{[
[[[1, 25]], 1/4719479095296000],
[[[2, 25]], 1/4719479095296000],
[[[1, 1], [2, 24]], 31/1573159698432000],
[[[1, 2], [2, 23]], 41/52438656614400],
[[[1, 3], [2, 22]], 1171/67421129932800],
[[[1, 4], [2, 21]], 53639/224737099776000],
[[[1, 5], [2, 20]], 3241/1528823808000],
[[[1, 6], [2, 19]], 139031/11236854988800],
[[[1, 7], [2, 18]], 25367/535088332800],
[[[1, 7], [7, 3]], 1/5488],
[[[1, 8], [2, 17]], 1760789/14982473318400],
[[[1, 9], [2, 16]], 2748001/14982473318400],
[[[1, 10], [2, 15]], 16151/92484403200],
[[[1, 11], [2, 14]], 12269/118908518400],
[[[1, 11], [3, 7]], 1/1679616],
[[[1, 12], [2, 13]], 247/4756340736],
[[[1, 13], [2, 12]], 247/4756340736],
[[[1, 13], [3, 6]], 17/16796160],
[[[1, 13], [5, 3]], 1/864000],
[[[1, 13], [7, 2]], 1/14224896],
[[[1, 14], [2, 11]], 12269/118908518400],
[[[1, 15], [2, 10]], 16151/92484403200],
[[[1, 15], [3, 5]], 361/1567641600],
[[[1, 16], [2, 9]], 2748001/14982473318400],
[[[1, 17], [2, 8]], 1760789/14982473318400],
[[[1, 17], [3, 4]], 373/18811699200],
[[[1, 17], [5, 2]], 11/5225472000],
[[[1, 18], [2, 7]], 25367/535088332800],
[[[1, 19], [2, 6]], 139031/11236854988800],
[[[1, 19], [3, 3]], 7789/10534551552000],
[[[1, 19], [7, 1]], 13/1638708019200],
[[[1, 20], [2, 5]], 3241/1528823808000],
[[[1, 21], [2, 4]], 53639/224737099776000],
[[[1, 21], [3, 2]], 83/7023034368000],
[[[1, 21], [5, 1]], 17/14046068736000],
[[[1, 22], [2, 3]], 1171/67421129932800],
[[[1, 23], [2, 2]], 41/52438656614400],
[[[1, 23], [3, 1]], 1/12039487488000],
[[[1, 24], [2, 1]], 31/1573159698432000],
[[[2, 7], [14, 3]], 1/5488],
[[[2, 11], [6, 7]], 1/1679616],
[[[2, 13], [6, 6]], 17/16796160],
[[[2, 13], [10, 3]], 1/864000],
[[[2, 13], [14, 2]], 1/14224896],
[[[2, 15], [6, 5]], 361/1567641600],
[[[2, 17], [6, 4]], 373/18811699200],
[[[2, 17], [10, 2]], 11/5225472000],
[[[2, 19], [6, 3]], 7789/10534551552000],
[[[2, 19], [14, 1]], 13/1638708019200],
[[[2, 21], [6, 2]], 83/7023034368000],
[[[2, 21], [10, 1]], 17/14046068736000],
[[[2, 23], [6, 1]], 1/12039487488000],
[[[1, 1], [2, 6], [14, 3]], 1/2744],
[[[1, 1], [2, 10], [6, 7]], 1/559872],
[[[1, 1], [2, 12], [6, 6]], 19/2799360],
[[[1, 1], [2, 12], [10, 3]], 13/864000],
[[[1, 1], [2, 12], [14, 2]], 307/142248960],
[[[1, 1], [2, 14], [6, 5]], 317/87091200],
[[[1, 1], [2, 16], [6, 4]], 3277/6270566400],
[[[1, 1], [2, 16], [10, 2]], 107/1306368000],
[[[1, 1], [2, 18], [6, 3]], 101623/3511517184000],
[[[1, 1], [2, 18], [14, 1]], 391/819354009600],
[[[1, 1], [2, 20], [6, 2]], 1/1524096000],
[[[1, 1], [2, 20], [10, 1]], 1111/14046068736000],
[[[1, 1], [2, 22], [4, 1]], 19/56184274944000],
[[[1, 1], [2, 22], [6, 1]], 43/7023034368000],
[[[1, 2], [2, 5], [14, 3]], 1/5488],
[[[1, 2], [2, 9], [6, 7]], 1/559872],
[[[1, 2], [2, 11], [6, 6]], 7/466560],
[[[1, 2], [2, 11], [10, 3]], 1/14400],
[[[1, 2], [2, 11], [14, 2]], 313/15805440],
[[[1, 2], [2, 13], [6, 5]], 1901/104509440],
[[[1, 2], [2, 15], [6, 4]], 31291/6270566400],
[[[1, 2], [2, 15], [10, 2]], 199/174182400],
[[[1, 2], [2, 17], [6, 3]], 3673/8360755200],
[[[1, 2], [2, 17], [14, 1]], 18493/1638708019200],
[[[1, 2], [2, 19], [4, 2]], 131/749123665920],
[[[1, 2], [2, 19], [6, 2]], 34187/2341011456000],
[[[1, 2], [2, 19], [10, 1]], 5857/2809213747200],
[[[1, 2], [2, 21], [4, 1]], 1313/56184274944000],
[[[1, 2], [2, 21], [6, 1]], 263/1404606873600],
[[[1, 3], [2, 8], [6, 7]], 1/1679616],
[[[1, 3], [2, 10], [6, 6]], 23/1679616],
[[[1, 3], [2, 10], [10, 3]], 1/7200],
[[[1, 3], [2, 10], [14, 2]], 5/75264],
[[[1, 3], [2, 12], [6, 5]], 433/11197440],
[[[1, 3], [2, 14], [6, 4]], 11657/537477120],
[[[1, 3], [2, 14], [10, 2]], 73/9676800],
[[[1, 3], [2, 16], [4, 3]], 689/22295347200],
[[[1, 3], [2, 16], [6, 3]], 35663/10749542400],
[[[1, 3], [2, 16], [14, 1]], 439/3251404800],
[[[1, 3], [2, 18], [4, 2]], 10061/1248539443200],
[[[1, 3], [2, 18], [6, 2]], 18649/109734912000],
[[[1, 3], [2, 18], [10, 1]], 27001/936404582400],
[[[1, 3], [2, 20], [4, 1]], 1061/1605264998400],
[[[1, 3], [2, 20], [6, 1]], 32729/10534551552000],
[[[1, 4], [2, 9], [6, 6]], 5/1119744],
[[[1, 4], [2, 9], [10, 3]], 11/96000],
[[[1, 4], [2, 9], [14, 2]], 5/56448],
[[[1, 4], [2, 11], [6, 5]], 37/995328],
[[[1, 4], [2, 13], [4, 4]], 5357/8918138880],
[[[1, 4], [2, 13], [6, 4]], 3883/83607552],
[[[1, 4], [2, 13], [10, 2]], 3739/145152000],
[[[1, 4], [2, 15], [4, 3]], 16631/22295347200],
[[[1, 4], [2, 15], [6, 3]], 671819/50164531200],
[[[1, 4], [2, 15], [14, 1]], 34541/39016857600],
[[[1, 4], [2, 17], [4, 2]], 26689/187280916480],
[[[1, 4], [2, 17], [6, 2]], 839/743178240],
[[[1, 4], [2, 17], [10, 1]], 76729/334430208000],
[[[1, 4], [2, 19], [4, 1]], 187027/18728091648000],
[[[1, 4], [2, 19], [6, 1]], 41177/1337720832000],
[[[1, 5], [2, 2], [7, 3]], 1/5488],
[[[1, 5], [2, 8], [10, 3]], 1/32000],
[[[1, 5], [2, 8], [14, 2]], 1/21504],
[[[1, 5], [2, 10], [4, 5]], 41/11796480],
[[[1, 5], [2, 10], [6, 5]], 7/497664],
[[[1, 5], [2, 12], [4, 4]], 76817/8918138880],
[[[1, 5], [2, 12], [6, 4]], 2923/59719680],
[[[1, 5], [2, 12], [10, 2]], 317/6912000],
[[[1, 5], [2, 14], [4, 3]], 152207/22295347200],
[[[1, 5], [2, 14], [6, 3]], 14059/477757440],
[[[1, 5], [2, 14], [14, 1]], 1807/557383680],
[[[1, 5], [2, 16], [4, 2]], 56569/44590694400],
[[[1, 5], [2, 16], [6, 2]], 613/139345920],
[[[1, 5], [2, 16], [10, 1]], 363287/334430208000],
[[[1, 5], [2, 18], [4, 1]], 165929/1872809164800],
[[[1, 5], [2, 18], [6, 1]], 253/1337720832],
[[[1, 6], [2, 1], [7, 3]], 1/2744],
[[[1, 6], [2, 7], [4, 6]], 11/393216],
[[[1, 6], [2, 7], [14, 2]], 1/150528],
[[[1, 6], [2, 9], [4, 5]], 331/11796480],
[[[1, 6], [2, 9], [6, 5]], 7/8957952],
[[[1, 6], [2, 11], [4, 4]], 21547/495452160],
[[[1, 6], [2, 11], [6, 4]], 811/35831808],
[[[1, 6], [2, 11], [10, 2]], 37/921600],
[[[1, 6], [2, 13], [4, 3]], 18967/637009920],
[[[1, 6], [2, 13], [6, 3]], 24629/716636160],
[[[1, 6], [2, 13], [14, 1]], 5693/867041280],
[[[1, 6], [2, 15], [4, 2]], 552197/89181388800],
[[[1, 6], [2, 15], [6, 2]], 201211/20065812480],
[[[1, 6], [2, 15], [10, 1]], 68407/22295347200],
[[[1, 6], [2, 17], [4, 1]], 127997/267544166400],
[[[1, 6], [2, 17], [6, 1]], 18227/25082265600],
[[[1, 7], [2, 6], [4, 6]], 11/393216],
[[[1, 7], [2, 6], [7, 2]], 1/150528],
[[[1, 7], [2, 8], [4, 5]], 11/73728],
[[[1, 7], [2, 10], [4, 4]], 7241/70778880],
[[[1, 7], [2, 10], [6, 4]], 35/11943936],
[[[1, 7], [2, 10], [10, 2]], 7/460800],
[[[1, 7], [2, 12], [4, 3]], 10957/165150720],
[[[1, 7], [2, 12], [6, 3]], 931/47775744],
[[[1, 7], [2, 12], [14, 1]], 73/10321920],
[[[1, 7], [2, 14], [4, 2]], 20119/1189085184],
[[[1, 7], [2, 14], [6, 2]], 113/8709120],
[[[1, 7], [2, 14], [10, 1]], 37543/7431782400],
[[[1, 7], [2, 16], [4, 1]], 60409/38220595200],
[[[1, 7], [2, 16], [6, 1]], 14437/8360755200],
[[[1, 7], [3, 3], [5, 3]], 1/27000],
[[[1, 7], [3, 3], [7, 2]], 1/63504],
[[[1, 7], [3, 5], [5, 2]], 1/291600],
[[[1, 8], [2, 3], [3, 7]], 1/1679616],
[[[1, 8], [2, 5], [5, 3]], 1/32000],
[[[1, 8], [2, 5], [7, 2]], 1/21504],
[[[1, 8], [2, 7], [4, 5]], 11/73728],
[[[1, 8], [2, 9], [4, 4]], 3049/14155776],
[[[1, 8], [2, 9], [10, 2]], 1/614400],
[[[1, 8], [2, 11], [4, 3]], 6191/70778880],
[[[1, 8], [2, 11], [6, 3]], 28163/6688604160],
[[[1, 8], [2, 11], [14, 1]], 6929/1734082560],
[[[1, 8], [2, 13], [4, 2]], 129421/4954521600],
[[[1, 8], [2, 13], [6, 2]], 39713/4459069440],
[[[1, 8], [2, 13], [10, 1]], 2749/594542592],
[[[1, 8], [2, 15], [4, 1]], 120439/38220595200],
[[[1, 8], [2, 15], [6, 1]], 31379/12740198400],
[[[1, 9], [2, 2], [3, 7]], 1/559872],
[[[1, 9], [2, 4], [3, 6]], 5/1119744],
[[[1, 9], [2, 4], [5, 3]], 11/96000],
[[[1, 9], [2, 4], [7, 2]], 5/56448],
[[[1, 9], [2, 6], [3, 5]], 7/8957952],
[[[1, 9], [2, 6], [4, 5]], 331/11796480],
[[[1, 9], [2, 8], [4, 4]], 3049/14155776],
[[[1, 9], [2, 8], [5, 2]], 1/614400],
[[[1, 9], [2, 10], [4, 3]], 1931/17694720],
[[[1, 9], [2, 10], [6, 3]], 1003/6688604160],
[[[1, 9], [2, 10], [7, 1]], 163/578027520],
[[[1, 9], [2, 10], [14, 1]], 373/289013760],
[[[1, 9], [2, 12], [4, 2]], 649/26214400],
[[[1, 9], [2, 12], [6, 2]], 401/139345920],
[[[1, 9], [2, 12], [10, 1]], 541/235929600],
[[[1, 9], [2, 14], [4, 1]], 221887/59454259200],
[[[1, 9], [2, 14], [6, 1]], 44857/22295347200],
[[[1, 9], [3, 2], [5, 3]], 1/24000],
[[[1, 9], [3, 2], [7, 2]], 1/10584],
[[[1, 9], [3, 4], [5, 2]], 23/583200],
[[[1, 9], [3, 5], [7, 1]], 1/163296],
[[[1, 9], [3, 5], [9, 1]], 1/93312],
[[[1, 9], [3, 6], [5, 1]], 1/349920],
[[[1, 9], [5, 1], [7, 2]], 1/9408],
[[[1, 10], [2, 1], [3, 7]], 1/559872],
[[[1, 10], [2, 3], [3, 6]], 23/1679616],
[[[1, 10], [2, 3], [5, 3]], 1/7200],
[[[1, 10], [2, 3], [7, 2]], 5/75264],
[[[1, 10], [2, 5], [3, 5]], 7/497664],
[[[1, 10], [2, 5], [4, 5]], 41/11796480],
[[[1, 10], [2, 7], [3, 4]], 35/11943936],
[[[1, 10], [2, 7], [4, 4]], 7241/70778880],
[[[1, 10], [2, 7], [5, 2]], 7/460800],
[[[1, 10], [2, 9], [3, 3]], 1003/6688604160],
[[[1, 10], [2, 9], [4, 3]], 1931/17694720],
[[[1, 10], [2, 9], [7, 1]], 373/289013760],
[[[1, 10], [2, 9], [14, 1]], 163/578027520],
[[[1, 10], [2, 11], [4, 2]], 8551/396361728],
[[[1, 10], [2, 11], [5, 1]], 163/1651507200],
[[[1, 10], [2, 11], [6, 2]], 19/55050240],
[[[1, 10], [2, 11], [10, 1]], 1049/1651507200],
[[[1, 10], [2, 13], [4, 1]], 32657/11890851840],
[[[1, 10], [2, 13], [6, 1]], 451/495452160],
[[[1, 11], [2, 2], [3, 6]], 7/466560],
[[[1, 11], [2, 2], [5, 3]], 1/14400],
[[[1, 11], [2, 2], [7, 2]], 313/15805440],
[[[1, 11], [2, 4], [3, 5]], 37/995328],
[[[1, 11], [2, 6], [3, 4]], 811/35831808],
[[[1, 11], [2, 6], [4, 4]], 21547/495452160],
[[[1, 11], [2, 6], [5, 2]], 37/921600],
[[[1, 11], [2, 8], [3, 3]], 28163/6688604160],
[[[1, 11], [2, 8], [4, 3]], 6191/70778880],
[[[1, 11], [2, 8], [7, 1]], 6929/1734082560],
[[[1, 11], [2, 10], [3, 2]], 19/55050240],
[[[1, 11], [2, 10], [4, 2]], 8551/396361728],
[[[1, 11], [2, 10], [5, 1]], 1049/1651507200],
[[[1, 11], [2, 10], [10, 1]], 163/1651507200],
[[[1, 11], [2, 12], [3, 1]], 163/5945425920],
[[[1, 11], [2, 12], [4, 1]], 2659/1486356480],
[[[1, 11], [2, 12], [6, 1]], 169/743178240],
[[[1, 11], [3, 1], [5, 3]], 1/72000],
[[[1, 11], [3, 1], [7, 2]], 1/120960],
[[[1, 11], [3, 3], [5, 2]], 167/5832000],
[[[1, 11], [3, 4], [7, 1]], 109/6531840],
[[[1, 11], [3, 4], [9, 1]], 1/466560],
[[[1, 11], [3, 5], [5, 1]], 29/2332800],
[[[1, 11], [5, 2], [7, 1]], 1/50400],
[[[1, 12], [2, 1], [3, 6]], 19/2799360],
[[[1, 12], [2, 1], [5, 3]], 13/864000],
[[[1, 12], [2, 1], [7, 2]], 307/142248960],
[[[1, 12], [2, 3], [3, 5]], 433/11197440],
[[[1, 12], [2, 5], [3, 4]], 2923/59719680],
[[[1, 12], [2, 5], [4, 4]], 76817/8918138880],
[[[1, 12], [2, 5], [5, 2]], 317/6912000],
[[[1, 12], [2, 7], [3, 3]], 931/47775744],
[[[1, 12], [2, 7], [4, 3]], 10957/165150720],
[[[1, 12], [2, 7], [7, 1]], 73/10321920],
[[[1, 12], [2, 9], [3, 2]], 401/139345920],
[[[1, 12], [2, 9], [4, 2]], 649/26214400],
[[[1, 12], [2, 9], [5, 1]], 541/235929600],
[[[1, 12], [2, 11], [3, 1]], 169/743178240],
[[[1, 12], [2, 11], [4, 1]], 2659/1486356480],
[[[1, 12], [2, 11], [6, 1]], 163/5945425920],
[[[1, 13], [2, 2], [3, 5]], 1901/104509440],
[[[1, 13], [2, 4], [3, 4]], 3883/83607552],
[[[1, 13], [2, 4], [4, 4]], 5357/8918138880],
[[[1, 13], [2, 4], [5, 2]], 3739/145152000],
[[[1, 13], [2, 6], [3, 3]], 24629/716636160],
[[[1, 13], [2, 6], [4, 3]], 18967/637009920],
[[[1, 13], [2, 6], [7, 1]], 5693/867041280],
[[[1, 13], [2, 8], [3, 2]], 39713/4459069440],
[[[1, 13], [2, 8], [4, 2]], 129421/4954521600],
[[[1, 13], [2, 8], [5, 1]], 2749/594542592],
[[[1, 13], [2, 10], [3, 1]], 451/495452160],
[[[1, 13], [2, 10], [4, 1]], 32657/11890851840],
[[[1, 13], [3, 2], [5, 2]], 3547/653184000],
[[[1, 13], [3, 3], [7, 1]], 101/36578304],
[[[1, 13], [3, 3], [9, 1]], 11/87091200],
[[[1, 13], [3, 4], [5, 1]], 41/8164800],
[[[1, 14], [2, 1], [3, 5]], 317/87091200],
[[[1, 14], [2, 3], [3, 4]], 11657/537477120],
[[[1, 14], [2, 3], [5, 2]], 73/9676800],
[[[1, 14], [2, 5], [3, 3]], 14059/477757440],
[[[1, 14], [2, 5], [4, 3]], 152207/22295347200],
[[[1, 14], [2, 5], [7, 1]], 1807/557383680],
[[[1, 14], [2, 7], [3, 2]], 113/8709120],
[[[1, 14], [2, 7], [4, 2]], 20119/1189085184],
[[[1, 14], [2, 7], [5, 1]], 37543/7431782400],
[[[1, 14], [2, 9], [3, 1]], 44857/22295347200],
[[[1, 14], [2, 9], [4, 1]], 221887/59454259200],
[[[1, 15], [2, 2], [3, 4]], 31291/6270566400],
[[[1, 15], [2, 2], [5, 2]], 199/174182400],
[[[1, 15], [2, 4], [3, 3]], 671819/50164531200],
[[[1, 15], [2, 4], [4, 3]], 16631/22295347200],
[[[1, 15], [2, 4], [7, 1]], 34541/39016857600],
[[[1, 15], [2, 6], [3, 2]], 201211/20065812480],
[[[1, 15], [2, 6], [4, 2]], 552197/89181388800],
[[[1, 15], [2, 6], [5, 1]], 68407/22295347200],
[[[1, 15], [2, 8], [3, 1]], 31379/12740198400],
[[[1, 15], [2, 8], [4, 1]], 120439/38220595200],
[[[1, 15], [3, 1], [5, 2]], 103/373248000],
[[[1, 15], [3, 2], [7, 1]], 101/731566080],
[[[1, 15], [3, 2], [9, 1]], 1/522547200],
[[[1, 15], [3, 3], [5, 1]], 41/69984000],
