2], [6, 7]], 1/3538944],
[[[2, 7], [4, 3], [8, 3]], 1/1572864],
[[[2, 7], [4, 6], [6, 3]], 1/42467328],
[[[2, 7], [4, 7], [8, 1]], 11/201326592],
[[[2, 7], [4, 8], [6, 1]], 343/5435817984],
[[[2, 7], [6, 1], [8, 4]], 1/2359296],
[[[2, 7], [6, 6], [18, 1]], 1/13824],
[[[2, 7], [6, 7], [10, 1]], 1/276480],
[[[2, 7], [6, 7], [12, 1]], 1/165888],
[[[2, 9], [3, 2], [6, 6]], 1/3981312],
[[[2, 9], [4, 2], [6, 6]], 1/1769472],
[[[2, 9], [4, 4], [6, 4]], 1/10616832],
[[[2, 9], [4, 4], [8, 2]], 23/1132462080],
[[[2, 9], [4, 4], [12, 2]], 1/53084160],
[[[2, 9], [4, 6], [6, 2]], 5/150994944],
[[[2, 9], [4, 6], [10, 1]], 1/377487360],
[[[2, 9], [4, 6], [12, 1]], 23/424673280],
[[[2, 9], [6, 5], [18, 1]], 107/6635520],
[[[2, 9], [6, 6], [10, 1]], 1/138240],
[[[2, 9], [6, 6], [12, 1]], 1/663552],
[[[2, 11], [3, 2], [6, 5]], 1/637009920],
[[[2, 11], [4, 2], [6, 5]], 1/5971968],
[[[2, 11], [4, 4], [6, 3]], 13/169869312],
[[[2, 11], [4, 5], [8, 1]], 1/4831838208],
[[[2, 11], [4, 6], [6, 1]], 17/9059696640],
[[[2, 11], [6, 4], [18, 1]], 1/9953280],
[[[2, 11], [6, 5], [12, 1]], 1/106168320],
[[[2, 13], [4, 2], [6, 4]], 17/191102976],
[[[2, 13], [4, 4], [6, 2]], 37/6039797760],
[[[2, 13], [4, 4], [10, 1]], 1/3019898880],
[[[2, 13], [6, 4], [10, 1]], 1/2488320],
[[[2, 15], [4, 2], [6, 3]], 263/30576476160],
[[[2, 15], [4, 3], [8, 1]], 1/86973087744],
[[[2, 15], [4, 4], [6, 1]], 37/217432719360],
[[[2, 15], [6, 3], [10, 1]], 1/19906560],
[[[2, 17], [4, 2], [6, 2]], 329/978447237120],
[[[2, 17], [4, 2], [10, 1]], 1/54358179840],
[[[2, 17], [6, 2], [10, 1]], 1/424673280],
[[[2, 19], [4, 1], [8, 1]], 1/4174708211712],
[[[2, 19], [4, 2], [6, 1]], 23/3913788948480],
[[[2, 19], [6, 1], [10, 1]], 1/20384317440],
[[[1, 1], [2, 2], [4, 1], [8, 5]], 17/262144],
[[[1, 1], [2, 2], [4, 3], [8, 4]], 7/147456],
[[[1, 1], [2, 2], [4, 3], [16, 2]], 1/3072],
[[[1, 1], [2, 2], [4, 5], [8, 3]], 53/1572864],
[[[1, 1], [2, 2], [4, 7], [8, 2]], 7/2359296],
[[[1, 1], [2, 2], [4, 9], [8, 1]], 17/67108864],
[[[1, 1], [2, 4], [3, 1], [4, 9]], 17/301989888],
[[[1, 1], [2, 4], [4, 2], [8, 4]], 4619/18874368],
[[[1, 1], [2, 4], [4, 2], [16, 2]], 13/196608],
[[[1, 1], [2, 4], [4, 4], [8, 3]], 127/4718592],
[[[1, 1], [2, 4], [4, 6], [8, 2]], 391/37748736],
[[[1, 1], [2, 4], [4, 6], [12, 2]], 5/98304],
[[[1, 1], [2, 4], [4, 8], [6, 2]], 19/452984832],
[[[1, 1], [2, 4], [4, 8], [8, 1]], 4145/1811939328],
[[[1, 1], [2, 4], [4, 8], [10, 1]], 19/125829120],
[[[1, 1], [2, 4], [4, 8], [12, 1]], 5/1572864],
[[[1, 1], [2, 4], [4, 9], [6, 1]], 17/301989888],
[[[1, 1], [2, 4], [6, 2], [8, 4]], 1/196608],
[[[1, 1], [2, 4], [8, 1], [16, 2]], 1/8192],
[[[1, 1], [2, 4], [8, 3], [24, 1]], 1/3072],
[[[1, 1], [2, 4], [8, 4], [10, 1]], 3/163840],
[[[1, 1], [2, 6], [3, 1], [6, 8]], 19/995328],
[[[1, 1], [2, 6], [3, 3], [6, 6]], 19/995328],
[[[1, 1], [2, 6], [4, 1], [6, 8]], 1/663552],
[[[1, 1], [2, 6], [4, 1], [8, 4]], 43/5242880],
[[[1, 1], [2, 6], [4, 1], [16, 2]], 1/163840],
[[[1, 1], [2, 6], [4, 2], [6, 7]], 1/1769472],
[[[1, 1], [2, 6], [4, 3], [8, 3]], 65/1572864],
[[[1, 1], [2, 6], [4, 5], [8, 2]], 683/94371840],
[[[1, 1], [2, 6], [4, 5], [12, 2]], 1/36864],
[[[1, 1], [2, 6], [4, 6], [6, 3]], 1/14155776],
[[[1, 1], [2, 6], [4, 7], [5, 1]], 1/7864320],
[[[1, 1], [2, 6], [4, 7], [6, 2]], 37/56623104],
[[[1, 1], [2, 6], [4, 7], [8, 1]], 293/201326592],
[[[1, 1], [2, 6], [4, 7], [10, 1]], 7/5242880],
[[[1, 1], [2, 6], [4, 7], [12, 1]], 47/4718592],
[[[1, 1], [2, 6], [4, 8], [6, 1]], 199/603979776],
[[[1, 1], [2, 6], [6, 1], [8, 4]], 1/262144],
[[[1, 1], [2, 6], [6, 6], [18, 1]], 5/20736],
[[[1, 1], [2, 6], [6, 7], [8, 1]], 1/442368],
[[[1, 1], [2, 8], [3, 1], [4, 7]], 17/905969664],
[[[1, 1], [2, 8], [3, 1], [6, 7]], 7/147456],
[[[1, 1], [2, 8], [3, 2], [6, 6]], 1/663552],
[[[1, 1], [2, 8], [3, 3], [6, 5]], 13/3981312],
[[[1, 1], [2, 8], [4, 1], [6, 7]], 23/5308416],
[[[1, 1], [2, 8], [4, 2], [6, 6]], 5/1769472],
[[[1, 1], [2, 8], [4, 2], [8, 3]], 49/47185920],
[[[1, 1], [2, 8], [4, 4], [6, 4]], 1/3538944],
[[[1, 1], [2, 8], [4, 4], [8, 2]], 1573/377487360],
[[[1, 1], [2, 8], [4, 4], [12, 2]], 11/17694720],
[[[1, 1], [2, 8], [4, 5], [6, 3]], 1/1769472],
[[[1, 1], [2, 8], [4, 6], [6, 2]], 89/452984832],
[[[1, 1], [2, 8], [4, 6], [8, 1]], 6829/9059696640],
[[[1, 1], [2, 8], [4, 6], [10, 1]], 1/25165824],
[[[1, 1], [2, 8], [4, 6], [12, 1]], 133/141557760],
[[[1, 1], [2, 8], [4, 7], [6, 1]], 901/905969664],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 97/663552],
[[[1, 1], [2, 8], [6, 6], [8, 1]], 1/221184],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 1/46080],
[[[1, 1], [2, 8], [6, 6], [12, 1]], 1/110592],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 1711/212336640],
[[[1, 1], [2, 10], [3, 2], [6, 5]], 1/21233664],
[[[1, 1], [2, 10], [3, 3], [6, 4]], 13/637009920],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 7/2654208],
[[[1, 1], [2, 10], [4, 1], [8, 3]], 1/31457280],
[[[1, 1], [2, 10], [4, 2], [6, 5]], 1/1990656],
[[[1, 1], [2, 10], [4, 3], [6, 4]], 11/7962624],
[[[1, 1], [2, 10], [4, 3], [8, 2]], 1/23592960],
[[[1, 1], [2, 10], [4, 4], [6, 3]], 91/169869312],
[[[1, 1], [2, 10], [4, 5], [6, 2]], 43/75497472],
[[[1, 1], [2, 10], [4, 5], [8, 1]], 3079/24159191040],
[[[1, 1], [2, 10], [4, 5], [10, 1]], 1/20971520],
[[[1, 1], [2, 10], [4, 5], [12, 1]], 1/8847360],
[[[1, 1], [2, 10], [4, 6], [6, 1]], 301/9059696640],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 11/3317760],
[[[1, 1], [2, 10], [6, 5], [12, 1]], 1/3538944],
[[[1, 1], [2, 12], [3, 1], [4, 5]], 1/7247757312],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 43/59719680],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 7/5971968],
[[[1, 1], [2, 12], [4, 2], [6, 4]], 49/63700992],
[[[1, 1], [2, 12], [4, 3], [6, 3]], 7/7962624],
[[[1, 1], [2, 12], [4, 4], [6, 2]], 2053/18119393280],
[[[1, 1], [2, 12], [4, 4], [8, 1]], 13/4831838208],
[[[1, 1], [2, 12], [4, 4], [10, 1]], 3/335544320],
[[[1, 1], [2, 12], [4, 5], [6, 1]], 383/12079595520],
[[[1, 1], [2, 12], [6, 4], [8, 1]], 1/3981312],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 1/829440],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 1/11943936],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 49/95551488],
[[[1, 1], [2, 14], [4, 2], [6, 3]], 581/3397386240],
[[[1, 1], [2, 14], [4, 3], [6, 2]], 929/13589544960],
[[[1, 1], [2, 14], [4, 3], [8, 1]], 13/28991029248],
[[[1, 1], [2, 14], [4, 3], [10, 1]], 1/251658240],
[[[1, 1], [2, 14], [4, 4], [6, 1]], 25/4831838208],
[[[1, 1], [2, 14], [6, 3], [8, 1]], 1/31850496],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 1/1327104],
[[[1, 1], [2, 16], [3, 1], [4, 3]], 1/130459631616],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 1/254803968],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 181/3822059520],
[[[1, 1], [2, 16], [4, 2], [6, 2]], 697/65229815808],
[[[1, 1], [2, 16], [4, 2], [8, 1]], 7/86973087744],
[[[1, 1], [2, 16], [4, 2], [10, 1]], 13/18119393280],
[[[1, 1], [2, 16], [4, 3], [6, 1]], 1217/652298158080],
[[[1, 1], [2, 16], [6, 2], [8, 1]], 1/679477248],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 1/15728640],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 1/12230590464],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 877/489223618560],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 17/1391569403904],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 1/9059696640],
[[[1, 1], [2, 18], [4, 2], [6, 1]], 337/1304596316160],
[[[1, 1], [2, 18], [6, 1], [8, 1]], 1/32614907904],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 13/6794772480],
[[[1, 1], [2, 20], [3, 1], [4, 1]], 1/6262062317568],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/1565515579392],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 949/31310311587840],
[[[1, 1], [4, 2], [8, 4], [12, 1]], 7/73728],
[[[1, 1], [4, 2], [12, 1], [16, 2]], 1/1536],
[[[1, 1], [4, 4], [8, 2], [12, 2]], 1/9216],
[[[1, 1], [4, 4], [8, 2], [24, 1]], 1/18432],
[[[1, 1], [4, 6], [8, 2], [12, 1]], 1/147456],
[[[1, 2], [2, 1], [4, 1], [8, 5]], 17/262144],
[[[1, 2], [2, 1], [4, 3], [8, 4]], 7/147456],
[[[1, 2], [2, 1], [4, 3], [16, 2]], 1/3072],
[[[1, 2], [2, 1], [4, 5], [8, 3]], 53/1572864],
[[[1, 2], [2, 1], [4, 7], [8, 2]], 7/2359296],
[[[1, 2], [2, 1], [4, 9], [8, 1]], 17/67108864],
[[[1, 2], [2, 3], [3, 1], [4, 9]], 17/100663296],
[[[1, 2], [2, 3], [3, 2], [4, 8]], 83/1358954496],
[[[1, 2], [2, 3], [3, 2], [8, 4]], 1/589824],
[[[1, 2], [2, 3], [4, 2], [8, 4]], 2473/3145728],
[[[1, 2], [2, 3], [4, 2], [16, 2]], 23/32768],
[[[1, 2], [2, 3], [4, 4], [8, 3]], 2497/4718592],
[[[1, 2], [2, 3], [4, 6], [8, 2]], 529/6291456],
[[[1, 2], [2, 3], [4, 6], [12, 2]], 5/49152],
[[[1, 2], [2, 3], [4, 8], [5, 1]], 19/377487360],
[[[1, 2], [2, 3], [4, 8], [6, 2]], 121/1358954496],
[[[1, 2], [2, 3], [4, 8], [8, 1]], 12563/1811939328],
[[[1, 2], [2, 3], [4, 8], [10, 1]], 19/125829120],
[[[1, 2], [2, 3], [4, 8], [12, 1]], 5/786432],
[[[1, 2], [2, 3], [4, 9], [6, 1]], 17/100663296],
[[[1, 2], [2, 3], [5, 1], [8, 4]], 31/491520],
[[[1, 2], [2, 3], [5, 1], [16, 2]], 1/2560],
[[[1, 2], [2, 3], [6, 2], [8, 4]], 1/196608],
[[[1, 2], [2, 3], [8, 1], [16, 2]], 3/8192],
[[[1, 2], [2, 3], [8, 3], [24, 1]], 1/1024],
[[[1, 2], [2, 3], [8, 4], [10, 1]], 37/491520],
[[[1, 2], [2, 3], [10, 1], [16, 2]], 1/2560],
[[[1, 2], [2, 5], [3, 1], [4, 8]], 8557/5435817984],
[[[1, 2], [2, 5], [3, 1], [8, 4]], 109/7077888],
[[[1, 2], [2, 5], [3, 1], [16, 2]], 1/36864],
[[[1, 2], [2, 5], [3, 2], [6, 7]], 109/995328],
[[[1, 2], [2, 5], [3, 4], [6, 5]], 109/995328],
[[[1, 2], [2, 5], [4, 1], [8, 4]], 12707/47185920],
[[[1, 2], [2, 5], [4, 1], [16, 2]], 43/491520],
[[[1, 2], [2, 5], [4, 2], [6, 7]], 1/3538944],
[[[1, 2], [2, 5], [4, 3], [8, 3]], 2983/4718592],
[[[1, 2], [2, 5], [4, 5], [8, 2]], 14323/94371840],
[[[1, 2], [2, 5], [4, 5], [12, 2]], 1/6144],
[[[1, 2], [2, 5], [4, 6], [6, 3]], 19/42467328],
[[[1, 2], [2, 5], [4, 7], [5, 1]], 1/1572864],
[[[1, 2], [2, 5], [4, 7], [6, 2]], 37/18874368],
[[[1, 2], [2, 5], [4, 7], [8, 1]], 47291/1811939328],
[[[1, 2], [2, 5], [4, 7], [10, 1]], 67/15728640],
[[[1, 2], [2, 5], [4, 7], [12, 1]], 27/524288],
[[[1, 2], [2, 5], [4, 8], [6, 1]], 371/169869312],
[[[1, 2], [2, 5], [5, 1], [6, 7]], 1/276480],
[[[1, 2], [2, 5], [6, 1], [8, 4]], 19/589824],
[[[1, 2], [2, 5], [6, 1], [16, 2]], 1/12288],
[[[1, 2], [2, 5], [6, 6], [18, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 1], [4, 7]], 223/905969664],
[[[1, 2], [2, 7], [3, 1], [6, 7]], 545/3981312],
[[[1, 2], [2, 7], [3, 2], [4, 6]], 1/16777216],
[[[1, 2], [2, 7], [3, 2], [6, 6]], 1361/3981312],
[[[1, 2], [2, 7], [3, 3], [6, 5]], 1/49152],
[[[1, 2], [2, 7], [3, 4], [6, 4]], 5/663552],
[[[1, 2], [2, 7], [4, 1], [6, 7]], 11/884736],
[[[1, 2], [2, 7], [4, 2], [6, 6]], 7/1769472],
[[[1, 2], [2, 7], [4, 2], [8, 3]], 3613/47185920],
[[[1, 2], [2, 7], [4, 4], [6, 4]], 1/3538944],
[[[1, 2], [2, 7], [4, 4], [8, 2]], 46241/566231040],
[[[1, 2], [2, 7], [4, 4], [12, 2]], 71/6635520],
[[[1, 2], [2, 7], [4, 5], [6, 3]], 1/589824],
[[[1, 2], [2, 7], [4, 6], [5, 1]], 73/41943040],
[[[1, 2], [2, 7], [4, 6], [6, 2]], 3443/452984832],
[[[1, 2], [2, 7], [4, 6], [8, 1]], 208387/9059696640],
[[[1, 2], [2, 7], [4, 6], [10, 1]], 4241/377487360],
[[[1, 2], [2, 7], [4, 6], [12, 1]], 7837/212336640],
[[[1, 2], [2, 7], [4, 7], [6, 1]], 1697/301989888],
[[[1, 2], [2, 7], [5, 1], [6, 6]], 1/138240],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 461/1327104],
[[[1, 2], [2, 7], [6, 6], [8, 1]], 1/73728],
[[[1, 2], [2, 7], [6, 6], [12, 1]], 1/221184],
[[[1, 2], [2, 7], [8, 2], [24, 1]], 1/368640],
[[[1, 2], [2, 9], [3, 1], [4, 6]], 7129/27179089920],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 4487/63700992],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 1487/42467328],
[[[1, 2], [2, 9], [3, 3], [6, 4]], 13/21233664],
[[[1, 2], [2, 9], [3, 4], [6, 3]], 1/21233664],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 13/884736],
[[[1, 2], [2, 9], [4, 1], [8, 3]], 143/94371840],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 1/1990656],
[[[1, 2], [2, 9], [4, 3], [6, 4]], 11/2654208],
[[[1, 2], [2, 9], [4, 3], [8, 2]], 7/983040],
[[[1, 2], [2, 9], [4, 4], [6, 3]], 953/169869312],
[[[1, 2], [2, 9], [4, 5], [6, 2]], 269/75497472],
[[[1, 2], [2, 9], [4, 5], [8, 1]], 319361/72477573120],
[[[1, 2], [2, 9], [4, 5], [10, 1]], 3/4194304],
[[[1, 2], [2, 9], [4, 5], [12, 1]], 7/2949120],
[[[1, 2], [2, 9], [4, 6], [6, 1]], 7037/1509949440],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 19/663552],
[[[1, 2], [2, 9], [6, 5], [12, 1]], 13/7077888],
[[[1, 2], [2, 11], [3, 1], [4, 5]], 1/268435456],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 293/71663616],
[[[1, 2], [2, 11], [3, 2], [4, 4]], 1/10871635968],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 941/2866544640],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 7/1990656],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 151/21233664],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 71/566231040],
[[[1, 2], [2, 11], [4, 3], [6, 3]], 35/5308416],
[[[1, 2], [2, 11], [4, 4], [5, 1]], 1/3019898880],
[[[1, 2], [2, 11], [4, 4], [6, 2]], 71273/18119393280],
[[[1, 2], [2, 11], [4, 4], [8, 1]], 2633/8053063680],
[[[1, 2], [2, 11], [4, 4], [10, 1]], 373/1006632960],
[[[1, 2], [2, 11], [4, 4], [12, 1]], 17/212336640],
[[[1, 2], [2, 11], [4, 5], [6, 1]], 6869/12079595520],
[[[1, 2], [2, 11], [5, 1], [6, 4]], 1/2488320],
[[[1, 2], [2, 11], [6, 4], [8, 1]], 1/1327104],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 1/829440],
[[[1, 2], [2, 13], [3, 1], [4, 4]], 407/217432719360],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 107/71663616],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 1/71663616],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 17/3538944],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 37243/10192158720],
[[[1, 2], [2, 13], [4, 3], [6, 2]], 5849/4529848320],
[[[1, 2], [2, 13], [4, 3], [8, 1]], 487/28991029248],
[[[1, 2], [2, 13], [4, 3], [10, 1]], 9/83886080],
[[[1, 2], [2, 13], [4, 4], [6, 1]], 4289/18119393280],
[[[1, 2], [2, 13], [5, 1], [6, 3]], 1/19906560],
[[[1, 2], [2, 13], [6, 3], [8, 1]], 5/10616832],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 19/6635520],
[[[1, 2], [2, 15], [3, 1], [4, 3]], 13/43486543872],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 739/5733089280],
[[[1, 2], [2, 15], [3, 2], [4, 2]], 1/195689447424],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 1/1528823808],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 1241/1274019840],
[[[1, 2], [2, 15], [4, 2], [5, 1]], 1/54358179840],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 103859/326149079040],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 91/28991029248],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 83/3623878656],
[[[1, 2], [2, 15], [4, 3], [6, 1]], 2497/43486543872],
[[[1, 2], [2, 15], [5, 1], [6, 2]], 1/424673280],
[[[1, 2], [2, 15], [6, 2], [8, 1]], 1/25165824],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 17/28311552],
[[[1, 2], [2, 17], [3, 1], [4, 2]], 71/1304596316160],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 1499/366917713920],
[[[1, 2], [2, 17], [3, 1], [10, 1]], 1/20384317440],
[[[1, 2], [2, 17], [3, 2], [6, 1]], 1/73383542784],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 1901/32614907904],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 457/1391569403904],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 13/3019898880],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 2107/217432719360],
[[[1, 2], [2, 17], [5, 1], [6, 1]], 1/20384317440],
[[[1, 2], [2, 17], [6, 1], [8, 1]], 13/10871635968],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 199/6794772480],
[[[1, 2], [2, 19], [3, 1], [4, 1]], 17/2087354105856],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 1133/23482733690880],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 4727/3478923509760],
[[[1, 3], [2, 2], [3, 1], [4, 9]], 17/100663296],
[[[1, 3], [2, 2], [3, 2], [4, 8]], 121/1358954496],
[[[1, 3], [2, 2], [3, 2], [8, 4]], 1/196608],
[[[1, 3], [2, 2], [4, 2], [8, 4]], 2473/3145728],
[[[1, 3], [2, 2], [4, 2], [16, 2]], 23/32768],
[[[1, 3], [2, 2], [4, 4], [8, 3]], 2497/4718592],
[[[1, 3], [2, 2], [4, 6], [8, 2]], 529/6291456],
[[[1, 3], [2, 2], [4, 6], [12, 2]], 5/49152],
[[[1, 3], [2, 2], [4, 8], [5, 1]], 19/125829120],
[[[1, 3], [2, 2], [4, 8], [6, 2]], 83/1358954496],
[[[1, 3], [2, 2], [4, 8], [8, 1]], 12563/1811939328],
[[[1, 3], [2, 2], [4, 8], [10, 1]], 19/377487360],
[[[1, 3], [2, 2], [4, 8], [12, 1]], 5/786432],
[[[1, 3], [2, 2], [4, 9], [6, 1]], 17/100663296],
[[[1, 3], [2, 2], [5, 1], [8, 4]], 37/491520],
[[[1, 3], [2, 2], [5, 1], [16, 2]], 1/2560],
[[[1, 3], [2, 2], [6, 2], [8, 4]], 1/589824],
[[[1, 3], [2, 2], [8, 1], [16, 2]], 3/8192],
[[[1, 3], [2, 2], [8, 3], [24, 1]], 1/1024],
[[[1, 3], [2, 2], [8, 4], [10, 1]], 31/491520],
[[[1, 3], [2, 2], [10, 1], [16, 2]], 1/2560],
[[[1, 3], [2, 4], [3, 1], [4, 8]], 26689/5435817984],
[[[1, 3], [2, 4], [3, 1], [8, 4]], 457/7077888],
[[[1, 3], [2, 4], [3, 1], [16, 2]], 7/36864],
[[[1, 3], [2, 4], [3, 2], [4, 7]], 335/169869312],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 223/995328],
[[[1, 3], [2, 4], [3, 5], [6, 4]], 223/995328],
[[[1, 3], [2, 4], [4, 1], [8, 4]], 11371/14155776],
[[[1, 3], [2, 4], [4, 1], [16, 2]], 71/147456],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 11491/4718592],
[[[1, 3], [2, 4], [4, 5], [8, 2]], 27707/28311552],
[[[1, 3], [2, 4], [4, 5], [12, 2]], 13/36864],
[[[1, 3], [2, 4], [4, 6], [6, 3]], 17/42467328],
[[[1, 3], [2, 4], [4, 7], [5, 1]], 13/5242880],
[[[1, 3], [2, 4], [4, 7], [6, 2]], 557/169869312],
[[[1, 3], [2, 4], [4, 7], [8, 1]], 169829/1811939328],
[[[1, 3], [2, 4], [4, 7], [10, 1]], 77/15728640],
[[[1, 3], [2, 4], [4, 7], [12, 1]], 247/2359296],
[[[1, 3], [2, 4], [4, 8], [6, 1]], 7139/1358954496],
[[[1, 3], [2, 4], [6, 1], [8, 4]], 23/294912],
[[[1, 3], [2, 4], [6, 1], [16, 2]], 1/4096],
[[[1, 3], [2, 6], [3, 1], [4, 7]], 39863/2717908992],
[[[1, 3], [2, 6], [3, 1], [6, 7]], 5/442368],
[[[1, 3], [2, 6], [3, 2], [4, 6]], 799/1358954496],
[[[1, 3], [2, 6], [3, 2], [6, 6]], 2987/3981312],
[[[1, 3], [2, 6], [3, 2], [8, 3]], 5/884736],
[[[1, 3], [2, 6], [3, 3], [4, 5]], 1/15925248],
[[[1, 3], [2, 6], [3, 3], [6, 5]], 4475/3981312],
[[[1, 3], [2, 6], [3, 4], [6, 4]], 73/1327104],
[[[1, 3], [2, 6], [3, 5], [6, 3]], 5/663552],
[[[1, 3], [2, 6], [3, 5], [9, 1]], 1/19906560],
[[[1, 3], [2, 6], [4, 1], [6, 7]], 7/5308416],
[[[1, 3], [2, 6], [4, 2], [6, 6]], 1/589824],
[[[1, 3], [2, 6], [4, 2], [8, 3]], 13621/15728640],
[[[1, 3], [2, 6], [4, 4], [6, 4]], 1/10616832],
[[[1, 3], [2, 6], [4, 4], [8, 2]], 148471/188743680],
[[[1, 3], [2, 6], [4, 4], [12, 2]], 457/6635520],
[[[1, 3], [2, 6], [4, 5], [6, 3]], 1/147456],
[[[1, 3], [2, 6], [4, 6], [5, 1]], 1141/125829120],
[[[1, 3], [2, 6], [4, 6], [6, 2]], 10301/452984832],
[[[1, 3], [2, 6], [4, 6], [8, 1]], 167573/1006632960],
[[[1, 3], [2, 6], [4, 6], [10, 1]], 2819/75497472],
[[[1, 3], [2, 6], [4, 6], [12, 1]], 41729/212336640],
[[[1, 3], [2, 6], [4, 7], [6, 1]], 67763/2717908992],
[[[1, 3], [2, 6], [5, 1], [6, 6]], 1/46080],
[[[1, 3], [2, 6], [5, 1], [8, 3]], 1/245760],
[[[1, 3], [2, 6], [6, 2], [8, 3]], 1/98304],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 53/331776],
[[[1, 3], [2, 6], [8, 2], [24, 1]], 7/122880],
[[[1, 3], [2, 6], [8, 3], [10, 1]], 1/245760],
[[[1, 3], [2, 8], [3, 1], [4, 6]], 95297/27179089920],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 737/4718592],
[[[1, 3], [2, 8], [3, 1], [8, 3]], 43/35389440],
[[[1, 3], [2, 8], [3, 2], [4, 5]], 8209/10192158720],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 2275/7962624],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 2731/42467328],
[[[1, 3], [2, 8], [3, 4], [6, 3]], 5/3538944],
[[[1, 3], [2, 8], [3, 5], [6, 2]], 1/21233664],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 61/2654208],
[[[1, 3], [2, 8], [4, 1], [8, 3]], 289/11796480],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 1/5971968],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 11/2654208],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 26153/141557760],
[[[1, 3], [2, 8], [4, 3], [12, 2]], 1/1327104],
[[[1, 3], [2, 8], [4, 4], [6, 3]], 2455/169869312],
[[[1, 3], [2, 8], [4, 5], [5, 1]], 2819/566231040],
[[[1, 3], [2, 8], [4, 5], [6, 2]], 35401/1132462080],
[[[1, 3], [2, 8], [4, 5], [8, 1]], 6744467/72477573120],
[[[1, 3], [2, 8], [4, 5], [10, 1]], 19163/566231040],
[[[1, 3], [2, 8], [4, 5], [12, 1]], 11419/212336640],
[[[1, 3], [2, 8], [4, 6], [6, 1]], 9031/301989888],
[[[1, 3], [2, 8], [6, 1], [8, 3]], 7/3932160],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 59/663552],
[[[1, 3], [2, 8], [6, 5], [12, 1]], 5/1769472],
[[[1, 3], [2, 10], [3, 1], [4, 5]], 281051/326149079040],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 101/5971968],
[[[1, 3], [2, 10], [3, 2], [4, 4]], 1/402653184],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 3133/318504960],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 1/2654208],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 7/1990656],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 3401/191102976],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 3803/566231040],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 883/31850496],
[[[1, 3], [2, 10], [4, 4], [5, 1]], 3/335544320],
[[[1, 3], [2, 10], [4, 4], [6, 2]], 426251/18119393280],
[[[1, 3], [2, 10], [4, 4], [8, 1]], 222943/24159191040],
[[[1, 3], [2, 10], [4, 4], [10, 1]], 14029/3019898880],
[[[1, 3], [2, 10], [4, 4], [12, 1]], 437/212336640],
[[[1, 3], [2, 10], [4, 5], [6, 1]], 507467/36238786560],
[[[1, 3], [2, 10], [5, 1], [6, 4]], 1/829440],
[[[1, 3], [2, 10], [6, 4], [8, 1]], 1/1327104],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 1/2488320],
[[[1, 3], [2, 12], [3, 1], [4, 4]], 247/4831838208],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 163/23887872],
[[[1, 3], [2, 12], [3, 2], [4, 3]], 5/2717908992],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 11/23887872],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 1367/95551488],
[[[1, 3], [2, 12], [4, 1], [8, 2]], 1/94371840],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 730403/30576476160],
[[[1, 3], [2, 12], [4, 3], [5, 1]], 1/251658240],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 192247/13589544960],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 218111/434865438720],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 133/83886080],
[[[1, 3], [2, 12], [4, 3], [12, 1]], 1/35389440],
[[[1, 3], [2, 12], [4, 4], [6, 1]], 757/212336640],
[[[1, 3], [2, 12], [5, 1], [6, 3]], 1/1327104],
[[[1, 3], [2, 12], [6, 3], [8, 1]], 19/10616832],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 103/19906560],
[[[1, 3], [2, 14], [3, 1], [4, 3]], 2599/217432719360],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 29/19906560],
[[[1, 3], [2, 14], [3, 2], [4, 2]], 13/65229815808],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 13/509607936],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 25813/3822059520],
[[[1, 3], [2, 14], [4, 2], [5, 1]], 13/18119393280],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 4343999/978447237120],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 1609/28991029248],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 22123/54358179840],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 216331/217432719360],
[[[1, 3], [2, 14], [5, 1], [6, 2]], 1/15728640],
[[[1, 3], [2, 14], [6, 2], [8, 1]], 85/226492416],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 1069/424673280],
[[[1, 3], [2, 16], [3, 1], [4, 2]], 2807/1304596316160],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 1891/24461180928],
[[[1, 3], [2, 16], [3, 1], [8, 1]], 1/32614907904],
[[[1, 3], [2, 16], [3, 1], [10, 1]], 13/6794772480],
[[[1, 3], [2, 16], [3, 2], [4, 1]], 5/97844723712],
[[[1, 3], [2, 16], [3, 2], [6, 1]], 5/8153726976],
[[[1, 3], [2, 16], [4, 1], [5, 1]], 1/9059696640],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 13087/18119393280],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 23737/4174708211712],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 199/3019898880],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 395881/1956894474240],
[[[1, 3], [2, 16], [5, 1], [6, 1]], 13/6794772480],
[[[1, 3], [2, 16], [6, 1], [8, 1]], 199/10871635968],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 4627/20384317440],
[[[1, 3], [2, 18], [3, 1], [4, 1]], 6839/31310311587840],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 10807/7827577896960],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 155611/6262062317568],
[[[1, 3], [3, 1], [4, 2], [8, 4]], 7/294912],
[[[1, 3], [3, 1], [4, 2], [16, 2]], 1/6144],
[[[1, 3], [3, 1], [4, 4], [12, 3]], 1/49152],
[[[1, 3], [3, 1], [4, 6], [8, 2]], 1/1179648],
[[[1, 3], [3, 3], [4, 2], [12, 3]], 1/13824],
[[[1, 3], [3, 3], [4, 4], [12, 2]], 1/294912],
[[[1, 3], [3, 5], [4, 2], [12, 2]], 1/82944],
[[[1, 3], [4, 1], [8, 1], [16, 2]], 1/8192],
[[[1, 3], [4, 1], [8, 3], [24, 1]], 1/3072],
[[[1, 3], [4, 3], [8, 3], [12, 1]], 1/16384],
[[[1, 3], [4, 5], [8, 1], [12, 2]], 1/12288],
[[[1, 3], [4, 7], [8, 1], [12, 1]], 1/196608],
[[[1, 4], [2, 1], [3, 1], [4, 9]], 17/301989888],
[[[1, 4], [2, 1], [3, 2], [4, 8]], 19/452984832],
[[[1, 4], [2, 1], [3, 2], [8, 4]], 1/196608],
[[[1, 4], [2, 1], [4, 2], [8, 4]], 4619/18874368],
[[[1, 4], [2, 1], [4, 2], [16, 2]], 13/196608],
[[[1, 4], [2, 1], [4, 4], [8, 3]], 127/4718592],
[[[1, 4], [2, 1], [4, 6], [8, 2]], 391/37748736],
[[[1, 4], [2, 1], [4, 6], [12, 2]], 5/98304],
[[[1, 4], [2, 1], [4, 8], [5, 1]], 19/125829120],
[[[1, 4], [2, 1], [4, 8], [8, 1]], 4145/1811939328],
[[[1, 4], [2, 1], [4, 8], [12, 1]], 5/1572864],
[[[1, 4], [2, 1], [4, 9], [6, 1]], 17/301989888],
[[[1, 4], [2, 1], [5, 1], [8, 4]], 3/163840],
[[[1, 4], [2, 1], [8, 1], [16, 2]], 1/8192],
[[[1, 4], [2, 1], [8, 3], [24, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 8]], 7139/1358954496],
[[[1, 4], [2, 3], [3, 1], [8, 4]], 23/294912],
[[[1, 4], [2, 3], [3, 1], [16, 2]], 1/4096],
[[[1, 4], [2, 3], [3, 2], [4, 7]], 557/169869312],
[[[1, 4], [2, 3], [3, 3], [4, 6]], 17/42467328],
[[[1, 4], [2, 3], [3, 4], [6, 5]], 223/995328],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 223/995328],
[[[1, 4], [2, 3], [4, 1], [8, 4]], 11371/14155776],
[[[1, 4], [2, 3], [4, 1], [16, 2]], 71/147456],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 11491/4718592],
[[[1, 4], [2, 3], [4, 5], [8, 2]], 27707/28311552],
[[[1, 4], [2, 3], [4, 5], [12, 2]], 13/36864],
[[[1, 4], [2, 3], [4, 7], [5, 1]], 77/15728640],
[[[1, 4], [2, 3], [4, 7], [6, 2]], 335/169869312],
[[[1, 4], [2, 3], [4, 7], [8, 1]], 169829/1811939328],
[[[1, 4], [2, 3], [4, 7], [10, 1]], 13/5242880],
[[[1, 4], [2, 3], [4, 7], [12, 1]], 247/2359296],
[[[1, 4], [2, 3], [4, 8], [6, 1]], 26689/5435817984],
[[[1, 4], [2, 3], [6, 1], [8, 4]], 457/7077888],
[[[1, 4], [2, 3], [6, 1], [16, 2]], 7/36864],
[[[1, 4], [2, 5], [3, 1], [4, 7]], 126833/2717908992],
[[[1, 4], [2, 5], [3, 1], [6, 7]], 1/3981312],
[[[1, 4], [2, 5], [3, 2], [4, 6]], 26813/1358954496],
[[[1, 4], [2, 5], [3, 2], [6, 6]], 7/165888],
[[[1, 4], [2, 5], [3, 2], [8, 3]], 23/884736],
[[[1, 4], [2, 5], [3, 3], [4, 5]], 7/15925248],
[[[1, 4], [2, 5], [3, 3], [6, 5]], 2165/1327104],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 271/147456],
[[[1, 4], [2, 5], [3, 5], [6, 3]], 5/73728],
[[[1, 4], [2, 5], [3, 5], [9, 1]], 1/663552],
[[[1, 4], [2, 5], [3, 6], [6, 2]], 13/3981312],
[[[1, 4], [2, 5], [4, 2], [8, 3]], 122099/47185920],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 333091/113246208],
[[[1, 4], [2, 5], [4, 4], [12, 2]], 899/5308416],
[[[1, 4], [2, 5], [4, 5], [6, 3]], 1/165888],
[[[1, 4], [2, 5], [4, 6], [5, 1]], 10529/377487360],
[[[1, 4], [2, 5], [4, 6], [6, 2]], 46891/1358954496],
[[[1, 4], [2, 5], [4, 6], [8, 1]], 6630499/9059696640],
[[[1, 4], [2, 5], [4, 6], [10, 1]], 1959/41943040],
[[[1, 4], [2, 5], [4, 6], [12, 1]], 19795/42467328],
[[[1, 4], [2, 5], [4, 7], [6, 1]], 142781/2717908992],
[[[1, 4], [2, 5], [5, 1], [8, 3]], 7/245760],
[[[1, 4], [2, 5], [6, 2], [8, 3]], 1/32768],
[[[1, 4], [2, 5], [6, 5], [18, 1]], 13/1327104],
[[[1, 4], [2, 5], [8, 2], [24, 1]], 25/110592],
[[[1, 4], [2, 5], [8, 3], [10, 1]], 7/245760],
[[[1, 4], [2, 7], [3, 1], [4, 6]], 751061/13589544960],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 2419/31850496],
[[[1, 4], [2, 7], [3, 1], [8, 3]], 463/35389440],
[[[1, 4], [2, 7], [3, 2], [4, 5]], 82399/10192158720],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 7537/14155776],
[[[1, 4], [2, 7], [3, 3], [4, 4]], 419/509607936],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 59/110592],
[[[1, 4], [2, 7], [3, 3], [8, 2]], 1/1327104],
[[[1, 4], [2, 7], [3, 4], [6, 3]], 12941/212336640],
[[[1, 4], [2, 7], [3, 4], [9, 1]], 1/3317760],
[[[1, 4], [2, 7], [3, 5], [6, 2]], 5/3538944],
[[[1, 4], [2, 7], [3, 6], [6, 1]], 13/637009920],
[[[1, 4], [2, 7], [4, 1], [6, 6]], 7/884736],
[[[1, 4], [2, 7], [4, 1], [8, 3]], 12547/70778880],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 11/7962624],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 186149/141557760],
[[[1, 4], [2, 7], [4, 3], [12, 2]], 13/1327104],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 4699/169869312],
[[[1, 4], [2, 7], [4, 5], [5, 1]], 3385/113246208],
[[[1, 4], [2, 7], [4, 5], [6, 2]], 33517/377487360],
[[[1, 4], [2, 7], [4, 5], [8, 1]], 63960797/108716359680],
[[[1, 4], [2, 7], [4, 5], [10, 1]], 63797/566231040],
[[[1, 4], [2, 7], [4, 5], [12, 1]], 60703/212336640],
[[[1, 4], [2, 7], [4, 6], [6, 1]], 829211/6794772480],
[[[1, 4], [2, 7], [6, 1], [8, 3]], 67/3932160],
[[[1, 4], [2, 7], [6, 3], [8, 2]], 1/442368],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 73/663552],
[[[1, 4], [2, 7], [6, 5], [12, 1]], 13/7077888],
[[[1, 4], [2, 9], [3, 1], [4, 5]], 3889361/326149079040],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 331/7962624],
[[[1, 4], [2, 9], [3, 2], [4, 4]], 361801/163074539520],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 517/7077888],
[[[1, 4], [2, 9], [3, 2], [8, 2]], 23/106168320],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 869/71663616],
[[[1, 4], [2, 9], [3, 4], [6, 2]], 103/318504960],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 7/5971968],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 121/7077888],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 16277/188743680],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 1705/31850496],
[[[1, 4], [2, 9], [4, 4], [5, 1]], 62621/9059696640],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 2457397/27179089920],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 3432013/24159191040],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 271867/4529848320],
[[[1, 4], [2, 9], [4, 4], [12, 1]], 2723/70778880],
[[[1, 4], [2, 9], [4, 5], [6, 1]], 3074321/36238786560],
[[[1, 4], [2, 9], [5, 1], [6, 4]], 1/829440],
[[[1, 4], [2, 9], [5, 1], [8, 2]], 1/5898240],
[[[1, 4], [2, 9], [6, 2], [8, 2]], 31/35389440],
[[[1, 4], [2, 9], [6, 4], [8, 1]], 1/3981312],
[[[1, 4], [2, 9], [8, 2], [10, 1]], 7/5898240],
[[[1, 4], [2, 11], [3, 1], [4, 4]], 148007/81537269760],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 1037/71663616],
[[[1, 4], [2, 11], [3, 1], [8, 2]], 1/53084160],
[[[1, 4], [2, 11], [3, 2], [4, 3]], 5/100663296],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 97/11943936],
[[[1, 4], [2, 11], [3, 3], [4, 2]], 1/2038431744],
[[[1, 4], [2, 11], [3, 3], [6, 2]], 1/23887872],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 1969/95551488],
[[[1, 4], [2, 11], [4, 1], [8, 2]], 199/283115520],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 63761/1019215872],
[[[1, 4], [2, 11], [4, 3], [5, 1]], 9/83886080],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 915029/13589544960],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 1392887/144955146240],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 3229/251658240],
[[[1, 4], [2, 11], [4, 3], [12, 1]], 91/106168320],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 7167497/217432719360],
[[[1, 4], [2, 11], [5, 1], [6, 3]], 19/6635520],
[[[1, 4], [2, 11], [6, 1], [8, 2]], 1/8847360],
[[[1, 4], [2, 11], [6, 3], [8, 1]], 103/31850496],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 103/19906560],
[[[1, 4], [2, 13], [3, 1], [4, 3]], 31519/130459631616],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 41357/5733089280],
[[[1, 4], [2, 13], [3, 2], [4, 2]], 3703/326149079040],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 281/637009920],
[[[1, 4], [2, 13], [3, 2], [10, 1]], 1/424673280],
[[[1, 4], [2, 13], [3, 3], [6, 1]], 1/764411904],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 84511/3822059520],
[[[1, 4], [2, 13], [4, 2], [5, 1]], 83/3623878656],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 2832401/108716359680],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 277073/434865438720],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 61843/18119393280],
[[[1, 4], [2, 13], [4, 2], [12, 1]], 1/424673280],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 6462263/652298158080],
[[[1, 4], [2, 13], [5, 1], [6, 2]], 17/28311552],
[[[1, 4], [2, 13], [6, 2], [8, 1]], 1069/679477248],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 1273/212336640],
[[[1, 4], [2, 15], [3, 1], [4, 2]], 78823/1956894474240],
[[[1, 4], [2, 15], [3, 1], [5, 1]], 1/20384317440],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 88241/122305904640],
[[[1, 4], [2, 15], [3, 1], [8, 1]], 13/10871635968],
[[[1, 4], [2, 15], [3, 1], [10, 1]], 199/6794772480],
[[[1, 4], [2, 15], [3, 2], [4, 1]], 65/32614907904],
[[[1, 4], [2, 15], [3, 2], [6, 1]], 511/40768634880],
[[[1, 4], [2, 15], [4, 1], [5, 1]], 13/3019898880],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 2178931/489223618560],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 64741/1043677052928],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 4627/9059696640],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 91975/43486543872],
[[[1, 4], [2, 15], [5, 1], [6, 1]], 199/6794772480],
[[[1, 4], [2, 15], [6, 1], [8, 1]], 4627/32614907904],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 6763/6794772480],
[[[1, 4], [2, 17], [3, 1], [4, 1]], 123533/31310311587840],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 95371/4696546738176],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 7590301/31310311587840],
[[[1, 5], [2, 2], [3, 1], [4, 8]], 371/169869312],
[[[1, 5], [2, 2], [3, 1], [8, 4]], 19/589824],
[[[1, 5], [2, 2], [3, 1], [16, 2]], 1/12288],
[[[1, 5], [2, 2], [3, 2], [4, 7]], 37/18874368],
[[[1, 5], [2, 2], [3, 3], [4, 6]], 19/42467328],
[[[1, 5], [2, 2], [3, 5], [6, 4]], 109/995328],
[[[1, 5], [2, 2], [3, 6], [9, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 7], [4, 2]], 1/3538944],
[[[1, 5], [2, 2], [3, 7], [6, 2]], 109/995328],
[[[1, 5], [2, 2], [3, 7], [10, 1]], 1/276480],
[[[1, 5], [2, 2], [4, 1], [8, 4]], 12707/47185920],
[[[1, 5], [2, 2], [4, 1], [16, 2]], 43/491520],
[[[1, 5], [2, 2], [4, 3], [8, 3]], 2983/4718592],
[[[1, 5], [2, 2], [4, 5], [8, 2]], 14323/94371840],
[[[1, 5], [2, 2], [4, 5], [12, 2]], 1/6144],
[[[1, 5], [2, 2], [4, 7], [5, 1]], 67/15728640],
[[[1, 5], [2, 2], [4, 7], [8, 1]], 47291/1811939328],
[[[1, 5], [2, 2], [4, 7], [10, 1]], 1/1572864],
[[[1, 5], [2, 2], [4, 7], [12, 1]], 27/524288],
[[[1, 5], [2, 2], [4, 8], [6, 1]], 8557/5435817984],
[[[1, 5], [2, 2], [6, 1], [8, 4]], 109/7077888],
[[[1, 5], [2, 2], [6, 1], [16, 2]], 1/36864],
[[[1, 5], [2, 4], [3, 1], [4, 7]], 142781/2717908992],
[[[1, 5], [2, 4], [3, 2], [4, 6]], 46891/1358954496],
[[[1, 5], [2, 4], [3, 2], [6, 6]], 13/3981312],
[[[1, 5], [2, 4], [3, 2], [8, 3]], 1/32768],
[[[1, 5], [2, 4], [3, 3], [4, 5]], 1/165888],
[[[1, 5], [2, 4], [3, 3], [6, 5]], 5/73728],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 271/147456],
[[[1, 5], [2, 4], [3, 5], [6, 3]], 2165/1327104],
[[[1, 5], [2, 4], [3, 5], [9, 1]], 13/1327104],
[[[1, 5], [2, 4], [3, 6], [6, 2]], 7/165888],
[[[1, 5], [2, 4], [3, 7], [6, 1]], 1/3981312],
[[[1, 5], [2, 4], [4, 2], [8, 3]], 122099/47185920],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 333091/113246208],
[[[1, 5], [2, 4], [4, 4], [12, 2]], 899/5308416],
[[[1, 5], [2, 4], [4, 5], [6, 3]], 7/15925248],
[[[1, 5], [2, 4], [4, 6], [5, 1]], 1959/41943040],
[[[1, 5], [2, 4], [4, 6], [6, 2]], 26813/1358954496],
[[[1, 5], [2, 4], [4, 6], [8, 1]], 6630499/9059696640],
[[[1, 5], [2, 4], [4, 6], [10, 1]], 10529/377487360],
[[[1, 5], [2, 4], [4, 6], [12, 1]], 19795/42467328],
[[[1, 5], [2, 4], [4, 7], [6, 1]], 126833/2717908992],
[[[1, 5], [2, 4], [5, 1], [8, 3]], 7/245760],
[[[1, 5], [2, 4], [6, 2], [8, 3]], 23/884736],
[[[1, 5], [2, 4], [6, 5], [18, 1]], 1/663552],
[[[1, 5], [2, 4], [8, 2], [24, 1]], 25/110592],
[[[1, 5], [2, 4], [8, 3], [10, 1]], 7/245760],
[[[1, 5], [2, 6], [3, 1], [4, 6]], 2372827/13589544960],
[[[1, 5], [2, 6], [3, 1], [6, 6]], 233/42467328],
[[[1, 5], [2, 6], [3, 1], [8, 3]], 143/3538944],
[[[1, 5], [2, 6], [3, 2], [4, 5]], 49643/679477248],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 18983/63700992],
[[[1, 5], [2, 6], [3, 3], [4, 4]], 2957/509607936],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 39023/42467328],
[[[1, 5], [2, 6], [3, 3], [8, 2]], 7/1327104],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 3827/7077888],
[[[1, 5], [2, 6], [3, 4], [9, 1]], 91/9953280],
[[[1, 5], [2, 6], [3, 5], [6, 2]], 6217/212336640],
[[[1, 5], [2, 6], [3, 5], [12, 1]], 1/106168320],
[[[1, 5], [2, 6], [3, 6], [6, 1]], 13/21233664],
[[[1, 5], [2, 6], [4, 1], [8, 3]], 65891/141557760],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 64397/17694720],
[[[1, 5], [2, 6], [4, 3], [12, 2]], 25/663552],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 3965/169869312],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 70531/566231040],
[[[1, 5], [2, 6], [4, 5], [6, 2]], 28607/226492416],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 41384419/21743271936],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 101437/566231040],
[[[1, 5], [2, 6], [4, 5], [12, 1]], 71083/106168320],
[[[1, 5], [2, 6], [4, 6], [6, 1]], 186299/849346560],
[[[1, 5], [2, 6], [6, 1], [8, 3]], 155/3538944],
[[[1, 5], [2, 6], [6, 3], [8, 2]], 1/147456],
[[[1, 5], [2, 6], [6, 4], [18, 1]], 41/663552],
[[[1, 5], [2, 6], [6, 5], [12, 1]], 1/3538944],
[[[1, 5], [2, 8], [3, 1], [4, 5]], 19155373/163074539520],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 1717/35831808],
[[[1, 5], [2, 8], [3, 2], [4, 4]], 3854779/163074539520],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 99973/573308928],
[[[1, 5], [2, 8], [3, 2], [8, 2]], 323/106168320],
[[[1, 5], [2, 8], [3, 3], [4, 3]], 7/3538944],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 3881/23887872],
[[[1, 5], [2, 8], [3, 4], [6, 2]], 13/1310720],
[[[1, 5], [2, 8], [3, 5], [6, 1]], 1/7962624],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 379/63700992],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 269899/566231040],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 85/1327104],
[[[1, 5], [2, 8], [4, 4], [5, 1]], 443879/9059696640],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 1791949/9059696640],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 87229649/108716359680],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 166757/905969664],
[[[1, 5], [2, 8], [4, 4], [12, 1]], 8801/42467328],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 15321383/54358179840],
[[[1, 5], [2, 8], [5, 1], [6, 4]], 1/2488320],
[[[1, 5], [2, 8], [5, 1], [8, 2]], 13/5898240],
[[[1, 5], [2, 8], [6, 2], [8, 2]], 77/11796480],
[[[1, 5], [2, 8], [8, 2], [10, 1]], 31/5898240],
[[[1, 5], [2, 10], [3, 1], [4, 4]], 3651667/163074539520],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 1199/71663616],
[[[1, 5], [2, 10], [3, 1], [8, 2]], 11/26542080],
[[[1, 5], [2, 10], [3, 2], [4, 3]], 45599/13589544960],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 1673/35831808],
[[[1, 5], [2, 10], [3, 3], [4, 2]], 1/75497472],
[[[1, 5], [2, 10], [3, 3], [6, 2]], 7/7962624],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 1571/95551488],
[[[1, 5], [2, 10], [4, 1], [8, 2]], 9887/849346560],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 28265/339738624],
[[[1, 5], [2, 10], [4, 3], [5, 1]], 937/150994944],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 25621/150994944],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 1052159/9663676416],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 25171/377487360],
[[[1, 5], [2, 10], [4, 3], [12, 1]], 7471/637009920],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 11148887/72477573120],
[[[1, 5], [2, 10], [5, 1], [6, 3]], 103/19906560],
[[[1, 5], [2, 10], [6, 1], [8, 2]], 1/737280],
[[[1, 5], [2, 10], [6, 3], [8, 1]], 103/31850496],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 19/6635520],
[[[1, 5], [2, 12], [3, 1], [4, 3]], 700511/217432719360],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 223853/11466178560],
[[[1, 5], [2, 12], [3, 2], [4, 2]], 48799/195689447424],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 7889/1911029760],
[[[1, 5], [2, 12], [3, 2], [8, 1]], 1/679477248],
[[[1, 5], [2, 12], [3, 2], [10, 1]], 1/15728640],
[[[1, 5], [2, 12], [3, 3], [4, 1]], 1/254803968],
[[[1, 5], [2, 12], [3, 3], [6, 1]], 5/127401984],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 15847/382205952],
[[[1, 5], [2, 12], [4, 2], [5, 1]], 22123/54358179840],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 8483183/108716359680],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 98401/16106127360],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 27757/2013265920],
[[[1, 5], [2, 12], [4, 2], [12, 1]], 11/141557760],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 3786497/72477573120],
[[[1, 5], [2, 12], [5, 1], [6, 2]], 1069/424673280],
