{[
[[[1, 23]], 1/28179280429056000],
[[[2, 23]], 1/28179280429056000],
[[[1, 1], [2, 22]], 103/28179280429056000],
[[[1, 2], [2, 21]], 299/1878618695270400],
[[[1, 3], [2, 20]], 7229/1878618695270400],
[[[1, 3], [4, 10]], 1/283115520],
[[[1, 4], [2, 19]], 1615423/28179280429056000],
[[[1, 5], [2, 18]], 15645241/28179280429056000],
[[[1, 6], [2, 17]], 33934081/9393093476352000],
[[[1, 7], [2, 16]], 152179543/9393093476352000],
[[[1, 7], [4, 8]], 61/18119393280],
[[[1, 8], [2, 15]], 16116169/313103115878400],
[[[1, 9], [2, 14]], 37713631/313103115878400],
[[[1, 9], [3, 7]], 101/67184640],
[[[1, 10], [2, 13]], 1021189139/4696546738176000],
[[[1, 11], [2, 12]], 1426957973/4696546738176000],
[[[1, 11], [3, 6]], 581/2149908480],
[[[1, 11], [4, 6]], 1/4026531840],
[[[1, 11], [5, 3]], 1/2304000],
[[[1, 12], [2, 11]], 1426957973/4696546738176000],
[[[1, 13], [2, 10]], 1021189139/4696546738176000],
[[[1, 13], [3, 5]], 23/358318080],
[[[1, 14], [2, 9]], 37713631/313103115878400],
[[[1, 15], [2, 8]], 16116169/313103115878400],
[[[1, 15], [3, 4]], 491/68797071360],
[[[1, 15], [4, 4]], 1/271790899200],
[[[1, 15], [5, 2]], 1/1769472000],
[[[1, 16], [2, 7]], 152179543/9393093476352000],
[[[1, 17], [2, 6]], 33934081/9393093476352000],
[[[1, 17], [3, 3]], 353/1375941427200],
[[[1, 18], [2, 5]], 15645241/28179280429056000],
[[[1, 19], [2, 4]], 1615423/28179280429056000],
[[[1, 19], [3, 2]], 49/14676708556800],
[[[1, 19], [4, 2]], 23/1174136684544000],
[[[1, 19], [5, 1]], 1/4076863488000],
[[[1, 20], [2, 3]], 7229/1878618695270400],
[[[1, 21], [2, 2]], 299/1878618695270400],
[[[1, 21], [3, 1]], 1/55037657088000],
[[[1, 22], [2, 1]], 103/28179280429056000],
[[[2, 3], [4, 10]], 1/283115520],
[[[2, 7], [4, 8]], 61/18119393280],
[[[2, 9], [6, 7]], 101/67184640],
[[[2, 11], [4, 6]], 1/4026531840],
[[[2, 11], [6, 6]], 581/2149908480],
[[[2, 11], [10, 3]], 1/2304000],
[[[2, 13], [6, 5]], 23/358318080],
[[[2, 15], [4, 4]], 1/271790899200],
[[[2, 15], [6, 4]], 491/68797071360],
[[[2, 15], [10, 2]], 1/1769472000],
[[[2, 17], [6, 3]], 353/1375941427200],
[[[2, 19], [4, 2]], 23/1174136684544000],
[[[2, 19], [6, 2]], 49/14676708556800],
[[[2, 19], [10, 1]], 1/4076863488000],
[[[2, 21], [6, 1]], 1/55037657088000],
[[[1, 1], [2, 2], [4, 10]], 1/94371840],
[[[1, 1], [2, 4], [4, 9]], 17/106168320],
[[[1, 1], [2, 6], [4, 8]], 37/1207959552],
[[[1, 1], [2, 8], [4, 7]], 5207/67947724800],
[[[1, 1], [2, 8], [6, 7]], 101/67184640],
[[[1, 1], [2, 10], [4, 6]], 13/2415919104],
[[[1, 1], [2, 10], [6, 6]], 4673/2149908480],
[[[1, 1], [2, 10], [10, 3]], 13/2304000],
[[[1, 1], [2, 12], [4, 5]], 1/283115520],
[[[1, 1], [2, 12], [6, 5]], 323/358318080],
[[[1, 1], [2, 14], [4, 4]], 1/5662310400],
[[[1, 1], [2, 14], [6, 4]], 2197/13759414272],
[[[1, 1], [2, 14], [10, 2]], 43/1769472000],
[[[1, 1], [2, 16], [4, 3]], 113/3261490790400],
[[[1, 1], [2, 16], [6, 3]], 13013/1375941427200],
[[[1, 1], [2, 18], [4, 2]], 1733/1174136684544000],
[[[1, 1], [2, 18], [6, 2]], 2809/14676708556800],
[[[1, 1], [2, 18], [8, 1]], 1/6522981580800],
[[[1, 1], [2, 18], [10, 1]], 73/4076863488000],
[[[1, 1], [2, 20], [4, 1]], 1/10871635968000],
[[[1, 1], [2, 20], [6, 1]], 319/220150628352000],
[[[1, 1], [4, 5], [8, 3]], 1/262144],
[[[1, 1], [4, 9], [8, 1]], 1/70778880],
[[[1, 2], [2, 1], [4, 10]], 1/94371840],
[[[1, 2], [2, 3], [4, 9]], 103/212336640],
[[[1, 2], [2, 5], [4, 8]], 997/402653184],
[[[1, 2], [2, 5], [8, 4]], 1/65536],
[[[1, 2], [2, 7], [4, 7]], 52631/67947724800],
[[[1, 2], [2, 9], [4, 6]], 324737/543581798400],
[[[1, 2], [2, 9], [6, 6]], 245/71663616],
[[[1, 2], [2, 9], [10, 3]], 1/76800],
[[[1, 2], [2, 11], [4, 5]], 239/3019898880],
[[[1, 2], [2, 11], [6, 5]], 49/11943936],
[[[1, 2], [2, 13], [4, 4]], 10771/543581798400],
[[[1, 2], [2, 13], [6, 4]], 10253/7644119040],
[[[1, 2], [2, 13], [8, 2]], 1/4529848320],
[[[1, 2], [2, 13], [10, 2]], 41/117964800],
[[[1, 2], [2, 15], [4, 3]], 5501/3261490790400],
[[[1, 2], [2, 15], [6, 3]], 6107/45864714240],
[[[1, 2], [2, 17], [3, 2]], 1/14676708556800],
[[[1, 2], [2, 17], [4, 2]], 3289/26091926323200],
[[[1, 2], [2, 17], [5, 1]], 1/4076863488000],
[[[1, 2], [2, 17], [6, 2]], 5231/1223059046400],
[[[1, 2], [2, 17], [8, 1]], 73/6522981580800],
[[[1, 2], [2, 17], [10, 1]], 7/13589544960],
[[[1, 2], [2, 19], [3, 1]], 23/440301256704000],
[[[1, 2], [2, 19], [4, 1]], 19/2717908992000],
[[[1, 2], [2, 19], [6, 1]], 461/9784472371200],
[[[1, 3], [2, 2], [4, 9]], 103/212336640],
[[[1, 3], [2, 4], [4, 8]], 136087/18119393280],
[[[1, 3], [2, 4], [8, 4]], 3/65536],
[[[1, 3], [2, 6], [4, 7]], 365627/22649241600],
[[[1, 3], [2, 8], [4, 6]], 1074193/181193932800],
[[[1, 3], [2, 8], [6, 6]], 149/71663616],
[[[1, 3], [2, 8], [8, 3]], 71/47185920],
[[[1, 3], [2, 8], [10, 3]], 1/76800],
[[[1, 3], [2, 10], [4, 5]], 59837/27179089920],
[[[1, 3], [2, 10], [6, 5]], 1/147456],
[[[1, 3], [2, 12], [4, 4]], 74929/181193932800],
[[[1, 3], [2, 12], [6, 4]], 40231/7644119040],
[[[1, 3], [2, 12], [8, 2]], 43/4529848320],
[[[1, 3], [2, 12], [10, 2]], 251/117964800],
[[[1, 3], [2, 14], [4, 3]], 184111/3261490790400],
[[[1, 3], [2, 14], [6, 3]], 8635/9172942848],
[[[1, 3], [2, 16], [3, 2]], 73/14676708556800],
[[[1, 3], [2, 16], [4, 2]], 1523/322122547200],
[[[1, 3], [2, 16], [5, 1]], 73/4076863488000],
[[[1, 3], [2, 16], [6, 2]], 20149/407686348800],
[[[1, 3], [2, 16], [8, 1]], 7/21743271936],
[[[1, 3], [2, 16], [10, 1]], 103/13589544960],
[[[1, 3], [2, 18], [3, 1]], 1733/440301256704000],
[[[1, 3], [2, 18], [4, 1]], 2087/9784472371200],
[[[1, 3], [2, 18], [6, 1]], 8023/9784472371200],
[[[1, 3], [4, 2], [8, 4]], 1/65536],
[[[1, 3], [4, 4], [12, 3]], 1/13824],
[[[1, 3], [4, 6], [8, 2]], 113/94371840],
[[[1, 3], [4, 6], [12, 2]], 1/49152],
[[[1, 3], [4, 6], [20, 1]], 1/122880],
[[[1, 3], [4, 8], [12, 1]], 1/1474560],
[[[1, 3], [8, 3], [16, 1]], 1/8192],
[[[1, 4], [2, 1], [4, 9]], 17/106168320],
[[[1, 4], [2, 3], [4, 8]], 136087/18119393280],
[[[1, 4], [2, 3], [8, 4]], 3/65536],
[[[1, 4], [2, 5], [4, 7]], 3273857/67947724800],
[[[1, 4], [2, 7], [4, 6]], 40969681/815372697600],
[[[1, 4], [2, 7], [6, 6]], 1313/2149908480],
[[[1, 4], [2, 7], [8, 3]], 731/47185920],
[[[1, 4], [2, 7], [10, 3]], 13/2304000],
[[[1, 4], [2, 9], [4, 5]], 251101/13589544960],
[[[1, 4], [2, 9], [6, 5]], 371/71663616],
[[[1, 4], [2, 11], [3, 4]], 1/22932357120],
[[[1, 4], [2, 11], [4, 4]], 556147/108716359680],
[[[1, 4], [2, 11], [5, 2]], 1/1769472000],
[[[1, 4], [2, 11], [6, 4]], 116749/11466178560],
[[[1, 4], [2, 11], [8, 2]], 221/1509949440],
[[[1, 4], [2, 11], [10, 2]], 5429/884736000],
[[[1, 4], [2, 13], [3, 3]], 31/458647142400],
[[[1, 4], [2, 13], [4, 3]], 2915323/3261490790400],
[[[1, 4], [2, 13], [6, 3]], 1006267/275188285440],
[[[1, 4], [2, 15], [3, 2]], 23/135895449600],
[[[1, 4], [2, 15], [4, 2]], 519457/6522981580800],
[[[1, 4], [2, 15], [5, 1]], 7/13589544960],
[[[1, 4], [2, 15], [6, 2]], 1207067/3669177139200],
[[[1, 4], [2, 15], [8, 1]], 103/21743271936],
[[[1, 4], [2, 15], [10, 1]], 64207/1019215872000],
[[[1, 4], [2, 17], [3, 1]], 1741/14676708556800],
[[[1, 4], [2, 17], [4, 1]], 66967/19568944742400],
[[[1, 4], [2, 17], [6, 1]], 3899/458647142400],
[[[1, 5], [2, 2], [4, 8]], 997/402653184],
[[[1, 5], [2, 2], [8, 4]], 1/65536],
[[[1, 5], [2, 4], [4, 7]], 3273857/67947724800],
[[[1, 5], [2, 6], [4, 6]], 115768243/815372697600],
[[[1, 5], [2, 6], [6, 6]], 101/2149908480],
[[[1, 5], [2, 6], [8, 3]], 197/4718592],
[[[1, 5], [2, 6], [10, 3]], 1/2304000],
[[[1, 5], [2, 8], [4, 5]], 264499/2717908992],
[[[1, 5], [2, 8], [6, 5]], 143/71663616],
[[[1, 5], [2, 10], [3, 4]], 43/22932357120],
[[[1, 5], [2, 10], [4, 4]], 702827/21743271936],
[[[1, 5], [2, 10], [5, 2]], 43/1769472000],
[[[1, 5], [2, 10], [6, 4]], 125983/11466178560],
[[[1, 5], [2, 10], [8, 2]], 1687/1509949440],
[[[1, 5], [2, 10], [10, 2]], 8903/884736000],
[[[1, 5], [2, 12], [3, 3]], 1411/458647142400],
[[[1, 5], [2, 12], [4, 3]], 491453/72477573120],
[[[1, 5], [2, 12], [6, 3]], 450443/55037657088],
[[[1, 5], [2, 14], [3, 2]], 4111/1223059046400],
[[[1, 5], [2, 14], [4, 2]], 4539431/6522981580800],
[[[1, 5], [2, 14], [5, 1]], 103/13589544960],
[[[1, 5], [2, 14], [6, 2]], 4881719/3669177139200],
[[[1, 5], [2, 14], [8, 1]], 64207/1630745395200],
[[[1, 5], [2, 14], [10, 1]], 317659/1019215872000],
[[[1, 5], [2, 16], [3, 1]], 3431/1834588569600],
[[[1, 5], [2, 16], [4, 1]], 315041/9784472371200],
[[[1, 5], [2, 16], [6, 1]], 203659/3669177139200],
[[[1, 5], [3, 1], [4, 8]], 1/35389440],
[[[1, 5], [3, 3], [9, 2]], 1/1296],
[[[1, 5], [4, 3], [8, 3]], 43/9437184],
[[[1, 5], [4, 7], [8, 1]], 191/2264924160],
[[[1, 6], [2, 1], [4, 8]], 37/1207959552],
[[[1, 6], [2, 3], [4, 7]], 365627/22649241600],
[[[1, 6], [2, 5], [3, 6]], 101/2149908480],
[[[1, 6], [2, 5], [4, 6]], 115768243/815372697600],
[[[1, 6], [2, 5], [5, 3]], 1/2304000],
[[[1, 6], [2, 5], [8, 3]], 197/4718592],
[[[1, 6], [2, 7], [3, 5]], 1/44789760],
[[[1, 6], [2, 7], [4, 5]], 335309/1358954496],
[[[1, 6], [2, 7], [6, 5]], 1/2799360],
[[[1, 6], [2, 9], [3, 4]], 341/7644119040],
[[[1, 6], [2, 9], [4, 4]], 11277119/90596966400],
[[[1, 6], [2, 9], [5, 2]], 41/117964800],
[[[1, 6], [2, 9], [6, 4]], 80071/11466178560],
[[[1, 6], [2, 9], [8, 2]], 10669/2264924160],
[[[1, 6], [2, 9], [10, 2]], 8903/884736000],
[[[1, 6], [2, 11], [3, 3]], 491/9172942848],
[[[1, 6], [2, 11], [4, 3]], 142951/4831838208],
[[[1, 6], [2, 11], [6, 3]], 1299553/114661785600],
[[[1, 6], [2, 13], [3, 2]], 48097/1223059046400],
[[[1, 6], [2, 13], [4, 2]], 345013817/97844723712000],
[[[1, 6], [2, 13], [5, 1]], 64207/1019215872000],
[[[1, 6], [2, 13], [6, 2]], 12493507/3669177139200],
[[[1, 6], [2, 13], [8, 1]], 317659/1630745395200],
[[[1, 6], [2, 13], [10, 1]], 980003/1019215872000],
[[[1, 6], [2, 15], [3, 1]], 21011/1223059046400],
[[[1, 6], [2, 15], [4, 1]], 1849547/9784472371200],
[[[1, 6], [2, 15], [6, 1]], 4339751/18345885696000],
[[[1, 7], [2, 2], [4, 7]], 52631/67947724800],
[[[1, 7], [2, 4], [3, 6]], 1313/2149908480],
[[[1, 7], [2, 4], [4, 6]], 40969681/815372697600],
[[[1, 7], [2, 4], [5, 3]], 13/2304000],
[[[1, 7], [2, 4], [8, 3]], 731/47185920],
[[[1, 7], [2, 6], [3, 5]], 1/2799360],
[[[1, 7], [2, 6], [4, 5]], 335309/1358954496],
[[[1, 7], [2, 6], [6, 5]], 1/44789760],
[[[1, 7], [2, 8], [3, 4]], 3823/7644119040],
[[[1, 7], [2, 8], [4, 4]], 37371923/135895449600],
[[[1, 7], [2, 8], [5, 2]], 251/117964800],
[[[1, 7], [2, 8], [6, 4]], 5873/2293235712],
[[[1, 7], [2, 8], [8, 2]], 23983/2264924160],
[[[1, 7], [2, 8], [10, 2]], 5429/884736000],
[[[1, 7], [2, 10], [3, 3]], 21067/45864714240],
[[[1, 7], [2, 10], [4, 3]], 10306093/120795955200],
[[[1, 7], [2, 10], [6, 3]], 1157413/114661785600],
[[[1, 7], [2, 12], [3, 2]], 12271/45298483200],
[[[1, 7], [2, 12], [4, 2]], 1134688247/97844723712000],
[[[1, 7], [2, 12], [5, 1]], 317659/1019215872000],
[[[1, 7], [2, 12], [6, 2]], 21241987/3669177139200],
[[[1, 7], [2, 12], [8, 1]], 39707/65229815808],
[[[1, 7], [2, 12], [10, 1]], 2006819/1019215872000],
[[[1, 7], [2, 14], [3, 1]], 59771/611529523200],
[[[1, 7], [2, 14], [4, 1]], 3958549/5435817984000],
[[[1, 7], [2, 14], [6, 1]], 6239563/9172942848000],
[[[1, 7], [3, 2], [4, 6]], 1/37748736],
[[[1, 7], [3, 2], [9, 2]], 1/41472],
[[[1, 7], [3, 4], [4, 4]], 1/10616832],
[[[1, 7], [3, 5], [9, 1]], 1/5184],
[[[1, 7], [3, 6], [4, 2]], 101/179159040],
[[[1, 7], [4, 2], [5, 3]], 1/192000],
[[[1, 7], [4, 4], [5, 2]], 1/819200],
[[[1, 7], [4, 4], [8, 2]], 19/94371840],
[[[1, 7], [4, 4], [12, 2]], 1/1769472],
[[[1, 7], [4, 4], [20, 1]], 1/491520],
[[[1, 7], [4, 6], [5, 1]], 1/10485760],
[[[1, 7], [4, 6], [12, 1]], 1/7077888],
[[[1, 8], [2, 1], [3, 7]], 101/67184640],
[[[1, 8], [2, 1], [4, 7]], 5207/67947724800],
[[[1, 8], [2, 3], [3, 6]], 149/71663616],
[[[1, 8], [2, 3], [4, 6]], 1074193/181193932800],
[[[1, 8], [2, 3], [5, 3]], 1/76800],
[[[1, 8], [2, 3], [8, 3]], 71/47185920],
[[[1, 8], [2, 5], [3, 5]], 143/71663616],
[[[1, 8], [2, 5], [4, 5]], 264499/2717908992],
[[[1, 8], [2, 7], [3, 4]], 5873/2293235712],
[[[1, 8], [2, 7], [4, 4]], 37371923/135895449600],
[[[1, 8], [2, 7], [5, 2]], 5429/884736000],
[[[1, 8], [2, 7], [6, 4]], 3823/7644119040],
[[[1, 8], [2, 7], [8, 2]], 23983/2264924160],
[[[1, 8], [2, 7], [10, 2]], 251/117964800],
[[[1, 8], [2, 9], [3, 3]], 12955/6115295232],
[[[1, 8], [2, 9], [4, 3]], 176112329/1087163596800],
[[[1, 8], [2, 9], [6, 3]], 177803/30576476160],
[[[1, 8], [2, 11], [3, 2]], 1400081/1223059046400],
[[[1, 8], [2, 11], [4, 2]], 119149883/4348654387200],
[[[1, 8], [2, 11], [5, 1]], 1003043/1019215872000],
[[[1, 8], [2, 11], [6, 2]], 5532823/815372697600],
[[[1, 8], [2, 11], [8, 1]], 2134691/1630745395200],
[[[1, 8], [2, 11], [10, 1]], 382217/135895449600],
[[[1, 8], [2, 13], [3, 1]], 2222227/6115295232000],
[[[1, 8], [2, 13], [4, 1]], 3561473/1811939328000],
[[[1, 8], [2, 13], [6, 1]], 336199/244611809280],
[[[1, 9], [2, 2], [3, 6]], 245/71663616],
[[[1, 9], [2, 2], [4, 6]], 324737/543581798400],
[[[1, 9], [2, 2], [5, 3]], 1/76800],
[[[1, 9], [2, 4], [3, 5]], 371/71663616],
[[[1, 9], [2, 4], [4, 5]], 251101/13589544960],
[[[1, 9], [2, 6], [3, 4]], 80071/11466178560],
[[[1, 9], [2, 6], [4, 4]], 11277119/90596966400],
[[[1, 9], [2, 6], [5, 2]], 8903/884736000],
[[[1, 9], [2, 6], [6, 4]], 341/7644119040],
[[[1, 9], [2, 6], [8, 2]], 10669/2264924160],
[[[1, 9], [2, 6], [10, 2]], 41/117964800],
[[[1, 9], [2, 8], [3, 3]], 177803/30576476160],
[[[1, 9], [2, 8], [4, 3]], 176112329/1087163596800],
[[[1, 9], [2, 8], [6, 3]], 12955/6115295232],
[[[1, 9], [2, 10], [3, 2]], 3819713/1223059046400],
[[[1, 9], [2, 10], [4, 2]], 603306203/13045963161600],
[[[1, 9], [2, 10], [5, 1]], 2168099/1019215872000],
[[[1, 9], [2, 10], [6, 2]], 4539671/815372697600],
[[[1, 9], [2, 10], [8, 1]], 425737/217432719360],
[[[1, 9], [2, 10], [10, 1]], 400649/135895449600],
[[[1, 9], [2, 12], [3, 1]], 2876311/3057647616000],
[[[1, 9], [2, 12], [4, 1]], 19578029/4892236185600],
[[[1, 9], [2, 12], [6, 1]], 4978331/2446118092800],
[[[1, 9], [3, 1], [4, 6]], 1/75497472],
[[[1, 9], [3, 1], [5, 3]], 1/72000],
[[[1, 9], [3, 3], [4, 4]], 5/42467328],
[[[1, 9], [3, 3], [5, 2]], 1/86400],
[[[1, 9], [3, 4], [9, 1]], 1/165888],
[[[1, 9], [3, 5], [4, 2]], 1/2985984],
[[[1, 9], [3, 5], [5, 1]], 1/311040],
[[[1, 9], [4, 5], [8, 1]], 17/3019898880],
[[[1, 10], [2, 1], [3, 6]], 4673/2149908480],
[[[1, 10], [2, 1], [4, 6]], 13/2415919104],
[[[1, 10], [2, 1], [5, 3]], 13/2304000],
[[[1, 10], [2, 3], [3, 5]], 1/147456],
[[[1, 10], [2, 3], [4, 5]], 59837/27179089920],
[[[1, 10], [2, 5], [3, 4]], 125983/11466178560],
[[[1, 10], [2, 5], [4, 4]], 702827/21743271936],
[[[1, 10], [2, 5], [5, 2]], 8903/884736000],
[[[1, 10], [2, 5], [6, 4]], 43/22932357120],
[[[1, 10], [2, 5], [8, 2]], 1687/1509949440],
[[[1, 10], [2, 5], [10, 2]], 43/1769472000],
[[[1, 10], [2, 7], [3, 3]], 1157413/114661785600],
[[[1, 10], [2, 7], [4, 3]], 10306093/120795955200],
[[[1, 10], [2, 7], [6, 3]], 21067/45864714240],
[[[1, 10], [2, 9], [3, 2]], 4539671/815372697600],
[[[1, 10], [2, 9], [4, 2]], 603306203/13045963161600],
[[[1, 10], [2, 9], [5, 1]], 400649/135895449600],
[[[1, 10], [2, 9], [6, 2]], 3819713/1223059046400],
[[[1, 10], [2, 9], [8, 1]], 425737/217432719360],
[[[1, 10], [2, 9], [10, 1]], 2168099/1019215872000],
[[[1, 10], [2, 11], [3, 1]], 25597157/14676708556800],
[[[1, 10], [2, 11], [4, 1]], 2394223/391378894848],
[[[1, 10], [2, 11], [6, 1]], 32826851/14676708556800],
[[[1, 11], [2, 2], [3, 5]], 49/11943936],
[[[1, 11], [2, 2], [4, 5]], 239/3019898880],
[[[1, 11], [2, 4], [3, 4]], 116749/11466178560],
[[[1, 11], [2, 4], [4, 4]], 556147/108716359680],
[[[1, 11], [2, 4], [5, 2]], 5429/884736000],
[[[1, 11], [2, 4], [6, 4]], 1/22932357120],
[[[1, 11], [2, 4], [8, 2]], 221/1509949440],
[[[1, 11], [2, 4], [10, 2]], 1/1769472000],
[[[1, 11], [2, 6], [3, 3]], 1299553/114661785600],
[[[1, 11], [2, 6], [4, 3]], 142951/4831838208],
[[[1, 11], [2, 6], [6, 3]], 491/9172942848],
[[[1, 11], [2, 8], [3, 2]], 5532823/815372697600],
[[[1, 11], [2, 8], [4, 2]], 119149883/4348654387200],
[[[1, 11], [2, 8], [5, 1]], 382217/135895449600],
[[[1, 11], [2, 8], [6, 2]], 1400081/1223059046400],
[[[1, 11], [2, 8], [8, 1]], 2134691/1630745395200],
[[[1, 11], [2, 8], [10, 1]], 1003043/1019215872000],
[[[1, 11], [2, 10], [3, 1]], 32826851/14676708556800],
[[[1, 11], [2, 10], [4, 1]], 2394223/391378894848],
[[[1, 11], [2, 10], [6, 1]], 25597157/14676708556800],
[[[1, 11], [3, 2], [4, 4]], 59/2264924160],
[[[1, 11], [3, 2], [5, 2]], 1/307200],
[[[1, 11], [3, 4], [4, 2]], 37/238878720],
[[[1, 11], [3, 4], [5, 1]], 17/9953280],
[[[1, 11], [4, 2], [5, 2]], 1/9216000],
[[[1, 11], [4, 2], [8, 2]], 1/4529848320],
[[[1, 11], [4, 4], [5, 1]], 17/1887436800],
[[[1, 12], [2, 1], [3, 5]], 323/358318080],
[[[1, 12], [2, 1], [4, 5]], 1/283115520],
[[[1, 12], [2, 3], [3, 4]], 40231/7644119040],
[[[1, 12], [2, 3], [4, 4]], 74929/181193932800],
[[[1, 12], [2, 3], [5, 2]], 251/117964800],
[[[1, 12], [2, 3], [8, 2]], 43/4529848320],
[[[1, 12], [2, 5], [3, 3]], 450443/55037657088],
[[[1, 12], [2, 5], [4, 3]], 491453/72477573120],
[[[1, 12], [2, 5], [6, 3]], 1411/458647142400],
[[[1, 12], [2, 7], [3, 2]], 21241987/3669177139200],
[[[1, 12], [2, 7], [4, 2]], 1134688247/97844723712000],
[[[1, 12], [2, 7], [5, 1]], 2006819/1019215872000],
[[[1, 12], [2, 7], [6, 2]], 12271/45298483200],
[[[1, 12], [2, 7], [8, 1]], 39707/65229815808],
[[[1, 12], [2, 7], [10, 1]], 317659/1019215872000],
[[[1, 12], [2, 9], [3, 1]], 4978331/2446118092800],
[[[1, 12], [2, 9], [4, 1]], 19578029/4892236185600],
[[[1, 12], [2, 9], [6, 1]], 2876311/3057647616000],
[[[1, 13], [2, 2], [3, 4]], 10253/7644119040],
[[[1, 13], [2, 2], [4, 4]], 10771/543581798400],
[[[1, 13], [2, 2], [5, 2]], 41/117964800],
[[[1, 13], [2, 2], [8, 2]], 1/4529848320],
[[[1, 13], [2, 4], [3, 3]], 1006267/275188285440],
[[[1, 13], [2, 4], [4, 3]], 2915323/3261490790400],
[[[1, 13], [2, 4], [6, 3]], 31/458647142400],
[[[1, 13], [2, 6], [3, 2]], 12493507/3669177139200],
[[[1, 13], [2, 6], [4, 2]], 345013817/97844723712000],
[[[1, 13], [2, 6], [5, 1]], 980003/1019215872000],
[[[1, 13], [2, 6], [6, 2]], 48097/1223059046400],
[[[1, 13], [2, 6], [8, 1]], 317659/1630745395200],
[[[1, 13], [2, 6], [10, 1]], 64207/1019215872000],
[[[1, 13], [2, 8], [3, 1]], 336199/244611809280],
[[[1, 13], [2, 8], [4, 1]], 3561473/1811939328000],
[[[1, 13], [2, 8], [6, 1]], 2222227/6115295232000],
[[[1, 13], [3, 1], [4, 4]], 1/1358954496],
[[[1, 13], [3, 1], [5, 2]], 1/9216000],
[[[1, 13], [3, 3], [4, 2]], 257/11466178560],
[[[1, 13], [3, 3], [5, 1]], 13/49766400],
[[[1, 13], [4, 3], [8, 1]], 31/543581798400],
[[[1, 14], [2, 1], [3, 4]], 2197/13759414272],
[[[1, 14], [2, 1], [4, 4]], 1/5662310400],
[[[1, 14], [2, 1], [5, 2]], 43/1769472000],
[[[1, 14], [2, 3], [3, 3]], 8635/9172942848],
[[[1, 14], [2, 3], [4, 3]], 184111/3261490790400],
[[[1, 14], [2, 5], [3, 2]], 4881719/3669177139200],
[[[1, 14], [2, 5], [4, 2]], 4539431/6522981580800],
[[[1, 14], [2, 5], [5, 1]], 317659/1019215872000],
[[[1, 14], [2, 5], [6, 2]], 4111/1223059046400],
[[[1, 14], [2, 5], [8, 1]], 64207/1630745395200],
[[[1, 14], [2, 5], [10, 1]], 103/13589544960],
[[[1, 14], [2, 7], [3, 1]], 6239563/9172942848000],
[[[1, 14], [2, 7], [4, 1]], 3958549/5435817984000],
[[[1, 14], [2, 7], [6, 1]], 59771/611529523200],
[[[1, 15], [2, 2], [3, 3]], 6107/45864714240],
[[[1, 15], [2, 2], [4, 3]], 5501/3261490790400],
[[[1, 15], [2, 4], [3, 2]], 1207067/3669177139200],
[[[1, 15], [2, 4], [4, 2]], 519457/6522981580800],
[[[1, 15], [2, 4], [5, 1]], 64207/1019215872000],
[[[1, 15], [2, 4], [6, 2]], 23/135895449600],
[[[1, 15], [2, 4], [8, 1]], 103/21743271936],
[[[1, 15], [2, 4], [10, 1]], 7/13589544960],
[[[1, 15], [2, 6], [3, 1]], 4339751/18345885696000],
[[[1, 15], [2, 6], [4, 1]], 1849547/9784472371200],
[[[1, 15], [2, 6], [6, 1]], 21011/1223059046400],
[[[1, 15], [3, 2], [4, 2]], 911/1223059046400],
[[[1, 15], [3, 2], [5, 1]], 29/3185049600],
[[[1, 15], [4, 2], [5, 1]], 31/339738624000],
[[[1, 16], [2, 1], [3, 3]], 13013/1375941427200],
[[[1, 16], [2, 1], [4, 3]], 113/3261490790400],
[[[1, 16], [2, 3], [3, 2]], 20149/407686348800],
[[[1, 16], [2, 3], [4, 2]], 1523/322122547200],
[[[1, 16], [2, 3], [5, 1]], 103/13589544960],
[[[1, 16], [2, 3], [6, 2]], 73/14676708556800],
[[[1, 16], [2, 3], [8, 1]], 7/21743271936],
[[[1, 16], [2, 3], [10, 1]], 73/4076863488000],
[[[1, 16], [2, 5], [3, 1]], 203659/3669177139200],
[[[1, 16], [2, 5], [4, 1]], 315041/9784472371200],
[[[1, 16], [2, 5], [6, 1]], 3431/1834588569600],
[[[1, 17], [2, 2], [3, 2]], 5231/1223059046400],
[[[1, 17], [2, 2], [4, 2]], 3289/26091926323200],
[[[1, 17], [2, 2], [5, 1]], 7/13589544960],
[[[1, 17], [2, 2], [6, 2]], 1/14676708556800],
[[[1, 17], [2, 2], [8, 1]], 73/6522981580800],
[[[1, 17], [2, 2], [10, 1]], 1/4076863488000],
[[[1, 17], [2, 4], [3, 1]], 3899/458647142400],
[[[1, 17], [2, 4], [4, 1]], 66967/19568944742400],
[[[1, 17], [2, 4], [6, 1]], 1741/14676708556800],
[[[1, 17], [3, 1], [4, 2]], 17/2446118092800],
[[[1, 17], [3, 1], [5, 1]], 11/127401984000],
[[[1, 17], [4, 1], [8, 1]], 1/6522981580800],
[[[1, 18], [2, 1], [3, 2]], 2809/14676708556800],
[[[1, 18], [2, 1], [4, 2]], 1733/1174136684544000],
[[[1, 18], [2, 1], [5, 1]], 73/4076863488000],
[[[1, 18], [2, 1], [8, 1]], 1/6522981580800],
[[[1, 18], [2, 3], [3, 1]], 8023/9784472371200],
[[[1, 18], [2, 3], [4, 1]], 2087/9784472371200],
[[[1, 18], [2, 3], [6, 1]], 1733/440301256704000],
[[[1, 19], [2, 2], [3, 1]], 461/9784472371200],
[[[1, 19], [2, 2], [4, 1]], 19/2717908992000],
[[[1, 19], [2, 2], [6, 1]], 23/440301256704000],
[[[1, 20], [2, 1], [3, 1]], 319/220150628352000],
[[[1, 20], [2, 1], [4, 1]], 1/10871635968000],
[[[2, 1], [4, 5], [8, 3]], 1/262144],
[[[2, 1], [4, 9], [8, 1]], 1/70778880],
[[[2, 3], [4, 2], [8, 4]], 1/65536],
[[[2, 3], [4, 4], [12, 3]], 1/13824],
[[[2, 3], [4, 6], [8, 2]], 113/94371840],
[[[2, 3], [4, 6], [12, 2]], 1/49152],
[[[2, 3], [4, 6], [20, 1]], 1/122880],
[[[2, 3], [4, 8], [12, 1]], 1/1474560],
[[[2, 3], [8, 3], [16, 1]], 1/8192],
[[[2, 5], [4, 3], [8, 3]], 43/9437184],
[[[2, 5], [4, 7], [8, 1]], 191/2264924160],
[[[2, 5], [4, 8], [6, 1]], 1/35389440],
[[[2, 5], [6, 3], [18, 2]], 1/1296],
[[[2, 7], [4, 2], [6, 6]], 101/179159040],
[[[2, 7], [4, 2], [10, 3]], 1/192000],
[[[2, 7], [4, 4], [6, 4]], 1/10616832],
[[[2, 7], [4, 4], [8, 2]], 19/94371840],
[[[2, 7], [4, 4], [10, 2]], 1/819200],
[[[2, 7], [4, 4], [12, 2]], 1/1769472],
[[[2, 7], [4, 4], [20, 1]], 1/491520],
[[[2, 7], [4, 6], [6, 2]], 1/37748736],
[[[2, 7], [4, 6], [10, 1]], 1/10485760],
[[[2, 7], [4, 6], [12, 1]], 1/7077888],
[[[2, 7], [6, 2], [18, 2]], 1/41472],
[[[2, 7], [6, 5], [18, 1]], 1/5184],
[[[2, 9], [4, 2], [6, 5]], 1/2985984],
[[[2, 9], [4, 4], [6, 3]], 5/42467328],
[[[2, 9], [4, 5], [8, 1]], 17/3019898880],
[[[2, 9], [4, 6], [6, 1]], 1/75497472],
[[[2, 9], [6, 1], [10, 3]], 1/72000],
[[[2, 9], [6, 3], [10, 2]], 1/86400],
[[[2, 9], [6, 4], [18, 1]], 1/165888],
[[[2, 9], [6, 5], [10, 1]], 1/311040],
[[[2, 11], [4, 2], [6, 4]], 37/238878720],
[[[2, 11], [4, 2], [8, 2]], 1/4529848320],
[[[2, 11], [4, 2], [10, 2]], 1/9216000],
[[[2, 11], [4, 4], [6, 2]], 59/2264924160],
[[[2, 11], [4, 4], [10, 1]], 17/1887436800],
[[[2, 11], [6, 2], [10, 2]], 1/307200],
[[[2, 11], [6, 4], [10, 1]], 17/9953280],
[[[2, 13], [4, 2], [6, 3]], 257/11466178560],
[[[2, 13], [4, 3], [8, 1]], 31/543581798400],
[[[2, 13], [4, 4], [6, 1]], 1/1358954496],
[[[2, 13], [6, 1], [10, 2]], 1/9216000],
[[[2, 13], [6, 3], [10, 1]], 13/49766400],
[[[2, 15], [4, 2], [6, 2]], 911/1223059046400],
[[[2, 15], [4, 2], [10, 1]], 31/339738624000],
[[[2, 15], [6, 2], [10, 1]], 29/3185049600],
[[[2, 17], [4, 1], [8, 1]], 1/6522981580800],
[[[2, 17], [4, 2], [6, 1]], 17/2446118092800],
[[[2, 17], [6, 1], [10, 1]], 11/127401984000],
[[[1, 1], [2, 2], [3, 1], [4, 9]], 1/106168320],
[[[1, 1], [2, 2], [4, 2], [8, 4]], 3/65536],
[[[1, 1], [2, 2], [4, 4], [8, 3]], 43/786432],
[[[1, 1], [2, 2], [4, 4], [12, 3]], 1/4608],
[[[1, 1], [2, 2], [4, 6], [8, 2]], 1459/94371840],
[[[1, 1], [2, 2], [4, 6], [12, 2]], 1/16384],
[[[1, 1], [2, 2], [4, 6], [20, 1]], 1/40960],
[[[1, 1], [2, 2], [4, 8], [8, 1]], 1/1572864],
[[[1, 1], [2, 2], [4, 8], [12, 1]], 1/491520],
[[[1, 1], [2, 2], [4, 9], [6, 1]], 1/106168320],
[[[1, 1], [2, 2], [8, 3], [16, 1]], 3/8192],
[[[1, 1], [2, 4], [4, 1], [8, 4]], 1/32768],
[[[1, 1], [2, 4], [4, 3], [8, 3]], 943/9437184],
[[[1, 1], [2, 4], [4, 3], [12, 3]], 1/41472],
[[[1, 1], [2, 4], [4, 5], [8, 2]], 185/9437184],
[[[1, 1], [2, 4], [4, 5], [12, 2]], 11/73728],
[[[1, 1], [2, 4], [4, 5], [16, 1]], 1/196608],
[[[1, 1], [2, 4], [4, 5], [20, 1]], 23/184320],
[[[1, 1], [2, 4], [4, 7], [5, 1]], 1/14745600],
[[[1, 1], [2, 4], [4, 7], [6, 2]], 1/13271040],
[[[1, 1], [2, 4], [4, 7], [8, 1]], 7739/2264924160],
[[[1, 1], [2, 4], [4, 7], [10, 1]], 1/14745600],
[[[1, 1], [2, 4], [4, 7], [12, 1]], 137/8847360],
[[[1, 1], [2, 4], [4, 8], [6, 1]], 1/11796480],
[[[1, 1], [2, 4], [6, 3], [18, 2]], 1/1296],
[[[1, 1], [2, 6], [3, 1], [4, 7]], 53/1132462080],
[[[1, 1], [2, 6], [4, 2], [6, 6]], 101/179159040],
[[[1, 1], [2, 6], [4, 2], [8, 3]], 167/15728640],
[[[1, 1], [2, 6], [4, 2], [10, 3]], 1/192000],
[[[1, 1], [2, 6], [4, 3], [6, 5]], 1/1990656],
[[[1, 1], [2, 6], [4, 4], [6, 4]], 1/3538944],
[[[1, 1], [2, 6], [4, 4], [8, 2]], 2249/94371840],
[[[1, 1], [2, 6], [4, 4], [10, 2]], 3/819200],
[[[1, 1], [2, 6], [4, 4], [12, 2]], 5/589824],
[[[1, 1], [2, 6], [4, 4], [20, 1]], 1/32768],
[[[1, 1], [2, 6], [4, 5], [6, 3]], 1/3538944],
[[[1, 1], [2, 6], [4, 6], [6, 2]], 5/37748736],
[[[1, 1], [2, 6], [4, 6], [8, 1]], 19513/11324620800],
[[[1, 1], [2, 6], [4, 6], [10, 1]], 1/2097152],
[[[1, 1], [2, 6], [4, 6], [12, 1]], 5/2359296],
[[[1, 1], [2, 6], [4, 7], [6, 1]], 3103/3397386240],
[[[1, 1], [2, 6], [6, 2], [18, 2]], 13/41472],
[[[1, 1], [2, 6], [6, 5], [18, 1]], 1/5184],
[[[1, 1], [2, 6], [8, 2], [16, 1]], 11/983040],
[[[1, 1], [2, 8], [3, 1], [6, 6]], 31/746496],
[[[1, 1], [2, 8], [4, 1], [6, 6]], 47/9953280],
[[[1, 1], [2, 8], [4, 1], [10, 3]], 1/32000],
[[[1, 1], [2, 8], [4, 2], [6, 5]], 1/746496],
[[[1, 1], [2, 8], [4, 3], [6, 4]], 1/497664],
[[[1, 1], [2, 8], [4, 3], [8, 2]], 13/18874368],
[[[1, 1], [2, 8], [4, 3], [10, 2]], 1/76800],
[[[1, 1], [2, 8], [4, 3], [12, 2]], 1/3317760],
[[[1, 1], [2, 8], [4, 3], [16, 1]], 1/786432],
[[[1, 1], [2, 8], [4, 3], [20, 1]], 1/921600],
[[[1, 1], [2, 8], [4, 4], [6, 3]], 11/14155776],
[[[1, 1], [2, 8], [4, 5], [6, 2]], 11/18874368],
[[[1, 1], [2, 8], [4, 5], [8, 1]], 2561/3019898880],
[[[1, 1], [2, 8], [4, 5], [10, 1]], 23/15728640],
[[[1, 1], [2, 8], [4, 5], [12, 1]], 49/53084160],
[[[1, 1], [2, 8], [4, 6], [6, 1]], 1/8388608],
[[[1, 1], [2, 8], [6, 1], [10, 3]], 1/72000],
[[[1, 1], [2, 8], [6, 3], [10, 2]], 1/86400],
[[[1, 1], [2, 8], [6, 4], [18, 1]], 13/165888],
[[[1, 1], [2, 8], [6, 5], [8, 1]], 1/497664],
[[[1, 1], [2, 8], [6, 5], [10, 1]], 1/311040],
[[[1, 1], [2, 10], [3, 1], [4, 5]], 17/4529848320],
[[[1, 1], [2, 10], [3, 1], [6, 5]], 95/23887872],
[[[1, 1], [2, 10], [4, 1], [6, 5]], 19/7962624],
[[[1, 1], [2, 10], [4, 2], [6, 4]], 367/238878720],
[[[1, 1], [2, 10], [4, 2], [8, 2]], 43/4529848320],
[[[1, 1], [2, 10], [4, 2], [10, 2]], 1/576000],
[[[1, 1], [2, 10], [4, 3], [6, 3]], 7/4976640],
[[[1, 1], [2, 10], [4, 4], [6, 2]], 83/251658240],
[[[1, 1], [2, 10], [4, 4], [8, 1]], 107/1811939328],
[[[1, 1], [2, 10], [4, 4], [10, 1]], 107/629145600],
[[[1, 1], [2, 10], [4, 5], [6, 1]], 299/1509949440],
[[[1, 1], [2, 10], [6, 2], [10, 2]], 23/921600],
[[[1, 1], [2, 10], [6, 4], [8, 1]], 17/15925248],
[[[1, 1], [2, 10], [6, 4], [10, 1]], 25/1990656],
[[[1, 1], [2, 10], [8, 1], [10, 2]], 1/1228800],
[[[1, 1], [2, 12], [3, 1], [6, 4]], 13/29859840],
[[[1, 1], [2, 12], [4, 1], [6, 4]], 137/159252480],
[[[1, 1], [2, 12], [4, 1], [8, 2]], 1/2264924160],
[[[1, 1], [2, 12], [4, 1], [10, 2]], 19/36864000],
[[[1, 1], [2, 12], [4, 2], [6, 3]], 4433/11466178560],
[[[1, 1], [2, 12], [4, 3], [6, 2]], 1319/5096079360],
[[[1, 1], [2, 12], [4, 3], [8, 1]], 1411/543581798400],
[[[1, 1], [2, 12], [4, 3], [10, 1]], 121/1415577600],
[[[1, 1], [2, 12], [4, 4], [6, 1]], 11/566231040],
[[[1, 1], [2, 12], [6, 1], [10, 2]], 7/3072000],
[[[1, 1], [2, 12], [6, 3], [8, 1]], 13/79626240],
[[[1, 1], [2, 12], [6, 3], [10, 1]], 193/49766400],
[[[1, 1], [2, 14], [3, 1], [4, 3]], 31/815372697600],
[[[1, 1], [2, 14], [3, 1], [6, 3]], 29/1911029760],
[[[1, 1], [2, 14], [4, 1], [6, 3]], 283/2548039680],
[[[1, 1], [2, 14], [4, 2], [6, 2]], 28691/1223059046400],
[[[1, 1], [2, 14], [4, 2], [8, 1]], 59/181193932800],
[[[1, 1], [2, 14], [4, 2], [10, 1]], 1411/339738624000],
[[[1, 1], [2, 14], [4, 3], [6, 1]], 5711/815372697600],
[[[1, 1], [2, 14], [6, 2], [8, 1]], 29/5096079360],
[[[1, 1], [2, 14], [6, 2], [10, 1]], 839/3185049600],
[[[1, 1], [2, 14], [8, 1], [10, 1]], 1/1415577600],
[[[1, 1], [2, 16], [3, 1], [6, 2]], 11/76441190400],
[[[1, 1], [2, 16], [4, 1], [6, 2]], 29/8153726976],
[[[1, 1], [2, 16], [4, 1], [8, 1]], 73/6522981580800],
[[[1, 1], [2, 16], [4, 1], [10, 1]], 73/169869312000],
[[[1, 1], [2, 16], [4, 2], [6, 1]], 893/2446118092800],
[[[1, 1], [2, 16], [6, 1], [8, 1]], 11/203843174400],
[[[1, 1], [2, 16], [6, 1], [10, 1]], 551/127401984000],
[[[1, 1], [2, 18], [3, 1], [4, 1]], 1/9784472371200],
[[[1, 1], [2, 18], [3, 1], [6, 1]], 1/2446118092800],
[[[1, 1], [2, 18], [4, 1], [6, 1]], 107/3261490790400],
[[[1, 1], [4, 3], [8, 1], [12, 3]], 1/3456],
[[[1, 1], [4, 3], [8, 2], [16, 1]], 1/49152],
[[[1, 1], [4, 3], [8, 3], [12, 1]], 1/12288],
[[[1, 1], [4, 5], [8, 1], [12, 2]], 1/12288],
[[[1, 1], [4, 5], [8, 1], [20, 1]], 1/30720],
[[[1, 1], [4, 7], [8, 1], [12, 1]], 1/368640],
[[[1, 2], [2, 1], [3, 1], [4, 9]], 1/106168320],
[[[1, 2], [2, 1], [4, 2], [8, 4]], 3/65536],
[[[1, 2], [2, 1], [4, 4], [8, 3]], 43/786432],
[[[1, 2], [2, 1], [4, 4], [12, 3]], 1/4608],
[[[1, 2], [2, 1], [4, 6], [8, 2]], 1459/94371840],
[[[1, 2], [2, 1], [4, 6], [12, 2]], 1/16384],
[[[1, 2], [2, 1], [4, 6], [20, 1]], 1/40960],
[[[1, 2], [2, 1], [4, 8], [8, 1]], 1/1572864],
[[[1, 2], [2, 1], [4, 8], [12, 1]], 1/491520],
[[[1, 2], [2, 1], [4, 9], [6, 1]], 1/106168320],
[[[1, 2], [2, 1], [8, 3], [16, 1]], 3/8192],
[[[1, 2], [2, 3], [3, 1], [4, 8]], 1/2211840],
[[[1, 2], [2, 3], [4, 1], [8, 4]], 3/32768],
[[[1, 2], [2, 3], [4, 3], [8, 3]], 215/524288],
[[[1, 2], [2, 3], [4, 3], [12, 3]], 7/41472],
[[[1, 2], [2, 3], [4, 5], [8, 2]], 2543/9437184],
[[[1, 2], [2, 3], [4, 5], [12, 2]], 35/73728],
[[[1, 2], [2, 3], [4, 5], [16, 1]], 1/65536],
[[[1, 2], [2, 3], [4, 5], [20, 1]], 71/184320],
[[[1, 2], [2, 3], [4, 7], [5, 1]], 1/4915200],
[[[1, 2], [2, 3], [4, 7], [6, 2]], 1/13271040],
[[[1, 2], [2, 3], [4, 7], [8, 1]], 801/41943040],
[[[1, 2], [2, 3], [4, 7], [10, 1]], 1/4915200],
[[[1, 2], [2, 3], [4, 7], [12, 1]], 419/8847360],
[[[1, 2], [2, 3], [4, 8], [6, 1]], 1/1966080],
[[[1, 2], [2, 5], [3, 1], [4, 7]], 923/3397386240],
[[[1, 2], [2, 5], [3, 2], [4, 6]], 1279/5096079360],
[[[1, 2], [2, 5], [3, 2], [9, 2]], 1/41472],
[[[1, 2], [2, 5], [4, 2], [8, 3]], 4027/15728640],
[[[1, 2], [2, 5], [4, 3], [6, 5]], 1/1990656],
[[[1, 2], [2, 5], [4, 4], [6, 4]], 11/10616832],
[[[1, 2], [2, 5], [4, 4], [8, 2]], 1991/9437184],
[[[1, 2], [2, 5], [4, 4], [10, 2]], 3/819200],
[[[1, 2], [2, 5], [4, 4], [12, 2]], 95/589824],
[[[1, 2], [2, 5], [4, 4], [16, 1]], 23/294912],
[[[1, 2], [2, 5], [4, 4], [20, 1]], 25/98304],
[[[1, 2], [2, 5], [4, 5], [6, 3]], 1/1179648],
[[[1, 2], [2, 5], [4, 6], [5, 1]], 3047/1415577600],
[[[1, 2], [2, 5], [4, 6], [6, 2]], 2357/849346560],
[[[1, 2], [2, 5], [4, 6], [8, 1]], 712813/11324620800],
[[[1, 2], [2, 5], [4, 6], [10, 1]], 2131/707788800],
[[[1, 2], [2, 5], [4, 6], [12, 1]], 223/2359296],
[[[1, 2], [2, 5], [4, 7], [6, 1]], 9883/3397386240],
[[[1, 2], [2, 5], [6, 2], [18, 2]], 5/6912],
[[[1, 2], [2, 5], [8, 2], [16, 1]], 37/327680],
[[[1, 2], [2, 7], [3, 1], [4, 6]], 5413/6370099200],
[[[1, 2], [2, 7], [3, 1], [6, 6]], 2891/67184640],
[[[1, 2], [2, 7], [3, 1], [10, 3]], 1/72000],
[[[1, 2], [2, 7], [3, 2], [6, 5]], 1201/4478976],
[[[1, 2], [2, 7], [4, 1], [6, 6]], 47/9953280],
[[[1, 2], [2, 7], [4, 1], [8, 3]], 119/15728640],
[[[1, 2], [2, 7], [4, 1], [10, 3]], 1/32000],
[[[1, 2], [2, 7], [4, 2], [6, 5]], 13/1990656],
[[[1, 2], [2, 7], [4, 3], [6, 4]], 29/3981312],
[[[1, 2], [2, 7], [4, 3], [8, 2]], 2239/31457280],
[[[1, 2], [2, 7], [4, 3], [10, 2]], 13/307200],
[[[1, 2], [2, 7], [4, 3], [12, 2]], 41/6635520],
[[[1, 2], [2, 7], [4, 3], [16, 1]], 5/262144],
[[[1, 2], [2, 7], [4, 3], [20, 1]], 41/1843200],
[[[1, 2], [2, 7], [4, 4], [6, 3]], 119/21233664],
[[[1, 2], [2, 7], [4, 5], [6, 2]], 7/2097152],
[[[1, 2], [2, 7], [4, 5], [8, 1]], 211/9437184],
[[[1, 2], [2, 7], [4, 5], [10, 1]], 41/5242880],
[[[1, 2], [2, 7], [4, 5], [12, 1]], 757/53084160],
[[[1, 2], [2, 7], [4, 6], [6, 1]], 62219/8493465600],
[[[1, 2], [2, 7], [5, 1], [6, 5]], 1/311040],
[[[1, 2], [2, 7], [6, 3], [8, 2]], 1/221184],
[[[1, 2], [2, 7], [6, 4], [18, 1]], 5/27648],
[[[1, 2], [2, 7], [6, 5], [8, 1]], 1/497664],
[[[1, 2], [2, 9], [3, 1], [4, 5]], 107/1509949440],
[[[1, 2], [2, 9], [3, 1], [6, 5]], 2617/71663616],
[[[1, 2], [2, 9], [3, 2], [4, 4]], 29/1358954496],
[[[1, 2], [2, 9], [3, 2], [6, 4]], 2417/143327232],
[[[1, 2], [2, 9], [3, 2], [10, 2]], 1/2764800],
[[[1, 2], [2, 9], [4, 1], [6, 5]], 103/7962624],
[[[1, 2], [2, 9], [4, 2], [6, 4]], 103/7962624],
[[[1, 2], [2, 9], [4, 2], [8, 2]], 463/503316480],
[[[1, 2], [2, 9], [4, 2], [10, 2]], 17/409600],
[[[1, 2], [2, 9], [4, 2], [12, 2]], 1/26542080],
[[[1, 2], [2, 9], [4, 2], [16, 1]], 1/1474560],
[[[1, 2], [2, 9], [4, 2], [20, 1]], 1/7372800],
[[[1, 2], [2, 9], [4, 3], [6, 3]], 431/39813120],
[[[1, 2], [2, 9], [4, 4], [5, 1]], 17/1887436800],
[[[1, 2], [2, 9], [4, 4], [6, 2]], 1511/283115520],
[[[1, 2], [2, 9], [4, 4], [8, 1]], 2089/603979776],
[[[1, 2], [2, 9], [4, 4], [10, 1]], 1987/235929600],
[[[1, 2], [2, 9], [4, 4], [12, 1]], 47/53084160],
[[[1, 2], [2, 9], [4, 5], [6, 1]], 323/167772160],
[[[1, 2], [2, 9], [5, 1], [6, 4]], 17/9953280],
[[[1, 2], [2, 9], [5, 1], [10, 2]], 1/768000],
[[[1, 2], [2, 9], [6, 2], [8, 2]], 1/786432],
[[[1, 2], [2, 9], [6, 2], [10, 2]], 17/460800],
[[[1, 2], [2, 9], [6, 4], [8, 1]], 125/15925248],
[[[1, 2], [2, 9], [6, 4], [10, 1]], 29/1658880],
[[[1, 2], [2, 9], [8, 1], [10, 2]], 13/1228800],
[[[1, 2], [2, 9], [8, 1], [16, 1]], 1/11796480],
[[[1, 2], [2, 9], [8, 2], [10, 1]], 1/1966080],
[[[1, 2], [2, 11], [3, 1], [4, 4]], 511/13589544960],
[[[1, 2], [2, 11], [3, 1], [6, 4]], 77/11197440],
[[[1, 2], [2, 11], [3, 1], [10, 2]], 1/3456000],
[[[1, 2], [2, 11], [3, 2], [6, 3]], 67/179159040],
[[[1, 2], [2, 11], [4, 1], [6, 4]], 1517/159252480],
[[[1, 2], [2, 11], [4, 1], [8, 2]], 43/2264924160],
[[[1, 2], [2, 11], [4, 1], [10, 2]], 319/36864000],
[[[1, 2], [2, 11], [4, 2], [6, 3]], 517/79626240],
[[[1, 2], [2, 11], [4, 3], [6, 2]], 17879/5096079360],
[[[1, 2], [2, 11], [4, 3], [8, 1]], 1337/6039797760],
[[[1, 2], [2, 11], [4, 3], [10, 1]], 2377/1415577600],
[[[1, 2], [2, 11], [4, 4], [6, 1]], 15833/13589544960],
[[[1, 2], [2, 11], [5, 1], [6, 3]], 13/49766400],
[[[1, 2], [2, 11], [6, 1], [8, 2]], 1/23592960],
[[[1, 2], [2, 11], [6, 1], [10, 2]], 13/921600],
[[[1, 2], [2, 11], [6, 3], [8, 1]], 193/79626240],
[[[1, 2], [2, 11], [6, 3], [10, 1]], 31/1658880],
[[[1, 2], [2, 13], [3, 1], [4, 3]], 1411/815372697600],
[[[1, 2], [2, 13], [3, 1], [6, 3]], 8579/17199267840],
[[[1, 2], [2, 13], [3, 2], [4, 2]], 151/1223059046400],
[[[1, 2], [2, 13], [3, 2], [6, 2]], 47/11466178560],
[[[1, 2], [2, 13], [3, 2], [10, 1]], 1/3185049600],
[[[1, 2], [2, 13], [4, 1], [6, 3]], 5161/2548039680],
[[[1, 2], [2, 13], [4, 2], [5, 1]], 31/339738624000],
[[[1, 2], [2, 13], [4, 2], [6, 2]], 37231/40768634880],
[[[1, 2], [2, 13], [4, 2], [8, 1]], 2719/181193932800],
[[[1, 2], [2, 13], [4, 2], [10, 1]], 3043/11324620800],
[[[1, 2], [2, 13], [4, 3], [6, 1]], 155411/815372697600],
[[[1, 2], [2, 13], [5, 1], [6, 2]], 29/3185049600],
[[[1, 2], [2, 13], [5, 1], [10, 1]], 1/884736000],
[[[1, 2], [2, 13], [6, 2], [8, 1]], 839/5096079360],
[[[1, 2], [2, 13], [6, 2], [10, 1]], 943/353894400],
[[[1, 2], [2, 13], [8, 1], [10, 1]], 43/1415577600],
[[[1, 2], [2, 15], [3, 1], [4, 2]], 1/5033164800],
[[[1, 2], [2, 15], [3, 1], [6, 2]], 4217/458647142400],
[[[1, 2], [2, 15], [3, 1], [10, 1]], 31/127401984000],
[[[1, 2], [2, 15], [3, 2], [6, 1]], 11/458647142400],
[[[1, 2], [2, 15], [4, 1], [6, 2]], 4693/40768634880],
[[[1, 2], [2, 15], [4, 1], [8, 1]], 107/181193932800],
[[[1, 2], [2, 15], [4, 1], [10, 1]], 3373/169869312000],
[[[1, 2], [2, 15], [4, 2], [6, 1]], 4871/203843174400],
[[[1, 2], [2, 15], [5, 1], [6, 1]], 11/127401984000],
[[[1, 2], [2, 15], [6, 1], [8, 1]], 551/203843174400],
[[[1, 2], [2, 15], [6, 1], [10, 1]], 337/4246732800],
[[[1, 2], [2, 17], [3, 1], [4, 1]], 73/9784472371200],
[[[1, 2], [2, 17], [3, 1], [6, 1]], 71/1467670855680],
[[[1, 2], [2, 17], [4, 1], [6, 1]], 5699/3261490790400],
[[[1, 3], [2, 2], [3, 1], [4, 8]], 1/1966080],
[[[1, 3], [2, 2], [3, 2], [4, 7]], 1/13271040],
[[[1, 3], [2, 2], [4, 1], [8, 4]], 3/32768],
[[[1, 3], [2, 2], [4, 3], [8, 3]], 215/524288],
[[[1, 3], [2, 2], [4, 3], [12, 3]], 7/41472],
[[[1, 3], [2, 2], [4, 5], [8, 2]], 2543/9437184],
[[[1, 3], [2, 2], [4, 5], [12, 2]], 35/73728],
[[[1, 3], [2, 2], [4, 5], [16, 1]], 1/65536],
[[[1, 3], [2, 2], [4, 5], [20, 1]], 71/184320],
[[[1, 3], [2, 2], [4, 7], [5, 1]], 1/4915200],
[[[1, 3], [2, 2], [4, 7], [8, 1]], 801/41943040],
[[[1, 3], [2, 2], [4, 7], [10, 1]], 1/4915200],
[[[1, 3], [2, 2], [4, 7], [12, 1]], 419/8847360],
[[[1, 3], [2, 2], [4, 8], [6, 1]], 1/2211840],
[[[1, 3], [2, 4], [3, 1], [4, 7]], 2591/339738624],
[[[1, 3], [2, 4], [3, 2], [4, 6]], 4363/5096079360],
[[[1, 3], [2, 4], [3, 2], [9, 2]], 13/41472],
[[[1, 3], [2, 4], [3, 3], [4, 5]], 7/10616832],
[[[1, 3], [2, 4], [4, 2], [8, 3]], 3941/4718592],
[[[1, 3], [2, 4], [4, 4], [6, 4]], 1/1179648],
[[[1, 3], [2, 4], [4, 4], [8, 2]], 10757/9437184],