[[[1, 15], [5, 1], [7, 1]], 31/1219276800],
[[[1, 16], [2, 1], [3, 4]], 3277/6270566400],
[[[1, 16], [2, 1], [5, 2]], 107/1306368000],
[[[1, 16], [2, 3], [3, 3]], 35663/10749542400],
[[[1, 16], [2, 3], [4, 3]], 689/22295347200],
[[[1, 16], [2, 3], [7, 1]], 439/3251404800],
[[[1, 16], [2, 5], [3, 2]], 613/139345920],
[[[1, 16], [2, 5], [4, 2]], 56569/44590694400],
[[[1, 16], [2, 5], [5, 1]], 363287/334430208000],
[[[1, 16], [2, 7], [3, 1]], 14437/8360755200],
[[[1, 16], [2, 7], [4, 1]], 60409/38220595200],
[[[1, 17], [2, 2], [3, 3]], 3673/8360755200],
[[[1, 17], [2, 2], [7, 1]], 18493/1638708019200],
[[[1, 17], [2, 4], [3, 2]], 839/743178240],
[[[1, 17], [2, 4], [4, 2]], 26689/187280916480],
[[[1, 17], [2, 4], [5, 1]], 76729/334430208000],
[[[1, 17], [2, 6], [3, 1]], 18227/25082265600],
[[[1, 17], [2, 6], [4, 1]], 127997/267544166400],
[[[1, 17], [3, 1], [7, 1]], 1/522547200],
[[[1, 17], [3, 1], [9, 1]], 1/117050572800],
[[[1, 17], [3, 2], [5, 1]], 253/10450944000],
[[[1, 18], [2, 1], [3, 3]], 101623/3511517184000],
[[[1, 18], [2, 1], [7, 1]], 391/819354009600],
[[[1, 18], [2, 3], [3, 2]], 18649/109734912000],
[[[1, 18], [2, 3], [4, 2]], 10061/1248539443200],
[[[1, 18], [2, 3], [5, 1]], 27001/936404582400],
[[[1, 18], [2, 5], [3, 1]], 253/1337720832],
[[[1, 18], [2, 5], [4, 1]], 165929/1872809164800],
[[[1, 19], [2, 2], [3, 2]], 34187/2341011456000],
[[[1, 19], [2, 2], [4, 2]], 131/749123665920],
[[[1, 19], [2, 2], [5, 1]], 5857/2809213747200],
[[[1, 19], [2, 4], [3, 1]], 41177/1337720832000],
[[[1, 19], [2, 4], [4, 1]], 187027/18728091648000],
[[[1, 19], [3, 1], [5, 1]], 181/585252864000],
[[[1, 20], [2, 1], [3, 2]], 1/1524096000],
[[[1, 20], [2, 1], [5, 1]], 1111/14046068736000],
[[[1, 20], [2, 3], [3, 1]], 32729/10534551552000],
[[[1, 20], [2, 3], [4, 1]], 1061/1605264998400],
[[[1, 21], [2, 2], [3, 1]], 263/1404606873600],
[[[1, 21], [2, 2], [4, 1]], 1313/56184274944000],
[[[1, 22], [2, 1], [3, 1]], 43/7023034368000],
[[[1, 22], [2, 1], [4, 1]], 19/56184274944000],
[[[2, 7], [6, 3], [10, 3]], 1/27000],
[[[2, 7], [6, 3], [14, 2]], 1/63504],
[[[2, 7], [6, 5], [10, 2]], 1/291600],
[[[2, 9], [6, 2], [10, 3]], 1/24000],
[[[2, 9], [6, 2], [14, 2]], 1/10584],
[[[2, 9], [6, 4], [10, 2]], 23/583200],
[[[2, 9], [6, 5], [14, 1]], 1/163296],
[[[2, 9], [6, 5], [18, 1]], 1/93312],
[[[2, 9], [6, 6], [10, 1]], 1/349920],
[[[2, 9], [10, 1], [14, 2]], 1/9408],
[[[2, 11], [6, 1], [10, 3]], 1/72000],
[[[2, 11], [6, 1], [14, 2]], 1/120960],
[[[2, 11], [6, 3], [10, 2]], 167/5832000],
[[[2, 11], [6, 4], [14, 1]], 109/6531840],
[[[2, 11], [6, 4], [18, 1]], 1/466560],
[[[2, 11], [6, 5], [10, 1]], 29/2332800],
[[[2, 11], [10, 2], [14, 1]], 1/50400],
[[[2, 13], [6, 2], [10, 2]], 3547/653184000],
[[[2, 13], [6, 3], [14, 1]], 101/36578304],
[[[2, 13], [6, 3], [18, 1]], 11/87091200],
[[[2, 13], [6, 4], [10, 1]], 41/8164800],
[[[2, 15], [6, 1], [10, 2]], 103/373248000],
[[[2, 15], [6, 2], [14, 1]], 101/731566080],
[[[2, 15], [6, 2], [18, 1]], 1/522547200],
[[[2, 15], [6, 3], [10, 1]], 41/69984000],
[[[2, 15], [10, 1], [14, 1]], 31/1219276800],
[[[2, 17], [6, 1], [14, 1]], 1/522547200],
[[[2, 17], [6, 1], [18, 1]], 1/117050572800],
[[[2, 17], [6, 2], [10, 1]], 253/10450944000],
[[[2, 19], [6, 1], [10, 1]], 181/585252864000],
[[[1, 1], [2, 6], [6, 3], [10, 3]], 1/27000],
[[[1, 1], [2, 6], [6, 3], [14, 2]], 1/63504],
[[[1, 1], [2, 6], [6, 5], [10, 2]], 1/291600],
[[[1, 1], [2, 8], [6, 2], [10, 3]], 13/72000],
[[[1, 1], [2, 8], [6, 2], [14, 2]], 13/42336],
[[[1, 1], [2, 8], [6, 4], [10, 2]], 7/72900],
[[[1, 1], [2, 8], [6, 5], [14, 1]], 1/81648],
[[[1, 1], [2, 8], [6, 5], [18, 1]], 1/31104],
[[[1, 1], [2, 8], [6, 6], [10, 1]], 1/174960],
[[[1, 1], [2, 8], [10, 1], [14, 2]], 9/15680],
[[[1, 1], [2, 10], [3, 1], [6, 6]], 5/559872],
[[[1, 1], [2, 10], [4, 1], [6, 6]], 1/279936],
[[[1, 1], [2, 10], [4, 1], [10, 3]], 1/144000],
[[[1, 1], [2, 10], [4, 1], [14, 2]], 1/31360],
[[[1, 1], [2, 10], [6, 1], [10, 3]], 1/9000],
[[[1, 1], [2, 10], [6, 1], [14, 2]], 11/105840],
[[[1, 1], [2, 10], [6, 3], [10, 2]], 1097/5832000],
[[[1, 1], [2, 10], [6, 4], [14, 1]], 131/1632960],
[[[1, 1], [2, 10], [6, 4], [18, 1]], 1/38880],
[[[1, 1], [2, 10], [6, 5], [10, 1]], 119/2332800],
[[[1, 1], [2, 10], [10, 2], [14, 1]], 1/5600],
[[[1, 1], [2, 12], [3, 1], [6, 5]], 53/5598720],
[[[1, 1], [2, 12], [4, 1], [6, 5]], 19/1866240],
[[[1, 1], [2, 12], [6, 2], [10, 2]], 44407/653184000],
[[[1, 1], [2, 12], [6, 3], [14, 1]], 1417/36578304],
[[[1, 1], [2, 12], [6, 3], [18, 1]], 41/14515200],
[[[1, 1], [2, 12], [6, 4], [10, 1]], 187/3628800],
[[[1, 1], [2, 14], [3, 1], [6, 4]], 551/391910400],
[[[1, 1], [2, 14], [4, 1], [6, 4]], 11/4354560],
[[[1, 1], [2, 14], [4, 1], [10, 2]], 11/10752000],
[[[1, 1], [2, 14], [6, 1], [10, 2]], 15403/2612736000],
[[[1, 1], [2, 14], [6, 2], [14, 1]], 12647/3657830400],
[[[1, 1], [2, 14], [6, 2], [18, 1]], 13/174182400],
[[[1, 1], [2, 14], [6, 3], [10, 1]], 10919/979776000],
[[[1, 1], [2, 14], [10, 1], [14, 1]], 1069/1219276800],
[[[1, 1], [2, 16], [3, 1], [6, 3]], 103/1567641600],
[[[1, 1], [2, 16], [4, 1], [6, 3]], 397/1791590400],
[[[1, 1], [2, 16], [4, 1], [14, 1]], 73/9754214400],
[[[1, 1], [2, 16], [6, 1], [14, 1]], 293/3657830400],
[[[1, 1], [2, 16], [6, 1], [18, 1]], 19/39016857600],
[[[1, 1], [2, 16], [6, 2], [10, 1]], 239/326592000],
[[[1, 1], [2, 18], [3, 1], [6, 2]], 619/702303436800],
[[[1, 1], [2, 18], [4, 1], [6, 2]], 319/41803776000],
[[[1, 1], [2, 18], [4, 1], [8, 1]], 11/936404582400],
[[[1, 1], [2, 18], [4, 1], [10, 1]], 2837/2341011456000],
[[[1, 1], [2, 18], [6, 1], [10, 1]], 2831/195084288000],
[[[1, 1], [2, 20], [3, 1], [6, 1]], 1/280921374720],
[[[1, 1], [2, 20], [4, 1], [6, 1]], 47/520224768000],
[[[1, 2], [2, 5], [7, 1], [14, 2]], 1/784],
[[[1, 2], [2, 7], [4, 2], [14, 2]], 1/6272],
[[[1, 2], [2, 7], [6, 2], [10, 3]], 11/72000],
[[[1, 2], [2, 7], [6, 2], [14, 2]], 1/3528],
[[[1, 2], [2, 7], [6, 4], [10, 2]], 11/194400],
[[[1, 2], [2, 7], [6, 5], [14, 1]], 1/163296],
[[[1, 2], [2, 7], [6, 5], [18, 1]], 1/31104],
[[[1, 2], [2, 7], [6, 6], [10, 1]], 1/349920],
[[[1, 2], [2, 7], [10, 1], [14, 2]], 37/47040],
[[[1, 2], [2, 9], [3, 1], [6, 6]], 5/186624],
[[[1, 2], [2, 9], [3, 2], [6, 5]], 7/186624],
[[[1, 2], [2, 9], [4, 1], [6, 6]], 1/139968],
[[[1, 2], [2, 9], [4, 1], [10, 3]], 7/144000],
[[[1, 2], [2, 9], [4, 1], [14, 2]], 17/62720],
[[[1, 2], [2, 9], [4, 2], [6, 5]], 5/746496],
[[[1, 2], [2, 9], [6, 1], [10, 3]], 1/3600],
[[[1, 2], [2, 9], [6, 1], [14, 2]], 23/70560],
[[[1, 2], [2, 9], [6, 3], [10, 2]], 137/388800],
[[[1, 2], [2, 9], [6, 4], [14, 1]], 79/653184],
[[[1, 2], [2, 9], [6, 4], [18, 1]], 1/12960],
[[[1, 2], [2, 9], [6, 5], [10, 1]], 31/466560],
[[[1, 2], [2, 9], [10, 2], [14, 1]], 13/25200],
[[[1, 2], [2, 11], [3, 1], [6, 5]], 61/933120],
[[[1, 2], [2, 11], [3, 2], [6, 4]], 17/622080],
[[[1, 2], [2, 11], [4, 1], [6, 5]], 47/933120],
[[[1, 2], [2, 11], [4, 2], [6, 4]], 577/14929920],
[[[1, 2], [2, 11], [4, 2], [8, 2]], 1/8847360],
[[[1, 2], [2, 11], [4, 2], [10, 2]], 1/92160],
[[[1, 2], [2, 11], [6, 2], [10, 2]], 10313/36288000],
[[[1, 2], [2, 11], [6, 3], [14, 1]], 2033/13063680],
[[[1, 2], [2, 11], [6, 3], [18, 1]], 41/1935360],
[[[1, 2], [2, 11], [6, 4], [10, 1]], 1519/9331200],
[[[1, 2], [2, 11], [7, 1], [14, 1]], 1/20321280],
[[[1, 2], [2, 13], [3, 1], [6, 4]], 2927/130636800],
[[[1, 2], [2, 13], [3, 2], [6, 3]], 71/34836480],
[[[1, 2], [2, 13], [4, 1], [6, 4]], 871/26127360],
[[[1, 2], [2, 13], [4, 1], [10, 2]], 407/24192000],
[[[1, 2], [2, 13], [4, 2], [6, 3]], 8387/836075520],
[[[1, 2], [2, 13], [4, 2], [14, 1]], 1163/650280960],
[[[1, 2], [2, 13], [6, 1], [10, 2]], 1127/24883200],
[[[1, 2], [2, 13], [6, 2], [14, 1]], 110197/3657830400],
[[[1, 2], [2, 13], [6, 2], [18, 1]], 181/174182400],
[[[1, 2], [2, 13], [6, 3], [10, 1]], 14279/195955200],
[[[1, 2], [2, 13], [10, 1], [14, 1]], 4087/406425600],
[[[1, 2], [2, 15], [3, 1], [6, 3]], 133/74649600],
[[[1, 2], [2, 15], [3, 2], [6, 2]], 1/59719680],
[[[1, 2], [2, 15], [4, 1], [6, 3]], 63017/12541132800],
[[[1, 2], [2, 15], [4, 1], [14, 1]], 43/152409600],
[[[1, 2], [2, 15], [4, 2], [6, 2]], 7279/8360755200],
[[[1, 2], [2, 15], [4, 2], [8, 1]], 59/5573836800],
[[[1, 2], [2, 15], [4, 2], [10, 1]], 341/1114767360],
[[[1, 2], [2, 15], [6, 1], [14, 1]], 899/731566080],
[[[1, 2], [2, 15], [6, 1], [18, 1]], 1/92897280],
[[[1, 2], [2, 15], [6, 2], [10, 1]], 43223/5225472000],
[[[1, 2], [2, 17], [3, 1], [6, 2]], 9073/234101145600],
[[[1, 2], [2, 17], [4, 1], [6, 2]], 5477/20901888000],
[[[1, 2], [2, 17], [4, 1], [8, 1]], 643/936404582400],
[[[1, 2], [2, 17], [4, 1], [10, 1]], 120269/2341011456000],
[[[1, 2], [2, 17], [4, 2], [6, 1]], 883/33443020800],
[[[1, 2], [2, 17], [6, 1], [10, 1]], 1531/5852528640],
[[[1, 2], [2, 19], [3, 1], [6, 1]], 13/58525286400],
[[[1, 2], [2, 19], [4, 1], [6, 1]], 10741/2341011456000],
[[[1, 3], [2, 4], [4, 3], [8, 3]], 3/2048],
[[[1, 3], [2, 4], [7, 1], [14, 2]], 1/392],
[[[1, 3], [2, 4], [7, 2], [14, 1]], 1/784],
[[[1, 3], [2, 6], [4, 2], [14, 2]], 3/12544],
[[[1, 3], [2, 6], [6, 2], [10, 3]], 1/72000],
[[[1, 3], [2, 6], [6, 2], [14, 2]], 1/14112],
[[[1, 3], [2, 6], [6, 5], [18, 1]], 1/93312],
[[[1, 3], [2, 6], [10, 1], [14, 2]], 1/3136],
[[[1, 3], [2, 8], [3, 1], [6, 6]], 5/186624],
[[[1, 3], [2, 8], [3, 2], [6, 5]], 7/62208],
[[[1, 3], [2, 8], [3, 3], [6, 4]], 1/20736],
[[[1, 3], [2, 8], [4, 1], [6, 6]], 1/279936],
[[[1, 3], [2, 8], [4, 1], [10, 3]], 1/9600],
[[[1, 3], [2, 8], [4, 1], [14, 2]], 1/1792],
[[[1, 3], [2, 8], [4, 2], [6, 5]], 1/124416],
[[[1, 3], [2, 8], [4, 3], [6, 4]], 1/248832],
[[[1, 3], [2, 8], [4, 3], [8, 2]], 13/245760],
[[[1, 3], [2, 8], [4, 3], [10, 2]], 1/76800],
[[[1, 3], [2, 8], [6, 1], [10, 3]], 1/4500],
[[[1, 3], [2, 8], [6, 1], [14, 2]], 5/14112],
[[[1, 3], [2, 8], [6, 3], [10, 2]], 1/4800],
[[[1, 3], [2, 8], [6, 4], [14, 1]], 1/15552],
[[[1, 3], [2, 8], [6, 4], [18, 1]], 1/11664],
[[[1, 3], [2, 8], [6, 5], [10, 1]], 13/466560],
[[[1, 3], [2, 8], [10, 2], [14, 1]], 3/5600],
[[[1, 3], [2, 10], [3, 1], [6, 5]], 23/155520],
[[[1, 3], [2, 10], [3, 2], [6, 4]], 19/103680],
[[[1, 3], [2, 10], [3, 3], [6, 3]], 1/41472],
[[[1, 3], [2, 10], [4, 1], [6, 5]], 29/373248],
[[[1, 3], [2, 10], [4, 2], [6, 4]], 223/1658880],
[[[1, 3], [2, 10], [4, 2], [8, 2]], 211/61931520],
[[[1, 3], [2, 10], [4, 2], [10, 2]], 11/115200],
[[[1, 3], [2, 10], [4, 3], [6, 3]], 139/1990656],
[[[1, 3], [2, 10], [4, 3], [14, 1]], 17/860160],
[[[1, 3], [2, 10], [6, 2], [10, 2]], 833/1728000],
[[[1, 3], [2, 10], [6, 3], [14, 1]], 17/69120],
[[[1, 3], [2, 10], [6, 3], [18, 1]], 13/207360],
[[[1, 3], [2, 10], [6, 4], [10, 1]], 127/622080],
[[[1, 3], [2, 10], [7, 1], [14, 1]], 37/20321280],
[[[1, 3], [2, 12], [3, 1], [6, 4]], 1483/13063680],
[[[1, 3], [2, 12], [3, 2], [6, 3]], 187/5806080],
[[[1, 3], [2, 12], [4, 1], [6, 4]], 109/829440],
[[[1, 3], [2, 12], [4, 1], [10, 2]], 1927/19353600],
[[[1, 3], [2, 12], [4, 2], [6, 3]], 30637/278691840],
[[[1, 3], [2, 12], [4, 2], [14, 1]], 9127/325140480],
[[[1, 3], [2, 12], [4, 3], [6, 2]], 23/1327104],
[[[1, 3], [2, 12], [4, 3], [8, 1]], 181/74317824],
[[[1, 3], [2, 12], [4, 3], [10, 1]], 53/11468800],
[[[1, 3], [2, 12], [6, 1], [10, 2]], 15403/96768000],
[[[1, 3], [2, 12], [6, 2], [14, 1]], 1819/16257024],
[[[1, 3], [2, 12], [6, 2], [18, 1]], 689/104509440],
[[[1, 3], [2, 12], [6, 3], [10, 1]], 6767/32659200],
[[[1, 3], [2, 12], [10, 1], [14, 1]], 6763/135475200],
[[[1, 3], [2, 14], [3, 1], [6, 3]], 13/746496],
[[[1, 3], [2, 14], [3, 2], [6, 2]], 79/139345920],
[[[1, 3], [2, 14], [4, 1], [6, 3]], 506473/12541132800],
[[[1, 3], [2, 14], [4, 1], [14, 1]], 289/77414400],
[[[1, 3], [2, 14], [4, 2], [6, 2]], 11677/696729600],
[[[1, 3], [2, 14], [4, 2], [8, 1]], 2141/5573836800],
[[[1, 3], [2, 14], [4, 2], [10, 1]], 34387/5573836800],
[[[1, 3], [2, 14], [4, 3], [6, 1]], 7537/5573836800],
[[[1, 3], [2, 14], [6, 1], [14, 1]], 10853/1219276800],
[[[1, 3], [2, 14], [6, 1], [18, 1]], 493/4180377600],
[[[1, 3], [2, 14], [6, 2], [10, 1]], 116269/2612736000],
[[[1, 3], [2, 16], [3, 1], [6, 2]], 593/928972800],
[[[1, 3], [2, 16], [4, 1], [6, 2]], 3601/1045094400],
[[[1, 3], [2, 16], [4, 1], [8, 1]], 733/46820229120],
[[[1, 3], [2, 16], [4, 1], [10, 1]], 4519/5573836800],
[[[1, 3], [2, 16], [4, 2], [6, 1]], 1/1290240],
[[[1, 3], [2, 16], [6, 1], [10, 1]], 1831/774144000],
[[[1, 3], [2, 18], [3, 1], [6, 1]], 2581/468202291200],
[[[1, 3], [2, 18], [4, 1], [6, 1]], 143053/1560674304000],
[[[1, 4], [2, 3], [4, 3], [8, 3]], 3/2048],
[[[1, 4], [2, 3], [7, 1], [14, 2]], 1/784],
[[[1, 4], [2, 3], [7, 2], [14, 1]], 1/392],
[[[1, 4], [2, 5], [4, 2], [14, 2]], 1/12544],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 13/8192],
[[[1, 4], [2, 7], [3, 1], [6, 6]], 5/559872],
[[[1, 4], [2, 7], [3, 2], [6, 5]], 25/186624],
[[[1, 4], [2, 7], [3, 3], [6, 4]], 1/6912],