[[[1, 5], [2, 12], [6, 2], [8, 1]], 1273/339738624],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 641/70778880],
[[[1, 5], [2, 14], [3, 1], [4, 2]], 306407/652298158080],
[[[1, 5], [2, 14], [3, 1], [5, 1]], 13/6794772480],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 1360157/366917713920],
[[[1, 5], [2, 14], [3, 1], [8, 1]], 199/10871635968],
[[[1, 5], [2, 14], [3, 1], [10, 1]], 4627/20384317440],
[[[1, 5], [2, 14], [3, 2], [4, 1]], 611/18119393280],
[[[1, 5], [2, 14], [3, 2], [6, 1]], 10909/73383542784],
[[[1, 5], [2, 14], [4, 1], [5, 1]], 199/3019898880],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 2569127/163074539520],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 727241/1739461754880],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 6763/3019898880],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 7688891/652298158080],
[[[1, 5], [2, 14], [5, 1], [6, 1]], 4627/20384317440],
[[[1, 5], [2, 14], [6, 1], [8, 1]], 6763/10871635968],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 2101/754974720],
[[[1, 5], [2, 16], [3, 1], [4, 1]], 74693/1565515579392],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 1014323/5870683422720],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 11023961/7827577896960],
[[[1, 5], [3, 1], [4, 3], [8, 3]], 1/196608],
[[[1, 5], [3, 1], [4, 7], [8, 1]], 1/2097152],
[[[1, 5], [3, 2], [4, 2], [12, 3]], 1/55296],
[[[1, 5], [3, 2], [4, 4], [8, 2]], 1/3538944],
[[[1, 5], [3, 2], [4, 4], [12, 2]], 25/1327104],
[[[1, 5], [3, 2], [4, 6], [12, 1]], 1/1327104],
[[[1, 5], [3, 4], [4, 2], [12, 2]], 1/36864],
[[[1, 5], [3, 5], [4, 2], [9, 1]], 1/110592],
[[[1, 5], [3, 5], [5, 1], [9, 1]], 1/8640],
[[[1, 5], [3, 5], [6, 2], [9, 1]], 1/31104],
[[[1, 5], [3, 5], [9, 1], [12, 1]], 1/5184],
[[[1, 5], [3, 7], [4, 1], [8, 1]], 1/442368],
[[[1, 5], [4, 2], [8, 2], [24, 1]], 1/73728],
[[[1, 5], [4, 4], [5, 1], [8, 2]], 1/983040],
[[[1, 5], [4, 4], [5, 1], [12, 2]], 1/23040],
[[[1, 5], [4, 4], [8, 2], [12, 1]], 19/1179648],
[[[1, 5], [4, 6], [5, 1], [12, 1]], 1/368640],
[[[1, 6], [2, 1], [3, 1], [4, 8]], 199/603979776],
[[[1, 6], [2, 1], [3, 1], [8, 4]], 1/262144],
[[[1, 6], [2, 1], [3, 2], [4, 7]], 37/56623104],
[[[1, 6], [2, 1], [3, 3], [4, 6]], 1/14155776],
[[[1, 6], [2, 1], [3, 6], [6, 3]], 19/995328],
[[[1, 6], [2, 1], [3, 6], [9, 1]], 5/20736],
[[[1, 6], [2, 1], [3, 7], [4, 2]], 1/1769472],
[[[1, 6], [2, 1], [3, 7], [8, 1]], 1/442368],
[[[1, 6], [2, 1], [3, 8], [4, 1]], 1/663552],
[[[1, 6], [2, 1], [3, 8], [6, 1]], 19/995328],
[[[1, 6], [2, 1], [4, 1], [8, 4]], 43/5242880],
[[[1, 6], [2, 1], [4, 1], [16, 2]], 1/163840],
[[[1, 6], [2, 1], [4, 3], [8, 3]], 65/1572864],
[[[1, 6], [2, 1], [4, 5], [8, 2]], 683/94371840],
[[[1, 6], [2, 1], [4, 5], [12, 2]], 1/36864],
[[[1, 6], [2, 1], [4, 7], [5, 1]], 7/5242880],
[[[1, 6], [2, 1], [4, 7], [8, 1]], 293/201326592],
[[[1, 6], [2, 1], [4, 7], [10, 1]], 1/7864320],
[[[1, 6], [2, 1], [4, 7], [12, 1]], 47/4718592],
[[[1, 6], [2, 3], [3, 1], [4, 7]], 67763/2717908992],
[[[1, 6], [2, 3], [3, 2], [4, 6]], 10301/452984832],
[[[1, 6], [2, 3], [3, 2], [8, 3]], 1/98304],
[[[1, 6], [2, 3], [3, 3], [4, 5]], 1/147456],
[[[1, 6], [2, 3], [3, 3], [6, 5]], 5/663552],
[[[1, 6], [2, 3], [3, 4], [4, 4]], 1/10616832],
[[[1, 6], [2, 3], [3, 4], [6, 4]], 73/1327104],
[[[1, 6], [2, 3], [3, 5], [6, 3]], 4475/3981312],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 53/331776],
[[[1, 6], [2, 3], [3, 6], [4, 2]], 1/589824],
[[[1, 6], [2, 3], [3, 6], [6, 2]], 2987/3981312],
[[[1, 6], [2, 3], [3, 6], [10, 1]], 1/46080],
[[[1, 6], [2, 3], [3, 7], [4, 1]], 7/5308416],
[[[1, 6], [2, 3], [3, 7], [6, 1]], 5/442368],
[[[1, 6], [2, 3], [4, 2], [8, 3]], 13621/15728640],
[[[1, 6], [2, 3], [4, 4], [8, 2]], 148471/188743680],
[[[1, 6], [2, 3], [4, 4], [12, 2]], 457/6635520],
[[[1, 6], [2, 3], [4, 5], [6, 3]], 1/15925248],
[[[1, 6], [2, 3], [4, 6], [5, 1]], 2819/75497472],
[[[1, 6], [2, 3], [4, 6], [6, 2]], 799/1358954496],
[[[1, 6], [2, 3], [4, 6], [8, 1]], 167573/1006632960],
[[[1, 6], [2, 3], [4, 6], [10, 1]], 1141/125829120],
[[[1, 6], [2, 3], [4, 6], [12, 1]], 41729/212336640],
[[[1, 6], [2, 3], [4, 7], [6, 1]], 39863/2717908992],
[[[1, 6], [2, 3], [5, 1], [8, 3]], 1/245760],
[[[1, 6], [2, 3], [6, 2], [8, 3]], 5/884736],
[[[1, 6], [2, 3], [6, 5], [18, 1]], 1/19906560],
[[[1, 6], [2, 3], [8, 2], [24, 1]], 7/122880],
[[[1, 6], [2, 3], [8, 3], [10, 1]], 1/245760],
[[[1, 6], [2, 5], [3, 1], [4, 6]], 186299/849346560],
[[[1, 6], [2, 5], [3, 1], [6, 6]], 13/21233664],
[[[1, 6], [2, 5], [3, 1], [8, 3]], 155/3538944],
[[[1, 6], [2, 5], [3, 2], [4, 5]], 28607/226492416],
[[[1, 6], [2, 5], [3, 2], [6, 5]], 6217/212336640],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 3965/169869312],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 3827/7077888],
[[[1, 6], [2, 5], [3, 3], [8, 2]], 1/147456],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 39023/42467328],
[[[1, 6], [2, 5], [3, 4], [9, 1]], 41/663552],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 18983/63700992],
[[[1, 6], [2, 5], [3, 5], [12, 1]], 1/3538944],
[[[1, 6], [2, 5], [3, 6], [6, 1]], 233/42467328],
[[[1, 6], [2, 5], [4, 1], [8, 3]], 65891/141557760],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 64397/17694720],
[[[1, 6], [2, 5], [4, 3], [12, 2]], 25/663552],
[[[1, 6], [2, 5], [4, 4], [6, 3]], 2957/509607936],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 101437/566231040],
[[[1, 6], [2, 5], [4, 5], [6, 2]], 49643/679477248],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 41384419/21743271936],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 70531/566231040],
[[[1, 6], [2, 5], [4, 5], [12, 1]], 71083/106168320],
[[[1, 6], [2, 5], [4, 6], [6, 1]], 2372827/13589544960],
[[[1, 6], [2, 5], [6, 1], [8, 3]], 143/3538944],
[[[1, 6], [2, 5], [6, 3], [8, 2]], 7/1327104],
[[[1, 6], [2, 5], [6, 4], [18, 1]], 91/9953280],
[[[1, 6], [2, 5], [6, 5], [12, 1]], 1/106168320],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 60962143/163074539520],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 23/884736],
[[[1, 6], [2, 7], [3, 2], [4, 4]], 3843517/27179089920],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 37493/191102976],
[[[1, 6], [2, 7], [3, 2], [8, 2]], 11/884736],
[[[1, 6], [2, 7], [3, 3], [4, 3]], 155/10616832],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 32213/71663616],
[[[1, 6], [2, 7], [3, 4], [4, 2]], 1/63700992],
[[[1, 6], [2, 7], [3, 4], [6, 2]], 18797/191102976],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 19/4976640],
[[[1, 6], [2, 7], [4, 2], [6, 4]], 5/21233664],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 1227/1048576],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 719/15925248],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 857531/4529848320],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 2238373/9059696640],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 45199567/21743271936],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 249637/905969664],
[[[1, 6], [2, 7], [4, 4], [12, 1]], 8213/17694720],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 577313/1207959552],
[[[1, 6], [2, 7], [5, 1], [8, 2]], 17/1474560],
[[[1, 6], [2, 7], [6, 2], [8, 2]], 1/65536],
[[[1, 6], [2, 7], [8, 2], [10, 1]], 1/73728],
[[[1, 6], [2, 9], [3, 1], [4, 4]], 101361853/652298158080],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 407/23887872],
[[[1, 6], [2, 9], [3, 1], [8, 2]], 449/106168320],
[[[1, 6], [2, 9], [3, 2], [4, 3]], 486557/13589544960],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 95/746496],
[[[1, 6], [2, 9], [3, 3], [4, 2]], 72713/30576476160],
[[[1, 6], [2, 9], [3, 3], [6, 2]], 119/3981312],
[[[1, 6], [2, 9], [3, 3], [10, 1]], 1/19906560],
[[[1, 6], [2, 9], [3, 4], [6, 1]], 49/23887872],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 713/95551488],
[[[1, 6], [2, 9], [4, 1], [8, 2]], 60863/849346560],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 1110829/15288238080],
[[[1, 6], [2, 9], [4, 3], [5, 1]], 37367/754974720],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 366463/1358954496],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 8476979/16106127360],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 12749/75497472],
[[[1, 6], [2, 9], [4, 3], [12, 1]], 41203/637009920],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 1093339/2717908992],
[[[1, 6], [2, 9], [5, 1], [6, 3]], 103/19906560],
[[[1, 6], [2, 9], [6, 1], [8, 2]], 253/35389440],
[[[1, 6], [2, 9], [6, 3], [8, 1]], 19/10616832],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 1/1327104],
[[[1, 6], [2, 11], [3, 1], [4, 3]], 1943507/72477573120],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 11059/318504960],
[[[1, 6], [2, 11], [3, 2], [4, 2]], 419293/108716359680],
[[[1, 6], [2, 11], [3, 2], [5, 1]], 1/424673280],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 6419/283115520],
[[[1, 6], [2, 11], [3, 2], [8, 1]], 1/25165824],
[[[1, 6], [2, 11], [3, 2], [10, 1]], 17/28311552],
[[[1, 6], [2, 11], [3, 3], [4, 1]], 1/9437184],
[[[1, 6], [2, 11], [3, 3], [6, 1]], 503/477757440],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 18625/382205952],
[[[1, 6], [2, 11], [4, 2], [5, 1]], 18359/3623878656],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 47153483/326149079040],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 669527/16106127360],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 251477/6039797760],
[[[1, 6], [2, 11], [4, 2], [12, 1]], 781/637009920],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 36224141/217432719360],
[[[1, 6], [2, 11], [5, 1], [6, 2]], 1273/212336640],
[[[1, 6], [2, 11], [6, 2], [8, 1]], 641/113246208],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 641/70778880],
[[[1, 6], [2, 13], [3, 1], [4, 2]], 803207/217432719360],
[[[1, 6], [2, 13], [3, 1], [5, 1]], 199/6794772480],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 488371/40768634880],
[[[1, 6], [2, 13], [3, 1], [8, 1]], 4627/32614907904],
[[[1, 6], [2, 13], [3, 1], [10, 1]], 6763/6794772480],
[[[1, 6], [2, 13], [3, 2], [4, 1]], 32531/97844723712],
[[[1, 6], [2, 13], [3, 2], [6, 1]], 27473/24461180928],
[[[1, 6], [2, 13], [4, 1], [5, 1]], 4627/9059696640],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 5795753/163074539520],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 3421549/1739461754880],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 2101/335544320],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 5235217/130459631616],
[[[1, 6], [2, 13], [5, 1], [6, 1]], 6763/6794772480],
[[[1, 6], [2, 13], [6, 1], [8, 1]], 2101/1207959552],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 12101/2264924160],
[[[1, 6], [2, 15], [3, 1], [4, 1]], 2920859/7827577896960],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 1790627/1956894474240],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 41259611/7827577896960],
[[[1, 7], [2, 2], [3, 1], [4, 7]], 1697/301989888],
[[[1, 7], [2, 2], [3, 2], [4, 6]], 3443/452984832],
[[[1, 7], [2, 2], [3, 3], [4, 5]], 1/589824],
[[[1, 7], [2, 2], [3, 4], [4, 4]], 1/3538944],
[[[1, 7], [2, 2], [3, 4], [6, 4]], 5/663552],
[[[1, 7], [2, 2], [3, 5], [6, 3]], 1/49152],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 461/1327104],
[[[1, 7], [2, 2], [3, 6], [4, 2]], 7/1769472],
[[[1, 7], [2, 2], [3, 6], [6, 2]], 1361/3981312],
[[[1, 7], [2, 2], [3, 6], [8, 1]], 1/73728],
[[[1, 7], [2, 2], [3, 6], [10, 1]], 1/138240],
[[[1, 7], [2, 2], [3, 6], [12, 1]], 1/221184],
[[[1, 7], [2, 2], [3, 7], [4, 1]], 11/884736],
[[[1, 7], [2, 2], [3, 7], [6, 1]], 545/3981312],
[[[1, 7], [2, 2], [4, 2], [8, 3]], 3613/47185920],
[[[1, 7], [2, 2], [4, 4], [8, 2]], 46241/566231040],
[[[1, 7], [2, 2], [4, 4], [12, 2]], 71/6635520],
[[[1, 7], [2, 2], [4, 6], [5, 1]], 4241/377487360],
[[[1, 7], [2, 2], [4, 6], [6, 2]], 1/16777216],
[[[1, 7], [2, 2], [4, 6], [8, 1]], 208387/9059696640],
[[[1, 7], [2, 2], [4, 6], [10, 1]], 73/41943040],
[[[1, 7], [2, 2], [4, 6], [12, 1]], 7837/212336640],
[[[1, 7], [2, 2], [4, 7], [6, 1]], 223/905969664],
[[[1, 7], [2, 2], [8, 2], [24, 1]], 1/368640],
[[[1, 7], [2, 4], [3, 1], [4, 6]], 829211/6794772480],
[[[1, 7], [2, 4], [3, 1], [6, 6]], 13/637009920],
[[[1, 7], [2, 4], [3, 1], [8, 3]], 67/3932160],
[[[1, 7], [2, 4], [3, 2], [4, 5]], 33517/377487360],
[[[1, 7], [2, 4], [3, 2], [6, 5]], 5/3538944],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 4699/169869312],
[[[1, 7], [2, 4], [3, 3], [6, 4]], 12941/212336640],
[[[1, 7], [2, 4], [3, 3], [8, 2]], 1/442368],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 11/7962624],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 59/110592],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 73/663552],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 7537/14155776],
[[[1, 7], [2, 4], [3, 5], [12, 1]], 13/7077888],
[[[1, 7], [2, 4], [3, 6], [4, 1]], 7/884736],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 2419/31850496],
[[[1, 7], [2, 4], [4, 1], [8, 3]], 12547/70778880],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 186149/141557760],
[[[1, 7], [2, 4], [4, 3], [12, 2]], 13/1327104],
[[[1, 7], [2, 4], [4, 4], [6, 3]], 419/509607936],
[[[1, 7], [2, 4], [4, 5], [5, 1]], 63797/566231040],
[[[1, 7], [2, 4], [4, 5], [6, 2]], 82399/10192158720],
[[[1, 7], [2, 4], [4, 5], [8, 1]], 63960797/108716359680],
[[[1, 7], [2, 4], [4, 5], [10, 1]], 3385/113246208],
[[[1, 7], [2, 4], [4, 5], [12, 1]], 60703/212336640],
[[[1, 7], [2, 4], [4, 6], [6, 1]], 751061/13589544960],
[[[1, 7], [2, 4], [6, 1], [8, 3]], 463/35389440],
[[[1, 7], [2, 4], [6, 3], [8, 2]], 1/1327104],
[[[1, 7], [2, 4], [6, 4], [18, 1]], 1/3317760],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 577313/1207959552],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 19/4976640],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 2238373/9059696640],
[[[1, 7], [2, 6], [3, 2], [6, 4]], 18797/191102976],
[[[1, 7], [2, 6], [3, 2], [8, 2]], 1/65536],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 719/15925248],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 32213/71663616],
[[[1, 7], [2, 6], [3, 4], [4, 2]], 5/21233664],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 37493/191102976],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 23/884736],
[[[1, 7], [2, 6], [4, 2], [6, 4]], 1/63700992],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 1227/1048576],
[[[1, 7], [2, 6], [4, 3], [6, 3]], 155/10616832],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 249637/905969664],
[[[1, 7], [2, 6], [4, 4], [6, 2]], 3843517/27179089920],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 45199567/21743271936],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 857531/4529848320],
[[[1, 7], [2, 6], [4, 4], [12, 1]], 8213/17694720],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 60962143/163074539520],
[[[1, 7], [2, 6], [5, 1], [8, 2]], 1/73728],
[[[1, 7], [2, 6], [6, 2], [8, 2]], 11/884736],
[[[1, 7], [2, 6], [8, 2], [10, 1]], 17/1474560],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 307398901/652298158080],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 1583/71663616],
[[[1, 7], [2, 8], [3, 1], [8, 2]], 1427/106168320],
[[[1, 7], [2, 8], [3, 2], [4, 3]], 1104281/6794772480],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 1201/5971968],
[[[1, 7], [2, 8], [3, 3], [4, 2]], 196553/10192158720],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 565/3981312],
[[[1, 7], [2, 8], [3, 3], [8, 1]], 1/31850496],
[[[1, 7], [2, 8], [3, 3], [10, 1]], 1/1327104],
[[[1, 7], [2, 8], [3, 4], [4, 1]], 11/95551488],
[[[1, 7], [2, 8], [3, 4], [6, 1]], 353/23887872],
[[[1, 7], [2, 8], [4, 1], [6, 4]], 55/31850496],
[[[1, 7], [2, 8], [4, 1], [8, 2]], 36667/212336640],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 82463/1698693120],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 58787/377487360],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 1932547/6794772480],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 171794141/144955146240],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 17053/75497472],
[[[1, 7], [2, 8], [4, 3], [12, 1]], 50029/318504960],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 16703387/27179089920],
[[[1, 7], [2, 8], [5, 1], [6, 3]], 19/6635520],
[[[1, 7], [2, 8], [6, 1], [8, 2]], 61/3932160],
[[[1, 7], [2, 8], [6, 3], [8, 1]], 5/10616832],
[[[1, 7], [2, 8], [6, 3], [10, 1]], 1/19906560],
[[[1, 7], [2, 10], [3, 1], [4, 3]], 366551/2684354560],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 74723/1433272320],
[[[1, 7], [2, 10], [3, 2], [4, 2]], 9689153/326149079040],
[[[1, 7], [2, 10], [3, 2], [5, 1]], 1/15728640],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 24277/283115520],
[[[1, 7], [2, 10], [3, 2], [8, 1]], 575/679477248],
[[[1, 7], [2, 10], [3, 2], [10, 1]], 1069/424673280],
[[[1, 7], [2, 10], [3, 3], [4, 1]], 7291/3822059520],
[[[1, 7], [2, 10], [3, 3], [6, 1]], 21293/1911029760],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 76403/1911029760],
[[[1, 7], [2, 10], [4, 2], [5, 1]], 36059/1207959552],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 7032917/36238786560],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 23798077/144955146240],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 1586377/18119393280],
[[[1, 7], [2, 10], [4, 2], [12, 1]], 5497/637009920],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 75795899/217432719360],
[[[1, 7], [2, 10], [5, 1], [6, 2]], 641/70778880],
[[[1, 7], [2, 10], [5, 1], [8, 1]], 1/2949120],
[[[1, 7], [2, 10], [6, 2], [8, 1]], 737/113246208],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 1273/212336640],
[[[1, 7], [2, 10], [8, 1], [10, 1]], 1/2949120],
[[[1, 7], [2, 12], [3, 1], [4, 2]], 38571517/1956894474240],
[[[1, 7], [2, 12], [3, 1], [5, 1]], 4627/20384317440],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 3423119/122305904640],
[[[1, 7], [2, 12], [3, 1], [8, 1]], 39319/54358179840],
[[[1, 7], [2, 12], [3, 1], [10, 1]], 2101/754974720],
[[[1, 7], [2, 12], [3, 2], [4, 1]], 78143/32614907904],
[[[1, 7], [2, 12], [3, 2], [6, 1]], 717067/122305904640],
[[[1, 7], [2, 12], [4, 1], [5, 1]], 22721/9059696640],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 9068071/163074539520],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 41357597/5218385264640],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 120557/9059696640],
[[[1, 7], [2, 12], [4, 1], [12, 1]], 1/42467328],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 62603639/652298158080],
[[[1, 7], [2, 12], [5, 1], [6, 1]], 2101/754974720],
[[[1, 7], [2, 12], [6, 1], [8, 1]], 63193/18119393280],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 49849/6794772480],
[[[1, 7], [2, 14], [3, 1], [4, 1]], 556837/289910292480],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 19220669/5870683422720],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 2384323/173946175488],
[[[1, 7], [3, 1], [4, 2], [12, 3]], 1/8847360],
[[[1, 7], [3, 1], [4, 4], [8, 2]], 5/7077888],
[[[1, 7], [3, 1], [4, 4], [12, 2]], 1/331776],
[[[1, 7], [3, 1], [4, 6], [5, 1]], 1/11796480],
[[[1, 7], [3, 1], [4, 6], [12, 1]], 5/2654208],
[[[1, 7], [3, 2], [4, 5], [8, 1]], 1/4718592],
[[[1, 7], [3, 3], [4, 2], [12, 2]], 107/17694720],
[[[1, 7], [3, 4], [4, 2], [9, 1]], 1/55296],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 1/4320],
[[[1, 7], [3, 4], [6, 2], [9, 1]], 1/124416],
[[[1, 7], [3, 4], [9, 1], [12, 1]], 1/20736],
[[[1, 7], [3, 5], [4, 2], [6, 2]], 1/3538944],
[[[1, 7], [3, 5], [4, 2], [12, 1]], 1/589824],
[[[1, 7], [3, 5], [5, 1], [6, 2]], 1/276480],
[[[1, 7], [3, 5], [5, 1], [12, 1]], 1/46080],
[[[1, 7], [3, 6], [4, 1], [8, 1]], 1/221184],
[[[1, 7], [4, 5], [8, 1], [12, 1]], 1/589824],
[[[1, 8], [2, 1], [3, 1], [4, 7]], 901/905969664],
[[[1, 8], [2, 1], [3, 2], [4, 6]], 89/452984832],
[[[1, 8], [2, 1], [3, 3], [4, 5]], 1/1769472],
[[[1, 8], [2, 1], [3, 4], [4, 4]], 1/3538944],
[[[1, 8], [2, 1], [3, 5], [6, 3]], 13/3981312],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 97/663552],
[[[1, 8], [2, 1], [3, 6], [4, 2]], 5/1769472],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 1/46080],
[[[1, 8], [2, 1], [3, 6], [6, 2]], 1/663552],
[[[1, 8], [2, 1], [3, 6], [8, 1]], 1/221184],
[[[1, 8], [2, 1], [3, 6], [12, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 7], [4, 1]], 23/5308416],
[[[1, 8], [2, 1], [3, 7], [6, 1]], 7/147456],
[[[1, 8], [2, 1], [4, 2], [8, 3]], 49/47185920],
[[[1, 8], [2, 1], [4, 4], [8, 2]], 1573/377487360],
[[[1, 8], [2, 1], [4, 4], [12, 2]], 11/17694720],
[[[1, 8], [2, 1], [4, 6], [5, 1]], 1/25165824],
[[[1, 8], [2, 1], [4, 6], [8, 1]], 6829/9059696640],
[[[1, 8], [2, 1], [4, 6], [12, 1]], 133/141557760],
[[[1, 8], [2, 1], [4, 7], [6, 1]], 17/905969664],
[[[1, 8], [2, 3], [3, 1], [4, 6]], 9031/301989888],
[[[1, 8], [2, 3], [3, 1], [8, 3]], 7/3932160],
[[[1, 8], [2, 3], [3, 2], [4, 5]], 35401/1132462080],
[[[1, 8], [2, 3], [3, 2], [6, 5]], 1/21233664],
[[[1, 8], [2, 3], [3, 3], [4, 4]], 2455/169869312],
[[[1, 8], [2, 3], [3, 3], [6, 4]], 5/3538944],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 11/2654208],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 2731/42467328],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 59/663552],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 1/5971968],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 2275/7962624],
[[[1, 8], [2, 3], [3, 5], [12, 1]], 5/1769472],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 61/2654208],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 737/4718592],
[[[1, 8], [2, 3], [4, 1], [8, 3]], 289/11796480],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 26153/141557760],
[[[1, 8], [2, 3], [4, 3], [12, 2]], 1/1327104],
[[[1, 8], [2, 3], [4, 5], [5, 1]], 19163/566231040],
[[[1, 8], [2, 3], [4, 5], [6, 2]], 8209/10192158720],
[[[1, 8], [2, 3], [4, 5], [8, 1]], 6744467/72477573120],
[[[1, 8], [2, 3], [4, 5], [10, 1]], 2819/566231040],
[[[1, 8], [2, 3], [4, 5], [12, 1]], 11419/212336640],
[[[1, 8], [2, 3], [4, 6], [6, 1]], 95297/27179089920],
[[[1, 8], [2, 3], [6, 1], [8, 3]], 43/35389440],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 15321383/54358179840],
[[[1, 8], [2, 5], [3, 1], [6, 5]], 1/7962624],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 1791949/9059696640],
[[[1, 8], [2, 5], [3, 2], [6, 4]], 13/1310720],
[[[1, 8], [2, 5], [3, 2], [8, 2]], 77/11796480],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 85/1327104],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 3881/23887872],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 379/63700992],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 99973/573308928],
[[[1, 8], [2, 5], [3, 4], [10, 1]], 1/2488320],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 1717/35831808],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 269899/566231040],
[[[1, 8], [2, 5], [4, 3], [6, 3]], 7/3538944],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 166757/905969664],
[[[1, 8], [2, 5], [4, 4], [6, 2]], 3854779/163074539520],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 87229649/108716359680],
[[[1, 8], [2, 5], [4, 4], [10, 1]], 443879/9059696640],
[[[1, 8], [2, 5], [4, 4], [12, 1]], 8801/42467328],
[[[1, 8], [2, 5], [4, 5], [6, 1]], 19155373/163074539520],
[[[1, 8], [2, 5], [5, 1], [8, 2]], 31/5898240],
[[[1, 8], [2, 5], [6, 2], [8, 2]], 323/106168320],
[[[1, 8], [2, 5], [8, 2], [10, 1]], 13/5898240],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 16703387/27179089920],
[[[1, 8], [2, 7], [3, 1], [6, 4]], 353/23887872],
[[[1, 8], [2, 7], [3, 1], [8, 2]], 61/3932160],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 1932547/6794772480],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 565/3981312],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 82463/1698693120],
[[[1, 8], [2, 7], [3, 3], [5, 1]], 1/19906560],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 1201/5971968],
[[[1, 8], [2, 7], [3, 3], [8, 1]], 5/10616832],
[[[1, 8], [2, 7], [3, 3], [10, 1]], 19/6635520],
[[[1, 8], [2, 7], [3, 4], [4, 1]], 55/31850496],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 1583/71663616],
[[[1, 8], [2, 7], [4, 1], [6, 4]], 11/95551488],
[[[1, 8], [2, 7], [4, 1], [8, 2]], 36667/212336640],
[[[1, 8], [2, 7], [4, 2], [6, 3]], 196553/10192158720],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 17053/75497472],
[[[1, 8], [2, 7], [4, 3], [6, 2]], 1104281/6794772480],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 171794141/144955146240],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 58787/377487360],
[[[1, 8], [2, 7], [4, 3], [12, 1]], 50029/318504960],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 307398901/652298158080],
[[[1, 8], [2, 7], [5, 1], [6, 3]], 1/1327104],
[[[1, 8], [2, 7], [6, 1], [8, 2]], 1427/106168320],
[[[1, 8], [2, 7], [6, 3], [8, 1]], 1/31850496],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 26543107/72477573120],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 62659/955514880],
[[[1, 8], [2, 9], [3, 2], [4, 2]], 36543263/326149079040],
[[[1, 8], [2, 9], [3, 2], [5, 1]], 71/47185920],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 5923/31850496],
[[[1, 8], [2, 9], [3, 2], [8, 1]], 847/226492416],
[[[1, 8], [2, 9], [3, 2], [10, 1]], 293/42467328],
[[[1, 8], [2, 9], [3, 3], [4, 1]], 4877/424673280],
[[[1, 8], [2, 9], [3, 3], [6, 1]], 170653/3822059520],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 49889/1911029760],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 34907/402653184],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 6941881/36238786560],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 5581187/16106127360],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 2141641/18119393280],
[[[1, 8], [2, 9], [4, 2], [12, 1]], 16343/637009920],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 104100109/217432719360],
[[[1, 8], [2, 9], [5, 1], [6, 2]], 47/4718592],
[[[1, 8], [2, 9], [5, 1], [8, 1]], 7/2949120],
[[[1, 8], [2, 9], [6, 2], [8, 1]], 2137/339738624],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 1453/424673280],
[[[1, 8], [2, 9], [8, 1], [10, 1]], 7/2949120],
[[[1, 8], [2, 11], [3, 1], [4, 2]], 15934259/217432719360],
[[[1, 8], [2, 11], [3, 1], [5, 1]], 8299/6794772480],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 2100947/40768634880],
[[[1, 8], [2, 11], [3, 1], [8, 1]], 153809/54358179840],
[[[1, 8], [2, 11], [3, 1], [10, 1]], 12613/2264924160],
[[[1, 8], [2, 11], [3, 2], [4, 1]], 226901/18119393280],
[[[1, 8], [2, 11], [3, 2], [6, 1]], 926039/40768634880],
[[[1, 8], [2, 11], [4, 1], [5, 1]], 85271/9059696640],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 10916801/163074539520],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 29951147/1159641169920],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 205739/9059696640],
[[[1, 8], [2, 11], [4, 1], [12, 1]], 13/42467328],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 18658781/108716359680],
[[[1, 8], [2, 11], [5, 1], [6, 1]], 12613/2264924160],
[[[1, 8], [2, 11], [6, 1], [8, 1]], 326429/54358179840],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 10277/1358954496],
[[[1, 8], [2, 13], [3, 1], [4, 1]], 55391581/7827577896960],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 17009381/1956894474240],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 210367613/7827577896960],
[[[1, 9], [2, 2], [3, 1], [4, 6]], 7037/1509949440],
[[[1, 9], [2, 2], [3, 2], [4, 5]], 269/75497472],
[[[1, 9], [2, 2], [3, 3], [4, 4]], 953/169869312],
[[[1, 9], [2, 2], [3, 3], [6, 4]], 1/21233664],
[[[1, 9], [2, 2], [3, 4], [4, 3]], 11/2654208],
[[[1, 9], [2, 2], [3, 4], [6, 3]], 13/21233664],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 19/663552],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 1/1990656],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 1487/42467328],
[[[1, 9], [2, 2], [3, 5], [12, 1]], 13/7077888],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 13/884736],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 4487/63700992],
[[[1, 9], [2, 2], [4, 1], [8, 3]], 143/94371840],
[[[1, 9], [2, 2], [4, 3], [8, 2]], 7/983040],
[[[1, 9], [2, 2], [4, 5], [5, 1]], 3/4194304],
[[[1, 9], [2, 2], [4, 5], [8, 1]], 319361/72477573120],
[[[1, 9], [2, 2], [4, 5], [12, 1]], 7/2949120],
[[[1, 9], [2, 2], [4, 6], [6, 1]], 7129/27179089920],
[[[1, 9], [2, 4], [3, 1], [4, 5]], 3074321/36238786560],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 2457397/27179089920],
[[[1, 9], [2, 4], [3, 2], [6, 4]], 103/318504960],
[[[1, 9], [2, 4], [3, 2], [8, 2]], 31/35389440],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 1705/31850496],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 869/71663616],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 121/7077888],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 517/7077888],
[[[1, 9], [2, 4], [3, 4], [8, 1]], 1/3981312],
[[[1, 9], [2, 4], [3, 4], [10, 1]], 1/829440],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 7/5971968],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 331/7962624],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 16277/188743680],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 271867/4529848320],
[[[1, 9], [2, 4], [4, 4], [6, 2]], 361801/163074539520],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 3432013/24159191040],
[[[1, 9], [2, 4], [4, 4], [10, 1]], 62621/9059696640],
[[[1, 9], [2, 4], [4, 4], [12, 1]], 2723/70778880],
[[[1, 9], [2, 4], [4, 5], [6, 1]], 3889361/326149079040],
[[[1, 9], [2, 4], [5, 1], [8, 2]], 7/5898240],
[[[1, 9], [2, 4], [6, 2], [8, 2]], 23/106168320],
[[[1, 9], [2, 4], [8, 2], [10, 1]], 1/5898240],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 1093339/2717908992],
[[[1, 9], [2, 6], [3, 1], [6, 4]], 49/23887872],
[[[1, 9], [2, 6], [3, 1], [8, 2]], 253/35389440],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 366463/1358954496],
[[[1, 9], [2, 6], [3, 2], [6, 3]], 119/3981312],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 1110829/15288238080],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 1/1327104],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 95/746496],
[[[1, 9], [2, 6], [3, 3], [8, 1]], 19/10616832],
[[[1, 9], [2, 6], [3, 3], [10, 1]], 103/19906560],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 713/95551488],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 407/23887872],
[[[1, 9], [2, 6], [4, 1], [8, 2]], 60863/849346560],
[[[1, 9], [2, 6], [4, 2], [6, 3]], 72713/30576476160],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 12749/75497472],
[[[1, 9], [2, 6], [4, 3], [6, 2]], 486557/13589544960],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 8476979/16106127360],
[[[1, 9], [2, 6], [4, 3], [10, 1]], 37367/754974720],
[[[1, 9], [2, 6], [4, 3], [12, 1]], 41203/637009920],
[[[1, 9], [2, 6], [4, 4], [6, 1]], 101361853/652298158080],
[[[1, 9], [2, 6], [5, 1], [6, 3]], 1/19906560],
[[[1, 9], [2, 6], [6, 1], [8, 2]], 449/106168320],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 104100109/217432719360],
[[[1, 9], [2, 8], [3, 1], [6, 3]], 170653/3822059520],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 6941881/36238786560],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 1453/424673280],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 5923/31850496],
[[[1, 9], [2, 8], [3, 2], [8, 1]], 2137/339738624],
[[[1, 9], [2, 8], [3, 2], [10, 1]], 47/4718592],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 49889/1911029760],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 62659/955514880],
[[[1, 9], [2, 8], [4, 1], [6, 3]], 4877/424673280],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 2141641/18119393280],
[[[1, 9], [2, 8], [4, 2], [6, 2]], 36543263/326149079040],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 5581187/16106127360],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 34907/402653184],
[[[1, 9], [2, 8], [4, 2], [12, 1]], 16343/637009920],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 26543107/72477573120],
[[[1, 9], [2, 8], [5, 1], [6, 2]], 293/42467328],
[[[1, 9], [2, 8], [5, 1], [8, 1]], 7/2949120],
[[[1, 9], [2, 8], [6, 2], [8, 1]], 847/226492416],
[[[1, 9], [2, 8], [6, 2], [10, 1]], 71/47185920],
[[[1, 9], [2, 8], [8, 1], [10, 1]], 7/2949120],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 111792787/652298158080],
[[[1, 9], [2, 10], [3, 1], [5, 1]], 9887/2264924160],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 316721/4529848320],
[[[1, 9], [2, 10], [3, 1], [8, 1]], 72911/10871635968],
[[[1, 9], [2, 10], [3, 1], [10, 1]], 60601/6794772480],
[[[1, 9], [2, 10], [3, 2], [4, 1]], 6399547/163074539520],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 450829/8153726976],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 218221/9059696640],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 3464071/54358179840],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 179131891/3478923509760],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 277291/9059696640],
[[[1, 9], [2, 10], [4, 1], [12, 1]], 25/21233664],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 35952281/163074539520],
[[[1, 9], [2, 10], [5, 1], [6, 1]], 60601/6794772480],
[[[1, 9], [2, 10], [6, 1], [8, 1]], 29843/3623878656],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 3137/452984832],
[[[1, 9], [2, 12], [3, 1], [4, 1]], 105043073/5218385264640],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 71465459/3913788948480],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 73481627/1739461754880],
[[[1, 9], [3, 1], [4, 5], [8, 1]], 1/75497472],
[[[1, 9], [3, 2], [4, 2], [12, 2]], 1/26542080],
[[[1, 9], [3, 2], [4, 4], [5, 1]], 1/2949120],
[[[1, 9], [3, 3], [4, 3], [8, 1]], 1/2654208],
[[[1, 9], [3, 3], [6, 2], [9, 1]], 1/19906560],
[[[1, 9], [3, 3], [9, 1], [12, 1]], 1/3317760],
[[[1, 9], [4, 2], [8, 2], [12, 1]], 1/70778880],
[[[1, 10], [2, 1], [3, 1], [4, 6]], 301/9059696640],
[[[1, 10], [2, 1], [3, 2], [4, 5]], 43/75497472],
[[[1, 10], [2, 1], [3, 3], [4, 4]], 91/169869312],
[[[1, 10], [2, 1], [3, 4], [4, 3]], 11/7962624],
[[[1, 10], [2, 1], [3, 4], [6, 3]], 13/637009920],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 11/3317760],
[[[1, 10], [2, 1], [3, 5], [4, 2]], 1/1990656],
[[[1, 10], [2, 1], [3, 5], [6, 2]], 1/21233664],
[[[1, 10], [2, 1], [3, 5], [12, 1]], 1/3538944],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 7/2654208],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 1711/212336640],
[[[1, 10], [2, 1], [4, 1], [8, 3]], 1/31457280],
[[[1, 10], [2, 1], [4, 3], [8, 2]], 1/23592960],
[[[1, 10], [2, 1], [4, 5], [5, 1]], 1/20971520],
[[[1, 10], [2, 1], [4, 5], [8, 1]], 3079/24159191040],
[[[1, 10], [2, 1], [4, 5], [12, 1]], 1/8847360],
[[[1, 10], [2, 3], [3, 1], [4, 5]], 507467/36238786560],
[[[1, 10], [2, 3], [3, 2], [4, 4]], 426251/18119393280],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 883/31850496],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 1/2654208],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 3401/191102976],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 1/2488320],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 3133/318504960],
[[[1, 10], [2, 3], [3, 4], [8, 1]], 1/1327104],
[[[1, 10], [2, 3], [3, 4], [10, 1]], 1/829440],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 7/1990656],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 101/5971968],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 3803/566231040],
[[[1, 10], [2, 3], [4, 4], [5, 1]], 14029/3019898880],
[[[1, 10], [2, 3], [4, 4], [6, 2]], 1/402653184],
[[[1, 10], [2, 3], [4, 4], [8, 1]], 222943/24159191040],
[[[1, 10], [2, 3], [4, 4], [10, 1]], 3/335544320],
[[[1, 10], [2, 3], [4, 4], [12, 1]], 437/212336640],
[[[1, 10], [2, 3], [4, 5], [6, 1]], 281051/326149079040],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 11148887/72477573120],
[[[1, 10], [2, 5], [3, 1], [8, 2]], 1/737280],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 25621/150994944],
[[[1, 10], [2, 5], [3, 2], [6, 3]], 7/7962624],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 28265/339738624],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 19/6635520],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 1673/35831808],
[[[1, 10], [2, 5], [3, 3], [8, 1]], 103/31850496],
[[[1, 10], [2, 5], [3, 3], [10, 1]], 103/19906560],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 1571/95551488],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 1199/71663616],
[[[1, 10], [2, 5], [4, 1], [8, 2]], 9887/849346560],
[[[1, 10], [2, 5], [4, 2], [6, 3]], 1/75497472],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 25171/377487360],
[[[1, 10], [2, 5], [4, 3], [6, 2]], 45599/13589544960],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 1052159/9663676416],
[[[1, 10], [2, 5], [4, 3], [10, 1]], 937/150994944],
[[[1, 10], [2, 5], [4, 3], [12, 1]], 7471/637009920],
[[[1, 10], [2, 5], [4, 4], [6, 1]], 3651667/163074539520],
[[[1, 10], [2, 5], [6, 1], [8, 2]], 11/26542080],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 75795899/217432719360],
[[[1, 10], [2, 7], [3, 1], [6, 3]], 21293/1911029760],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 7032917/36238786560],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 1273/212336640],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 24277/283115520],
[[[1, 10], [2, 7], [3, 2], [8, 1]], 737/113246208],
[[[1, 10], [2, 7], [3, 2], [10, 1]], 641/70778880],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 76403/1911029760],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 74723/1433272320],
[[[1, 10], [2, 7], [4, 1], [6, 3]], 7291/3822059520],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 1586377/18119393280],
[[[1, 10], [2, 7], [4, 2], [6, 2]], 9689153/326149079040],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 23798077/144955146240],
[[[1, 10], [2, 7], [4, 2], [10, 1]], 36059/1207959552],
[[[1, 10], [2, 7], [4, 2], [12, 1]], 5497/637009920],
[[[1, 10], [2, 7], [4, 3], [6, 1]], 366551/2684354560],
[[[1, 10], [2, 7], [5, 1], [6, 2]], 1069/424673280],
[[[1, 10], [2, 7], [5, 1], [8, 1]], 1/2949120],
[[[1, 10], [2, 7], [6, 2], [8, 1]], 575/679477248],
[[[1, 10], [2, 7], [6, 2], [10, 1]], 1/15728640],
[[[1, 10], [2, 7], [8, 1], [10, 1]], 1/2949120],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 35952281/163074539520],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 3137/452984832],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 450829/8153726976],
[[[1, 10], [2, 9], [3, 1], [8, 1]], 29843/3623878656],
[[[1, 10], [2, 9], [3, 1], [10, 1]], 60601/6794772480],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 3464071/54358179840],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 316721/4529848320],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 277291/9059696640],
[[[1, 10], [2, 9], [4, 1], [6, 2]], 6399547/163074539520],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 179131891/3478923509760],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 218221/9059696640],
[[[1, 10], [2, 9], [4, 1], [12, 1]], 25/21233664],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 111792787/652298158080],
[[[1, 10], [2, 9], [5, 1], [6, 1]], 60601/6794772480],
[[[1, 10], [2, 9], [6, 1], [8, 1]], 72911/10871635968],
[[[1, 10], [2, 9], [6, 1], [10, 1]], 9887/2264924160],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 23770331/579820584960],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 12451121/434865438720],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 267942403/5218385264640],
[[[1, 11], [2, 2], [3, 1], [4, 5]], 6869/12079595520],
[[[1, 11], [2, 2], [3, 2], [4, 4]], 71273/18119393280],
[[[1, 11], [2, 2], [3, 3], [4, 3]], 35/5308416],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 151/21233664],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 1/829440],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 941/2866544640],
[[[1, 11], [2, 2], [3, 4], [8, 1]], 1/1327104],
[[[1, 11], [2, 2], [3, 4], [10, 1]], 1/2488320],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 7/1990656],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 293/71663616],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 71/566231040],
[[[1, 11], [2, 2], [4, 4], [5, 1]], 373/1006632960],
[[[1, 11], [2, 2], [4, 4], [6, 2]], 1/10871635968],
[[[1, 11], [2, 2], [4, 4], [8, 1]], 2633/8053063680],
[[[1, 11], [2, 2], [4, 4], [10, 1]], 1/3019898880],
[[[1, 11], [2, 2], [4, 4], [12, 1]], 17/212336640],
[[[1, 11], [2, 2], [4, 5], [6, 1]], 1/268435456],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 7167497/217432719360],
[[[1, 11], [2, 4], [3, 1], [8, 2]], 1/8847360],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 915029/13589544960],
[[[1, 11], [2, 4], [3, 2], [6, 3]], 1/23887872],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 63761/1019215872],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 103/19906560],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 97/11943936],
[[[1, 11], [2, 4], [3, 3], [8, 1]], 103/31850496],
[[[1, 11], [2, 4], [3, 3], [10, 1]], 19/6635520],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 1969/95551488],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 1037/71663616],
[[[1, 11], [2, 4], [4, 1], [8, 2]], 199/283115520],
[[[1, 11], [2, 4], [4, 2], [6, 3]], 1/2038431744],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 3229/251658240],
[[[1, 11], [2, 4], [4, 3], [6, 2]], 5/100663296],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 1392887/144955146240],
[[[1, 11], [2, 4], [4, 3], [10, 1]], 9/83886080],
[[[1, 11], [2, 4], [4, 3], [12, 1]], 91/106168320],
[[[1, 11], [2, 4], [4, 4], [6, 1]], 148007/81537269760],
[[[1, 11], [2, 4], [6, 1], [8, 2]], 1/53084160],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 36224141/217432719360],
[[[1, 11], [2, 6], [3, 1], [6, 3]], 503/477757440],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 47153483/326149079040],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 641/70778880],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 6419/283115520],