[[[1, 3], [2, 4], [4, 4], [10, 2]], 1/819200],
[[[1, 3], [2, 4], [4, 4], [12, 2]], 1123/1769472],
[[[1, 3], [2, 4], [4, 4], [16, 1]], 71/294912],
[[[1, 3], [2, 4], [4, 4], [20, 1]], 129/163840],
[[[1, 3], [2, 4], [4, 5], [6, 3]], 13/10616832],
[[[1, 3], [2, 4], [4, 6], [5, 1]], 9539/1415577600],
[[[1, 3], [2, 4], [4, 6], [6, 2]], 103/31457280],
[[[1, 3], [2, 4], [4, 6], [8, 1]], 796403/3397386240],
[[[1, 3], [2, 4], [4, 6], [10, 1]], 5107/707788800],
[[[1, 3], [2, 4], [4, 6], [12, 1]], 2083/7077888],
[[[1, 3], [2, 4], [4, 7], [6, 1]], 5321/566231040],
[[[1, 3], [2, 4], [5, 1], [8, 3]], 1/20480],
[[[1, 3], [2, 4], [6, 2], [18, 2]], 5/6912],
[[[1, 3], [2, 4], [8, 2], [16, 1]], 91/294912],
[[[1, 3], [2, 4], [8, 3], [10, 1]], 1/20480],
[[[1, 3], [2, 6], [3, 1], [4, 6]], 72161/12740198400],
[[[1, 3], [2, 6], [3, 1], [6, 6]], 101/67184640],
[[[1, 3], [2, 6], [3, 1], [8, 3]], 1/73728],
[[[1, 3], [2, 6], [3, 1], [10, 3]], 1/72000],
[[[1, 3], [2, 6], [3, 2], [4, 5]], 571/169869312],
[[[1, 3], [2, 6], [3, 2], [6, 5]], 1387/4478976],
[[[1, 3], [2, 6], [3, 3], [6, 4]], 163/373248],
[[[1, 3], [2, 6], [4, 1], [8, 3]], 2059/15728640],
[[[1, 3], [2, 6], [4, 2], [6, 5]], 11/1990656],
[[[1, 3], [2, 6], [4, 3], [6, 4]], 53/3981312],
[[[1, 3], [2, 6], [4, 3], [8, 2]], 3361/6291456],
[[[1, 3], [2, 6], [4, 3], [10, 2]], 13/307200],
[[[1, 3], [2, 6], [4, 3], [12, 2]], 137/2211840],
[[[1, 3], [2, 6], [4, 3], [16, 1]], 125/786432],
[[[1, 3], [2, 6], [4, 3], [20, 1]], 97/614400],
[[[1, 3], [2, 6], [4, 4], [6, 3]], 35/2359296],
[[[1, 3], [2, 6], [4, 5], [5, 1]], 145/9437184],
[[[1, 3], [2, 6], [4, 5], [6, 2]], 239/9437184],
[[[1, 3], [2, 6], [4, 5], [8, 1]], 52451/188743680],
[[[1, 3], [2, 6], [4, 5], [10, 1]], 709/23592960],
[[[1, 3], [2, 6], [4, 5], [12, 1]], 3259/17694720],
[[[1, 3], [2, 6], [4, 6], [6, 1]], 72623/2831155200],
[[[1, 3], [2, 6], [5, 1], [6, 5]], 1/311040],
[[[1, 3], [2, 6], [6, 1], [8, 3]], 7/294912],
[[[1, 3], [2, 6], [6, 3], [8, 2]], 1/221184],
[[[1, 3], [2, 6], [6, 4], [18, 1]], 5/27648],
[[[1, 3], [2, 8], [3, 1], [4, 5]], 227/42467328],
[[[1, 3], [2, 8], [3, 1], [6, 5]], 2387/35831808],
[[[1, 3], [2, 8], [3, 2], [4, 4]], 2369/6794772480],
[[[1, 3], [2, 8], [3, 2], [6, 4]], 25661/143327232],
[[[1, 3], [2, 8], [3, 2], [10, 2]], 13/2764800],
[[[1, 3], [2, 8], [3, 3], [4, 3]], 1/17694720],
[[[1, 3], [2, 8], [3, 3], [6, 3]], 65/3981312],
[[[1, 3], [2, 8], [4, 1], [6, 5]], 191/11943936],
[[[1, 3], [2, 8], [4, 2], [6, 4]], 343/7962624],
[[[1, 3], [2, 8], [4, 2], [8, 2]], 8719/167772160],
[[[1, 3], [2, 8], [4, 2], [10, 2]], 167/1228800],
[[[1, 3], [2, 8], [4, 2], [12, 2]], 1/983040],
[[[1, 3], [2, 8], [4, 2], [16, 1]], 41/2949120],
[[[1, 3], [2, 8], [4, 2], [20, 1]], 3/819200],
[[[1, 3], [2, 8], [4, 3], [6, 3]], 1283/31850496],
[[[1, 3], [2, 8], [4, 4], [5, 1]], 107/629145600],
[[[1, 3], [2, 8], [4, 4], [6, 2]], 1589/56623104],
[[[1, 3], [2, 8], [4, 4], [8, 1]], 8213/125829120],
[[[1, 3], [2, 8], [4, 4], [10, 1]], 10709/235929600],
[[[1, 3], [2, 8], [4, 4], [12, 1]], 281/17694720],
[[[1, 3], [2, 8], [4, 5], [6, 1]], 341/14155776],
[[[1, 3], [2, 8], [5, 1], [6, 4]], 25/1990656],
[[[1, 3], [2, 8], [5, 1], [10, 2]], 13/768000],
[[[1, 3], [2, 8], [6, 2], [8, 2]], 23/2359296],
[[[1, 3], [2, 8], [6, 2], [10, 2]], 1/51200],
[[[1, 3], [2, 8], [6, 4], [8, 1]], 29/2654208],
[[[1, 3], [2, 8], [6, 4], [10, 1]], 13/1658880],
[[[1, 3], [2, 8], [8, 1], [10, 2]], 1/40960],
[[[1, 3], [2, 8], [8, 1], [16, 1]], 3/1310720],
[[[1, 3], [2, 8], [8, 2], [10, 1]], 13/1966080],
[[[1, 3], [2, 10], [3, 1], [4, 4]], 10093/13589544960],
[[[1, 3], [2, 10], [3, 1], [6, 4]], 3157/89579520],
[[[1, 3], [2, 10], [3, 1], [10, 2]], 1/216000],
[[[1, 3], [2, 10], [3, 2], [4, 3]], 679/5096079360],
[[[1, 3], [2, 10], [3, 2], [6, 3]], 359/35831808],
[[[1, 3], [2, 10], [3, 3], [6, 2]], 1/9953280],
[[[1, 3], [2, 10], [4, 1], [6, 4]], 3253/95551488],
[[[1, 3], [2, 10], [4, 1], [8, 2]], 437/754974720],
[[[1, 3], [2, 10], [4, 1], [10, 2]], 293/7372800],
[[[1, 3], [2, 10], [4, 1], [16, 1]], 1/11796480],
[[[1, 3], [2, 10], [4, 2], [6, 3]], 563/13271040],
[[[1, 3], [2, 10], [4, 3], [5, 1]], 121/1415577600],
[[[1, 3], [2, 10], [4, 3], [6, 2]], 2693/106168320],
[[[1, 3], [2, 10], [4, 3], [8, 1]], 6941/1207959552],
[[[1, 3], [2, 10], [4, 3], [10, 1]], 127/5529600],
[[[1, 3], [2, 10], [4, 3], [12, 1]], 1/3538944],
[[[1, 3], [2, 10], [4, 4], [6, 1]], 50257/4529848320],
[[[1, 3], [2, 10], [5, 1], [6, 3]], 193/49766400],
[[[1, 3], [2, 10], [6, 1], [8, 2]], 7/7864320],
[[[1, 3], [2, 10], [6, 1], [10, 2]], 29/921600],
[[[1, 3], [2, 10], [6, 3], [8, 1]], 31/2654208],
[[[1, 3], [2, 10], [6, 3], [10, 1]], 11/331776],
[[[1, 3], [2, 12], [3, 1], [4, 3]], 79/603979776],
[[[1, 3], [2, 12], [3, 1], [6, 3]], 18823/3439853568],
[[[1, 3], [2, 12], [3, 2], [4, 2]], 6571/1223059046400],
[[[1, 3], [2, 12], [3, 2], [6, 2]], 505/2293235712],
[[[1, 3], [2, 12], [3, 2], [8, 1]], 1/5096079360],
[[[1, 3], [2, 12], [3, 2], [10, 1]], 43/3185049600],
[[[1, 3], [2, 12], [3, 3], [4, 1]], 1/7644119040],
[[[1, 3], [2, 12], [3, 3], [6, 1]], 1/1911029760],
[[[1, 3], [2, 12], [4, 1], [6, 3]], 20971/1528823808],
[[[1, 3], [2, 12], [4, 2], [5, 1]], 1411/339738624000],
[[[1, 3], [2, 12], [4, 2], [6, 2]], 440303/40768634880],
[[[1, 3], [2, 12], [4, 2], [8, 1]], 20111/54358179840],
[[[1, 3], [2, 12], [4, 2], [10, 1]], 52331/11324620800],
[[[1, 3], [2, 12], [4, 3], [6, 1]], 283961/81537269760],
[[[1, 3], [2, 12], [5, 1], [6, 2]], 839/3185049600],
[[[1, 3], [2, 12], [5, 1], [8, 1]], 1/1415577600],
[[[1, 3], [2, 12], [5, 1], [10, 1]], 43/884736000],
[[[1, 3], [2, 12], [6, 2], [8, 1]], 943/566231040],
[[[1, 3], [2, 12], [6, 2], [10, 1]], 4301/353894400],
[[[1, 3], [2, 12], [8, 1], [10, 1]], 41/94371840],
[[[1, 3], [2, 14], [3, 1], [4, 2]], 3757/407686348800],
[[[1, 3], [2, 14], [3, 1], [6, 2]], 89351/458647142400],
[[[1, 3], [2, 14], [3, 1], [8, 1]], 31/203843174400],
[[[1, 3], [2, 14], [3, 1], [10, 1]], 1411/127401984000],
[[[1, 3], [2, 14], [3, 2], [4, 1]], 1/4529848320],
[[[1, 3], [2, 14], [3, 2], [6, 1]], 737/458647142400],
[[[1, 3], [2, 14], [4, 1], [5, 1]], 73/169869312000],
[[[1, 3], [2, 14], [4, 1], [6, 2]], 84809/61152952320],
[[[1, 3], [2, 14], [4, 1], [8, 1]], 3107/181193932800],
[[[1, 3], [2, 14], [4, 1], [10, 1]], 5491/16986931200],
[[[1, 3], [2, 14], [4, 2], [6, 1]], 109853/203843174400],
[[[1, 3], [2, 14], [5, 1], [6, 1]], 551/127401984000],
[[[1, 3], [2, 14], [6, 1], [8, 1]], 337/6794772480],
[[[1, 3], [2, 14], [6, 1], [10, 1]], 2981/4246732800],
[[[1, 3], [2, 16], [3, 1], [4, 1]], 751/2446118092800],
[[[1, 3], [2, 16], [3, 1], [6, 1]], 3361/1834588569600],
[[[1, 3], [2, 16], [4, 1], [6, 1]], 86447/2446118092800],
[[[1, 3], [3, 1], [4, 3], [8, 3]], 7/294912],
[[[1, 3], [3, 1], [4, 7], [8, 1]], 1/8847360],
[[[1, 3], [3, 2], [4, 2], [9, 2]], 1/3456],
[[[1, 3], [3, 2], [4, 4], [8, 2]], 1/589824],
[[[1, 3], [3, 2], [4, 4], [12, 2]], 1/12288],
[[[1, 3], [4, 2], [8, 2], [12, 2]], 1/18432],
[[[1, 3], [4, 2], [8, 2], [20, 1]], 1/5120],
[[[1, 3], [4, 4], [5, 1], [8, 2]], 1/163840],
[[[1, 3], [4, 4], [8, 1], [16, 1]], 1/196608],
[[[1, 3], [4, 4], [8, 2], [12, 1]], 5/147456],
[[[1, 3], [4, 4], [12, 1], [20, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 8]], 1/11796480],
[[[1, 4], [2, 1], [3, 2], [4, 7]], 1/13271040],
[[[1, 4], [2, 1], [3, 3], [9, 2]], 1/1296],
[[[1, 4], [2, 1], [4, 1], [8, 4]], 1/32768],
[[[1, 4], [2, 1], [4, 3], [8, 3]], 943/9437184],
[[[1, 4], [2, 1], [4, 3], [12, 3]], 1/41472],
[[[1, 4], [2, 1], [4, 5], [8, 2]], 185/9437184],
[[[1, 4], [2, 1], [4, 5], [12, 2]], 11/73728],
[[[1, 4], [2, 1], [4, 5], [16, 1]], 1/196608],
[[[1, 4], [2, 1], [4, 5], [20, 1]], 23/184320],
[[[1, 4], [2, 1], [4, 7], [5, 1]], 1/14745600],
[[[1, 4], [2, 1], [4, 7], [8, 1]], 7739/2264924160],
[[[1, 4], [2, 1], [4, 7], [10, 1]], 1/14745600],
[[[1, 4], [2, 1], [4, 7], [12, 1]], 137/8847360],
[[[1, 4], [2, 3], [3, 1], [4, 7]], 5321/566231040],
[[[1, 4], [2, 3], [3, 2], [4, 6]], 103/31457280],
[[[1, 4], [2, 3], [3, 2], [9, 2]], 5/6912],
[[[1, 4], [2, 3], [3, 3], [4, 5]], 13/10616832],
[[[1, 4], [2, 3], [3, 4], [4, 4]], 1/1179648],
[[[1, 4], [2, 3], [4, 2], [8, 3]], 3941/4718592],
[[[1, 4], [2, 3], [4, 4], [5, 2]], 1/819200],
[[[1, 4], [2, 3], [4, 4], [8, 2]], 10757/9437184],
[[[1, 4], [2, 3], [4, 4], [12, 2]], 1123/1769472],
[[[1, 4], [2, 3], [4, 4], [16, 1]], 71/294912],
[[[1, 4], [2, 3], [4, 4], [20, 1]], 129/163840],
[[[1, 4], [2, 3], [4, 5], [6, 3]], 7/10616832],
[[[1, 4], [2, 3], [4, 6], [5, 1]], 5107/707788800],
[[[1, 4], [2, 3], [4, 6], [6, 2]], 4363/5096079360],
[[[1, 4], [2, 3], [4, 6], [8, 1]], 796403/3397386240],
[[[1, 4], [2, 3], [4, 6], [10, 1]], 9539/1415577600],
[[[1, 4], [2, 3], [4, 6], [12, 1]], 2083/7077888],
[[[1, 4], [2, 3], [4, 7], [6, 1]], 2591/339738624],
[[[1, 4], [2, 3], [5, 1], [8, 3]], 1/20480],
[[[1, 4], [2, 3], [6, 2], [18, 2]], 13/41472],
[[[1, 4], [2, 3], [8, 2], [16, 1]], 91/294912],
[[[1, 4], [2, 3], [8, 3], [10, 1]], 1/20480],
[[[1, 4], [2, 5], [3, 1], [4, 6]], 534707/10192158720],
[[[1, 4], [2, 5], [3, 1], [8, 3]], 1/18432],
[[[1, 4], [2, 5], [3, 2], [4, 5]], 2335/169869312],
[[[1, 4], [2, 5], [3, 2], [6, 5]], 31/746496],
[[[1, 4], [2, 5], [3, 3], [4, 4]], 281/42467328],
[[[1, 4], [2, 5], [3, 3], [6, 4]], 3445/4478976],
[[[1, 4], [2, 5], [3, 3], [10, 2]], 1/86400],
[[[1, 4], [2, 5], [3, 4], [6, 3]], 1489/4478976],
[[[1, 4], [2, 5], [3, 4], [9, 1]], 1/165888],
[[[1, 4], [2, 5], [4, 1], [8, 3]], 1867/4718592],
[[[1, 4], [2, 5], [4, 3], [6, 4]], 1/124416],
[[[1, 4], [2, 5], [4, 3], [8, 2]], 518489/283115520],
[[[1, 4], [2, 5], [4, 3], [10, 2]], 1/76800],
[[[1, 4], [2, 5], [4, 3], [12, 2]], 871/3317760],
[[[1, 4], [2, 5], [4, 3], [16, 1]], 129/262144],
[[[1, 4], [2, 5], [4, 3], [20, 1]], 451/921600],
[[[1, 4], [2, 5], [4, 4], [6, 3]], 701/42467328],
[[[1, 4], [2, 5], [4, 5], [5, 1]], 493/9437184],
[[[1, 4], [2, 5], [4, 5], [6, 2]], 311/9437184],
[[[1, 4], [2, 5], [4, 5], [8, 1]], 810745/905969664],
[[[1, 4], [2, 5], [4, 5], [10, 1]], 1429/23592960],
[[[1, 4], [2, 5], [4, 5], [12, 1]], 31609/53084160],
[[[1, 4], [2, 5], [4, 6], [6, 1]], 673499/10192158720],
[[[1, 4], [2, 5], [5, 2], [6, 3]], 1/86400],
[[[1, 4], [2, 5], [6, 1], [8, 3]], 19/294912],
[[[1, 4], [2, 5], [6, 4], [18, 1]], 13/165888],
[[[1, 4], [2, 7], [3, 1], [4, 5]], 31423/849346560],
[[[1, 4], [2, 7], [3, 1], [6, 5]], 1811/35831808],
[[[1, 4], [2, 7], [3, 2], [4, 4]], 13037/849346560],
[[[1, 4], [2, 7], [3, 2], [6, 4]], 9445/23887872],
[[[1, 4], [2, 7], [3, 2], [8, 2]], 17/7077888],
[[[1, 4], [2, 7], [3, 2], [10, 2]], 1/51200],
[[[1, 4], [2, 7], [3, 3], [4, 3]], 43/53084160],
[[[1, 4], [2, 7], [3, 3], [6, 3]], 9685/35831808],
[[[1, 4], [2, 7], [3, 4], [4, 2]], 17/238878720],
[[[1, 4], [2, 7], [3, 4], [6, 2]], 265/15925248],
[[[1, 4], [2, 7], [3, 4], [10, 1]], 1/9953280],
[[[1, 4], [2, 7], [4, 1], [6, 5]], 71/11943936],
[[[1, 4], [2, 7], [4, 2], [5, 2]], 1/9216000],
[[[1, 4], [2, 7], [4, 2], [6, 4]], 365/7962624],
[[[1, 4], [2, 7], [4, 2], [8, 2]], 185681/452984832],
[[[1, 4], [2, 7], [4, 2], [10, 2]], 167/1228800],
[[[1, 4], [2, 7], [4, 2], [12, 2]], 631/79626240],
[[[1, 4], [2, 7], [4, 2], [16, 1]], 97/983040],
[[[1, 4], [2, 7], [4, 2], [20, 1]], 631/22118400],
[[[1, 4], [2, 7], [4, 3], [6, 3]], 2543/31850496],
[[[1, 4], [2, 7], [4, 4], [5, 1]], 2609/78643200],
[[[1, 4], [2, 7], [4, 4], [6, 2]], 2465/25165824],
[[[1, 4], [2, 7], [4, 4], [8, 1]], 12535/25165824],
[[[1, 4], [2, 7], [4, 4], [10, 1]], 22763/188743680],
[[[1, 4], [2, 7], [4, 4], [12, 1]], 24539/159252480],
[[[1, 4], [2, 7], [4, 5], [6, 1]], 25981/283115520],
[[[1, 4], [2, 7], [5, 1], [6, 4]], 29/1658880],
[[[1, 4], [2, 7], [5, 1], [8, 2]], 3/655360],
[[[1, 4], [2, 7], [5, 1], [10, 2]], 7/76800],
[[[1, 4], [2, 7], [5, 2], [6, 2]], 1/307200],
[[[1, 4], [2, 7], [5, 2], [10, 1]], 41/768000],
[[[1, 4], [2, 7], [6, 2], [8, 2]], 25/1179648],
[[[1, 4], [2, 7], [6, 2], [10, 2]], 13/2764800],
[[[1, 4], [2, 7], [6, 4], [8, 1]], 13/2654208],
[[[1, 4], [2, 7], [6, 4], [10, 1]], 13/9953280],
[[[1, 4], [2, 7], [8, 1], [10, 2]], 1/40960],
[[[1, 4], [2, 7], [8, 1], [16, 1]], 631/35389440],
[[[1, 4], [2, 7], [8, 2], [10, 1]], 19/983040],
[[[1, 4], [2, 9], [3, 1], [4, 4]], 48871/3397386240],
[[[1, 4], [2, 9], [3, 1], [6, 4]], 4843/71663616],
[[[1, 4], [2, 9], [3, 1], [8, 2]], 17/35389440],
[[[1, 4], [2, 9], [3, 1], [10, 2]], 107/5529600],
[[[1, 4], [2, 9], [3, 2], [4, 3]], 11959/5096079360],
[[[1, 4], [2, 9], [3, 2], [6, 3]], 749/9953280],
[[[1, 4], [2, 9], [3, 3], [4, 2]], 233/1274019840],
[[[1, 4], [2, 9], [3, 3], [6, 2]], 139/29859840],
[[[1, 4], [2, 9], [3, 3], [10, 1]], 1/6220800],
[[[1, 4], [2, 9], [3, 4], [6, 1]], 1/119439360],
[[[1, 4], [2, 9], [4, 1], [6, 4]], 4681/95551488],
[[[1, 4], [2, 9], [4, 1], [8, 2]], 3493/251658240],
[[[1, 4], [2, 9], [4, 1], [10, 2]], 569/7372800],
[[[1, 4], [2, 9], [4, 1], [16, 1]], 3/1310720],
[[[1, 4], [2, 9], [4, 2], [6, 3]], 14731/127401984],
[[[1, 4], [2, 9], [4, 3], [5, 1]], 2377/1415577600],
[[[1, 4], [2, 9], [4, 3], [6, 2]], 2627/26542080],
[[[1, 4], [2, 9], [4, 3], [8, 1]], 529631/7247757312],
[[[1, 4], [2, 9], [4, 3], [10, 1]], 9541/88473600],
[[[1, 4], [2, 9], [4, 3], [12, 1]], 109/17694720],
[[[1, 4], [2, 9], [4, 4], [6, 1]], 17927/283115520],
[[[1, 4], [2, 9], [5, 1], [6, 3]], 31/1658880],
[[[1, 4], [2, 9], [5, 2], [6, 1]], 1/9216000],
[[[1, 4], [2, 9], [6, 1], [8, 2]], 19/2949120],
[[[1, 4], [2, 9], [6, 1], [10, 2]], 191/5529600],
[[[1, 4], [2, 9], [6, 3], [8, 1]], 55/2654208],
[[[1, 4], [2, 9], [6, 3], [10, 1]], 281/9953280],
[[[1, 4], [2, 11], [3, 1], [4, 3]], 63803/27179089920],
[[[1, 4], [2, 11], [3, 1], [6, 3]], 153071/5733089280],
[[[1, 4], [2, 11], [3, 2], [4, 2]], 3197/13589544960],
[[[1, 4], [2, 11], [3, 2], [5, 1]], 1/3185049600],
[[[1, 4], [2, 11], [3, 2], [6, 2]], 14587/3822059520],
[[[1, 4], [2, 11], [3, 2], [8, 1]], 43/5096079360],
[[[1, 4], [2, 11], [3, 2], [10, 1]], 91/353894400],
[[[1, 4], [2, 11], [3, 3], [4, 1]], 43/7644119040],
[[[1, 4], [2, 11], [3, 3], [6, 1]], 41/1146617856],
[[[1, 4], [2, 11], [4, 1], [6, 3]], 334373/7644119040],
[[[1, 4], [2, 11], [4, 2], [5, 1]], 3043/11324620800],
[[[1, 4], [2, 11], [4, 2], [6, 2]], 297629/5435817984],
[[[1, 4], [2, 11], [4, 2], [8, 1]], 53803/10871635968],
[[[1, 4], [2, 11], [4, 2], [10, 1]], 220489/7549747200],
[[[1, 4], [2, 11], [4, 2], [12, 1]], 1/35389440],
[[[1, 4], [2, 11], [4, 3], [6, 1]], 2201633/81537269760],
[[[1, 4], [2, 11], [5, 1], [6, 2]], 943/353894400],
[[[1, 4], [2, 11], [5, 1], [8, 1]], 43/1415577600],
[[[1, 4], [2, 11], [5, 1], [10, 1]], 49/58982400],
[[[1, 4], [2, 11], [6, 2], [8, 1]], 4301/566231040],
[[[1, 4], [2, 11], [6, 2], [10, 1]], 14363/530841600],
[[[1, 4], [2, 11], [8, 1], [10, 1]], 251/94371840],
[[[1, 4], [2, 13], [3, 1], [4, 2]], 478733/2446118092800],
[[[1, 4], [2, 13], [3, 1], [5, 1]], 31/127401984000],
[[[1, 4], [2, 13], [3, 1], [6, 2]], 86873/45864714240],
[[[1, 4], [2, 13], [3, 1], [8, 1]], 1411/203843174400],
[[[1, 4], [2, 13], [3, 1], [10, 1]], 2239/12740198400],
[[[1, 4], [2, 13], [3, 2], [4, 1]], 413/40768634880],
[[[1, 4], [2, 13], [3, 2], [6, 1]], 437/9555148800],
[[[1, 4], [2, 13], [4, 1], [5, 1]], 3373/169869312000],
[[[1, 4], [2, 13], [4, 1], [6, 2]], 505961/61152952320],
[[[1, 4], [2, 13], [4, 1], [8, 1]], 393667/1630745395200],
[[[1, 4], [2, 13], [4, 1], [10, 1]], 41803/16986931200],
[[[1, 4], [2, 13], [4, 2], [6, 1]], 839609/163074539520],
[[[1, 4], [2, 13], [5, 1], [6, 1]], 337/4246732800],
[[[1, 4], [2, 13], [6, 1], [8, 1]], 2981/6794772480],
[[[1, 4], [2, 13], [6, 1], [10, 1]], 84329/25480396800],
[[[1, 4], [2, 15], [3, 1], [4, 1]], 18727/2446118092800],
[[[1, 4], [2, 15], [3, 1], [6, 1]], 58541/1834588569600],
[[[1, 4], [2, 15], [4, 1], [6, 1]], 885191/2446118092800],
[[[1, 5], [2, 2], [3, 1], [4, 7]], 9883/3397386240],
[[[1, 5], [2, 2], [3, 2], [4, 6]], 2357/849346560],
[[[1, 5], [2, 2], [3, 2], [9, 2]], 5/6912],
[[[1, 5], [2, 2], [3, 3], [4, 5]], 1/1179648],
[[[1, 5], [2, 2], [3, 4], [4, 4]], 11/10616832],
[[[1, 5], [2, 2], [3, 5], [4, 3]], 1/1990656],
[[[1, 5], [2, 2], [4, 2], [8, 3]], 4027/15728640],
[[[1, 5], [2, 2], [4, 4], [5, 2]], 3/819200],
[[[1, 5], [2, 2], [4, 4], [8, 2]], 1991/9437184],
[[[1, 5], [2, 2], [4, 4], [12, 2]], 95/589824],
[[[1, 5], [2, 2], [4, 4], [16, 1]], 23/294912],
[[[1, 5], [2, 2], [4, 4], [20, 1]], 25/98304],
[[[1, 5], [2, 2], [4, 6], [5, 1]], 2131/707788800],
[[[1, 5], [2, 2], [4, 6], [6, 2]], 1279/5096079360],
[[[1, 5], [2, 2], [4, 6], [8, 1]], 712813/11324620800],
[[[1, 5], [2, 2], [4, 6], [10, 1]], 3047/1415577600],
[[[1, 5], [2, 2], [4, 6], [12, 1]], 223/2359296],
[[[1, 5], [2, 2], [4, 7], [6, 1]], 923/3397386240],
[[[1, 5], [2, 2], [6, 2], [18, 2]], 1/41472],
[[[1, 5], [2, 2], [8, 2], [16, 1]], 37/327680],
[[[1, 5], [2, 4], [3, 1], [4, 6]], 673499/10192158720],
[[[1, 5], [2, 4], [3, 1], [8, 3]], 19/294912],
[[[1, 5], [2, 4], [3, 2], [4, 5]], 311/9437184],
[[[1, 5], [2, 4], [3, 3], [4, 4]], 701/42467328],
[[[1, 5], [2, 4], [3, 3], [6, 4]], 1489/4478976],
[[[1, 5], [2, 4], [3, 3], [10, 2]], 1/86400],
[[[1, 5], [2, 4], [3, 4], [4, 3]], 1/124416],
[[[1, 5], [2, 4], [3, 4], [6, 3]], 3445/4478976],
[[[1, 5], [2, 4], [3, 4], [9, 1]], 13/165888],
[[[1, 5], [2, 4], [3, 5], [6, 2]], 31/746496],
[[[1, 5], [2, 4], [4, 1], [8, 3]], 1867/4718592],
[[[1, 5], [2, 4], [4, 3], [5, 2]], 1/76800],
[[[1, 5], [2, 4], [4, 3], [8, 2]], 518489/283115520],
[[[1, 5], [2, 4], [4, 3], [12, 2]], 871/3317760],
[[[1, 5], [2, 4], [4, 3], [16, 1]], 129/262144],
[[[1, 5], [2, 4], [4, 3], [20, 1]], 451/921600],
[[[1, 5], [2, 4], [4, 4], [6, 3]], 281/42467328],
[[[1, 5], [2, 4], [4, 5], [5, 1]], 1429/23592960],
[[[1, 5], [2, 4], [4, 5], [6, 2]], 2335/169869312],
[[[1, 5], [2, 4], [4, 5], [8, 1]], 810745/905969664],
[[[1, 5], [2, 4], [4, 5], [10, 1]], 493/9437184],
[[[1, 5], [2, 4], [4, 5], [12, 1]], 31609/53084160],
[[[1, 5], [2, 4], [4, 6], [6, 1]], 534707/10192158720],
[[[1, 5], [2, 4], [5, 2], [6, 3]], 1/86400],
[[[1, 5], [2, 4], [6, 1], [8, 3]], 1/18432],
[[[1, 5], [2, 4], [6, 4], [18, 1]], 1/165888],
[[[1, 5], [2, 6], [3, 1], [4, 5]], 224081/1358954496],
[[[1, 5], [2, 6], [3, 1], [6, 5]], 1273/71663616],
[[[1, 5], [2, 6], [3, 2], [4, 4]], 20233/283115520],
[[[1, 5], [2, 6], [3, 2], [6, 4]], 9413/23887872],
[[[1, 5], [2, 6], [3, 2], [8, 2]], 125/7077888],
[[[1, 5], [2, 6], [3, 2], [10, 2]], 17/460800],
[[[1, 5], [2, 6], [3, 3], [4, 3]], 13/663552],
[[[1, 5], [2, 6], [3, 3], [6, 3]], 13655/17915904],
[[[1, 5], [2, 6], [3, 4], [4, 2]], 227/238878720],
[[[1, 5], [2, 6], [3, 4], [6, 2]], 8479/47775744],
[[[1, 5], [2, 6], [3, 4], [8, 1]], 1/15925248],
[[[1, 5], [2, 6], [3, 4], [10, 1]], 13/9953280],
[[[1, 5], [2, 6], [3, 5], [4, 1]], 1/23887872],
[[[1, 5], [2, 6], [3, 5], [6, 1]], 31/23887872],
[[[1, 5], [2, 6], [4, 1], [6, 5]], 13/23887872],
[[[1, 5], [2, 6], [4, 2], [5, 2]], 1/576000],
[[[1, 5], [2, 6], [4, 2], [6, 4]], 121/7962624],
[[[1, 5], [2, 6], [4, 2], [8, 2]], 2680711/2264924160],
[[[1, 5], [2, 6], [4, 2], [10, 2]], 17/409600],
[[[1, 5], [2, 6], [4, 2], [12, 2]], 1813/79626240],
[[[1, 5], [2, 6], [4, 2], [16, 1]], 451/1474560],
[[[1, 5], [2, 6], [4, 2], [20, 1]], 1813/22118400],
[[[1, 5], [2, 6], [4, 3], [6, 3]], 5/73728],
[[[1, 5], [2, 6], [4, 4], [5, 1]], 32389/235929600],
[[[1, 5], [2, 6], [4, 4], [6, 2]], 29753/226492416],
[[[1, 5], [2, 6], [4, 4], [8, 1]], 748153/503316480],
[[[1, 5], [2, 6], [4, 4], [10, 1]], 7087/37748736],
[[[1, 5], [2, 6], [4, 4], [12, 1]], 82631/159252480],
[[[1, 5], [2, 6], [4, 5], [6, 1]], 275297/1358954496],
[[[1, 5], [2, 6], [5, 1], [6, 4]], 13/1658880],
[[[1, 5], [2, 6], [5, 1], [8, 2]], 23/655360],
[[[1, 5], [2, 6], [5, 1], [10, 2]], 31/76800],
[[[1, 5], [2, 6], [5, 2], [6, 2]], 23/921600],
[[[1, 5], [2, 6], [5, 2], [8, 1]], 1/1228800],
[[[1, 5], [2, 6], [5, 2], [10, 1]], 293/768000],
[[[1, 5], [2, 6], [6, 2], [8, 2]], 11/393216],
[[[1, 5], [2, 6], [6, 2], [10, 2]], 1/2764800],
[[[1, 5], [2, 6], [6, 4], [8, 1]], 13/15925248],
[[[1, 5], [2, 6], [6, 4], [10, 1]], 1/9953280],
[[[1, 5], [2, 6], [8, 1], [10, 2]], 13/1228800],
[[[1, 5], [2, 6], [8, 1], [16, 1]], 1813/35389440],
[[[1, 5], [2, 6], [8, 2], [10, 1]], 43/983040],
[[[1, 5], [2, 8], [3, 1], [4, 4]], 67507/754974720],
[[[1, 5], [2, 8], [3, 1], [6, 4]], 4435/71663616],
[[[1, 5], [2, 8], [3, 1], [8, 2]], 257/35389440],
[[[1, 5], [2, 8], [3, 1], [10, 2]], 191/5529600],
[[[1, 5], [2, 8], [3, 2], [4, 3]], 337/11796480],
[[[1, 5], [2, 8], [3, 2], [6, 3]], 1631/7464960],
[[[1, 5], [2, 8], [3, 3], [4, 2]], 433/141557760],
[[[1, 5], [2, 8], [3, 3], [6, 2]], 409/7464960],
[[[1, 5], [2, 8], [3, 3], [8, 1]], 1/9953280],
[[[1, 5], [2, 8], [3, 3], [10, 1]], 1/388800],
[[[1, 5], [2, 8], [3, 4], [4, 1]], 17/159252480],
[[[1, 5], [2, 8], [3, 4], [6, 1]], 53/119439360],
[[[1, 5], [2, 8], [4, 1], [5, 2]], 19/36864000],
[[[1, 5], [2, 8], [4, 1], [6, 4]], 3169/95551488],
[[[1, 5], [2, 8], [4, 1], [8, 2]], 119497/1132462080],
[[[1, 5], [2, 8], [4, 1], [10, 2]], 569/7372800],
[[[1, 5], [2, 8], [4, 1], [16, 1]], 631/35389440],
[[[1, 5], [2, 8], [4, 2], [6, 3]], 18107/127401984],
[[[1, 5], [2, 8], [4, 3], [5, 1]], 1901/44236800],
[[[1, 5], [2, 8], [4, 3], [6, 2]], 12829/56623104],
[[[1, 5], [2, 8], [4, 3], [8, 1]], 46474549/108716359680],
[[[1, 5], [2, 8], [4, 3], [10, 1]], 11497/47185920],
[[[1, 5], [2, 8], [4, 3], [12, 1]], 2947/53084160],
[[[1, 5], [2, 8], [4, 4], [6, 1]], 75139/377487360],
[[[1, 5], [2, 8], [5, 1], [6, 3]], 11/331776],
[[[1, 5], [2, 8], [5, 2], [6, 1]], 7/3072000],
[[[1, 5], [2, 8], [6, 1], [8, 2]], 1/46080],
[[[1, 5], [2, 8], [6, 1], [10, 2]], 107/5529600],
[[[1, 5], [2, 8], [6, 3], [8, 1]], 281/15925248],
[[[1, 5], [2, 8], [6, 3], [10, 1]], 25/1990656],
[[[1, 5], [2, 10], [3, 1], [4, 3]], 3376801/163074539520],
[[[1, 5], [2, 10], [3, 1], [6, 3]], 36383/573308928],
[[[1, 5], [2, 10], [3, 2], [4, 2]], 29627/8153726976],
[[[1, 5], [2, 10], [3, 2], [5, 1]], 43/3185049600],
[[[1, 5], [2, 10], [3, 2], [6, 2]], 34867/1274019840],
[[[1, 5], [2, 10], [3, 2], [8, 1]], 91/566231040],
[[[1, 5], [2, 10], [3, 2], [10, 1]], 2539/1061683200],
[[[1, 5], [2, 10], [3, 3], [4, 1]], 1303/7644119040],
[[[1, 5], [2, 10], [3, 3], [6, 1]], 4261/5733089280],
[[[1, 5], [2, 10], [4, 1], [6, 3]], 279109/3822059520],
[[[1, 5], [2, 10], [4, 2], [5, 1]], 52331/11324620800],
[[[1, 5], [2, 10], [4, 2], [6, 2]], 3830309/27179089920],
[[[1, 5], [2, 10], [4, 2], [8, 1]], 4159471/108716359680],
[[[1, 5], [2, 10], [4, 2], [10, 1]], 2022631/22649241600],
[[[1, 5], [2, 10], [4, 2], [12, 1]], 1/1310720],
[[[1, 5], [2, 10], [4, 3], [6, 1]], 1994537/18119393280],
[[[1, 5], [2, 10], [5, 1], [6, 2]], 4301/353894400],
[[[1, 5], [2, 10], [5, 1], [8, 1]], 41/94371840],
[[[1, 5], [2, 10], [5, 1], [10, 1]], 467/58982400],
[[[1, 5], [2, 10], [6, 2], [8, 1]], 14363/849346560],
[[[1, 5], [2, 10], [6, 2], [10, 1]], 17921/530841600],
[[[1, 5], [2, 10], [8, 1], [10, 1]], 5429/707788800],
[[[1, 5], [2, 12], [3, 1], [4, 2]], 5374697/2446118092800],
[[[1, 5], [2, 12], [3, 1], [5, 1]], 1411/127401984000],
[[[1, 5], [2, 12], [3, 1], [6, 2]], 220183/22932357120],
[[[1, 5], [2, 12], [3, 1], [8, 1]], 2239/20384317440],
[[[1, 5], [2, 12], [3, 1], [10, 1]], 16387/12740198400],
[[[1, 5], [2, 12], [3, 2], [4, 1]], 767/4076863488],
[[[1, 5], [2, 12], [3, 2], [6, 1]], 9571/15288238080],
[[[1, 5], [2, 12], [4, 1], [5, 1]], 5491/16986931200],
[[[1, 5], [2, 12], [4, 1], [6, 2]], 3336961/122305904640],
[[[1, 5], [2, 12], [4, 1], [8, 1]], 2906479/1630745395200],
[[[1, 5], [2, 12], [4, 1], [10, 1]], 337391/33973862400],
[[[1, 5], [2, 12], [4, 2], [6, 1]], 4107853/163074539520],
[[[1, 5], [2, 12], [5, 1], [6, 1]], 2981/4246732800],
[[[1, 5], [2, 12], [6, 1], [8, 1]], 84329/40768634880],
[[[1, 5], [2, 12], [6, 1], [10, 1]], 225533/25480396800],
[[[1, 5], [2, 14], [3, 1], [4, 1]], 28867/271790899200],
[[[1, 5], [2, 14], [3, 1], [6, 1]], 108799/366917713920],
[[[1, 5], [2, 14], [4, 1], [6, 1]], 5159147/2446118092800],
[[[1, 5], [3, 1], [4, 4], [8, 2]], 1/147456],
[[[1, 5], [3, 1], [4, 4], [12, 2]], 1/55296],
[[[1, 5], [3, 1], [4, 4], [20, 1]], 1/15360],
[[[1, 5], [3, 1], [4, 6], [12, 1]], 1/221184],
[[[1, 5], [3, 2], [4, 5], [8, 1]], 1/2359296],
[[[1, 5], [3, 3], [4, 2], [8, 2]], 1/221184],
[[[1, 5], [3, 3], [4, 2], [12, 2]], 1/4608],
[[[1, 5], [3, 3], [5, 1], [15, 1]], 1/360],
[[[1, 5], [3, 4], [4, 2], [9, 1]], 1/13824],
[[[1, 5], [3, 4], [4, 3], [8, 1]], 1/1327104],
[[[1, 5], [4, 1], [8, 2], [16, 1]], 7/196608],
[[[1, 5], [4, 3], [5, 2], [8, 1]], 1/102400],
[[[1, 5], [4, 3], [8, 1], [12, 2]], 7/442368],
[[[1, 5], [4, 3], [8, 1], [20, 1]], 7/122880],
[[[1, 5], [4, 5], [5, 1], [8, 1]], 1/655360],
[[[1, 5], [4, 5], [8, 1], [12, 1]], 7/1769472],
[[[1, 6], [2, 1], [3, 1], [4, 7]], 3103/3397386240],
[[[1, 6], [2, 1], [3, 2], [4, 6]], 5/37748736],
[[[1, 6], [2, 1], [3, 2], [9, 2]], 13/41472],
[[[1, 6], [2, 1], [3, 3], [4, 5]], 1/3538944],
[[[1, 6], [2, 1], [3, 4], [4, 4]], 1/3538944],
[[[1, 6], [2, 1], [3, 5], [4, 3]], 1/1990656],
[[[1, 6], [2, 1], [3, 5], [9, 1]], 1/5184],
[[[1, 6], [2, 1], [3, 6], [4, 2]], 101/179159040],
[[[1, 6], [2, 1], [4, 2], [5, 3]], 1/192000],
[[[1, 6], [2, 1], [4, 2], [8, 3]], 167/15728640],
[[[1, 6], [2, 1], [4, 4], [5, 2]], 3/819200],
[[[1, 6], [2, 1], [4, 4], [8, 2]], 2249/94371840],
[[[1, 6], [2, 1], [4, 4], [12, 2]], 5/589824],
[[[1, 6], [2, 1], [4, 4], [20, 1]], 1/32768],
[[[1, 6], [2, 1], [4, 6], [5, 1]], 1/2097152],
[[[1, 6], [2, 1], [4, 6], [8, 1]], 19513/11324620800],
[[[1, 6], [2, 1], [4, 6], [12, 1]], 5/2359296],
[[[1, 6], [2, 1], [4, 7], [6, 1]], 53/1132462080],
[[[1, 6], [2, 1], [8, 2], [16, 1]], 11/983040],
[[[1, 6], [2, 3], [3, 1], [4, 6]], 72623/2831155200],
[[[1, 6], [2, 3], [3, 1], [8, 3]], 7/294912],
[[[1, 6], [2, 3], [3, 2], [4, 5]], 239/9437184],
[[[1, 6], [2, 3], [3, 3], [4, 4]], 35/2359296],
[[[1, 6], [2, 3], [3, 3], [8, 2]], 1/221184],
[[[1, 6], [2, 3], [3, 4], [4, 3]], 53/3981312],
[[[1, 6], [2, 3], [3, 4], [6, 3]], 163/373248],
[[[1, 6], [2, 3], [3, 4], [9, 1]], 5/27648],
[[[1, 6], [2, 3], [3, 5], [4, 2]], 11/1990656],
[[[1, 6], [2, 3], [3, 5], [6, 2]], 1387/4478976],
[[[1, 6], [2, 3], [3, 5], [10, 1]], 1/311040],
[[[1, 6], [2, 3], [3, 6], [6, 1]], 101/67184640],
[[[1, 6], [2, 3], [4, 1], [8, 3]], 2059/15728640],
[[[1, 6], [2, 3], [4, 3], [5, 2]], 13/307200],
[[[1, 6], [2, 3], [4, 3], [8, 2]], 3361/6291456],
[[[1, 6], [2, 3], [4, 3], [12, 2]], 137/2211840],
[[[1, 6], [2, 3], [4, 3], [16, 1]], 125/786432],
[[[1, 6], [2, 3], [4, 3], [20, 1]], 97/614400],
[[[1, 6], [2, 3], [4, 5], [5, 1]], 709/23592960],
[[[1, 6], [2, 3], [4, 5], [6, 2]], 571/169869312],
[[[1, 6], [2, 3], [4, 5], [8, 1]], 52451/188743680],
[[[1, 6], [2, 3], [4, 5], [10, 1]], 145/9437184],
[[[1, 6], [2, 3], [4, 5], [12, 1]], 3259/17694720],
[[[1, 6], [2, 3], [4, 6], [6, 1]], 72161/12740198400],
[[[1, 6], [2, 3], [5, 3], [6, 1]], 1/72000],
[[[1, 6], [2, 3], [6, 1], [8, 3]], 1/73728],
[[[1, 6], [2, 5], [3, 1], [4, 5]], 275297/1358954496],
[[[1, 6], [2, 5], [3, 1], [6, 5]], 31/23887872],
[[[1, 6], [2, 5], [3, 2], [4, 4]], 29753/226492416],
[[[1, 6], [2, 5], [3, 2], [5, 2]], 1/2764800],
[[[1, 6], [2, 5], [3, 2], [6, 4]], 8479/47775744],
[[[1, 6], [2, 5], [3, 2], [8, 2]], 11/393216],
[[[1, 6], [2, 5], [3, 2], [10, 2]], 23/921600],
[[[1, 6], [2, 5], [3, 3], [4, 3]], 5/73728],
[[[1, 6], [2, 5], [3, 3], [6, 3]], 13655/17915904],
[[[1, 6], [2, 5], [3, 4], [4, 2]], 121/7962624],
[[[1, 6], [2, 5], [3, 4], [5, 1]], 1/9953280],
[[[1, 6], [2, 5], [3, 4], [6, 2]], 9413/23887872],
[[[1, 6], [2, 5], [3, 4], [8, 1]], 13/15925248],
[[[1, 6], [2, 5], [3, 4], [10, 1]], 13/1658880],
[[[1, 6], [2, 5], [3, 5], [4, 1]], 13/23887872],
[[[1, 6], [2, 5], [3, 5], [6, 1]], 1273/71663616],
[[[1, 6], [2, 5], [4, 1], [6, 5]], 1/23887872],
[[[1, 6], [2, 5], [4, 2], [5, 2]], 17/409600],
[[[1, 6], [2, 5], [4, 2], [6, 4]], 227/238878720],
[[[1, 6], [2, 5], [4, 2], [8, 2]], 2680711/2264924160],
[[[1, 6], [2, 5], [4, 2], [10, 2]], 1/576000],
[[[1, 6], [2, 5], [4, 2], [12, 2]], 1813/79626240],
[[[1, 6], [2, 5], [4, 2], [16, 1]], 451/1474560],
[[[1, 6], [2, 5], [4, 2], [20, 1]], 1813/22118400],
[[[1, 6], [2, 5], [4, 3], [6, 3]], 13/663552],
[[[1, 6], [2, 5], [4, 4], [5, 1]], 7087/37748736],
[[[1, 6], [2, 5], [4, 4], [6, 2]], 20233/283115520],
[[[1, 6], [2, 5], [4, 4], [8, 1]], 748153/503316480],
[[[1, 6], [2, 5], [4, 4], [10, 1]], 32389/235929600],
[[[1, 6], [2, 5], [4, 4], [12, 1]], 82631/159252480],
[[[1, 6], [2, 5], [4, 5], [6, 1]], 224081/1358954496],
[[[1, 6], [2, 5], [5, 1], [6, 4]], 13/9953280],
[[[1, 6], [2, 5], [5, 1], [8, 2]], 43/983040],
[[[1, 6], [2, 5], [5, 1], [10, 2]], 293/768000],
[[[1, 6], [2, 5], [5, 2], [6, 2]], 17/460800],
[[[1, 6], [2, 5], [5, 2], [8, 1]], 13/1228800],
[[[1, 6], [2, 5], [5, 2], [10, 1]], 31/76800],
[[[1, 6], [2, 5], [6, 2], [8, 2]], 125/7077888],
[[[1, 6], [2, 5], [6, 4], [8, 1]], 1/15925248],
[[[1, 6], [2, 5], [8, 1], [10, 2]], 1/1228800],
[[[1, 6], [2, 5], [8, 1], [16, 1]], 1813/35389440],
[[[1, 6], [2, 5], [8, 2], [10, 1]], 23/655360],
[[[1, 6], [2, 7], [3, 1], [4, 4]], 1994527/6794772480],
[[[1, 6], [2, 7], [3, 1], [5, 2]], 1/3456000],
[[[1, 6], [2, 7], [3, 1], [6, 4]], 115/3981312],
[[[1, 6], [2, 7], [3, 1], [8, 2]], 415/14155776],
[[[1, 6], [2, 7], [3, 1], [10, 2]], 29/921600],
[[[1, 6], [2, 7], [3, 2], [4, 3]], 1159/8847360],
[[[1, 6], [2, 7], [3, 2], [6, 3]], 3899/11943936],
[[[1, 6], [2, 7], [3, 3], [4, 2]], 2873/119439360],
[[[1, 6], [2, 7], [3, 3], [5, 1]], 1/6220800],
[[[1, 6], [2, 7], [3, 3], [6, 2]], 11/49152],
[[[1, 6], [2, 7], [3, 3], [8, 1]], 1/622080],
[[[1, 6], [2, 7], [3, 3], [10, 1]], 25/1990656],
[[[1, 6], [2, 7], [3, 4], [4, 1]], 277/159252480],
[[[1, 6], [2, 7], [3, 4], [6, 1]], 371/59719680],
[[[1, 6], [2, 7], [4, 1], [5, 2]], 319/36864000],
[[[1, 6], [2, 7], [4, 1], [6, 4]], 1069/95551488],
[[[1, 6], [2, 7], [4, 1], [8, 2]], 104441/377487360],
[[[1, 6], [2, 7], [4, 1], [10, 2]], 293/7372800],
[[[1, 6], [2, 7], [4, 1], [16, 1]], 1813/35389440],
[[[1, 6], [2, 7], [4, 2], [6, 3]], 20059/238878720],
[[[1, 6], [2, 7], [4, 3], [5, 1]], 17251/88473600],
[[[1, 6], [2, 7], [4, 3], [6, 2]], 43207/169869312],
[[[1, 6], [2, 7], [4, 3], [8, 1]], 159763903/135895449600],
[[[1, 6], [2, 7], [4, 3], [10, 1]], 2933/9437184],
[[[1, 6], [2, 7], [4, 3], [12, 1]], 2099/10616832],
[[[1, 6], [2, 7], [4, 4], [6, 1]], 164651/452984832],
[[[1, 6], [2, 7], [5, 1], [6, 3]], 281/9953280],
[[[1, 6], [2, 7], [5, 2], [6, 1]], 13/921600],
[[[1, 6], [2, 7], [6, 1], [8, 2]], 547/14155776],
[[[1, 6], [2, 7], [6, 1], [10, 2]], 1/216000],
[[[1, 6], [2, 7], [6, 3], [8, 1]], 125/15925248],
[[[1, 6], [2, 7], [6, 3], [10, 1]], 1/388800],
[[[1, 6], [2, 9], [3, 1], [4, 3]], 16365157/163074539520],
[[[1, 6], [2, 9], [3, 1], [6, 3]], 85343/955514880],
[[[1, 6], [2, 9], [3, 2], [4, 2]], 2179291/81537269760],
[[[1, 6], [2, 9], [3, 2], [5, 1]], 91/353894400],
[[[1, 6], [2, 9], [3, 2], [6, 2]], 65723/637009920],
[[[1, 6], [2, 9], [3, 2], [8, 1]], 2539/1698693120],
[[[1, 6], [2, 9], [3, 2], [10, 1]], 1853/176947200],
[[[1, 6], [2, 9], [3, 3], [4, 1]], 3425/1528823808],
[[[1, 6], [2, 9], [3, 3], [6, 1]], 3325/382205952],
[[[1, 6], [2, 9], [4, 1], [6, 3]], 267223/3822059520],
[[[1, 6], [2, 9], [4, 2], [5, 1]], 269129/7549747200],
[[[1, 6], [2, 9], [4, 2], [6, 2]], 21431561/101921587200],
[[[1, 6], [2, 9], [4, 2], [8, 1]], 3799775/21743271936],
[[[1, 6], [2, 9], [4, 2], [10, 1]], 13380023/84934656000],
[[[1, 6], [2, 9], [4, 2], [12, 1]], 763/106168320],
[[[1, 6], [2, 9], [4, 3], [6, 1]], 2867035/10871635968],
[[[1, 6], [2, 9], [5, 1], [6, 2]], 14363/530841600],
[[[1, 6], [2, 9], [5, 1], [8, 1]], 251/94371840],
[[[1, 6], [2, 9], [5, 1], [10, 1]], 18049/442368000],
[[[1, 6], [2, 9], [6, 2], [8, 1]], 17921/849346560],
[[[1, 6], [2, 9], [6, 2], [10, 1]], 487/19660800],
[[[1, 6], [2, 9], [8, 1], [10, 1]], 8903/707788800],
[[[1, 6], [2, 11], [3, 1], [4, 2]], 289/20971520],
[[[1, 6], [2, 11], [3, 1], [5, 1]], 2239/12740198400],
[[[1, 6], [2, 11], [3, 1], [6, 2]], 859201/30576476160],
[[[1, 6], [2, 11], [3, 1], [8, 1]], 16387/20384317440],
[[[1, 6], [2, 11], [3, 1], [10, 1]], 41767/8493465600],
[[[1, 6], [2, 11], [3, 2], [4, 1]], 36331/20384317440],
[[[1, 6], [2, 11], [3, 2], [6, 1]], 142943/30576476160],
[[[1, 6], [2, 11], [4, 1], [5, 1]], 41803/16986931200],
[[[1, 6], [2, 11], [4, 1], [6, 2]], 1311977/24461180928],
[[[1, 6], [2, 11], [4, 1], [8, 1]], 13699493/1630745395200],
[[[1, 6], [2, 11], [4, 1], [10, 1]], 803987/33973862400],
[[[1, 6], [2, 11], [4, 2], [6, 1]], 88724987/1223059046400],
[[[1, 6], [2, 11], [5, 1], [6, 1]], 84329/25480396800],
[[[1, 6], [2, 11], [6, 1], [8, 1]], 225533/40768634880],
[[[1, 6], [2, 11], [6, 1], [10, 1]], 155731/10616832000],
[[[1, 6], [2, 13], [3, 1], [4, 1]], 674813/815372697600],
[[[1, 6], [2, 13], [3, 1], [6, 1]], 326243/203843174400],
[[[1, 6], [2, 13], [4, 1], [6, 1]], 18341639/2446118092800],
[[[1, 7], [2, 2], [3, 1], [4, 6]], 62219/8493465600],
[[[1, 7], [2, 2], [3, 2], [4, 5]], 7/2097152],
[[[1, 7], [2, 2], [3, 3], [4, 4]], 119/21233664],
[[[1, 7], [2, 2], [3, 3], [8, 2]], 1/221184],
[[[1, 7], [2, 2], [3, 4], [4, 3]], 29/3981312],
[[[1, 7], [2, 2], [3, 4], [9, 1]], 5/27648],
[[[1, 7], [2, 2], [3, 5], [4, 2]], 13/1990656],
[[[1, 7], [2, 2], [3, 5], [6, 2]], 1201/4478976],
[[[1, 7], [2, 2], [3, 5], [8, 1]], 1/497664],
[[[1, 7], [2, 2], [3, 5], [10, 1]], 1/311040],
[[[1, 7], [2, 2], [3, 6], [4, 1]], 47/9953280],
[[[1, 7], [2, 2], [3, 6], [6, 1]], 2891/67184640],
[[[1, 7], [2, 2], [4, 1], [5, 3]], 1/32000],
[[[1, 7], [2, 2], [4, 1], [8, 3]], 119/15728640],
[[[1, 7], [2, 2], [4, 3], [5, 2]], 13/307200],
[[[1, 7], [2, 2], [4, 3], [8, 2]], 2239/31457280],
[[[1, 7], [2, 2], [4, 3], [12, 2]], 41/6635520],
[[[1, 7], [2, 2], [4, 3], [16, 1]], 5/262144],
[[[1, 7], [2, 2], [4, 3], [20, 1]], 41/1843200],
[[[1, 7], [2, 2], [4, 5], [5, 1]], 41/5242880],
[[[1, 7], [2, 2], [4, 5], [8, 1]], 211/9437184],
[[[1, 7], [2, 2], [4, 5], [12, 1]], 757/53084160],
[[[1, 7], [2, 2], [4, 6], [6, 1]], 5413/6370099200],
[[[1, 7], [2, 2], [5, 3], [6, 1]], 1/72000],
[[[1, 7], [2, 4], [3, 1], [4, 5]], 25981/283115520],
[[[1, 7], [2, 4], [3, 2], [4, 4]], 2465/25165824],
[[[1, 7], [2, 4], [3, 2], [5, 2]], 13/2764800],
[[[1, 7], [2, 4], [3, 2], [6, 4]], 265/15925248],
[[[1, 7], [2, 4], [3, 2], [8, 2]], 25/1179648],
[[[1, 7], [2, 4], [3, 2], [10, 2]], 1/307200],
[[[1, 7], [2, 4], [3, 3], [4, 3]], 2543/31850496],
[[[1, 7], [2, 4], [3, 3], [6, 3]], 9685/35831808],
[[[1, 7], [2, 4], [3, 4], [4, 2]], 365/7962624],
[[[1, 7], [2, 4], [3, 4], [5, 1]], 13/9953280],
[[[1, 7], [2, 4], [3, 4], [6, 2]], 9445/23887872],
[[[1, 7], [2, 4], [3, 4], [8, 1]], 13/2654208],
[[[1, 7], [2, 4], [3, 4], [10, 1]], 29/1658880],
[[[1, 7], [2, 4], [3, 5], [4, 1]], 71/11943936],
[[[1, 7], [2, 4], [3, 5], [6, 1]], 1811/35831808],
[[[1, 7], [2, 4], [4, 2], [5, 2]], 167/1228800],
[[[1, 7], [2, 4], [4, 2], [6, 4]], 17/238878720],
[[[1, 7], [2, 4], [4, 2], [8, 2]], 185681/452984832],
[[[1, 7], [2, 4], [4, 2], [10, 2]], 1/9216000],
[[[1, 7], [2, 4], [4, 2], [12, 2]], 631/79626240],
[[[1, 7], [2, 4], [4, 2], [16, 1]], 97/983040],
[[[1, 7], [2, 4], [4, 2], [20, 1]], 631/22118400],
[[[1, 7], [2, 4], [4, 3], [6, 3]], 43/53084160],
[[[1, 7], [2, 4], [4, 4], [5, 1]], 22763/188743680],
[[[1, 7], [2, 4], [4, 4], [6, 2]], 13037/849346560],
[[[1, 7], [2, 4], [4, 4], [8, 1]], 12535/25165824],
[[[1, 7], [2, 4], [4, 4], [10, 1]], 2609/78643200],
[[[1, 7], [2, 4], [4, 4], [12, 1]], 24539/159252480],
[[[1, 7], [2, 4], [4, 5], [6, 1]], 31423/849346560],
[[[1, 7], [2, 4], [5, 1], [6, 4]], 1/9953280],
[[[1, 7], [2, 4], [5, 1], [8, 2]], 19/983040],
[[[1, 7], [2, 4], [5, 1], [10, 2]], 41/768000],
[[[1, 7], [2, 4], [5, 2], [6, 2]], 1/51200],
[[[1, 7], [2, 4], [5, 2], [8, 1]], 1/40960],
[[[1, 7], [2, 4], [5, 2], [10, 1]], 7/76800],
[[[1, 7], [2, 4], [6, 2], [8, 2]], 17/7077888],
[[[1, 7], [2, 4], [8, 1], [16, 1]], 631/35389440],
[[[1, 7], [2, 4], [8, 2], [10, 1]], 3/655360],
[[[1, 7], [2, 6], [3, 1], [4, 4]], 164651/452984832],
[[[1, 7], [2, 6], [3, 1], [5, 2]], 1/216000],
[[[1, 7], [2, 6], [3, 1], [6, 4]], 371/59719680],
[[[1, 7], [2, 6], [3, 1], [8, 2]], 547/14155776],
[[[1, 7], [2, 6], [3, 1], [10, 2]], 13/921600],
[[[1, 7], [2, 6], [3, 2], [4, 3]], 43207/169869312],
[[[1, 7], [2, 6], [3, 2], [6, 3]], 11/49152],
[[[1, 7], [2, 6], [3, 3], [4, 2]], 20059/238878720],
[[[1, 7], [2, 6], [3, 3], [5, 1]], 1/388800],
[[[1, 7], [2, 6], [3, 3], [6, 2]], 3899/11943936],
[[[1, 7], [2, 6], [3, 3], [8, 1]], 125/15925248],
[[[1, 7], [2, 6], [3, 3], [10, 1]], 281/9953280],
[[[1, 7], [2, 6], [3, 4], [4, 1]], 1069/95551488],
[[[1, 7], [2, 6], [3, 4], [6, 1]], 115/3981312],
[[[1, 7], [2, 6], [4, 1], [5, 2]], 293/7372800],
[[[1, 7], [2, 6], [4, 1], [6, 4]], 277/159252480],
[[[1, 7], [2, 6], [4, 1], [8, 2]], 104441/377487360],
[[[1, 7], [2, 6], [4, 1], [10, 2]], 319/36864000],
[[[1, 7], [2, 6], [4, 1], [16, 1]], 1813/35389440],
[[[1, 7], [2, 6], [4, 2], [6, 3]], 2873/119439360],
[[[1, 7], [2, 6], [4, 3], [5, 1]], 2933/9437184],
[[[1, 7], [2, 6], [4, 3], [6, 2]], 1159/8847360],
[[[1, 7], [2, 6], [4, 3], [8, 1]], 159763903/135895449600],
[[[1, 7], [2, 6], [4, 3], [10, 1]], 17251/88473600],
[[[1, 7], [2, 6], [4, 3], [12, 1]], 2099/10616832],
[[[1, 7], [2, 6], [4, 4], [6, 1]], 1994527/6794772480],
[[[1, 7], [2, 6], [5, 1], [6, 3]], 25/1990656],
[[[1, 7], [2, 6], [5, 2], [6, 1]], 29/921600],
[[[1, 7], [2, 6], [6, 1], [8, 2]], 415/14155776],
[[[1, 7], [2, 6], [6, 1], [10, 2]], 1/3456000],
[[[1, 7], [2, 6], [6, 3], [8, 1]], 1/622080],
[[[1, 7], [2, 6], [6, 3], [10, 1]], 1/6220800],
[[[1, 7], [2, 8], [3, 1], [4, 3]], 19183981/67947724800],
[[[1, 7], [2, 8], [3, 1], [6, 3]], 78067/955514880],
[[[1, 7], [2, 8], [3, 2], [4, 2]], 2751629/27179089920],
[[[1, 7], [2, 8], [3, 2], [5, 1]], 2539/1061683200],
[[[1, 7], [2, 8], [3, 2], [6, 2]], 46091/212336640],
[[[1, 7], [2, 8], [3, 2], [8, 1]], 1853/283115520],
[[[1, 7], [2, 8], [3, 2], [10, 1]], 487/19660800],
[[[1, 7], [2, 8], [3, 3], [4, 1]], 1847/141557760],
[[[1, 7], [2, 8], [3, 3], [6, 1]], 40253/955514880],