[[[1, 4], [2, 7], [4, 1], [10, 3]], 1/16000],
[[[1, 4], [2, 7], [4, 1], [14, 2]], 5/12544],
[[[1, 4], [2, 7], [4, 2], [6, 5]], 1/746496],
[[[1, 4], [2, 7], [4, 3], [6, 4]], 1/248832],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 103/245760],
[[[1, 4], [2, 7], [4, 3], [10, 2]], 1/19200],
[[[1, 4], [2, 7], [4, 4], [6, 3]], 11/3981312],
[[[1, 4], [2, 7], [4, 4], [14, 1]], 23/344064],
[[[1, 4], [2, 7], [6, 1], [10, 3]], 1/24000],
[[[1, 4], [2, 7], [6, 1], [14, 2]], 1/8064],
[[[1, 4], [2, 7], [6, 3], [10, 2]], 1/64800],
[[[1, 4], [2, 7], [6, 4], [14, 1]], 1/145152],
[[[1, 4], [2, 7], [6, 4], [18, 1]], 1/31104],
[[[1, 4], [2, 7], [10, 2], [14, 1]], 1/5600],
[[[1, 4], [2, 9], [3, 1], [6, 5]], 77/559872],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 17/38880],
[[[1, 4], [2, 9], [3, 3], [6, 3]], 1/6912],
[[[1, 4], [2, 9], [4, 1], [6, 5]], 1/23328],
[[[1, 4], [2, 9], [4, 2], [6, 4]], 403/2985984],
[[[1, 4], [2, 9], [4, 2], [8, 2]], 307/10321920],
[[[1, 4], [2, 9], [4, 2], [10, 2]], 1/3840],
[[[1, 4], [2, 9], [4, 3], [6, 3]], 325/1990656],
[[[1, 4], [2, 9], [4, 3], [14, 1]], 11/71680],
[[[1, 4], [2, 9], [4, 4], [6, 2]], 173/2654208],
[[[1, 4], [2, 9], [4, 4], [8, 1]], 1/32768],
[[[1, 4], [2, 9], [4, 4], [10, 1]], 47/2949120],
[[[1, 4], [2, 9], [5, 1], [10, 2]], 1/28800],
[[[1, 4], [2, 9], [6, 2], [10, 2]], 43/138240],
[[[1, 4], [2, 9], [6, 3], [14, 1]], 269/1741824],
[[[1, 4], [2, 9], [6, 3], [18, 1]], 13/165888],
[[[1, 4], [2, 9], [6, 4], [10, 1]], 35/373248],
[[[1, 4], [2, 9], [7, 1], [14, 1]], 23/1128960],
[[[1, 4], [2, 11], [3, 1], [6, 4]], 1373/5598720],
[[[1, 4], [2, 11], [3, 2], [6, 3]], 5657/34836480],
[[[1, 4], [2, 11], [4, 1], [6, 4]], 517/2488320],
[[[1, 4], [2, 11], [4, 1], [10, 2]], 19/72000],
[[[1, 4], [2, 11], [4, 2], [6, 3]], 19871/59719680],
[[[1, 4], [2, 11], [4, 2], [14, 1]], 10789/72253440],
[[[1, 4], [2, 11], [4, 3], [6, 2]], 527/3317760],
[[[1, 4], [2, 11], [4, 3], [8, 1]], 1883/53084160],
[[[1, 4], [2, 11], [4, 3], [10, 1]], 1811/34406400],
[[[1, 4], [2, 11], [4, 4], [6, 1]], 659/53084160],
[[[1, 4], [2, 11], [6, 1], [10, 2]], 1229/4608000],
[[[1, 4], [2, 11], [6, 2], [14, 1]], 2213/11612160],
[[[1, 4], [2, 11], [6, 2], [18, 1]], 11/552960],
[[[1, 4], [2, 11], [6, 3], [10, 1]], 157/583200],
[[[1, 4], [2, 11], [10, 1], [14, 1]], 2243/19353600],
[[[1, 4], [2, 13], [3, 1], [6, 3]], 12109/156764160],
[[[1, 4], [2, 13], [3, 2], [6, 2]], 527/83607552],
[[[1, 4], [2, 13], [4, 1], [6, 3]], 119209/836075520],
[[[1, 4], [2, 13], [4, 1], [14, 1]], 3659/162570240],
[[[1, 4], [2, 13], [4, 2], [6, 2]], 187003/1672151040],
[[[1, 4], [2, 13], [4, 2], [8, 1]], 8959/1857945600],
[[[1, 4], [2, 13], [4, 2], [10, 1]], 17081/371589120],
[[[1, 4], [2, 13], [4, 3], [6, 1]], 61301/2786918400],
[[[1, 4], [2, 13], [5, 1], [10, 1]], 1/87091200],
[[[1, 4], [2, 13], [6, 1], [14, 1]], 377/11612160],
[[[1, 4], [2, 13], [6, 1], [18, 1]], 383/557383680],
[[[1, 4], [2, 13], [6, 2], [10, 1]], 2123/17418240],
[[[1, 4], [2, 15], [3, 1], [6, 2]], 128323/25082265600],
[[[1, 4], [2, 15], [4, 1], [6, 2]], 92513/4180377600],
[[[1, 4], [2, 15], [4, 1], [8, 1]], 221/1238630400],
[[[1, 4], [2, 15], [4, 1], [10, 1]], 174467/27869184000],
[[[1, 4], [2, 15], [4, 2], [6, 1]], 28871/3344302080],
[[[1, 4], [2, 15], [6, 1], [10, 1]], 488077/41803776000],
[[[1, 4], [2, 17], [3, 1], [6, 1]], 3091/43893964800],
[[[1, 4], [2, 17], [4, 1], [6, 1]], 749/796262400],
[[[1, 5], [2, 2], [7, 2], [14, 1]], 1/784],
[[[1, 5], [2, 4], [4, 2], [7, 2]], 1/12544],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 13/8192],
[[[1, 5], [2, 6], [3, 2], [6, 5]], 11/186624],
[[[1, 5], [2, 6], [3, 3], [6, 4]], 7/20736],
[[[1, 5], [2, 6], [3, 4], [6, 3]], 5/20736],
[[[1, 5], [2, 6], [4, 1], [14, 2]], 1/12544],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 3/1024],
[[[1, 5], [2, 6], [4, 3], [10, 2]], 1/25600],
[[[1, 5], [2, 6], [4, 4], [6, 3]], 11/3981312],
[[[1, 5], [2, 6], [4, 4], [7, 1]], 11/344064],
[[[1, 5], [2, 6], [4, 4], [14, 1]], 17/172032],
[[[1, 5], [2, 6], [4, 5], [5, 1]], 11/491520],
[[[1, 5], [2, 6], [4, 5], [8, 1]], 41/98304],
[[[1, 5], [2, 6], [4, 5], [10, 1]], 11/491520],
[[[1, 5], [2, 8], [3, 1], [6, 5]], 17/373248],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 31/62208],
[[[1, 5], [2, 8], [3, 3], [6, 3]], 1/2592],
[[[1, 5], [2, 8], [4, 1], [6, 5]], 1/186624],
[[[1, 5], [2, 8], [4, 2], [6, 4]], 13/331776],
[[[1, 5], [2, 8], [4, 2], [8, 2]], 43/491520],
[[[1, 5], [2, 8], [4, 2], [10, 2]], 3/12800],
[[[1, 5], [2, 8], [4, 3], [6, 3]], 223/1990656],
[[[1, 5], [2, 8], [4, 3], [14, 1]], 5/14336],
[[[1, 5], [2, 8], [4, 4], [6, 2]], 37/331776],
[[[1, 5], [2, 8], [4, 4], [8, 1]], 25/98304],
[[[1, 5], [2, 8], [4, 4], [10, 1]], 257/2949120],
[[[1, 5], [2, 8], [4, 5], [6, 1]], 23/589824],
[[[1, 5], [2, 8], [5, 1], [10, 2]], 7/28800],
[[[1, 5], [2, 8], [6, 2], [10, 2]], 7/138240],
[[[1, 5], [2, 8], [6, 3], [14, 1]], 7/248832],
[[[1, 5], [2, 8], [6, 3], [18, 1]], 1/27648],
[[[1, 5], [2, 8], [6, 4], [10, 1]], 11/1866240],
[[[1, 5], [2, 8], [7, 1], [14, 1]], 13/161280],
[[[1, 5], [2, 10], [3, 1], [6, 4]], 179/746496],
[[[1, 5], [2, 10], [3, 2], [6, 3]], 457/1244160],
[[[1, 5], [2, 10], [4, 1], [6, 4]], 67/497664],
[[[1, 5], [2, 10], [4, 1], [10, 2]], 293/921600],
[[[1, 5], [2, 10], [4, 2], [6, 3]], 1493/3981312],
[[[1, 5], [2, 10], [4, 2], [14, 1]], 163/516096],
[[[1, 5], [2, 10], [4, 3], [6, 2]], 1237/3317760],
[[[1, 5], [2, 10], [4, 3], [8, 1]], 779/4128768],
[[[1, 5], [2, 10], [4, 3], [10, 1]], 1469/7372800],
[[[1, 5], [2, 10], [4, 4], [6, 1]], 1331/13271040],
[[[1, 5], [2, 10], [6, 1], [10, 2]], 109/552960],
[[[1, 5], [2, 10], [6, 2], [14, 1]], 335/2322432],
[[[1, 5], [2, 10], [6, 2], [18, 1]], 47/1658880],
[[[1, 5], [2, 10], [6, 3], [10, 1]], 271/1866240],
[[[1, 5], [2, 10], [10, 1], [14, 1]], 53/430080],
[[[1, 5], [2, 12], [3, 1], [6, 3]], 1175/6967296],
[[[1, 5], [2, 12], [3, 2], [6, 2]], 2533/83607552],
[[[1, 5], [2, 12], [4, 1], [6, 3]], 5653/23887872],
[[[1, 5], [2, 12], [4, 1], [14, 1]], 223/3386880],
[[[1, 5], [2, 12], [4, 2], [6, 2]], 7291/23224320],
[[[1, 5], [2, 12], [4, 2], [8, 1]], 3403/123863040],
[[[1, 5], [2, 12], [4, 2], [10, 1]], 97721/619315200],
[[[1, 5], [2, 12], [4, 3], [6, 1]], 45233/371589120],
[[[1, 5], [2, 12], [5, 1], [10, 1]], 37/87091200],
[[[1, 5], [2, 12], [6, 1], [14, 1]], 701/11612160],
[[[1, 5], [2, 12], [6, 1], [18, 1]], 397/185794560],
[[[1, 5], [2, 12], [6, 2], [10, 1]], 421/2488320],
[[[1, 5], [2, 14], [3, 1], [6, 2]], 361153/16721510400],
[[[1, 5], [2, 14], [4, 1], [6, 2]], 61853/836075520],
[[[1, 5], [2, 14], [4, 1], [8, 1]], 907/825753600],
[[[1, 5], [2, 14], [4, 1], [10, 1]], 31891/1238630400],
[[[1, 5], [2, 14], [4, 2], [6, 1]], 42913/928972800],
[[[1, 5], [2, 14], [6, 1], [10, 1]], 53789/1672151040],
[[[1, 5], [2, 16], [3, 1], [6, 1]], 16897/33443020800],
[[[1, 5], [2, 16], [4, 1], [6, 1]], 4819/891813888],
[[[1, 5], [3, 1], [7, 2], [9, 1]], 1/3528],
[[[1, 5], [3, 3], [5, 2], [9, 1]], 1/16200],
[[[1, 6], [2, 1], [3, 3], [5, 3]], 1/27000],
[[[1, 6], [2, 1], [3, 3], [7, 2]], 1/63504],
[[[1, 6], [2, 1], [3, 5], [5, 2]], 1/291600],
[[[1, 6], [2, 3], [3, 2], [5, 3]], 1/72000],
[[[1, 6], [2, 3], [3, 2], [7, 2]], 1/14112],
[[[1, 6], [2, 3], [3, 5], [9, 1]], 1/93312],
[[[1, 6], [2, 3], [4, 2], [7, 2]], 3/12544],
[[[1, 6], [2, 3], [5, 1], [7, 2]], 1/3136],
[[[1, 6], [2, 5], [3, 3], [4, 4]], 11/3981312],
[[[1, 6], [2, 5], [3, 3], [6, 4]], 5/20736],
[[[1, 6], [2, 5], [3, 4], [6, 3]], 7/20736],
[[[1, 6], [2, 5], [3, 5], [6, 2]], 11/186624],
[[[1, 6], [2, 5], [4, 1], [7, 2]], 1/12544],
[[[1, 6], [2, 5], [4, 3], [5, 2]], 1/25600],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 3/1024],
[[[1, 6], [2, 5], [4, 4], [7, 1]], 17/172032],
[[[1, 6], [2, 5], [4, 4], [14, 1]], 11/344064],
[[[1, 6], [2, 5], [4, 5], [5, 1]], 11/491520],
[[[1, 6], [2, 5], [4, 5], [8, 1]], 41/98304],
[[[1, 6], [2, 5], [4, 5], [10, 1]], 11/491520],
[[[1, 6], [2, 7], [3, 1], [4, 5]], 11/589824],
[[[1, 6], [2, 7], [3, 2], [6, 4]], 1/4608],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 41/41472],
[[[1, 6], [2, 7], [4, 2], [8, 2]], 43/98304],
[[[1, 6], [2, 7], [4, 2], [10, 2]], 3/51200],
[[[1, 6], [2, 7], [4, 3], [6, 3]], 37/1990656],
[[[1, 6], [2, 7], [4, 3], [7, 1]], 19/172032],
[[[1, 6], [2, 7], [4, 3], [14, 1]], 1/3072],
[[[1, 6], [2, 7], [4, 4], [5, 1]], 29/327680],
[[[1, 6], [2, 7], [4, 4], [6, 2]], 41/884736],
[[[1, 6], [2, 7], [4, 4], [8, 1]], 3/2048],
[[[1, 6], [2, 7], [4, 4], [10, 1]], 157/983040],
[[[1, 6], [2, 7], [4, 5], [6, 1]], 17/294912],
[[[1, 6], [2, 7], [5, 1], [10, 2]], 1/3200],
[[[1, 6], [2, 7], [5, 2], [10, 1]], 1/9600],
[[[1, 6], [2, 7], [6, 3], [18, 1]], 1/497664],
[[[1, 6], [2, 7], [7, 1], [14, 1]], 5/32256],
[[[1, 6], [2, 9], [3, 1], [6, 4]], 353/3732480],
[[[1, 6], [2, 9], [3, 2], [6, 3]], 47/110592],
[[[1, 6], [2, 9], [4, 1], [6, 4]], 41/1492992],
[[[1, 6], [2, 9], [4, 1], [10, 2]], 37/230400],
[[[1, 6], [2, 9], [4, 2], [6, 3]], 1255/7962624],
[[[1, 6], [2, 9], [4, 2], [14, 1]], 683/2064384],
[[[1, 6], [2, 9], [4, 3], [6, 2]], 221/663552],
[[[1, 6], [2, 9], [4, 3], [8, 1]], 1469/2949120],
[[[1, 6], [2, 9], [4, 3], [10, 1]], 469/1474560],
[[[1, 6], [2, 9], [4, 4], [6, 1]], 103/442368],
[[[1, 6], [2, 9], [6, 1], [10, 2]], 47/921600],
[[[1, 6], [2, 9], [6, 2], [14, 1]], 31/774144],
[[[1, 6], [2, 9], [6, 2], [18, 1]], 17/995328],
[[[1, 6], [2, 9], [6, 3], [10, 1]], 13/622080],
[[[1, 6], [2, 9], [10, 1], [14, 1]], 71/1290240],
[[[1, 6], [2, 11], [3, 1], [6, 3]], 919/4976640],
[[[1, 6], [2, 11], [3, 2], [6, 2]], 223/3096576],
[[[1, 6], [2, 11], [4, 1], [6, 3]], 4303/23887872],
[[[1, 6], [2, 11], [4, 1], [14, 1]], 121/1290240],
[[[1, 6], [2, 11], [4, 2], [6, 2]], 10571/26542080],
[[[1, 6], [2, 11], [4, 2], [8, 1]], 10013/123863040],
[[[1, 6], [2, 11], [4, 2], [10, 1]], 23357/88473600],
[[[1, 6], [2, 11], [4, 3], [6, 1]], 3659/13271040],
[[[1, 6], [2, 11], [5, 1], [10, 1]], 23/4838400],
[[[1, 6], [2, 11], [6, 1], [14, 1]], 71/1290240],
[[[1, 6], [2, 11], [6, 1], [18, 1]], 137/39813120],
[[[1, 6], [2, 11], [6, 2], [10, 1]], 121/1105920],
[[[1, 6], [2, 13], [3, 1], [6, 2]], 275171/5573836800],
[[[1, 6], [2, 13], [4, 1], [6, 2]], 36161/278691840],
[[[1, 6], [2, 13], [4, 1], [8, 1]], 2411/637009920],
[[[1, 6], [2, 13], [4, 1], [10, 1]], 23657/412876800],
[[[1, 6], [2, 13], [4, 2], [6, 1]], 23293/185794560],
[[[1, 6], [2, 13], [6, 1], [10, 1]], 22549/464486400],
[[[1, 6], [2, 15], [3, 1], [6, 1]], 8767/4180377600],
[[[1, 6], [2, 15], [4, 1], [6, 1]], 594497/33443020800],
[[[1, 7], [2, 2], [3, 2], [5, 3]], 11/72000],
[[[1, 7], [2, 2], [3, 2], [7, 2]], 1/3528],
[[[1, 7], [2, 2], [3, 4], [5, 2]], 11/194400],
[[[1, 7], [2, 2], [3, 5], [7, 1]], 1/163296],
[[[1, 7], [2, 2], [3, 5], [9, 1]], 1/31104],
[[[1, 7], [2, 2], [3, 6], [5, 1]], 1/349920],
[[[1, 7], [2, 2], [4, 2], [7, 2]], 1/6272],
[[[1, 7], [2, 2], [5, 1], [7, 2]], 37/47040],
[[[1, 7], [2, 4], [3, 1], [5, 3]], 1/24000],
[[[1, 7], [2, 4], [3, 1], [7, 2]], 1/8064],
[[[1, 7], [2, 4], [3, 3], [4, 4]], 11/3981312],
[[[1, 7], [2, 4], [3, 3], [5, 2]], 1/64800],
[[[1, 7], [2, 4], [3, 4], [4, 3]], 1/248832],
[[[1, 7], [2, 4], [3, 4], [6, 3]], 1/6912],
[[[1, 7], [2, 4], [3, 4], [7, 1]], 1/145152],
[[[1, 7], [2, 4], [3, 4], [9, 1]], 1/31104],
[[[1, 7], [2, 4], [3, 5], [4, 2]], 1/746496],
[[[1, 7], [2, 4], [3, 5], [6, 2]], 25/186624],
[[[1, 7], [2, 4], [3, 6], [6, 1]], 5/559872],
[[[1, 7], [2, 4], [4, 1], [5, 3]], 1/16000],
[[[1, 7], [2, 4], [4, 1], [7, 2]], 5/12544],
[[[1, 7], [2, 4], [4, 3], [5, 2]], 1/19200],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 103/245760],
[[[1, 7], [2, 4], [4, 4], [7, 1]], 23/344064],
[[[1, 7], [2, 4], [5, 2], [7, 1]], 1/5600],
[[[1, 7], [2, 6], [3, 1], [4, 5]], 17/294912],
[[[1, 7], [2, 6], [3, 2], [4, 4]], 41/884736],
[[[1, 7], [2, 6], [3, 3], [4, 3]], 37/1990656],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 41/41472],
[[[1, 7], [2, 6], [3, 3], [9, 1]], 1/497664],
[[[1, 7], [2, 6], [3, 4], [6, 2]], 1/4608],
[[[1, 7], [2, 6], [4, 2], [5, 2]], 3/51200],
[[[1, 7], [2, 6], [4, 2], [8, 2]], 43/98304],
[[[1, 7], [2, 6], [4, 3], [7, 1]], 1/3072],
[[[1, 7], [2, 6], [4, 3], [14, 1]], 19/172032],
[[[1, 7], [2, 6], [4, 4], [5, 1]], 157/983040],
[[[1, 7], [2, 6], [4, 4], [8, 1]], 3/2048],
[[[1, 7], [2, 6], [4, 4], [10, 1]], 29/327680],
[[[1, 7], [2, 6], [4, 5], [6, 1]], 11/589824],
[[[1, 7], [2, 6], [5, 1], [10, 2]], 1/9600],
[[[1, 7], [2, 6], [5, 2], [10, 1]], 1/3200],
[[[1, 7], [2, 6], [7, 1], [14, 1]], 5/32256],
[[[1, 7], [2, 8], [3, 1], [4, 4]], 239/3538944],
[[[1, 7], [2, 8], [3, 1], [6, 4]], 7/933120],
[[[1, 7], [2, 8], [3, 2], [6, 3]], 67/276480],
[[[1, 7], [2, 8], [3, 3], [6, 2]], 29/552960],
[[[1, 7], [2, 8], [4, 1], [10, 2]], 7/307200],
[[[1, 7], [2, 8], [4, 2], [6, 3]], 41/2654208],
[[[1, 7], [2, 8], [4, 2], [7, 1]], 13/229376],
[[[1, 7], [2, 8], [4, 2], [14, 1]], 67/344064],
[[[1, 7], [2, 8], [4, 3], [5, 1]], 77/983040],