[[[1, 11], [2, 6], [3, 2], [8, 1]], 641/113246208],
[[[1, 11], [2, 6], [3, 2], [10, 1]], 1273/212336640],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 18625/382205952],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 11059/318504960],
[[[1, 11], [2, 6], [4, 1], [6, 3]], 1/9437184],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 251477/6039797760],
[[[1, 11], [2, 6], [4, 2], [6, 2]], 419293/108716359680],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 669527/16106127360],
[[[1, 11], [2, 6], [4, 2], [10, 1]], 18359/3623878656],
[[[1, 11], [2, 6], [4, 2], [12, 1]], 781/637009920],
[[[1, 11], [2, 6], [4, 3], [6, 1]], 1943507/72477573120],
[[[1, 11], [2, 6], [5, 1], [6, 2]], 17/28311552],
[[[1, 11], [2, 6], [6, 2], [8, 1]], 1/25165824],
[[[1, 11], [2, 6], [6, 2], [10, 1]], 1/424673280],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 18658781/108716359680],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 10277/1358954496],
[[[1, 11], [2, 8], [3, 1], [6, 2]], 926039/40768634880],
[[[1, 11], [2, 8], [3, 1], [8, 1]], 326429/54358179840],
[[[1, 11], [2, 8], [3, 1], [10, 1]], 12613/2264924160],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 10916801/163074539520],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 2100947/40768634880],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 205739/9059696640],
[[[1, 11], [2, 8], [4, 1], [6, 2]], 226901/18119393280],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 29951147/1159641169920],
[[[1, 11], [2, 8], [4, 1], [10, 1]], 85271/9059696640],
[[[1, 11], [2, 8], [4, 1], [12, 1]], 13/42467328],
[[[1, 11], [2, 8], [4, 2], [6, 1]], 15934259/217432719360],
[[[1, 11], [2, 8], [5, 1], [6, 1]], 12613/2264924160],
[[[1, 11], [2, 8], [6, 1], [8, 1]], 153809/54358179840],
[[[1, 11], [2, 8], [6, 1], [10, 1]], 8299/6794772480],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 267942403/5218385264640],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 12451121/434865438720],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 23770331/579820584960],
[[[1, 11], [3, 1], [4, 4], [5, 1]], 1/47185920],
[[[1, 11], [3, 2], [4, 3], [8, 1]], 1/28311552],
[[[1, 11], [3, 3], [4, 2], [5, 1]], 1/1658880],
[[[1, 11], [3, 4], [4, 1], [8, 1]], 1/3981312],
[[[1, 12], [2, 1], [3, 1], [4, 5]], 383/12079595520],
[[[1, 12], [2, 1], [3, 2], [4, 4]], 2053/18119393280],
[[[1, 12], [2, 1], [3, 3], [4, 3]], 7/7962624],
[[[1, 12], [2, 1], [3, 4], [4, 2]], 49/63700992],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 1/829440],
[[[1, 12], [2, 1], [3, 4], [8, 1]], 1/3981312],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 7/5971968],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 43/59719680],
[[[1, 12], [2, 1], [4, 4], [5, 1]], 3/335544320],
[[[1, 12], [2, 1], [4, 4], [8, 1]], 13/4831838208],
[[[1, 12], [2, 1], [4, 5], [6, 1]], 1/7247757312],
[[[1, 12], [2, 3], [3, 1], [4, 4]], 757/212336640],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 192247/13589544960],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 730403/30576476160],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 103/19906560],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 11/23887872],
[[[1, 12], [2, 3], [3, 3], [8, 1]], 19/10616832],
[[[1, 12], [2, 3], [3, 3], [10, 1]], 1/1327104],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 1367/95551488],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 163/23887872],
[[[1, 12], [2, 3], [4, 1], [8, 2]], 1/94371840],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 133/83886080],
[[[1, 12], [2, 3], [4, 3], [6, 2]], 5/2717908992],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 218111/434865438720],
[[[1, 12], [2, 3], [4, 3], [10, 1]], 1/251658240],
[[[1, 12], [2, 3], [4, 3], [12, 1]], 1/35389440],
[[[1, 12], [2, 3], [4, 4], [6, 1]], 247/4831838208],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 3786497/72477573120],
[[[1, 12], [2, 5], [3, 1], [6, 3]], 5/127401984],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 8483183/108716359680],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 641/70778880],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 7889/1911029760],
[[[1, 12], [2, 5], [3, 2], [8, 1]], 1273/339738624],
[[[1, 12], [2, 5], [3, 2], [10, 1]], 1069/424673280],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 15847/382205952],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 223853/11466178560],
[[[1, 12], [2, 5], [4, 1], [6, 3]], 1/254803968],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 27757/2013265920],
[[[1, 12], [2, 5], [4, 2], [6, 2]], 48799/195689447424],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 98401/16106127360],
[[[1, 12], [2, 5], [4, 2], [10, 1]], 22123/54358179840],
[[[1, 12], [2, 5], [4, 2], [12, 1]], 11/141557760],
[[[1, 12], [2, 5], [4, 3], [6, 1]], 700511/217432719360],
[[[1, 12], [2, 5], [5, 1], [6, 2]], 1/15728640],
[[[1, 12], [2, 5], [6, 2], [8, 1]], 1/679477248],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 62603639/652298158080],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 49849/6794772480],
[[[1, 12], [2, 7], [3, 1], [6, 2]], 717067/122305904640],
[[[1, 12], [2, 7], [3, 1], [8, 1]], 63193/18119393280],
[[[1, 12], [2, 7], [3, 1], [10, 1]], 2101/754974720],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 9068071/163074539520],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 3423119/122305904640],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 120557/9059696640],
[[[1, 12], [2, 7], [4, 1], [6, 2]], 78143/32614907904],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 41357597/5218385264640],
[[[1, 12], [2, 7], [4, 1], [10, 1]], 22721/9059696640],
[[[1, 12], [2, 7], [4, 1], [12, 1]], 1/42467328],
[[[1, 12], [2, 7], [4, 2], [6, 1]], 38571517/1956894474240],
[[[1, 12], [2, 7], [5, 1], [6, 1]], 2101/754974720],
[[[1, 12], [2, 7], [6, 1], [8, 1]], 39319/54358179840],
[[[1, 12], [2, 7], [6, 1], [10, 1]], 4627/20384317440],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 73481627/1739461754880],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 71465459/3913788948480],
[[[1, 12], [2, 9], [4, 1], [6, 1]], 105043073/5218385264640],
[[[1, 13], [2, 2], [3, 1], [4, 4]], 4289/18119393280],
[[[1, 13], [2, 2], [3, 2], [4, 3]], 5849/4529848320],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 37243/10192158720],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 19/6635520],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 1/71663616],
[[[1, 13], [2, 2], [3, 3], [8, 1]], 5/10616832],
[[[1, 13], [2, 2], [3, 3], [10, 1]], 1/19906560],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 17/3538944],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 107/71663616],
[[[1, 13], [2, 2], [4, 3], [5, 1]], 9/83886080],
[[[1, 13], [2, 2], [4, 3], [8, 1]], 487/28991029248],
[[[1, 13], [2, 2], [4, 4], [6, 1]], 407/217432719360],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 6462263/652298158080],
[[[1, 13], [2, 4], [3, 1], [6, 3]], 1/764411904],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 2832401/108716359680],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 1273/212336640],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 281/637009920],
[[[1, 13], [2, 4], [3, 2], [8, 1]], 1069/679477248],
[[[1, 13], [2, 4], [3, 2], [10, 1]], 17/28311552],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 84511/3822059520],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 41357/5733089280],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 61843/18119393280],
[[[1, 13], [2, 4], [4, 2], [6, 2]], 3703/326149079040],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 277073/434865438720],
[[[1, 13], [2, 4], [4, 2], [10, 1]], 83/3623878656],
[[[1, 13], [2, 4], [4, 2], [12, 1]], 1/424673280],
[[[1, 13], [2, 4], [4, 3], [6, 1]], 31519/130459631616],
[[[1, 13], [2, 4], [5, 1], [6, 2]], 1/424673280],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 5235217/130459631616],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 12101/2264924160],
[[[1, 13], [2, 6], [3, 1], [6, 2]], 27473/24461180928],
[[[1, 13], [2, 6], [3, 1], [8, 1]], 2101/1207959552],
[[[1, 13], [2, 6], [3, 1], [10, 1]], 6763/6794772480],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 5795753/163074539520],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 488371/40768634880],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 2101/335544320],
[[[1, 13], [2, 6], [4, 1], [6, 2]], 32531/97844723712],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 3421549/1739461754880],
[[[1, 13], [2, 6], [4, 1], [10, 1]], 4627/9059696640],
[[[1, 13], [2, 6], [4, 2], [6, 1]], 803207/217432719360],
[[[1, 13], [2, 6], [5, 1], [6, 1]], 6763/6794772480],
[[[1, 13], [2, 6], [6, 1], [8, 1]], 4627/32614907904],
[[[1, 13], [2, 6], [6, 1], [10, 1]], 199/6794772480],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 210367613/7827577896960],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 17009381/1956894474240],
[[[1, 13], [2, 8], [4, 1], [6, 1]], 55391581/7827577896960],
[[[1, 13], [3, 1], [4, 3], [8, 1]], 1/905969664],
[[[1, 13], [3, 2], [4, 2], [5, 1]], 1/17694720],
[[[1, 13], [3, 3], [4, 1], [8, 1]], 1/31850496],
[[[1, 14], [2, 1], [3, 1], [4, 4]], 25/4831838208],
[[[1, 14], [2, 1], [3, 2], [4, 3]], 929/13589544960],
[[[1, 14], [2, 1], [3, 3], [4, 2]], 581/3397386240],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 1/1327104],
[[[1, 14], [2, 1], [3, 3], [8, 1]], 1/31850496],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 49/95551488],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 1/11943936],
[[[1, 14], [2, 1], [4, 3], [5, 1]], 1/251658240],
[[[1, 14], [2, 1], [4, 3], [8, 1]], 13/28991029248],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 216331/217432719360],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 4343999/978447237120],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 1069/424673280],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 13/509607936],
[[[1, 14], [2, 3], [3, 2], [8, 1]], 85/226492416],
[[[1, 14], [2, 3], [3, 2], [10, 1]], 1/15728640],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 25813/3822059520],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 29/19906560],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 22123/54358179840],
[[[1, 14], [2, 3], [4, 2], [6, 2]], 13/65229815808],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 1609/28991029248],
[[[1, 14], [2, 3], [4, 2], [10, 1]], 13/18119393280],
[[[1, 14], [2, 3], [4, 3], [6, 1]], 2599/217432719360],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 7688891/652298158080],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 2101/754974720],
[[[1, 14], [2, 5], [3, 1], [6, 2]], 10909/73383542784],
[[[1, 14], [2, 5], [3, 1], [8, 1]], 6763/10871635968],
[[[1, 14], [2, 5], [3, 1], [10, 1]], 4627/20384317440],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 2569127/163074539520],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 1360157/366917713920],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 6763/3019898880],
[[[1, 14], [2, 5], [4, 1], [6, 2]], 611/18119393280],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 727241/1739461754880],
[[[1, 14], [2, 5], [4, 1], [10, 1]], 199/3019898880],
[[[1, 14], [2, 5], [4, 2], [6, 1]], 306407/652298158080],
[[[1, 14], [2, 5], [5, 1], [6, 1]], 4627/20384317440],
[[[1, 14], [2, 5], [6, 1], [8, 1]], 199/10871635968],
[[[1, 14], [2, 5], [6, 1], [10, 1]], 13/6794772480],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 2384323/173946175488],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 19220669/5870683422720],
[[[1, 14], [2, 7], [4, 1], [6, 1]], 556837/289910292480],
[[[1, 15], [2, 2], [3, 1], [4, 3]], 2497/43486543872],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 103859/326149079040],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 17/28311552],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 1/1528823808],
[[[1, 15], [2, 2], [3, 2], [8, 1]], 1/25165824],
[[[1, 15], [2, 2], [3, 2], [10, 1]], 1/424673280],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 1241/1274019840],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 739/5733089280],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 83/3623878656],
[[[1, 15], [2, 2], [4, 2], [6, 2]], 1/195689447424],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 91/28991029248],
[[[1, 15], [2, 2], [4, 2], [10, 1]], 1/54358179840],
[[[1, 15], [2, 2], [4, 3], [6, 1]], 13/43486543872],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 91975/43486543872],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 6763/6794772480],
[[[1, 15], [2, 4], [3, 1], [6, 2]], 511/40768634880],
[[[1, 15], [2, 4], [3, 1], [8, 1]], 4627/32614907904],
[[[1, 15], [2, 4], [3, 1], [10, 1]], 199/6794772480],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 2178931/489223618560],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 88241/122305904640],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 4627/9059696640],
[[[1, 15], [2, 4], [4, 1], [6, 2]], 65/32614907904],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 64741/1043677052928],
[[[1, 15], [2, 4], [4, 1], [10, 1]], 13/3019898880],
[[[1, 15], [2, 4], [4, 2], [6, 1]], 78823/1956894474240],
[[[1, 15], [2, 4], [5, 1], [6, 1]], 199/6794772480],
[[[1, 15], [2, 4], [6, 1], [8, 1]], 13/10871635968],
[[[1, 15], [2, 4], [6, 1], [10, 1]], 1/20384317440],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 41259611/7827577896960],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 1790627/1956894474240],
[[[1, 15], [2, 6], [4, 1], [6, 1]], 2920859/7827577896960],
[[[1, 15], [3, 1], [4, 2], [5, 1]], 1/566231040],
[[[1, 15], [3, 2], [4, 1], [8, 1]], 1/679477248],
[[[1, 16], [2, 1], [3, 1], [4, 3]], 1217/652298158080],
[[[1, 16], [2, 1], [3, 2], [4, 2]], 697/65229815808],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 1/15728640],
[[[1, 16], [2, 1], [3, 2], [8, 1]], 1/679477248],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 181/3822059520],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 1/254803968],
[[[1, 16], [2, 1], [4, 2], [5, 1]], 13/18119393280],
[[[1, 16], [2, 1], [4, 2], [8, 1]], 7/86973087744],
[[[1, 16], [2, 1], [4, 3], [6, 1]], 1/130459631616],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 395881/1956894474240],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 4627/20384317440],
[[[1, 16], [2, 3], [3, 1], [6, 2]], 5/8153726976],
[[[1, 16], [2, 3], [3, 1], [8, 1]], 199/10871635968],
[[[1, 16], [2, 3], [3, 1], [10, 1]], 13/6794772480],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 13087/18119393280],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 1891/24461180928],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 199/3019898880],
[[[1, 16], [2, 3], [4, 1], [6, 2]], 5/97844723712],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 23737/4174708211712],
[[[1, 16], [2, 3], [4, 1], [10, 1]], 1/9059696640],
[[[1, 16], [2, 3], [4, 2], [6, 1]], 2807/1304596316160],
[[[1, 16], [2, 3], [5, 1], [6, 1]], 13/6794772480],
[[[1, 16], [2, 3], [6, 1], [8, 1]], 1/32614907904],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 11023961/7827577896960],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 1014323/5870683422720],
[[[1, 16], [2, 5], [4, 1], [6, 1]], 74693/1565515579392],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 2107/217432719360],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 199/6794772480],
[[[1, 17], [2, 2], [3, 1], [6, 2]], 1/73383542784],
[[[1, 17], [2, 2], [3, 1], [8, 1]], 13/10871635968],
[[[1, 17], [2, 2], [3, 1], [10, 1]], 1/20384317440],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 1901/32614907904],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 1499/366917713920],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 13/3019898880],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 457/1391569403904],
[[[1, 17], [2, 2], [4, 2], [6, 1]], 71/1304596316160],
[[[1, 17], [2, 2], [5, 1], [6, 1]], 1/20384317440],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 7590301/31310311587840],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 95371/4696546738176],
[[[1, 17], [2, 4], [4, 1], [6, 1]], 123533/31310311587840],
[[[1, 17], [3, 1], [4, 1], [8, 1]], 1/32614907904],
[[[1, 18], [2, 1], [3, 1], [4, 2]], 337/1304596316160],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 13/6794772480],
[[[1, 18], [2, 1], [3, 1], [8, 1]], 1/32614907904],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 877/489223618560],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 1/12230590464],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 1/9059696640],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 17/1391569403904],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 155611/6262062317568],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 10807/7827577896960],
[[[1, 18], [2, 3], [4, 1], [6, 1]], 6839/31310311587840],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 4727/3478923509760],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 1133/23482733690880],
[[[1, 19], [2, 2], [4, 1], [6, 1]], 17/2087354105856],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 949/31310311587840],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/1565515579392],
[[[1, 20], [2, 1], [4, 1], [6, 1]], 1/6262062317568],
[[[2, 1], [4, 2], [8, 4], [12, 1]], 7/73728],
[[[2, 1], [4, 2], [12, 1], [16, 2]], 1/1536],
[[[2, 1], [4, 4], [8, 2], [12, 2]], 1/9216],
[[[2, 1], [4, 4], [8, 2], [24, 1]], 1/18432],
[[[2, 1], [4, 6], [8, 2], [12, 1]], 1/147456],
[[[2, 3], [4, 1], [8, 1], [16, 2]], 1/8192],
[[[2, 3], [4, 1], [8, 3], [24, 1]], 1/3072],
[[[2, 3], [4, 2], [6, 1], [8, 4]], 7/294912],
[[[2, 3], [4, 2], [6, 1], [16, 2]], 1/6144],
[[[2, 3], [4, 2], [6, 3], [12, 3]], 1/13824],
[[[2, 3], [4, 2], [6, 5], [12, 2]], 1/82944],
[[[2, 3], [4, 3], [8, 3], [12, 1]], 1/16384],
[[[2, 3], [4, 4], [6, 1], [12, 3]], 1/49152],
[[[2, 3], [4, 4], [6, 3], [12, 2]], 1/294912],
[[[2, 3], [4, 5], [8, 1], [12, 2]], 1/12288],
[[[2, 3], [4, 6], [6, 1], [8, 2]], 1/1179648],
[[[2, 3], [4, 7], [8, 1], [12, 1]], 1/196608],
[[[2, 5], [3, 2], [6, 5], [18, 1]], 1/31104],
[[[2, 5], [4, 1], [6, 7], [8, 1]], 1/442368],
[[[2, 5], [4, 2], [6, 2], [12, 3]], 1/55296],
[[[2, 5], [4, 2], [6, 4], [12, 2]], 1/36864],
[[[2, 5], [4, 2], [6, 5], [18, 1]], 1/110592],
[[[2, 5], [4, 2], [8, 2], [24, 1]], 1/73728],
[[[2, 5], [4, 3], [6, 1], [8, 3]], 1/196608],
[[[2, 5], [4, 4], [6, 2], [8, 2]], 1/3538944],
[[[2, 5], [4, 4], [6, 2], [12, 2]], 25/1327104],
[[[2, 5], [4, 4], [8, 2], [10, 1]], 1/983040],
[[[2, 5], [4, 4], [8, 2], [12, 1]], 19/1179648],
[[[2, 5], [4, 4], [10, 1], [12, 2]], 1/23040],
[[[2, 5], [4, 6], [6, 2], [12, 1]], 1/1327104],
[[[2, 5], [4, 6], [10, 1], [12, 1]], 1/368640],
[[[2, 5], [4, 7], [6, 1], [8, 1]], 1/2097152],
[[[2, 5], [6, 5], [10, 1], [18, 1]], 1/8640],
[[[2, 5], [6, 5], [12, 1], [18, 1]], 1/5184],
[[[2, 7], [3, 2], [4, 2], [6, 5]], 1/3538944],
[[[2, 7], [3, 2], [6, 4], [18, 1]], 1/124416],
[[[2, 7], [3, 2], [6, 5], [10, 1]], 1/276480],
[[[2, 7], [4, 1], [6, 6], [8, 1]], 1/221184],
[[[2, 7], [4, 2], [6, 1], [12, 3]], 1/8847360],
[[[2, 7], [4, 2], [6, 3], [12, 2]], 107/17694720],
[[[2, 7], [4, 2], [6, 4], [18, 1]], 1/55296],
[[[2, 7], [4, 2], [6, 5], [12, 1]], 1/589824],
[[[2, 7], [4, 4], [6, 1], [8, 2]], 5/7077888],
[[[2, 7], [4, 4], [6, 1], [12, 2]], 1/331776],
[[[2, 7], [4, 5], [6, 2], [8, 1]], 1/4718592],
[[[2, 7], [4, 5], [8, 1], [12, 1]], 1/589824],
[[[2, 7], [4, 6], [6, 1], [10, 1]], 1/11796480],
[[[2, 7], [4, 6], [6, 1], [12, 1]], 5/2654208],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 1/4320],
[[[2, 7], [6, 4], [12, 1], [18, 1]], 1/20736],
[[[2, 7], [6, 5], [10, 1], [12, 1]], 1/46080],
[[[2, 9], [3, 2], [6, 3], [18, 1]], 1/19906560],
[[[2, 9], [4, 2], [6, 2], [12, 2]], 1/26542080],
[[[2, 9], [4, 2], [8, 2], [12, 1]], 1/70778880],
[[[2, 9], [4, 3], [6, 3], [8, 1]], 1/2654208],
[[[2, 9], [4, 4], [6, 2], [10, 1]], 1/2949120],
[[[2, 9], [4, 5], [6, 1], [8, 1]], 1/75497472],
[[[2, 9], [6, 3], [12, 1], [18, 1]], 1/3317760],
[[[2, 11], [4, 1], [6, 4], [8, 1]], 1/3981312],
[[[2, 11], [4, 2], [6, 3], [10, 1]], 1/1658880],
[[[2, 11], [4, 3], [6, 2], [8, 1]], 1/28311552],
[[[2, 11], [4, 4], [6, 1], [10, 1]], 1/47185920],
[[[2, 13], [4, 1], [6, 3], [8, 1]], 1/31850496],
[[[2, 13], [4, 2], [6, 2], [10, 1]], 1/17694720],
[[[2, 13], [4, 3], [6, 1], [8, 1]], 1/905969664],
[[[2, 15], [4, 1], [6, 2], [8, 1]], 1/679477248],
[[[2, 15], [4, 2], [6, 1], [10, 1]], 1/566231040],
[[[2, 17], [4, 1], [6, 1], [8, 1]], 1/32614907904],
[[[1, 1], [2, 2], [3, 1], [4, 4], [8, 3]], 1/589824],
[[[1, 1], [2, 2], [3, 1], [4, 4], [12, 3]], 1/49152],
[[[1, 1], [2, 2], [3, 1], [4, 8], [8, 1]], 1/7077888],
[[[1, 1], [2, 2], [3, 3], [4, 4], [12, 2]], 1/294912],
[[[1, 1], [2, 2], [4, 1], [5, 1], [8, 4]], 7/122880],
[[[1, 1], [2, 2], [4, 1], [5, 1], [16, 2]], 1/2560],
[[[1, 1], [2, 2], [4, 1], [8, 1], [16, 2]], 3/8192],
[[[1, 1], [2, 2], [4, 1], [8, 3], [24, 1]], 1/1024],
[[[1, 1], [2, 2], [4, 1], [8, 4], [10, 1]], 7/122880],
[[[1, 1], [2, 2], [4, 1], [8, 4], [12, 1]], 7/73728],
[[[1, 1], [2, 2], [4, 1], [10, 1], [16, 2]], 1/2560],
[[[1, 1], [2, 2], [4, 1], [12, 1], [16, 2]], 1/1536],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 4]], 7/294912],
[[[1, 1], [2, 2], [4, 2], [6, 1], [16, 2]], 1/6144],
[[[1, 1], [2, 2], [4, 3], [6, 2], [12, 3]], 1/9216],
[[[1, 1], [2, 2], [4, 3], [6, 4], [12, 2]], 1/55296],
[[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 1], [2, 2], [4, 3], [8, 2], [24, 1]], 1/1152],
[[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 53/49152],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 3]], 1/589824],
[[[1, 1], [2, 2], [4, 4], [6, 1], [12, 3]], 1/24576],
[[[1, 1], [2, 2], [4, 4], [6, 3], [12, 2]], 1/147456],
[[[1, 1], [2, 2], [4, 5], [5, 1], [8, 2]], 1/491520],
[[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 1/4096],
[[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 1/8192],
[[[1, 1], [2, 2], [4, 5], [8, 2], [10, 1]], 1/491520],
[[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 29/294912],
[[[1, 1], [2, 2], [4, 6], [6, 1], [8, 2]], 1/1179648],
[[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 1/65536],
[[[1, 1], [2, 2], [4, 8], [6, 1], [8, 1]], 1/7077888],
[[[1, 1], [2, 4], [3, 1], [4, 1], [8, 4]], 59/3538944],
[[[1, 1], [2, 4], [3, 1], [4, 1], [16, 2]], 1/36864],
[[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 13/7077888],
[[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 1/294912],
[[[1, 1], [2, 4], [3, 1], [4, 8], [6, 1]], 19/226492416],
[[[1, 1], [2, 4], [3, 1], [6, 1], [8, 4]], 1/98304],
[[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 7/31104],
[[[1, 1], [2, 4], [3, 3], [6, 4], [18, 1]], 7/31104],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 4]], 19/393216],
[[[1, 1], [2, 4], [4, 1], [6, 1], [16, 2]], 1/4096],
[[[1, 1], [2, 4], [4, 1], [6, 6], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [4, 2], [5, 1], [8, 3]], 1/81920],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/73728],
[[[1, 1], [2, 4], [4, 2], [6, 2], [12, 3]], 1/9216],
[[[1, 1], [2, 4], [4, 2], [6, 4], [12, 2]], 5/55296],
[[[1, 1], [2, 4], [4, 2], [6, 5], [18, 1]], 1/55296],
[[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 3/4096],
[[[1, 1], [2, 4], [4, 2], [8, 2], [24, 1]], 13/73728],
[[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 1/81920],
[[[1, 1], [2, 4], [4, 2], [8, 3], [12, 1]], 5/73728],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 47/196608],
[[[1, 1], [2, 4], [4, 3], [6, 1], [12, 3]], 7/73728],
[[[1, 1], [2, 4], [4, 3], [6, 3], [12, 2]], 23/442368],
[[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 1/1179648],
[[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 31/442368],
[[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 11/110592],
[[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 1/327680],
[[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 391/1179648],
[[[1, 1], [2, 4], [4, 4], [10, 1], [12, 2]], 1/7680],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 31/2359296],
[[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 4], [4, 6], [5, 1], [8, 1]], 1/983040],
[[[1, 1], [2, 4], [4, 6], [6, 2], [8, 1]], 1/884736],
[[[1, 1], [2, 4], [4, 6], [6, 2], [12, 1]], 1/442368],
[[[1, 1], [2, 4], [4, 6], [8, 1], [10, 1]], 1/983040],
[[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 6], [10, 1], [12, 1]], 1/122880],
[[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 3/2097152],
[[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 1/294912],
[[[1, 1], [2, 4], [6, 5], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 7]], 1/663552],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 6]], 13/3538944],
[[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 1/262144],
[[[1, 1], [2, 6], [3, 1], [4, 2], [12, 3]], 1/8847360],
[[[1, 1], [2, 6], [3, 1], [4, 6], [6, 2]], 1/7077888],
[[[1, 1], [2, 6], [3, 1], [4, 6], [8, 1]], 1/3145728],
[[[1, 1], [2, 6], [3, 1], [4, 7], [6, 1]], 11/28311552],
[[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 1/1536],
[[[1, 1], [2, 6], [3, 1], [6, 6], [10, 1]], 13/276480],
[[[1, 1], [2, 6], [3, 1], [6, 6], [12, 1]], 19/165888],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 6]], 1/663552],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 5]], 1/1769472],
[[[1, 1], [2, 6], [3, 2], [6, 4], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 2], [6, 5], [8, 1]], 1/442368],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 5]], 1/663552],
[[[1, 1], [2, 6], [3, 3], [4, 2], [6, 4]], 13/3538944],
[[[1, 1], [2, 6], [3, 3], [4, 2], [12, 2]], 1/53084160],
[[[1, 1], [2, 6], [3, 3], [6, 3], [18, 1]], 1/124416],
[[[1, 1], [2, 6], [3, 3], [6, 4], [10, 1]], 13/276480],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 1/49152],
[[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 23/165888],
[[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 1/73728],
[[[1, 1], [2, 6], [4, 1], [6, 6], [12, 1]], 1/110592],
[[[1, 1], [2, 6], [4, 1], [8, 2], [24, 1]], 1/61440],
[[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 3/40960],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 29/2359296],
[[[1, 1], [2, 6], [4, 2], [6, 1], [12, 3]], 1/294912],
[[[1, 1], [2, 6], [4, 2], [6, 3], [12, 2]], 97/1769472],
[[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 5/55296],
[[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 1/294912],
[[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 1/655360],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 1/147456],
[[[1, 1], [2, 6], [4, 3], [6, 2], [12, 2]], 7/221184],
[[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 1/32768],
[[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 9/655360],
[[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 181/5898240],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 9/262144],
[[[1, 1], [2, 6], [4, 4], [6, 1], [12, 2]], 1/36864],
[[[1, 1], [2, 6], [4, 5], [5, 1], [12, 1]], 1/245760],
[[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 11/4718592],
[[[1, 1], [2, 6], [4, 5], [6, 2], [12, 1]], 1/55296],
[[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 1/163840],
[[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 3/65536],
[[[1, 1], [2, 6], [4, 5], [10, 1], [12, 1]], 3/81920],
[[[1, 1], [2, 6], [4, 6], [6, 1], [8, 1]], 403/56623104],
[[[1, 1], [2, 6], [4, 6], [6, 1], [10, 1]], 1/3932160],
[[[1, 1], [2, 6], [4, 6], [6, 1], [12, 1]], 1/98304],
[[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 1/6912],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/1440],
[[[1, 1], [2, 6], [6, 4], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 6], [6, 5], [8, 1], [12, 1]], 1/73728],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 1/331776],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 1/110592],
[[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 1/4718592],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 1/1769472],
[[[1, 1], [2, 8], [3, 1], [4, 5], [6, 2]], 1/7077888],
[[[1, 1], [2, 8], [3, 1], [4, 5], [12, 1]], 1/1769472],
[[[1, 1], [2, 8], [3, 1], [4, 6], [6, 1]], 1/226492416],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 427/6635520],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/8640],
[[[1, 1], [2, 8], [3, 1], [6, 5], [12, 1]], 13/663552],
[[[1, 1], [2, 8], [3, 2], [4, 1], [6, 5]], 7/5308416],
[[[1, 1], [2, 8], [3, 2], [6, 3], [18, 1]], 1/663552],
[[[1, 1], [2, 8], [3, 3], [6, 2], [18, 1]], 1/19906560],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 1/196608],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 7/82944],
[[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 7/884736],
[[[1, 1], [2, 8], [4, 2], [6, 2], [12, 2]], 11/8847360],
[[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 11/23592960],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 11/4718592],
[[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 1/884736],
[[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 13/4718592],
[[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 1/983040],
[[[1, 1], [2, 8], [4, 4], [8, 1], [12, 1]], 49/17694720],
[[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 335/75497472],
[[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 1/655360],
[[[1, 1], [2, 8], [4, 5], [6, 1], [12, 1]], 11/1769472],
[[[1, 1], [2, 8], [6, 3], [12, 1], [18, 1]], 1/110592],
[[[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]], 1/28311552],
[[[1, 1], [2, 10], [3, 1], [4, 5], [6, 1]], 1/113246208],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/2488320],
[[[1, 1], [2, 10], [3, 1], [6, 4], [12, 1]], 13/106168320],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 1/1327104],
[[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 7/2654208],
[[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 1/552960],
[[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 5/9437184],
[[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 1/245760],
[[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 1/11796480],
[[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 13/75497472],
[[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 1/3145728],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 1/5971968],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 1/10616832],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 1/42467328],
[[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 1/1811939328],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 5/10616832],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 1/276480],
[[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 7/28311552],
[[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 1/1179648],
[[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 1/33554432],
[[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 1/3932160],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 1/47775744],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 1/339738624],
[[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 1/1358954496],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 1/25165824],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 1/2949120],
[[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 7/905969664],
[[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 1/20971520],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 1/1019215872],
[[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/32614907904],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 13/10871635968],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 1/94371840],
[[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 1/48922361856],
[[[1, 1], [3, 1], [4, 3], [8, 1], [12, 3]], 1/6144],
[[[1, 1], [3, 3], [4, 3], [8, 1], [12, 2]], 1/36864],
[[[1, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 1/576],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 4]], 7/294912],
[[[1, 2], [2, 1], [3, 1], [4, 2], [16, 2]], 1/6144],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 3]], 1/589824],
[[[1, 2], [2, 1], [3, 1], [4, 4], [12, 3]], 1/24576],
[[[1, 2], [2, 1], [3, 1], [4, 6], [8, 2]], 1/1179648],
[[[1, 2], [2, 1], [3, 1], [4, 8], [8, 1]], 1/7077888],
[[[1, 2], [2, 1], [3, 2], [4, 3], [12, 3]], 1/9216],
[[[1, 2], [2, 1], [3, 3], [4, 4], [12, 2]], 1/147456],
[[[1, 2], [2, 1], [3, 4], [4, 3], [12, 2]], 1/55296],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 4]], 7/122880],
[[[1, 2], [2, 1], [4, 1], [5, 1], [16, 2]], 1/2560],
[[[1, 2], [2, 1], [4, 1], [8, 1], [16, 2]], 3/8192],
[[[1, 2], [2, 1], [4, 1], [8, 3], [24, 1]], 1/1024],
[[[1, 2], [2, 1], [4, 1], [8, 4], [10, 1]], 7/122880],
[[[1, 2], [2, 1], [4, 1], [8, 4], [12, 1]], 7/73728],
[[[1, 2], [2, 1], [4, 1], [10, 1], [16, 2]], 1/2560],
[[[1, 2], [2, 1], [4, 1], [12, 1], [16, 2]], 1/1536],
[[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1/9216],
[[[1, 2], [2, 1], [4, 3], [8, 2], [24, 1]], 1/1152],
[[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 53/49152],
[[[1, 2], [2, 1], [4, 4], [6, 1], [8, 3]], 1/589824],
[[[1, 2], [2, 1], [4, 4], [6, 1], [12, 3]], 1/49152],
[[[1, 2], [2, 1], [4, 4], [6, 3], [12, 2]], 1/294912],
[[[1, 2], [2, 1], [4, 5], [5, 1], [8, 2]], 1/491520],
[[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 1/4096],
[[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 1/8192],
[[[1, 2], [2, 1], [4, 5], [8, 2], [10, 1]], 1/491520],
[[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 29/294912],
[[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 1/65536],
[[[1, 2], [2, 1], [4, 8], [6, 1], [8, 1]], 1/7077888],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 4]], 233/3538944],
[[[1, 2], [2, 3], [3, 1], [4, 1], [16, 2]], 7/36864],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 19/589824],
[[[1, 2], [2, 3], [3, 1], [4, 3], [12, 3]], 7/73728],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 115/7077888],
[[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 7], [8, 1]], 251/56623104],
[[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 1/98304],
[[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 235/679477248],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 4]], 55/884736],
[[[1, 2], [2, 3], [3, 1], [6, 1], [16, 2]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 1/1179648],
[[[1, 2], [2, 3], [3, 2], [4, 4], [12, 2]], 107/1327104],
[[[1, 2], [2, 3], [3, 2], [4, 6], [12, 1]], 5/1327104],
[[[1, 2], [2, 3], [3, 2], [6, 5], [9, 1]], 1/31104],
[[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 7/31104],
[[[1, 2], [2, 3], [3, 3], [4, 3], [12, 2]], 7/442368],
[[[1, 2], [2, 3], [3, 4], [6, 3], [9, 1]], 1/31104],
[[[1, 2], [2, 3], [3, 4], [6, 3], [18, 1]], 7/31104],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 4]], 115/1179648],
[[[1, 2], [2, 3], [4, 1], [6, 1], [16, 2]], 5/12288],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 3]], 47/81920],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 1/73728],
[[[1, 2], [2, 3], [4, 2], [6, 2], [12, 3]], 1/18432],
[[[1, 2], [2, 3], [4, 2], [6, 4], [12, 2]], 1/110592],
[[[1, 2], [2, 3], [4, 2], [6, 5], [18, 1]], 1/110592],
[[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 9/4096],
[[[1, 2], [2, 3], [4, 2], [8, 2], [24, 1]], 23/12288],
[[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 47/81920],
[[[1, 2], [2, 3], [4, 2], [8, 3], [12, 1]], 83/73728],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 157/589824],
[[[1, 2], [2, 3], [4, 3], [6, 1], [12, 3]], 1/4096],
[[[1, 2], [2, 3], [4, 3], [6, 3], [12, 2]], 11/73728],
[[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 9/327680],
[[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 1/23040],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 5/3538944],
[[[1, 2], [2, 3], [4, 4], [6, 2], [12, 2]], 175/1327104],
[[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 41/110592],
[[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 1/512],
[[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 29/983040],
[[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 409/196608],
[[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 1/7680],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 65/2359296],
[[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 1/6144],
[[[1, 2], [2, 3], [4, 6], [5, 1], [8, 1]], 1/327680],
[[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 1/368640],
[[[1, 2], [2, 3], [4, 6], [6, 2], [8, 1]], 1/884736],
[[[1, 2], [2, 3], [4, 6], [6, 2], [12, 1]], 7/1327104],
[[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 1/327680],
[[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 49/221184],
[[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 1/122880],
[[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 305/56623104],
[[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 1/98304],
[[[1, 2], [2, 3], [5, 1], [6, 5], [18, 1]], 1/8640],
[[[1, 2], [2, 3], [5, 1], [8, 2], [24, 1]], 1/960],
[[[1, 2], [2, 3], [8, 2], [10, 1], [24, 1]], 1/960],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 7]], 13/663552],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 6]], 13/1769472],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 365/2359296],
[[[1, 2], [2, 5], [3, 1], [4, 2], [12, 3]], 1/294912],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 91/3538944],
[[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 19/331776],
[[[1, 2], [2, 5], [3, 1], [4, 6], [5, 1]], 1/1474560],
[[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 67/42467328],
[[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 205/28311552],
[[[1, 2], [2, 5], [3, 1], [4, 6], [10, 1]], 1/1310720],
[[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 131/2654208],
[[[1, 2], [2, 5], [3, 1], [4, 7], [6, 1]], 47/14155776],
[[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 185/124416],
[[[1, 2], [2, 5], [3, 1], [6, 6], [8, 1]], 13/442368],
[[[1, 2], [2, 5], [3, 1], [8, 2], [24, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 6]], 13/663552],
[[[1, 2], [2, 5], [3, 2], [4, 1], [8, 3]], 5/884736],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 5]], 31/3538944],
[[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 5/10616832],
[[[1, 2], [2, 5], [3, 2], [4, 6], [6, 1]], 11/14155776],
[[[1, 2], [2, 5], [3, 2], [5, 1], [6, 5]], 1/276480],
[[[1, 2], [2, 5], [3, 2], [6, 4], [9, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 227/124416],
[[[1, 2], [2, 5], [3, 2], [6, 5], [10, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 2], [6, 5], [12, 1]], 109/165888],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 5]], 13/663552],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 4]], 13/1769472],
[[[1, 2], [2, 5], [3, 3], [4, 2], [12, 2]], 1/1769472],
[[[1, 2], [2, 5], [3, 3], [6, 3], [18, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 3], [6, 4], [8, 1]], 13/442368],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 4]], 13/663552],
[[[1, 2], [2, 5], [3, 4], [4, 2], [6, 3]], 5/589824],
[[[1, 2], [2, 5], [3, 4], [6, 2], [9, 1]], 1/124416],
[[[1, 2], [2, 5], [3, 4], [6, 3], [10, 1]], 1/9216],
[[[1, 2], [2, 5], [4, 1], [5, 1], [8, 3]], 1/61440],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 25/294912],
[[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 11/27648],
[[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 3/4096],
[[[1, 2], [2, 5], [4, 1], [8, 2], [24, 1]], 43/184320],
[[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 29/122880],
[[[1, 2], [2, 5], [4, 1], [8, 3], [12, 1]], 1/147456],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 1145/2359296],
[[[1, 2], [2, 5], [4, 2], [6, 1], [12, 3]], 13/589824],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 461/3538944],
[[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 7/55296],
[[[1, 2], [2, 5], [4, 2], [6, 5], [12, 1]], 1/589824],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 53/655360],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 5/49152],
[[[1, 2], [2, 5], [4, 3], [6, 2], [12, 2]], 13/73728],
[[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 1/55296],
[[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 13/32768],
[[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 77/655360],
[[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 2801/5898240],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 2815/7077888],
[[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 5/41472],
[[[1, 2], [2, 5], [4, 4], [6, 3], [12, 1]], 1/82944],
[[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 1/73728],
[[[1, 2], [2, 5], [4, 5], [5, 1], [12, 1]], 1/49152],
[[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 301/14155776],
[[[1, 2], [2, 5], [4, 5], [6, 2], [12, 1]], 1/18432],
[[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 47/1474560],
[[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 325/884736],
[[[1, 2], [2, 5], [4, 5], [10, 1], [12, 1]], 29/245760],
[[[1, 2], [2, 5], [4, 6], [5, 1], [6, 1]], 1/1310720],
[[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 1597/56623104],
[[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 11/11796480],
[[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 91/1327104],
[[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 1/4320],
[[[1, 2], [2, 5], [5, 1], [6, 5], [12, 1]], 1/46080],
[[[1, 2], [2, 5], [6, 1], [8, 2], [24, 1]], 1/4608],
[[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 5], [6, 4], [12, 1], [18, 1]], 1/6912],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 395/5308416],
[[[1, 2], [2, 7], [3, 1], [4, 1], [8, 3]], 89/17694720],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 1/24576],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 121/4718592],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 7/2654208],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 7/2359296],
[[[1, 2], [2, 7], [3, 1], [4, 5], [8, 1]], 14429/3397386240],
[[[1, 2], [2, 7], [3, 1], [4, 5], [12, 1]], 13/1769472],