[[[1, 7], [2, 8], [4, 1], [6, 3]], 16903/424673280],
[[[1, 7], [2, 8], [4, 2], [5, 1]], 2859751/22649241600],
[[[1, 7], [2, 8], [4, 2], [6, 2]], 19579841/101921587200],
[[[1, 7], [2, 8], [4, 2], [8, 1]], 19422187/45298483200],
[[[1, 7], [2, 8], [4, 2], [10, 1]], 15972023/84934656000],
[[[1, 7], [2, 8], [4, 2], [12, 1]], 2689/106168320],
[[[1, 7], [2, 8], [4, 3], [6, 1]], 25671421/67947724800],
[[[1, 7], [2, 8], [5, 1], [6, 2]], 17921/530841600],
[[[1, 7], [2, 8], [5, 1], [8, 1]], 5621/707788800],
[[[1, 7], [2, 8], [5, 1], [10, 1]], 45163/442368000],
[[[1, 7], [2, 8], [6, 2], [8, 1]], 487/31457280],
[[[1, 7], [2, 8], [6, 2], [10, 1]], 1853/176947200],
[[[1, 7], [2, 8], [8, 1], [10, 1]], 1819/141557760],
[[[1, 7], [2, 10], [3, 1], [4, 2]], 219679/4076863488],
[[[1, 7], [2, 10], [3, 1], [5, 1]], 16387/12740198400],
[[[1, 7], [2, 10], [3, 1], [6, 2]], 2825653/50960793600],
[[[1, 7], [2, 10], [3, 1], [8, 1]], 42791/13589544960],
[[[1, 7], [2, 10], [3, 1], [10, 1]], 93899/8493465600],
[[[1, 7], [2, 10], [3, 2], [4, 1]], 388979/40768634880],
[[[1, 7], [2, 10], [3, 2], [6, 1]], 216467/10192158720],
[[[1, 7], [2, 10], [4, 1], [5, 1]], 72547/6794772480],
[[[1, 7], [2, 10], [4, 1], [6, 2]], 46087/679477248],
[[[1, 7], [2, 10], [4, 1], [8, 1]], 47171549/1630745395200],
[[[1, 7], [2, 10], [4, 1], [10, 1]], 1557029/42467328000],
[[[1, 7], [2, 10], [4, 1], [12, 1]], 1/26542080],
[[[1, 7], [2, 10], [4, 2], [6, 1]], 168328463/1223059046400],
[[[1, 7], [2, 10], [5, 1], [6, 1]], 225533/25480396800],
[[[1, 7], [2, 10], [6, 1], [8, 1]], 157651/16986931200],
[[[1, 7], [2, 10], [6, 1], [10, 1]], 167311/10616832000],
[[[1, 7], [2, 12], [3, 1], [4, 1]], 3168691/815372697600],
[[[1, 7], [2, 12], [3, 1], [6, 1]], 3349033/611529523200],
[[[1, 7], [2, 12], [4, 1], [6, 1]], 14198611/815372697600],
[[[1, 7], [3, 1], [4, 5], [8, 1]], 5/18874368],
[[[1, 7], [3, 2], [4, 2], [5, 2]], 1/230400],
[[[1, 7], [3, 2], [4, 2], [8, 2]], 1/786432],
[[[1, 7], [3, 2], [4, 2], [12, 2]], 1/147456],
[[[1, 7], [3, 2], [4, 4], [5, 1]], 1/1474560],
[[[1, 7], [3, 2], [5, 1], [15, 1]], 1/11520],
[[[1, 7], [3, 3], [4, 3], [8, 1]], 1/663552],
[[[1, 7], [3, 4], [4, 2], [5, 1]], 1/829440],
[[[1, 7], [3, 5], [4, 1], [8, 1]], 1/497664],
[[[1, 7], [4, 2], [5, 1], [8, 2]], 1/1966080],
[[[1, 7], [4, 2], [8, 1], [16, 1]], 1/786432],
[[[1, 8], [2, 1], [3, 1], [4, 6]], 1/8388608],
[[[1, 8], [2, 1], [3, 1], [5, 3]], 1/72000],
[[[1, 8], [2, 1], [3, 2], [4, 5]], 11/18874368],
[[[1, 8], [2, 1], [3, 3], [4, 4]], 11/14155776],
[[[1, 8], [2, 1], [3, 3], [5, 2]], 1/86400],
[[[1, 8], [2, 1], [3, 4], [4, 3]], 1/497664],
[[[1, 8], [2, 1], [3, 4], [9, 1]], 13/165888],
[[[1, 8], [2, 1], [3, 5], [4, 2]], 1/746496],
[[[1, 8], [2, 1], [3, 5], [5, 1]], 1/311040],
[[[1, 8], [2, 1], [3, 5], [8, 1]], 1/497664],
[[[1, 8], [2, 1], [3, 6], [4, 1]], 47/9953280],
[[[1, 8], [2, 1], [3, 6], [6, 1]], 31/746496],
[[[1, 8], [2, 1], [4, 1], [5, 3]], 1/32000],
[[[1, 8], [2, 1], [4, 3], [5, 2]], 1/76800],
[[[1, 8], [2, 1], [4, 3], [8, 2]], 13/18874368],
[[[1, 8], [2, 1], [4, 3], [12, 2]], 1/3317760],
[[[1, 8], [2, 1], [4, 3], [16, 1]], 1/786432],
[[[1, 8], [2, 1], [4, 3], [20, 1]], 1/921600],
[[[1, 8], [2, 1], [4, 5], [5, 1]], 23/15728640],
[[[1, 8], [2, 1], [4, 5], [8, 1]], 2561/3019898880],
[[[1, 8], [2, 1], [4, 5], [12, 1]], 49/53084160],
[[[1, 8], [2, 3], [3, 1], [4, 5]], 341/14155776],
[[[1, 8], [2, 3], [3, 2], [4, 4]], 1589/56623104],
[[[1, 8], [2, 3], [3, 2], [5, 2]], 1/51200],
[[[1, 8], [2, 3], [3, 2], [8, 2]], 23/2359296],
[[[1, 8], [2, 3], [3, 3], [4, 3]], 1283/31850496],
[[[1, 8], [2, 3], [3, 3], [6, 3]], 65/3981312],
[[[1, 8], [2, 3], [3, 4], [4, 2]], 343/7962624],
[[[1, 8], [2, 3], [3, 4], [5, 1]], 13/1658880],
[[[1, 8], [2, 3], [3, 4], [6, 2]], 25661/143327232],
[[[1, 8], [2, 3], [3, 4], [8, 1]], 29/2654208],
[[[1, 8], [2, 3], [3, 4], [10, 1]], 25/1990656],
[[[1, 8], [2, 3], [3, 5], [4, 1]], 191/11943936],
[[[1, 8], [2, 3], [3, 5], [6, 1]], 2387/35831808],
[[[1, 8], [2, 3], [4, 2], [5, 2]], 167/1228800],
[[[1, 8], [2, 3], [4, 2], [8, 2]], 8719/167772160],
[[[1, 8], [2, 3], [4, 2], [12, 2]], 1/983040],
[[[1, 8], [2, 3], [4, 2], [16, 1]], 41/2949120],
[[[1, 8], [2, 3], [4, 2], [20, 1]], 3/819200],
[[[1, 8], [2, 3], [4, 3], [6, 3]], 1/17694720],
[[[1, 8], [2, 3], [4, 4], [5, 1]], 10709/235929600],
[[[1, 8], [2, 3], [4, 4], [6, 2]], 2369/6794772480],
[[[1, 8], [2, 3], [4, 4], [8, 1]], 8213/125829120],
[[[1, 8], [2, 3], [4, 4], [10, 1]], 107/629145600],
[[[1, 8], [2, 3], [4, 4], [12, 1]], 281/17694720],
[[[1, 8], [2, 3], [4, 5], [6, 1]], 227/42467328],
[[[1, 8], [2, 3], [5, 1], [8, 2]], 13/1966080],
[[[1, 8], [2, 3], [5, 2], [6, 2]], 13/2764800],
[[[1, 8], [2, 3], [5, 2], [8, 1]], 1/40960],
[[[1, 8], [2, 3], [5, 2], [10, 1]], 13/768000],
[[[1, 8], [2, 3], [8, 1], [16, 1]], 3/1310720],
[[[1, 8], [2, 5], [3, 1], [4, 4]], 75139/377487360],
[[[1, 8], [2, 5], [3, 1], [5, 2]], 107/5529600],
[[[1, 8], [2, 5], [3, 1], [6, 4]], 53/119439360],
[[[1, 8], [2, 5], [3, 1], [8, 2]], 1/46080],
[[[1, 8], [2, 5], [3, 1], [10, 2]], 7/3072000],
[[[1, 8], [2, 5], [3, 2], [4, 3]], 12829/56623104],
[[[1, 8], [2, 5], [3, 2], [6, 3]], 409/7464960],
[[[1, 8], [2, 5], [3, 3], [4, 2]], 18107/127401984],
[[[1, 8], [2, 5], [3, 3], [5, 1]], 25/1990656],
[[[1, 8], [2, 5], [3, 3], [6, 2]], 1631/7464960],
[[[1, 8], [2, 5], [3, 3], [8, 1]], 281/15925248],
[[[1, 8], [2, 5], [3, 3], [10, 1]], 11/331776],
[[[1, 8], [2, 5], [3, 4], [4, 1]], 3169/95551488],
[[[1, 8], [2, 5], [3, 4], [6, 1]], 4435/71663616],
[[[1, 8], [2, 5], [4, 1], [5, 2]], 569/7372800],
[[[1, 8], [2, 5], [4, 1], [6, 4]], 17/159252480],
[[[1, 8], [2, 5], [4, 1], [8, 2]], 119497/1132462080],
[[[1, 8], [2, 5], [4, 1], [10, 2]], 19/36864000],
[[[1, 8], [2, 5], [4, 1], [16, 1]], 631/35389440],
[[[1, 8], [2, 5], [4, 2], [6, 3]], 433/141557760],
[[[1, 8], [2, 5], [4, 3], [5, 1]], 11497/47185920],
[[[1, 8], [2, 5], [4, 3], [6, 2]], 337/11796480],
[[[1, 8], [2, 5], [4, 3], [8, 1]], 46474549/108716359680],
[[[1, 8], [2, 5], [4, 3], [10, 1]], 1901/44236800],
[[[1, 8], [2, 5], [4, 3], [12, 1]], 2947/53084160],
[[[1, 8], [2, 5], [4, 4], [6, 1]], 67507/754974720],
[[[1, 8], [2, 5], [5, 1], [6, 3]], 1/388800],
[[[1, 8], [2, 5], [5, 2], [6, 1]], 191/5529600],
[[[1, 8], [2, 5], [6, 1], [8, 2]], 257/35389440],
[[[1, 8], [2, 5], [6, 3], [8, 1]], 1/9953280],
[[[1, 8], [2, 7], [3, 1], [4, 3]], 25671421/67947724800],
[[[1, 8], [2, 7], [3, 1], [6, 3]], 40253/955514880],
[[[1, 8], [2, 7], [3, 2], [4, 2]], 19579841/101921587200],
[[[1, 8], [2, 7], [3, 2], [5, 1]], 1853/176947200],
[[[1, 8], [2, 7], [3, 2], [6, 2]], 46091/212336640],
[[[1, 8], [2, 7], [3, 2], [8, 1]], 487/31457280],
[[[1, 8], [2, 7], [3, 2], [10, 1]], 17921/530841600],
[[[1, 8], [2, 7], [3, 3], [4, 1]], 16903/424673280],
[[[1, 8], [2, 7], [3, 3], [6, 1]], 78067/955514880],
[[[1, 8], [2, 7], [4, 1], [6, 3]], 1847/141557760],
[[[1, 8], [2, 7], [4, 2], [5, 1]], 15972023/84934656000],
[[[1, 8], [2, 7], [4, 2], [6, 2]], 2751629/27179089920],
[[[1, 8], [2, 7], [4, 2], [8, 1]], 19422187/45298483200],
[[[1, 8], [2, 7], [4, 2], [10, 1]], 2859751/22649241600],
[[[1, 8], [2, 7], [4, 2], [12, 1]], 2689/106168320],
[[[1, 8], [2, 7], [4, 3], [6, 1]], 19183981/67947724800],
[[[1, 8], [2, 7], [5, 1], [6, 2]], 487/19660800],
[[[1, 8], [2, 7], [5, 1], [8, 1]], 1819/141557760],
[[[1, 8], [2, 7], [5, 1], [10, 1]], 45163/442368000],
[[[1, 8], [2, 7], [6, 2], [8, 1]], 1853/283115520],
[[[1, 8], [2, 7], [6, 2], [10, 1]], 2539/1061683200],
[[[1, 8], [2, 7], [8, 1], [10, 1]], 5621/707788800],
[[[1, 8], [2, 9], [3, 1], [4, 2]], 107147089/815372697600],
[[[1, 8], [2, 9], [3, 1], [5, 1]], 43303/8493465600],
[[[1, 8], [2, 9], [3, 1], [6, 2]], 946019/12740198400],
[[[1, 8], [2, 9], [3, 1], [8, 1]], 6533/905969664],
[[[1, 8], [2, 9], [3, 1], [10, 1]], 169231/10616832000],
[[[1, 8], [2, 9], [3, 2], [4, 1]], 415757/13589544960],
[[[1, 8], [2, 9], [3, 2], [6, 1]], 1430969/25480396800],
[[[1, 8], [2, 9], [4, 1], [5, 1]], 972179/33973862400],
[[[1, 8], [2, 9], [4, 1], [6, 2]], 194107/3397386240],
[[[1, 8], [2, 9], [4, 1], [8, 1]], 66308989/1087163596800],
[[[1, 8], [2, 9], [4, 1], [10, 1]], 1735589/42467328000],
[[[1, 8], [2, 9], [4, 1], [12, 1]], 7/26542080],
[[[1, 8], [2, 9], [4, 2], [6, 1]], 47546231/271790899200],
[[[1, 8], [2, 9], [5, 1], [6, 1]], 157651/10616832000],
[[[1, 8], [2, 9], [6, 1], [8, 1]], 173071/16986931200],
[[[1, 8], [2, 9], [6, 1], [10, 1]], 19087/1698693120],
[[[1, 8], [2, 11], [3, 1], [4, 1]], 9878843/815372697600],
[[[1, 8], [2, 11], [3, 1], [6, 1]], 322373/24461180928],
[[[1, 8], [2, 11], [4, 1], [6, 1]], 23244347/815372697600],
[[[1, 9], [2, 2], [3, 1], [4, 5]], 323/167772160],
[[[1, 9], [2, 2], [3, 2], [4, 4]], 1511/283115520],
[[[1, 9], [2, 2], [3, 2], [5, 2]], 17/460800],
[[[1, 9], [2, 2], [3, 2], [8, 2]], 1/786432],
[[[1, 9], [2, 2], [3, 3], [4, 3]], 431/39813120],
[[[1, 9], [2, 2], [3, 4], [4, 2]], 103/7962624],
[[[1, 9], [2, 2], [3, 4], [5, 1]], 29/1658880],
[[[1, 9], [2, 2], [3, 4], [6, 2]], 2417/143327232],
[[[1, 9], [2, 2], [3, 4], [8, 1]], 125/15925248],
[[[1, 9], [2, 2], [3, 4], [10, 1]], 17/9953280],
[[[1, 9], [2, 2], [3, 5], [4, 1]], 103/7962624],
[[[1, 9], [2, 2], [3, 5], [6, 1]], 2617/71663616],
[[[1, 9], [2, 2], [4, 2], [5, 2]], 17/409600],
[[[1, 9], [2, 2], [4, 2], [8, 2]], 463/503316480],
[[[1, 9], [2, 2], [4, 2], [12, 2]], 1/26542080],
[[[1, 9], [2, 2], [4, 2], [16, 1]], 1/1474560],
[[[1, 9], [2, 2], [4, 2], [20, 1]], 1/7372800],
[[[1, 9], [2, 2], [4, 4], [5, 1]], 1987/235929600],
[[[1, 9], [2, 2], [4, 4], [6, 2]], 29/1358954496],
[[[1, 9], [2, 2], [4, 4], [8, 1]], 2089/603979776],
[[[1, 9], [2, 2], [4, 4], [10, 1]], 17/1887436800],
[[[1, 9], [2, 2], [4, 4], [12, 1]], 47/53084160],
[[[1, 9], [2, 2], [4, 5], [6, 1]], 107/1509949440],
[[[1, 9], [2, 2], [5, 1], [8, 2]], 1/1966080],
[[[1, 9], [2, 2], [5, 2], [6, 2]], 1/2764800],
[[[1, 9], [2, 2], [5, 2], [8, 1]], 13/1228800],
[[[1, 9], [2, 2], [5, 2], [10, 1]], 1/768000],
[[[1, 9], [2, 2], [8, 1], [16, 1]], 1/11796480],
[[[1, 9], [2, 4], [3, 1], [4, 4]], 17927/283115520],
[[[1, 9], [2, 4], [3, 1], [5, 2]], 191/5529600],
[[[1, 9], [2, 4], [3, 1], [6, 4]], 1/119439360],
[[[1, 9], [2, 4], [3, 1], [8, 2]], 19/2949120],
[[[1, 9], [2, 4], [3, 1], [10, 2]], 1/9216000],
[[[1, 9], [2, 4], [3, 2], [4, 3]], 2627/26542080],
[[[1, 9], [2, 4], [3, 2], [6, 3]], 139/29859840],
[[[1, 9], [2, 4], [3, 3], [4, 2]], 14731/127401984],
[[[1, 9], [2, 4], [3, 3], [5, 1]], 281/9953280],
[[[1, 9], [2, 4], [3, 3], [6, 2]], 749/9953280],
[[[1, 9], [2, 4], [3, 3], [8, 1]], 55/2654208],
[[[1, 9], [2, 4], [3, 3], [10, 1]], 31/1658880],
[[[1, 9], [2, 4], [3, 4], [4, 1]], 4681/95551488],
[[[1, 9], [2, 4], [3, 4], [6, 1]], 4843/71663616],
[[[1, 9], [2, 4], [4, 1], [5, 2]], 569/7372800],
[[[1, 9], [2, 4], [4, 1], [8, 2]], 3493/251658240],
[[[1, 9], [2, 4], [4, 1], [16, 1]], 3/1310720],
[[[1, 9], [2, 4], [4, 2], [6, 3]], 233/1274019840],
[[[1, 9], [2, 4], [4, 3], [5, 1]], 9541/88473600],
[[[1, 9], [2, 4], [4, 3], [6, 2]], 11959/5096079360],
[[[1, 9], [2, 4], [4, 3], [8, 1]], 529631/7247757312],
[[[1, 9], [2, 4], [4, 3], [10, 1]], 2377/1415577600],
[[[1, 9], [2, 4], [4, 3], [12, 1]], 109/17694720],
[[[1, 9], [2, 4], [4, 4], [6, 1]], 48871/3397386240],
[[[1, 9], [2, 4], [5, 1], [6, 3]], 1/6220800],
[[[1, 9], [2, 4], [5, 2], [6, 1]], 107/5529600],
[[[1, 9], [2, 4], [6, 1], [8, 2]], 17/35389440],
[[[1, 9], [2, 6], [3, 1], [4, 3]], 2867035/10871635968],
[[[1, 9], [2, 6], [3, 1], [6, 3]], 3325/382205952],
[[[1, 9], [2, 6], [3, 2], [4, 2]], 21431561/101921587200],
[[[1, 9], [2, 6], [3, 2], [5, 1]], 487/19660800],
[[[1, 9], [2, 6], [3, 2], [6, 2]], 65723/637009920],
[[[1, 9], [2, 6], [3, 2], [8, 1]], 17921/849346560],
[[[1, 9], [2, 6], [3, 2], [10, 1]], 14363/530841600],
[[[1, 9], [2, 6], [3, 3], [4, 1]], 267223/3822059520],
[[[1, 9], [2, 6], [3, 3], [6, 1]], 85343/955514880],
[[[1, 9], [2, 6], [4, 1], [6, 3]], 3425/1528823808],
[[[1, 9], [2, 6], [4, 2], [5, 1]], 13380023/84934656000],
[[[1, 9], [2, 6], [4, 2], [6, 2]], 2179291/81537269760],
[[[1, 9], [2, 6], [4, 2], [8, 1]], 3799775/21743271936],
[[[1, 9], [2, 6], [4, 2], [10, 1]], 269129/7549747200],
[[[1, 9], [2, 6], [4, 2], [12, 1]], 763/106168320],
[[[1, 9], [2, 6], [4, 3], [6, 1]], 16365157/163074539520],
[[[1, 9], [2, 6], [5, 1], [6, 2]], 1853/176947200],
[[[1, 9], [2, 6], [5, 1], [8, 1]], 8903/707788800],
[[[1, 9], [2, 6], [5, 1], [10, 1]], 18049/442368000],
[[[1, 9], [2, 6], [6, 2], [8, 1]], 2539/1698693120],
[[[1, 9], [2, 6], [6, 2], [10, 1]], 91/353894400],
[[[1, 9], [2, 6], [8, 1], [10, 1]], 251/94371840],
[[[1, 9], [2, 8], [3, 1], [4, 2]], 47546231/271790899200],
[[[1, 9], [2, 8], [3, 1], [5, 1]], 19087/1698693120],
[[[1, 9], [2, 8], [3, 1], [6, 2]], 1430969/25480396800],
[[[1, 9], [2, 8], [3, 1], [8, 1]], 173071/16986931200],
[[[1, 9], [2, 8], [3, 1], [10, 1]], 157651/10616832000],
[[[1, 9], [2, 8], [3, 2], [4, 1]], 194107/3397386240],
[[[1, 9], [2, 8], [3, 2], [6, 1]], 946019/12740198400],
[[[1, 9], [2, 8], [4, 1], [5, 1]], 1735589/42467328000],
[[[1, 9], [2, 8], [4, 1], [6, 2]], 415757/13589544960],
[[[1, 9], [2, 8], [4, 1], [8, 1]], 66308989/1087163596800],
[[[1, 9], [2, 8], [4, 1], [10, 1]], 972179/33973862400],
[[[1, 9], [2, 8], [4, 1], [12, 1]], 7/26542080],
[[[1, 9], [2, 8], [4, 2], [6, 1]], 107147089/815372697600],
[[[1, 9], [2, 8], [5, 1], [6, 1]], 169231/10616832000],
[[[1, 9], [2, 8], [6, 1], [8, 1]], 6533/905969664],
[[[1, 9], [2, 8], [6, 1], [10, 1]], 43303/8493465600],
[[[1, 9], [2, 10], [3, 1], [4, 1]], 41642653/1630745395200],
[[[1, 9], [2, 10], [3, 1], [6, 1]], 26999243/1223059046400],
[[[1, 9], [2, 10], [4, 1], [6, 1]], 54449021/1630745395200],
[[[1, 9], [3, 1], [4, 2], [5, 2]], 1/230400],
[[[1, 9], [3, 1], [4, 2], [8, 2]], 1/23592960],
[[[1, 9], [3, 1], [4, 4], [5, 1]], 1/2359296],
[[[1, 9], [3, 2], [4, 3], [8, 1]], 13/35389440],
[[[1, 9], [3, 3], [4, 2], [5, 1]], 1/414720],
[[[1, 9], [3, 4], [4, 1], [8, 1]], 17/15925248],
[[[1, 9], [4, 1], [5, 2], [8, 1]], 1/1228800],
[[[1, 9], [4, 3], [5, 1], [8, 1]], 1/7372800],
[[[1, 10], [2, 1], [3, 1], [4, 5]], 299/1509949440],
[[[1, 10], [2, 1], [3, 2], [4, 4]], 83/251658240],
[[[1, 10], [2, 1], [3, 2], [5, 2]], 23/921600],
[[[1, 10], [2, 1], [3, 3], [4, 3]], 7/4976640],
[[[1, 10], [2, 1], [3, 4], [4, 2]], 367/238878720],
[[[1, 10], [2, 1], [3, 4], [5, 1]], 25/1990656],
[[[1, 10], [2, 1], [3, 4], [8, 1]], 17/15925248],
[[[1, 10], [2, 1], [3, 5], [4, 1]], 19/7962624],
[[[1, 10], [2, 1], [3, 5], [6, 1]], 95/23887872],
[[[1, 10], [2, 1], [4, 2], [5, 2]], 1/576000],
[[[1, 10], [2, 1], [4, 2], [8, 2]], 43/4529848320],
[[[1, 10], [2, 1], [4, 4], [5, 1]], 107/629145600],
[[[1, 10], [2, 1], [4, 4], [8, 1]], 107/1811939328],
[[[1, 10], [2, 1], [4, 5], [6, 1]], 17/4529848320],
[[[1, 10], [2, 1], [5, 2], [8, 1]], 1/1228800],
[[[1, 10], [2, 3], [3, 1], [4, 4]], 50257/4529848320],
[[[1, 10], [2, 3], [3, 1], [5, 2]], 29/921600],
[[[1, 10], [2, 3], [3, 1], [8, 2]], 7/7864320],
[[[1, 10], [2, 3], [3, 2], [4, 3]], 2693/106168320],
[[[1, 10], [2, 3], [3, 2], [6, 3]], 1/9953280],
[[[1, 10], [2, 3], [3, 3], [4, 2]], 563/13271040],
[[[1, 10], [2, 3], [3, 3], [5, 1]], 11/331776],
[[[1, 10], [2, 3], [3, 3], [6, 2]], 359/35831808],
[[[1, 10], [2, 3], [3, 3], [8, 1]], 31/2654208],
[[[1, 10], [2, 3], [3, 3], [10, 1]], 193/49766400],
[[[1, 10], [2, 3], [3, 4], [4, 1]], 3253/95551488],
[[[1, 10], [2, 3], [3, 4], [6, 1]], 3157/89579520],
[[[1, 10], [2, 3], [4, 1], [5, 2]], 293/7372800],
[[[1, 10], [2, 3], [4, 1], [8, 2]], 437/754974720],
[[[1, 10], [2, 3], [4, 1], [16, 1]], 1/11796480],
[[[1, 10], [2, 3], [4, 3], [5, 1]], 127/5529600],
[[[1, 10], [2, 3], [4, 3], [6, 2]], 679/5096079360],
[[[1, 10], [2, 3], [4, 3], [8, 1]], 6941/1207959552],
[[[1, 10], [2, 3], [4, 3], [10, 1]], 121/1415577600],
[[[1, 10], [2, 3], [4, 3], [12, 1]], 1/3538944],
[[[1, 10], [2, 3], [4, 4], [6, 1]], 10093/13589544960],
[[[1, 10], [2, 3], [5, 2], [6, 1]], 1/216000],
[[[1, 10], [2, 5], [3, 1], [4, 3]], 1994537/18119393280],
[[[1, 10], [2, 5], [3, 1], [6, 3]], 4261/5733089280],
[[[1, 10], [2, 5], [3, 2], [4, 2]], 3830309/27179089920],
[[[1, 10], [2, 5], [3, 2], [5, 1]], 17921/530841600],
[[[1, 10], [2, 5], [3, 2], [6, 2]], 34867/1274019840],
[[[1, 10], [2, 5], [3, 2], [8, 1]], 14363/849346560],
[[[1, 10], [2, 5], [3, 2], [10, 1]], 4301/353894400],
[[[1, 10], [2, 5], [3, 3], [4, 1]], 279109/3822059520],
[[[1, 10], [2, 5], [3, 3], [6, 1]], 36383/573308928],
[[[1, 10], [2, 5], [4, 1], [6, 3]], 1303/7644119040],
[[[1, 10], [2, 5], [4, 2], [5, 1]], 2022631/22649241600],
[[[1, 10], [2, 5], [4, 2], [6, 2]], 29627/8153726976],
[[[1, 10], [2, 5], [4, 2], [8, 1]], 4159471/108716359680],
[[[1, 10], [2, 5], [4, 2], [10, 1]], 52331/11324620800],
[[[1, 10], [2, 5], [4, 2], [12, 1]], 1/1310720],
[[[1, 10], [2, 5], [4, 3], [6, 1]], 3376801/163074539520],
[[[1, 10], [2, 5], [5, 1], [6, 2]], 2539/1061683200],
[[[1, 10], [2, 5], [5, 1], [8, 1]], 5429/707788800],
[[[1, 10], [2, 5], [5, 1], [10, 1]], 467/58982400],
[[[1, 10], [2, 5], [6, 2], [8, 1]], 91/566231040],
[[[1, 10], [2, 5], [6, 2], [10, 1]], 43/3185049600],
[[[1, 10], [2, 5], [8, 1], [10, 1]], 41/94371840],
[[[1, 10], [2, 7], [3, 1], [4, 2]], 168328463/1223059046400],
[[[1, 10], [2, 7], [3, 1], [5, 1]], 167311/10616832000],
[[[1, 10], [2, 7], [3, 1], [6, 2]], 216467/10192158720],
[[[1, 10], [2, 7], [3, 1], [8, 1]], 157651/16986931200],
[[[1, 10], [2, 7], [3, 1], [10, 1]], 225533/25480396800],
[[[1, 10], [2, 7], [3, 2], [4, 1]], 46087/679477248],
[[[1, 10], [2, 7], [3, 2], [6, 1]], 2825653/50960793600],
[[[1, 10], [2, 7], [4, 1], [5, 1]], 1557029/42467328000],
[[[1, 10], [2, 7], [4, 1], [6, 2]], 388979/40768634880],
[[[1, 10], [2, 7], [4, 1], [8, 1]], 47171549/1630745395200],
[[[1, 10], [2, 7], [4, 1], [10, 1]], 72547/6794772480],
[[[1, 10], [2, 7], [4, 1], [12, 1]], 1/26542080],
[[[1, 10], [2, 7], [4, 2], [6, 1]], 219679/4076863488],
[[[1, 10], [2, 7], [5, 1], [6, 1]], 93899/8493465600],
[[[1, 10], [2, 7], [6, 1], [8, 1]], 42791/13589544960],
[[[1, 10], [2, 7], [6, 1], [10, 1]], 16387/12740198400],
[[[1, 10], [2, 9], [3, 1], [4, 1]], 54449021/1630745395200],
[[[1, 10], [2, 9], [3, 1], [6, 1]], 26999243/1223059046400],
[[[1, 10], [2, 9], [4, 1], [6, 1]], 41642653/1630745395200],
[[[1, 11], [2, 2], [3, 1], [4, 4]], 15833/13589544960],
[[[1, 11], [2, 2], [3, 1], [5, 2]], 13/921600],
[[[1, 11], [2, 2], [3, 1], [8, 2]], 1/23592960],
[[[1, 11], [2, 2], [3, 2], [4, 3]], 17879/5096079360],
[[[1, 11], [2, 2], [3, 3], [4, 2]], 517/79626240],
[[[1, 11], [2, 2], [3, 3], [5, 1]], 31/1658880],
[[[1, 11], [2, 2], [3, 3], [6, 2]], 67/179159040],
[[[1, 11], [2, 2], [3, 3], [8, 1]], 193/79626240],
[[[1, 11], [2, 2], [3, 3], [10, 1]], 13/49766400],
[[[1, 11], [2, 2], [3, 4], [4, 1]], 1517/159252480],
[[[1, 11], [2, 2], [3, 4], [6, 1]], 77/11197440],
[[[1, 11], [2, 2], [4, 1], [5, 2]], 319/36864000],
[[[1, 11], [2, 2], [4, 1], [8, 2]], 43/2264924160],
[[[1, 11], [2, 2], [4, 3], [5, 1]], 2377/1415577600],
[[[1, 11], [2, 2], [4, 3], [8, 1]], 1337/6039797760],
[[[1, 11], [2, 2], [4, 4], [6, 1]], 511/13589544960],
[[[1, 11], [2, 2], [5, 2], [6, 1]], 1/3456000],
[[[1, 11], [2, 4], [3, 1], [4, 3]], 2201633/81537269760],
[[[1, 11], [2, 4], [3, 1], [6, 3]], 41/1146617856],
[[[1, 11], [2, 4], [3, 2], [4, 2]], 297629/5435817984],
[[[1, 11], [2, 4], [3, 2], [5, 1]], 14363/530841600],
[[[1, 11], [2, 4], [3, 2], [6, 2]], 14587/3822059520],
[[[1, 11], [2, 4], [3, 2], [8, 1]], 4301/566231040],
[[[1, 11], [2, 4], [3, 2], [10, 1]], 943/353894400],
[[[1, 11], [2, 4], [3, 3], [4, 1]], 334373/7644119040],
[[[1, 11], [2, 4], [3, 3], [6, 1]], 153071/5733089280],
[[[1, 11], [2, 4], [4, 1], [6, 3]], 43/7644119040],
[[[1, 11], [2, 4], [4, 2], [5, 1]], 220489/7549747200],
[[[1, 11], [2, 4], [4, 2], [6, 2]], 3197/13589544960],
[[[1, 11], [2, 4], [4, 2], [8, 1]], 53803/10871635968],
[[[1, 11], [2, 4], [4, 2], [10, 1]], 3043/11324620800],
[[[1, 11], [2, 4], [4, 2], [12, 1]], 1/35389440],
[[[1, 11], [2, 4], [4, 3], [6, 1]], 63803/27179089920],
[[[1, 11], [2, 4], [5, 1], [6, 2]], 91/353894400],
[[[1, 11], [2, 4], [5, 1], [8, 1]], 251/94371840],
[[[1, 11], [2, 4], [5, 1], [10, 1]], 49/58982400],
[[[1, 11], [2, 4], [6, 2], [8, 1]], 43/5096079360],
[[[1, 11], [2, 4], [6, 2], [10, 1]], 1/3185049600],
[[[1, 11], [2, 4], [8, 1], [10, 1]], 43/1415577600],
[[[1, 11], [2, 6], [3, 1], [4, 2]], 88724987/1223059046400],
[[[1, 11], [2, 6], [3, 1], [5, 1]], 155731/10616832000],
[[[1, 11], [2, 6], [3, 1], [6, 2]], 142943/30576476160],
[[[1, 11], [2, 6], [3, 1], [8, 1]], 225533/40768634880],
[[[1, 11], [2, 6], [3, 1], [10, 1]], 84329/25480396800],
[[[1, 11], [2, 6], [3, 2], [4, 1]], 1311977/24461180928],
[[[1, 11], [2, 6], [3, 2], [6, 1]], 859201/30576476160],
[[[1, 11], [2, 6], [4, 1], [5, 1]], 803987/33973862400],
[[[1, 11], [2, 6], [4, 1], [6, 2]], 36331/20384317440],
[[[1, 11], [2, 6], [4, 1], [8, 1]], 13699493/1630745395200],
[[[1, 11], [2, 6], [4, 1], [10, 1]], 41803/16986931200],
[[[1, 11], [2, 6], [4, 2], [6, 1]], 289/20971520],
[[[1, 11], [2, 6], [5, 1], [6, 1]], 41767/8493465600],
[[[1, 11], [2, 6], [6, 1], [8, 1]], 16387/20384317440],
[[[1, 11], [2, 6], [6, 1], [10, 1]], 2239/12740198400],
[[[1, 11], [2, 8], [3, 1], [4, 1]], 23244347/815372697600],
[[[1, 11], [2, 8], [3, 1], [6, 1]], 322373/24461180928],
[[[1, 11], [2, 8], [4, 1], [6, 1]], 9878843/815372697600],
[[[1, 11], [3, 1], [4, 3], [8, 1]], 19/1698693120],
[[[1, 11], [3, 2], [4, 2], [5, 1]], 13/22118400],
[[[1, 11], [3, 3], [4, 1], [8, 1]], 13/79626240],
[[[1, 12], [2, 1], [3, 1], [4, 4]], 11/566231040],
[[[1, 12], [2, 1], [3, 1], [5, 2]], 7/3072000],
[[[1, 12], [2, 1], [3, 2], [4, 3]], 1319/5096079360],
[[[1, 12], [2, 1], [3, 3], [4, 2]], 4433/11466178560],
[[[1, 12], [2, 1], [3, 3], [5, 1]], 193/49766400],
[[[1, 12], [2, 1], [3, 3], [8, 1]], 13/79626240],
[[[1, 12], [2, 1], [3, 4], [4, 1]], 137/159252480],
[[[1, 12], [2, 1], [3, 4], [6, 1]], 13/29859840],
[[[1, 12], [2, 1], [4, 1], [5, 2]], 19/36864000],
[[[1, 12], [2, 1], [4, 1], [8, 2]], 1/2264924160],
[[[1, 12], [2, 1], [4, 3], [5, 1]], 121/1415577600],
[[[1, 12], [2, 1], [4, 3], [8, 1]], 1411/543581798400],
[[[1, 12], [2, 3], [3, 1], [4, 3]], 283961/81537269760],
[[[1, 12], [2, 3], [3, 1], [6, 3]], 1/1911029760],
[[[1, 12], [2, 3], [3, 2], [4, 2]], 440303/40768634880],
[[[1, 12], [2, 3], [3, 2], [5, 1]], 4301/353894400],
[[[1, 12], [2, 3], [3, 2], [6, 2]], 505/2293235712],
[[[1, 12], [2, 3], [3, 2], [8, 1]], 943/566231040],
[[[1, 12], [2, 3], [3, 2], [10, 1]], 839/3185049600],
[[[1, 12], [2, 3], [3, 3], [4, 1]], 20971/1528823808],
[[[1, 12], [2, 3], [3, 3], [6, 1]], 18823/3439853568],
[[[1, 12], [2, 3], [4, 1], [6, 3]], 1/7644119040],
[[[1, 12], [2, 3], [4, 2], [5, 1]], 52331/11324620800],
[[[1, 12], [2, 3], [4, 2], [6, 2]], 6571/1223059046400],
[[[1, 12], [2, 3], [4, 2], [8, 1]], 20111/54358179840],
[[[1, 12], [2, 3], [4, 2], [10, 1]], 1411/339738624000],
[[[1, 12], [2, 3], [4, 3], [6, 1]], 79/603979776],
[[[1, 12], [2, 3], [5, 1], [6, 2]], 43/3185049600],
[[[1, 12], [2, 3], [5, 1], [8, 1]], 41/94371840],
[[[1, 12], [2, 3], [5, 1], [10, 1]], 43/884736000],
[[[1, 12], [2, 3], [6, 2], [8, 1]], 1/5096079360],
[[[1, 12], [2, 3], [8, 1], [10, 1]], 1/1415577600],
[[[1, 12], [2, 5], [3, 1], [4, 2]], 4107853/163074539520],
[[[1, 12], [2, 5], [3, 1], [5, 1]], 225533/25480396800],
[[[1, 12], [2, 5], [3, 1], [6, 2]], 9571/15288238080],
[[[1, 12], [2, 5], [3, 1], [8, 1]], 84329/40768634880],
[[[1, 12], [2, 5], [3, 1], [10, 1]], 2981/4246732800],
[[[1, 12], [2, 5], [3, 2], [4, 1]], 3336961/122305904640],
[[[1, 12], [2, 5], [3, 2], [6, 1]], 220183/22932357120],
[[[1, 12], [2, 5], [4, 1], [5, 1]], 337391/33973862400],
[[[1, 12], [2, 5], [4, 1], [6, 2]], 767/4076863488],
[[[1, 12], [2, 5], [4, 1], [8, 1]], 2906479/1630745395200],
[[[1, 12], [2, 5], [4, 1], [10, 1]], 5491/16986931200],
[[[1, 12], [2, 5], [4, 2], [6, 1]], 5374697/2446118092800],
[[[1, 12], [2, 5], [5, 1], [6, 1]], 16387/12740198400],
[[[1, 12], [2, 5], [6, 1], [8, 1]], 2239/20384317440],
[[[1, 12], [2, 5], [6, 1], [10, 1]], 1411/127401984000],
[[[1, 12], [2, 7], [3, 1], [4, 1]], 14198611/815372697600],
[[[1, 12], [2, 7], [3, 1], [6, 1]], 3349033/611529523200],
[[[1, 12], [2, 7], [4, 1], [6, 1]], 3168691/815372697600],
[[[1, 13], [2, 2], [3, 1], [4, 3]], 155411/815372697600],
[[[1, 13], [2, 2], [3, 2], [4, 2]], 37231/40768634880],
[[[1, 13], [2, 2], [3, 2], [5, 1]], 943/353894400],
[[[1, 13], [2, 2], [3, 2], [6, 2]], 47/11466178560],
[[[1, 13], [2, 2], [3, 2], [8, 1]], 839/5096079360],
[[[1, 13], [2, 2], [3, 2], [10, 1]], 29/3185049600],
[[[1, 13], [2, 2], [3, 3], [4, 1]], 5161/2548039680],
[[[1, 13], [2, 2], [3, 3], [6, 1]], 8579/17199267840],
[[[1, 13], [2, 2], [4, 2], [5, 1]], 3043/11324620800],
[[[1, 13], [2, 2], [4, 2], [6, 2]], 151/1223059046400],
[[[1, 13], [2, 2], [4, 2], [8, 1]], 2719/181193932800],
[[[1, 13], [2, 2], [4, 2], [10, 1]], 31/339738624000],
[[[1, 13], [2, 2], [4, 3], [6, 1]], 1411/815372697600],
[[[1, 13], [2, 2], [5, 1], [6, 2]], 1/3185049600],
[[[1, 13], [2, 2], [5, 1], [8, 1]], 43/1415577600],
[[[1, 13], [2, 2], [5, 1], [10, 1]], 1/884736000],
[[[1, 13], [2, 4], [3, 1], [4, 2]], 839609/163074539520],
[[[1, 13], [2, 4], [3, 1], [5, 1]], 84329/25480396800],
[[[1, 13], [2, 4], [3, 1], [6, 2]], 437/9555148800],
[[[1, 13], [2, 4], [3, 1], [8, 1]], 2981/6794772480],
[[[1, 13], [2, 4], [3, 1], [10, 1]], 337/4246732800],
[[[1, 13], [2, 4], [3, 2], [4, 1]], 505961/61152952320],
[[[1, 13], [2, 4], [3, 2], [6, 1]], 86873/45864714240],
[[[1, 13], [2, 4], [4, 1], [5, 1]], 41803/16986931200],
[[[1, 13], [2, 4], [4, 1], [6, 2]], 413/40768634880],
[[[1, 13], [2, 4], [4, 1], [8, 1]], 393667/1630745395200],
[[[1, 13], [2, 4], [4, 1], [10, 1]], 3373/169869312000],
[[[1, 13], [2, 4], [4, 2], [6, 1]], 478733/2446118092800],
[[[1, 13], [2, 4], [5, 1], [6, 1]], 2239/12740198400],
[[[1, 13], [2, 4], [6, 1], [8, 1]], 1411/203843174400],
[[[1, 13], [2, 4], [6, 1], [10, 1]], 31/127401984000],
[[[1, 13], [2, 6], [3, 1], [4, 1]], 18341639/2446118092800],
[[[1, 13], [2, 6], [3, 1], [6, 1]], 326243/203843174400],
[[[1, 13], [2, 6], [4, 1], [6, 1]], 674813/815372697600],
[[[1, 13], [3, 1], [4, 2], [5, 1]], 19/1061683200],
[[[1, 13], [3, 2], [4, 1], [8, 1]], 29/5096079360],
[[[1, 13], [4, 1], [5, 1], [8, 1]], 1/1415577600],
[[[1, 14], [2, 1], [3, 1], [4, 3]], 5711/815372697600],
[[[1, 14], [2, 1], [3, 2], [4, 2]], 28691/1223059046400],
[[[1, 14], [2, 1], [3, 2], [5, 1]], 839/3185049600],
[[[1, 14], [2, 1], [3, 2], [8, 1]], 29/5096079360],
[[[1, 14], [2, 1], [3, 3], [4, 1]], 283/2548039680],
[[[1, 14], [2, 1], [3, 3], [6, 1]], 29/1911029760],
[[[1, 14], [2, 1], [4, 2], [5, 1]], 1411/339738624000],
[[[1, 14], [2, 1], [4, 2], [8, 1]], 59/181193932800],
[[[1, 14], [2, 1], [4, 3], [6, 1]], 31/815372697600],
[[[1, 14], [2, 1], [5, 1], [8, 1]], 1/1415577600],
[[[1, 14], [2, 3], [3, 1], [4, 2]], 109853/203843174400],
[[[1, 14], [2, 3], [3, 1], [5, 1]], 2981/4246732800],
[[[1, 14], [2, 3], [3, 1], [6, 2]], 737/458647142400],
[[[1, 14], [2, 3], [3, 1], [8, 1]], 337/6794772480],
[[[1, 14], [2, 3], [3, 1], [10, 1]], 551/127401984000],
[[[1, 14], [2, 3], [3, 2], [4, 1]], 84809/61152952320],
[[[1, 14], [2, 3], [3, 2], [6, 1]], 89351/458647142400],
[[[1, 14], [2, 3], [4, 1], [5, 1]], 5491/16986931200],
[[[1, 14], [2, 3], [4, 1], [6, 2]], 1/4529848320],
[[[1, 14], [2, 3], [4, 1], [8, 1]], 3107/181193932800],
[[[1, 14], [2, 3], [4, 1], [10, 1]], 73/169869312000],
[[[1, 14], [2, 3], [4, 2], [6, 1]], 3757/407686348800],
[[[1, 14], [2, 3], [5, 1], [6, 1]], 1411/127401984000],
[[[1, 14], [2, 3], [6, 1], [8, 1]], 31/203843174400],
[[[1, 14], [2, 5], [3, 1], [4, 1]], 5159147/2446118092800],
[[[1, 14], [2, 5], [3, 1], [6, 1]], 108799/366917713920],
[[[1, 14], [2, 5], [4, 1], [6, 1]], 28867/271790899200],
[[[1, 15], [2, 2], [3, 1], [4, 2]], 4871/203843174400],
[[[1, 15], [2, 2], [3, 1], [5, 1]], 337/4246732800],
[[[1, 15], [2, 2], [3, 1], [6, 2]], 11/458647142400],
[[[1, 15], [2, 2], [3, 1], [8, 1]], 551/203843174400],
[[[1, 15], [2, 2], [3, 1], [10, 1]], 11/127401984000],
[[[1, 15], [2, 2], [3, 2], [4, 1]], 4693/40768634880],
[[[1, 15], [2, 2], [3, 2], [6, 1]], 4217/458647142400],
[[[1, 15], [2, 2], [4, 1], [5, 1]], 3373/169869312000],
[[[1, 15], [2, 2], [4, 1], [8, 1]], 107/181193932800],
[[[1, 15], [2, 2], [4, 2], [6, 1]], 1/5033164800],
[[[1, 15], [2, 2], [5, 1], [6, 1]], 31/127401984000],
[[[1, 15], [2, 4], [3, 1], [4, 1]], 885191/2446118092800],
[[[1, 15], [2, 4], [3, 1], [6, 1]], 58541/1834588569600],
[[[1, 15], [2, 4], [4, 1], [6, 1]], 18727/2446118092800],
[[[1, 15], [3, 1], [4, 1], [8, 1]], 11/203843174400],
[[[1, 16], [2, 1], [3, 1], [4, 2]], 893/2446118092800],
[[[1, 16], [2, 1], [3, 1], [5, 1]], 551/127401984000],
[[[1, 16], [2, 1], [3, 1], [8, 1]], 11/203843174400],
[[[1, 16], [2, 1], [3, 2], [4, 1]], 29/8153726976],
[[[1, 16], [2, 1], [3, 2], [6, 1]], 11/76441190400],
[[[1, 16], [2, 1], [4, 1], [5, 1]], 73/169869312000],
[[[1, 16], [2, 1], [4, 1], [8, 1]], 73/6522981580800],
[[[1, 16], [2, 3], [3, 1], [4, 1]], 86447/2446118092800],
[[[1, 16], [2, 3], [3, 1], [6, 1]], 3361/1834588569600],
[[[1, 16], [2, 3], [4, 1], [6, 1]], 751/2446118092800],
[[[1, 17], [2, 2], [3, 1], [4, 1]], 5699/3261490790400],
[[[1, 17], [2, 2], [3, 1], [6, 1]], 71/1467670855680],
[[[1, 17], [2, 2], [4, 1], [6, 1]], 73/9784472371200],
[[[1, 18], [2, 1], [3, 1], [4, 1]], 107/3261490790400],
[[[1, 18], [2, 1], [3, 1], [6, 1]], 1/2446118092800],
[[[1, 18], [2, 1], [4, 1], [6, 1]], 1/9784472371200],
[[[2, 1], [4, 3], [8, 1], [12, 3]], 1/3456],
[[[2, 1], [4, 3], [8, 2], [16, 1]], 1/49152],
[[[2, 1], [4, 3], [8, 3], [12, 1]], 1/12288],
[[[2, 1], [4, 5], [8, 1], [12, 2]], 1/12288],
[[[2, 1], [4, 5], [8, 1], [20, 1]], 1/30720],
[[[2, 1], [4, 7], [8, 1], [12, 1]], 1/368640],
[[[2, 3], [4, 2], [6, 2], [18, 2]], 1/3456],
[[[2, 3], [4, 2], [8, 2], [12, 2]], 1/18432],
[[[2, 3], [4, 2], [8, 2], [20, 1]], 1/5120],
[[[2, 3], [4, 3], [6, 1], [8, 3]], 7/294912],
[[[2, 3], [4, 4], [6, 2], [8, 2]], 1/589824],
[[[2, 3], [4, 4], [6, 2], [12, 2]], 1/12288],
[[[2, 3], [4, 4], [8, 1], [16, 1]], 1/196608],
[[[2, 3], [4, 4], [8, 2], [10, 1]], 1/163840],
[[[2, 3], [4, 4], [8, 2], [12, 1]], 5/147456],
[[[2, 3], [4, 4], [12, 1], [20, 1]], 1/3840],
[[[2, 3], [4, 7], [6, 1], [8, 1]], 1/8847360],
[[[2, 5], [4, 1], [8, 2], [16, 1]], 7/196608],
[[[2, 5], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[2, 5], [4, 2], [6, 3], [12, 2]], 1/4608],
[[[2, 5], [4, 2], [6, 4], [18, 1]], 1/13824],
[[[2, 5], [4, 3], [6, 4], [8, 1]], 1/1327104],
[[[2, 5], [4, 3], [8, 1], [10, 2]], 1/102400],
[[[2, 5], [4, 3], [8, 1], [12, 2]], 7/442368],
[[[2, 5], [4, 3], [8, 1], [20, 1]], 7/122880],
[[[2, 5], [4, 4], [6, 1], [8, 2]], 1/147456],
[[[2, 5], [4, 4], [6, 1], [12, 2]], 1/55296],
[[[2, 5], [4, 4], [6, 1], [20, 1]], 1/15360],
[[[2, 5], [4, 5], [6, 2], [8, 1]], 1/2359296],
[[[2, 5], [4, 5], [8, 1], [10, 1]], 1/655360],
[[[2, 5], [4, 5], [8, 1], [12, 1]], 7/1769472],
[[[2, 5], [4, 6], [6, 1], [12, 1]], 1/221184],
[[[2, 5], [6, 3], [10, 1], [30, 1]], 1/360],
[[[2, 7], [4, 1], [6, 5], [8, 1]], 1/497664],
[[[2, 7], [4, 2], [6, 2], [8, 2]], 1/786432],
[[[2, 7], [4, 2], [6, 2], [10, 2]], 1/230400],
[[[2, 7], [4, 2], [6, 2], [12, 2]], 1/147456],
[[[2, 7], [4, 2], [6, 4], [10, 1]], 1/829440],
[[[2, 7], [4, 2], [8, 1], [16, 1]], 1/786432],
[[[2, 7], [4, 2], [8, 2], [10, 1]], 1/1966080],
[[[2, 7], [4, 3], [6, 3], [8, 1]], 1/663552],
[[[2, 7], [4, 4], [6, 2], [10, 1]], 1/1474560],
[[[2, 7], [4, 5], [6, 1], [8, 1]], 5/18874368],
[[[2, 7], [6, 2], [10, 1], [30, 1]], 1/11520],
[[[2, 9], [4, 1], [6, 4], [8, 1]], 17/15925248],
[[[2, 9], [4, 1], [8, 1], [10, 2]], 1/1228800],
[[[2, 9], [4, 2], [6, 1], [8, 2]], 1/23592960],
[[[2, 9], [4, 2], [6, 1], [10, 2]], 1/230400],
[[[2, 9], [4, 2], [6, 3], [10, 1]], 1/414720],
[[[2, 9], [4, 3], [6, 2], [8, 1]], 13/35389440],
[[[2, 9], [4, 3], [8, 1], [10, 1]], 1/7372800],
[[[2, 9], [4, 4], [6, 1], [10, 1]], 1/2359296],
[[[2, 11], [4, 1], [6, 3], [8, 1]], 13/79626240],
[[[2, 11], [4, 2], [6, 2], [10, 1]], 13/22118400],
[[[2, 11], [4, 3], [6, 1], [8, 1]], 19/1698693120],
[[[2, 13], [4, 1], [6, 2], [8, 1]], 29/5096079360],
[[[2, 13], [4, 1], [8, 1], [10, 1]], 1/1415577600],
[[[2, 13], [4, 2], [6, 1], [10, 1]], 19/1061683200],
[[[2, 15], [4, 1], [6, 1], [8, 1]], 11/203843174400],
[[[1, 1], [2, 2], [3, 1], [4, 3], [12, 3]], 1/5184],
[[[1, 1], [2, 2], [3, 1], [4, 5], [8, 2]], 5/1179648],
[[[1, 1], [2, 2], [3, 1], [4, 5], [12, 2]], 1/18432],
[[[1, 1], [2, 2], [3, 1], [4, 5], [20, 1]], 1/46080],
[[[1, 1], [2, 2], [3, 1], [4, 7], [12, 1]], 1/552960],
[[[1, 1], [2, 2], [4, 2], [5, 1], [8, 3]], 1/20480],
[[[1, 1], [2, 2], [4, 2], [6, 2], [18, 2]], 1/3456],
[[[1, 1], [2, 2], [4, 2], [8, 2], [12, 2]], 11/18432],
[[[1, 1], [2, 2], [4, 2], [8, 2], [16, 1]], 5/16384],
[[[1, 1], [2, 2], [4, 2], [8, 2], [20, 1]], 3/5120],
[[[1, 1], [2, 2], [4, 2], [8, 3], [10, 1]], 1/20480],
[[[1, 1], [2, 2], [4, 2], [8, 3], [12, 1]], 1/6144],
[[[1, 1], [2, 2], [4, 3], [6, 1], [8, 3]], 7/294912],
[[[1, 1], [2, 2], [4, 3], [6, 1], [12, 3]], 1/5184],
[[[1, 1], [2, 2], [4, 4], [6, 2], [8, 2]], 1/589824],
[[[1, 1], [2, 2], [4, 4], [6, 2], [12, 2]], 1/12288],
[[[1, 1], [2, 2], [4, 4], [8, 1], [12, 2]], 7/12288],
[[[1, 1], [2, 2], [4, 4], [8, 1], [16, 1]], 7/196608],
[[[1, 1], [2, 2], [4, 4], [8, 1], [20, 1]], 1/2048],
[[[1, 1], [2, 2], [4, 4], [8, 2], [10, 1]], 1/163840],
[[[1, 1], [2, 2], [4, 4], [8, 2], [12, 1]], 73/147456],
[[[1, 1], [2, 2], [4, 4], [12, 1], [20, 1]], 1/1280],
[[[1, 1], [2, 2], [4, 5], [6, 1], [8, 2]], 5/1179648],
[[[1, 1], [2, 2], [4, 5], [6, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 2], [4, 5], [6, 1], [20, 1]], 1/46080],
[[[1, 1], [2, 2], [4, 6], [5, 1], [8, 1]], 1/3686400],
[[[1, 1], [2, 2], [4, 6], [8, 1], [10, 1]], 1/3686400],
[[[1, 1], [2, 2], [4, 6], [8, 1], [12, 1]], 1/16384],
[[[1, 1], [2, 2], [4, 7], [6, 1], [8, 1]], 1/8847360],
[[[1, 1], [2, 2], [4, 7], [6, 1], [12, 1]], 1/552960],
[[[1, 1], [2, 2], [5, 1], [8, 2], [16, 1]], 1/2560],
[[[1, 1], [2, 2], [8, 2], [10, 1], [16, 1]], 1/2560],
[[[1, 1], [2, 4], [3, 1], [4, 2], [8, 3]], 1/73728],
[[[1, 1], [2, 4], [3, 1], [4, 6], [8, 1]], 151/212336640],
[[[1, 1], [2, 4], [3, 1], [4, 7], [6, 1]], 1/8847360],
[[[1, 1], [2, 4], [3, 1], [8, 2], [16, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 1], [6, 2], [18, 2]], 1/576],
[[[1, 1], [2, 4], [4, 1], [8, 2], [16, 1]], 67/196608],
[[[1, 1], [2, 4], [4, 1], [8, 3], [12, 1]], 1/12288],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 3]], 7/98304],
[[[1, 1], [2, 4], [4, 2], [6, 3], [8, 2]], 1/221184],
[[[1, 1], [2, 4], [4, 2], [6, 3], [12, 2]], 1/4608],
[[[1, 1], [2, 4], [4, 2], [6, 4], [18, 1]], 1/13824],
[[[1, 1], [2, 4], [4, 3], [5, 1], [8, 2]], 1/81920],
[[[1, 1], [2, 4], [4, 3], [5, 1], [12, 2]], 1/23040],
[[[1, 1], [2, 4], [4, 3], [5, 1], [20, 1]], 1/6400],
[[[1, 1], [2, 4], [4, 3], [6, 2], [8, 2]], 5/147456],
[[[1, 1], [2, 4], [4, 3], [6, 2], [12, 2]], 89/165888],
[[[1, 1], [2, 4], [4, 3], [6, 2], [20, 1]], 1/5760],
[[[1, 1], [2, 4], [4, 3], [6, 4], [8, 1]], 1/1327104],
[[[1, 1], [2, 4], [4, 3], [8, 1], [10, 2]], 1/102400],
[[[1, 1], [2, 4], [4, 3], [8, 1], [12, 2]], 91/442368],
[[[1, 1], [2, 4], [4, 3], [8, 1], [16, 1]], 23/294912],
[[[1, 1], [2, 4], [4, 3], [8, 1], [20, 1]], 43/122880],
[[[1, 1], [2, 4], [4, 3], [8, 2], [10, 1]], 1/16384],
[[[1, 1], [2, 4], [4, 3], [8, 2], [12, 1]], 19/147456],
[[[1, 1], [2, 4], [4, 3], [10, 1], [12, 2]], 1/23040],
[[[1, 1], [2, 4], [4, 3], [10, 1], [20, 1]], 1/6400],
[[[1, 1], [2, 4], [4, 3], [12, 1], [16, 1]], 1/6144],
[[[1, 1], [2, 4], [4, 3], [12, 1], [20, 1]], 1/11520],
[[[1, 1], [2, 4], [4, 4], [6, 1], [8, 2]], 23/196608],
[[[1, 1], [2, 4], [4, 4], [6, 1], [12, 2]], 1/18432],
[[[1, 1], [2, 4], [4, 4], [6, 1], [20, 1]], 1/5120],
[[[1, 1], [2, 4], [4, 4], [6, 3], [8, 1]], 1/442368],
[[[1, 1], [2, 4], [4, 5], [5, 1], [12, 1]], 1/92160],
[[[1, 1], [2, 4], [4, 5], [6, 2], [8, 1]], 1/786432],
[[[1, 1], [2, 4], [4, 5], [6, 2], [12, 1]], 1/82944],
[[[1, 1], [2, 4], [4, 5], [8, 1], [10, 1]], 3/655360],
[[[1, 1], [2, 4], [4, 5], [8, 1], [12, 1]], 217/1769472],
[[[1, 1], [2, 4], [4, 5], [10, 1], [12, 1]], 1/92160],
[[[1, 1], [2, 4], [4, 6], [6, 1], [8, 1]], 293/70778880],
[[[1, 1], [2, 4], [4, 6], [6, 1], [12, 1]], 1/73728],
[[[1, 1], [2, 4], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 1], [2, 4], [6, 3], [10, 1], [30, 1]], 1/360],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 5]], 31/1990656],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 4]], 1/1990656],
[[[1, 1], [2, 6], [3, 1], [4, 3], [8, 2]], 7/4718592],
[[[1, 1], [2, 6], [3, 1], [4, 3], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [3, 1], [4, 3], [12, 2]], 1/221184],
[[[1, 1], [2, 6], [3, 1], [4, 3], [20, 1]], 1/61440],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 3]], 1/884736],
[[[1, 1], [2, 6], [3, 1], [4, 5], [6, 2]], 1/3538944],
[[[1, 1], [2, 6], [3, 1], [4, 5], [10, 1]], 1/983040],
[[[1, 1], [2, 6], [3, 1], [4, 5], [12, 1]], 1/884736],
[[[1, 1], [2, 6], [3, 1], [4, 6], [6, 1]], 1/6291456],
[[[1, 1], [2, 6], [3, 1], [6, 4], [18, 1]], 1/864],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 1], [2, 6], [4, 1], [6, 4], [18, 1]], 1/2304],
[[[1, 1], [2, 6], [4, 1], [6, 5], [8, 1]], 1/497664],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 2]], 23/2359296],
[[[1, 1], [2, 6], [4, 2], [6, 2], [10, 2]], 1/230400],
[[[1, 1], [2, 6], [4, 2], [6, 2], [12, 2]], 13/147456],
[[[1, 1], [2, 6], [4, 2], [6, 4], [8, 1]], 5/442368],
[[[1, 1], [2, 6], [4, 2], [6, 4], [10, 1]], 1/829440],
[[[1, 1], [2, 6], [4, 2], [8, 1], [10, 2]], 7/102400],
[[[1, 1], [2, 6], [4, 2], [8, 1], [12, 2]], 11/2211840],
[[[1, 1], [2, 6], [4, 2], [8, 1], [16, 1]], 43/786432],
[[[1, 1], [2, 6], [4, 2], [8, 1], [20, 1]], 11/614400],
[[[1, 1], [2, 6], [4, 2], [8, 2], [10, 1]], 13/1966080],
[[[1, 1], [2, 6], [4, 2], [8, 2], [12, 1]], 7/294912],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 2]], 127/4718592],