[[[1, 7], [2, 8], [4, 3], [6, 2]], 5/49152],
[[[1, 7], [2, 8], [4, 3], [8, 1]], 709/589824],
[[[1, 7], [2, 8], [4, 3], [10, 1]], 241/983040],
[[[1, 7], [2, 8], [4, 4], [6, 1]], 47/221184],
[[[1, 7], [2, 8], [6, 1], [10, 2]], 1/921600],
[[[1, 7], [2, 8], [6, 2], [14, 1]], 1/774144],
[[[1, 7], [2, 8], [6, 2], [18, 1]], 1/331776],
[[[1, 7], [2, 8], [10, 1], [14, 1]], 1/143360],
[[[1, 7], [2, 10], [3, 1], [6, 3]], 247/2488320],
[[[1, 7], [2, 10], [3, 2], [6, 2]], 223/2211840],
[[[1, 7], [2, 10], [4, 1], [6, 3]], 6379/119439360],
[[[1, 7], [2, 10], [4, 1], [14, 1]], 17/245760],
[[[1, 7], [2, 10], [4, 2], [6, 2]], 103/442368],
[[[1, 7], [2, 10], [4, 2], [8, 1]], 871/5898240],
[[[1, 7], [2, 10], [4, 2], [10, 1]], 277/1179648],
[[[1, 7], [2, 10], [4, 3], [6, 1]], 367/1179648],
[[[1, 7], [2, 10], [5, 1], [10, 1]], 13/691200],
[[[1, 7], [2, 10], [6, 1], [14, 1]], 17/774144],
[[[1, 7], [2, 10], [6, 1], [18, 1]], 7/2654208],
[[[1, 7], [2, 10], [6, 2], [10, 1]], 43/1658880],
[[[1, 7], [2, 12], [3, 1], [6, 2]], 24689/398131200],
[[[1, 7], [2, 12], [4, 1], [6, 2]], 1151/9953280],
[[[1, 7], [2, 12], [4, 1], [8, 1]], 1973/247726080],
[[[1, 7], [2, 12], [4, 1], [10, 1]], 1999/29491200],
[[[1, 7], [2, 12], [4, 2], [6, 1]], 259/1474560],
[[[1, 7], [2, 12], [6, 1], [10, 1]], 2491/66355200],
[[[1, 7], [2, 14], [3, 1], [6, 1]], 24217/4777574400],
[[[1, 7], [2, 14], [4, 1], [6, 1]], 740351/22295347200],
[[[1, 7], [3, 1], [5, 1], [7, 2]], 1/2940],
[[[1, 7], [3, 2], [5, 2], [7, 1]], 1/5040],
[[[1, 7], [3, 2], [5, 2], [9, 1]], 1/16200],
[[[1, 7], [3, 3], [7, 1], [9, 1]], 1/9072],
[[[1, 7], [3, 4], [5, 1], [7, 1]], 1/68040],
[[[1, 7], [3, 4], [5, 1], [9, 1]], 1/19440],
[[[1, 8], [2, 1], [3, 2], [5, 3]], 13/72000],
[[[1, 8], [2, 1], [3, 2], [7, 2]], 13/42336],
[[[1, 8], [2, 1], [3, 4], [5, 2]], 7/72900],
[[[1, 8], [2, 1], [3, 5], [7, 1]], 1/81648],
[[[1, 8], [2, 1], [3, 5], [9, 1]], 1/31104],
[[[1, 8], [2, 1], [3, 6], [5, 1]], 1/174960],
[[[1, 8], [2, 1], [5, 1], [7, 2]], 9/15680],
[[[1, 8], [2, 3], [3, 1], [5, 3]], 1/4500],
[[[1, 8], [2, 3], [3, 1], [7, 2]], 5/14112],
[[[1, 8], [2, 3], [3, 3], [5, 2]], 1/4800],
[[[1, 8], [2, 3], [3, 4], [4, 3]], 1/248832],
[[[1, 8], [2, 3], [3, 4], [6, 3]], 1/20736],
[[[1, 8], [2, 3], [3, 4], [7, 1]], 1/15552],
[[[1, 8], [2, 3], [3, 4], [9, 1]], 1/11664],
[[[1, 8], [2, 3], [3, 5], [4, 2]], 1/124416],
[[[1, 8], [2, 3], [3, 5], [5, 1]], 13/466560],
[[[1, 8], [2, 3], [3, 5], [6, 2]], 7/62208],
[[[1, 8], [2, 3], [3, 6], [4, 1]], 1/279936],
[[[1, 8], [2, 3], [3, 6], [6, 1]], 5/186624],
[[[1, 8], [2, 3], [4, 1], [5, 3]], 1/9600],
[[[1, 8], [2, 3], [4, 1], [7, 2]], 1/1792],
[[[1, 8], [2, 3], [4, 3], [5, 2]], 1/76800],
[[[1, 8], [2, 3], [4, 3], [8, 2]], 13/245760],
[[[1, 8], [2, 3], [5, 2], [7, 1]], 3/5600],
[[[1, 8], [2, 5], [3, 1], [4, 5]], 23/589824],
[[[1, 8], [2, 5], [3, 2], [4, 4]], 37/331776],
[[[1, 8], [2, 5], [3, 2], [5, 2]], 7/138240],
[[[1, 8], [2, 5], [3, 3], [4, 3]], 223/1990656],
[[[1, 8], [2, 5], [3, 3], [6, 3]], 1/2592],
[[[1, 8], [2, 5], [3, 3], [7, 1]], 7/248832],
[[[1, 8], [2, 5], [3, 3], [9, 1]], 1/27648],
[[[1, 8], [2, 5], [3, 4], [4, 2]], 13/331776],
[[[1, 8], [2, 5], [3, 4], [5, 1]], 11/1866240],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 31/62208],
[[[1, 8], [2, 5], [3, 5], [4, 1]], 1/186624],
[[[1, 8], [2, 5], [3, 5], [6, 1]], 17/373248],
[[[1, 8], [2, 5], [4, 2], [5, 2]], 3/12800],
[[[1, 8], [2, 5], [4, 2], [8, 2]], 43/491520],
[[[1, 8], [2, 5], [4, 3], [7, 1]], 5/14336],
[[[1, 8], [2, 5], [4, 4], [5, 1]], 257/2949120],
[[[1, 8], [2, 5], [4, 4], [8, 1]], 25/98304],
[[[1, 8], [2, 5], [5, 2], [10, 1]], 7/28800],
[[[1, 8], [2, 5], [7, 1], [14, 1]], 13/161280],
[[[1, 8], [2, 7], [3, 1], [4, 4]], 47/221184],
[[[1, 8], [2, 7], [3, 1], [5, 2]], 1/921600],
[[[1, 8], [2, 7], [3, 2], [4, 3]], 5/49152],
[[[1, 8], [2, 7], [3, 2], [6, 3]], 29/552960],
[[[1, 8], [2, 7], [3, 2], [7, 1]], 1/774144],
[[[1, 8], [2, 7], [3, 2], [9, 1]], 1/331776],
[[[1, 8], [2, 7], [3, 3], [4, 2]], 41/2654208],
[[[1, 8], [2, 7], [3, 3], [6, 2]], 67/276480],
[[[1, 8], [2, 7], [3, 4], [6, 1]], 7/933120],
[[[1, 8], [2, 7], [4, 1], [5, 2]], 7/307200],
[[[1, 8], [2, 7], [4, 2], [7, 1]], 67/344064],
[[[1, 8], [2, 7], [4, 2], [14, 1]], 13/229376],
[[[1, 8], [2, 7], [4, 3], [5, 1]], 241/983040],
[[[1, 8], [2, 7], [4, 3], [8, 1]], 709/589824],
[[[1, 8], [2, 7], [4, 3], [10, 1]], 77/983040],
[[[1, 8], [2, 7], [4, 4], [6, 1]], 239/3538944],
[[[1, 8], [2, 7], [5, 1], [7, 1]], 1/143360],
[[[1, 8], [2, 9], [3, 1], [4, 3]], 155/3538944],
[[[1, 8], [2, 9], [3, 1], [6, 3]], 1/46080],
[[[1, 8], [2, 9], [3, 1], [9, 1]], 163/371589120],
[[[1, 8], [2, 9], [3, 2], [6, 2]], 79/552960],
[[[1, 8], [2, 9], [4, 1], [6, 3]], 349/119439360],
[[[1, 8], [2, 9], [4, 1], [7, 1]], 79/10321920],
[[[1, 8], [2, 9], [4, 1], [14, 1]], 11/368640],
[[[1, 8], [2, 9], [4, 2], [5, 1]], 743/29491200],
[[[1, 8], [2, 9], [4, 2], [6, 2]], 31/589824],
[[[1, 8], [2, 9], [4, 2], [8, 1]], 367/1474560],
[[[1, 8], [2, 9], [4, 2], [10, 1]], 3353/29491200],
[[[1, 8], [2, 9], [4, 3], [6, 1]], 319/1769472],
[[[1, 8], [2, 9], [5, 1], [10, 1]], 1/27648],
[[[1, 8], [2, 9], [6, 1], [14, 1]], 1/387072],
[[[1, 8], [2, 9], [6, 1], [18, 1]], 443/371589120],
[[[1, 8], [2, 9], [6, 2], [10, 1]], 1/1327104],
[[[1, 8], [2, 11], [3, 1], [6, 2]], 397/8847360],
[[[1, 8], [2, 11], [4, 1], [6, 2]], 1943/39813120],
[[[1, 8], [2, 11], [4, 1], [8, 1]], 137/11796480],
[[[1, 8], [2, 11], [4, 1], [10, 1]], 3853/88473600],
[[[1, 8], [2, 11], [4, 2], [6, 1]], 2369/17694720],
[[[1, 8], [2, 11], [6, 1], [10, 1]], 24359/1857945600],
[[[1, 8], [2, 13], [3, 1], [6, 1]], 559/77414400],
[[[1, 8], [2, 13], [4, 1], [6, 1]], 27377/796262400],
[[[1, 9], [2, 2], [3, 1], [5, 3]], 1/3600],
[[[1, 9], [2, 2], [3, 1], [7, 2]], 23/70560],
[[[1, 9], [2, 2], [3, 3], [5, 2]], 137/388800],
[[[1, 9], [2, 2], [3, 4], [7, 1]], 79/653184],
[[[1, 9], [2, 2], [3, 4], [9, 1]], 1/12960],
[[[1, 9], [2, 2], [3, 5], [4, 2]], 5/746496],
[[[1, 9], [2, 2], [3, 5], [5, 1]], 31/466560],
[[[1, 9], [2, 2], [3, 5], [6, 2]], 7/186624],
[[[1, 9], [2, 2], [3, 6], [4, 1]], 1/139968],
[[[1, 9], [2, 2], [3, 6], [6, 1]], 5/186624],
[[[1, 9], [2, 2], [4, 1], [5, 3]], 7/144000],
[[[1, 9], [2, 2], [4, 1], [7, 2]], 17/62720],
[[[1, 9], [2, 2], [5, 2], [7, 1]], 13/25200],
[[[1, 9], [2, 4], [3, 2], [4, 4]], 173/2654208],
[[[1, 9], [2, 4], [3, 2], [5, 2]], 43/138240],
[[[1, 9], [2, 4], [3, 3], [4, 3]], 325/1990656],
[[[1, 9], [2, 4], [3, 3], [6, 3]], 1/6912],
[[[1, 9], [2, 4], [3, 3], [7, 1]], 269/1741824],
[[[1, 9], [2, 4], [3, 3], [9, 1]], 13/165888],
[[[1, 9], [2, 4], [3, 4], [4, 2]], 403/2985984],
[[[1, 9], [2, 4], [3, 4], [5, 1]], 35/373248],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 17/38880],
[[[1, 9], [2, 4], [3, 5], [4, 1]], 1/23328],
[[[1, 9], [2, 4], [3, 5], [6, 1]], 77/559872],
[[[1, 9], [2, 4], [4, 2], [5, 2]], 1/3840],
[[[1, 9], [2, 4], [4, 2], [8, 2]], 307/10321920],
[[[1, 9], [2, 4], [4, 3], [7, 1]], 11/71680],
[[[1, 9], [2, 4], [4, 4], [5, 1]], 47/2949120],
[[[1, 9], [2, 4], [4, 4], [8, 1]], 1/32768],
[[[1, 9], [2, 4], [5, 2], [10, 1]], 1/28800],
[[[1, 9], [2, 4], [7, 1], [14, 1]], 23/1128960],
[[[1, 9], [2, 6], [3, 1], [4, 4]], 103/442368],
[[[1, 9], [2, 6], [3, 1], [5, 2]], 47/921600],
[[[1, 9], [2, 6], [3, 2], [4, 3]], 221/663552],
[[[1, 9], [2, 6], [3, 2], [7, 1]], 31/774144],
[[[1, 9], [2, 6], [3, 2], [9, 1]], 17/995328],
[[[1, 9], [2, 6], [3, 3], [4, 2]], 1255/7962624],
[[[1, 9], [2, 6], [3, 3], [5, 1]], 13/622080],
[[[1, 9], [2, 6], [3, 3], [6, 2]], 47/110592],
[[[1, 9], [2, 6], [3, 4], [4, 1]], 41/1492992],
[[[1, 9], [2, 6], [3, 4], [6, 1]], 353/3732480],
[[[1, 9], [2, 6], [4, 1], [5, 2]], 37/230400],
[[[1, 9], [2, 6], [4, 2], [7, 1]], 683/2064384],
[[[1, 9], [2, 6], [4, 3], [5, 1]], 469/1474560],
[[[1, 9], [2, 6], [4, 3], [8, 1]], 1469/2949120],
[[[1, 9], [2, 6], [5, 1], [7, 1]], 71/1290240],
[[[1, 9], [2, 8], [3, 1], [4, 3]], 319/1769472],
[[[1, 9], [2, 8], [3, 1], [7, 1]], 1/387072],
[[[1, 9], [2, 8], [3, 1], [9, 1]], 443/371589120],
[[[1, 9], [2, 8], [3, 2], [4, 2]], 31/589824],
[[[1, 9], [2, 8], [3, 2], [5, 1]], 1/1327104],
[[[1, 9], [2, 8], [3, 2], [6, 2]], 79/552960],
[[[1, 9], [2, 8], [3, 3], [4, 1]], 349/119439360],
[[[1, 9], [2, 8], [3, 3], [6, 1]], 1/46080],
[[[1, 9], [2, 8], [4, 1], [7, 1]], 11/368640],
[[[1, 9], [2, 8], [4, 1], [14, 1]], 79/10321920],
[[[1, 9], [2, 8], [4, 2], [5, 1]], 3353/29491200],
[[[1, 9], [2, 8], [4, 2], [8, 1]], 367/1474560],
[[[1, 9], [2, 8], [4, 2], [10, 1]], 743/29491200],
[[[1, 9], [2, 8], [4, 3], [6, 1]], 155/3538944],
[[[1, 9], [2, 8], [5, 1], [10, 1]], 1/27648],
[[[1, 9], [2, 8], [6, 1], [18, 1]], 163/371589120],
[[[1, 9], [2, 10], [3, 1], [4, 2]], 353/35389440],
[[[1, 9], [2, 10], [3, 1], [6, 2]], 1499/82575360],
[[[1, 9], [2, 10], [3, 2], [6, 1]], 149/49545216],
[[[1, 9], [2, 10], [4, 1], [5, 1]], 95/33030144],
[[[1, 9], [2, 10], [4, 1], [6, 2]], 209/26542080],
[[[1, 9], [2, 10], [4, 1], [8, 1]], 7279/495452160],
[[[1, 9], [2, 10], [4, 1], [10, 1]], 12959/825753600],
[[[1, 9], [2, 10], [4, 2], [6, 1]], 163/2949120],
[[[1, 9], [2, 10], [6, 1], [10, 1]], 311/206438400],
[[[1, 9], [2, 12], [3, 1], [6, 1]], 5437/825753600],
[[[1, 9], [2, 12], [4, 1], [6, 1]], 58757/2972712960],
[[[1, 9], [3, 1], [5, 2], [7, 1]], 1/7200],
[[[1, 9], [3, 1], [5, 2], [9, 1]], 1/64800],
[[[1, 9], [3, 2], [7, 1], [9, 1]], 1/90720],
[[[1, 9], [3, 3], [5, 1], [7, 1]], 1/7776],
[[[1, 9], [3, 3], [5, 1], [9, 1]], 1/32400],
[[[1, 10], [2, 1], [3, 1], [5, 3]], 1/9000],
[[[1, 10], [2, 1], [3, 1], [7, 2]], 11/105840],
[[[1, 10], [2, 1], [3, 3], [5, 2]], 1097/5832000],
[[[1, 10], [2, 1], [3, 4], [7, 1]], 131/1632960],
[[[1, 10], [2, 1], [3, 4], [9, 1]], 1/38880],
[[[1, 10], [2, 1], [3, 5], [5, 1]], 119/2332800],
[[[1, 10], [2, 1], [3, 6], [4, 1]], 1/279936],
[[[1, 10], [2, 1], [3, 6], [6, 1]], 5/559872],
[[[1, 10], [2, 1], [4, 1], [5, 3]], 1/144000],
[[[1, 10], [2, 1], [4, 1], [7, 2]], 1/31360],
[[[1, 10], [2, 1], [5, 2], [7, 1]], 1/5600],
[[[1, 10], [2, 3], [3, 2], [5, 2]], 833/1728000],
[[[1, 10], [2, 3], [3, 3], [4, 3]], 139/1990656],
[[[1, 10], [2, 3], [3, 3], [6, 3]], 1/41472],
[[[1, 10], [2, 3], [3, 3], [7, 1]], 17/69120],
[[[1, 10], [2, 3], [3, 3], [9, 1]], 13/207360],
[[[1, 10], [2, 3], [3, 4], [4, 2]], 223/1658880],
[[[1, 10], [2, 3], [3, 4], [5, 1]], 127/622080],
[[[1, 10], [2, 3], [3, 4], [6, 2]], 19/103680],
[[[1, 10], [2, 3], [3, 5], [4, 1]], 29/373248],
[[[1, 10], [2, 3], [3, 5], [6, 1]], 23/155520],
[[[1, 10], [2, 3], [4, 2], [5, 2]], 11/115200],
[[[1, 10], [2, 3], [4, 2], [8, 2]], 211/61931520],
[[[1, 10], [2, 3], [4, 3], [7, 1]], 17/860160],
[[[1, 10], [2, 3], [7, 1], [14, 1]], 37/20321280],
[[[1, 10], [2, 5], [3, 1], [4, 4]], 1331/13271040],
[[[1, 10], [2, 5], [3, 1], [5, 2]], 109/552960],
[[[1, 10], [2, 5], [3, 2], [4, 3]], 1237/3317760],
[[[1, 10], [2, 5], [3, 2], [7, 1]], 335/2322432],
[[[1, 10], [2, 5], [3, 2], [9, 1]], 47/1658880],
[[[1, 10], [2, 5], [3, 3], [4, 2]], 1493/3981312],
[[[1, 10], [2, 5], [3, 3], [5, 1]], 271/1866240],
[[[1, 10], [2, 5], [3, 3], [6, 2]], 457/1244160],
[[[1, 10], [2, 5], [3, 4], [4, 1]], 67/497664],
[[[1, 10], [2, 5], [3, 4], [6, 1]], 179/746496],
[[[1, 10], [2, 5], [4, 1], [5, 2]], 293/921600],
[[[1, 10], [2, 5], [4, 2], [7, 1]], 163/516096],
[[[1, 10], [2, 5], [4, 3], [5, 1]], 1469/7372800],
[[[1, 10], [2, 5], [4, 3], [8, 1]], 779/4128768],
[[[1, 10], [2, 5], [5, 1], [7, 1]], 53/430080],
[[[1, 10], [2, 7], [3, 1], [4, 3]], 367/1179648],
[[[1, 10], [2, 7], [3, 1], [7, 1]], 17/774144],
[[[1, 10], [2, 7], [3, 1], [9, 1]], 7/2654208],
[[[1, 10], [2, 7], [3, 2], [4, 2]], 103/442368],
[[[1, 10], [2, 7], [3, 2], [5, 1]], 43/1658880],
[[[1, 10], [2, 7], [3, 2], [6, 2]], 223/2211840],
[[[1, 10], [2, 7], [3, 3], [4, 1]], 6379/119439360],
[[[1, 10], [2, 7], [3, 3], [6, 1]], 247/2488320],
[[[1, 10], [2, 7], [4, 1], [7, 1]], 17/245760],
[[[1, 10], [2, 7], [4, 2], [5, 1]], 277/1179648],
[[[1, 10], [2, 7], [4, 2], [8, 1]], 871/5898240],
[[[1, 10], [2, 7], [5, 1], [10, 1]], 13/691200],
[[[1, 10], [2, 9], [3, 1], [4, 2]], 163/2949120],
[[[1, 10], [2, 9], [3, 1], [5, 1]], 311/206438400],
[[[1, 10], [2, 9], [3, 1], [6, 2]], 149/49545216],
[[[1, 10], [2, 9], [3, 2], [4, 1]], 209/26542080],
[[[1, 10], [2, 9], [3, 2], [6, 1]], 1499/82575360],
[[[1, 10], [2, 9], [4, 1], [5, 1]], 12959/825753600],
[[[1, 10], [2, 9], [4, 1], [8, 1]], 7279/495452160],
[[[1, 10], [2, 9], [4, 1], [10, 1]], 95/33030144],
[[[1, 10], [2, 9], [4, 2], [6, 1]], 353/35389440],
[[[1, 10], [2, 11], [3, 1], [4, 1]], 2701/2972712960],
[[[1, 10], [2, 11], [3, 1], [6, 1]], 391/70778880],
[[[1, 10], [2, 11], [4, 1], [6, 1]], 9323/1486356480],
[[[1, 11], [2, 2], [3, 2], [5, 2]], 10313/36288000],
[[[1, 11], [2, 2], [3, 3], [7, 1]], 2033/13063680],
[[[1, 11], [2, 2], [3, 3], [9, 1]], 41/1935360],
[[[1, 11], [2, 2], [3, 4], [4, 2]], 577/14929920],