[[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 4177/679477248],
[[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 995/1990656],
[[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 1/13824],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/3456],
[[[1, 2], [2, 7], [3, 1], [6, 5], [12, 1]], 1/8192],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 137/2654208],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 23/589824],
[[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 5/7077888],
[[[1, 2], [2, 7], [3, 2], [4, 2], [12, 2]], 1/8847360],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 1/10616832],
[[[1, 2], [2, 7], [3, 2], [4, 4], [12, 1]], 5/2654208],
[[[1, 2], [2, 7], [3, 2], [6, 3], [9, 1]], 107/6635520],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 77/1327104],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 23/46080],
[[[1, 2], [2, 7], [3, 2], [6, 4], [12, 1]], 5/110592],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 4]], 91/5308416],
[[[1, 2], [2, 7], [3, 3], [6, 2], [18, 1]], 1/663552],
[[[1, 2], [2, 7], [3, 4], [6, 1], [9, 1]], 1/19906560],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 323/5898240],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 13/27648],
[[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 1/49152],
[[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 1/393216],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 19/262144],
[[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 19/1769472],
[[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 3/81920],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 473/1966080],
[[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 17/1769472],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 145/1572864],
[[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 1/884736],
[[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 1/2949120],
[[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 3/327680],
[[[1, 2], [2, 7], [4, 4], [5, 1], [12, 1]], 1/147456],
[[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 77/1572864],
[[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 1/983040],
[[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 1/32768],
[[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 27/327680],
[[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 2227/17694720],
[[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 41/737280],
[[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 57743/1132462080],
[[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 3/655360],
[[[1, 2], [2, 7], [4, 5], [6, 1], [12, 1]], 29/589824],
[[[1, 2], [2, 7], [6, 3], [12, 1], [18, 1]], 13/221184],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 7/165888],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 7/1990656],
[[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 1/2949120],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 5/663552],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 743/169869312],
[[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 1/786432],
[[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 1/47185920],
[[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 1/1105920],
[[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 1/4718592],
[[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 1/442368],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 31/2488320],
[[[1, 2], [2, 9], [3, 1], [6, 4], [12, 1]], 13/3538944],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1/5971968],
[[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 1/169869312],
[[[1, 2], [2, 9], [3, 2], [6, 2], [9, 1]], 1/9953280],
[[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 1/3317760],
[[[1, 2], [2, 9], [3, 2], [6, 3], [12, 1]], 1/3538944],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 1/1327104],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 1/1658880],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 209/11796480],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 7/884736],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 1/552960],
[[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 115/9437184],
[[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 1/81920],
[[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 143/35389440],
[[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 1/47185920],
[[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 139/8388608],
[[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 163/15728640],
[[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 29/4423680],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 13/1990656],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 53/15925248],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 11/14155776],
[[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 1/905969664],
[[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 1033/5435817984],
[[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 1/70778880],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 1/622080],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 1/63700992],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 43/10616832],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 1/92160],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 1/17694720],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 35/9437184],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 91/5898240],
[[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 277/301989888],
[[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 1/262144],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 7/7962624],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 287/1132462080],
[[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 1/566231040],
[[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 1/37748736],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 1/6635520],
[[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 1/2038431744],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 133/226492416],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 1/196608],
[[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 1/566231040],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 7/33554432],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 229/188743680],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 5/113246208],
[[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 1/32614907904],
[[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 1063/163074539520],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 1/212336640],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 271/10871635968],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 3/10485760],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 1/1019215872],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 4]], 115/1179648],
[[[1, 3], [2, 2], [3, 1], [4, 1], [16, 2]], 5/12288],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 157/589824],
[[[1, 3], [2, 2], [3, 1], [4, 3], [12, 3]], 1/4096],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 65/2359296],
[[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 305/56623104],
[[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 1/98304],
[[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 235/679477248],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 4]], 55/884736],
[[[1, 3], [2, 2], [3, 1], [6, 1], [16, 2]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 1/73728],
[[[1, 3], [2, 2], [3, 2], [4, 2], [12, 3]], 1/18432],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 5/3538944],
[[[1, 3], [2, 2], [3, 2], [4, 4], [12, 2]], 175/1327104],
[[[1, 3], [2, 2], [3, 2], [4, 6], [8, 1]], 1/884736],
[[[1, 3], [2, 2], [3, 2], [4, 6], [12, 1]], 7/1327104],
[[[1, 3], [2, 2], [3, 3], [4, 3], [12, 2]], 11/73728],
[[[1, 3], [2, 2], [3, 3], [6, 4], [9, 1]], 7/31104],
[[[1, 3], [2, 2], [3, 3], [6, 4], [18, 1]], 1/31104],
[[[1, 3], [2, 2], [3, 4], [4, 2], [12, 2]], 1/110592],
[[[1, 3], [2, 2], [3, 5], [4, 2], [9, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 7/31104],
[[[1, 3], [2, 2], [3, 5], [6, 2], [18, 1]], 1/31104],
[[[1, 3], [2, 2], [3, 5], [9, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 4]], 233/3538944],
[[[1, 3], [2, 2], [4, 1], [6, 1], [16, 2]], 7/36864],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 47/81920],
[[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 9/4096],
[[[1, 3], [2, 2], [4, 2], [8, 2], [24, 1]], 23/12288],
[[[1, 3], [2, 2], [4, 2], [8, 3], [10, 1]], 47/81920],
[[[1, 3], [2, 2], [4, 2], [8, 3], [12, 1]], 83/73728],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 19/589824],
[[[1, 3], [2, 2], [4, 3], [6, 1], [12, 3]], 7/73728],
[[[1, 3], [2, 2], [4, 3], [6, 3], [12, 2]], 7/442368],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 29/983040],
[[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 1/7680],
[[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 1/1179648],
[[[1, 3], [2, 2], [4, 4], [6, 2], [12, 2]], 107/1327104],
[[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 41/110592],
[[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 1/512],
[[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 9/327680],
[[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 409/196608],
[[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 1/23040],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 115/7077888],
[[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 1/6144],
[[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 1/327680],
[[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 1/122880],
[[[1, 3], [2, 2], [4, 6], [6, 2], [12, 1]], 5/1327104],
[[[1, 3], [2, 2], [4, 6], [8, 1], [10, 1]], 1/327680],
[[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 49/221184],
[[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 1/368640],
[[[1, 3], [2, 2], [4, 7], [6, 1], [8, 1]], 251/56623104],
[[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 1/98304],
[[[1, 3], [2, 2], [5, 1], [8, 2], [24, 1]], 1/960],
[[[1, 3], [2, 2], [8, 2], [10, 1], [24, 1]], 1/960],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 6]], 13/3538944],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 763/1179648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [12, 3]], 13/589824],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 991/3538944],
[[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 79/331776],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 1/1990656],
[[[1, 3], [2, 4], [3, 1], [4, 6], [5, 1]], 1/491520],
[[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 101/42467328],
[[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 3413/56623104],
[[[1, 3], [2, 4], [3, 1], [4, 6], [10, 1]], 3/1310720],
[[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 413/2654208],
[[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 905/84934656],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 6]], 13/276480],
[[[1, 3], [2, 4], [3, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 3], [2, 4], [3, 1], [6, 2], [8, 3]], 1/55296],
[[[1, 3], [2, 4], [3, 1], [6, 5], [18, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 1], [8, 2], [24, 1]], 7/13824],
[[[1, 3], [2, 4], [3, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 6]], 5/110592],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 3]], 41/884736],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 5]], 5/294912],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 7/442368],
[[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 95/663552],
[[[1, 3], [2, 4], [3, 2], [4, 5], [5, 1]], 1/1105920],
[[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 1/995328],
[[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 77/10616832],
[[[1, 3], [2, 4], [3, 2], [4, 5], [10, 1]], 1/1105920],
[[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 41/663552],
[[[1, 3], [2, 4], [3, 2], [4, 6], [6, 1]], 73/42467328],
[[[1, 3], [2, 4], [3, 2], [6, 1], [8, 3]], 1/55296],
[[[1, 3], [2, 4], [3, 2], [6, 4], [9, 1]], 5/20736],
[[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 227/124416],
[[[1, 3], [2, 4], [3, 2], [6, 5], [8, 1]], 5/73728],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 5]], 5/110592],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 4]], 43/3538944],
[[[1, 3], [2, 4], [3, 3], [4, 2], [12, 2]], 13/3538944],
[[[1, 3], [2, 4], [3, 3], [4, 5], [6, 1]], 1/1990656],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 4]], 13/276480],
[[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 185/124416],
[[[1, 3], [2, 4], [3, 3], [6, 4], [10, 1]], 1/9216],
[[[1, 3], [2, 4], [3, 3], [6, 4], [12, 1]], 223/165888],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 4]], 5/110592],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 3]], 5/294912],
[[[1, 3], [2, 4], [3, 4], [6, 2], [9, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 4], [6, 2], [18, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 4], [6, 3], [8, 1]], 5/73728],
[[[1, 3], [2, 4], [3, 5], [4, 1], [6, 3]], 5/110592],
[[[1, 3], [2, 4], [3, 5], [4, 2], [6, 2]], 5/589824],
[[[1, 3], [2, 4], [3, 5], [6, 1], [9, 1]], 1/124416],
[[[1, 3], [2, 4], [3, 5], [6, 2], [10, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 3]], 83/122880],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 31/294912],
[[[1, 3], [2, 4], [4, 1], [6, 5], [18, 1]], 7/165888],
[[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 9/4096],
[[[1, 3], [2, 4], [4, 1], [8, 2], [24, 1]], 71/55296],
[[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 101/122880],
[[[1, 3], [2, 4], [4, 1], [8, 3], [12, 1]], 7/147456],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 127/131072],
[[[1, 3], [2, 4], [4, 2], [6, 1], [12, 3]], 5/147456],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 53/884736],
[[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 1/18432],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 293/327680],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 49/442368],
[[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 215/663552],
[[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 7/55296],
[[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 69/16384],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 301/327680],
[[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 4519/1769472],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 1459/2359296],
[[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 23/82944],
[[[1, 3], [2, 4], [4, 4], [6, 3], [12, 1]], 1/82944],
[[[1, 3], [2, 4], [4, 5], [5, 1], [6, 2]], 1/1105920],
[[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 71/1474560],
[[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 3/40960],
[[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 367/14155776],
[[[1, 3], [2, 4], [4, 5], [6, 2], [10, 1]], 1/1105920],
[[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 65/663552],
[[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 89/1474560],
[[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 1417/884736],
[[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 17/122880],
[[[1, 3], [2, 4], [4, 6], [5, 1], [6, 1]], 3/1310720],
[[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 1405/18874368],
[[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 5/2359296],
[[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 221/1327104],
[[[1, 3], [2, 4], [5, 1], [6, 1], [8, 3]], 1/30720],
[[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 1/1440],
[[[1, 3], [2, 4], [6, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 3], [2, 4], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 437/2654208],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 2699/17694720],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 1/18432],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 4991/14155776],
[[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 1/82944],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 1/221184],
[[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1/110592],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 31/1179648],
[[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 361619/3397386240],
[[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 187/17694720],
[[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 709/5308416],
[[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 26087/679477248],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 1/8640],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 3]], 13/221184],
[[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 1/36864],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 367/442368],
[[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 5/27648],
[[[1, 3], [2, 6], [3, 1], [6, 5], [12, 1]], 5/73728],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1961/5308416],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 241/1769472],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 289/7077888],
[[[1, 3], [2, 6], [3, 2], [4, 2], [12, 2]], 91/26542080],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 7/1179648],
[[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 65/10616832],
[[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 49/2654208],
[[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 841/63700992],
[[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 97/663552],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 511/995328],
[[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 23/73728],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 103/138240],
[[[1, 3], [2, 6], [3, 2], [6, 4], [12, 1]], 73/221184],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 223/884736],
[[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 1/1327104],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 5/73728],
[[[1, 3], [2, 6], [3, 3], [4, 3], [12, 1]], 1/497664],
[[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 427/6635520],
[[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 13/1327104],
[[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 1/1152],
[[[1, 3], [2, 6], [3, 3], [6, 3], [12, 1]], 5/110592],
[[[1, 3], [2, 6], [3, 3], [9, 1], [12, 1]], 1/3317760],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 3]], 35/884736],
[[[1, 3], [2, 6], [3, 4], [6, 1], [9, 1]], 1/663552],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 2093/5898240],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 1/147456],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 61/82944],
[[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 7/884736],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 15/131072],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 871/2359296],
[[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 59/1769472],
[[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 43/81920],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 543/655360],
[[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 317/2949120],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 13301/14155776],
[[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 1/82944],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 73/2654208],
[[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 1/55296],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 1/983040],
[[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 119/1474560],
[[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 11/245760],
[[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 827/4718592],
[[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 1/2949120],
[[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 103/884736],
[[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 443/1474560],
[[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 1633/1966080],
[[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 47/245760],
[[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 187/17694720],
[[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 442193/1132462080],
[[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 241/17694720],
[[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1195/5308416],
[[[1, 3], [2, 6], [6, 3], [12, 1], [18, 1]], 5/55296],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 71/331776],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 1/221184],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 311/8847360],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 7/165888],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 1931/56623104],
[[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 93617/3397386240],
[[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 1/3145728],
[[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 11/829440],
[[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 49523/1698693120],
[[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 1/49152],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 5/55296],
[[[1, 3], [2, 8], [3, 1], [6, 4], [12, 1]], 169/7077888],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 161/884736],
[[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 49/53084160],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 7/1990656],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 35/2654208],
[[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 5/1179648],
[[[1, 3], [2, 8], [3, 2], [4, 3], [12, 1]], 49/19906560],
[[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 7/56623104],
[[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 11/3317760],
[[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 91/9953280],
[[[1, 3], [2, 8], [3, 2], [6, 3], [12, 1]], 5/589824],
[[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 1/2488320],
[[[1, 3], [2, 8], [3, 3], [6, 2], [12, 1]], 1/3538944],
[[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 7/5898240],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 41/5898240],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 1/3981312],
[[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 1/163840],
[[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 79/5898240],
[[[1, 3], [2, 8], [4, 1], [8, 2], [12, 1]], 1/3538944],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 1/552960],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 2533/11796480],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 7/884736],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 1/1658880],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 1/245760],
[[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 1/65536],
[[[1, 3], [2, 8], [4, 3], [5, 1], [12, 1]], 7/2211840],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 2911/28311552],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1/81920],
[[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 41/2211840],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 41/327680],
[[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 47/884736],
[[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 79/2211840],
[[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 1/3145728],
[[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 64273/377487360],
[[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 1399/47185920],
[[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 277/4423680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 133/5971968],
[[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 31/212336640],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 527/15925248],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 13/589824],
[[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 1039/503316480],
[[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 1/3932160],
[[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 31/79626240],
[[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 229/67108864],
[[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 11/23592960],
[[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 1/995328],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 1/207360],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 5/2985984],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 1/2359296],
[[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 29/42467328],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 1/276480],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 29/23592960],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 319/31850496],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 1/92160],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 1/1179648],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 205/9437184],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 751/17694720],
[[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 1/5898240],
[[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 1/3932160],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 115361/4529848320],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 43/1310720],
[[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 29/8847360],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 287/23887872],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 16123/3397386240],
[[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 7/905969664],
[[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 1/20971520],
[[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 2189/2264924160],
[[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 1/10616832],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 1/442368],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 5/31850496],
[[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 11/679477248],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 1/2949120],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 3229/679477248],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 19/983040],
[[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 1/20971520],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 739/301989888],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 7549/566231040],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 2317/2548039680],
[[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 13/10871635968],
[[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 1/94371840],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 2011/10871635968],
[[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 1/339738624],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 1/7864320],
[[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 5/1019215872],
[[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 1/94371840],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 10459/32614907904],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 17/6291456],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 5957/244611809280],
[[[1, 3], [3, 1], [4, 2], [5, 1], [12, 3]], 1/3840],
[[[1, 3], [3, 1], [4, 2], [8, 2], [24, 1]], 1/2304],
[[[1, 3], [3, 1], [4, 4], [6, 2], [12, 2]], 1/294912],
[[[1, 3], [3, 1], [4, 4], [8, 2], [12, 1]], 1/36864],
[[[1, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/18432],
[[[1, 3], [3, 3], [4, 2], [5, 1], [12, 2]], 1/23040],
[[[1, 3], [3, 3], [4, 2], [6, 2], [12, 2]], 1/82944],
[[[1, 3], [3, 5], [4, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 4]], 19/393216],
[[[1, 4], [2, 1], [3, 1], [4, 1], [16, 2]], 1/4096],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 47/196608],
[[[1, 4], [2, 1], [3, 1], [4, 3], [12, 3]], 7/73728],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 31/2359296],
[[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 3/2097152],
[[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 1/294912],
[[[1, 4], [2, 1], [3, 1], [4, 8], [6, 1]], 19/226492416],
[[[1, 4], [2, 1], [3, 1], [6, 1], [8, 4]], 1/98304],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/73728],
[[[1, 4], [2, 1], [3, 2], [4, 2], [12, 3]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 1/1179648],
[[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 31/442368],
[[[1, 4], [2, 1], [3, 2], [4, 6], [8, 1]], 1/884736],
[[[1, 4], [2, 1], [3, 2], [4, 6], [12, 1]], 1/442368],
[[[1, 4], [2, 1], [3, 3], [4, 3], [12, 2]], 23/442368],
[[[1, 4], [2, 1], [3, 4], [4, 2], [12, 2]], 5/55296],
[[[1, 4], [2, 1], [3, 4], [6, 3], [9, 1]], 7/31104],
[[[1, 4], [2, 1], [3, 5], [4, 2], [9, 1]], 1/55296],
[[[1, 4], [2, 1], [3, 5], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 6], [4, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 7/31104],
[[[1, 4], [2, 1], [4, 1], [6, 1], [8, 4]], 59/3538944],
[[[1, 4], [2, 1], [4, 1], [6, 1], [16, 2]], 1/36864],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 1/81920],
[[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 3/4096],
[[[1, 4], [2, 1], [4, 2], [8, 2], [24, 1]], 13/73728],
[[[1, 4], [2, 1], [4, 2], [8, 3], [10, 1]], 1/81920],
[[[1, 4], [2, 1], [4, 2], [8, 3], [12, 1]], 5/73728],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 1/327680],
[[[1, 4], [2, 1], [4, 4], [5, 1], [12, 2]], 1/7680],
[[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 11/110592],
[[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 391/1179648],
[[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 13/7077888],
[[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 1/18432],
[[[1, 4], [2, 1], [4, 6], [5, 1], [8, 1]], 1/983040],
[[[1, 4], [2, 1], [4, 6], [5, 1], [12, 1]], 1/122880],
[[[1, 4], [2, 1], [4, 6], [8, 1], [10, 1]], 1/983040],
[[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 1/294912],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 127/131072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [12, 3]], 5/147456],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 1459/2359296],
[[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 23/82944],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 3]], 1/1990656],
[[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 5/2359296],
[[[1, 4], [2, 3], [3, 1], [4, 6], [6, 2]], 73/42467328],
[[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 1405/18874368],
[[[1, 4], [2, 3], [3, 1], [4, 6], [10, 1]], 3/1310720],
[[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 221/1327104],
[[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 905/84934656],
[[[1, 4], [2, 3], [3, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 4], [2, 3], [3, 1], [6, 2], [8, 3]], 1/55296],
[[[1, 4], [2, 3], [3, 1], [6, 5], [18, 1]], 1/124416],
[[[1, 4], [2, 3], [3, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 31/294912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 5]], 5/589824],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 49/442368],
[[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 215/663552],
[[[1, 4], [2, 3], [3, 2], [4, 5], [5, 1]], 1/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 1/995328],
[[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 367/14155776],
[[[1, 4], [2, 3], [3, 2], [4, 5], [10, 1]], 1/1105920],
[[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 65/663552],
[[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 101/42467328],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 5]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [6, 1], [8, 3]], 1/55296],
[[[1, 4], [2, 3], [3, 2], [6, 4], [9, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 2], [6, 4], [18, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 5]], 5/110592],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 4]], 5/294912],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/221184],
[[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 53/884736],
[[[1, 4], [2, 3], [3, 3], [4, 4], [12, 1]], 1/82944],
[[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 1/1990656],
[[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 185/124416],
[[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 3], [6, 4], [8, 1]], 5/73728],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 4]], 5/110592],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 3]], 43/3538944],
[[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 1/18432],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 3]], 1/9216],
[[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 227/124416],
[[[1, 4], [2, 3], [3, 4], [6, 2], [18, 1]], 5/20736],
[[[1, 4], [2, 3], [3, 4], [6, 3], [10, 1]], 13/276480],
[[[1, 4], [2, 3], [3, 4], [6, 3], [12, 1]], 223/165888],
[[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 3]], 5/110592],
[[[1, 4], [2, 3], [3, 5], [4, 1], [9, 1]], 7/165888],
[[[1, 4], [2, 3], [3, 5], [4, 2], [6, 2]], 5/294912],
[[[1, 4], [2, 3], [3, 5], [6, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 5], [6, 2], [8, 1]], 5/73728],
[[[1, 4], [2, 3], [3, 6], [4, 1], [6, 2]], 5/110592],
[[[1, 4], [2, 3], [3, 6], [4, 2], [6, 1]], 13/3538944],
[[[1, 4], [2, 3], [3, 6], [6, 1], [10, 1]], 13/276480],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 101/122880],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 3]], 41/884736],
[[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 9/4096],
[[[1, 4], [2, 3], [4, 1], [8, 2], [24, 1]], 71/55296],
[[[1, 4], [2, 3], [4, 1], [8, 3], [10, 1]], 83/122880],
[[[1, 4], [2, 3], [4, 1], [8, 3], [12, 1]], 7/147456],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 763/1179648],
[[[1, 4], [2, 3], [4, 2], [6, 1], [12, 3]], 13/589824],
[[[1, 4], [2, 3], [4, 2], [6, 3], [12, 2]], 13/3538944],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 301/327680],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 7/442368],
[[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 95/663552],
[[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 7/55296],
[[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 69/16384],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 293/327680],
[[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 4519/1769472],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 991/3538944],
[[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 79/331776],
[[[1, 4], [2, 3], [4, 5], [5, 1], [6, 2]], 1/1105920],
[[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 89/1474560],
[[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 17/122880],
[[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 77/10616832],
[[[1, 4], [2, 3], [4, 5], [6, 2], [10, 1]], 1/1105920],
[[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 41/663552],
[[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 71/1474560],
[[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 1417/884736],
[[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 3/40960],
[[[1, 4], [2, 3], [4, 6], [5, 1], [6, 1]], 3/1310720],
[[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 3413/56623104],
[[[1, 4], [2, 3], [4, 6], [6, 1], [10, 1]], 1/491520],
[[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 413/2654208],
[[[1, 4], [2, 3], [5, 1], [6, 1], [8, 3]], 1/30720],
[[[1, 4], [2, 3], [6, 1], [8, 2], [24, 1]], 7/13824],
[[[1, 4], [2, 3], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 6]], 91/5308416],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 1135/1769472],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 5/221184],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 20447/14155776],
[[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 7/82944],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 91/7962624],
[[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 31/1105920],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 463/10616832],
[[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 287801/679477248],
[[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 577/17694720],
[[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 2317/5308416],
[[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 71989/679477248],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 3]], 43/221184],
[[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 11/331776],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 511/995328],
[[[1, 4], [2, 5], [3, 1], [6, 5], [12, 1]], 1/663552],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 547/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 275/1769472],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 919/3538944],
[[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 41/1769472],
[[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 13/1105920],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 133/3981312],
[[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 1307/10616832],
[[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 107/8847360],
[[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 211/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 2125/63700992],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 23/46080],
[[[1, 4], [2, 5], [3, 2], [5, 1], [8, 2]], 1/92160],
[[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 35/165888],
[[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 461/1327104],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 367/442368],
[[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 103/221184],
[[[1, 4], [2, 5], [3, 2], [6, 4], [12, 1]], 7/27648],
[[[1, 4], [2, 5], [3, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 3869/5308416],
[[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 7/1327104],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 5/24576],
[[[1, 4], [2, 5], [3, 3], [4, 3], [12, 1]], 7/497664],
[[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 143/15925248],
[[[1, 4], [2, 5], [3, 3], [6, 1], [8, 2]], 5/331776],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 995/1990656],
[[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 53/331776],
[[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 5/9216],
[[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 3], [6, 3], [12, 1]], 5/12288],
[[[1, 4], [2, 5], [3, 3], [9, 1], [12, 1]], 1/110592],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 205/442368],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 103/1769472],
[[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 77/1327104],
[[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 103/138240],
[[[1, 4], [2, 5], [3, 4], [6, 2], [12, 1]], 13/663552],
[[[1, 4], [2, 5], [3, 5], [4, 1], [6, 2]], 35/884736],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 707/884736],
[[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 5/442368],
[[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 7/27648],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 1291/983040],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 203/393216],
[[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 73/1769472],
[[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 71/24576],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 1759/983040],
[[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 3491/7077888],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 27845/14155776],
[[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 7/82944],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 1/36864],
[[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 5/165888],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 113/8847360],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 1999/2949120],
[[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 11/73728],
[[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 129/524288],
[[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 13/1105920],
[[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 101/442368],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 2431/2949120],
[[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 47059/17694720],
[[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 91/368640],
[[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 577/17694720],
[[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 452039/679477248],
[[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 523/17694720],
[[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 2611/5308416],
[[[1, 4], [2, 5], [5, 1], [6, 2], [8, 2]], 1/92160],
[[[1, 4], [2, 5], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 5], [6, 3], [12, 1], [18, 1]], 13/221184],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 13/41472],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 29/1990656],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 13829/35389440],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 167/1990656],
[[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 3299/141557760],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 26963/169869312],
[[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 1093007/3397386240],
[[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 4763/141557760],
[[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 2051/13271040],
[[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 98431/566231040],
[[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 1/368640],
[[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 5/49152],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 11/55296],
[[[1, 4], [2, 7], [3, 1], [6, 4], [12, 1]], 65/1769472],
[[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 1963/2654208],
[[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 2329/53084160],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 23/497664],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 11/98304],
[[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 1577/28311552],
[[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 529/19906560],
[[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 35525/509607936],
[[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 29/663552],
[[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 19/663552],