[[[1, 1], [2, 6], [4, 3], [6, 1], [10, 2]], 1/153600],
[[[1, 1], [2, 6], [4, 3], [6, 1], [12, 2]], 11/663552],
[[[1, 1], [2, 6], [4, 3], [6, 1], [16, 1]], 1/24576],
[[[1, 1], [2, 6], [4, 3], [6, 1], [20, 1]], 11/184320],
[[[1, 1], [2, 6], [4, 3], [6, 3], [8, 1]], 1/165888],
[[[1, 1], [2, 6], [4, 3], [6, 3], [10, 1]], 1/276480],
[[[1, 1], [2, 6], [4, 4], [6, 2], [8, 1]], 17/2359296],
[[[1, 1], [2, 6], [4, 4], [6, 2], [10, 1]], 1/491520],
[[[1, 1], [2, 6], [4, 4], [8, 1], [10, 1]], 7/393216],
[[[1, 1], [2, 6], [4, 4], [8, 1], [12, 1]], 221/8847360],
[[[1, 1], [2, 6], [4, 5], [6, 1], [8, 1]], 481/18874368],
[[[1, 1], [2, 6], [4, 5], [6, 1], [10, 1]], 1/983040],
[[[1, 1], [2, 6], [4, 5], [6, 1], [12, 1]], 83/2654208],
[[[1, 1], [2, 6], [6, 2], [10, 1], [30, 1]], 13/11520],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 5]], 1/746496],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 4]], 1/248832],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 3]], 1/995328],
[[[1, 1], [2, 8], [3, 1], [4, 4], [6, 2]], 5/7077888],
[[[1, 1], [2, 8], [3, 1], [4, 4], [8, 1]], 1/17694720],
[[[1, 1], [2, 8], [3, 1], [4, 5], [6, 1]], 5/28311552],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 1], [2, 8], [3, 1], [6, 3], [18, 1]], 1/27648],
[[[1, 1], [2, 8], [3, 1], [6, 4], [10, 1]], 1/25920],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 2]], 1/393216],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 2]], 1/23040],
[[[1, 1], [2, 8], [4, 1], [6, 4], [8, 1]], 125/15925248],
[[[1, 1], [2, 8], [4, 1], [6, 4], [10, 1]], 7/414720],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 2]], 13/1228800],
[[[1, 1], [2, 8], [4, 1], [8, 1], [16, 1]], 1/1474560],
[[[1, 1], [2, 8], [4, 1], [8, 2], [10, 1]], 1/983040],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 2]], 7/7864320],
[[[1, 1], [2, 8], [4, 2], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 8], [4, 2], [6, 3], [8, 1]], 19/1769472],
[[[1, 1], [2, 8], [4, 2], [6, 3], [10, 1]], 1/103680],
[[[1, 1], [2, 8], [4, 3], [6, 2], [8, 1]], 133/35389440],
[[[1, 1], [2, 8], [4, 3], [6, 2], [10, 1]], 1/92160],
[[[1, 1], [2, 8], [4, 3], [8, 1], [10, 1]], 1/460800],
[[[1, 1], [2, 8], [4, 3], [8, 1], [12, 1]], 1/1179648],
[[[1, 1], [2, 8], [4, 4], [6, 1], [8, 1]], 277/94371840],
[[[1, 1], [2, 8], [4, 4], [6, 1], [10, 1]], 11/3932160],
[[[1, 1], [2, 8], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 8], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 4]], 17/23887872],
[[[1, 1], [2, 10], [3, 1], [4, 1], [10, 2]], 1/1843200],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 3]], 13/13271040],
[[[1, 1], [2, 10], [3, 1], [4, 3], [6, 2]], 13/53084160],
[[[1, 1], [2, 10], [3, 1], [4, 3], [10, 1]], 1/11059200],
[[[1, 1], [2, 10], [3, 1], [4, 4], [6, 1]], 17/1132462080],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 2]], 1/460800],
[[[1, 1], [2, 10], [3, 1], [6, 3], [10, 1]], 1/92160],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 2]], 1/11796480],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 2]], 41/1843200],
[[[1, 1], [2, 10], [4, 1], [6, 3], [8, 1]], 193/79626240],
[[[1, 1], [2, 10], [4, 1], [6, 3], [10, 1]], 49/3317760],
[[[1, 1], [2, 10], [4, 2], [6, 2], [8, 1]], 13/5898240],
[[[1, 1], [2, 10], [4, 2], [6, 2], [10, 1]], 133/22118400],
[[[1, 1], [2, 10], [4, 2], [8, 1], [10, 1]], 23/29491200],
[[[1, 1], [2, 10], [4, 3], [6, 1], [8, 1]], 451/1698693120],
[[[1, 1], [2, 10], [4, 3], [6, 1], [10, 1]], 7/1638400],
[[[1, 1], [2, 10], [6, 2], [8, 1], [10, 1]], 1/245760],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 3]], 13/119439360],
[[[1, 1], [2, 12], [3, 1], [4, 2], [6, 2]], 19/637009920],
[[[1, 1], [2, 12], [3, 1], [4, 2], [8, 1]], 1/3397386240],
[[[1, 1], [2, 12], [3, 1], [4, 3], [6, 1]], 19/2548039680],
[[[1, 1], [2, 12], [3, 1], [6, 2], [10, 1]], 1/2764800],
[[[1, 1], [2, 12], [4, 1], [6, 2], [8, 1]], 839/5096079360],
[[[1, 1], [2, 12], [4, 1], [6, 2], [10, 1]], 13/4423680],
[[[1, 1], [2, 12], [4, 1], [8, 1], [10, 1]], 43/1415577600],
[[[1, 1], [2, 12], [4, 2], [6, 1], [8, 1]], 73/1132462080],
[[[1, 1], [2, 12], [4, 2], [6, 1], [10, 1]], 451/1061683200],
[[[1, 1], [2, 12], [6, 1], [8, 1], [10, 1]], 1/7372800],
[[[1, 1], [2, 14], [3, 1], [4, 1], [6, 2]], 29/7644119040],
[[[1, 1], [2, 14], [3, 1], [4, 1], [10, 1]], 1/2123366400],
[[[1, 1], [2, 14], [3, 1], [4, 2], [6, 1]], 31/203843174400],
[[[1, 1], [2, 14], [3, 1], [6, 1], [10, 1]], 1/530841600],
[[[1, 1], [2, 14], [4, 1], [6, 1], [8, 1]], 551/203843174400],
[[[1, 1], [2, 14], [4, 1], [6, 1], [10, 1]], 181/2123366400],
[[[1, 1], [2, 16], [3, 1], [4, 1], [6, 1]], 11/305764761600],
[[[1, 1], [4, 1], [8, 2], [12, 1], [16, 1]], 1/1536],
[[[1, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 1/960],
[[[1, 1], [4, 3], [8, 1], [12, 1], [24, 1]], 1/1536],
[[[1, 2], [2, 1], [3, 1], [4, 3], [8, 3]], 7/294912],
[[[1, 2], [2, 1], [3, 1], [4, 3], [12, 3]], 1/5184],
[[[1, 2], [2, 1], [3, 1], [4, 5], [8, 2]], 5/1179648],
[[[1, 2], [2, 1], [3, 1], [4, 5], [12, 2]], 1/18432],
[[[1, 2], [2, 1], [3, 1], [4, 5], [20, 1]], 1/46080],
[[[1, 2], [2, 1], [3, 1], [4, 7], [8, 1]], 1/8847360],
[[[1, 2], [2, 1], [3, 1], [4, 7], [12, 1]], 1/552960],
[[[1, 2], [2, 1], [3, 2], [4, 2], [9, 2]], 1/3456],
[[[1, 2], [2, 1], [3, 2], [4, 4], [8, 2]], 1/589824],
[[[1, 2], [2, 1], [3, 2], [4, 4], [12, 2]], 1/12288],
[[[1, 2], [2, 1], [4, 2], [5, 1], [8, 3]], 1/20480],
[[[1, 2], [2, 1], [4, 2], [8, 2], [12, 2]], 11/18432],
[[[1, 2], [2, 1], [4, 2], [8, 2], [16, 1]], 5/16384],
[[[1, 2], [2, 1], [4, 2], [8, 2], [20, 1]], 3/5120],
[[[1, 2], [2, 1], [4, 2], [8, 3], [10, 1]], 1/20480],
[[[1, 2], [2, 1], [4, 2], [8, 3], [12, 1]], 1/6144],
[[[1, 2], [2, 1], [4, 3], [6, 1], [12, 3]], 1/5184],
[[[1, 2], [2, 1], [4, 4], [5, 1], [8, 2]], 1/163840],
[[[1, 2], [2, 1], [4, 4], [8, 1], [12, 2]], 7/12288],
[[[1, 2], [2, 1], [4, 4], [8, 1], [16, 1]], 7/196608],
[[[1, 2], [2, 1], [4, 4], [8, 1], [20, 1]], 1/2048],
[[[1, 2], [2, 1], [4, 4], [8, 2], [12, 1]], 73/147456],
[[[1, 2], [2, 1], [4, 4], [12, 1], [20, 1]], 1/1280],
[[[1, 2], [2, 1], [4, 5], [6, 1], [8, 2]], 5/1179648],
[[[1, 2], [2, 1], [4, 5], [6, 1], [12, 2]], 1/18432],
[[[1, 2], [2, 1], [4, 5], [6, 1], [20, 1]], 1/46080],
[[[1, 2], [2, 1], [4, 6], [5, 1], [8, 1]], 1/3686400],
[[[1, 2], [2, 1], [4, 6], [8, 1], [10, 1]], 1/3686400],
[[[1, 2], [2, 1], [4, 6], [8, 1], [12, 1]], 1/16384],
[[[1, 2], [2, 1], [4, 7], [6, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 1], [5, 1], [8, 2], [16, 1]], 1/2560],
[[[1, 2], [2, 1], [8, 2], [10, 1], [16, 1]], 1/2560],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 3]], 1/18432],
[[[1, 2], [2, 3], [3, 1], [4, 4], [8, 2]], 67/1179648],
[[[1, 2], [2, 3], [3, 1], [4, 4], [12, 2]], 11/27648],
[[[1, 2], [2, 3], [3, 1], [4, 4], [16, 1]], 1/73728],
[[[1, 2], [2, 3], [3, 1], [4, 4], [20, 1]], 1/2560],
[[[1, 2], [2, 3], [3, 1], [4, 6], [5, 1]], 1/5529600],
[[[1, 2], [2, 3], [3, 1], [4, 6], [6, 2]], 1/9953280],
[[[1, 2], [2, 3], [3, 1], [4, 6], [8, 1]], 2149/212336640],
[[[1, 2], [2, 3], [3, 1], [4, 6], [10, 1]], 1/5529600],
[[[1, 2], [2, 3], [3, 1], [4, 6], [12, 1]], 5/110592],
[[[1, 2], [2, 3], [3, 1], [4, 7], [6, 1]], 1/5308416],
[[[1, 2], [2, 3], [3, 1], [6, 2], [18, 2]], 1/1296],
[[[1, 2], [2, 3], [3, 1], [8, 2], [16, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 2], [4, 5], [8, 1]], 5/2359296],
[[[1, 2], [2, 3], [3, 2], [4, 6], [6, 1]], 1/9953280],
[[[1, 2], [2, 3], [3, 2], [6, 1], [9, 2]], 1/1296],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 3]], 1/10240],
[[[1, 2], [2, 3], [4, 1], [6, 2], [18, 2]], 1/576],
[[[1, 2], [2, 3], [4, 1], [8, 2], [16, 1]], 35/32768],
[[[1, 2], [2, 3], [4, 1], [8, 3], [10, 1]], 1/10240],
[[[1, 2], [2, 3], [4, 1], [8, 3], [12, 1]], 1/3072],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 3]], 11/98304],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 2]], 13/49152],
[[[1, 2], [2, 3], [4, 3], [5, 1], [12, 2]], 1/7680],
[[[1, 2], [2, 3], [4, 3], [5, 1], [20, 1]], 3/6400],
[[[1, 2], [2, 3], [4, 3], [6, 2], [8, 2]], 5/147456],
[[[1, 2], [2, 3], [4, 3], [6, 2], [12, 2]], 89/165888],
[[[1, 2], [2, 3], [4, 3], [6, 2], [20, 1]], 1/5760],
[[[1, 2], [2, 3], [4, 3], [8, 1], [12, 2]], 7/8192],
[[[1, 2], [2, 3], [4, 3], [8, 1], [16, 1]], 161/294912],
[[[1, 2], [2, 3], [4, 3], [8, 1], [20, 1]], 23/20480],
[[[1, 2], [2, 3], [4, 3], [8, 2], [10, 1]], 77/245760],
[[[1, 2], [2, 3], [4, 3], [8, 2], [12, 1]], 235/147456],
[[[1, 2], [2, 3], [4, 3], [10, 1], [12, 2]], 1/7680],
[[[1, 2], [2, 3], [4, 3], [10, 1], [20, 1]], 3/6400],
[[[1, 2], [2, 3], [4, 3], [12, 1], [16, 1]], 1/2048],
[[[1, 2], [2, 3], [4, 3], [12, 1], [20, 1]], 7/11520],
[[[1, 2], [2, 3], [4, 4], [6, 1], [8, 2]], 197/1179648],
[[[1, 2], [2, 3], [4, 4], [6, 1], [12, 2]], 1/2304],
[[[1, 2], [2, 3], [4, 4], [6, 1], [16, 1]], 1/73728],
[[[1, 2], [2, 3], [4, 4], [6, 1], [20, 1]], 1/1920],
[[[1, 2], [2, 3], [4, 4], [6, 3], [8, 1]], 1/442368],
[[[1, 2], [2, 3], [4, 5], [5, 1], [8, 1]], 19/1966080],
[[[1, 2], [2, 3], [4, 5], [5, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 3], [4, 5], [6, 2], [8, 1]], 7/2359296],
[[[1, 2], [2, 3], [4, 5], [6, 2], [12, 1]], 1/82944],
[[[1, 2], [2, 3], [4, 5], [8, 1], [10, 1]], 5/393216],
[[[1, 2], [2, 3], [4, 5], [8, 1], [12, 1]], 11/16384],
[[[1, 2], [2, 3], [4, 5], [10, 1], [12, 1]], 1/30720],
[[[1, 2], [2, 3], [4, 6], [5, 1], [6, 1]], 1/5529600],
[[[1, 2], [2, 3], [4, 6], [6, 1], [8, 1]], 959/70778880],
[[[1, 2], [2, 3], [4, 6], [6, 1], [10, 1]], 1/5529600],
[[[1, 2], [2, 3], [4, 6], [6, 1], [12, 1]], 1/18432],
[[[1, 2], [2, 3], [6, 1], [8, 2], [16, 1]], 1/2048],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 3]], 1/36864],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 5]], 31/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 4]], 13/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 3], [8, 2]], 1121/14155776],
[[[1, 2], [2, 5], [3, 1], [4, 3], [10, 2]], 1/153600],
[[[1, 2], [2, 5], [3, 1], [4, 3], [12, 2]], 31/663552],
[[[1, 2], [2, 5], [3, 1], [4, 3], [20, 1]], 31/184320],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 3]], 13/2654208],
[[[1, 2], [2, 5], [3, 1], [4, 5], [6, 2]], 1/393216],
[[[1, 2], [2, 5], [3, 1], [4, 5], [8, 1]], 575/56623104],
[[[1, 2], [2, 5], [3, 1], [4, 5], [10, 1]], 1/327680],
[[[1, 2], [2, 5], [3, 1], [4, 5], [12, 1]], 31/2654208],
[[[1, 2], [2, 5], [3, 1], [4, 6], [6, 1]], 3245/509607936],
[[[1, 2], [2, 5], [3, 1], [6, 4], [18, 1]], 7/5184],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 4]], 1201/11943936],
[[[1, 2], [2, 5], [3, 2], [4, 2], [8, 2]], 17/7077888],
[[[1, 2], [2, 5], [3, 2], [4, 2], [10, 2]], 1/230400],
[[[1, 2], [2, 5], [3, 2], [4, 2], [12, 2]], 59/3981312],
[[[1, 2], [2, 5], [3, 2], [4, 2], [20, 1]], 1/34560],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 3]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [4, 4], [6, 2]], 35/5308416],
[[[1, 2], [2, 5], [3, 2], [4, 4], [10, 1]], 1/294912],
[[[1, 2], [2, 5], [3, 2], [4, 4], [12, 1]], 1/497664],
[[[1, 2], [2, 5], [3, 2], [4, 5], [6, 1]], 1/589824],
[[[1, 2], [2, 5], [3, 2], [5, 1], [15, 1]], 1/11520],
[[[1, 2], [2, 5], [3, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 2], [2, 5], [3, 2], [6, 3], [9, 1]], 1/1728],
[[[1, 2], [2, 5], [3, 2], [6, 3], [18, 1]], 1/1728],
[[[1, 2], [2, 5], [3, 2], [8, 1], [16, 1]], 1/55296],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 3]], 7/98304],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 2]], 1/110592],
[[[1, 2], [2, 5], [4, 1], [6, 4], [18, 1]], 1/2304],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 4]], 1/829440],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 2]], 19/655360],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 2]], 1/64000],
[[[1, 2], [2, 5], [4, 2], [5, 1], [12, 2]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [5, 1], [16, 1]], 1/10240],
[[[1, 2], [2, 5], [4, 2], [5, 1], [20, 1]], 1/19200],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 2]], 11/131072],
[[[1, 2], [2, 5], [4, 2], [6, 2], [12, 2]], 151/663552],
[[[1, 2], [2, 5], [4, 2], [6, 2], [16, 1]], 1/9216],
[[[1, 2], [2, 5], [4, 2], [6, 2], [20, 1]], 1/11520],
[[[1, 2], [2, 5], [4, 2], [6, 4], [8, 1]], 5/442368],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 2]], 7/102400],
[[[1, 2], [2, 5], [4, 2], [8, 1], [12, 2]], 191/2211840],
[[[1, 2], [2, 5], [4, 2], [8, 1], [16, 1]], 99/262144],
[[[1, 2], [2, 5], [4, 2], [8, 1], [20, 1]], 37/204800],
[[[1, 2], [2, 5], [4, 2], [8, 2], [10, 1]], 121/983040],
[[[1, 2], [2, 5], [4, 2], [8, 2], [12, 1]], 65/294912],
[[[1, 2], [2, 5], [4, 2], [10, 1], [12, 2]], 1/69120],
[[[1, 2], [2, 5], [4, 2], [10, 1], [16, 1]], 1/10240],
[[[1, 2], [2, 5], [4, 2], [10, 1], [20, 1]], 1/19200],
[[[1, 2], [2, 5], [4, 2], [12, 1], [16, 1]], 1/18432],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 2]], 2147/4718592],
[[[1, 2], [2, 5], [4, 3], [6, 1], [10, 2]], 1/153600],
[[[1, 2], [2, 5], [4, 3], [6, 1], [12, 2]], 71/663552],
[[[1, 2], [2, 5], [4, 3], [6, 1], [16, 1]], 1/8192],
[[[1, 2], [2, 5], [4, 3], [6, 1], [20, 1]], 71/184320],
[[[1, 2], [2, 5], [4, 3], [6, 3], [8, 1]], 1/36864],
[[[1, 2], [2, 5], [4, 3], [6, 3], [10, 1]], 1/276480],
[[[1, 2], [2, 5], [4, 4], [5, 1], [6, 2]], 1/1474560],
[[[1, 2], [2, 5], [4, 4], [5, 1], [8, 1]], 7/122880],
[[[1, 2], [2, 5], [4, 4], [5, 1], [10, 1]], 13/1228800],
[[[1, 2], [2, 5], [4, 4], [5, 1], [12, 1]], 19/276480],
[[[1, 2], [2, 5], [4, 4], [6, 2], [8, 1]], 625/7077888],
[[[1, 2], [2, 5], [4, 4], [6, 2], [10, 1]], 7/1474560],
[[[1, 2], [2, 5], [4, 4], [6, 2], [12, 1]], 13/165888],
[[[1, 2], [2, 5], [4, 4], [8, 1], [10, 1]], 15/131072],
[[[1, 2], [2, 5], [4, 4], [8, 1], [12, 1]], 4301/8847360],
[[[1, 2], [2, 5], [4, 4], [10, 1], [12, 1]], 19/276480],
[[[1, 2], [2, 5], [4, 5], [6, 1], [8, 1]], 1021/9437184],
[[[1, 2], [2, 5], [4, 5], [6, 1], [10, 1]], 1/327680],
[[[1, 2], [2, 5], [4, 5], [6, 1], [12, 1]], 287/2654208],
[[[1, 2], [2, 5], [5, 1], [8, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 5], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 2], [2, 5], [6, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 2], [2, 5], [6, 2], [10, 1], [30, 1]], 1/384],
[[[1, 2], [2, 5], [8, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 5]], 331/2985984],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 4]], 47/1990656],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 2]], 61/17694720],
[[[1, 2], [2, 7], [3, 1], [4, 2], [10, 2]], 7/153600],
[[[1, 2], [2, 7], [3, 1], [4, 2], [12, 2]], 13/9953280],
[[[1, 2], [2, 7], [3, 1], [4, 2], [16, 1]], 1/98304],
[[[1, 2], [2, 7], [3, 1], [4, 2], [20, 1]], 13/2764800],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 3]], 11/497664],
[[[1, 2], [2, 7], [3, 1], [4, 4], [6, 2]], 325/14155776],
[[[1, 2], [2, 7], [3, 1], [4, 4], [8, 1]], 121/17694720],
[[[1, 2], [2, 7], [3, 1], [4, 4], [10, 1]], 137/11796480],
[[[1, 2], [2, 7], [3, 1], [4, 4], [12, 1]], 283/39813120],
[[[1, 2], [2, 7], [3, 1], [4, 5], [6, 1]], 17/4718592],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 2]], 7/86400],
[[[1, 2], [2, 7], [3, 1], [6, 3], [18, 1]], 13/27648],
[[[1, 2], [2, 7], [3, 1], [6, 4], [8, 1]], 1/41472],
[[[1, 2], [2, 7], [3, 1], [6, 4], [10, 1]], 13/311040],
[[[1, 2], [2, 7], [3, 1], [8, 1], [16, 1]], 13/4423680],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 4]], 1/62208],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 3]], 49/1492992],
[[[1, 2], [2, 7], [3, 2], [4, 3], [6, 2]], 1/165888],
[[[1, 2], [2, 7], [3, 2], [4, 3], [8, 1]], 19/106168320],
[[[1, 2], [2, 7], [3, 2], [4, 4], [6, 1]], 37/42467328],
[[[1, 2], [2, 7], [3, 2], [6, 1], [10, 2]], 1/86400],
[[[1, 2], [2, 7], [3, 2], [6, 2], [9, 1]], 1/55296],
[[[1, 2], [2, 7], [3, 2], [6, 2], [18, 1]], 1/55296],
[[[1, 2], [2, 7], [3, 2], [6, 3], [10, 1]], 19/155520],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 2]], 23/1179648],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 2]], 1/23040],
[[[1, 2], [2, 7], [4, 1], [6, 4], [8, 1]], 19/884736],
[[[1, 2], [2, 7], [4, 1], [6, 4], [10, 1]], 7/414720],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 2]], 17/204800],
[[[1, 2], [2, 7], [4, 1], [8, 1], [16, 1]], 37/1474560],
[[[1, 2], [2, 7], [4, 1], [8, 2], [10, 1]], 13/983040],
[[[1, 2], [2, 7], [4, 1], [8, 2], [12, 1]], 11/1474560],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 3]], 1/414720],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 2]], 157/3932160],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 2]], 3/51200],
[[[1, 2], [2, 7], [4, 2], [6, 1], [12, 2]], 11/3317760],
[[[1, 2], [2, 7], [4, 2], [6, 1], [16, 1]], 11/294912],
[[[1, 2], [2, 7], [4, 2], [6, 1], [20, 1]], 11/921600],
[[[1, 2], [2, 7], [4, 2], [6, 3], [8, 1]], 95/1769472],
[[[1, 2], [2, 7], [4, 2], [6, 3], [10, 1]], 11/276480],
[[[1, 2], [2, 7], [4, 3], [5, 1], [8, 1]], 1/7372800],
[[[1, 2], [2, 7], [4, 3], [6, 2], [8, 1]], 11/262144],
[[[1, 2], [2, 7], [4, 3], [6, 2], [10, 1]], 7/184320],
[[[1, 2], [2, 7], [4, 3], [8, 1], [10, 1]], 67/983040],
[[[1, 2], [2, 7], [4, 3], [8, 1], [12, 1]], 21/655360],
[[[1, 2], [2, 7], [4, 4], [5, 1], [6, 1]], 1/2359296],
[[[1, 2], [2, 7], [4, 4], [6, 1], [8, 1]], 29491/283115520],
[[[1, 2], [2, 7], [4, 4], [6, 1], [10, 1]], 103/5898240],
[[[1, 2], [2, 7], [4, 4], [6, 1], [12, 1]], 521/13271040],
[[[1, 2], [2, 7], [5, 1], [6, 1], [10, 2]], 1/24000],
[[[1, 2], [2, 7], [5, 1], [6, 3], [10, 1]], 1/43200],
[[[1, 2], [2, 7], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 7], [6, 1], [8, 1], [16, 1]], 11/1474560],
[[[1, 2], [2, 7], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 2], [2, 7], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 4]], 713/23887872],
[[[1, 2], [2, 9], [3, 1], [4, 1], [10, 2]], 13/1843200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 3]], 223/13271040],
[[[1, 2], [2, 9], [3, 1], [4, 3], [6, 2]], 511/53084160],
[[[1, 2], [2, 9], [3, 1], [4, 3], [8, 1]], 67/188743680],
[[[1, 2], [2, 9], [3, 1], [4, 3], [10, 1]], 1/691200],
[[[1, 2], [2, 9], [3, 1], [4, 4], [6, 1]], 979/377487360],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 2]], 11/276480],
[[[1, 2], [2, 9], [3, 1], [6, 3], [8, 1]], 1/147456],
[[[1, 2], [2, 9], [3, 1], [6, 3], [10, 1]], 223/2488320],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 3]], 1/221184],
[[[1, 2], [2, 9], [3, 2], [4, 2], [6, 2]], 127/79626240],
[[[1, 2], [2, 9], [3, 2], [4, 2], [10, 1]], 19/66355200],
[[[1, 2], [2, 9], [3, 2], [4, 3], [6, 1]], 1/6635520],
[[[1, 2], [2, 9], [3, 2], [6, 2], [10, 1]], 1/184320],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 2]], 7/3932160],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 2]], 197/1843200],
[[[1, 2], [2, 9], [4, 1], [6, 3], [8, 1]], 37/1769472],
[[[1, 2], [2, 9], [4, 1], [6, 3], [10, 1]], 253/3317760],
[[[1, 2], [2, 9], [4, 2], [5, 1], [6, 2]], 13/22118400],
[[[1, 2], [2, 9], [4, 2], [5, 1], [10, 1]], 83/36864000],
[[[1, 2], [2, 9], [4, 2], [6, 2], [8, 1]], 143/5898240],
[[[1, 2], [2, 9], [4, 2], [6, 2], [10, 1]], 83/1474560],
[[[1, 2], [2, 9], [4, 2], [8, 1], [10, 1]], 383/29491200],
[[[1, 2], [2, 9], [4, 2], [8, 1], [12, 1]], 1/2211840],
[[[1, 2], [2, 9], [4, 3], [6, 1], [8, 1]], 3/262144],
[[[1, 2], [2, 9], [4, 3], [6, 1], [10, 1]], 463/14745600],
[[[1, 2], [2, 9], [5, 1], [6, 2], [10, 1]], 1/153600],
[[[1, 2], [2, 9], [6, 2], [8, 1], [10, 1]], 23/737280],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 3]], 389/59719680],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 2]], 2639/1274019840],
[[[1, 2], [2, 11], [3, 1], [4, 2], [8, 1]], 43/3397386240],
[[[1, 2], [2, 11], [3, 1], [4, 2], [10, 1]], 169/353894400],
[[[1, 2], [2, 11], [3, 1], [4, 3], [6, 1]], 407/1274019840],
[[[1, 2], [2, 11], [3, 1], [6, 2], [8, 1]], 1/4423680],
[[[1, 2], [2, 11], [3, 1], [6, 2], [10, 1]], 19/2073600],
[[[1, 2], [2, 11], [3, 2], [4, 1], [6, 2]], 1/6635520],
[[[1, 2], [2, 11], [3, 2], [4, 1], [8, 1]], 1/5096079360],
[[[1, 2], [2, 11], [3, 2], [4, 2], [6, 1]], 91/3822059520],
[[[1, 2], [2, 11], [3, 2], [6, 1], [10, 1]], 1/16588800],
[[[1, 2], [2, 11], [4, 1], [5, 1], [8, 1]], 1/1415577600],
[[[1, 2], [2, 11], [4, 1], [6, 2], [8, 1]], 661/188743680],
[[[1, 2], [2, 11], [4, 1], [6, 2], [10, 1]], 29/884736],
[[[1, 2], [2, 11], [4, 1], [8, 1], [10, 1]], 509/471859200],
[[[1, 2], [2, 11], [4, 2], [5, 1], [6, 1]], 19/1061683200],
[[[1, 2], [2, 11], [4, 2], [6, 1], [8, 1]], 1783/1132462080],
[[[1, 2], [2, 11], [4, 2], [6, 1], [10, 1]], 23/1638400],
[[[1, 2], [2, 11], [5, 1], [6, 1], [10, 1]], 1/4608000],
[[[1, 2], [2, 11], [6, 1], [8, 1], [10, 1]], 7/2457600],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 2]], 385/1528823808],
[[[1, 2], [2, 13], [3, 1], [4, 1], [8, 1]], 91/203843174400],
[[[1, 2], [2, 13], [3, 1], [4, 1], [10, 1]], 43/2123366400],
[[[1, 2], [2, 13], [3, 1], [4, 2], [6, 1]], 9451/203843174400],
[[[1, 2], [2, 13], [3, 1], [6, 1], [8, 1]], 1/849346560],
[[[1, 2], [2, 13], [3, 1], [6, 1], [10, 1]], 41/318504960],
[[[1, 2], [2, 13], [3, 2], [4, 1], [6, 1]], 1/1274019840],
[[[1, 2], [2, 13], [4, 1], [6, 1], [8, 1]], 233/2264924160],
[[[1, 2], [2, 13], [4, 1], [6, 1], [10, 1]], 4447/2123366400],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 1]], 77/30576476160],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 3]], 11/98304],
[[[1, 3], [2, 2], [3, 1], [4, 4], [8, 2]], 197/1179648],
[[[1, 3], [2, 2], [3, 1], [4, 4], [12, 2]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 4], [16, 1]], 1/73728],
[[[1, 3], [2, 2], [3, 1], [4, 4], [20, 1]], 1/1920],
[[[1, 3], [2, 2], [3, 1], [4, 6], [5, 1]], 1/5529600],
[[[1, 3], [2, 2], [3, 1], [4, 6], [6, 2]], 1/9953280],
[[[1, 3], [2, 2], [3, 1], [4, 6], [8, 1]], 959/70778880],
[[[1, 3], [2, 2], [3, 1], [4, 6], [10, 1]], 1/5529600],
[[[1, 3], [2, 2], [3, 1], [4, 6], [12, 1]], 1/18432],
[[[1, 3], [2, 2], [3, 1], [4, 7], [6, 1]], 1/5308416],
[[[1, 3], [2, 2], [3, 1], [6, 2], [18, 2]], 1/1296],
[[[1, 3], [2, 2], [3, 1], [8, 2], [16, 1]], 1/2048],
[[[1, 3], [2, 2], [3, 2], [4, 1], [9, 2]], 1/576],
[[[1, 3], [2, 2], [3, 2], [4, 3], [8, 2]], 5/147456],
[[[1, 3], [2, 2], [3, 2], [4, 3], [12, 2]], 89/165888],
[[[1, 3], [2, 2], [3, 2], [4, 3], [20, 1]], 1/5760],
[[[1, 3], [2, 2], [3, 2], [4, 5], [8, 1]], 7/2359296],
[[[1, 3], [2, 2], [3, 2], [4, 5], [12, 1]], 1/82944],
[[[1, 3], [2, 2], [3, 2], [4, 6], [6, 1]], 1/9953280],
[[[1, 3], [2, 2], [3, 2], [6, 1], [9, 2]], 1/1296],
[[[1, 3], [2, 2], [3, 3], [4, 4], [8, 1]], 1/442368],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 3]], 1/10240],
[[[1, 3], [2, 2], [4, 1], [8, 2], [16, 1]], 35/32768],
[[[1, 3], [2, 2], [4, 1], [8, 3], [10, 1]], 1/10240],
[[[1, 3], [2, 2], [4, 1], [8, 3], [12, 1]], 1/3072],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 3]], 1/18432],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 2]], 77/245760],
[[[1, 3], [2, 2], [4, 3], [5, 1], [12, 2]], 1/7680],
[[[1, 3], [2, 2], [4, 3], [5, 1], [20, 1]], 3/6400],
[[[1, 3], [2, 2], [4, 3], [8, 1], [12, 2]], 7/8192],
[[[1, 3], [2, 2], [4, 3], [8, 1], [16, 1]], 161/294912],
[[[1, 3], [2, 2], [4, 3], [8, 1], [20, 1]], 23/20480],
[[[1, 3], [2, 2], [4, 3], [8, 2], [10, 1]], 13/49152],
[[[1, 3], [2, 2], [4, 3], [8, 2], [12, 1]], 235/147456],
[[[1, 3], [2, 2], [4, 3], [10, 1], [12, 2]], 1/7680],
[[[1, 3], [2, 2], [4, 3], [10, 1], [20, 1]], 3/6400],
[[[1, 3], [2, 2], [4, 3], [12, 1], [16, 1]], 1/2048],
[[[1, 3], [2, 2], [4, 3], [12, 1], [20, 1]], 7/11520],
[[[1, 3], [2, 2], [4, 4], [6, 1], [8, 2]], 67/1179648],
[[[1, 3], [2, 2], [4, 4], [6, 1], [12, 2]], 11/27648],
[[[1, 3], [2, 2], [4, 4], [6, 1], [16, 1]], 1/73728],
[[[1, 3], [2, 2], [4, 4], [6, 1], [20, 1]], 1/2560],
[[[1, 3], [2, 2], [4, 5], [5, 1], [8, 1]], 5/393216],
[[[1, 3], [2, 2], [4, 5], [5, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 2], [4, 5], [6, 2], [8, 1]], 5/2359296],
[[[1, 3], [2, 2], [4, 5], [8, 1], [10, 1]], 19/1966080],
[[[1, 3], [2, 2], [4, 5], [8, 1], [12, 1]], 11/16384],
[[[1, 3], [2, 2], [4, 5], [10, 1], [12, 1]], 1/30720],
[[[1, 3], [2, 2], [4, 6], [5, 1], [6, 1]], 1/5529600],
[[[1, 3], [2, 2], [4, 6], [6, 1], [8, 1]], 2149/212336640],
[[[1, 3], [2, 2], [4, 6], [6, 1], [10, 1]], 1/5529600],
[[[1, 3], [2, 2], [4, 6], [6, 1], [12, 1]], 5/110592],
[[[1, 3], [2, 2], [6, 1], [8, 2], [16, 1]], 1/2304],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 3]], 1/9216],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 4]], 1/165888],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 2]], 3037/7077888],
[[[1, 3], [2, 4], [3, 1], [4, 3], [12, 2]], 113/331776],
[[[1, 3], [2, 4], [3, 1], [4, 3], [16, 1]], 1/4096],
[[[1, 3], [2, 4], [3, 1], [4, 3], [20, 1]], 13/18432],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 3]], 25/2654208],
[[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1]], 19/2949120],
[[[1, 3], [2, 4], [3, 1], [4, 5], [6, 2]], 155/10616832],
[[[1, 3], [2, 4], [3, 1], [4, 5], [8, 1]], 11219/56623104],
[[[1, 3], [2, 4], [3, 1], [4, 5], [10, 1]], 5/589824],
[[[1, 3], [2, 4], [3, 1], [4, 5], [12, 1]], 365/1327104],
[[[1, 3], [2, 4], [3, 1], [4, 6], [6, 1]], 17693/1274019840],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 3]], 1/36864],
[[[1, 3], [2, 4], [3, 1], [6, 4], [18, 1]], 1/5184],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 4]], 1201/11943936],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 2]], 125/7077888],
[[[1, 3], [2, 4], [3, 2], [4, 2], [10, 2]], 1/230400],
[[[1, 3], [2, 4], [3, 2], [4, 2], [12, 2]], 575/3981312],
[[[1, 3], [2, 4], [3, 2], [4, 2], [20, 1]], 7/34560],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 3]], 31/995328],
[[[1, 3], [2, 4], [3, 2], [4, 4], [6, 2]], 145/5308416],
[[[1, 3], [2, 4], [3, 2], [4, 4], [8, 1]], 143/7077888],
[[[1, 3], [2, 4], [3, 2], [4, 4], [10, 1]], 7/1474560],
[[[1, 3], [2, 4], [3, 2], [4, 4], [12, 1]], 7/497664],
[[[1, 3], [2, 4], [3, 2], [4, 5], [6, 1]], 149/10616832],
[[[1, 3], [2, 4], [3, 2], [5, 1], [15, 1]], 13/11520],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 2]], 1/6144],
[[[1, 3], [2, 4], [3, 2], [6, 3], [9, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 2], [6, 3], [18, 1]], 1/576],
[[[1, 3], [2, 4], [3, 2], [8, 1], [16, 1]], 7/55296],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 3]], 163/995328],
[[[1, 3], [2, 4], [3, 3], [4, 3], [6, 2]], 25/995328],
[[[1, 3], [2, 4], [3, 3], [4, 3], [10, 1]], 1/276480],
[[[1, 3], [2, 4], [3, 3], [4, 4], [6, 1]], 5/884736],
[[[1, 3], [2, 4], [3, 3], [6, 2], [9, 1]], 1/864],
[[[1, 3], [2, 4], [3, 3], [6, 3], [8, 1]], 1/10368],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 3]], 5/32768],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 4]], 1/829440],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 2]], 91/131072],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 2]], 1/64000],
[[[1, 3], [2, 4], [4, 2], [5, 1], [12, 2]], 7/69120],
[[[1, 3], [2, 4], [4, 2], [5, 1], [16, 1]], 3/10240],
[[[1, 3], [2, 4], [4, 2], [5, 1], [20, 1]], 7/19200],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 2]], 107/1179648],
[[[1, 3], [2, 4], [4, 2], [6, 2], [12, 2]], 61/221184],
[[[1, 3], [2, 4], [4, 2], [6, 2], [16, 1]], 1/9216],
[[[1, 3], [2, 4], [4, 2], [6, 2], [20, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [8, 1], [12, 2]], 259/663552],
[[[1, 3], [2, 4], [4, 2], [8, 1], [16, 1]], 313/262144],
[[[1, 3], [2, 4], [4, 2], [8, 1], [20, 1]], 91/184320],
[[[1, 3], [2, 4], [4, 2], [8, 2], [10, 1]], 769/983040],
[[[1, 3], [2, 4], [4, 2], [8, 2], [12, 1]], 83/73728],
[[[1, 3], [2, 4], [4, 2], [10, 1], [12, 2]], 7/69120],
[[[1, 3], [2, 4], [4, 2], [10, 1], [16, 1]], 3/10240],
[[[1, 3], [2, 4], [4, 2], [10, 1], [20, 1]], 7/19200],
[[[1, 3], [2, 4], [4, 2], [12, 1], [16, 1]], 7/18432],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 3]], 1/276480],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 2]], 613/786432],
[[[1, 3], [2, 4], [4, 3], [6, 1], [12, 2]], 43/110592],
[[[1, 3], [2, 4], [4, 3], [6, 1], [16, 1]], 1/3072],
[[[1, 3], [2, 4], [4, 3], [6, 1], [20, 1]], 9/10240],
[[[1, 3], [2, 4], [4, 3], [6, 3], [8, 1]], 5/221184],
[[[1, 3], [2, 4], [4, 4], [5, 1], [6, 2]], 1/491520],
[[[1, 3], [2, 4], [4, 4], [5, 1], [8, 1]], 95/393216],
[[[1, 3], [2, 4], [4, 4], [5, 1], [10, 1]], 13/409600],
[[[1, 3], [2, 4], [4, 4], [5, 1], [12, 1]], 61/276480],
[[[1, 3], [2, 4], [4, 4], [6, 2], [8, 1]], 239/2359296],
[[[1, 3], [2, 4], [4, 4], [6, 2], [10, 1]], 1/294912],
[[[1, 3], [2, 4], [4, 4], [6, 2], [12, 1]], 5/55296],
[[[1, 3], [2, 4], [4, 4], [8, 1], [10, 1]], 553/1966080],
[[[1, 3], [2, 4], [4, 4], [8, 1], [12, 1]], 4921/2654208],
[[[1, 3], [2, 4], [4, 4], [10, 1], [12, 1]], 61/276480],
[[[1, 3], [2, 4], [4, 5], [5, 1], [6, 1]], 19/2949120],
[[[1, 3], [2, 4], [4, 5], [6, 1], [8, 1]], 2557/9437184],
[[[1, 3], [2, 4], [4, 5], [6, 1], [10, 1]], 5/589824],
[[[1, 3], [2, 4], [4, 5], [6, 1], [12, 1]], 151/442368],
[[[1, 3], [2, 4], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 3], [2, 4], [5, 1], [8, 1], [16, 1]], 7/30720],
[[[1, 3], [2, 4], [5, 1], [8, 2], [10, 1]], 3/5120],
[[[1, 3], [2, 4], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 3], [2, 4], [6, 2], [8, 1], [16, 1]], 1/6144],
[[[1, 3], [2, 4], [6, 2], [10, 1], [30, 1]], 1/384],
[[[1, 3], [2, 4], [8, 1], [10, 1], [16, 1]], 7/30720],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 5]], 331/2985984],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 4]], 149/1990656],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 2]], 3571/17694720],
[[[1, 3], [2, 6], [3, 1], [4, 2], [10, 2]], 3/51200],
[[[1, 3], [2, 6], [3, 1], [4, 2], [12, 2]], 193/9953280],
[[[1, 3], [2, 6], [3, 1], [4, 2], [16, 1]], 31/294912],
[[[1, 3], [2, 6], [3, 1], [4, 2], [20, 1]], 193/2764800],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 3]], 13/110592],
[[[1, 3], [2, 6], [3, 1], [4, 4], [6, 2]], 409/4718592],
[[[1, 3], [2, 6], [3, 1], [4, 4], [8, 1]], 6215/56623104],
[[[1, 3], [2, 6], [3, 1], [4, 4], [10, 1]], 461/11796480],
[[[1, 3], [2, 6], [3, 1], [4, 4], [12, 1]], 2983/39813120],
[[[1, 3], [2, 6], [3, 1], [4, 5], [6, 1]], 785/10616832],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 4]], 1/25920],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 2]], 1/36864],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 2]], 1/86400],
[[[1, 3], [2, 6], [3, 1], [6, 3], [18, 1]], 5/4608],
[[[1, 3], [2, 6], [3, 1], [6, 4], [8, 1]], 13/497664],
[[[1, 3], [2, 6], [3, 1], [6, 4], [10, 1]], 1/311040],
[[[1, 3], [2, 6], [3, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 6], [3, 1], [8, 1], [16, 1]], 193/4423680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 4]], 1433/1990656],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 2]], 17/3538944],
[[[1, 3], [2, 6], [3, 2], [4, 1], [10, 2]], 1/23040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [16, 1]], 1/55296],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 3]], 259/1492992],
[[[1, 3], [2, 6], [3, 2], [4, 3], [6, 2]], 107/663552],
[[[1, 3], [2, 6], [3, 2], [4, 3], [8, 1]], 1379/106168320],
[[[1, 3], [2, 6], [3, 2], [4, 3], [10, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 2], [4, 3], [12, 1]], 1/82944],
[[[1, 3], [2, 6], [3, 2], [4, 4], [6, 1]], 983/42467328],
[[[1, 3], [2, 6], [3, 2], [6, 1], [10, 2]], 7/86400],
[[[1, 3], [2, 6], [3, 2], [6, 2], [9, 1]], 13/55296],
[[[1, 3], [2, 6], [3, 2], [6, 2], [18, 1]], 13/55296],
[[[1, 3], [2, 6], [3, 2], [6, 3], [8, 1]], 37/248832],
[[[1, 3], [2, 6], [3, 2], [6, 3], [10, 1]], 5/31104],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 3]], 23/186624],
[[[1, 3], [2, 6], [3, 3], [4, 2], [6, 2]], 1/62208],
[[[1, 3], [2, 6], [3, 3], [4, 2], [8, 1]], 1/5308416],
[[[1, 3], [2, 6], [3, 3], [4, 3], [6, 1]], 1/497664],
[[[1, 3], [2, 6], [3, 3], [6, 1], [9, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 3], [6, 2], [8, 1]], 1/20736],
[[[1, 3], [2, 6], [3, 3], [6, 2], [10, 1]], 1/25920],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 4]], 7/414720],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 2]], 7/327680],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 2]], 1/4000],
[[[1, 3], [2, 6], [4, 1], [5, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 1], [5, 2], [10, 1]], 1/6400],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 2]], 43/589824],
[[[1, 3], [2, 6], [4, 1], [6, 2], [16, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 1], [6, 4], [8, 1]], 41/2654208],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 2]], 17/204800],
[[[1, 3], [2, 6], [4, 1], [8, 1], [16, 1]], 13/61440],
[[[1, 3], [2, 6], [4, 1], [8, 2], [10, 1]], 43/491520],
[[[1, 3], [2, 6], [4, 1], [8, 2], [12, 1]], 121/1474560],
[[[1, 3], [2, 6], [4, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 3]], 1/103680],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 2]], 6211/11796480],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 2]], 7/153600],
[[[1, 3], [2, 6], [4, 2], [6, 1], [12, 2]], 37/1105920],
[[[1, 3], [2, 6], [4, 2], [6, 1], [16, 1]], 71/294912],
[[[1, 3], [2, 6], [4, 2], [6, 1], [20, 1]], 37/307200],
[[[1, 3], [2, 6], [4, 2], [6, 3], [8, 1]], 221/2654208],
[[[1, 3], [2, 6], [4, 2], [6, 3], [10, 1]], 1/30720],
[[[1, 3], [2, 6], [4, 3], [5, 1], [6, 2]], 1/92160],
[[[1, 3], [2, 6], [4, 3], [5, 1], [8, 1]], 103/614400],
[[[1, 3], [2, 6], [4, 3], [5, 1], [10, 1]], 139/921600],
[[[1, 3], [2, 6], [4, 3], [5, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 3], [6, 2], [8, 1]], 2341/7077888],
[[[1, 3], [2, 6], [4, 3], [6, 2], [10, 1]], 31/552960],
[[[1, 3], [2, 6], [4, 3], [6, 2], [12, 1]], 1/13824],
[[[1, 3], [2, 6], [4, 3], [8, 1], [10, 1]], 229/589824],
[[[1, 3], [2, 6], [4, 3], [8, 1], [12, 1]], 2539/5898240],
[[[1, 3], [2, 6], [4, 3], [10, 1], [12, 1]], 1/18432],
[[[1, 3], [2, 6], [4, 4], [5, 1], [6, 1]], 11/3932160],
[[[1, 3], [2, 6], [4, 4], [6, 1], [8, 1]], 4327/9437184],
[[[1, 3], [2, 6], [4, 4], [6, 1], [10, 1]], 251/5898240],
[[[1, 3], [2, 6], [4, 4], [6, 1], [12, 1]], 103/491520],
[[[1, 3], [2, 6], [5, 1], [6, 1], [10, 2]], 1/24000],
[[[1, 3], [2, 6], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 3], [2, 6], [5, 1], [6, 3], [10, 1]], 1/43200],
[[[1, 3], [2, 6], [6, 1], [8, 1], [16, 1]], 37/491520],
[[[1, 3], [2, 6], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 4]], 1669/11943936],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 2]], 173/70778880],
[[[1, 3], [2, 8], [3, 1], [4, 1], [10, 2]], 47/921600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [16, 1]], 13/4423680],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 3]], 1033/7962624],
[[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1]], 1/11059200],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 2]], 131/1105920],
[[[1, 3], [2, 8], [3, 1], [4, 3], [8, 1]], 38987/1698693120],
[[[1, 3], [2, 8], [3, 1], [4, 3], [10, 1]], 25/589824],
[[[1, 3], [2, 8], [3, 1], [4, 3], [12, 1]], 71/13271040],
[[[1, 3], [2, 8], [3, 1], [4, 4], [6, 1]], 2437/70778880],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 3]], 1/92160],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 2]], 1/1179648],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 2]], 77/691200],
[[[1, 3], [2, 8], [3, 1], [6, 3], [8, 1]], 223/3981312],
[[[1, 3], [2, 8], [3, 1], [6, 3], [10, 1]], 37/248832],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 3]], 53/442368],
[[[1, 3], [2, 8], [3, 2], [4, 2], [6, 2]], 4297/79626240],
[[[1, 3], [2, 8], [3, 2], [4, 2], [8, 1]], 1/1966080],
[[[1, 3], [2, 8], [3, 2], [4, 2], [10, 1]], 259/66355200],
[[[1, 3], [2, 8], [3, 2], [4, 3], [6, 1]], 313/26542080],
[[[1, 3], [2, 8], [3, 2], [6, 2], [8, 1]], 37/4423680],
[[[1, 3], [2, 8], [3, 2], [6, 2], [10, 1]], 11/110592],
[[[1, 3], [2, 8], [3, 2], [8, 1], [10, 1]], 1/2211840],
[[[1, 3], [2, 8], [3, 3], [4, 1], [6, 2]], 1/147456],
[[[1, 3], [2, 8], [3, 3], [4, 1], [10, 1]], 1/3317760],
[[[1, 3], [2, 8], [3, 3], [4, 2], [6, 1]], 19/39813120],
[[[1, 3], [2, 8], [3, 3], [6, 1], [10, 1]], 1/829440],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 3]], 49/3317760],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 2]], 619/23592960],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 2]], 119/921600],
[[[1, 3], [2, 8], [4, 1], [6, 1], [16, 1]], 11/1474560],
[[[1, 3], [2, 8], [4, 1], [6, 3], [8, 1]], 121/1769472],
[[[1, 3], [2, 8], [4, 1], [6, 3], [10, 1]], 31/331776],
[[[1, 3], [2, 8], [4, 2], [5, 1], [6, 2]], 133/22118400],
[[[1, 3], [2, 8], [4, 2], [5, 1], [8, 1]], 23/29491200],
[[[1, 3], [2, 8], [4, 2], [5, 1], [10, 1]], 1253/36864000],
[[[1, 3], [2, 8], [4, 2], [6, 2], [8, 1]], 1/9216],
[[[1, 3], [2, 8], [4, 2], [6, 2], [10, 1]], 797/4423680],
[[[1, 3], [2, 8], [4, 2], [8, 1], [10, 1]], 599/5898240],
[[[1, 3], [2, 8], [4, 2], [8, 1], [12, 1]], 23/1769472],
[[[1, 3], [2, 8], [4, 3], [5, 1], [6, 1]], 7/1638400],
[[[1, 3], [2, 8], [4, 3], [6, 1], [8, 1]], 73/442368],
[[[1, 3], [2, 8], [4, 3], [6, 1], [10, 1]], 241/2211840],
[[[1, 3], [2, 8], [4, 3], [6, 1], [12, 1]], 77/4423680],
[[[1, 3], [2, 8], [5, 1], [6, 2], [8, 1]], 1/245760],
[[[1, 3], [2, 8], [5, 1], [6, 2], [10, 1]], 23/460800],
[[[1, 3], [2, 8], [5, 1], [8, 1], [10, 1]], 1/51200],
[[[1, 3], [2, 8], [6, 2], [8, 1], [10, 1]], 17/368640],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 3]], 7903/119439360],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 2]], 16483/424673280],
[[[1, 3], [2, 10], [3, 1], [4, 2], [8, 1]], 2113/3397386240],
[[[1, 3], [2, 10], [3, 1], [4, 2], [10, 1]], 2873/353894400],
[[[1, 3], [2, 10], [3, 1], [4, 3], [6, 1]], 4577/424673280],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 2]], 1/2764800],
[[[1, 3], [2, 10], [3, 1], [6, 2], [8, 1]], 19/3317760],
[[[1, 3], [2, 10], [3, 1], [6, 2], [10, 1]], 523/8294400],
[[[1, 3], [2, 10], [3, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 2]], 169/26542080],
[[[1, 3], [2, 10], [3, 2], [4, 1], [8, 1]], 43/5096079360],
[[[1, 3], [2, 10], [3, 2], [4, 1], [10, 1]], 7/13271040],