[[[1, 11], [2, 2], [3, 4], [5, 1]], 1519/9331200],
[[[1, 11], [2, 2], [3, 4], [6, 2]], 17/622080],
[[[1, 11], [2, 2], [3, 5], [4, 1]], 47/933120],
[[[1, 11], [2, 2], [3, 5], [6, 1]], 61/933120],
[[[1, 11], [2, 2], [4, 2], [5, 2]], 1/92160],
[[[1, 11], [2, 2], [4, 2], [8, 2]], 1/8847360],
[[[1, 11], [2, 2], [7, 1], [14, 1]], 1/20321280],
[[[1, 11], [2, 4], [3, 1], [4, 4]], 659/53084160],
[[[1, 11], [2, 4], [3, 1], [5, 2]], 1229/4608000],
[[[1, 11], [2, 4], [3, 2], [4, 3]], 527/3317760],
[[[1, 11], [2, 4], [3, 2], [7, 1]], 2213/11612160],
[[[1, 11], [2, 4], [3, 2], [9, 1]], 11/552960],
[[[1, 11], [2, 4], [3, 3], [4, 2]], 19871/59719680],
[[[1, 11], [2, 4], [3, 3], [5, 1]], 157/583200],
[[[1, 11], [2, 4], [3, 3], [6, 2]], 5657/34836480],
[[[1, 11], [2, 4], [3, 4], [4, 1]], 517/2488320],
[[[1, 11], [2, 4], [3, 4], [6, 1]], 1373/5598720],
[[[1, 11], [2, 4], [4, 1], [5, 2]], 19/72000],
[[[1, 11], [2, 4], [4, 2], [7, 1]], 10789/72253440],
[[[1, 11], [2, 4], [4, 3], [5, 1]], 1811/34406400],
[[[1, 11], [2, 4], [4, 3], [8, 1]], 1883/53084160],
[[[1, 11], [2, 4], [5, 1], [7, 1]], 2243/19353600],
[[[1, 11], [2, 6], [3, 1], [4, 3]], 3659/13271040],
[[[1, 11], [2, 6], [3, 1], [7, 1]], 71/1290240],
[[[1, 11], [2, 6], [3, 1], [9, 1]], 137/39813120],
[[[1, 11], [2, 6], [3, 2], [4, 2]], 10571/26542080],
[[[1, 11], [2, 6], [3, 2], [5, 1]], 121/1105920],
[[[1, 11], [2, 6], [3, 2], [6, 2]], 223/3096576],
[[[1, 11], [2, 6], [3, 3], [4, 1]], 4303/23887872],
[[[1, 11], [2, 6], [3, 3], [6, 1]], 919/4976640],
[[[1, 11], [2, 6], [4, 1], [7, 1]], 121/1290240],
[[[1, 11], [2, 6], [4, 2], [5, 1]], 23357/88473600],
[[[1, 11], [2, 6], [4, 2], [8, 1]], 10013/123863040],
[[[1, 11], [2, 6], [5, 1], [10, 1]], 23/4838400],
[[[1, 11], [2, 8], [3, 1], [4, 2]], 2369/17694720],
[[[1, 11], [2, 8], [3, 1], [5, 1]], 24359/1857945600],
[[[1, 11], [2, 8], [3, 2], [4, 1]], 1943/39813120],
[[[1, 11], [2, 8], [3, 2], [6, 1]], 397/8847360],
[[[1, 11], [2, 8], [4, 1], [5, 1]], 3853/88473600],
[[[1, 11], [2, 8], [4, 1], [8, 1]], 137/11796480],
[[[1, 11], [2, 10], [3, 1], [4, 1]], 9323/1486356480],
[[[1, 11], [2, 10], [3, 1], [6, 1]], 391/70778880],
[[[1, 11], [2, 10], [4, 1], [6, 1]], 2701/2972712960],
[[[1, 11], [3, 1], [7, 1], [9, 1]], 1/10160640],
[[[1, 11], [3, 2], [5, 1], [7, 1]], 17/362880],
[[[1, 11], [3, 2], [5, 1], [9, 1]], 19/7257600],
[[[1, 12], [2, 1], [3, 2], [5, 2]], 44407/653184000],
[[[1, 12], [2, 1], [3, 3], [7, 1]], 1417/36578304],
[[[1, 12], [2, 1], [3, 3], [9, 1]], 41/14515200],
[[[1, 12], [2, 1], [3, 4], [5, 1]], 187/3628800],
[[[1, 12], [2, 1], [3, 5], [4, 1]], 19/1866240],
[[[1, 12], [2, 1], [3, 5], [6, 1]], 53/5598720],
[[[1, 12], [2, 3], [3, 1], [5, 2]], 15403/96768000],
[[[1, 12], [2, 3], [3, 2], [4, 3]], 23/1327104],
[[[1, 12], [2, 3], [3, 2], [7, 1]], 1819/16257024],
[[[1, 12], [2, 3], [3, 2], [9, 1]], 689/104509440],
[[[1, 12], [2, 3], [3, 3], [4, 2]], 30637/278691840],
[[[1, 12], [2, 3], [3, 3], [5, 1]], 6767/32659200],
[[[1, 12], [2, 3], [3, 3], [6, 2]], 187/5806080],
[[[1, 12], [2, 3], [3, 4], [4, 1]], 109/829440],
[[[1, 12], [2, 3], [3, 4], [6, 1]], 1483/13063680],
[[[1, 12], [2, 3], [4, 1], [5, 2]], 1927/19353600],
[[[1, 12], [2, 3], [4, 2], [7, 1]], 9127/325140480],
[[[1, 12], [2, 3], [4, 3], [5, 1]], 53/11468800],
[[[1, 12], [2, 3], [4, 3], [8, 1]], 181/74317824],
[[[1, 12], [2, 3], [5, 1], [7, 1]], 6763/135475200],
[[[1, 12], [2, 5], [3, 1], [4, 3]], 45233/371589120],
[[[1, 12], [2, 5], [3, 1], [7, 1]], 701/11612160],
[[[1, 12], [2, 5], [3, 1], [9, 1]], 397/185794560],
[[[1, 12], [2, 5], [3, 2], [4, 2]], 7291/23224320],
[[[1, 12], [2, 5], [3, 2], [5, 1]], 421/2488320],
[[[1, 12], [2, 5], [3, 2], [6, 2]], 2533/83607552],
[[[1, 12], [2, 5], [3, 3], [4, 1]], 5653/23887872],
[[[1, 12], [2, 5], [3, 3], [6, 1]], 1175/6967296],
[[[1, 12], [2, 5], [4, 1], [7, 1]], 223/3386880],
[[[1, 12], [2, 5], [4, 2], [5, 1]], 97721/619315200],
[[[1, 12], [2, 5], [4, 2], [8, 1]], 3403/123863040],
[[[1, 12], [2, 5], [5, 1], [10, 1]], 37/87091200],
[[[1, 12], [2, 7], [3, 1], [4, 2]], 259/1474560],
[[[1, 12], [2, 7], [3, 1], [5, 1]], 2491/66355200],
[[[1, 12], [2, 7], [3, 2], [4, 1]], 1151/9953280],
[[[1, 12], [2, 7], [3, 2], [6, 1]], 24689/398131200],
[[[1, 12], [2, 7], [4, 1], [5, 1]], 1999/29491200],
[[[1, 12], [2, 7], [4, 1], [8, 1]], 1973/247726080],
[[[1, 12], [2, 9], [3, 1], [4, 1]], 58757/2972712960],
[[[1, 12], [2, 9], [3, 1], [6, 1]], 5437/825753600],
[[[1, 13], [2, 2], [3, 1], [5, 2]], 1127/24883200],
[[[1, 13], [2, 2], [3, 2], [7, 1]], 110197/3657830400],
[[[1, 13], [2, 2], [3, 2], [9, 1]], 181/174182400],
[[[1, 13], [2, 2], [3, 3], [4, 2]], 8387/836075520],
[[[1, 13], [2, 2], [3, 3], [5, 1]], 14279/195955200],
[[[1, 13], [2, 2], [3, 3], [6, 2]], 71/34836480],
[[[1, 13], [2, 2], [3, 4], [4, 1]], 871/26127360],
[[[1, 13], [2, 2], [3, 4], [6, 1]], 2927/130636800],
[[[1, 13], [2, 2], [4, 1], [5, 2]], 407/24192000],
[[[1, 13], [2, 2], [4, 2], [7, 1]], 1163/650280960],
[[[1, 13], [2, 2], [5, 1], [7, 1]], 4087/406425600],
[[[1, 13], [2, 4], [3, 1], [4, 3]], 61301/2786918400],
[[[1, 13], [2, 4], [3, 1], [7, 1]], 377/11612160],
[[[1, 13], [2, 4], [3, 1], [9, 1]], 383/557383680],
[[[1, 13], [2, 4], [3, 2], [4, 2]], 187003/1672151040],
[[[1, 13], [2, 4], [3, 2], [5, 1]], 2123/17418240],
[[[1, 13], [2, 4], [3, 2], [6, 2]], 527/83607552],
[[[1, 13], [2, 4], [3, 3], [4, 1]], 119209/836075520],
[[[1, 13], [2, 4], [3, 3], [6, 1]], 12109/156764160],
[[[1, 13], [2, 4], [4, 1], [7, 1]], 3659/162570240],
[[[1, 13], [2, 4], [4, 2], [5, 1]], 17081/371589120],
[[[1, 13], [2, 4], [4, 2], [8, 1]], 8959/1857945600],
[[[1, 13], [2, 4], [5, 1], [10, 1]], 1/87091200],
[[[1, 13], [2, 6], [3, 1], [4, 2]], 23293/185794560],
[[[1, 13], [2, 6], [3, 1], [5, 1]], 22549/464486400],
[[[1, 13], [2, 6], [3, 2], [4, 1]], 36161/278691840],
[[[1, 13], [2, 6], [3, 2], [6, 1]], 275171/5573836800],
[[[1, 13], [2, 6], [4, 1], [5, 1]], 23657/412876800],
[[[1, 13], [2, 6], [4, 1], [8, 1]], 2411/637009920],
[[[1, 13], [2, 8], [3, 1], [4, 1]], 27377/796262400],
[[[1, 13], [2, 8], [3, 1], [6, 1]], 559/77414400],
[[[1, 13], [3, 1], [5, 1], [7, 1]], 953/304819200],
[[[1, 13], [3, 1], [5, 1], [9, 1]], 1/43545600],
[[[1, 14], [2, 1], [3, 1], [5, 2]], 15403/2612736000],
[[[1, 14], [2, 1], [3, 2], [7, 1]], 12647/3657830400],
[[[1, 14], [2, 1], [3, 2], [9, 1]], 13/174182400],
[[[1, 14], [2, 1], [3, 3], [5, 1]], 10919/979776000],
[[[1, 14], [2, 1], [3, 4], [4, 1]], 11/4354560],
[[[1, 14], [2, 1], [3, 4], [6, 1]], 551/391910400],
[[[1, 14], [2, 1], [4, 1], [5, 2]], 11/10752000],
[[[1, 14], [2, 1], [5, 1], [7, 1]], 1069/1219276800],
[[[1, 14], [2, 3], [3, 1], [4, 3]], 7537/5573836800],
[[[1, 14], [2, 3], [3, 1], [7, 1]], 10853/1219276800],
[[[1, 14], [2, 3], [3, 1], [9, 1]], 493/4180377600],
[[[1, 14], [2, 3], [3, 2], [4, 2]], 11677/696729600],
[[[1, 14], [2, 3], [3, 2], [5, 1]], 116269/2612736000],
[[[1, 14], [2, 3], [3, 2], [6, 2]], 79/139345920],
[[[1, 14], [2, 3], [3, 3], [4, 1]], 506473/12541132800],
[[[1, 14], [2, 3], [3, 3], [6, 1]], 13/746496],
[[[1, 14], [2, 3], [4, 1], [7, 1]], 289/77414400],
[[[1, 14], [2, 3], [4, 2], [5, 1]], 34387/5573836800],
[[[1, 14], [2, 3], [4, 2], [8, 1]], 2141/5573836800],
[[[1, 14], [2, 5], [3, 1], [4, 2]], 42913/928972800],
[[[1, 14], [2, 5], [3, 1], [5, 1]], 53789/1672151040],
[[[1, 14], [2, 5], [3, 2], [4, 1]], 61853/836075520],
[[[1, 14], [2, 5], [3, 2], [6, 1]], 361153/16721510400],
[[[1, 14], [2, 5], [4, 1], [5, 1]], 31891/1238630400],
[[[1, 14], [2, 5], [4, 1], [8, 1]], 907/825753600],
[[[1, 14], [2, 7], [3, 1], [4, 1]], 740351/22295347200],
[[[1, 14], [2, 7], [3, 1], [6, 1]], 24217/4777574400],
[[[1, 15], [2, 2], [3, 1], [7, 1]], 899/731566080],
[[[1, 15], [2, 2], [3, 1], [9, 1]], 1/92897280],
[[[1, 15], [2, 2], [3, 2], [4, 2]], 7279/8360755200],
[[[1, 15], [2, 2], [3, 2], [5, 1]], 43223/5225472000],
[[[1, 15], [2, 2], [3, 2], [6, 2]], 1/59719680],
[[[1, 15], [2, 2], [3, 3], [4, 1]], 63017/12541132800],
[[[1, 15], [2, 2], [3, 3], [6, 1]], 133/74649600],
[[[1, 15], [2, 2], [4, 1], [7, 1]], 43/152409600],
[[[1, 15], [2, 2], [4, 2], [5, 1]], 341/1114767360],
[[[1, 15], [2, 2], [4, 2], [8, 1]], 59/5573836800],
[[[1, 15], [2, 4], [3, 1], [4, 2]], 28871/3344302080],
[[[1, 15], [2, 4], [3, 1], [5, 1]], 488077/41803776000],
[[[1, 15], [2, 4], [3, 2], [4, 1]], 92513/4180377600],
[[[1, 15], [2, 4], [3, 2], [6, 1]], 128323/25082265600],
[[[1, 15], [2, 4], [4, 1], [5, 1]], 174467/27869184000],
[[[1, 15], [2, 4], [4, 1], [8, 1]], 221/1238630400],
[[[1, 15], [2, 6], [3, 1], [4, 1]], 594497/33443020800],
[[[1, 15], [2, 6], [3, 1], [6, 1]], 8767/4180377600],
[[[1, 16], [2, 1], [3, 1], [7, 1]], 293/3657830400],
[[[1, 16], [2, 1], [3, 1], [9, 1]], 19/39016857600],
[[[1, 16], [2, 1], [3, 2], [5, 1]], 239/326592000],
[[[1, 16], [2, 1], [3, 3], [4, 1]], 397/1791590400],
[[[1, 16], [2, 1], [3, 3], [6, 1]], 103/1567641600],
[[[1, 16], [2, 1], [4, 1], [7, 1]], 73/9754214400],
[[[1, 16], [2, 3], [3, 1], [4, 2]], 1/1290240],
[[[1, 16], [2, 3], [3, 1], [5, 1]], 1831/774144000],
[[[1, 16], [2, 3], [3, 2], [4, 1]], 3601/1045094400],
[[[1, 16], [2, 3], [3, 2], [6, 1]], 593/928972800],
[[[1, 16], [2, 3], [4, 1], [5, 1]], 4519/5573836800],
[[[1, 16], [2, 3], [4, 1], [8, 1]], 733/46820229120],
[[[1, 16], [2, 5], [3, 1], [4, 1]], 4819/891813888],
[[[1, 16], [2, 5], [3, 1], [6, 1]], 16897/33443020800],
[[[1, 17], [2, 2], [3, 1], [4, 2]], 883/33443020800],
[[[1, 17], [2, 2], [3, 1], [5, 1]], 1531/5852528640],
[[[1, 17], [2, 2], [3, 2], [4, 1]], 5477/20901888000],
[[[1, 17], [2, 2], [3, 2], [6, 1]], 9073/234101145600],
[[[1, 17], [2, 2], [4, 1], [5, 1]], 120269/2341011456000],
[[[1, 17], [2, 2], [4, 1], [8, 1]], 643/936404582400],
[[[1, 17], [2, 4], [3, 1], [4, 1]], 749/796262400],
[[[1, 17], [2, 4], [3, 1], [6, 1]], 3091/43893964800],
[[[1, 18], [2, 1], [3, 1], [5, 1]], 2831/195084288000],
[[[1, 18], [2, 1], [3, 2], [4, 1]], 319/41803776000],
[[[1, 18], [2, 1], [3, 2], [6, 1]], 619/702303436800],
[[[1, 18], [2, 1], [4, 1], [5, 1]], 2837/2341011456000],
[[[1, 18], [2, 1], [4, 1], [8, 1]], 11/936404582400],
[[[1, 18], [2, 3], [3, 1], [4, 1]], 143053/1560674304000],
[[[1, 18], [2, 3], [3, 1], [6, 1]], 2581/468202291200],
[[[1, 19], [2, 2], [3, 1], [4, 1]], 10741/2341011456000],
[[[1, 19], [2, 2], [3, 1], [6, 1]], 13/58525286400],
[[[1, 20], [2, 1], [3, 1], [4, 1]], 47/520224768000],
[[[1, 20], [2, 1], [3, 1], [6, 1]], 1/280921374720],
[[[2, 5], [6, 1], [14, 2], [18, 1]], 1/3528],
[[[2, 5], [6, 3], [10, 2], [18, 1]], 1/16200],
[[[2, 7], [6, 1], [10, 1], [14, 2]], 1/2940],
[[[2, 7], [6, 2], [10, 2], [14, 1]], 1/5040],
[[[2, 7], [6, 2], [10, 2], [18, 1]], 1/16200],
[[[2, 7], [6, 3], [14, 1], [18, 1]], 1/9072],
[[[2, 7], [6, 4], [10, 1], [14, 1]], 1/68040],
[[[2, 7], [6, 4], [10, 1], [18, 1]], 1/19440],
[[[2, 9], [6, 1], [10, 2], [14, 1]], 1/7200],
[[[2, 9], [6, 1], [10, 2], [18, 1]], 1/64800],
[[[2, 9], [6, 2], [14, 1], [18, 1]], 1/90720],
[[[2, 9], [6, 3], [10, 1], [14, 1]], 1/7776],
[[[2, 9], [6, 3], [10, 1], [18, 1]], 1/32400],
[[[2, 11], [6, 1], [14, 1], [18, 1]], 1/10160640],
[[[2, 11], [6, 2], [10, 1], [14, 1]], 17/362880],
[[[2, 11], [6, 2], [10, 1], [18, 1]], 19/7257600],
[[[2, 13], [6, 1], [10, 1], [14, 1]], 953/304819200],
[[[2, 13], [6, 1], [10, 1], [18, 1]], 1/43545600],
[[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/3528],
[[[1, 1], [2, 4], [6, 3], [10, 2], [18, 1]], 1/16200],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 1/32400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 1/1568],
[[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/1960],
[[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 1/4200],
[[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 1/4050],
[[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 1/4536],
[[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 1/68040],
[[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 1/9720],
[[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/3528],
[[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 1/7200],
[[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 1/13608],
[[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 1/15552],
[[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 1/29160],
[[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 1/36000],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 1/3136],
[[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 1/7200],
[[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1/54432],
[[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1/15552],
[[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 1/186624],
[[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 1/116640],
[[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 1/16800],
[[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 11/16800],
[[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 7/64800],