[[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 41/663552],
[[[1, 4], [2, 7], [3, 2], [6, 3], [12, 1]], 65/1179648],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 35/110592],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 49/1990656],
[[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 1/221184],
[[[1, 4], [2, 7], [3, 3], [4, 2], [12, 1]], 1/497664],
[[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 31/2488320],
[[[1, 4], [2, 7], [3, 3], [6, 2], [12, 1]], 5/589824],
[[[1, 4], [2, 7], [3, 4], [6, 1], [12, 1]], 13/106168320],
[[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 211/5898240],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 187/1966080],
[[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 21/163840],
[[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 427/5898240],
[[[1, 4], [2, 7], [4, 1], [8, 2], [12, 1]], 13/3538944],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 1/552960],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 5789/5898240],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 115/2654208],
[[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 1/165888],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1/81920],
[[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 139/983040],
[[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 67/2211840],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 10063/28311552],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 1/245760],
[[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 67/737280],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 463/983040],
[[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 9073/26542080],
[[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 283/2211840],
[[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 4763/141557760],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 338303/377487360],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 7493/141557760],
[[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 601/2211840],
[[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 1/368640],
[[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 175/5971968],
[[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 2107/212336640],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 5939/47775744],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 373/2654208],
[[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 196283/4529848320],
[[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 1/262144],
[[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 559/79626240],
[[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 2208739/27179089920],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 1/622080],
[[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 151/17694720],
[[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 1/331776],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 1/207360],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 23/995328],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 407/10616832],
[[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 49/8847360],
[[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 1/17694720],
[[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 23/39813120],
[[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 5/524288],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 19/414720],
[[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 61/31850496],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 1/92160],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 553/23592960],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 319/31850496],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 1/276480],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 91/5898240],
[[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 7/983040],
[[[1, 4], [2, 9], [4, 2], [5, 1], [12, 1]], 1/2211840],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 12749/141557760],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 751/17694720],
[[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 31/13271040],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 79/983040],
[[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 3/655360],
[[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 7/2211840],
[[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 1/262144],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 496829/2264924160],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 319/3932160],
[[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 301/8847360],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1241/23887872],
[[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 1/566231040],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 100109/2038431744],
[[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 4913/4529848320],
[[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 229/188743680],
[[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 1/19906560],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 18487/1358954496],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 1/6635520],
[[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 5/3538944],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 19/2211840],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 37/10616832],
[[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 1/679477248],
[[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 1861/1132462080],
[[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 1/6635520],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 1/196608],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 5377/339738624],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 103/2949120],
[[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 229/188743680],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 103223/4529848320],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 2717/56623104],
[[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 1/3317760],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 22921/2548039680],
[[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 271/10871635968],
[[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 3/10485760],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 87155/32614907904],
[[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 1/212336640],
[[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 1/12582912],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 17/14155776],
[[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 17/113246208],
[[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 3/10485760],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 25123/10871635968],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 1069/94371840],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 17491/48922361856],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 1145/2359296],
[[[1, 5], [2, 2], [3, 1], [4, 2], [12, 3]], 13/589824],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 2815/7077888],
[[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 5/41472],
[[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 11/11796480],
[[[1, 5], [2, 2], [3, 1], [4, 6], [6, 2]], 11/14155776],
[[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 1597/56623104],
[[[1, 5], [2, 2], [3, 1], [4, 6], [10, 1]], 1/1310720],
[[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 91/1327104],
[[[1, 5], [2, 2], [3, 1], [4, 7], [6, 1]], 47/14155776],
[[[1, 5], [2, 2], [3, 1], [8, 2], [24, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 25/294912],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 5/49152],
[[[1, 5], [2, 2], [3, 2], [4, 3], [12, 2]], 13/73728],
[[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 301/14155776],
[[[1, 5], [2, 2], [3, 2], [4, 5], [12, 1]], 1/18432],
[[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 67/42467328],
[[[1, 5], [2, 2], [3, 2], [6, 4], [18, 1]], 1/124416],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 4]], 5/589824],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/221184],
[[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 461/3538944],
[[[1, 5], [2, 2], [3, 3], [4, 4], [12, 1]], 1/82944],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 4]], 1/9216],
[[[1, 5], [2, 2], [3, 3], [6, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 4]], 13/663552],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 3]], 13/1769472],
[[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 7/55296],
[[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 227/124416],
[[[1, 5], [2, 2], [3, 4], [6, 2], [18, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 4], [6, 3], [8, 1]], 13/442368],
[[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 2], [3, 4], [9, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 3]], 13/663552],
[[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 11/27648],
[[[1, 5], [2, 2], [3, 5], [4, 2], [6, 2]], 31/3538944],
[[[1, 5], [2, 2], [3, 5], [4, 2], [12, 1]], 1/589824],
[[[1, 5], [2, 2], [3, 5], [5, 1], [6, 2]], 1/9216],
[[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 185/124416],
[[[1, 5], [2, 2], [3, 5], [6, 2], [10, 1]], 1/276480],
[[[1, 5], [2, 2], [3, 5], [6, 2], [12, 1]], 109/165888],
[[[1, 5], [2, 2], [3, 5], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 6], [4, 1], [6, 2]], 13/663552],
[[[1, 5], [2, 2], [3, 6], [4, 2], [6, 1]], 13/1769472],
[[[1, 5], [2, 2], [3, 6], [6, 1], [8, 1]], 13/442368],
[[[1, 5], [2, 2], [3, 7], [4, 1], [6, 1]], 13/663552],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 29/122880],
[[[1, 5], [2, 2], [4, 1], [6, 2], [8, 3]], 5/884736],
[[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 3/4096],
[[[1, 5], [2, 2], [4, 1], [8, 2], [24, 1]], 43/184320],
[[[1, 5], [2, 2], [4, 1], [8, 3], [10, 1]], 1/61440],
[[[1, 5], [2, 2], [4, 1], [8, 3], [12, 1]], 1/147456],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 365/2359296],
[[[1, 5], [2, 2], [4, 2], [6, 1], [12, 3]], 1/294912],
[[[1, 5], [2, 2], [4, 2], [6, 3], [12, 2]], 1/1769472],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 77/655360],
[[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 1/55296],
[[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 13/32768],
[[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 53/655360],
[[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 2801/5898240],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 91/3538944],
[[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 19/331776],
[[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 47/1474560],
[[[1, 5], [2, 2], [4, 5], [5, 1], [12, 1]], 29/245760],
[[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 5/10616832],
[[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 1/73728],
[[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 325/884736],
[[[1, 5], [2, 2], [4, 5], [10, 1], [12, 1]], 1/49152],
[[[1, 5], [2, 2], [4, 6], [5, 1], [6, 1]], 1/1310720],
[[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 205/28311552],
[[[1, 5], [2, 2], [4, 6], [6, 1], [10, 1]], 1/1474560],
[[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 131/2654208],
[[[1, 5], [2, 2], [6, 1], [8, 2], [24, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 707/884736],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 27845/14155776],
[[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 7/82944],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 143/15925248],
[[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 523/17694720],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 2125/63700992],
[[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 452039/679477248],
[[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 577/17694720],
[[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 2611/5308416],
[[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 71989/679477248],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 3]], 43/221184],
[[[1, 5], [2, 4], [3, 1], [6, 3], [8, 2]], 5/331776],
[[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 77/1327104],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 5]], 35/884736],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 103/1769472],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 203/393216],
[[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 73/1769472],
[[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 13/1105920],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 133/3981312],
[[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 129/524288],
[[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 113/8847360],
[[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 101/442368],
[[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 463/10616832],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 103/138240],
[[[1, 5], [2, 4], [3, 2], [5, 1], [8, 2]], 1/92160],
[[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 35/165888],
[[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 53/331776],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 995/1990656],
[[[1, 5], [2, 4], [3, 2], [6, 4], [12, 1]], 13/663552],
[[[1, 5], [2, 4], [3, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 205/442368],
[[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 5/442368],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 5/24576],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 1/36864],
[[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 5/165888],
[[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 91/7962624],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 1/1152],
[[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 11/331776],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 367/442368],
[[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 461/1327104],
[[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 5/9216],
[[[1, 5], [2, 4], [3, 3], [6, 3], [12, 1]], 5/12288],
[[[1, 5], [2, 4], [3, 3], [9, 1], [12, 1]], 13/221184],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 3869/5308416],
[[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 275/1769472],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 511/995328],
[[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 103/221184],
[[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 23/46080],
[[[1, 5], [2, 4], [3, 4], [6, 2], [12, 1]], 7/27648],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 547/1327104],
[[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 5/221184],
[[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 5], [6, 1], [12, 1]], 1/663552],
[[[1, 5], [2, 4], [3, 6], [4, 1], [6, 1]], 91/5308416],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 1135/1769472],
[[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 7/1327104],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 1759/983040],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 919/3538944],
[[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 41/1769472],
[[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 71/24576],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 1291/983040],
[[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 3491/7077888],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 20447/14155776],
[[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 7/82944],
[[[1, 5], [2, 4], [4, 3], [6, 3], [12, 1]], 7/497664],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 107/8847360],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 2431/2949120],
[[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 91/368640],
[[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 1307/10616832],
[[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 13/1105920],
[[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 211/1327104],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 1999/2949120],
[[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 47059/17694720],
[[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 11/73728],
[[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 577/17694720],
[[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 287801/679477248],
[[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 31/1105920],
[[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 2317/5308416],
[[[1, 5], [2, 4], [5, 1], [6, 2], [8, 2]], 1/92160],
[[[1, 5], [2, 4], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 5], [2, 4], [6, 3], [12, 1], [18, 1]], 1/110592],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 35/331776],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 25/1990656],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 52117/35389440],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 145/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 11597/141557760],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 47729/169869312],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 826349/679477248],
[[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 15749/141557760],
[[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 6907/13271040],
[[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 453151/1019215872],
[[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 7/368640],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 95/442368],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 11/55296],
[[[1, 5], [2, 6], [3, 1], [6, 4], [12, 1]], 169/7077888],
[[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 7/368640],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 7139/7962624],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 349/1769472],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 53/746496],
[[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 1/36864],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 77/221184],
[[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 9103/28311552],
[[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 23/737280],
[[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 103/663552],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 112931/509607936],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 29/165888],
[[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 59/663552],
[[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 73/663552],
[[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 2], [6, 3], [12, 1]], 25/294912],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 1157/995328],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 35/663552],
[[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 7/221184],
[[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 7/497664],
[[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 5/82944],
[[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 5/55296],
[[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 1/20736],
[[[1, 5], [2, 6], [3, 3], [6, 2], [12, 1]], 65/1179648],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 2291/7962624],
[[[1, 5], [2, 6], [3, 4], [6, 1], [12, 1]], 13/3538944],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 709/2949120],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 143/589824],
[[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 25/49152],
[[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 781/2949120],
[[[1, 5], [2, 6], [4, 1], [8, 2], [12, 1]], 31/1769472],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 1/1658880],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 33641/17694720],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 5/73728],
[[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 1/55296],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 29/737280],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 437/491520],
[[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 127/1105920],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 1681/3145728],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 1/36864],
[[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 5/24576],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 109/98304],
[[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 48311/53084160],
[[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 199/1105920],
[[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 15749/141557760],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 1130003/679477248],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 13019/141557760],
[[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 3941/6635520],
[[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 7/368640],
[[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 7/368640],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 35/995328],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 23617/212336640],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 461/1990656],
[[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 323/11796480],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 1061/2359296],
[[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 1726753/4529848320],
[[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 707/11796480],
[[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 6289/79626240],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 5981687/13589544960],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 1/207360],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 39/655360],
[[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 5/165888],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 1/622080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 5/36864],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 9503/31850496],
[[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 10499/141557760],
[[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 1/1179648],
[[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 323/39813120],
[[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 431/2654208],
[[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 17/221184],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 19/138240],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 5/82944],
[[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 1/221184],
[[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 101/5308416],
[[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 5/331776],
[[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 1/497664],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 1/92160],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 11669/70778880],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 187/10616832],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 751/17694720],
[[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 3/32768],
[[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 13/2211840],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 13823/47185920],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 91/5898240],
[[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 77/4423680],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 51/163840],
[[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 2633/53084160],
[[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 31/2211840],
[[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 707/11796480],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 650213/754974720],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 1277/11796480],
[[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 3893/26542080],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 7477/59719680],
[[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 1/20971520],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 254869/1132462080],
[[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 115117/4529848320],
[[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 7549/566231040],
[[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 11/9953280],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 10051/75497472],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 1/442368],
[[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 179/17694720],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 103/6635520],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 1579/26542080],
[[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 1517/1132462080],
[[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 1/2949120],
[[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 243947/10192158720],
[[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 59/17694720],
[[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 1/442368],
[[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 1/368640],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 19/983040],
[[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 1/983040],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 18541/566231040],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 103/2949120],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 7/983040],
[[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 7549/566231040],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 102737/754974720],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 8057/94371840],
[[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 1/276480],
[[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 1/94371840],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 233411/5096079360],
[[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 70727/163074539520],
[[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 17/6291456],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 3725509/163074539520],
[[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 1/7864320],
[[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 521/566231040],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 1069/212336640],
[[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 5969/2548039680],
[[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 17/6291456],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 57361/6039797760],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 1273/47185920],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 83269/27179089920],
[[[1, 5], [3, 1], [4, 5], [8, 1], [12, 1]], 1/73728],
[[[1, 5], [3, 2], [4, 2], [5, 1], [12, 2]], 1/11520],
[[[1, 5], [3, 2], [4, 2], [6, 2], [12, 2]], 1/331776],
[[[1, 5], [3, 2], [4, 2], [8, 2], [12, 1]], 1/110592],
[[[1, 5], [3, 3], [4, 2], [6, 2], [9, 1]], 1/110592],
[[[1, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 1/18432],
[[[1, 5], [3, 3], [5, 1], [6, 2], [9, 1]], 1/8640],
[[[1, 5], [3, 3], [5, 1], [9, 1], [12, 1]], 1/1440],
[[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [3, 5], [4, 1], [6, 2], [8, 1]], 1/442368],
[[[1, 5], [3, 5], [4, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 5], [4, 2], [5, 1], [8, 2], [12, 1]], 1/30720],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 29/2359296],
[[[1, 6], [2, 1], [3, 1], [4, 2], [12, 3]], 1/294912],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 9/262144],
[[[1, 6], [2, 1], [3, 1], [4, 4], [12, 2]], 1/36864],
[[[1, 6], [2, 1], [3, 1], [4, 6], [5, 1]], 1/3932160],
[[[1, 6], [2, 1], [3, 1], [4, 6], [8, 1]], 403/56623104],
[[[1, 6], [2, 1], [3, 1], [4, 6], [12, 1]], 1/98304],
[[[1, 6], [2, 1], [3, 1], [4, 7], [6, 1]], 11/28311552],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 1/49152],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 1/147456],
[[[1, 6], [2, 1], [3, 2], [4, 3], [12, 2]], 7/221184],
[[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 11/4718592],
[[[1, 6], [2, 1], [3, 2], [4, 5], [12, 1]], 1/55296],
[[[1, 6], [2, 1], [3, 2], [4, 6], [6, 1]], 1/7077888],
[[[1, 6], [2, 1], [3, 3], [4, 2], [12, 2]], 97/1769472],
[[[1, 6], [2, 1], [3, 3], [6, 3], [9, 1]], 1/124416],
[[[1, 6], [2, 1], [3, 4], [4, 2], [6, 3]], 13/3538944],
[[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 5/55296],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 3]], 13/276480],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/1440],
[[[1, 6], [2, 1], [3, 4], [6, 2], [9, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 1/6912],
[[[1, 6], [2, 1], [3, 4], [9, 1], [12, 1]], 1/3456],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 3]], 1/663552],
[[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 23/165888],
[[[1, 6], [2, 1], [3, 5], [4, 2], [6, 2]], 1/1769472],
[[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 1/294912],
[[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 1/1536],
[[[1, 6], [2, 1], [3, 5], [6, 2], [8, 1]], 1/442368],
[[[1, 6], [2, 1], [3, 5], [8, 1], [12, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 6], [4, 1], [6, 2]], 1/663552],
[[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 1/73728],
[[[1, 6], [2, 1], [3, 6], [4, 1], [12, 1]], 1/110592],
[[[1, 6], [2, 1], [3, 6], [4, 2], [6, 1]], 13/3538944],
[[[1, 6], [2, 1], [3, 6], [5, 1], [6, 1]], 13/276480],
[[[1, 6], [2, 1], [3, 6], [6, 1], [12, 1]], 19/165888],
[[[1, 6], [2, 1], [3, 7], [4, 1], [6, 1]], 1/663552],
[[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 3/40960],
[[[1, 6], [2, 1], [4, 1], [8, 2], [24, 1]], 1/61440],
[[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 1/262144],
[[[1, 6], [2, 1], [4, 2], [6, 1], [12, 3]], 1/8847360],
[[[1, 6], [2, 1], [4, 2], [6, 3], [12, 2]], 1/53084160],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 9/655360],
[[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 1/32768],
[[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 1/655360],
[[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 181/5898240],
[[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 1/163840],
[[[1, 6], [2, 1], [4, 5], [5, 1], [12, 1]], 3/81920],
[[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 3/65536],
[[[1, 6], [2, 1], [4, 5], [10, 1], [12, 1]], 1/245760],
[[[1, 6], [2, 1], [4, 6], [6, 1], [8, 1]], 1/3145728],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 2093/5898240],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 13301/14155776],
[[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 1/82944],
[[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 241/17694720],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 841/63700992],
[[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 442193/1132462080],
[[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 187/17694720],
[[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1195/5308416],
[[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 26087/679477248],
[[[1, 6], [2, 3], [3, 1], [6, 1], [8, 3]], 13/221184],
[[[1, 6], [2, 3], [3, 1], [6, 4], [18, 1]], 1/663552],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 871/2359296],
[[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 59/1769472],
[[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 1/2949120],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 7/1179648],
[[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 827/4718592],
[[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 1/983040],
[[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 103/884736],
[[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 31/1179648],
[[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 13/1327104],
[[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 427/6635520],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 4]], 35/884736],
[[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 1/147456],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 5/73728],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 73/2654208],
[[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 1/55296],
[[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 1/221184],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 1/1152],
[[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 1/36864],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 511/995328],
[[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 97/663552],
[[[1, 6], [2, 3], [3, 3], [6, 3], [12, 1]], 5/110592],
[[[1, 6], [2, 3], [3, 3], [9, 1], [12, 1]], 5/55296],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 223/884736],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 61/82944],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 241/1769472],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 103/138240],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 367/442368],
[[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 23/73728],
[[[1, 6], [2, 3], [3, 4], [6, 2], [12, 1]], 73/221184],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1961/5308416],
[[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 7/884736],
[[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 5/27648],
[[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 5], [6, 1], [12, 1]], 5/73728],
[[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 437/2654208],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 2699/17694720],
[[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 1/1327104],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 543/655360],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 289/7077888],
[[[1, 6], [2, 3], [4, 2], [6, 2], [12, 2]], 91/26542080],
[[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 43/81920],
[[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 15/131072],
[[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 317/2949120],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 4991/14155776],
[[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 1/82944],
[[[1, 6], [2, 3], [4, 3], [6, 3], [12, 1]], 1/497664],
[[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 443/1474560],
[[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 47/245760],
[[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 65/10616832],
[[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 49/2654208],
[[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 119/1474560],
[[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 1633/1966080],
[[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 11/245760],
[[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 187/17694720],
[[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 361619/3397386240],
[[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1/110592],
[[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 709/5308416],
[[[1, 6], [2, 3], [6, 3], [12, 1], [18, 1]], 1/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 33641/17694720],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 5/82944],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 13019/141557760],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 112931/509607936],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 1130003/679477248],
[[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 15749/141557760],
[[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 3941/6635520],
[[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 453151/1019215872],
[[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 7/368640],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 29/165888],
[[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 5/55296],
[[[1, 6], [2, 5], [3, 1], [6, 4], [12, 1]], 13/3538944],
[[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 7/368640],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 2291/7962624],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 143/589824],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 35/663552],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 1/36864],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 77/221184],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 1681/3145728],
[[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 29/737280],
[[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 5/24576],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 47729/169869312],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 95/442368],
[[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 73/663552],
[[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 59/663552],
[[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 2], [6, 3], [12, 1]], 65/1179648],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 1157/995328],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 53/746496],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 5/73728],
[[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 1/1658880],
[[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 1/55296],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 145/1327104],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 11/55296],
[[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 1/20736],
[[[1, 6], [2, 5], [3, 3], [6, 2], [12, 1]], 25/294912],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 7139/7962624],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 25/1990656],
[[[1, 6], [2, 5], [3, 4], [6, 1], [12, 1]], 169/7077888],
[[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 35/331776],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 781/2949120],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 349/1769472],
[[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 25/49152],
[[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 709/2949120],
[[[1, 6], [2, 5], [4, 1], [8, 2], [12, 1]], 31/1769472],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 52117/35389440],
[[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 7/221184],
[[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 7/497664],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 23/737280],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 109/98304],
[[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 199/1105920],
[[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 9103/28311552],
[[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 1/36864],
[[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 103/663552],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 437/491520],
[[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 48311/53084160],
[[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 127/1105920],
[[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 15749/141557760],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 826349/679477248],
[[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 11597/141557760],
[[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 6907/13271040],
[[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 7/368640],
[[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 7/368640],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 101/2985984],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 74401/212336640],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 467/1769472],
[[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 265/2359296],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 15377/21233664],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 337237/251658240],
[[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 2237/11796480],
[[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 22981/79626240],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 8262611/8153726976],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 7/207360],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 3193/21233664],
[[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 41/497664],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 779/2985984],
[[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 481/17694720],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 1399/1769472],
[[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 8953/28311552],
[[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 251/5898240],
[[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 35/663552],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 2905/5308416],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 43/414720],
[[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 185/663552],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 1/5120],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 103/497664],
[[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 1009/31850496],
[[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 6875/47775744],
[[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 1/34560],
[[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 23/331776],
[[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 19/622080],
[[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 7/497664],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 1/276480],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 9239/23592960],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 437/10616832],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 1231/17694720],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 121/327680],
[[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 7/276480],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 13271/28311552],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 11/393216],
[[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 5/82944],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 169/327680],
[[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 9899/53084160],
[[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 17/552960],
[[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 2237/11796480],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 3774703/2264924160],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 1667/11796480],
[[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 2939/8847360],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 25099/119439360],