[[[1, 3], [2, 10], [3, 2], [4, 2], [6, 1]], 1001/764411904],
[[[1, 3], [2, 10], [3, 2], [6, 1], [8, 1]], 1/26542080],
[[[1, 3], [2, 10], [3, 2], [6, 1], [10, 1]], 37/16588800],
[[[1, 3], [2, 10], [3, 3], [4, 1], [6, 1]], 1/39813120],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 2]], 13/4423680],
[[[1, 3], [2, 10], [4, 1], [5, 1], [8, 1]], 43/1415577600],
[[[1, 3], [2, 10], [4, 1], [5, 1], [10, 1]], 13/6144000],
[[[1, 3], [2, 10], [4, 1], [6, 2], [8, 1]], 15901/566231040],
[[[1, 3], [2, 10], [4, 1], [6, 2], [10, 1]], 173/1474560],
[[[1, 3], [2, 10], [4, 1], [8, 1], [10, 1]], 6359/471859200],
[[[1, 3], [2, 10], [4, 1], [8, 1], [12, 1]], 1/17694720],
[[[1, 3], [2, 10], [4, 2], [5, 1], [6, 1]], 451/1061683200],
[[[1, 3], [2, 10], [4, 2], [6, 1], [8, 1]], 22157/1132462080],
[[[1, 3], [2, 10], [4, 2], [6, 1], [10, 1]], 4343/44236800],
[[[1, 3], [2, 10], [5, 1], [6, 1], [8, 1]], 1/7372800],
[[[1, 3], [2, 10], [5, 1], [6, 1], [10, 1]], 7/1536000],
[[[1, 3], [2, 10], [6, 1], [8, 1], [10, 1]], 13/737280],
[[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1]], 1/2123366400],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 2]], 8089/1528823808],
[[[1, 3], [2, 12], [3, 1], [4, 1], [8, 1]], 3991/203843174400],
[[[1, 3], [2, 12], [3, 1], [4, 1], [10, 1]], 1099/2123366400],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 1]], 29029/20384317440],
[[[1, 3], [2, 12], [3, 1], [5, 1], [6, 1]], 1/530841600],
[[[1, 3], [2, 12], [3, 1], [6, 1], [8, 1]], 41/509607936],
[[[1, 3], [2, 12], [3, 1], [6, 1], [10, 1]], 3649/1592524800],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 1]], 197/2548039680],
[[[1, 3], [2, 12], [4, 1], [5, 1], [6, 1]], 181/2123366400],
[[[1, 3], [2, 12], [4, 1], [6, 1], [8, 1]], 2375/1358954496],
[[[1, 3], [2, 12], [4, 1], [6, 1], [10, 1]], 12221/707788800],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 1]], 1297/15288238080],
[[[1, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 1/13824],
[[[1, 3], [3, 1], [4, 3], [8, 1], [20, 1]], 1/3840],
[[[1, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 1/55296],
[[[1, 3], [3, 2], [4, 2], [5, 1], [15, 1]], 1/960],
[[[1, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 3]], 7/98304],
[[[1, 4], [2, 1], [3, 1], [4, 4], [8, 2]], 23/196608],
[[[1, 4], [2, 1], [3, 1], [4, 4], [12, 2]], 1/18432],
[[[1, 4], [2, 1], [3, 1], [4, 4], [20, 1]], 1/5120],
[[[1, 4], [2, 1], [3, 1], [4, 6], [8, 1]], 293/70778880],
[[[1, 4], [2, 1], [3, 1], [4, 6], [12, 1]], 1/73728],
[[[1, 4], [2, 1], [3, 1], [4, 7], [6, 1]], 1/8847360],
[[[1, 4], [2, 1], [3, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 4], [2, 1], [3, 2], [4, 1], [9, 2]], 1/576],
[[[1, 4], [2, 1], [3, 2], [4, 3], [8, 2]], 5/147456],
[[[1, 4], [2, 1], [3, 2], [4, 3], [12, 2]], 89/165888],
[[[1, 4], [2, 1], [3, 2], [4, 3], [20, 1]], 1/5760],
[[[1, 4], [2, 1], [3, 2], [4, 5], [8, 1]], 1/786432],
[[[1, 4], [2, 1], [3, 2], [4, 5], [12, 1]], 1/82944],
[[[1, 4], [2, 1], [3, 3], [4, 2], [8, 2]], 1/221184],
[[[1, 4], [2, 1], [3, 3], [4, 2], [12, 2]], 1/4608],
[[[1, 4], [2, 1], [3, 3], [4, 4], [8, 1]], 1/442368],
[[[1, 4], [2, 1], [3, 3], [5, 1], [15, 1]], 1/360],
[[[1, 4], [2, 1], [3, 4], [4, 2], [9, 1]], 1/13824],
[[[1, 4], [2, 1], [3, 4], [4, 3], [8, 1]], 1/1327104],
[[[1, 4], [2, 1], [4, 1], [8, 2], [16, 1]], 67/196608],
[[[1, 4], [2, 1], [4, 1], [8, 3], [12, 1]], 1/12288],
[[[1, 4], [2, 1], [4, 2], [6, 1], [8, 3]], 1/73728],
[[[1, 4], [2, 1], [4, 3], [5, 1], [8, 2]], 1/16384],
[[[1, 4], [2, 1], [4, 3], [5, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 1], [4, 3], [5, 1], [20, 1]], 1/6400],
[[[1, 4], [2, 1], [4, 3], [5, 2], [8, 1]], 1/102400],
[[[1, 4], [2, 1], [4, 3], [8, 1], [12, 2]], 91/442368],
[[[1, 4], [2, 1], [4, 3], [8, 1], [16, 1]], 23/294912],
[[[1, 4], [2, 1], [4, 3], [8, 1], [20, 1]], 43/122880],
[[[1, 4], [2, 1], [4, 3], [8, 2], [10, 1]], 1/81920],
[[[1, 4], [2, 1], [4, 3], [8, 2], [12, 1]], 19/147456],
[[[1, 4], [2, 1], [4, 3], [10, 1], [12, 2]], 1/23040],
[[[1, 4], [2, 1], [4, 3], [10, 1], [20, 1]], 1/6400],
[[[1, 4], [2, 1], [4, 3], [12, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 1], [4, 3], [12, 1], [20, 1]], 1/11520],
[[[1, 4], [2, 1], [4, 5], [5, 1], [8, 1]], 3/655360],
[[[1, 4], [2, 1], [4, 5], [5, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 1], [4, 5], [8, 1], [12, 1]], 217/1769472],
[[[1, 4], [2, 1], [4, 5], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 1], [4, 6], [6, 1], [8, 1]], 151/212336640],
[[[1, 4], [2, 1], [6, 1], [8, 2], [16, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 3]], 5/32768],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 2]], 613/786432],
[[[1, 4], [2, 3], [3, 1], [4, 3], [12, 2]], 43/110592],
[[[1, 4], [2, 3], [3, 1], [4, 3], [16, 1]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 3], [20, 1]], 9/10240],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 3]], 5/884736],
[[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1]], 5/589824],
[[[1, 4], [2, 3], [3, 1], [4, 5], [6, 2]], 149/10616832],
[[[1, 4], [2, 3], [3, 1], [4, 5], [8, 1]], 2557/9437184],
[[[1, 4], [2, 3], [3, 1], [4, 5], [10, 1]], 19/2949120],
[[[1, 4], [2, 3], [3, 1], [4, 5], [12, 1]], 151/442368],
[[[1, 4], [2, 3], [3, 1], [4, 6], [6, 1]], 17693/1274019840],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 3]], 1/36864],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 2]], 107/1179648],
[[[1, 4], [2, 3], [3, 2], [4, 2], [12, 2]], 61/221184],
[[[1, 4], [2, 3], [3, 2], [4, 2], [16, 1]], 1/9216],
[[[1, 4], [2, 3], [3, 2], [4, 2], [20, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 3]], 25/995328],
[[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1]], 1/294912],
[[[1, 4], [2, 3], [3, 2], [4, 4], [6, 2]], 145/5308416],
[[[1, 4], [2, 3], [3, 2], [4, 4], [8, 1]], 239/2359296],
[[[1, 4], [2, 3], [3, 2], [4, 4], [10, 1]], 1/491520],
[[[1, 4], [2, 3], [3, 2], [4, 4], [12, 1]], 5/55296],
[[[1, 4], [2, 3], [3, 2], [4, 5], [6, 1]], 155/10616832],
[[[1, 4], [2, 3], [3, 2], [5, 1], [15, 1]], 1/384],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 2]], 1/6144],
[[[1, 4], [2, 3], [3, 2], [6, 3], [18, 1]], 1/864],
[[[1, 4], [2, 3], [3, 2], [8, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 3]], 163/995328],
[[[1, 4], [2, 3], [3, 3], [4, 3], [6, 2]], 31/995328],
[[[1, 4], [2, 3], [3, 3], [4, 3], [8, 1]], 5/221184],
[[[1, 4], [2, 3], [3, 3], [4, 3], [10, 1]], 1/276480],
[[[1, 4], [2, 3], [3, 3], [4, 4], [6, 1]], 25/2654208],
[[[1, 4], [2, 3], [3, 3], [6, 2], [9, 1]], 1/576],
[[[1, 4], [2, 3], [3, 3], [6, 2], [18, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 3], [6, 3], [8, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 2]], 1201/11943936],
[[[1, 4], [2, 3], [3, 4], [4, 2], [10, 1]], 1/829440],
[[[1, 4], [2, 3], [3, 4], [4, 3], [6, 1]], 1/165888],
[[[1, 4], [2, 3], [3, 4], [6, 1], [9, 1]], 1/5184],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 3]], 1/9216],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 2]], 769/983040],
[[[1, 4], [2, 3], [4, 2], [5, 1], [12, 2]], 7/69120],
[[[1, 4], [2, 3], [4, 2], [5, 1], [16, 1]], 3/10240],
[[[1, 4], [2, 3], [4, 2], [5, 1], [20, 1]], 7/19200],
[[[1, 4], [2, 3], [4, 2], [5, 2], [6, 2]], 1/230400],
[[[1, 4], [2, 3], [4, 2], [5, 2], [10, 1]], 1/64000],
[[[1, 4], [2, 3], [4, 2], [6, 2], [8, 2]], 125/7077888],
[[[1, 4], [2, 3], [4, 2], [6, 2], [12, 2]], 575/3981312],
[[[1, 4], [2, 3], [4, 2], [6, 2], [20, 1]], 7/34560],
[[[1, 4], [2, 3], [4, 2], [8, 1], [12, 2]], 259/663552],
[[[1, 4], [2, 3], [4, 2], [8, 1], [16, 1]], 313/262144],
[[[1, 4], [2, 3], [4, 2], [8, 1], [20, 1]], 91/184320],
[[[1, 4], [2, 3], [4, 2], [8, 2], [10, 1]], 91/131072],
[[[1, 4], [2, 3], [4, 2], [8, 2], [12, 1]], 83/73728],
[[[1, 4], [2, 3], [4, 2], [10, 1], [12, 2]], 7/69120],
[[[1, 4], [2, 3], [4, 2], [10, 1], [16, 1]], 3/10240],
[[[1, 4], [2, 3], [4, 2], [10, 1], [20, 1]], 7/19200],
[[[1, 4], [2, 3], [4, 2], [12, 1], [16, 1]], 7/18432],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 3]], 1/276480],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 2]], 3037/7077888],
[[[1, 4], [2, 3], [4, 3], [6, 1], [12, 2]], 113/331776],
[[[1, 4], [2, 3], [4, 3], [6, 1], [16, 1]], 1/4096],
[[[1, 4], [2, 3], [4, 3], [6, 1], [20, 1]], 13/18432],
[[[1, 4], [2, 3], [4, 4], [5, 1], [6, 2]], 7/1474560],
[[[1, 4], [2, 3], [4, 4], [5, 1], [8, 1]], 553/1966080],
[[[1, 4], [2, 3], [4, 4], [5, 1], [10, 1]], 13/409600],
[[[1, 4], [2, 3], [4, 4], [5, 1], [12, 1]], 61/276480],
[[[1, 4], [2, 3], [4, 4], [6, 2], [8, 1]], 143/7077888],
[[[1, 4], [2, 3], [4, 4], [6, 2], [12, 1]], 7/497664],
[[[1, 4], [2, 3], [4, 4], [8, 1], [10, 1]], 95/393216],
[[[1, 4], [2, 3], [4, 4], [8, 1], [12, 1]], 4921/2654208],
[[[1, 4], [2, 3], [4, 4], [10, 1], [12, 1]], 61/276480],
[[[1, 4], [2, 3], [4, 5], [5, 1], [6, 1]], 5/589824],
[[[1, 4], [2, 3], [4, 5], [6, 1], [8, 1]], 11219/56623104],
[[[1, 4], [2, 3], [4, 5], [6, 1], [10, 1]], 19/2949120],
[[[1, 4], [2, 3], [4, 5], [6, 1], [12, 1]], 365/1327104],
[[[1, 4], [2, 3], [5, 1], [8, 1], [10, 2]], 1/1600],
[[[1, 4], [2, 3], [5, 1], [8, 1], [16, 1]], 7/30720],
[[[1, 4], [2, 3], [5, 1], [8, 2], [10, 1]], 3/5120],
[[[1, 4], [2, 3], [5, 2], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 3], [6, 2], [8, 1], [16, 1]], 7/55296],
[[[1, 4], [2, 3], [6, 2], [10, 1], [30, 1]], 13/11520],
[[[1, 4], [2, 3], [8, 1], [10, 1], [16, 1]], 7/30720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 5]], 1/746496],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 4]], 43/746496],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 2]], 12439/14155776],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 2]], 1/57600],
[[[1, 4], [2, 5], [3, 1], [4, 2], [12, 2]], 77/995328],
[[[1, 4], [2, 5], [3, 1], [4, 2], [16, 1]], 65/147456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [20, 1]], 77/276480],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 3]], 49/331776],
[[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1]], 553/11796480],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 2]], 4981/21233664],
[[[1, 4], [2, 5], [3, 1], [4, 4], [8, 1]], 15313/18874368],
[[[1, 4], [2, 5], [3, 1], [4, 4], [10, 1]], 51/655360],
[[[1, 4], [2, 5], [3, 1], [4, 4], [12, 1]], 1931/3981312],
[[[1, 4], [2, 5], [3, 1], [4, 5], [6, 1]], 15463/84934656],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 4]], 13/311040],
[[[1, 4], [2, 5], [3, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 4], [2, 5], [3, 1], [5, 1], [10, 2]], 11/24000],
[[[1, 4], [2, 5], [3, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 2]], 11/221184],
[[[1, 4], [2, 5], [3, 1], [6, 3], [18, 1]], 5/4608],
[[[1, 4], [2, 5], [3, 1], [6, 4], [8, 1]], 1/497664],
[[[1, 4], [2, 5], [3, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 5], [3, 1], [8, 1], [16, 1]], 77/442368],
[[[1, 4], [2, 5], [3, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 4]], 1433/1990656],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 2]], 125/3538944],
[[[1, 4], [2, 5], [3, 2], [4, 1], [10, 2]], 1/23040],
[[[1, 4], [2, 5], [3, 2], [4, 1], [16, 1]], 7/55296],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 3]], 149/331776],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 2]], 71/165888],
[[[1, 4], [2, 5], [3, 2], [4, 3], [8, 1]], 2759/21233664],
[[[1, 4], [2, 5], [3, 2], [4, 3], [10, 1]], 31/552960],
[[[1, 4], [2, 5], [3, 2], [4, 3], [12, 1]], 7/82944],
[[[1, 4], [2, 5], [3, 2], [4, 4], [6, 1]], 227/1179648],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 3]], 37/155520],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 2]], 5/221184],
[[[1, 4], [2, 5], [3, 2], [6, 1], [10, 2]], 1/14400],
[[[1, 4], [2, 5], [3, 2], [6, 2], [9, 1]], 5/9216],
[[[1, 4], [2, 5], [3, 2], [6, 2], [18, 1]], 5/9216],
[[[1, 4], [2, 5], [3, 2], [6, 3], [8, 1]], 79/248832],
[[[1, 4], [2, 5], [3, 2], [6, 3], [10, 1]], 1/6480],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 3]], 1771/1492992],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 2]], 323/995328],
[[[1, 4], [2, 5], [3, 3], [4, 2], [8, 1]], 13/5308416],
[[[1, 4], [2, 5], [3, 3], [4, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 5], [3, 3], [4, 3], [6, 1]], 53/995328],
[[[1, 4], [2, 5], [3, 3], [5, 1], [6, 2]], 1/8640],
[[[1, 4], [2, 5], [3, 3], [6, 1], [9, 1]], 13/27648],
[[[1, 4], [2, 5], [3, 3], [6, 2], [8, 1]], 1/4608],
[[[1, 4], [2, 5], [3, 3], [6, 2], [10, 1]], 43/155520],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 2]], 1/62208],
[[[1, 4], [2, 5], [3, 4], [4, 1], [8, 1]], 1/15925248],
[[[1, 4], [2, 5], [3, 4], [4, 2], [6, 1]], 7/2985984],
[[[1, 4], [2, 5], [3, 4], [6, 1], [10, 1]], 1/311040],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 4]], 7/414720],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 2]], 329/983040],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 2]], 9/16000],
[[[1, 4], [2, 5], [4, 1], [5, 1], [16, 1]], 7/30720],
[[[1, 4], [2, 5], [4, 1], [5, 2], [8, 1]], 1/1228800],
[[[1, 4], [2, 5], [4, 1], [5, 2], [10, 1]], 3/6400],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 2]], 17/196608],
[[[1, 4], [2, 5], [4, 1], [6, 2], [16, 1]], 1/6144],
[[[1, 4], [2, 5], [4, 1], [6, 4], [8, 1]], 13/15925248],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 2]], 13/1228800],
[[[1, 4], [2, 5], [4, 1], [8, 1], [16, 1]], 151/245760],
[[[1, 4], [2, 5], [4, 1], [8, 2], [10, 1]], 191/491520],
[[[1, 4], [2, 5], [4, 1], [8, 2], [12, 1]], 7/27648],
[[[1, 4], [2, 5], [4, 1], [10, 1], [16, 1]], 7/30720],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 3]], 11/276480],
[[[1, 4], [2, 5], [4, 2], [5, 2], [6, 1]], 1/230400],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 2]], 16531/14155776],
[[[1, 4], [2, 5], [4, 2], [6, 1], [12, 2]], 89/995328],
[[[1, 4], [2, 5], [4, 2], [6, 1], [16, 1]], 9/16384],
[[[1, 4], [2, 5], [4, 2], [6, 1], [20, 1]], 89/276480],
[[[1, 4], [2, 5], [4, 2], [6, 3], [8, 1]], 113/2654208],
[[[1, 4], [2, 5], [4, 3], [5, 1], [6, 2]], 7/184320],
[[[1, 4], [2, 5], [4, 3], [5, 1], [8, 1]], 2129/2949120],
[[[1, 4], [2, 5], [4, 3], [5, 1], [10, 1]], 433/921600],
[[[1, 4], [2, 5], [4, 3], [5, 1], [12, 1]], 23/92160],
[[[1, 4], [2, 5], [4, 3], [6, 2], [8, 1]], 2897/7077888],
[[[1, 4], [2, 5], [4, 3], [6, 2], [10, 1]], 1/34560],
[[[1, 4], [2, 5], [4, 3], [6, 2], [12, 1]], 1/6912],
[[[1, 4], [2, 5], [4, 3], [8, 1], [10, 1]], 517/589824],
[[[1, 4], [2, 5], [4, 3], [8, 1], [12, 1]], 6053/3538944],
[[[1, 4], [2, 5], [4, 3], [10, 1], [12, 1]], 23/92160],
[[[1, 4], [2, 5], [4, 4], [5, 1], [6, 1]], 311/5898240],
[[[1, 4], [2, 5], [4, 4], [6, 1], [8, 1]], 30169/28311552],
[[[1, 4], [2, 5], [4, 4], [6, 1], [10, 1]], 877/11796480],
[[[1, 4], [2, 5], [4, 4], [6, 1], [12, 1]], 2339/3981312],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 2]], 1/20480],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 5], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 4], [2, 5], [5, 2], [6, 1], [10, 1]], 11/24000],
[[[1, 4], [2, 5], [6, 1], [8, 1], [16, 1]], 89/442368],
[[[1, 4], [2, 5], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 4]], 2131/11943936],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 2]], 737/7864320],
[[[1, 4], [2, 7], [3, 1], [4, 1], [10, 2]], 119/921600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [16, 1]], 193/4423680],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 3]], 10729/23887872],
[[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1]], 1/691200],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 2]], 2315/5308416],
[[[1, 4], [2, 7], [3, 1], [4, 3], [8, 1]], 4753/17694720],
[[[1, 4], [2, 7], [3, 1], [4, 3], [10, 1]], 457/2949120],
[[[1, 4], [2, 7], [3, 1], [4, 3], [12, 1]], 851/13271040],
[[[1, 4], [2, 7], [3, 1], [4, 4], [6, 1]], 59311/212336640],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 3]], 223/2488320],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 2]], 143/3538944],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 2]], 77/691200],
[[[1, 4], [2, 7], [3, 1], [6, 3], [8, 1]], 185/1990656],
[[[1, 4], [2, 7], [3, 1], [6, 3], [10, 1]], 113/1244160],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 3]], 2131/3981312],
[[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1]], 19/66355200],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 2]], 2827/5308416],
[[[1, 4], [2, 7], [3, 2], [4, 2], [8, 1]], 619/17694720],
[[[1, 4], [2, 7], [3, 2], [4, 2], [10, 1]], 269/4423680],
[[[1, 4], [2, 7], [3, 2], [4, 2], [12, 1]], 1/165888],
[[[1, 4], [2, 7], [3, 2], [4, 3], [6, 1]], 1847/13271040],
[[[1, 4], [2, 7], [3, 2], [5, 1], [6, 2]], 11/552960],
[[[1, 4], [2, 7], [3, 2], [5, 1], [10, 1]], 41/1382400],
[[[1, 4], [2, 7], [3, 2], [6, 2], [8, 1]], 497/4423680],
[[[1, 4], [2, 7], [3, 2], [6, 2], [10, 1]], 251/829440],
[[[1, 4], [2, 7], [3, 2], [8, 1], [10, 1]], 13/2211840],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 2]], 433/3981312],
[[[1, 4], [2, 7], [3, 3], [4, 1], [8, 1]], 23/79626240],
[[[1, 4], [2, 7], [3, 3], [4, 1], [10, 1]], 13/3317760],
[[[1, 4], [2, 7], [3, 3], [4, 2], [6, 1]], 809/39813120],
[[[1, 4], [2, 7], [3, 3], [6, 1], [8, 1]], 1/1327104],
[[[1, 4], [2, 7], [3, 3], [6, 1], [10, 1]], 11/497664],
[[[1, 4], [2, 7], [3, 4], [4, 1], [6, 1]], 1/1990656],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 3]], 253/3317760],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 2]], 551/2621440],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 2]], 47/921600],
[[[1, 4], [2, 7], [4, 1], [6, 1], [16, 1]], 37/491520],
[[[1, 4], [2, 7], [4, 1], [6, 3], [8, 1]], 1211/15925248],
[[[1, 4], [2, 7], [4, 1], [6, 3], [10, 1]], 59/1658880],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 2]], 83/1474560],
[[[1, 4], [2, 7], [4, 2], [5, 1], [8, 1]], 3503/29491200],
[[[1, 4], [2, 7], [4, 2], [5, 1], [10, 1]], 829/2457600],
[[[1, 4], [2, 7], [4, 2], [5, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 7], [4, 2], [6, 2], [8, 1]], 3/8192],
[[[1, 4], [2, 7], [4, 2], [6, 2], [10, 1]], 55/294912],
[[[1, 4], [2, 7], [4, 2], [6, 2], [12, 1]], 1/55296],
[[[1, 4], [2, 7], [4, 2], [8, 1], [10, 1]], 439/1179648],
[[[1, 4], [2, 7], [4, 2], [8, 1], [12, 1]], 239/1769472],
[[[1, 4], [2, 7], [4, 2], [10, 1], [12, 1]], 1/92160],
[[[1, 4], [2, 7], [4, 3], [5, 1], [6, 1]], 463/14745600],
[[[1, 4], [2, 7], [4, 3], [6, 1], [8, 1]], 216587/283115520],
[[[1, 4], [2, 7], [4, 3], [6, 1], [10, 1]], 433/2211840],
[[[1, 4], [2, 7], [4, 3], [6, 1], [12, 1]], 577/4423680],
[[[1, 4], [2, 7], [5, 1], [6, 2], [8, 1]], 23/737280],
[[[1, 4], [2, 7], [5, 1], [6, 2], [10, 1]], 37/230400],
[[[1, 4], [2, 7], [5, 1], [8, 1], [10, 1]], 31/153600],
[[[1, 4], [2, 7], [6, 2], [8, 1], [10, 1]], 1/40960],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 3]], 28453/119439360],
[[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1]], 169/353894400],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 2]], 5227/19906560],
[[[1, 4], [2, 9], [3, 1], [4, 2], [8, 1]], 65647/3397386240],
[[[1, 4], [2, 9], [3, 1], [4, 2], [10, 1]], 7727/132710400],
[[[1, 4], [2, 9], [3, 1], [4, 2], [12, 1]], 13/13271040],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 1]], 90713/849346560],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 2]], 19/2073600],
[[[1, 4], [2, 9], [3, 1], [5, 1], [10, 1]], 73/13824000],
[[[1, 4], [2, 9], [3, 1], [6, 2], [8, 1]], 523/13271040],
[[[1, 4], [2, 9], [3, 1], [6, 2], [10, 1]], 19/122880],
[[[1, 4], [2, 9], [3, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 2]], 449/5308416],
[[[1, 4], [2, 9], [3, 2], [4, 1], [8, 1]], 833/1698693120],
[[[1, 4], [2, 9], [3, 2], [4, 1], [10, 1]], 23/2654208],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 1]], 6937/212336640],
[[[1, 4], [2, 9], [3, 2], [5, 1], [6, 1]], 1/16588800],
[[[1, 4], [2, 9], [3, 2], [6, 1], [8, 1]], 37/26542080],
[[[1, 4], [2, 9], [3, 2], [6, 1], [10, 1]], 109/4147200],
[[[1, 4], [2, 9], [3, 3], [4, 1], [6, 1]], 7/4976640],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 2]], 29/884736],
[[[1, 4], [2, 9], [4, 1], [5, 1], [8, 1]], 509/471859200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [10, 1]], 81/2048000],
[[[1, 4], [2, 9], [4, 1], [6, 2], [8, 1]], 76643/849346560],
[[[1, 4], [2, 9], [4, 1], [6, 2], [10, 1]], 257/1474560],
[[[1, 4], [2, 9], [4, 1], [8, 1], [10, 1]], 40589/707788800],
[[[1, 4], [2, 9], [4, 1], [8, 1], [12, 1]], 1/655360],
[[[1, 4], [2, 9], [4, 2], [5, 1], [6, 1]], 23/1638400],
[[[1, 4], [2, 9], [4, 2], [6, 1], [8, 1]], 151943/1132462080],
[[[1, 4], [2, 9], [4, 2], [6, 1], [10, 1]], 3109/11796480],
[[[1, 4], [2, 9], [4, 2], [6, 1], [12, 1]], 11/4423680],
[[[1, 4], [2, 9], [5, 1], [6, 1], [8, 1]], 7/2457600],
[[[1, 4], [2, 9], [5, 1], [6, 1], [10, 1]], 37/921600],
[[[1, 4], [2, 9], [6, 1], [8, 1], [10, 1]], 29/737280],
[[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1]], 43/2123366400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 2]], 330203/7644119040],
[[[1, 4], [2, 11], [3, 1], [4, 1], [8, 1]], 8833/20384317440],
[[[1, 4], [2, 11], [3, 1], [4, 1], [10, 1]], 13273/2123366400],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 1]], 1168423/61152952320],
[[[1, 4], [2, 11], [3, 1], [5, 1], [6, 1]], 41/318504960],
[[[1, 4], [2, 11], [3, 1], [6, 1], [8, 1]], 3649/2548039680],
[[[1, 4], [2, 11], [3, 1], [6, 1], [10, 1]], 8453/530841600],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 1]], 4883/2548039680],
[[[1, 4], [2, 11], [4, 1], [5, 1], [6, 1]], 4447/2123366400],
[[[1, 4], [2, 11], [4, 1], [6, 1], [8, 1]], 104857/8153726976],
[[[1, 4], [2, 11], [4, 1], [6, 1], [10, 1]], 45143/707788800],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 1]], 409571/305764761600],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 3]], 7/98304],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2]], 1/153600],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 2]], 2147/4718592],
[[[1, 5], [2, 2], [3, 1], [4, 3], [12, 2]], 71/663552],
[[[1, 5], [2, 2], [3, 1], [4, 3], [16, 1]], 1/8192],
[[[1, 5], [2, 2], [3, 1], [4, 3], [20, 1]], 71/184320],
[[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1]], 1/327680],
[[[1, 5], [2, 2], [3, 1], [4, 5], [6, 2]], 1/589824],
[[[1, 5], [2, 2], [3, 1], [4, 5], [8, 1]], 1021/9437184],
[[[1, 5], [2, 2], [3, 1], [4, 5], [12, 1]], 287/2654208],
[[[1, 5], [2, 2], [3, 1], [4, 6], [6, 1]], 3245/509607936],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 2]], 11/131072],
[[[1, 5], [2, 2], [3, 2], [4, 2], [12, 2]], 151/663552],
[[[1, 5], [2, 2], [3, 2], [4, 2], [16, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 2], [4, 2], [20, 1]], 1/11520],
[[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1]], 7/1474560],
[[[1, 5], [2, 2], [3, 2], [4, 4], [6, 2]], 35/5308416],
[[[1, 5], [2, 2], [3, 2], [4, 4], [8, 1]], 625/7077888],
[[[1, 5], [2, 2], [3, 2], [4, 4], [10, 1]], 1/1474560],
[[[1, 5], [2, 2], [3, 2], [4, 4], [12, 1]], 13/165888],
[[[1, 5], [2, 2], [3, 2], [4, 5], [6, 1]], 1/393216],
[[[1, 5], [2, 2], [3, 2], [5, 1], [15, 1]], 1/384],
[[[1, 5], [2, 2], [3, 2], [6, 2], [8, 2]], 1/18432],
[[[1, 5], [2, 2], [3, 2], [8, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 2]], 1/110592],
[[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1]], 1/276480],
[[[1, 5], [2, 2], [3, 3], [4, 3], [6, 2]], 1/165888],
[[[1, 5], [2, 2], [3, 3], [4, 3], [8, 1]], 1/36864],
[[[1, 5], [2, 2], [3, 3], [4, 4], [6, 1]], 13/2654208],
[[[1, 5], [2, 2], [3, 3], [6, 2], [9, 1]], 1/1728],
[[[1, 5], [2, 2], [3, 3], [6, 2], [18, 1]], 1/1728],
[[[1, 5], [2, 2], [3, 4], [4, 1], [9, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 2]], 1201/11943936],
[[[1, 5], [2, 2], [3, 4], [4, 2], [8, 1]], 5/442368],
[[[1, 5], [2, 2], [3, 4], [4, 2], [10, 1]], 1/829440],
[[[1, 5], [2, 2], [3, 4], [4, 3], [6, 1]], 13/1990656],
[[[1, 5], [2, 2], [3, 4], [6, 1], [9, 1]], 7/5184],
[[[1, 5], [2, 2], [3, 5], [4, 2], [6, 1]], 31/1990656],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 3]], 1/36864],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 2]], 121/983040],
[[[1, 5], [2, 2], [4, 2], [5, 1], [12, 2]], 1/69120],
[[[1, 5], [2, 2], [4, 2], [5, 1], [16, 1]], 1/10240],
[[[1, 5], [2, 2], [4, 2], [5, 1], [20, 1]], 1/19200],
[[[1, 5], [2, 2], [4, 2], [5, 2], [6, 2]], 1/230400],
[[[1, 5], [2, 2], [4, 2], [5, 2], [8, 1]], 7/102400],
[[[1, 5], [2, 2], [4, 2], [5, 2], [10, 1]], 1/64000],
[[[1, 5], [2, 2], [4, 2], [6, 2], [8, 2]], 17/7077888],
[[[1, 5], [2, 2], [4, 2], [6, 2], [12, 2]], 59/3981312],
[[[1, 5], [2, 2], [4, 2], [6, 2], [20, 1]], 1/34560],
[[[1, 5], [2, 2], [4, 2], [8, 1], [12, 2]], 191/2211840],
[[[1, 5], [2, 2], [4, 2], [8, 1], [16, 1]], 99/262144],
[[[1, 5], [2, 2], [4, 2], [8, 1], [20, 1]], 37/204800],
[[[1, 5], [2, 2], [4, 2], [8, 2], [10, 1]], 19/655360],
[[[1, 5], [2, 2], [4, 2], [8, 2], [12, 1]], 65/294912],
[[[1, 5], [2, 2], [4, 2], [10, 1], [12, 2]], 1/69120],
[[[1, 5], [2, 2], [4, 2], [10, 1], [16, 1]], 1/10240],
[[[1, 5], [2, 2], [4, 2], [10, 1], [20, 1]], 1/19200],
[[[1, 5], [2, 2], [4, 2], [12, 1], [16, 1]], 1/18432],
[[[1, 5], [2, 2], [4, 3], [5, 2], [6, 1]], 1/153600],
[[[1, 5], [2, 2], [4, 3], [6, 1], [8, 2]], 1121/14155776],
[[[1, 5], [2, 2], [4, 3], [6, 1], [12, 2]], 31/663552],
[[[1, 5], [2, 2], [4, 3], [6, 1], [20, 1]], 31/184320],
[[[1, 5], [2, 2], [4, 4], [5, 1], [6, 2]], 1/294912],
[[[1, 5], [2, 2], [4, 4], [5, 1], [8, 1]], 15/131072],
[[[1, 5], [2, 2], [4, 4], [5, 1], [10, 1]], 13/1228800],
[[[1, 5], [2, 2], [4, 4], [5, 1], [12, 1]], 19/276480],
[[[1, 5], [2, 2], [4, 4], [6, 2], [12, 1]], 1/497664],
[[[1, 5], [2, 2], [4, 4], [8, 1], [10, 1]], 7/122880],
[[[1, 5], [2, 2], [4, 4], [8, 1], [12, 1]], 4301/8847360],
[[[1, 5], [2, 2], [4, 4], [10, 1], [12, 1]], 19/276480],
[[[1, 5], [2, 2], [4, 5], [5, 1], [6, 1]], 1/327680],
[[[1, 5], [2, 2], [4, 5], [6, 1], [8, 1]], 575/56623104],
[[[1, 5], [2, 2], [4, 5], [6, 1], [12, 1]], 31/2654208],
[[[1, 5], [2, 2], [5, 1], [8, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 2], [5, 1], [8, 2], [10, 1]], 1/5120],
[[[1, 5], [2, 2], [6, 2], [8, 1], [16, 1]], 1/55296],
[[[1, 5], [2, 2], [6, 2], [10, 1], [30, 1]], 1/11520],
[[[1, 5], [2, 2], [8, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 4]], 7/2985984],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 2]], 16531/14155776],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 2]], 1/230400],
[[[1, 5], [2, 4], [3, 1], [4, 2], [12, 2]], 89/995328],
[[[1, 5], [2, 4], [3, 1], [4, 2], [16, 1]], 9/16384],
[[[1, 5], [2, 4], [3, 1], [4, 2], [20, 1]], 89/276480],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 3]], 53/995328],
[[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1]], 877/11796480],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 2]], 227/1179648],
[[[1, 5], [2, 4], [3, 1], [4, 4], [8, 1]], 30169/28311552],
[[[1, 5], [2, 4], [3, 1], [4, 4], [10, 1]], 311/5898240],
[[[1, 5], [2, 4], [3, 1], [4, 4], [12, 1]], 2339/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 5], [6, 1]], 15463/84934656],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 4]], 1/311040],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 5], [2, 4], [3, 1], [5, 1], [10, 2]], 11/24000],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 2]], 1/14400],
[[[1, 5], [2, 4], [3, 1], [5, 2], [10, 1]], 1/2400],
[[[1, 5], [2, 4], [3, 1], [6, 2], [8, 2]], 5/221184],
[[[1, 5], [2, 4], [3, 1], [6, 3], [18, 1]], 13/27648],
[[[1, 5], [2, 4], [3, 1], [8, 1], [16, 1]], 89/442368],
[[[1, 5], [2, 4], [3, 1], [8, 2], [10, 1]], 1/20480],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 4]], 1/62208],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 2]], 17/196608],
[[[1, 5], [2, 4], [3, 2], [4, 1], [16, 1]], 1/6144],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 3]], 323/995328],
[[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 2]], 71/165888],
[[[1, 5], [2, 4], [3, 2], [4, 3], [8, 1]], 2897/7077888],
[[[1, 5], [2, 4], [3, 2], [4, 3], [10, 1]], 7/184320],
[[[1, 5], [2, 4], [3, 2], [4, 3], [12, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 2], [4, 4], [6, 1]], 4981/21233664],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 3]], 43/155520],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 2]], 11/221184],
[[[1, 5], [2, 4], [3, 2], [6, 2], [9, 1]], 5/9216],
[[[1, 5], [2, 4], [3, 2], [6, 2], [18, 1]], 5/9216],
[[[1, 5], [2, 4], [3, 2], [6, 3], [8, 1]], 1/4608],
[[[1, 5], [2, 4], [3, 2], [6, 3], [10, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 3]], 1771/1492992],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 2]], 149/331776],
[[[1, 5], [2, 4], [3, 3], [4, 2], [8, 1]], 113/2654208],
[[[1, 5], [2, 4], [3, 3], [4, 2], [10, 1]], 11/276480],
[[[1, 5], [2, 4], [3, 3], [4, 3], [6, 1]], 49/331776],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 2]], 1/6480],
[[[1, 5], [2, 4], [3, 3], [6, 1], [9, 1]], 5/4608],
[[[1, 5], [2, 4], [3, 3], [6, 2], [8, 1]], 79/248832],
[[[1, 5], [2, 4], [3, 3], [6, 2], [10, 1]], 37/155520],
[[[1, 5], [2, 4], [3, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 2]], 1433/1990656],
[[[1, 5], [2, 4], [3, 4], [4, 1], [8, 1]], 13/15925248],
[[[1, 5], [2, 4], [3, 4], [4, 1], [10, 1]], 7/414720],
[[[1, 5], [2, 4], [3, 4], [4, 2], [6, 1]], 43/746496],
[[[1, 5], [2, 4], [3, 4], [6, 1], [8, 1]], 1/497664],
[[[1, 5], [2, 4], [3, 4], [6, 1], [10, 1]], 13/311040],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 1]], 1/746496],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 2]], 191/491520],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 2]], 3/6400],
[[[1, 5], [2, 4], [4, 1], [5, 1], [16, 1]], 7/30720],
[[[1, 5], [2, 4], [4, 1], [5, 2], [6, 2]], 1/23040],
[[[1, 5], [2, 4], [4, 1], [5, 2], [8, 1]], 13/1228800],
[[[1, 5], [2, 4], [4, 1], [5, 2], [10, 1]], 9/16000],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 2]], 125/3538944],
[[[1, 5], [2, 4], [4, 1], [6, 2], [16, 1]], 7/55296],
[[[1, 5], [2, 4], [4, 1], [6, 4], [8, 1]], 1/15925248],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 2]], 1/1228800],
[[[1, 5], [2, 4], [4, 1], [8, 1], [16, 1]], 151/245760],
[[[1, 5], [2, 4], [4, 1], [8, 2], [10, 1]], 329/983040],
[[[1, 5], [2, 4], [4, 1], [8, 2], [12, 1]], 7/27648],
[[[1, 5], [2, 4], [4, 1], [10, 1], [16, 1]], 7/30720],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 3]], 1/30720],
[[[1, 5], [2, 4], [4, 2], [5, 2], [6, 1]], 1/57600],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 2]], 12439/14155776],
[[[1, 5], [2, 4], [4, 2], [6, 1], [12, 2]], 77/995328],
[[[1, 5], [2, 4], [4, 2], [6, 1], [16, 1]], 65/147456],
[[[1, 5], [2, 4], [4, 2], [6, 1], [20, 1]], 77/276480],
[[[1, 5], [2, 4], [4, 2], [6, 3], [8, 1]], 13/5308416],
[[[1, 5], [2, 4], [4, 3], [5, 1], [6, 2]], 31/552960],
[[[1, 5], [2, 4], [4, 3], [5, 1], [8, 1]], 517/589824],
[[[1, 5], [2, 4], [4, 3], [5, 1], [10, 1]], 433/921600],
[[[1, 5], [2, 4], [4, 3], [5, 1], [12, 1]], 23/92160],
[[[1, 5], [2, 4], [4, 3], [6, 2], [8, 1]], 2759/21233664],
[[[1, 5], [2, 4], [4, 3], [6, 2], [12, 1]], 7/82944],
[[[1, 5], [2, 4], [4, 3], [8, 1], [10, 1]], 2129/2949120],
[[[1, 5], [2, 4], [4, 3], [8, 1], [12, 1]], 6053/3538944],
[[[1, 5], [2, 4], [4, 3], [10, 1], [12, 1]], 23/92160],
[[[1, 5], [2, 4], [4, 4], [5, 1], [6, 1]], 51/655360],
[[[1, 5], [2, 4], [4, 4], [6, 1], [8, 1]], 15313/18874368],
[[[1, 5], [2, 4], [4, 4], [6, 1], [10, 1]], 553/11796480],
[[[1, 5], [2, 4], [4, 4], [6, 1], [12, 1]], 1931/3981312],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 2]], 1/20480],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 5], [2, 4], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 4], [5, 2], [6, 1], [10, 1]], 11/24000],
[[[1, 5], [2, 4], [6, 1], [8, 1], [16, 1]], 77/442368],
[[[1, 5], [2, 4], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2]], 1/1843200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 4]], 623/7962624],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 2]], 1369/3538944],
[[[1, 5], [2, 6], [3, 1], [4, 1], [10, 2]], 197/1843200],
[[[1, 5], [2, 6], [3, 1], [4, 1], [16, 1]], 77/442368],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 3]], 11845/23887872],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1]], 19/196608],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 2]], 9331/10616832],
[[[1, 5], [2, 6], [3, 1], [4, 3], [8, 1]], 128759/106168320],
[[[1, 5], [2, 6], [3, 1], [4, 3], [10, 1]], 553/2211840],
[[[1, 5], [2, 6], [3, 1], [4, 3], [12, 1]], 427/1327104],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 1]], 8855/12582912],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 3]], 37/248832],
[[[1, 5], [2, 6], [3, 1], [5, 2], [6, 1]], 1/460800],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 2]], 241/1769472],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 2]], 11/276480],
[[[1, 5], [2, 6], [3, 1], [6, 3], [8, 1]], 113/1990656],
[[[1, 5], [2, 6], [3, 1], [6, 3], [10, 1]], 11/497664],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 3]], 1859/1990656],
[[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1]], 259/66355200],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 2]], 6893/5308416],
[[[1, 5], [2, 6], [3, 2], [4, 2], [8, 1]], 457/1769472],
[[[1, 5], [2, 6], [3, 2], [4, 2], [10, 1]], 55/294912],
[[[1, 5], [2, 6], [3, 2], [4, 2], [12, 1]], 7/165888],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 1]], 7213/10616832],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 2]], 37/184320],
[[[1, 5], [2, 6], [3, 2], [5, 1], [8, 1]], 1/2211840],
[[[1, 5], [2, 6], [3, 2], [5, 1], [10, 1]], 293/1382400],
[[[1, 5], [2, 6], [3, 2], [6, 2], [8, 1]], 151/442368],
[[[1, 5], [2, 6], [3, 2], [6, 2], [10, 1]], 323/829440],
[[[1, 5], [2, 6], [3, 2], [8, 1], [10, 1]], 1/40960],
[[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1]], 1/3317760],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 2]], 613/995328],
[[[1, 5], [2, 6], [3, 3], [4, 1], [8, 1]], 323/79626240],
[[[1, 5], [2, 6], [3, 3], [4, 1], [10, 1]], 59/1658880],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 1]], 479/2654208],
[[[1, 5], [2, 6], [3, 3], [5, 1], [6, 1]], 1/829440],
[[[1, 5], [2, 6], [3, 3], [6, 1], [8, 1]], 55/3981312],
[[[1, 5], [2, 6], [3, 3], [6, 1], [10, 1]], 113/1244160],
[[[1, 5], [2, 6], [3, 4], [4, 1], [6, 1]], 29/2654208],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 3]], 31/331776],
[[[1, 5], [2, 6], [4, 1], [5, 2], [6, 1]], 41/1843200],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 2]], 1703/3538944],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 2]], 13/1843200],
[[[1, 5], [2, 6], [4, 1], [6, 1], [16, 1]], 89/442368],
[[[1, 5], [2, 6], [4, 1], [6, 3], [8, 1]], 479/15925248],
[[[1, 5], [2, 6], [4, 1], [6, 3], [10, 1]], 13/3317760],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 2]], 797/4423680],
[[[1, 5], [2, 6], [4, 2], [5, 1], [8, 1]], 787/1179648],
[[[1, 5], [2, 6], [4, 2], [5, 1], [10, 1]], 2603/2457600],
[[[1, 5], [2, 6], [4, 2], [5, 1], [12, 1]], 7/92160],
[[[1, 5], [2, 6], [4, 2], [6, 2], [8, 1]], 33/65536],
[[[1, 5], [2, 6], [4, 2], [6, 2], [10, 1]], 269/4423680],
[[[1, 5], [2, 6], [4, 2], [6, 2], [12, 1]], 1/18432],
[[[1, 5], [2, 6], [4, 2], [8, 1], [10, 1]], 4907/5898240],
[[[1, 5], [2, 6], [4, 2], [8, 1], [12, 1]], 799/1474560],
[[[1, 5], [2, 6], [4, 2], [10, 1], [12, 1]], 7/92160],
[[[1, 5], [2, 6], [4, 3], [5, 1], [6, 1]], 361/2211840],
[[[1, 5], [2, 6], [4, 3], [6, 1], [8, 1]], 268045/169869312],
[[[1, 5], [2, 6], [4, 3], [6, 1], [10, 1]], 617/2949120],
[[[1, 5], [2, 6], [4, 3], [6, 1], [12, 1]], 499/1327104],
[[[1, 5], [2, 6], [5, 1], [6, 2], [8, 1]], 17/368640],
[[[1, 5], [2, 6], [5, 1], [6, 2], [10, 1]], 23/76800],
[[[1, 5], [2, 6], [5, 1], [8, 1], [10, 1]], 5/9216],
[[[1, 5], [2, 6], [6, 2], [8, 1], [10, 1]], 13/2211840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 3]], 1127/2654208],
[[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1]], 2873/353894400],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 2]], 50597/63700992],
[[[1, 5], [2, 8], [3, 1], [4, 2], [8, 1]], 22475/113246208],
[[[1, 5], [2, 8], [3, 1], [4, 2], [10, 1]], 25553/132710400],
[[[1, 5], [2, 8], [3, 1], [4, 2], [12, 1]], 193/13271040],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 1]], 222787/424673280],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 2]], 523/8294400],
[[[1, 5], [2, 8], [3, 1], [5, 1], [8, 1]], 1/2764800],
[[[1, 5], [2, 8], [3, 1], [5, 1], [10, 1]], 1093/13824000],
[[[1, 5], [2, 8], [3, 1], [6, 2], [8, 1]], 203/1769472],
[[[1, 5], [2, 8], [3, 1], [6, 2], [10, 1]], 197/1105920],
[[[1, 5], [2, 8], [3, 1], [8, 1], [10, 1]], 107/4423680],
[[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1]], 7/13271040],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 2]], 12563/26542080],
[[[1, 5], [2, 8], [3, 2], [4, 1], [8, 1]], 29659/1698693120],
[[[1, 5], [2, 8], [3, 2], [4, 1], [10, 1]], 43/884736],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 1]], 557/2211840],
[[[1, 5], [2, 8], [3, 2], [5, 1], [6, 1]], 37/16588800],
[[[1, 5], [2, 8], [3, 2], [6, 1], [8, 1]], 7/245760],
[[[1, 5], [2, 8], [3, 2], [6, 1], [10, 1]], 169/1658880],
[[[1, 5], [2, 8], [3, 3], [4, 1], [6, 1]], 1361/39813120],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 2]], 173/1474560],
[[[1, 5], [2, 8], [4, 1], [5, 1], [8, 1]], 15319/471859200],
[[[1, 5], [2, 8], [4, 1], [5, 1], [10, 1]], 35/147456],
[[[1, 5], [2, 8], [4, 1], [6, 2], [8, 1]], 137321/849346560],
[[[1, 5], [2, 8], [4, 1], [6, 2], [10, 1]], 563/4423680],
[[[1, 5], [2, 8], [4, 1], [8, 1], [10, 1]], 90623/707788800],
[[[1, 5], [2, 8], [4, 1], [8, 1], [12, 1]], 631/53084160],
[[[1, 5], [2, 8], [4, 2], [5, 1], [6, 1]], 4343/44236800],
[[[1, 5], [2, 8], [4, 2], [6, 1], [8, 1]], 294649/566231040],
[[[1, 5], [2, 8], [4, 2], [6, 1], [10, 1]], 11359/35389440],
[[[1, 5], [2, 8], [4, 2], [6, 1], [12, 1]], 37/1474560],
[[[1, 5], [2, 8], [5, 1], [6, 1], [8, 1]], 13/737280],
[[[1, 5], [2, 8], [5, 1], [6, 1], [10, 1]], 169/921600],