[[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 11/90720],
[[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 19/54432],
[[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 1/5400],
[[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 7/86400],
[[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 37/362880],
[[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 1/155520],
[[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 49/583200],
[[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 31/288000],
[[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 7/62208],
[[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 1/69120],
[[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 77/3732480],
[[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 151/1866240],
[[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 1/38400],
[[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/23224320],
[[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 29/10160640],
[[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 169/453600],
[[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 271/7257600],
[[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 1/103680],
[[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 169/20321280],
[[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 1/17418240],
[[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 1079/43545600],
[[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 341/16128000],
[[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 59/2903040],
[[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 1/1161216],
[[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 757/209018880],
[[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 169/4665600],
[[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 29/162570240],
[[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 89/7526400],
[[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 7951/152409600],
[[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 1/1360800],
[[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 17/243855360],
[[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 197/130636800],
[[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 149/152409600],
[[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 1/139345920],
[[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 401/2090188800],
[[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 23141/5225472000],
[[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 7/199065600],
[[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/83607552],
[[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 23/8360755200],
[[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 1777/10450944000],
[[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 1/256],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 1/7056],
[[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1/32400],
[[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 1/36000],
[[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 3/3136],
[[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 1/7840],
[[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 1/27648],
[[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 1/1024],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/5880],
[[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 1/25200],
[[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 1/5400],
[[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 1/9072],
[[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 1/19440],
[[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 13/14112],
[[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 1/2700],
[[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 1/6804],
[[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 1/5184],
[[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 1/14580],
[[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 1/6048],
[[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 1/10368],
[[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 1/12960],
[[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1/9000],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 1/1568],
[[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 1/5400],
[[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 1/54432],
[[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 1/7776],
[[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 1/93312],
[[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 1/116640],
[[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1/4200],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 1/6144],
[[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 7/57600],
[[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 1/145152],
[[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 5/41472],
[[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 1/62208],
[[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 1/311040],
[[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 1/19200],
[[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 1/30720],
[[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 11/61440],
[[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 1/1440],
[[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 1/4320],
[[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 1/6048],
[[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 5/18144],
[[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 23/90720],
[[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 1/23328],
[[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 7/14400],
[[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 13/25920],
[[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 1/12960],
[[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 209/583200],
[[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 1/6912],
[[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 7/51840],
[[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 161/288000],
[[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 163/435456],
[[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 7/51840],
[[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 307/3732480],
[[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 421/1866240],
[[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 37/23224320],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 1/73728],
[[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 19/230400],
[[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 47/193536],
[[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 11/414720],
[[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 67/497664],
[[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 7/38880],
[[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 17/215040],
[[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 3/35840],
[[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 1/120960],
[[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 17/725760],
[[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 4/4725],
[[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 83/518400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 121/1866240],
[[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 53/518400],
[[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 2381/20321280],
[[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 1/580608],
[[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 10459/43545600],
[[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 11/414720],
[[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 3449/16128000],
[[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 659/2903040],
[[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 89/5806080],
[[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 9857/209018880],
[[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 701/2332800],
[[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 433/81285120],
[[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 3263/22579200],
[[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 41/967680],
[[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 71/46448640],
[[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 43/1658880],
[[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 679/8294400],
[[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 407/25804800],
[[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 1903/6773760],
[[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 13/1741824],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 73/6967296],
[[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 547/243855360],
[[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 913/32659200],
[[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 12161/609638400],
[[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 1/3981312],
[[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 1187/261273600],
[[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 26059/373248000],
[[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 1627/1393459200],
[[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 1867/1393459200],
[[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 6673/696729600],
[[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 1949/4180377600],
[[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 227/522547200],
[[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 29/261273600],
[[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 44923/10450944000],
[[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 29/8360755200],
[[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 1/256],
[[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 1/3136],
[[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 1/27648],
[[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 3/7168],
[[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 5/3584],
[[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 3/10240],
[[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 1/1024],
[[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 3/10240],
[[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/1176],
[[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 1/4320],
[[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 1/13608],
[[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 1/5184],
[[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 1/29160],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 1/46656],
[[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 1/3024],
[[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 1/6480],
[[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 1/12000],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 1/3136],
[[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 1/21600],
[[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 1/15552],
[[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1/186624],
[[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 1/2304],
[[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 7/57600],
[[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 1/145152],
[[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 1/6912],
[[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 1/62208],
[[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 1/311040],
[[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 1/4800],
[[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 11/30720],
[[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 53/61440],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 7/12288],
[[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 1/38400],
[[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 5/165888],
[[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 9/14336],
[[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 1/5600],
[[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 1/7200],
[[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 1/1512],
[[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 1/6048],
[[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 1/30240],
[[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 1/960],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 1/11664],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 1/15552],
[[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 37/43200],
[[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 1/1296],
[[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 1/4320],
[[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 7/14580],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 1/7776],