[[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 3173/188743680],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 971173/1698693120],
[[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 884887/4529848320],
[[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 18001/283115520],
[[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 73/4976640],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 815045/1358954496],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 7/442368],
[[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 2927/53084160],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 151/6635520],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 28307/79626240],
[[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 84811/3397386240],
[[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 1/196608],
[[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 1751/8847360],
[[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 49/6635520],
[[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 1927/53084160],
[[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 7/442368],
[[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 2461/79626240],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 103/2949120],
[[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 11/589824],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 44621/566231040],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 19/983040],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 109/2949120],
[[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 1/1769472],
[[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 18001/283115520],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 997921/2264924160],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 9529/94371840],
[[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 3/10485760],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 148699/1019215872],
[[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 69923/10871635968],
[[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 1069/94371840],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 1389145/10871635968],
[[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 13/7864320],
[[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 10241/1698693120],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 1609/106168320],
[[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 53029/2548039680],
[[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 1069/94371840],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 4143/134217728],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 641/15728640],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 773563/48922361856],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 323/5898240],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 145/1572864],
[[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 3/655360],
[[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 57743/1132462080],
[[[1, 7], [2, 2], [3, 1], [4, 5], [12, 1]], 29/589824],
[[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 4177/679477248],
[[[1, 7], [2, 2], [3, 1], [6, 4], [18, 1]], 1/19906560],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 19/262144],
[[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 19/1769472],
[[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 1/983040],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 1/10616832],
[[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 77/1572864],
[[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 1/2949120],
[[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 1/32768],
[[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 7/2359296],
[[[1, 7], [2, 2], [3, 2], [6, 3], [9, 1]], 1/663552],
[[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 1/884736],
[[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 7/2654208],
[[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 1/110592],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 77/1327104],
[[[1, 7], [2, 2], [3, 3], [6, 2], [18, 1]], 107/6635520],
[[[1, 7], [2, 2], [3, 3], [9, 1], [12, 1]], 13/221184],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 3]], 91/5308416],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 13/27648],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 23/589824],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 23/46080],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 995/1990656],
[[[1, 7], [2, 2], [3, 4], [6, 2], [12, 1]], 5/110592],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 137/2654208],
[[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 1/49152],
[[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 1/24576],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/3456],
[[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 1/13824],
[[[1, 7], [2, 2], [3, 5], [6, 1], [12, 1]], 1/8192],
[[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 395/5308416],
[[[1, 7], [2, 2], [4, 1], [6, 1], [8, 3]], 89/17694720],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 473/1966080],
[[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 5/7077888],
[[[1, 7], [2, 2], [4, 2], [6, 2], [12, 2]], 1/8847360],
[[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 3/81920],
[[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 1/393216],
[[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 17/1769472],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 121/4718592],
[[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 27/327680],
[[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 41/737280],
[[[1, 7], [2, 2], [4, 4], [6, 2], [12, 1]], 5/2654208],
[[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 3/327680],
[[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 2227/17694720],
[[[1, 7], [2, 2], [4, 4], [10, 1], [12, 1]], 1/147456],
[[[1, 7], [2, 2], [4, 5], [6, 1], [8, 1]], 14429/3397386240],
[[[1, 7], [2, 2], [4, 5], [6, 1], [12, 1]], 13/1769472],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 5789/5898240],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 7493/141557760],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 35525/509607936],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 338303/377487360],
[[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 4763/141557760],
[[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 601/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 98431/566231040],
[[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 1/368640],
[[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 29/663552],
[[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 31/2488320],
[[[1, 7], [2, 4], [3, 1], [6, 4], [12, 1]], 13/106168320],
[[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 187/1966080],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 49/1990656],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 1/245760],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 11/98304],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 10063/28311552],
[[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1/81920],
[[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 67/737280],
[[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 26963/169869312],
[[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 5/49152],
[[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 41/663552],
[[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 19/663552],
[[[1, 7], [2, 4], [3, 2], [6, 3], [12, 1]], 5/589824],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 35/110592],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 23/497664],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 115/2654208],
[[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 1/552960],
[[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 1/165888],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 167/1990656],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 11/55296],
[[[1, 7], [2, 4], [3, 3], [6, 2], [12, 1]], 65/1179648],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 1963/2654208],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 29/1990656],
[[[1, 7], [2, 4], [3, 4], [6, 1], [12, 1]], 65/1769472],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 13/41472],
[[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 427/5898240],
[[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 2329/53084160],
[[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 21/163840],
[[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 211/5898240],
[[[1, 7], [2, 4], [4, 1], [8, 2], [12, 1]], 13/3538944],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 13829/35389440],
[[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 1/221184],
[[[1, 7], [2, 4], [4, 2], [6, 3], [12, 1]], 1/497664],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 463/983040],
[[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 283/2211840],
[[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 1577/28311552],
[[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 529/19906560],
[[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 139/983040],
[[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 9073/26542080],
[[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 67/2211840],
[[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 4763/141557760],
[[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 1093007/3397386240],
[[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 3299/141557760],
[[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 2051/13271040],
[[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 1/368640],
[[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 1/368640],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 7/497664],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 9239/23592960],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 6875/47775744],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 1667/11796480],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 2905/5308416],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 3774703/2264924160],
[[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 2237/11796480],
[[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 2939/8847360],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 8262611/8153726976],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 19/622080],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 3193/21233664],
[[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 23/331776],
[[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 103/497664],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 11/393216],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 1399/1769472],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 13271/28311552],
[[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 1231/17694720],
[[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 5/82944],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 15377/21233664],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 1/5120],
[[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 185/663552],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 43/414720],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 779/2985984],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 437/10616832],
[[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 1/276480],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 467/1769472],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 1/34560],
[[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 41/497664],
[[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 7/207360],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 101/2985984],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 74401/212336640],
[[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 1009/31850496],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 251/5898240],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 169/327680],
[[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 17/552960],
[[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 8953/28311552],
[[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 481/17694720],
[[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 35/663552],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 121/327680],
[[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 9899/53084160],
[[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 7/276480],
[[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 2237/11796480],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 337237/251658240],
[[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 265/2359296],
[[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 22981/79626240],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 637/2654208],
[[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 9881/113246208],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 4307393/5096079360],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 1381219/2264924160],
[[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 5011/31457280],
[[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 319/4976640],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 4308851/3397386240],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 439/6635520],
[[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 1/368640],
[[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 151/1179648],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 131/2211840],
[[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 107/8847360],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 2203/2654208],
[[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 8117/75497472],
[[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 55/1769472],
[[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 1/663552],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 1069439/1698693120],
[[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 13/245760],
[[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 1217/10616832],
[[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 439/6635520],
[[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 3403/23887872],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 413/8847360],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 67/737280],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 48097/339738624],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 149/8847360],
[[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 1/663552],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 19/184320],
[[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 7/1769472],
[[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 5011/31457280],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 1730129/2264924160],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 34513/283115520],
[[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 457/6635520],
[[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 1789/283115520],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 43871/141557760],
[[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 484741/10871635968],
[[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 4331/141557760],
[[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 1/2654208],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 72122189/163074539520],
[[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 2317/212336640],
[[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 2597/94371840],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 379/11796480],
[[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 64327/566231040],
[[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 4331/141557760],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 949609/10871635968],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 6281/141557760],
[[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 1/2654208],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 4581527/81537269760],
[[[1, 7], [3, 1], [4, 2], [6, 2], [12, 2]], 1/53084160],
[[[1, 7], [3, 1], [4, 2], [8, 2], [12, 1]], 1/442368],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 1/196608],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 11/4718592],
[[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 1/655360],
[[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 335/75497472],
[[[1, 8], [2, 1], [3, 1], [4, 5], [12, 1]], 11/1769472],
[[[1, 8], [2, 1], [3, 1], [4, 6], [6, 1]], 1/226492416],
[[[1, 8], [2, 1], [3, 2], [4, 2], [12, 2]], 11/8847360],
[[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 1/983040],
[[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 13/4718592],
[[[1, 8], [2, 1], [3, 2], [4, 5], [6, 1]], 1/7077888],
[[[1, 8], [2, 1], [3, 2], [6, 3], [9, 1]], 1/19906560],
[[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 1/884736],
[[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 1/1769472],
[[[1, 8], [2, 1], [3, 3], [6, 2], [9, 1]], 1/663552],
[[[1, 8], [2, 1], [3, 3], [9, 1], [12, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 7/82944],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 427/6635520],
[[[1, 8], [2, 1], [3, 5], [4, 1], [6, 2]], 7/5308416],
[[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 7/884736],
[[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 1/110592],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/8640],
[[[1, 8], [2, 1], [3, 5], [6, 1], [12, 1]], 13/663552],
[[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 1/331776],
[[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 11/23592960],
[[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 1/4718592],
[[[1, 8], [2, 1], [4, 4], [8, 1], [12, 1]], 49/17694720],
[[[1, 8], [2, 1], [4, 5], [6, 1], [12, 1]], 1/1769472],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 2533/11796480],
[[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 1399/47185920],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 7/56623104],
[[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 64273/377487360],
[[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 1/3145728],
[[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 277/4423680],
[[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 49523/1698693120],
[[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 1/2488320],
[[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 41/5898240],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1/81920],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 35/2654208],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 2911/28311552],
[[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 1/245760],
[[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 41/2211840],
[[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 1931/56623104],
[[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 1/49152],
[[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 91/9953280],
[[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 11/3317760],
[[[1, 8], [2, 3], [3, 2], [6, 3], [12, 1]], 1/3538944],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 1/1658880],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 7/1990656],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 7/884736],
[[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 1/552960],
[[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 7/165888],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 5/55296],
[[[1, 8], [2, 3], [3, 3], [6, 2], [12, 1]], 5/589824],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 161/884736],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 1/3981312],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 1/221184],
[[[1, 8], [2, 3], [3, 4], [6, 1], [12, 1]], 169/7077888],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 71/331776],
[[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 79/5898240],
[[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 49/53084160],
[[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 1/163840],
[[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 7/5898240],
[[[1, 8], [2, 3], [4, 1], [8, 2], [12, 1]], 1/3538944],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 311/8847360],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 41/327680],
[[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 79/2211840],
[[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 5/1179648],
[[[1, 8], [2, 3], [4, 3], [6, 2], [12, 1]], 49/19906560],
[[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 1/65536],
[[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 47/884736],
[[[1, 8], [2, 3], [4, 3], [10, 1], [12, 1]], 7/2211840],
[[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 1/3145728],
[[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 93617/3397386240],
[[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 11/829440],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 1/497664],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 11669/70778880],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 101/5308416],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 1277/11796480],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 431/2654208],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 650213/754974720],
[[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 707/11796480],
[[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 3893/26542080],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 5981687/13589544960],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 39/655360],
[[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 5/331776],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 5/82944],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 91/5898240],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 9503/31850496],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 13823/47185920],
[[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 751/17694720],
[[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 77/4423680],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 1061/2359296],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 19/138240],
[[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 17/221184],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 5/36864],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 187/10616832],
[[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 461/1990656],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 1/622080],
[[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 5/165888],
[[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 1/207360],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 35/995328],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 23617/212336640],
[[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 1/221184],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 1/1179648],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 51/163840],
[[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 31/2211840],
[[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 10499/141557760],
[[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 323/39813120],
[[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 3/32768],
[[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 2633/53084160],
[[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 13/2211840],
[[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 707/11796480],
[[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 1726753/4529848320],
[[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 323/11796480],
[[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 6289/79626240],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 3403/23887872],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 34513/283115520],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 1069439/1698693120],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 1730129/2264924160],
[[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 5011/31457280],
[[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 457/6635520],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 4308851/3397386240],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 439/6635520],
[[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 1/368640],
[[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 1217/10616832],
[[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 13/245760],
[[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 149/8847360],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 2203/2654208],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 48097/339738624],
[[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 413/8847360],
[[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 1/663552],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 4307393/5096079360],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 131/2211840],
[[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 151/1179648],
[[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 439/6635520],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 637/2654208],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 55/1769472],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 19/184320],
[[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 8117/75497472],
[[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 107/8847360],
[[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 1/663552],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 67/737280],
[[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 7/1769472],
[[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 5011/31457280],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 1381219/2264924160],
[[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 9881/113246208],
[[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 319/4976640],
[[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 9607/283115520],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 548771/1274019840],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 7074139/54358179840],
[[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 8969/141557760],
[[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 7/2654208],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 46503037/54358179840],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 4153/106168320],
[[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 53119/849346560],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 1793/35389440],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 550441/1698693120],
[[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 8969/141557760],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 2818223/18119393280],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 7019/141557760],
[[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 7/2654208],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 3982303/27179089920],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 209/11796480],
[[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 163/15728640],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 1/169869312],
[[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 139/8388608],
[[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 1/47185920],
[[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 29/4423680],
[[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 1/4718592],
[[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 1/81920],
[[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 115/9437184],
[[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 743/169869312],
[[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 1/442368],
[[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 1/3317760],
[[[1, 9], [2, 2], [3, 2], [6, 2], [18, 1]], 1/9953280],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 1/552960],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1/5971968],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 7/884736],
[[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 1/1658880],
[[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 5/663552],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 31/2488320],
[[[1, 9], [2, 2], [3, 3], [6, 2], [12, 1]], 1/3538944],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 1/1327104],
[[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 7/1990656],
[[[1, 9], [2, 2], [3, 4], [6, 1], [12, 1]], 13/3538944],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 7/165888],
[[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 1/2949120],
[[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 143/35389440],
[[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 1/47185920],
[[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 1/786432],
[[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 1/1105920],
[[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 553/23592960],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 61/31850496],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 319/3932160],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 5/524288],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 496829/2264924160],
[[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 1/262144],
[[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 301/8847360],
[[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 2208739/27179089920],
[[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 151/17694720],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 751/17694720],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 407/10616832],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 12749/141557760],
[[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 91/5898240],
[[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 31/13271040],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 373/2654208],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 19/414720],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 1/276480],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 23/995328],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 319/31850496],
[[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 1/92160],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 5939/47775744],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 1/207360],
[[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 1/331776],
[[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 1/622080],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 175/5971968],
[[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 2107/212336640],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 1/17694720],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 79/983040],
[[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 7/2211840],
[[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 49/8847360],
[[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 23/39813120],
[[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 7/983040],
[[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 3/655360],
[[[1, 9], [2, 4], [4, 2], [10, 1], [12, 1]], 1/2211840],
[[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 1/262144],
[[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 196283/4529848320],
[[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 559/79626240],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 2461/79626240],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 9529/94371840],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 1751/8847360],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 997921/2264924160],
[[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 18001/283115520],
[[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 1/46080],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 815045/1358954496],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 7/442368],
[[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 1927/53084160],
[[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 49/6635520],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 19/983040],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 28307/79626240],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 44621/566231040],
[[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 103/2949120],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 971173/1698693120],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 151/6635520],
[[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 2927/53084160],
[[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 7/442368],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 25099/119439360],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 1/196608],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 109/2949120],
[[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 84811/3397386240],
[[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 11/589824],
[[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 1/1769472],
[[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 18001/283115520],
[[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 884887/4529848320],
[[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 3173/188743680],
[[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 73/4976640],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 7019/141557760],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 550441/1698693120],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 2818223/18119393280],
[[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 8969/141557760],
[[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 7/2654208],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 46503037/54358179840],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 1793/35389440],
[[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 53119/849346560],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 4153/106168320],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 548771/1274019840],
[[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 8969/141557760],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 7074139/54358179840],
[[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 9607/283115520],
[[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 7/2654208],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 258413/1006632960],
[[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 1/3145728],
[[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 13/75497472],
[[[1, 10], [2, 1], [3, 1], [4, 5], [6, 1]], 1/113246208],
[[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 1/245760],
[[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 5/9437184],
[[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 1/28311552],
[[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 1/552960],
[[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 7/2654208],
[[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 1/3981312],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/2488320],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 1/1327104],
[[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 1/995328],
[[[1, 10], [2, 1], [3, 4], [6, 1], [12, 1]], 13/106168320],
[[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 1/11796480],
[[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 29/23592960],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 43/1310720],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 29/42467328],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 115361/4529848320],
[[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 1/3932160],
[[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 29/8847360],
[[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 229/67108864],
[[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 11/23592960],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 751/17694720],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 1/2359296],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 205/9437184],
[[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 1/1179648],
[[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 13/589824],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 1/92160],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 5/2985984],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 319/31850496],
[[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 1/276480],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 527/15925248],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 1/207360],
[[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 1/995328],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 133/5971968],
[[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 31/212336640],
[[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 1/5898240],
[[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 1/3932160],
[[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 1039/503316480],
[[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 31/79626240],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 1/368640],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 8057/94371840],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 243947/10192158720],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 102737/754974720],
[[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 7549/566231040],
[[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 1/276480],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 10051/75497472],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 1/442368],
[[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 59/17694720],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 103/2949120],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 1579/26542080],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 18541/566231040],
[[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 19/983040],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 254869/1132462080],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 103/6635520],
[[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 179/17694720],
[[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 1/442368],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 7477/59719680],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 1/2949120],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 7/983040],
[[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 1517/1132462080],
[[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 1/983040],
[[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 7549/566231040],
[[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 115117/4529848320],
[[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 1/20971520],
[[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 11/9953280],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 6281/141557760],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 64327/566231040],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 949609/10871635968],
[[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 4331/141557760],
[[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 1/2654208],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 72122189/163074539520],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 379/11796480],
[[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 2597/94371840],
[[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 2317/212336640],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 43871/141557760],
[[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 4331/141557760],
[[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 484741/10871635968],
[[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 1789/283115520],
[[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 1/2654208],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 258413/1006632960],
[[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 1/262144],
[[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 277/301989888],
[[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 1033/5435817984],
[[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 1/70778880],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 91/5898240],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 1/63700992],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 35/9437184],
[[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 1/17694720],
[[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 11/14155776],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 1/92160],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 43/10616832],
[[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 53/15925248],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 1/622080],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 13/1990656],
[[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 1/905969664],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 2717/56623104],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 1861/1132462080],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 103223/4529848320],
[[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 229/188743680],
[[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 1/3317760],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 18487/1358954496],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 1/6635520],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 103/2949120],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 37/10616832],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 5377/339738624],