[[[1, 5], [2, 8], [6, 1], [8, 1], [10, 1]], 191/4423680],
[[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1]], 1099/2123366400],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 2]], 1837/10616832],
[[[1, 5], [2, 10], [3, 1], [4, 1], [8, 1]], 130969/20384317440],
[[[1, 5], [2, 10], [3, 1], [4, 1], [10, 1]], 35021/1061683200],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 1]], 14571179/122305904640],
[[[1, 5], [2, 10], [3, 1], [5, 1], [6, 1]], 3649/1592524800],
[[[1, 5], [2, 10], [3, 1], [6, 1], [8, 1]], 9509/849346560],
[[[1, 5], [2, 10], [3, 1], [6, 1], [10, 1]], 2681/53084160],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 1]], 59603/2548039680],
[[[1, 5], [2, 10], [4, 1], [5, 1], [6, 1]], 12221/707788800],
[[[1, 5], [2, 10], [4, 1], [6, 1], [8, 1]], 2028089/40768634880],
[[[1, 5], [2, 10], [4, 1], [6, 1], [10, 1]], 43523/353894400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 1]], 215251/20384317440],
[[[1, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1/61440],
[[[1, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 1/24576],
[[[1, 5], [3, 2], [4, 3], [5, 1], [8, 1]], 1/184320],
[[[1, 5], [4, 1], [8, 1], [12, 1], [24, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2]], 1/153600],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 2]], 127/4718592],
[[[1, 6], [2, 1], [3, 1], [4, 3], [12, 2]], 11/663552],
[[[1, 6], [2, 1], [3, 1], [4, 3], [16, 1]], 1/24576],
[[[1, 6], [2, 1], [3, 1], [4, 3], [20, 1]], 11/184320],
[[[1, 6], [2, 1], [3, 1], [4, 5], [5, 1]], 1/983040],
[[[1, 6], [2, 1], [3, 1], [4, 5], [8, 1]], 481/18874368],
[[[1, 6], [2, 1], [3, 1], [4, 5], [12, 1]], 83/2654208],
[[[1, 6], [2, 1], [3, 1], [4, 6], [6, 1]], 1/6291456],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2]], 1/230400],
[[[1, 6], [2, 1], [3, 2], [4, 2], [8, 2]], 23/2359296],
[[[1, 6], [2, 1], [3, 2], [4, 2], [12, 2]], 13/147456],
[[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1]], 1/491520],
[[[1, 6], [2, 1], [3, 2], [4, 4], [8, 1]], 17/2359296],
[[[1, 6], [2, 1], [3, 2], [4, 5], [6, 1]], 1/3538944],
[[[1, 6], [2, 1], [3, 2], [5, 1], [15, 1]], 13/11520],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 2]], 1/110592],
[[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 3], [4, 3], [8, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 3], [4, 4], [6, 1]], 1/884736],
[[[1, 6], [2, 1], [3, 4], [4, 1], [9, 1]], 1/2304],
[[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1]], 1/829440],
[[[1, 6], [2, 1], [3, 4], [4, 2], [8, 1]], 5/442368],
[[[1, 6], [2, 1], [3, 4], [4, 3], [6, 1]], 1/1990656],
[[[1, 6], [2, 1], [3, 4], [6, 1], [9, 1]], 1/864],
[[[1, 6], [2, 1], [3, 5], [4, 1], [8, 1]], 1/497664],
[[[1, 6], [2, 1], [3, 5], [4, 2], [6, 1]], 31/1990656],
[[[1, 6], [2, 1], [4, 2], [5, 1], [8, 2]], 13/1966080],
[[[1, 6], [2, 1], [4, 2], [5, 2], [8, 1]], 7/102400],
[[[1, 6], [2, 1], [4, 2], [8, 1], [12, 2]], 11/2211840],
[[[1, 6], [2, 1], [4, 2], [8, 1], [16, 1]], 43/786432],
[[[1, 6], [2, 1], [4, 2], [8, 1], [20, 1]], 11/614400],
[[[1, 6], [2, 1], [4, 2], [8, 2], [12, 1]], 7/294912],
[[[1, 6], [2, 1], [4, 3], [5, 2], [6, 1]], 1/153600],
[[[1, 6], [2, 1], [4, 3], [6, 1], [8, 2]], 7/4718592],
[[[1, 6], [2, 1], [4, 3], [6, 1], [12, 2]], 1/221184],
[[[1, 6], [2, 1], [4, 3], [6, 1], [20, 1]], 1/61440],
[[[1, 6], [2, 1], [4, 4], [5, 1], [8, 1]], 7/393216],
[[[1, 6], [2, 1], [4, 4], [8, 1], [12, 1]], 221/8847360],
[[[1, 6], [2, 1], [4, 5], [5, 1], [6, 1]], 1/983040],
[[[1, 6], [2, 1], [4, 5], [6, 1], [12, 1]], 1/884736],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2]], 7/153600],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 2]], 6211/11796480],
[[[1, 6], [2, 3], [3, 1], [4, 2], [12, 2]], 37/1105920],
[[[1, 6], [2, 3], [3, 1], [4, 2], [16, 1]], 71/294912],
[[[1, 6], [2, 3], [3, 1], [4, 2], [20, 1]], 37/307200],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 3]], 1/497664],
[[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1]], 251/5898240],
[[[1, 6], [2, 3], [3, 1], [4, 4], [6, 2]], 983/42467328],
[[[1, 6], [2, 3], [3, 1], [4, 4], [8, 1]], 4327/9437184],
[[[1, 6], [2, 3], [3, 1], [4, 4], [10, 1]], 11/3932160],
[[[1, 6], [2, 3], [3, 1], [4, 4], [12, 1]], 103/491520],
[[[1, 6], [2, 3], [3, 1], [4, 5], [6, 1]], 785/10616832],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 2]], 1/61440],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 2]], 7/86400],
[[[1, 6], [2, 3], [3, 1], [5, 2], [10, 1]], 1/24000],
[[[1, 6], [2, 3], [3, 1], [6, 3], [18, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [8, 1], [16, 1]], 37/491520],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 2]], 43/589824],
[[[1, 6], [2, 3], [3, 2], [4, 1], [16, 1]], 1/18432],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 3]], 1/62208],
[[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1]], 31/552960],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 2]], 107/663552],
[[[1, 6], [2, 3], [3, 2], [4, 3], [8, 1]], 2341/7077888],
[[[1, 6], [2, 3], [3, 2], [4, 3], [10, 1]], 1/92160],
[[[1, 6], [2, 3], [3, 2], [4, 3], [12, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [4, 4], [6, 1]], 409/4718592],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 3]], 1/25920],
[[[1, 6], [2, 3], [3, 2], [5, 2], [6, 1]], 1/86400],
[[[1, 6], [2, 3], [3, 2], [6, 1], [8, 2]], 1/36864],
[[[1, 6], [2, 3], [3, 2], [6, 2], [9, 1]], 13/55296],
[[[1, 6], [2, 3], [3, 2], [6, 2], [18, 1]], 13/55296],
[[[1, 6], [2, 3], [3, 2], [6, 3], [8, 1]], 1/20736],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 3]], 23/186624],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1]], 1/30720],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 2]], 259/1492992],
[[[1, 6], [2, 3], [3, 3], [4, 2], [8, 1]], 221/2654208],
[[[1, 6], [2, 3], [3, 3], [4, 2], [10, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 3], [4, 3], [6, 1]], 13/110592],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 2]], 5/31104],
[[[1, 6], [2, 3], [3, 3], [5, 1], [10, 1]], 1/43200],
[[[1, 6], [2, 3], [3, 3], [6, 1], [9, 1]], 5/4608],
[[[1, 6], [2, 3], [3, 3], [6, 2], [8, 1]], 37/248832],
[[[1, 6], [2, 3], [3, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 2]], 1433/1990656],
[[[1, 6], [2, 3], [3, 4], [4, 1], [8, 1]], 41/2654208],
[[[1, 6], [2, 3], [3, 4], [4, 1], [10, 1]], 7/414720],
[[[1, 6], [2, 3], [3, 4], [4, 2], [6, 1]], 149/1990656],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 1]], 1/311040],
[[[1, 6], [2, 3], [3, 4], [6, 1], [8, 1]], 13/497664],
[[[1, 6], [2, 3], [3, 4], [6, 1], [10, 1]], 1/25920],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 1]], 331/2985984],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 2]], 43/491520],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 2]], 1/6400],
[[[1, 6], [2, 3], [4, 1], [5, 1], [16, 1]], 1/30720],
[[[1, 6], [2, 3], [4, 1], [5, 2], [6, 2]], 1/23040],
[[[1, 6], [2, 3], [4, 1], [5, 2], [8, 1]], 17/204800],
[[[1, 6], [2, 3], [4, 1], [5, 2], [10, 1]], 1/4000],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 2]], 17/3538944],
[[[1, 6], [2, 3], [4, 1], [6, 2], [16, 1]], 1/55296],
[[[1, 6], [2, 3], [4, 1], [8, 1], [16, 1]], 13/61440],
[[[1, 6], [2, 3], [4, 1], [8, 2], [10, 1]], 7/327680],
[[[1, 6], [2, 3], [4, 1], [8, 2], [12, 1]], 121/1474560],
[[[1, 6], [2, 3], [4, 1], [10, 1], [16, 1]], 1/30720],
[[[1, 6], [2, 3], [4, 2], [5, 2], [6, 1]], 3/51200],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 2]], 3571/17694720],
[[[1, 6], [2, 3], [4, 2], [6, 1], [12, 2]], 193/9953280],
[[[1, 6], [2, 3], [4, 2], [6, 1], [16, 1]], 31/294912],
[[[1, 6], [2, 3], [4, 2], [6, 1], [20, 1]], 193/2764800],
[[[1, 6], [2, 3], [4, 2], [6, 3], [8, 1]], 1/5308416],
[[[1, 6], [2, 3], [4, 3], [5, 1], [6, 2]], 1/34560],
[[[1, 6], [2, 3], [4, 3], [5, 1], [8, 1]], 229/589824],
[[[1, 6], [2, 3], [4, 3], [5, 1], [10, 1]], 139/921600],
[[[1, 6], [2, 3], [4, 3], [5, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [4, 3], [6, 2], [8, 1]], 1379/106168320],
[[[1, 6], [2, 3], [4, 3], [6, 2], [12, 1]], 1/82944],
[[[1, 6], [2, 3], [4, 3], [8, 1], [10, 1]], 103/614400],
[[[1, 6], [2, 3], [4, 3], [8, 1], [12, 1]], 2539/5898240],
[[[1, 6], [2, 3], [4, 3], [10, 1], [12, 1]], 1/18432],
[[[1, 6], [2, 3], [4, 4], [5, 1], [6, 1]], 461/11796480],
[[[1, 6], [2, 3], [4, 4], [6, 1], [8, 1]], 6215/56623104],
[[[1, 6], [2, 3], [4, 4], [6, 1], [12, 1]], 2983/39813120],
[[[1, 6], [2, 3], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 6], [2, 3], [6, 1], [8, 1], [16, 1]], 193/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2]], 13/1843200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 4]], 29/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 2]], 1703/3538944],
[[[1, 6], [2, 5], [3, 1], [4, 1], [10, 2]], 41/1843200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [16, 1]], 89/442368],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 3]], 479/2654208],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1]], 617/2949120],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 2]], 7213/10616832],
[[[1, 6], [2, 5], [3, 1], [4, 3], [8, 1]], 268045/169869312],
[[[1, 6], [2, 5], [3, 1], [4, 3], [10, 1]], 361/2211840],
[[[1, 6], [2, 5], [3, 1], [4, 3], [12, 1]], 499/1327104],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 1]], 8855/12582912],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 3]], 113/1244160],
[[[1, 6], [2, 5], [3, 1], [5, 2], [6, 1]], 11/276480],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 2]], 241/1769472],
[[[1, 6], [2, 5], [3, 1], [6, 1], [10, 2]], 1/460800],
[[[1, 6], [2, 5], [3, 1], [6, 3], [8, 1]], 55/3981312],
[[[1, 6], [2, 5], [3, 1], [6, 3], [10, 1]], 1/829440],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 3]], 613/995328],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1]], 269/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 2]], 6893/5308416],
[[[1, 6], [2, 5], [3, 2], [4, 2], [8, 1]], 33/65536],
[[[1, 6], [2, 5], [3, 2], [4, 2], [10, 1]], 797/4423680],
[[[1, 6], [2, 5], [3, 2], [4, 2], [12, 1]], 1/18432],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 1]], 9331/10616832],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 2]], 323/829440],
[[[1, 6], [2, 5], [3, 2], [5, 1], [8, 1]], 13/2211840],
[[[1, 6], [2, 5], [3, 2], [5, 1], [10, 1]], 23/76800],
[[[1, 6], [2, 5], [3, 2], [6, 2], [8, 1]], 151/442368],
[[[1, 6], [2, 5], [3, 2], [6, 2], [10, 1]], 37/184320],
[[[1, 6], [2, 5], [3, 2], [8, 1], [10, 1]], 17/368640],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1]], 13/3317760],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 2]], 1859/1990656],
[[[1, 6], [2, 5], [3, 3], [4, 1], [8, 1]], 479/15925248],
[[[1, 6], [2, 5], [3, 3], [4, 1], [10, 1]], 31/331776],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 1]], 11845/23887872],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 1]], 11/497664],
[[[1, 6], [2, 5], [3, 3], [6, 1], [8, 1]], 113/1990656],
[[[1, 6], [2, 5], [3, 3], [6, 1], [10, 1]], 37/248832],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 1]], 623/7962624],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 3]], 59/1658880],
[[[1, 6], [2, 5], [4, 1], [5, 2], [6, 1]], 197/1843200],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 2]], 1369/3538944],
[[[1, 6], [2, 5], [4, 1], [6, 1], [10, 2]], 1/1843200],
[[[1, 6], [2, 5], [4, 1], [6, 1], [16, 1]], 77/442368],
[[[1, 6], [2, 5], [4, 1], [6, 3], [8, 1]], 323/79626240],
[[[1, 6], [2, 5], [4, 1], [6, 3], [10, 1]], 1/3317760],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 2]], 55/294912],
[[[1, 6], [2, 5], [4, 2], [5, 1], [8, 1]], 4907/5898240],
[[[1, 6], [2, 5], [4, 2], [5, 1], [10, 1]], 2603/2457600],
[[[1, 6], [2, 5], [4, 2], [5, 1], [12, 1]], 7/92160],
[[[1, 6], [2, 5], [4, 2], [6, 2], [8, 1]], 457/1769472],
[[[1, 6], [2, 5], [4, 2], [6, 2], [10, 1]], 259/66355200],
[[[1, 6], [2, 5], [4, 2], [6, 2], [12, 1]], 7/165888],
[[[1, 6], [2, 5], [4, 2], [8, 1], [10, 1]], 787/1179648],
[[[1, 6], [2, 5], [4, 2], [8, 1], [12, 1]], 799/1474560],
[[[1, 6], [2, 5], [4, 2], [10, 1], [12, 1]], 7/92160],
[[[1, 6], [2, 5], [4, 3], [5, 1], [6, 1]], 553/2211840],
[[[1, 6], [2, 5], [4, 3], [6, 1], [8, 1]], 128759/106168320],
[[[1, 6], [2, 5], [4, 3], [6, 1], [10, 1]], 19/196608],
[[[1, 6], [2, 5], [4, 3], [6, 1], [12, 1]], 427/1327104],
[[[1, 6], [2, 5], [5, 1], [6, 2], [8, 1]], 1/40960],
[[[1, 6], [2, 5], [5, 1], [6, 2], [10, 1]], 293/1382400],
[[[1, 6], [2, 5], [5, 1], [8, 1], [10, 1]], 5/9216],
[[[1, 6], [2, 5], [6, 2], [8, 1], [10, 1]], 1/2211840],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 3]], 3325/7962624],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1]], 12407/132710400],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 2]], 52943/42467328],
[[[1, 6], [2, 7], [3, 1], [4, 2], [8, 1]], 426509/566231040],
[[[1, 6], [2, 7], [3, 1], [4, 2], [10, 1]], 12607/35389440],
[[[1, 6], [2, 7], [3, 1], [4, 2], [12, 1]], 89/1327104],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 1]], 51241/42467328],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 2]], 203/1105920],
[[[1, 6], [2, 7], [3, 1], [5, 1], [8, 1]], 1/172800],
[[[1, 6], [2, 7], [3, 1], [5, 1], [10, 1]], 877/2764800],
[[[1, 6], [2, 7], [3, 1], [6, 2], [8, 1]], 293/1769472],
[[[1, 6], [2, 7], [3, 1], [6, 2], [10, 1]], 217/1658880],
[[[1, 6], [2, 7], [3, 1], [8, 1], [10, 1]], 191/4423680],
[[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1]], 23/2654208],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 2]], 30563/26542080],
[[[1, 6], [2, 7], [3, 2], [4, 1], [8, 1]], 94079/849346560],
[[[1, 6], [2, 7], [3, 2], [4, 1], [10, 1]], 563/4423680],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 1]], 190813/212336640],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 1]], 229/4147200],
[[[1, 6], [2, 7], [3, 2], [6, 1], [8, 1]], 11/98304],
[[[1, 6], [2, 7], [3, 2], [6, 1], [10, 1]], 229/1105920],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 1]], 8131/39813120],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 2]], 257/1474560],
[[[1, 6], [2, 7], [4, 1], [5, 1], [8, 1]], 140429/707788800],
[[[1, 6], [2, 7], [4, 1], [5, 1], [10, 1]], 791/1228800],
[[[1, 6], [2, 7], [4, 1], [6, 2], [8, 1]], 53783/283115520],
[[[1, 6], [2, 7], [4, 1], [6, 2], [10, 1]], 43/884736],
[[[1, 6], [2, 7], [4, 1], [8, 1], [10, 1]], 177023/707788800],
[[[1, 6], [2, 7], [4, 1], [8, 1], [12, 1]], 1837/53084160],
[[[1, 6], [2, 7], [4, 2], [5, 1], [6, 1]], 235/786432],
[[[1, 6], [2, 7], [4, 2], [6, 1], [8, 1]], 553631/566231040],
[[[1, 6], [2, 7], [4, 2], [6, 1], [10, 1]], 30233/132710400],
[[[1, 6], [2, 7], [4, 2], [6, 1], [12, 1]], 101/1327104],
[[[1, 6], [2, 7], [5, 1], [6, 1], [8, 1]], 29/737280],
[[[1, 6], [2, 7], [5, 1], [6, 1], [10, 1]], 1081/2764800],
[[[1, 6], [2, 7], [6, 1], [8, 1], [10, 1]], 107/4423680],
[[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1]], 13273/2123366400],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 2]], 57523/141557760],
[[[1, 6], [2, 9], [3, 1], [4, 1], [8, 1]], 232837/4529848320],
[[[1, 6], [2, 9], [3, 1], [4, 1], [10, 1]], 94943/1061683200],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 1]], 5787031/13589544960],
[[[1, 6], [2, 9], [3, 1], [5, 1], [6, 1]], 10373/530841600],
[[[1, 6], [2, 9], [3, 1], [6, 1], [8, 1]], 18733/424673280],
[[[1, 6], [2, 9], [3, 1], [6, 1], [10, 1]], 23923/265420800],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 1]], 13181/94371840],
[[[1, 6], [2, 9], [4, 1], [5, 1], [6, 1]], 45143/707788800],
[[[1, 6], [2, 9], [4, 1], [6, 1], [8, 1]], 2266861/16986931200],
[[[1, 6], [2, 9], [4, 1], [6, 1], [10, 1]], 48361/353894400],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 1]], 331/7077888],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2]], 3/51200],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 2]], 157/3932160],
[[[1, 7], [2, 2], [3, 1], [4, 2], [12, 2]], 11/3317760],
[[[1, 7], [2, 2], [3, 1], [4, 2], [16, 1]], 11/294912],
[[[1, 7], [2, 2], [3, 1], [4, 2], [20, 1]], 11/921600],
[[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1]], 103/5898240],
[[[1, 7], [2, 2], [3, 1], [4, 4], [6, 2]], 37/42467328],
[[[1, 7], [2, 2], [3, 1], [4, 4], [8, 1]], 29491/283115520],
[[[1, 7], [2, 2], [3, 1], [4, 4], [10, 1]], 1/2359296],
[[[1, 7], [2, 2], [3, 1], [4, 4], [12, 1]], 521/13271040],
[[[1, 7], [2, 2], [3, 1], [4, 5], [6, 1]], 17/4718592],
[[[1, 7], [2, 2], [3, 1], [5, 1], [8, 2]], 1/61440],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 2]], 1/86400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [8, 1]], 1/38400],
[[[1, 7], [2, 2], [3, 1], [5, 2], [10, 1]], 1/24000],
[[[1, 7], [2, 2], [3, 1], [8, 1], [16, 1]], 11/1474560],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2]], 1/23040],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 2]], 23/1179648],
[[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1]], 7/184320],
[[[1, 7], [2, 2], [3, 2], [4, 3], [6, 2]], 1/165888],
[[[1, 7], [2, 2], [3, 2], [4, 3], [8, 1]], 11/262144],
[[[1, 7], [2, 2], [3, 2], [4, 4], [6, 1]], 325/14155776],
[[[1, 7], [2, 2], [3, 2], [5, 2], [6, 1]], 7/86400],
[[[1, 7], [2, 2], [3, 2], [6, 2], [9, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 2], [6, 2], [18, 1]], 1/55296],
[[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1]], 11/276480],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 2]], 49/1492992],
[[[1, 7], [2, 2], [3, 3], [4, 2], [8, 1]], 95/1769472],
[[[1, 7], [2, 2], [3, 3], [4, 2], [10, 1]], 1/414720],
[[[1, 7], [2, 2], [3, 3], [4, 3], [6, 1]], 11/497664],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 2]], 19/155520],
[[[1, 7], [2, 2], [3, 3], [5, 1], [8, 1]], 1/69120],
[[[1, 7], [2, 2], [3, 3], [5, 1], [10, 1]], 1/43200],
[[[1, 7], [2, 2], [3, 3], [6, 1], [9, 1]], 13/27648],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1]], 7/414720],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 2]], 1/62208],
[[[1, 7], [2, 2], [3, 4], [4, 1], [8, 1]], 19/884736],
[[[1, 7], [2, 2], [3, 4], [4, 2], [6, 1]], 47/1990656],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 1]], 13/311040],
[[[1, 7], [2, 2], [3, 4], [6, 1], [8, 1]], 1/41472],
[[[1, 7], [2, 2], [3, 5], [4, 1], [6, 1]], 331/2985984],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 2]], 13/983040],
[[[1, 7], [2, 2], [4, 1], [5, 2], [8, 1]], 17/204800],
[[[1, 7], [2, 2], [4, 1], [8, 1], [16, 1]], 37/1474560],
[[[1, 7], [2, 2], [4, 1], [8, 2], [12, 1]], 11/1474560],
[[[1, 7], [2, 2], [4, 2], [5, 2], [6, 1]], 7/153600],
[[[1, 7], [2, 2], [4, 2], [6, 1], [8, 2]], 61/17694720],
[[[1, 7], [2, 2], [4, 2], [6, 1], [12, 2]], 13/9953280],
[[[1, 7], [2, 2], [4, 2], [6, 1], [16, 1]], 1/98304],
[[[1, 7], [2, 2], [4, 2], [6, 1], [20, 1]], 13/2764800],
[[[1, 7], [2, 2], [4, 3], [5, 1], [8, 1]], 67/983040],
[[[1, 7], [2, 2], [4, 3], [6, 2], [8, 1]], 19/106168320],
[[[1, 7], [2, 2], [4, 3], [8, 1], [10, 1]], 1/7372800],
[[[1, 7], [2, 2], [4, 3], [8, 1], [12, 1]], 21/655360],
[[[1, 7], [2, 2], [4, 4], [5, 1], [6, 1]], 137/11796480],
[[[1, 7], [2, 2], [4, 4], [6, 1], [8, 1]], 121/17694720],
[[[1, 7], [2, 2], [4, 4], [6, 1], [12, 1]], 283/39813120],
[[[1, 7], [2, 2], [6, 1], [8, 1], [16, 1]], 13/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2]], 47/921600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 4]], 1/1990656],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 2]], 551/2621440],
[[[1, 7], [2, 4], [3, 1], [4, 1], [16, 1]], 37/491520],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 3]], 809/39813120],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1]], 433/2211840],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 2]], 1847/13271040],
[[[1, 7], [2, 4], [3, 1], [4, 3], [8, 1]], 216587/283115520],
[[[1, 7], [2, 4], [3, 1], [4, 3], [10, 1]], 463/14745600],
[[[1, 7], [2, 4], [3, 1], [4, 3], [12, 1]], 577/4423680],
[[[1, 7], [2, 4], [3, 1], [4, 4], [6, 1]], 59311/212336640],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 3]], 11/497664],
[[[1, 7], [2, 4], [3, 1], [5, 2], [6, 1]], 77/691200],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 2]], 143/3538944],
[[[1, 7], [2, 4], [3, 1], [6, 3], [8, 1]], 1/1327104],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 3]], 433/3981312],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1]], 55/294912],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 2]], 2827/5308416],
[[[1, 7], [2, 4], [3, 2], [4, 2], [8, 1]], 3/8192],
[[[1, 7], [2, 4], [3, 2], [4, 2], [10, 1]], 83/1474560],
[[[1, 7], [2, 4], [3, 2], [4, 2], [12, 1]], 1/55296],
[[[1, 7], [2, 4], [3, 2], [4, 3], [6, 1]], 2315/5308416],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 2]], 251/829440],
[[[1, 7], [2, 4], [3, 2], [5, 1], [8, 1]], 1/40960],
[[[1, 7], [2, 4], [3, 2], [5, 1], [10, 1]], 37/230400],
[[[1, 7], [2, 4], [3, 2], [6, 2], [8, 1]], 497/4423680],
[[[1, 7], [2, 4], [3, 2], [6, 2], [10, 1]], 11/552960],
[[[1, 7], [2, 4], [3, 2], [8, 1], [10, 1]], 23/737280],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1]], 59/1658880],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 2]], 2131/3981312],
[[[1, 7], [2, 4], [3, 3], [4, 1], [8, 1]], 1211/15925248],
[[[1, 7], [2, 4], [3, 3], [4, 1], [10, 1]], 253/3317760],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 1]], 10729/23887872],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 1]], 113/1244160],
[[[1, 7], [2, 4], [3, 3], [6, 1], [8, 1]], 185/1990656],
[[[1, 7], [2, 4], [3, 3], [6, 1], [10, 1]], 223/2488320],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 1]], 2131/11943936],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 3]], 13/3317760],
[[[1, 7], [2, 4], [4, 1], [5, 2], [6, 1]], 119/921600],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 2]], 737/7864320],
[[[1, 7], [2, 4], [4, 1], [6, 1], [16, 1]], 193/4423680],
[[[1, 7], [2, 4], [4, 1], [6, 3], [8, 1]], 23/79626240],
[[[1, 7], [2, 4], [4, 2], [5, 1], [6, 2]], 269/4423680],
[[[1, 7], [2, 4], [4, 2], [5, 1], [8, 1]], 439/1179648],
[[[1, 7], [2, 4], [4, 2], [5, 1], [10, 1]], 829/2457600],
[[[1, 7], [2, 4], [4, 2], [5, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 4], [4, 2], [6, 2], [8, 1]], 619/17694720],
[[[1, 7], [2, 4], [4, 2], [6, 2], [10, 1]], 19/66355200],
[[[1, 7], [2, 4], [4, 2], [6, 2], [12, 1]], 1/165888],
[[[1, 7], [2, 4], [4, 2], [8, 1], [10, 1]], 3503/29491200],
[[[1, 7], [2, 4], [4, 2], [8, 1], [12, 1]], 239/1769472],
[[[1, 7], [2, 4], [4, 2], [10, 1], [12, 1]], 1/92160],
[[[1, 7], [2, 4], [4, 3], [5, 1], [6, 1]], 457/2949120],
[[[1, 7], [2, 4], [4, 3], [6, 1], [8, 1]], 4753/17694720],
[[[1, 7], [2, 4], [4, 3], [6, 1], [10, 1]], 1/691200],
[[[1, 7], [2, 4], [4, 3], [6, 1], [12, 1]], 851/13271040],
[[[1, 7], [2, 4], [5, 1], [6, 2], [8, 1]], 13/2211840],
[[[1, 7], [2, 4], [5, 1], [6, 2], [10, 1]], 41/1382400],
[[[1, 7], [2, 4], [5, 1], [8, 1], [10, 1]], 31/153600],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 3]], 8131/39813120],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1]], 30233/132710400],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 2]], 190813/212336640],
[[[1, 7], [2, 6], [3, 1], [4, 2], [8, 1]], 553631/566231040],
[[[1, 7], [2, 6], [3, 1], [4, 2], [10, 1]], 235/786432],
[[[1, 7], [2, 6], [3, 1], [4, 2], [12, 1]], 101/1327104],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 1]], 51241/42467328],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 2]], 229/1105920],
[[[1, 7], [2, 6], [3, 1], [5, 1], [8, 1]], 107/4423680],
[[[1, 7], [2, 6], [3, 1], [5, 1], [10, 1]], 1081/2764800],
[[[1, 7], [2, 6], [3, 1], [6, 2], [8, 1]], 11/98304],
[[[1, 7], [2, 6], [3, 1], [6, 2], [10, 1]], 229/4147200],
[[[1, 7], [2, 6], [3, 1], [8, 1], [10, 1]], 29/737280],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1]], 43/884736],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 2]], 30563/26542080],
[[[1, 7], [2, 6], [3, 2], [4, 1], [8, 1]], 53783/283115520],
[[[1, 7], [2, 6], [3, 2], [4, 1], [10, 1]], 257/1474560],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 1]], 52943/42467328],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 1]], 217/1658880],
[[[1, 7], [2, 6], [3, 2], [6, 1], [8, 1]], 293/1769472],
[[[1, 7], [2, 6], [3, 2], [6, 1], [10, 1]], 203/1105920],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 1]], 3325/7962624],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 2]], 563/4423680],
[[[1, 7], [2, 6], [4, 1], [5, 1], [8, 1]], 177023/707788800],
[[[1, 7], [2, 6], [4, 1], [5, 1], [10, 1]], 791/1228800],
[[[1, 7], [2, 6], [4, 1], [6, 2], [8, 1]], 94079/849346560],
[[[1, 7], [2, 6], [4, 1], [6, 2], [10, 1]], 23/2654208],
[[[1, 7], [2, 6], [4, 1], [8, 1], [10, 1]], 140429/707788800],
[[[1, 7], [2, 6], [4, 1], [8, 1], [12, 1]], 1837/53084160],
[[[1, 7], [2, 6], [4, 2], [5, 1], [6, 1]], 12607/35389440],
[[[1, 7], [2, 6], [4, 2], [6, 1], [8, 1]], 426509/566231040],
[[[1, 7], [2, 6], [4, 2], [6, 1], [10, 1]], 12407/132710400],
[[[1, 7], [2, 6], [4, 2], [6, 1], [12, 1]], 89/1327104],
[[[1, 7], [2, 6], [5, 1], [6, 1], [8, 1]], 191/4423680],
[[[1, 7], [2, 6], [5, 1], [6, 1], [10, 1]], 877/2764800],
[[[1, 7], [2, 6], [6, 1], [8, 1], [10, 1]], 1/172800],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1]], 40781/1061683200],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 2]], 16339/28311552],
[[[1, 7], [2, 8], [3, 1], [4, 1], [8, 1]], 2356163/13589544960],
[[[1, 7], [2, 8], [3, 1], [4, 1], [10, 1]], 50281/353894400],
[[[1, 7], [2, 8], [3, 1], [4, 1], [12, 1]], 1/3317760],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 1]], 14999521/16986931200],
[[[1, 7], [2, 8], [3, 1], [5, 1], [6, 1]], 805/10616832],
[[[1, 7], [2, 8], [3, 1], [6, 1], [8, 1]], 12529/141557760],
[[[1, 7], [2, 8], [3, 1], [6, 1], [10, 1]], 29683/265420800],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 1]], 1333/3145728],
[[[1, 7], [2, 8], [4, 1], [5, 1], [6, 1]], 45443/353894400],
[[[1, 7], [2, 8], [4, 1], [6, 1], [8, 1]], 3786461/16986931200],
[[[1, 7], [2, 8], [4, 1], [6, 1], [10, 1]], 100703/1061683200],
[[[1, 7], [2, 8], [4, 1], [6, 1], [12, 1]], 1/3317760],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 1]], 6765287/50960793600],
[[[1, 7], [3, 1], [4, 1], [5, 2], [8, 1]], 1/38400],
[[[1, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 1/184320],
[[[1, 7], [3, 3], [4, 1], [5, 1], [8, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2]], 1/57600],
[[[1, 8], [2, 1], [3, 1], [4, 2], [8, 2]], 7/7864320],
[[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1]], 11/3932160],
[[[1, 8], [2, 1], [3, 1], [4, 4], [8, 1]], 277/94371840],
[[[1, 8], [2, 1], [3, 1], [4, 5], [6, 1]], 5/28311552],
[[[1, 8], [2, 1], [3, 1], [5, 2], [8, 1]], 1/38400],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2]], 1/23040],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 2]], 1/393216],
[[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1]], 1/92160],
[[[1, 8], [2, 1], [3, 2], [4, 3], [8, 1]], 133/35389440],
[[[1, 8], [2, 1], [3, 2], [4, 4], [6, 1]], 5/7077888],
[[[1, 8], [2, 1], [3, 2], [5, 2], [6, 1]], 1/14400],
[[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1]], 1/103680],
[[[1, 8], [2, 1], [3, 3], [4, 2], [8, 1]], 19/1769472],
[[[1, 8], [2, 1], [3, 3], [4, 3], [6, 1]], 1/995328],
[[[1, 8], [2, 1], [3, 3], [5, 1], [8, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 3], [6, 1], [9, 1]], 1/27648],
[[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1]], 7/414720],
[[[1, 8], [2, 1], [3, 4], [4, 1], [8, 1]], 125/15925248],
[[[1, 8], [2, 1], [3, 4], [4, 2], [6, 1]], 1/248832],
[[[1, 8], [2, 1], [3, 4], [5, 1], [6, 1]], 1/25920],
[[[1, 8], [2, 1], [3, 5], [4, 1], [6, 1]], 1/746496],
[[[1, 8], [2, 1], [4, 1], [5, 1], [8, 2]], 1/983040],
[[[1, 8], [2, 1], [4, 1], [5, 2], [8, 1]], 13/1228800],
[[[1, 8], [2, 1], [4, 1], [8, 1], [16, 1]], 1/1474560],
[[[1, 8], [2, 1], [4, 3], [5, 1], [8, 1]], 1/460800],
[[[1, 8], [2, 1], [4, 3], [8, 1], [12, 1]], 1/1179648],
[[[1, 8], [2, 1], [4, 4], [6, 1], [8, 1]], 1/17694720],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2]], 119/921600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 2]], 619/23592960],
[[[1, 8], [2, 3], [3, 1], [4, 1], [16, 1]], 11/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 3]], 19/39813120],
[[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1]], 241/2211840],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 2]], 313/26542080],
[[[1, 8], [2, 3], [3, 1], [4, 3], [8, 1]], 73/442368],
[[[1, 8], [2, 3], [3, 1], [4, 3], [10, 1]], 7/1638400],
[[[1, 8], [2, 3], [3, 1], [4, 3], [12, 1]], 77/4423680],
[[[1, 8], [2, 3], [3, 1], [4, 4], [6, 1]], 2437/70778880],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 3]], 1/829440],
[[[1, 8], [2, 3], [3, 1], [5, 2], [6, 1]], 77/691200],
[[[1, 8], [2, 3], [3, 1], [6, 1], [8, 2]], 1/1179648],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 3]], 1/147456],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1]], 797/4423680],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 2]], 4297/79626240],
[[[1, 8], [2, 3], [3, 2], [4, 2], [8, 1]], 1/9216],
[[[1, 8], [2, 3], [3, 2], [4, 2], [10, 1]], 133/22118400],
[[[1, 8], [2, 3], [3, 2], [4, 3], [6, 1]], 131/1105920],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 2]], 11/110592],
[[[1, 8], [2, 3], [3, 2], [5, 1], [8, 1]], 17/368640],
[[[1, 8], [2, 3], [3, 2], [5, 1], [10, 1]], 23/460800],
[[[1, 8], [2, 3], [3, 2], [6, 2], [8, 1]], 37/4423680],
[[[1, 8], [2, 3], [3, 2], [8, 1], [10, 1]], 1/245760],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1]], 31/331776],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 2]], 53/442368],
[[[1, 8], [2, 3], [3, 3], [4, 1], [8, 1]], 121/1769472],
[[[1, 8], [2, 3], [3, 3], [4, 1], [10, 1]], 49/3317760],
[[[1, 8], [2, 3], [3, 3], [4, 2], [6, 1]], 1033/7962624],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 1]], 37/248832],
[[[1, 8], [2, 3], [3, 3], [6, 1], [8, 1]], 223/3981312],
[[[1, 8], [2, 3], [3, 3], [6, 1], [10, 1]], 1/92160],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 1]], 1669/11943936],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 3]], 1/3317760],
[[[1, 8], [2, 3], [4, 1], [5, 2], [6, 1]], 47/921600],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 2]], 173/70778880],
[[[1, 8], [2, 3], [4, 1], [6, 1], [16, 1]], 13/4423680],
[[[1, 8], [2, 3], [4, 2], [5, 1], [6, 2]], 259/66355200],
[[[1, 8], [2, 3], [4, 2], [5, 1], [8, 1]], 599/5898240],
[[[1, 8], [2, 3], [4, 2], [5, 1], [10, 1]], 1253/36864000],
[[[1, 8], [2, 3], [4, 2], [6, 2], [8, 1]], 1/1966080],
[[[1, 8], [2, 3], [4, 2], [8, 1], [10, 1]], 23/29491200],
[[[1, 8], [2, 3], [4, 2], [8, 1], [12, 1]], 23/1769472],
[[[1, 8], [2, 3], [4, 3], [5, 1], [6, 1]], 25/589824],
[[[1, 8], [2, 3], [4, 3], [6, 1], [8, 1]], 38987/1698693120],
[[[1, 8], [2, 3], [4, 3], [6, 1], [10, 1]], 1/11059200],
[[[1, 8], [2, 3], [4, 3], [6, 1], [12, 1]], 71/13271040],
[[[1, 8], [2, 3], [5, 1], [6, 2], [8, 1]], 1/2211840],
[[[1, 8], [2, 3], [5, 1], [8, 1], [10, 1]], 1/51200],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 3]], 1361/39813120],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1]], 11359/35389440],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 2]], 557/2211840],
[[[1, 8], [2, 5], [3, 1], [4, 2], [8, 1]], 294649/566231040],
[[[1, 8], [2, 5], [3, 1], [4, 2], [10, 1]], 4343/44236800],
[[[1, 8], [2, 5], [3, 1], [4, 2], [12, 1]], 37/1474560],
[[[1, 8], [2, 5], [3, 1], [4, 3], [6, 1]], 222787/424673280],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 2]], 169/1658880],
[[[1, 8], [2, 5], [3, 1], [5, 1], [8, 1]], 191/4423680],
[[[1, 8], [2, 5], [3, 1], [5, 1], [10, 1]], 169/921600],
[[[1, 8], [2, 5], [3, 1], [6, 2], [8, 1]], 7/245760],
[[[1, 8], [2, 5], [3, 1], [6, 2], [10, 1]], 37/16588800],
[[[1, 8], [2, 5], [3, 1], [8, 1], [10, 1]], 13/737280],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1]], 563/4423680],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 2]], 12563/26542080],
[[[1, 8], [2, 5], [3, 2], [4, 1], [8, 1]], 137321/849346560],
[[[1, 8], [2, 5], [3, 2], [4, 1], [10, 1]], 173/1474560],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 1]], 50597/63700992],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 1]], 197/1105920],
[[[1, 8], [2, 5], [3, 2], [6, 1], [8, 1]], 203/1769472],
[[[1, 8], [2, 5], [3, 2], [6, 1], [10, 1]], 523/8294400],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 1]], 1127/2654208],
[[[1, 8], [2, 5], [4, 1], [5, 1], [6, 2]], 43/884736],
[[[1, 8], [2, 5], [4, 1], [5, 1], [8, 1]], 90623/707788800],
[[[1, 8], [2, 5], [4, 1], [5, 1], [10, 1]], 35/147456],
[[[1, 8], [2, 5], [4, 1], [6, 2], [8, 1]], 29659/1698693120],
[[[1, 8], [2, 5], [4, 1], [6, 2], [10, 1]], 7/13271040],
[[[1, 8], [2, 5], [4, 1], [8, 1], [10, 1]], 15319/471859200],
[[[1, 8], [2, 5], [4, 1], [8, 1], [12, 1]], 631/53084160],
[[[1, 8], [2, 5], [4, 2], [5, 1], [6, 1]], 25553/132710400],
[[[1, 8], [2, 5], [4, 2], [6, 1], [8, 1]], 22475/113246208],
[[[1, 8], [2, 5], [4, 2], [6, 1], [10, 1]], 2873/353894400],
[[[1, 8], [2, 5], [4, 2], [6, 1], [12, 1]], 193/13271040],
[[[1, 8], [2, 5], [5, 1], [6, 1], [8, 1]], 107/4423680],
[[[1, 8], [2, 5], [5, 1], [6, 1], [10, 1]], 1093/13824000],
[[[1, 8], [2, 5], [6, 1], [8, 1], [10, 1]], 1/2764800],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1]], 100703/1061683200],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 2]], 1333/3145728],
[[[1, 8], [2, 7], [3, 1], [4, 1], [8, 1]], 3786461/16986931200],
[[[1, 8], [2, 7], [3, 1], [4, 1], [10, 1]], 45443/353894400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 1]], 14999521/16986931200],
[[[1, 8], [2, 7], [3, 1], [5, 1], [6, 1]], 29683/265420800],
[[[1, 8], [2, 7], [3, 1], [6, 1], [8, 1]], 12529/141557760],
[[[1, 8], [2, 7], [3, 1], [6, 1], [10, 1]], 805/10616832],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 1]], 16339/28311552],
[[[1, 8], [2, 7], [4, 1], [5, 1], [6, 1]], 50281/353894400],
[[[1, 8], [2, 7], [4, 1], [6, 1], [8, 1]], 2356163/13589544960],
[[[1, 8], [2, 7], [4, 1], [6, 1], [10, 1]], 40781/1061683200],
[[[1, 8], [2, 7], [4, 1], [6, 1], [12, 1]], 1/3317760],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 1]], 1657769/6794772480],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2]], 197/1843200],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 2]], 7/3932160],
[[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1]], 463/14745600],
[[[1, 9], [2, 2], [3, 1], [4, 3], [6, 2]], 1/6635520],
[[[1, 9], [2, 2], [3, 1], [4, 3], [8, 1]], 3/262144],
[[[1, 9], [2, 2], [3, 1], [4, 4], [6, 1]], 979/377487360],
[[[1, 9], [2, 2], [3, 1], [5, 2], [6, 1]], 11/276480],
[[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1]], 83/1474560],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 2]], 127/79626240],
[[[1, 9], [2, 2], [3, 2], [4, 2], [8, 1]], 143/5898240],
[[[1, 9], [2, 2], [3, 2], [4, 2], [10, 1]], 13/22118400],
[[[1, 9], [2, 2], [3, 2], [4, 3], [6, 1]], 511/53084160],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 2]], 1/184320],
[[[1, 9], [2, 2], [3, 2], [5, 1], [8, 1]], 23/737280],
[[[1, 9], [2, 2], [3, 2], [5, 1], [10, 1]], 1/153600],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1]], 253/3317760],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 2]], 1/221184],
[[[1, 9], [2, 2], [3, 3], [4, 1], [8, 1]], 37/1769472],
[[[1, 9], [2, 2], [3, 3], [4, 2], [6, 1]], 223/13271040],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 1]], 223/2488320],
[[[1, 9], [2, 2], [3, 3], [6, 1], [8, 1]], 1/147456],
[[[1, 9], [2, 2], [3, 4], [4, 1], [6, 1]], 713/23887872],
[[[1, 9], [2, 2], [4, 1], [5, 2], [6, 1]], 13/1843200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [6, 2]], 19/66355200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [8, 1]], 383/29491200],
[[[1, 9], [2, 2], [4, 2], [5, 1], [10, 1]], 83/36864000],
[[[1, 9], [2, 2], [4, 2], [8, 1], [12, 1]], 1/2211840],
[[[1, 9], [2, 2], [4, 3], [5, 1], [6, 1]], 1/691200],
[[[1, 9], [2, 2], [4, 3], [6, 1], [8, 1]], 67/188743680],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 3]], 7/4976640],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1]], 3109/11796480],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 2]], 6937/212336640],
[[[1, 9], [2, 4], [3, 1], [4, 2], [8, 1]], 151943/1132462080],
[[[1, 9], [2, 4], [3, 1], [4, 2], [10, 1]], 23/1638400],
[[[1, 9], [2, 4], [3, 1], [4, 2], [12, 1]], 11/4423680],
[[[1, 9], [2, 4], [3, 1], [4, 3], [6, 1]], 90713/849346560],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 2]], 109/4147200],
[[[1, 9], [2, 4], [3, 1], [5, 1], [8, 1]], 29/737280],
[[[1, 9], [2, 4], [3, 1], [5, 1], [10, 1]], 37/921600],
[[[1, 9], [2, 4], [3, 1], [6, 2], [8, 1]], 37/26542080],
[[[1, 9], [2, 4], [3, 1], [6, 2], [10, 1]], 1/16588800],
[[[1, 9], [2, 4], [3, 1], [8, 1], [10, 1]], 7/2457600],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1]], 257/1474560],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 2]], 449/5308416],
[[[1, 9], [2, 4], [3, 2], [4, 1], [8, 1]], 76643/849346560],
[[[1, 9], [2, 4], [3, 2], [4, 1], [10, 1]], 29/884736],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 1]], 5227/19906560],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 1]], 19/122880],
[[[1, 9], [2, 4], [3, 2], [6, 1], [8, 1]], 523/13271040],
[[[1, 9], [2, 4], [3, 2], [6, 1], [10, 1]], 19/2073600],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 1]], 28453/119439360],
[[[1, 9], [2, 4], [4, 1], [5, 1], [6, 2]], 23/2654208],
[[[1, 9], [2, 4], [4, 1], [5, 1], [8, 1]], 40589/707788800],
[[[1, 9], [2, 4], [4, 1], [5, 1], [10, 1]], 81/2048000],
[[[1, 9], [2, 4], [4, 1], [6, 2], [8, 1]], 833/1698693120],
[[[1, 9], [2, 4], [4, 1], [8, 1], [10, 1]], 509/471859200],
[[[1, 9], [2, 4], [4, 1], [8, 1], [12, 1]], 1/655360],
[[[1, 9], [2, 4], [4, 2], [5, 1], [6, 1]], 7727/132710400],
[[[1, 9], [2, 4], [4, 2], [6, 1], [8, 1]], 65647/3397386240],
[[[1, 9], [2, 4], [4, 2], [6, 1], [10, 1]], 169/353894400],