[[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 1/1512],
[[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 29/51840],
[[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 13/19200],
[[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 17/48384],
[[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 1/3456],
[[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 79/746496],
[[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 107/622080],
[[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 1/26880],
[[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 1/1920],
[[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 23/1290240],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 1/6144],
[[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 17/46080],
[[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 101/193536],
[[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 1/5120],
[[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 181/497664],
[[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 49/155520],
[[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 11/17920],
[[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 47/107520],
[[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 1/5376],
[[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 1/110592],
[[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 35/110592],
[[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 1/6144],
[[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 1/8192],
[[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 1/7560],
[[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 1/16128],
[[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 1/1512],
[[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 1/3840],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 313/933120],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 29/207360],
[[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 1/2700],
[[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 689/1451520],
[[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 89/5806080],
[[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 461/622080],
[[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 61/622080],
[[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 91/414720],
[[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 797/1152000],
[[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 11/16128],
[[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 37/414720],
[[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 493/2985984],
[[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 137/194400],
[[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 167/3612672],
[[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 919/1612800],
[[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 73/193536],
[[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 313/15482880],
[[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 221/829440],
[[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 1141/2073600],
[[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 4523/25804800],
[[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 119/2211840],
[[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 19/307200],
[[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 743/1209600],
[[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 1/32400],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 941/6967296],
[[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 2059/92897280],
[[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 1105/48771072],
[[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 23129/130636800],
[[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 41/5225472],
[[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 1/29030400],
[[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 209/1505280],
[[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 83/27869184],
[[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 2191/59719680],
[[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 42887/116121600],
[[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 167/13271040],
[[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 17831/696729600],
[[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 17369/139345920],
[[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 43543/4180377600],
[[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 95/111476736],
[[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 5681/1045094400],
[[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 6763/4180377600],
[[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 140057/3483648000],
[[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 23/167215104],
[[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/3528],
[[[1, 4], [2, 1], [3, 3], [5, 2], [9, 1]], 1/16200],
[[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 1/27648],
[[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 1/3136],
[[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 5/3584],
[[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 3/7168],
[[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 3/10240],
[[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 1/1024],
[[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 3/10240],
[[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1/4096],
[[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 11/221184],
[[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/4704],
[[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 1/15552],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 1/46656],
[[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 1/6048],
[[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 7/10368],
[[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 1/12960],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 1/5184],
[[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 5/10368],
[[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 1/5184],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 3/20480],
[[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 1/1600],
[[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 1/1600],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 5/18432],
[[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 1/41472],
[[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 1/896],
[[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 1/6400],
[[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 17/20480],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 5/6144],
[[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 1/38400],
[[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 1/13824],
[[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 5/165888],
[[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 5/14336],
[[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 1/1024],
[[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 1/17920],
[[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 1/4096],
[[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 11/221184],
[[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 1/4096],
[[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 1/2240],
[[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 3/2240],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 1/23328],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 7/62208],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 1/27648],
[[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 7/14400],
[[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 5/12096],
[[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 1/3888],
[[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 1/4860],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 5/15552],
[[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 5/27648],
[[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 29/24192],
[[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 49/51840],
[[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 1/10368],
[[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 7/9600],
[[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 13/57600],
[[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 13/145152],
[[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 1/5184],
[[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 11/248832],
[[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 17/622080],
[[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 11/26880],
[[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 13/184320],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 1/2304],
[[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 1/3072],
[[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 19/64512],
[[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 23/82944],
[[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 53/165888],
[[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 7/51840],
[[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 17/10752],
[[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 53/107520],
[[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 1/3584],
[[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 7/110592],
[[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 17/27648],
[[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 1/5120],
[[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 27/40960],
[[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 3/8192],
[[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 29/368640],
[[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 1/3600],
[[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 1/38880],
[[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 5/96768],
[[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 17/120960],
[[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 29/207360],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 25/46656],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 119/207360],
[[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 23/221184],
[[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 1/1800],
[[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 367/483840],
[[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 31/622080],
[[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 191/207360],
[[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 79/155520],
[[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 29/552960],
[[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 13/20736],
[[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 21/25600],
[[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 1/1344],
[[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 1/5120],
[[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 73/331776],
[[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 91/155520],
[[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 89/645120],
[[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 31/35840],
[[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 1/38400],
[[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 263/322560],
[[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 287/3317760],
[[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 209/276480],
[[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 127/138240],
[[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 413/614400],
[[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 251/552960],
[[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 109/307200],
[[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 1/25920],
[[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 529/967680],
[[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 23/414720],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1327/2488320],
[[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 21631/92897280],
[[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 23/2211840],
[[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 829/9031680],
[[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 11/22400],
[[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 589/6531840],
[[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 37/29030400],
[[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 11/27648],
[[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 143/9289728],
[[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 11/90720],
[[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 3353/4147200],
[[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 8801/154828800],
[[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 5161/30965760],