[[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 1/196608],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 100109/2038431744],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 19/2211840],
[[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 5/3538944],
[[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 1/6635520],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1241/23887872],
[[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 1/679477248],
[[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 229/188743680],
[[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 4913/4529848320],
[[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 1/566231040],
[[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 1/19906560],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 641/15728640],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 53029/2548039680],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 4143/134217728],
[[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 1069/94371840],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 1389145/10871635968],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 1609/106168320],
[[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 10241/1698693120],
[[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 13/7864320],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 148699/1019215872],
[[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 1069/94371840],
[[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 69923/10871635968],
[[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 3/10485760],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 3982303/27179089920],
[[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 1/3932160],
[[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 1/33554432],
[[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 1/1811939328],
[[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 1/1179648],
[[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 7/28311552],
[[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 1/42467328],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 1/276480],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 5/10616832],
[[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 1/10616832],
[[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 1/5971968],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 7549/566231040],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 11/679477248],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 739/301989888],
[[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 1/20971520],
[[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 2189/2264924160],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 19/983040],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 5/31850496],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 3229/679477248],
[[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 1/2949120],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 16123/3397386240],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 1/442368],
[[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 1/10616832],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 287/23887872],
[[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 1/20971520],
[[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 7/905969664],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 1273/47185920],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 5969/2548039680],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 57361/6039797760],
[[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 17/6291456],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 3725509/163074539520],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 1069/212336640],
[[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 521/566231040],
[[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 1/7864320],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 233411/5096079360],
[[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 17/6291456],
[[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 70727/163074539520],
[[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 1/94371840],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 4581527/81537269760],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 229/188743680],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 1/2038431744],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 7/33554432],
[[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 1/566231040],
[[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 1/37748736],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 1/196608],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 133/226492416],
[[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 287/1132462080],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 1/6635520],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 7/7962624],
[[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 1/566231040],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 1069/94371840],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 17/113246208],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 25123/10871635968],
[[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 3/10485760],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 87155/32614907904],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 17/14155776],
[[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 1/12582912],
[[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 1/212336640],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 22921/2548039680],
[[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 3/10485760],
[[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 271/10871635968],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 773563/48922361856],
[[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 1/20971520],
[[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 7/905969664],
[[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 1/1358954496],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 1/2949120],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 1/25165824],
[[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 1/339738624],
[[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 1/47775744],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 17/6291456],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 5/1019215872],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 10459/32614907904],
[[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 1/94371840],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 2011/10871635968],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 1/7864320],
[[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 1/339738624],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 2317/2548039680],
[[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 1/94371840],
[[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 13/10871635968],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 83269/27179089920],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 3/10485760],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 271/10871635968],
[[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 1063/163074539520],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 1/212336640],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 5/113246208],
[[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 1/32614907904],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 17491/48922361856],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 1/94371840],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 13/10871635968],
[[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/32614907904],
[[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 1/1019215872],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 5957/244611809280],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 1/1019215872],
[[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 1/48922361856],
[[[2, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 1/576],
[[[2, 1], [4, 3], [6, 1], [8, 1], [12, 3]], 1/6144],
[[[2, 1], [4, 3], [6, 3], [8, 1], [12, 2]], 1/36864],
[[[2, 3], [3, 2], [4, 2], [6, 3], [12, 2]], 1/82944],
[[[2, 3], [3, 2], [4, 4], [6, 1], [12, 2]], 1/294912],
[[[2, 3], [4, 1], [6, 5], [8, 1], [18, 1]], 1/13824],
[[[2, 3], [4, 2], [6, 1], [8, 2], [24, 1]], 1/2304],
[[[2, 3], [4, 2], [6, 1], [10, 1], [12, 3]], 1/3840],
[[[2, 3], [4, 2], [6, 3], [10, 1], [12, 2]], 1/23040],
[[[2, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/18432],
[[[2, 3], [4, 4], [6, 1], [8, 2], [12, 1]], 1/36864],
[[[2, 5], [3, 2], [4, 1], [6, 5], [8, 1]], 1/442368],
[[[2, 5], [3, 2], [4, 2], [6, 2], [12, 2]], 1/331776],
[[[2, 5], [3, 2], [4, 2], [6, 3], [18, 1]], 1/110592],
[[[2, 5], [3, 2], [6, 3], [10, 1], [18, 1]], 1/8640],
[[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 1/6912],
[[[2, 5], [4, 1], [6, 5], [8, 1], [12, 1]], 1/73728],
[[[2, 5], [4, 2], [6, 2], [8, 2], [12, 1]], 1/110592],
[[[2, 5], [4, 2], [6, 2], [10, 1], [12, 2]], 1/11520],
[[[2, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 1/18432],
[[[2, 5], [4, 2], [8, 2], [10, 1], [12, 1]], 1/30720],
[[[2, 5], [4, 5], [6, 1], [8, 1], [12, 1]], 1/73728],
[[[2, 5], [6, 3], [10, 1], [12, 1], [18, 1]], 1/1440],
[[[2, 7], [3, 2], [4, 2], [6, 1], [12, 2]], 1/53084160],
[[[2, 7], [4, 2], [6, 1], [8, 2], [12, 1]], 1/442368],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 4]], 7/221184],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [16, 2]], 1/4608],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 3]], 7/13824],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [12, 2]], 7/82944],
[[[1, 1], [2, 2], [3, 1], [4, 2], [8, 3], [12, 1]], 1/18432],
[[[1, 1], [2, 2], [3, 1], [4, 2], [10, 1], [12, 3]], 1/3840],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 3]], 1/9216],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 3], [12, 2]], 1/55296],
[[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [12, 2]], 1/294912],
[[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [12, 2]], 1/6912],
[[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 2]], 1/884736],
[[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [12, 2]], 1/55296],
[[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [12, 2]], 1/147456],
[[[1, 1], [2, 2], [3, 3], [4, 2], [6, 2], [12, 2]], 7/82944],
[[[1, 1], [2, 2], [3, 3], [4, 2], [10, 1], [12, 2]], 1/23040],
[[[1, 1], [2, 2], [3, 3], [4, 3], [6, 1], [12, 2]], 1/55296],
[[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [24, 1]], 1/960],
[[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [24, 1]], 1/960],
[[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [24, 1]], 1/576],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 3]], 1/6144],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [24, 1]], 1/2304],
[[[1, 1], [2, 2], [4, 2], [6, 1], [8, 3], [12, 1]], 1/18432],
[[[1, 1], [2, 2], [4, 2], [6, 3], [8, 1], [12, 2]], 1/36864],
[[[1, 1], [2, 2], [4, 3], [5, 1], [8, 2], [12, 1]], 1/15360],
[[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [12, 2]], 1/6144],
[[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 1/256],
[[[1, 1], [2, 2], [4, 3], [8, 2], [10, 1], [12, 1]], 1/15360],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 2], [4, 6], [6, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [12, 2]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [8, 1]], 13/442368],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [24, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 3]], 1/49152],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 3]], 1/55296],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [12, 2]], 1/4096],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 4], [18, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 35/221184],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 4], [12, 1]], 1/49152],
[[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [12, 1]], 13/221184],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 1/589824],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [12, 2]], 11/110592],
[[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [8, 1]], 1/589824],
[[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [12, 1]], 1/221184],
[[[1, 1], [2, 4], [3, 1], [6, 4], [10, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [18, 1]], 7/5184],
[[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [12, 2]], 1/55296],
[[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [18, 1]], 1/55296],
[[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [12, 2]], 7/442368],
[[[1, 1], [2, 4], [3, 2], [6, 3], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [8, 1]], 13/442368],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [12, 1]], 1/13824],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [12, 2]], 1/331776],
[[[1, 1], [2, 4], [3, 3], [4, 2], [6, 2], [18, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 3], [4, 3], [6, 2], [12, 1]], 1/49152],
[[[1, 1], [2, 4], [3, 3], [6, 2], [10, 1], [18, 1]], 1/8640],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 1/2304],
[[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [12, 2]], 1/3840],
[[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1024],
[[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 7/73728],
[[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 1], [2, 4], [4, 4], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 1/24576],
[[[1, 1], [2, 4], [6, 3], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [12, 2]], 1/9216],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 1/10368],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 1/13824],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 19/110592],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [12, 2]], 427/17694720],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/13824],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 13/589824],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 5/1179648],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 1/24576],
[[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [12, 1]], 1/98304],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 5/442368],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/1080],
[[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [18, 1]], 1/20736],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 1], [12, 1]], 13/46080],
[[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [18, 1]], 7/165888],
[[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [12, 2]], 1/1769472],
[[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [12, 1]], 1/55296],
[[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 7/27648],
[[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 1/49152],
[[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 1/18432],
[[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 1/5120],
[[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [12, 1]], 29/884736],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [12, 2]], 1/1474560],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 107/2949120],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [12, 2]], 1/6635520],
[[[1, 1], [2, 8], [3, 1], [6, 2], [12, 1], [18, 1]], 1/3317760],
[[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [12, 1]], 1/8847360],
[[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 1/73728],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 1/4423680],
[[[1, 1], [3, 1], [4, 3], [6, 2], [8, 1], [12, 2]], 1/36864],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 4]], 7/221184],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [16, 2]], 1/4608],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 3]], 1/6144],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [24, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 2], [8, 3], [12, 1]], 1/18432],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 3]], 1/9216],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 3], [12, 2]], 1/55296],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [12, 2]], 1/147456],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 1], [3, 1], [4, 4], [8, 2], [12, 1]], 1/36864],
[[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 2]], 1/884736],
[[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 3]], 7/13824],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [12, 2]], 7/82944],
[[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [12, 2]], 1/55296],
[[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [12, 2]], 1/6144],
[[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [12, 2]], 1/294912],
[[[1, 2], [2, 1], [3, 3], [4, 2], [8, 1], [12, 2]], 1/36864],
[[[1, 2], [2, 1], [3, 3], [4, 3], [6, 1], [12, 2]], 1/55296],
[[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [12, 2]], 7/82944],
[[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [24, 1]], 1/960],
[[[1, 2], [2, 1], [4, 1], [8, 2], [10, 1], [24, 1]], 1/960],
[[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [24, 1]], 1/576],
[[[1, 2], [2, 1], [4, 2], [5, 1], [6, 1], [12, 3]], 1/3840],
[[[1, 2], [2, 1], [4, 2], [5, 1], [6, 3], [12, 2]], 1/23040],
[[[1, 2], [2, 1], [4, 2], [6, 1], [8, 3], [12, 1]], 1/18432],
[[[1, 2], [2, 1], [4, 3], [5, 1], [8, 2], [12, 1]], 1/15360],
[[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 1/256],
[[[1, 2], [2, 1], [4, 3], [8, 2], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 1], [4, 6], [6, 1], [8, 1], [12, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 3]], 1/55296],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [24, 1]], 7/13824],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [12, 1]], 1/18432],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 49/147456],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 3]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [12, 2]], 401/331776],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [18, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 227/442368],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 4], [12, 1]], 1/24576],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 115/221184],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 43/1769472],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 707/331776],
[[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [8, 1]], 1/368640],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 1/663552],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 5/1769472],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 49/663552],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [24, 1]], 1/1728],
[[[1, 2], [2, 3], [3, 1], [6, 4], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 3]], 1/55296],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 7/2304],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [8, 1]], 5/73728],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 7/13824],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 443/331776],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [9, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [18, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 4], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 2], [2, 3], [3, 2], [4, 2], [10, 1], [12, 2]], 1/3840],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 17/55296],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [12, 1]], 1/49152],
[[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [8, 1]], 1/663552],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [18, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 2], [6, 3], [9, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 3], [3, 2], [6, 3], [9, 1], [12, 1]], 1/5184],
[[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [18, 1]], 7/5184],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [12, 2]], 1/36864],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [18, 1]], 1/55296],
[[[1, 2], [2, 3], [3, 3], [4, 2], [6, 3], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 3], [4, 3], [6, 2], [12, 1]], 1/24576],
[[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [18, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [8, 1]], 5/73728],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 7/13824],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 1], [9, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 4], [4, 2], [6, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 4], [4, 3], [6, 1], [12, 1]], 1/49152],
[[[1, 2], [2, 3], [3, 4], [6, 1], [9, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 3]], 1/30720],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [24, 1]], 5/4608],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [12, 1]], 1/18432],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [12, 2]], 1/11520],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 3/1280],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [12, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 1/6144],
[[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 5/110592],
[[[1, 2], [2, 3], [4, 2], [6, 3], [12, 1], [18, 1]], 1/18432],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 3/1280],
[[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/256],
[[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 1/1024],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 41/73728],
[[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [12, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 19/110592],
[[[1, 2], [2, 3], [5, 1], [6, 3], [12, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 89/442368],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [12, 2]], 1/1536],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 119/165888],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 5/27648],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 73/110592],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/122880],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 1/24576],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 4019/5308416],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 1/4608],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 35/98304],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 1/6144],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 1/122880],
[[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 25/442368],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 185/1179648],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 7/55296],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 5/24576],
[[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 13/27648],
[[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 205/884736],
[[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 797/21233664],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 41/442368],
[[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 1/1728],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/1080],
[[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [12, 1]], 13/73728],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [12, 2]], 1/9216],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 41/82944],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 23/73728],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 175/110592],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 1/110592],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 77/3538944],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [9, 1]], 1/55296],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 1/18432],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 79/294912],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 1/6144],
[[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [12, 1]], 5/331776],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1/41472],
[[[1, 2], [2, 5], [3, 2], [6, 2], [9, 1], [10, 1]], 1/4320],
[[[1, 2], [2, 5], [3, 2], [6, 2], [9, 1], [12, 1]], 1/20736],
[[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 1/1440],
[[[1, 2], [2, 5], [3, 2], [6, 3], [10, 1], [12, 1]], 1/1536],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [18, 1]], 7/165888],
[[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 7/73728],
[[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [12, 1]], 1/55296],
[[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 1/1536],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 1/122880],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 3/2048],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 25/221184],
[[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 25/110592],
[[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 29/46080],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 281/884736],
[[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [12, 2]], 1/49152],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 7/20736],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 191/442368],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 13/589824],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 31/6635520],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 71/331776],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 13/884736],
[[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 89/6635520],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 5/196608],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 1/294912],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 11/221184],
[[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [18, 1]], 1/110592],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [12, 2]], 1/1474560],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 427/2949120],
[[[1, 2], [2, 7], [3, 2], [6, 1], [9, 1], [12, 1]], 1/3317760],
[[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [12, 1]], 1/294912],
[[[1, 2], [2, 7], [3, 4], [4, 1], [6, 1], [12, 1]], 1/8847360],
[[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 323/2211840],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 1/995328],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 11/1474560],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 1/552960],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 1/165888],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 25/14155776],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 1/1105920],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 1/10616832],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 1/8847360],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 1/26542080],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 1/339738624],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 3]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 3]], 1/55296],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [24, 1]], 5/4608],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [12, 1]], 1/18432],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 49/147456],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 3]], 1/6144],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [12, 2]], 1/36864],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 4], [18, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 17/55296],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [12, 1]], 1/49152],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [12, 2]], 1/6912],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 1/1024],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 41/73728],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 43/1769472],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 707/331776],
[[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 1/368640],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [8, 1]], 1/663552],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [10, 1]], 1/368640],
[[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 19/110592],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 5/1769472],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 49/663552],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 4], [18, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [24, 1]], 1/1728],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 3]], 1/55296],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 443/331776],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [9, 1]], 1/55296],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 4], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 1/6144],
[[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 5/110592],
[[[1, 3], [2, 2], [3, 2], [4, 2], [10, 1], [12, 2]], 1/11520],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 227/442368],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 3], [12, 1]], 1/24576],
[[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [8, 1]], 1/663552],
[[[1, 3], [2, 2], [3, 2], [6, 3], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 7/2304],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [8, 1]], 5/73728],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 7/13824],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [12, 2]], 401/331776],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [9, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [18, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 3], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 3], [4, 2], [9, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [12, 1]], 1/49152],
[[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [18, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 7/5184],
[[[1, 3], [2, 2], [3, 3], [6, 2], [12, 1], [18, 1]], 1/5184],
[[[1, 3], [2, 2], [3, 3], [9, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [9, 1]], 1/55296],
[[[1, 3], [2, 2], [3, 4], [4, 2], [6, 2], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 4], [4, 3], [6, 1], [12, 1]], 1/24576],
[[[1, 3], [2, 2], [3, 4], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [9, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [8, 1]], 5/73728],
[[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 7/13824],
[[[1, 3], [2, 2], [3, 5], [4, 2], [6, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 3]], 1/30720],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [24, 1]], 7/13824],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [10, 1]], 1/30720],
[[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [12, 1]], 1/18432],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [12, 2]], 1/3840],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 3/1280],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 1/6144],
[[[1, 3], [2, 2], [4, 2], [6, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 3/1280],
[[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/256],
[[[1, 3], [2, 2], [4, 2], [8, 2], [10, 1], [12, 1]], 1/10240],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 1/6912],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 115/221184],
[[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 1/10240],
[[[1, 3], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 1/10240],
[[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 395/442368],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [12, 2]], 1/3072],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 41/82944],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 1/18432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 9/40960],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 35/221184],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 2095/1179648],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 1/4608],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 541/589824],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 7/6144],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 9/40960],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 241/442368],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1271/1769472],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 379/165888],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 599/1990656],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 13/368640],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 41/82944],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 13/368640],
[[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 407/442368],
[[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 1/552960],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 1943/21233664],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 1/552960],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 781/663552],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 1/1080],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [12, 1]], 13/46080],
[[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [12, 2]], 1/1024],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 23/165888],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 119/165888],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 103/221184],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 25/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 7/55296],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 2023/2654208],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 5/55296],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 7/55296],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 253/147456],
[[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 547/497664],
[[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 77/331776],
[[[1, 3], [2, 4], [3, 2], [4, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 1/41472],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [12, 1]], 5/12288],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 1/165888],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 1/10368],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 11/27648],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 5/9216],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 121/27648],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 343/294912],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 275/1990656],
[[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 1/1080],
[[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 4], [3, 3], [6, 2], [10, 1], [12, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [9, 1]], 7/165888],
[[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [12, 1]], 1/6144],
[[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [12, 1]], 7/73728],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 1/92160],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 3/1280],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 1/55296],
[[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 7/27648],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 3/1280],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 9/40960],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 5/2048],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 9/40960],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 43/73728],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 17/46080],
[[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 43/110592],
[[[1, 3], [2, 4], [4, 3], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 7/9216],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 13/368640],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 13/368640],
[[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 145/147456],
[[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 5/49152],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [12, 2]], 13/98304],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 25/20736],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 617/589824],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 1/221184],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1537/1769472],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 5/147456],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 125/110592],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 1/20480],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 37/294912],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 43/55296],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 1679/6635520],
[[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 7097/21233664],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/98304],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 295/663552],
[[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 13/221184],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 79/1327104],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [12, 2]], 1/49152],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 7/82944],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 7/27648],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1205/884736],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 1/18432],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 25/27648],
[[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 5/331776],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 1/18432],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 91/497664],
[[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [12, 1]], 1/110592],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 77/589824],
[[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [12, 1]], 1/294912],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 1/221184],
[[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 1/36864],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 1/20480],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1313/2211840],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 559/17694720],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 19/331776],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 19/294912],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1/24576],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1/184320],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 1/18432],
[[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 43/13271040],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 1/245760],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 389/4718592],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 11/245760],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 121/1658880],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 31/1105920],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 1/98304],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 1/1474560],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 7/1474560],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 53/3538944],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 1/92160],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 77/23592960],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1/589824],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 11/8847360],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 31/188743680],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1/1474560],
[[[1, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/23040],
[[[1, 3], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 3], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [24, 1]], 1/1536],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 1/49152],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 3]], 1/55296],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [12, 2]], 1/331776],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [12, 2]], 7/442368],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/1024],
[[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 7/73728],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 1/589824],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 11/110592],
[[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 1/24576],
[[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [8, 1]], 1/589824],
[[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [12, 1]], 1/221184],
[[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [12, 2]], 1/3840],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [12, 2]], 1/55296],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 3], [9, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [12, 2]], 1/18432],
[[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 1/36864],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 35/221184],
[[[1, 4], [2, 1], [3, 2], [4, 3], [6, 3], [12, 1]], 1/49152],
[[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [12, 1]], 1/27648],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 3], [9, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [12, 2]], 1/4096],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [9, 1]], 1/55296],
[[[1, 4], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 3], [6, 2], [8, 1], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 3], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 1/2304],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [8, 1]], 13/442368],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 1/2304],
[[[1, 4], [2, 1], [3, 4], [4, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 4], [4, 2], [6, 1], [9, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 4], [4, 3], [6, 1], [12, 1]], 1/49152],
[[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [9, 1]], 1/8640],
[[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 7/5184],
[[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [9, 1]], 1/20736],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [8, 1]], 13/442368],
[[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 1/13824],
[[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 1/10240],
[[[1, 4], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 13/221184],