[[[1, 9], [2, 4], [4, 2], [6, 1], [12, 1]], 13/13271040],
[[[1, 9], [2, 4], [5, 1], [6, 1], [8, 1]], 1/172800],
[[[1, 9], [2, 4], [5, 1], [6, 1], [10, 1]], 73/13824000],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1]], 48361/353894400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 2]], 13181/94371840],
[[[1, 9], [2, 6], [3, 1], [4, 1], [8, 1]], 2266861/16986931200],
[[[1, 9], [2, 6], [3, 1], [4, 1], [10, 1]], 45143/707788800],
[[[1, 9], [2, 6], [3, 1], [4, 2], [6, 1]], 5787031/13589544960],
[[[1, 9], [2, 6], [3, 1], [5, 1], [6, 1]], 23923/265420800],
[[[1, 9], [2, 6], [3, 1], [6, 1], [8, 1]], 18733/424673280],
[[[1, 9], [2, 6], [3, 1], [6, 1], [10, 1]], 10373/530841600],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 1]], 57523/141557760],
[[[1, 9], [2, 6], [4, 1], [5, 1], [6, 1]], 94943/1061683200],
[[[1, 9], [2, 6], [4, 1], [6, 1], [8, 1]], 232837/4529848320],
[[[1, 9], [2, 6], [4, 1], [6, 1], [10, 1]], 13273/2123366400],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 1]], 1657769/6794772480],
[[[1, 9], [3, 2], [4, 1], [5, 1], [8, 1]], 1/245760],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2]], 41/1843200],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 2]], 1/11796480],
[[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1]], 7/1638400],
[[[1, 10], [2, 1], [3, 1], [4, 3], [8, 1]], 451/1698693120],
[[[1, 10], [2, 1], [3, 1], [4, 4], [6, 1]], 17/1132462080],
[[[1, 10], [2, 1], [3, 1], [5, 2], [6, 1]], 1/460800],
[[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1]], 133/22118400],
[[[1, 10], [2, 1], [3, 2], [4, 2], [8, 1]], 13/5898240],
[[[1, 10], [2, 1], [3, 2], [4, 3], [6, 1]], 13/53084160],
[[[1, 10], [2, 1], [3, 2], [5, 1], [8, 1]], 1/245760],
[[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1]], 49/3317760],
[[[1, 10], [2, 1], [3, 3], [4, 1], [8, 1]], 193/79626240],
[[[1, 10], [2, 1], [3, 3], [4, 2], [6, 1]], 13/13271040],
[[[1, 10], [2, 1], [3, 3], [5, 1], [6, 1]], 1/92160],
[[[1, 10], [2, 1], [3, 4], [4, 1], [6, 1]], 17/23887872],
[[[1, 10], [2, 1], [4, 1], [5, 2], [6, 1]], 1/1843200],
[[[1, 10], [2, 1], [4, 2], [5, 1], [8, 1]], 23/29491200],
[[[1, 10], [2, 1], [4, 3], [5, 1], [6, 1]], 1/11059200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 3]], 1/39813120],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1]], 4343/44236800],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 2]], 1001/764411904],
[[[1, 10], [2, 3], [3, 1], [4, 2], [8, 1]], 22157/1132462080],
[[[1, 10], [2, 3], [3, 1], [4, 2], [10, 1]], 451/1061683200],
[[[1, 10], [2, 3], [3, 1], [4, 3], [6, 1]], 4577/424673280],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 2]], 37/16588800],
[[[1, 10], [2, 3], [3, 1], [5, 1], [8, 1]], 13/737280],
[[[1, 10], [2, 3], [3, 1], [5, 1], [10, 1]], 7/1536000],
[[[1, 10], [2, 3], [3, 1], [6, 2], [8, 1]], 1/26542080],
[[[1, 10], [2, 3], [3, 1], [8, 1], [10, 1]], 1/7372800],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1]], 173/1474560],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 2]], 169/26542080],
[[[1, 10], [2, 3], [3, 2], [4, 1], [8, 1]], 15901/566231040],
[[[1, 10], [2, 3], [3, 2], [4, 1], [10, 1]], 13/4423680],
[[[1, 10], [2, 3], [3, 2], [4, 2], [6, 1]], 16483/424673280],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 1]], 523/8294400],
[[[1, 10], [2, 3], [3, 2], [6, 1], [8, 1]], 19/3317760],
[[[1, 10], [2, 3], [3, 2], [6, 1], [10, 1]], 1/2764800],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 1]], 7903/119439360],
[[[1, 10], [2, 3], [4, 1], [5, 1], [6, 2]], 7/13271040],
[[[1, 10], [2, 3], [4, 1], [5, 1], [8, 1]], 6359/471859200],
[[[1, 10], [2, 3], [4, 1], [5, 1], [10, 1]], 13/6144000],
[[[1, 10], [2, 3], [4, 1], [6, 2], [8, 1]], 43/5096079360],
[[[1, 10], [2, 3], [4, 1], [8, 1], [10, 1]], 43/1415577600],
[[[1, 10], [2, 3], [4, 1], [8, 1], [12, 1]], 1/17694720],
[[[1, 10], [2, 3], [4, 2], [5, 1], [6, 1]], 2873/353894400],
[[[1, 10], [2, 3], [4, 2], [6, 1], [8, 1]], 2113/3397386240],
[[[1, 10], [2, 3], [5, 1], [6, 1], [8, 1]], 1/2764800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1]], 43523/353894400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 2]], 59603/2548039680],
[[[1, 10], [2, 5], [3, 1], [4, 1], [8, 1]], 2028089/40768634880],
[[[1, 10], [2, 5], [3, 1], [4, 1], [10, 1]], 12221/707788800],
[[[1, 10], [2, 5], [3, 1], [4, 2], [6, 1]], 14571179/122305904640],
[[[1, 10], [2, 5], [3, 1], [5, 1], [6, 1]], 2681/53084160],
[[[1, 10], [2, 5], [3, 1], [6, 1], [8, 1]], 9509/849346560],
[[[1, 10], [2, 5], [3, 1], [6, 1], [10, 1]], 3649/1592524800],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 1]], 1837/10616832],
[[[1, 10], [2, 5], [4, 1], [5, 1], [6, 1]], 35021/1061683200],
[[[1, 10], [2, 5], [4, 1], [6, 1], [8, 1]], 130969/20384317440],
[[[1, 10], [2, 5], [4, 1], [6, 1], [10, 1]], 1099/2123366400],
[[[1, 10], [2, 7], [3, 1], [4, 1], [6, 1]], 6765287/50960793600],
[[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1]], 23/1638400],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 2]], 91/3822059520],
[[[1, 11], [2, 2], [3, 1], [4, 2], [8, 1]], 1783/1132462080],
[[[1, 11], [2, 2], [3, 1], [4, 2], [10, 1]], 19/1061683200],
[[[1, 11], [2, 2], [3, 1], [4, 3], [6, 1]], 407/1274019840],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 2]], 1/16588800],
[[[1, 11], [2, 2], [3, 1], [5, 1], [8, 1]], 7/2457600],
[[[1, 11], [2, 2], [3, 1], [5, 1], [10, 1]], 1/4608000],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1]], 29/884736],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 2]], 1/6635520],
[[[1, 11], [2, 2], [3, 2], [4, 1], [8, 1]], 661/188743680],
[[[1, 11], [2, 2], [3, 2], [4, 2], [6, 1]], 2639/1274019840],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 1]], 19/2073600],
[[[1, 11], [2, 2], [3, 2], [6, 1], [8, 1]], 1/4423680],
[[[1, 11], [2, 2], [3, 3], [4, 1], [6, 1]], 389/59719680],
[[[1, 11], [2, 2], [4, 1], [5, 1], [8, 1]], 509/471859200],
[[[1, 11], [2, 2], [4, 1], [6, 2], [8, 1]], 1/5096079360],
[[[1, 11], [2, 2], [4, 1], [8, 1], [10, 1]], 1/1415577600],
[[[1, 11], [2, 2], [4, 2], [5, 1], [6, 1]], 169/353894400],
[[[1, 11], [2, 2], [4, 2], [6, 1], [8, 1]], 43/3397386240],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1]], 45143/707788800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 2]], 4883/2548039680],
[[[1, 11], [2, 4], [3, 1], [4, 1], [8, 1]], 104857/8153726976],
[[[1, 11], [2, 4], [3, 1], [4, 1], [10, 1]], 4447/2123366400],
[[[1, 11], [2, 4], [3, 1], [4, 2], [6, 1]], 1168423/61152952320],
[[[1, 11], [2, 4], [3, 1], [5, 1], [6, 1]], 8453/530841600],
[[[1, 11], [2, 4], [3, 1], [6, 1], [8, 1]], 3649/2548039680],
[[[1, 11], [2, 4], [3, 1], [6, 1], [10, 1]], 41/318504960],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 1]], 330203/7644119040],
[[[1, 11], [2, 4], [4, 1], [5, 1], [6, 1]], 13273/2123366400],
[[[1, 11], [2, 4], [4, 1], [6, 1], [8, 1]], 8833/20384317440],
[[[1, 11], [2, 4], [4, 1], [6, 1], [10, 1]], 43/2123366400],
[[[1, 11], [2, 6], [3, 1], [4, 1], [6, 1]], 331/7077888],
[[[1, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 1/7372800],
[[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1]], 451/1061683200],
[[[1, 12], [2, 1], [3, 1], [4, 2], [8, 1]], 73/1132462080],
[[[1, 12], [2, 1], [3, 1], [4, 3], [6, 1]], 19/2548039680],
[[[1, 12], [2, 1], [3, 1], [5, 1], [8, 1]], 1/7372800],
[[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1]], 13/4423680],
[[[1, 12], [2, 1], [3, 2], [4, 1], [8, 1]], 839/5096079360],
[[[1, 12], [2, 1], [3, 2], [4, 2], [6, 1]], 19/637009920],
[[[1, 12], [2, 1], [3, 2], [5, 1], [6, 1]], 1/2764800],
[[[1, 12], [2, 1], [3, 3], [4, 1], [6, 1]], 13/119439360],
[[[1, 12], [2, 1], [4, 1], [5, 1], [8, 1]], 43/1415577600],
[[[1, 12], [2, 1], [4, 2], [6, 1], [8, 1]], 1/3397386240],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1]], 12221/707788800],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 2]], 197/2548039680],
[[[1, 12], [2, 3], [3, 1], [4, 1], [8, 1]], 2375/1358954496],
[[[1, 12], [2, 3], [3, 1], [4, 1], [10, 1]], 181/2123366400],
[[[1, 12], [2, 3], [3, 1], [4, 2], [6, 1]], 29029/20384317440],
[[[1, 12], [2, 3], [3, 1], [5, 1], [6, 1]], 3649/1592524800],
[[[1, 12], [2, 3], [3, 1], [6, 1], [8, 1]], 41/509607936],
[[[1, 12], [2, 3], [3, 1], [6, 1], [10, 1]], 1/530841600],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 1]], 8089/1528823808],
[[[1, 12], [2, 3], [4, 1], [5, 1], [6, 1]], 1099/2123366400],
[[[1, 12], [2, 3], [4, 1], [6, 1], [8, 1]], 3991/203843174400],
[[[1, 12], [2, 3], [4, 1], [6, 1], [10, 1]], 1/2123366400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [6, 1]], 215251/20384317440],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1]], 4447/2123366400],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 2]], 1/1274019840],
[[[1, 13], [2, 2], [3, 1], [4, 1], [8, 1]], 233/2264924160],
[[[1, 13], [2, 2], [3, 1], [4, 2], [6, 1]], 9451/203843174400],
[[[1, 13], [2, 2], [3, 1], [5, 1], [6, 1]], 41/318504960],
[[[1, 13], [2, 2], [3, 1], [6, 1], [8, 1]], 1/849346560],
[[[1, 13], [2, 2], [3, 2], [4, 1], [6, 1]], 385/1528823808],
[[[1, 13], [2, 2], [4, 1], [5, 1], [6, 1]], 43/2123366400],
[[[1, 13], [2, 2], [4, 1], [6, 1], [8, 1]], 91/203843174400],
[[[1, 13], [2, 4], [3, 1], [4, 1], [6, 1]], 409571/305764761600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1]], 181/2123366400],
[[[1, 14], [2, 1], [3, 1], [4, 1], [8, 1]], 551/203843174400],
[[[1, 14], [2, 1], [3, 1], [4, 2], [6, 1]], 31/203843174400],
[[[1, 14], [2, 1], [3, 1], [5, 1], [6, 1]], 1/530841600],
[[[1, 14], [2, 1], [3, 2], [4, 1], [6, 1]], 29/7644119040],
[[[1, 14], [2, 1], [4, 1], [5, 1], [6, 1]], 1/2123366400],
[[[1, 14], [2, 3], [3, 1], [4, 1], [6, 1]], 1297/15288238080],
[[[1, 15], [2, 2], [3, 1], [4, 1], [6, 1]], 77/30576476160],
[[[1, 16], [2, 1], [3, 1], [4, 1], [6, 1]], 11/305764761600],
[[[2, 1], [4, 1], [8, 2], [12, 1], [16, 1]], 1/1536],
[[[2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 1/960],
[[[2, 1], [4, 3], [8, 1], [12, 1], [24, 1]], 1/1536],
[[[2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[2, 3], [4, 2], [6, 2], [10, 1], [30, 1]], 1/960],
[[[2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 1/6144],
[[[2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1/13824],
[[[2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 1/3840],
[[[2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[2, 5], [4, 1], [8, 1], [12, 1], [24, 1]], 1/18432],
[[[2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 1/24576],
[[[2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 1/184320],
[[[2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 1/245760],
[[[2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 1/7372800],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 1/36864],
[[[1, 1], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 1/73728],
[[[1, 1], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 2], [3, 1], [4, 3], [12, 1], [20, 1]], 1/1440],
[[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 7/294912],
[[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/6144],
[[[1, 1], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 1/6635520],
[[[1, 1], [2, 2], [3, 1], [6, 1], [8, 2], [16, 1]], 1/4608],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 1], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 1/5760],
[[[1, 1], [2, 2], [4, 2], [5, 1], [8, 1], [20, 1]], 1/1600],
[[[1, 1], [2, 2], [4, 2], [6, 2], [10, 1], [30, 1]], 1/960],
[[[1, 1], [2, 2], [4, 2], [8, 1], [10, 1], [12, 2]], 1/5760],
[[[1, 1], [2, 2], [4, 2], [8, 1], [10, 1], [20, 1]], 1/1600],
[[[1, 1], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 7/6144],
[[[1, 1], [2, 2], [4, 2], [8, 1], [12, 1], [24, 1]], 1/256],
[[[1, 1], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 1/13824],
[[[1, 1], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 1/73728],
[[[1, 1], [2, 2], [4, 3], [6, 1], [8, 1], [20, 1]], 1/3840],
[[[1, 1], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 1], [2, 2], [4, 3], [6, 1], [12, 1], [20, 1]], 1/1440],
[[[1, 1], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 1], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 1], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 1/55296],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 5/36864],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 1/20736],
[[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 1/5760],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 1/36864],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 7/13824],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 1/3840],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 7/18432],
[[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 1/442368],
[[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 1/122880],
[[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 1/82944],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 7/1179648],
[[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 7/221184],
[[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [24, 1]], 1/576],
[[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 1/216],
[[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 1/160],
[[[1, 1], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 1], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 1/18432],
[[[1, 1], [2, 4], [4, 1], [8, 1], [12, 1], [24, 1]], 13/18432],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 1/13824],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 7/24576],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 1/3840],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/61440],
[[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/184320],
[[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 7/55296],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/41472],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 7/6912],
[[[1, 1], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 1/98304],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 29/1179648],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 1/73728],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/165888],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/69120],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 1/276480],
[[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/9216],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 1/442368],
[[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 1/245760],
[[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [24, 1]], 1/18432],
[[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 11/294912],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1/69120],
[[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 11/184320],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 1/36864],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 1/147456],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 1/103680],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 7/221184],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1/589824],
[[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1/69120],
[[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 1/1474560],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 19/17694720],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 1/276480],
[[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/294912],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 23/737280],
[[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 49/1474560],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1/4423680],
[[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 1/368640],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 1/17694720],
[[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1/2764800],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 7/2457600],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 1/849346560],
[[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 1/11059200],
[[[1, 2], [2, 1], [3, 1], [4, 1], [8, 2], [16, 1]], 1/6144],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 1/36864],
[[[1, 2], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 1/13824],
[[[1, 2], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 1/73728],
[[[1, 2], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 1/3840],
[[[1, 2], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 1/18432],
[[[1, 2], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 1/1440],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 7/294912],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 1/6144],
[[[1, 2], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 1/55296],
[[[1, 2], [2, 1], [3, 1], [4, 6], [6, 1], [8, 1]], 1/6635520],
[[[1, 2], [2, 1], [3, 1], [6, 1], [8, 2], [16, 1]], 1/4608],
[[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [15, 1]], 1/960],
[[[1, 2], [2, 1], [4, 2], [5, 1], [8, 1], [12, 2]], 1/5760],
[[[1, 2], [2, 1], [4, 2], [5, 1], [8, 1], [20, 1]], 1/1600],
[[[1, 2], [2, 1], [4, 2], [8, 1], [10, 1], [12, 2]], 1/5760],
[[[1, 2], [2, 1], [4, 2], [8, 1], [10, 1], [20, 1]], 1/1600],
[[[1, 2], [2, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 7/6144],
[[[1, 2], [2, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 1/256],
[[[1, 2], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/73728],
[[[1, 2], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 1/18432],
[[[1, 2], [2, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 1/1440],
[[[1, 2], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/23040],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 11/36864],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 1/8640],
[[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 35/221184],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 233/124416],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [20, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 5/10368],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 1/4096],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 1/1440],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1/20480],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 3], [3, 1], [4, 2], [10, 1], [12, 2]], 1/8640],
[[[1, 2], [2, 3], [3, 1], [4, 2], [10, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 3], [3, 1], [4, 2], [12, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 25/55296],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 199/82944],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 1/110592],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 7/18432],
[[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 11/442368],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 13/248832],
[[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 1/122880],
[[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 103/331776],
[[[1, 2], [2, 3], [3, 1], [4, 4], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 115/3538944],
[[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 47/663552],
[[[1, 2], [2, 3], [3, 1], [5, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [16, 1]], 1/6912],
[[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [24, 1]], 1/576],
[[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 1/216],
[[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 1/360],
[[[1, 2], [2, 3], [3, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 1/6912],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 5/221184],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 179/124416],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [20, 1]], 1/4320],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 1/4608],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 25/663552],
[[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 1/1024],
[[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/184320],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 5/221184],
[[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 13/248832],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 1/360],
[[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [16, 1]], 1/6912],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 7/10240],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 1/9216],
[[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 1/160],
[[[1, 2], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 7/10240],
[[[1, 2], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 7/18432],
[[[1, 2], [2, 3], [4, 1], [8, 1], [12, 1], [24, 1]], 5/3072],
[[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/20480],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [12, 2]], 1/8640],
[[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 7/13824],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1280],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 1/4608],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 2]], 1/8640],
[[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [20, 1]], 1/2400],
[[[1, 2], [2, 3], [4, 2], [6, 1], [12, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 3], [4, 3], [5, 1], [6, 2], [8, 1]], 1/184320],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 1/19200],
[[[1, 2], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 1/122880],
[[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 47/110592],
[[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 2], [2, 3], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 3], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6144],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/384],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 13/497664],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 7/6912],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 7/32768],
[[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 947/3538944],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 719/1990656],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 1/6144],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [20, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 59/331776],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 71/27648],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 11/55296],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 7/276480],
[[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/3072],
[[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 73/393216],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 13/737280],
[[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 379/995328],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [16, 1]], 5/55296],
[[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [24, 1]], 13/18432],
[[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 13/6912],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 1/13824],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 37/248832],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/384],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6912],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 19/414720],
[[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 7/13824],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/165888],
[[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 1/46080],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 119/294912],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/115200],
[[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 11/184320],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/184320],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 1/12288],
[[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 1/4096],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 3/327680],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1/5760],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 247/3981312],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1/6480],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 91/221184],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 55/589824],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 1/10240],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 11/110592],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 13/1474560],
[[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 1/147456],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 769/17694720],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1/17280],
[[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 5/98304],
[[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 17/884736],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 1/17280],
[[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1/12288],
[[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 1/2211840],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 7/884736],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 1/103680],
[[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1/36864],
[[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 1/245760],
[[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 3/51200],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 37/368640],
[[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 17/230400],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 229/1474560],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 11/442368],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 197/26542080],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 7/73728],
[[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 23/22118400],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 13/4423680],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 49/1843200],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 1/552960],
[[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 1/26542080],
[[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 1/552960],
[[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 1/7372800],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 67/1474560],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 349/2548039680],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 1/276480],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 11/36864],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [20, 1]], 1/2400],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 5/221184],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 179/124416],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [20, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 7/13824],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 1/2048],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 1/1280],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/20480],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 1], [4, 2], [10, 1], [12, 2]], 1/8640],
[[[1, 3], [2, 2], [3, 1], [4, 2], [10, 1], [20, 1]], 1/2400],
[[[1, 3], [2, 2], [3, 1], [4, 2], [12, 1], [16, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 25/55296],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 199/82944],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [20, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 1/122880],
[[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 5/221184],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 13/248832],
[[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 47/110592],
[[[1, 3], [2, 2], [3, 1], [4, 4], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 115/3538944],
[[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 47/663552],
[[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [16, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 1], [6, 2], [10, 1], [30, 1]], 1/360],
[[[1, 3], [2, 2], [3, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 1/160],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 1/6912],
[[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 35/221184],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 233/124416],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [20, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 1/4608],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 25/663552],
[[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/1024],
[[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/184320],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 11/442368],
[[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 13/248832],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/360],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [16, 1]], 1/6912],
[[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [24, 1]], 1/576],
[[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 1/216],
[[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 1/2304],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592],
[[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 7/18432],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 7/10240],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 1], [8, 1], [10, 1], [16, 1]], 7/10240],
[[[1, 3], [2, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 7/18432],
[[[1, 3], [2, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 5/3072],
[[[1, 3], [2, 2], [4, 1], [8, 2], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 1/20480],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 1/8640],
[[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [20, 1]], 1/2400],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 5/10368],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/4096],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [20, 1]], 1/1440],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1/30720],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/8640],
[[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [20, 1]], 1/2400],
[[[1, 3], [2, 2], [4, 2], [6, 1], [12, 1], [16, 1]], 1/2304],
[[[1, 3], [2, 2], [4, 3], [5, 1], [6, 2], [8, 1]], 1/184320],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 1/122880],
[[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 103/331776],
[[[1, 3], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/34560],
[[[1, 3], [2, 2], [5, 1], [6, 1], [8, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 47/110592],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 1/384],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 1/497664],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 43/49152],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 19/55296],
[[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 2167/1769472],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 1597/995328],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 5/18432],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [20, 1]], 23/34560],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 59/331776],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 71/27648],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 1/276480],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 7/46080],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 347/663552],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/46080],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 23/20736],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 43/184320],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 61/55296],
[[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/245760],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 2111/3538944],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 13/737280],
[[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1027/995328],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [16, 1]], 23/55296],
[[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [24, 1]], 5/3072],
[[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 5/1152],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 37/110592],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 1/6912],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/768],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/768],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 67/248832],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 29/6912],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 47/73728],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 19/414720],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 47/6912],
[[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 11/184320],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 3/8192],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 7/276480],
[[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 37/41472],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 5/41472],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 11/6912],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/165888],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/10240],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 1/69120],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 17/16384],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 7/18432],
[[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 11/184320],
[[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/115200],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1600],
[[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 1/3072],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/4608],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 23/18432],
[[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 1/103680],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 2101/8847360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 5/55296],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 449/1990656],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/6480],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 121/110592],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1/69120],
[[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1474560],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 95/147456],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 67/276480],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 71/110592],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 89/737280],
[[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 47/442368],
[[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 1/27648],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 7043/10616832],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 7/30720],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 1765/2654208],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/7200],
[[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 7/69120],
[[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 1/23040],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 679/2654208],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 41/103680],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 439/331776],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 13/2211840],
[[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 83/589824],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 7/41472],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 31/110592],
[[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 17/1327104],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 1/103680],
[[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 53/663552],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 23/737280],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1/3840],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 19/51200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 29/368640],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 1/27648],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 49/1474560],
[[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 53/230400],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 173/737280],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 95/442368],
[[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3200],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 1/368640],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1/57600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 2753/26542080],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 23/55296],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 11/552960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 323/22118400],
[[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 13/6635520],
[[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 1/2764800],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 1519/17694720],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 67/276480],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 41/1105920],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 1/230400],
[[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 11/221184],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 119/26542080],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 151/3317760],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 13/1658880],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 7/2457600],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1/9600],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 17/98304],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 11/2211840],
[[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 1/11059200],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 9553/2548039680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 23/442368],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1/4423680],
[[[1, 3], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/576],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 1/12288],