[[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/30720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 395/442368],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 1/165888],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 7/165888],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 9/40960],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 7/55296],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 2023/2654208],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 7/73728],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 5/2048],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 9/40960],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 43/73728],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1271/1769472],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 379/165888],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 275/1990656],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 13/368640],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 13/368640],
[[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 145/147456],
[[[1, 4], [2, 3], [3, 1], [4, 4], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 1/552960],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 1943/21233664],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 1/552960],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 781/663552],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 1/1080],
[[[1, 4], [2, 3], [3, 1], [6, 3], [12, 1], [18, 1]], 1/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [12, 2]], 1/1024],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 11/27648],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 1/55296],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 35/221184],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 2095/1179648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 7/55296],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 5/55296],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 343/294912],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 547/497664],
[[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 43/110592],
[[[1, 4], [2, 3], [3, 2], [4, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 1/41472],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 41/82944],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [12, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 1/165888],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [12, 2]], 1/3072],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 119/165888],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 23/165888],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 5/9216],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 121/27648],
[[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [12, 1]], 7/27648],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 253/147456],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 599/1990656],
[[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 1/1080],
[[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [12, 1]], 5/12288],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 41/82944],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 103/221184],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 25/6912],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 541/589824],
[[[1, 4], [2, 3], [3, 4], [6, 1], [10, 1], [12, 1]], 13/46080],
[[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 1/92160],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 3/1280],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [10, 1]], 1/92160],
[[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [12, 1]], 1/55296],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 3/1280],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 9/40960],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 7/6144],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 9/40960],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 241/442368],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 7/9216],
[[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 77/331776],
[[[1, 4], [2, 3], [4, 3], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 17/46080],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 13/368640],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 13/368640],
[[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 407/442368],
[[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 11/46080],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 155/442368],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [12, 2]], 5/24576],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 25/20736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 409/884736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 7/6144],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 11/46080],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 7/221184],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 143/49152],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 11/147456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/13824],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1783/995328],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 263/884736],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 239/165888],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 727/663552],
[[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 119/4423680],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 24527/21233664],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 149/4423680],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 73/27648],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 11/92160],
[[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 17/92160],
[[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 5/55296],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 409/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [12, 2]], 13/98304],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 13/27648],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 61/82944],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 487/196608],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6144],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 959/248832],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 59/331776],
[[[1, 4], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 71/294912],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 421/497664],
[[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [12, 1]], 13/221184],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 7/20736],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 1/20736],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 77/55296],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 1/27648],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 655/995328],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 13/589824],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 11/46080],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 3/2048],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 11/46080],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 7/221184],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 7/92160],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 7/36864],
[[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 7/92160],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 7/30720],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 437/331776],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 297/655360],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 19/82944],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 59/294912],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 13/552960],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 169/442368],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 1/36864],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 71/165888],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 823/13271040],
[[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 1/49152],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 1265/1572864],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 7/49152],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 119/184320],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 101/221184],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 5/24576],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 1/46080],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 209/884736],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 13/552960],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 19/124416],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 5/331776],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 91/4423680],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 107/1474560],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 311/1966080],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 61/8847360],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 9817/70778880],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 17/196608],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 47/2211840],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 239/17694720],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 2953/566231040],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 1/98304],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 89/442368],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/122880],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/110592],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 77/3538944],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 3/2048],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/122880],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 25/221184],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 185/1179648],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 7/55296],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1/41472],
[[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 281/884736],
[[[1, 5], [2, 2], [3, 1], [4, 4], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 797/21233664],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 41/442368],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [12, 2]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 7/165888],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 1/24576],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 4019/5308416],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 1/18432],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 7/73728],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 25/110592],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 13/27648],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 1/1440],
[[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [18, 1]], 1/4320],
[[[1, 5], [2, 2], [3, 2], [6, 2], [12, 1], [18, 1]], 1/20736],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [12, 2]], 1/1536],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 41/82944],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 1/1536],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/4608],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 79/294912],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 5/24576],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/1080],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [12, 1]], 1/1536],
[[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 1/1728],
[[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 119/165888],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 23/73728],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 175/110592],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 35/98304],
[[[1, 5], [2, 2], [3, 4], [6, 1], [8, 1], [12, 1]], 13/73728],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 5/27648],
[[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 73/110592],
[[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/122880],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/122880],
[[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 25/442368],
[[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 29/46080],
[[[1, 5], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 5/331776],
[[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 205/884736],
[[[1, 5], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 11/46080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 409/1327104],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [12, 2]], 13/98304],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 7/20736],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 13/589824],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 3/2048],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 11/46080],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 7/221184],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 143/49152],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 11/147456],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/27648],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 655/995328],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 71/294912],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 421/497664],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 437/331776],
[[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 149/4423680],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 24527/21233664],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 119/4423680],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 73/27648],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 17/92160],
[[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 11/92160],
[[[1, 5], [2, 4], [3, 1], [6, 2], [12, 1], [18, 1]], 13/221184],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 155/442368],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [12, 2]], 5/24576],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 61/82944],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 13/27648],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 77/55296],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 959/248832],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 7/36864],
[[[1, 5], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 263/884736],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 239/165888],
[[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [12, 1]], 5/55296],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 25/20736],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/20736],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 487/196608],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1783/995328],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 409/884736],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 11/46080],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 7/6144],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 11/46080],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 7/221184],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 7/92160],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 59/331776],
[[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 1/34560],
[[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 7/92160],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 7/30720],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 727/663552],
[[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 1/8640],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 7303/5308416],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 79/248832],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 785/2654208],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 13/184320],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 7/20480],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 871/884736],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 37/552960],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 181/165888],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 7/20480],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 473/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 5/36864],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 33487/14155776],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/4608],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1171/497664],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 941/663552],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 361/663552],
[[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 1/15360],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 769/884736],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 13/184320],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 215/248832],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/34560],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 53/331776],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 497/2654208],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 7/20480],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 7/20480],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 485/1327104],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 11/276480],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 1/61440],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 29507/53084160],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 17/276480],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1/82944],
[[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 137/2949120],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 75647/70778880],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 2443/8847360],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 1163/6635520],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 1/92160],
[[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 1/34560],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 9427/53084160],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 11/276480],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 1/82944],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 1/61440],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 17/4423680],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 95441/1698693120],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 329/4423680],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1327104],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [12, 2]], 1/1769472],
[[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/49152],
[[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 5/1179648],
[[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 29/884736],
[[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 5/442368],
[[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [12, 2]], 427/17694720],
[[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [12, 2]], 1/9216],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 7/165888],
[[[1, 6], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 1/55296],
[[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 7/27648],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/24576],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/1080],
[[[1, 6], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 1/20736],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 1/10368],
[[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 13/589824],
[[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [12, 1]], 13/46080],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 1/13824],
[[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 19/110592],
[[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/5120],
[[[1, 6], [2, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/98304],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 79/1327104],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [12, 2]], 1/49152],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 1/294912],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 1/221184],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1537/1769472],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 5/147456],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/20480],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 91/497664],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/20480],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 1313/2211840],
[[[1, 6], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 1/98304],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 7097/21233664],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 295/663552],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 1/10240],
[[[1, 6], [2, 3], [3, 1], [6, 2], [12, 1], [18, 1]], 1/110592],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 5/49152],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [12, 2]], 13/98304],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 7/27648],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 7/82944],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 77/589824],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 25/27648],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 37/294912],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 43/55296],
[[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 13/221184],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 25/20736],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 1205/884736],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 125/110592],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 617/589824],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/92160],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/92160],
[[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 1/221184],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 5/331776],
[[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/92160],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/20480],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 1/20480],
[[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1679/6635520],
[[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/34560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 7303/5308416],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 53/331776],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/34560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 497/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 13/184320],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 7/20480],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 7/138240],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 769/884736],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 1/15360],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 215/248832],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 7/20480],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 485/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 7/138240],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 1/4608],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 33487/14155776],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 5/36864],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 1171/497664],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/15360],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 941/663552],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 361/663552],
[[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 37/552960],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 871/884736],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 13/184320],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 181/165888],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/34560],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 79/248832],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 785/2654208],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/15360],
[[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 7/20480],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 7/138240],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 7/20480],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 473/1327104],
[[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 7/138240],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 41/276480],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 11/73728],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 3445/3538944],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 7/55296],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 7/82944],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 11/73728],
[[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 1/221184],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 691/2949120],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 20969/7864320],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 683/1769472],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 4489/7962624],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 7/92160],
[[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 7/92160],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 1/8640],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 7697/10616832],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 41/276480],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 7/82944],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 11/73728],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 11/73728],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 1/221184],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 179/4423680],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 88343/283115520],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 175/884736],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 13/1327104],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2]], 1/1474560],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 1/8847360],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 13/589824],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 31/6635520],
[[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 323/2211840],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 1/294912],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 5/196608],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 11/221184],
[[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 1/30720],
[[[1, 7], [2, 2], [3, 1], [6, 2], [12, 1], [18, 1]], 1/3317760],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2]], 1/49152],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 1/294912],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 13/884736],
[[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 1/110592],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 7/20736],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 427/2949120],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 71/331776],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 191/442368],
[[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 89/6635520],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 297/655360],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 5/331776],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 91/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 13/552960],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1/15360],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 209/884736],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/46080],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 19/124416],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 107/1474560],
[[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 7/49152],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1265/1572864],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 1/49152],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 119/184320],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 101/221184],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 5/24576],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 1/36864],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 169/442368],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 13/552960],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 71/165888],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 19/82944],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 59/294912],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 823/13271040],
[[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/138240],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 41/276480],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 11/73728],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 7697/10616832],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 7/82944],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 11/73728],
[[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 1/221184],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 683/1769472],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 20969/7864320],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 691/2949120],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 4489/7962624],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 7/92160],
[[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 7/92160],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 7/55296],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 3445/3538944],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 41/276480],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 7/82944],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 11/73728],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 11/73728],
[[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 1/221184],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 29/163840],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 654871/849346560],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 403/1474560],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 1/24576],
[[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [12, 2]], 1/6635520],
[[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/73728],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2]], 1/1474560],
[[[1, 8], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 1/8847360],
[[[1, 8], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 107/2949120],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 559/17694720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 1/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 1/98304],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 7/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 11/245760],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 389/4718592],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 1/245760],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 121/1658880],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 31/1105920],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 1/184320],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1/24576],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 1/18432],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 19/331776],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 19/294912],
[[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 43/13271040],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 11/276480],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1/61440],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 9427/53084160],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 1/34560],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 1/82944],
[[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 2443/8847360],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 75647/70778880],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 137/2949120],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 1163/6635520],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1/92160],
[[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 17/276480],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 29507/53084160],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 11/276480],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 1/82944],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1/61440],
[[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/61440],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 403/1474560],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 654871/849346560],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 29/163840],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 1/24576],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 25/14155776],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/1105920],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1/552960],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 1/165888],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 1/995328],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 11/1474560],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 239/17694720],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 17/196608],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 9817/70778880],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 61/8847360],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 47/2211840],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 1/30720],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 311/1966080],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 175/884736],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 88343/283115520],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 179/4423680],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 13/1327104],
[[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/4423680],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 1/589824],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 77/23592960],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 11/8847360],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 1/92160],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 53/3538944],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 329/4423680],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 95441/1698693120],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 17/4423680],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1327104],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 1/8847360],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/26542080],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 1/10616832],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 1/98304],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 2953/566231040],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1/1474560],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 31/188743680],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 1/339738624],
[[[2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 1/36864],
[[[2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 1/13824],
[[[2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/23040],
[[[2, 3], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 1/1728],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/1024],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [12, 2]], 1/23040],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/27648],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/36864],
[[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [18, 1]], 1/13824],
[[[1, 1], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 1/6144],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/640],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/1728],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3456],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 13/73728],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2880],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/3072],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/1440],
[[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/3840],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/1920],
[[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 1/1728],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/36864],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/27648],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [9, 1]], 1/13824],
[[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 1/23040],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/1024],
[[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [9, 1]], 1/13824],
[[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1/1024],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/1728],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 19/55296],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2880],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/1024],
[[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 5/55296],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/640],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 5/12288],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/18432],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/768],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/20736],
[[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6144],
[[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 7/27648],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/3072],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 1/640],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 143/165888],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/480],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/640],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/2880],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/4608],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 19/55296],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/18432],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 5/55296],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/1440],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1/1024],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/768],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/20736],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/1728],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 5/12288],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1024],
[[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6144],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/1024],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/5184],
[[[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], [12, 1]], 19/17280],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 461/165888],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 19/17280],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 7/27648],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/768],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/480],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/640],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 83/165888],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/5120],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/2880],
[[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/640],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/18432],
[[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/1728],
[[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 1/3456],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 13/73728],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/640],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 7/27648],
[[[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]], 1/5184],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 19/17280],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 461/165888],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 19/17280],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/480],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/1536],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/768],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/5184],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1024],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 41/34560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 305/165888],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 47/34560],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/23040],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 29/46080],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 143/165888],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/480],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 7/27648],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/640],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 47/34560],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 7/30720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 305/165888],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 41/34560],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 41/46080],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/55296],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1920],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 83/165888],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 41/46080],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23/46080],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 7/55296],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 29/46080],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5120],
[[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/2304]
]}