[[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 1/61440],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [12, 2]], 1/13824],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 7/24576],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [20, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 1/36864],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 7/13824],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [20, 1]], 1/3840],
[[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 1/122880],
[[[1, 4], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 7/55296],
[[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 7/1179648],
[[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 7/221184],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/160],
[[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 5/36864],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [12, 2]], 1/2304],
[[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/184320],
[[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1]], 1/442368],
[[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [24, 1]], 1/576],
[[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 1/216],
[[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/2304],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 1/110592],
[[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 7/18432],
[[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 1], [4, 1], [8, 1], [10, 1], [16, 1]], 1/10240],
[[[1, 4], [2, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/18432],
[[[1, 4], [2, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 13/18432],
[[[1, 4], [2, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/20736],
[[[1, 4], [2, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/5760],
[[[1, 4], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/122880],
[[[1, 4], [2, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 1/82944],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 1/15360],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 37/110592],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 17/16384],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/10240],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 7/18432],
[[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 1/69120],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 2167/1769472],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 1597/995328],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 5/18432],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [20, 1]], 23/34560],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/165888],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 7/276480],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/4608],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 3/8192],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 37/41472],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 23/18432],
[[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 13/737280],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 2111/3538944],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/245760],
[[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1027/995328],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [16, 1]], 23/55296],
[[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [24, 1]], 5/3072],
[[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 5/1152],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 47/110592],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 1/6912],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/768],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/768],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 5/41472],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 11/6912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 19/414720],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/115200],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 47/73728],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 47/6912],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 11/184320],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/46080],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 347/663552],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 1/276480],
[[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 23/20736],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 1/384],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 67/248832],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 29/6912],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 59/331776],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 71/27648],
[[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/497664],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 1/10240],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 43/49152],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 1/15360],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 19/55296],
[[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [16, 1]], 1/3840],
[[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 11/184320],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1600],
[[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/3072],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 43/184320],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 1/28800],
[[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 7/46080],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 61/55296],
[[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/6480],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 769/884736],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 1/57600],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 23/55296],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 521/1990656],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 1/103680],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 17/12288],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 17/92160],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 589/1474560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 37/76800],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 1193/884736],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 53/207360],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 299/165888],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 461/737280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 17/24576],
[[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 43/276480],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 2329/1179648],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 3/10240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 5659/2654208],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/11520],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 17/43200],
[[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 1/69120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 13/69120],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/2211840],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 1505/1327104],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 5/10368],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 617/165888],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 29/368640],
[[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 7/82944],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1/10368],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 1643/1769472],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 91/276480],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 251/165888],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 11/43200],
[[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 7/69120],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 415/3981312],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 1/6480],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 497/663552],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 37/368640],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1/3840],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 33/25600],
[[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 7/46080],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 13/2211840],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 161/294912],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 49/76800],
[[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 377/737280],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 173/221184],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1200],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 7/73728],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 23/22118400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 7/38400],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 1573/2949120],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 101/184320],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 37/184320],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 389/4423680],
[[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 193/6635520],
[[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 21/204800],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 513/655360],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 2321/3317760],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 1153/3317760],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 31/138240],
[[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 77/552960],
[[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 1/552960],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 3883/26542080],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 889/3317760],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 193/1658880],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 67/1474560],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 23/38400],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 181/884736],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 37/737280],
[[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 1/276480],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 9409/169869312],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 2681/11059200],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 1/163840],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 1/13824],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 119/294912],
[[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 1/9216],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 947/3538944],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 719/1990656],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 1/6144],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [20, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 1/46080],
[[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 1/12288],
[[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/165888],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/184320],
[[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 1/4096],
[[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 13/737280],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 73/393216],
[[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 379/995328],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [16, 1]], 5/55296],
[[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [24, 1]], 13/18432],
[[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 13/6912],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6144],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 19/414720],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 11/184320],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/115200],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/6912],
[[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 7/13824],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 7/276480],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 11/55296],
[[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 1/3072],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/384],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 37/248832],
[[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 1/384],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 59/331776],
[[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 71/27648],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 13/497664],
[[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 7/6912],
[[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/38400],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 7/32768],
[[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 1/13824],
[[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 1/6480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1/57600],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 769/884736],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 23/55296],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 415/3981312],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 497/663552],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 91/276480],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 377/737280],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 49/76800],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 1643/1769472],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/10368],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 251/165888],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 161/294912],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 173/221184],
[[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 3/10240],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 2329/1179648],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 43/276480],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 5659/2654208],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 7/69120],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 11/43200],
[[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/1200],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 5/10368],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 13/2211840],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/3840],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1505/1327104],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 13/69120],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 617/165888],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 37/368640],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 53/207360],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 1193/884736],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 17/92160],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 299/165888],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 1/69120],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 17/43200],
[[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 1/103680],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 521/1990656],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/6480],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 17/12288],
[[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 29/368640],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 33/25600],
[[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 7/46080],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2211840],
[[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 7/82944],
[[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 7/46080],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 461/737280],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 37/76800],
[[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 589/1474560],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 17/24576],
[[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 163/276480],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 3683/22118400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 31/38400],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 5393/5308416],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 293/663552],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 97/165888],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 1577/4423680],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 77/663552],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 71/138240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 41033/17694720],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 2969/3317760],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 2093/1658880],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 103/1105920],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 307/345600],
[[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 101/552960],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 727/3317760],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 3827/5308416],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 133/184320],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 85/165888],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 479/1474560],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 131/115200],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1061/4423680],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 89/663552],
[[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 187/2211840],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 29497/84934656],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 3497/6635520],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 79/1474560],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 1/30720],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 1/38400],
[[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 11/294912],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 29/1179648],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [12, 2]], 1/73728],
[[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 1/36864],
[[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/245760],
[[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1]], 1/442368],
[[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [24, 1]], 1/18432],
[[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/6912],
[[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 11/184320],
[[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 1/276480],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/9216],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/69120],
[[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 1/165888],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 1/41472],
[[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 7/6912],
[[[1, 6], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/98304],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 1/103680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/5760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 2101/8847360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 5/55296],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 17/1327104],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 53/663552],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 7/41472],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 173/737280],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 53/230400],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 83/589824],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 31/110592],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 49/1474560],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 95/442368],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 7/30720],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 7043/10616832],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1765/2654208],
[[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/3200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 41/103680],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 29/368640],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 679/2654208],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 1/23040],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 439/331776],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 23/737280],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 67/276480],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 95/147456],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/69120],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 71/110592],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 7/69120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/7200],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1/6480],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 449/1990656],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 1/103680],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 121/110592],
[[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 13/2211840],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 19/51200],
[[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/82944],
[[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 1/46080],
[[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 89/737280],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1474560],
[[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 47/442368],
[[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 133/184320],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1061/4423680],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 131/115200],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 3827/5308416],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 727/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 85/165888],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 479/1474560],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 89/663552],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 2969/3317760],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 41033/17694720],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 71/138240],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 2093/1658880],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 101/552960],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 307/345600],
[[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 103/1105920],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 293/663552],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 5393/5308416],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 163/276480],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 97/165888],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1577/4423680],
[[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 31/38400],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 3683/22118400],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 77/663552],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 4721/11059200],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 394147/424673280],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 901/1327104],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 791/4423680],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/5760],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 3/327680],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 1/103680],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 229/1474560],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 17/230400],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 7/884736],
[[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/36864],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 11/442368],
[[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/17280],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 769/17694720],
[[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 5/98304],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 1/17280],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 37/368640],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 17/884736],
[[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/12288],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 1/245760],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1/10240],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 55/589824],
[[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 11/110592],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/6480],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 247/3981312],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 91/221184],
[[[1, 7], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2211840],
[[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 3/51200],
[[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 13/1474560],
[[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/147456],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 889/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 181/884736],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 23/38400],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 3883/26542080],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/552960],
[[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 193/1658880],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 67/1474560],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 37/737280],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 2321/3317760],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 513/655360],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 21/204800],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 1153/3317760],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 77/552960],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 31/138240],
[[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 101/184320],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 1573/2949120],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 7/73728],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 37/184320],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 389/4423680],
[[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 7/38400],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 23/22118400],
[[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 193/6635520],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 901/1327104],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 394147/424673280],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 4721/11059200],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 791/4423680],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 1/57600],
[[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 49/1474560],
[[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 1/276480],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 19/17694720],
[[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/294912],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 23/737280],
[[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/69120],
[[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 1/589824],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 1/103680],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 1/147456],
[[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 7/221184],
[[[1, 8], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1474560],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 151/3317760],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 17/98304],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 1/9600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 119/26542080],
[[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 13/1658880],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 7/2457600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 11/2211840],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 67/276480],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1519/17694720],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/2764800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 41/1105920],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 11/221184],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/230400],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 23/55296],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 2753/26542080],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 1/368640],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 11/552960],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 323/22118400],
[[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 13/6635520],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 3497/6635520],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 29497/84934656],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 187/2211840],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 79/1474560],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 1/552960],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 67/1474560],
[[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 1/26542080],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 1/7372800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 49/1843200],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 13/4423680],
[[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/552960],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 7/73728],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 197/26542080],
[[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 23/22118400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 2681/11059200],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 9409/169869312],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 1/276480],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1/163840],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 7/2457600],
[[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/2764800],
[[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 1/17694720],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 1/368640],
[[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 1/4423680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 23/442368],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 9553/2548039680],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 1/11059200],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/4423680],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 1/276480],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 349/2548039680],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/11059200],
[[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/849346560],
[[[2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/576],
[[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 19/10368],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/2880],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 1/1536],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/576],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 13/165888],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/2304],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/576],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/11520],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/46080],
[[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/73728],
[[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/368640],
[[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/576],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 19/10368],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/2880],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 1/1536],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/576],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 1/2304],
[[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 13/165888],
[[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 1/256],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 31/27648],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/96],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/384],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/384],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 5/6912],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/30720],
[[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 83/55296],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/960],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 13/27648],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 13/27648],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 7/69120],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/2304],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/15360],
[[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 29/92160],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 161/221184],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/69120],
[[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/3456],
[[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3200],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 79/1105920],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/368640],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2048],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 1/256],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3840],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 31/27648],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/96],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/384],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 1/384],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 83/55296],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 5/6912],
[[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/960],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/3840],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5/4608],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5/4608],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 13/69120],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 29/20736],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/19200],
[[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1280],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 53/92160],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 311/110592],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5760],
[[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 19/69120],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 13/10368],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/3200],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/40960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 17/57600],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 209/552960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1199/3317760],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/6144],
[[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 1/3072],
[[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/30720],
[[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/9216],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 1/864],
[[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 19/69120],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3200],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5/4608],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5/4608],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 13/10368],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 53/92160],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/19200],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1280],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 311/110592],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 13/69120],
[[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 29/20736],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 107/221184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1280],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 85/110592],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 389/331776],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/69120],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/3200],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 13/27648],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 13/27648],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 29/92160],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/15360],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 161/221184],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7/69120],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 85/110592],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1280],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 107/221184],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 389/331776],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/27648],
[[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/46080],
[[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 7/73728],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 209/552960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 17/57600],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/40960],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1199/3317760],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 79/1105920],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 11/368640],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/368640],
[[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/960],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/960]
]}