[[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 4087/7741440],
[[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 1/518400],
[[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 345479/4180377600],
[[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 2077/139345920],
[[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 2687/87091200],
[[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 7603/696729600],
[[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 122443/696729600],
[[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 257/130636800],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/5880],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 1/36000],
[[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 1/25200],
[[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 1/5400],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 1/27648],
[[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 1/9072],
[[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 1/9072],
[[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 1/19440],
[[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1/32400],
[[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 1/7840],
[[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 3/3136],
[[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 1/1024],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 1/38400],
[[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 5/6144],
[[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 11/221184],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/4704],
[[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 5/18432],
[[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 5/10368],
[[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 1/2016],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 1/5184],
[[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 1/41472],
[[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 5/165888],
[[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 1/6048],
[[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 7/10368],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 1/5184],
[[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 1/12960],
[[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 1/15552],
[[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 1/46656],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 17/20480],
[[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 1/1600],
[[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 1/6400],
[[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 1/1600],
[[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 1/896],
[[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 3/20480],
[[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1/4096],
[[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 1/1024],
[[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 5/14336],
[[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 1/4096],
[[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 11/221184],
[[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 1/4096],
[[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 3/2240],
[[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 1/2240],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 1/20736],
[[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 1/24576],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 1/27648],
[[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 19/110592],
[[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 11/442368],
[[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 5/24576],
[[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 1/28800],
[[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 1/24192],
[[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 1/10368],
[[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 1/5184],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 1/1536],
[[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 1/4608],
[[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 11/442368],
[[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 5/16128],
[[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 1/1008],
[[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 1/1920],
[[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 7/10368],
[[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 13/27648],
[[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 11/9600],
[[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 1/1920],
[[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 1/41472],
[[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 1/672],
[[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 1/12800],
[[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 5/36864],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 1/3072],
[[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 1/25600],
[[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 1/64512],
[[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 1/9216],
[[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 5/55296],
[[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 9/14336],
[[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 3/1792],
[[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 1/7168],
[[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 23/40960],
[[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 1/1280],
[[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 1/10752],
[[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 25/110592],
[[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 11/36864],
[[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 1/30720],
[[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 9/8192],
[[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 7/12288],
[[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 29/368640],
[[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 1/3600],
[[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1/38880],
[[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 1/96768],
[[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 1/207360],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 61/186624],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 7/9216],
[[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 113/221184],
[[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 29/884736],
[[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 19/57600],
[[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 31/64512],
[[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 11/165888],
[[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 35/82944],
[[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 41/41472],
[[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 73/184320],
[[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 1/1152],
[[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 31/92160],
[[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 55/193536],
[[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 1/6144],
[[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 25/221184],
[[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 1/6912],
[[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 125/516096],
[[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 37/71680],
[[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 11/38400],
[[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 13/21504],
[[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 29/221184],
[[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 49/55296],
[[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 17/34560],
[[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 149/122880],
[[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 11/9216],
[[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 97/184320],
[[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 1/6480],
[[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 3/17920],
[[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 1/25920],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 2207/2488320],
[[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 1621/2211840],
[[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 23/221184],
[[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 641/3870720],
[[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 1301/2073600],
[[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 1969/5806080],
[[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 37/1612800],
[[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 479/967680],
[[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 239/6635520],
[[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 83/442368],
[[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 827/1105920],
[[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 2789/22118400],
[[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 103/221184],
[[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 4793/5529600],
[[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 1/32400],
[[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 81439/278691840],
[[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 17209/185794560],
[[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 5051/58060800],
[[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 113/3096576],
[[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 5857/15482880],
[[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 55591/4180377600],
[[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/1960],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 1/36000],
[[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 1/4200],
[[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 1/4050],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/7056],
[[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 1/4536],
[[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 1/68040],
[[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 1/9720],
[[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 1/32400],
[[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/7840],
[[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 1/1568],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 1/12000],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 1/3136],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 1/38400],
[[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 7/12288],
[[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 1/5600],
[[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 1/7200],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/1176],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 7/57600],
[[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 1/6048],
[[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 1/1512],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 1/21600],
[[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 1/145152],
[[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 5/165888],
[[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 1/30240],
[[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 1/6480],
[[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 1/3024],
[[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 1/15552],
[[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 1/311040],
[[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 1/62208],
[[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 1/6480],
[[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 1/13608],
[[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 1/5184],
[[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 1/46656],
[[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1/186624],
[[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 1/29160],
[[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 1/5600],
[[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 53/61440],
[[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 1/4800],
[[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 11/30720],
[[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1/17920],
[[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 9/14336],
[[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 1/960],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 1/25600],
[[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 1/3072],
[[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 1/10752],
[[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 25/110592],
[[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 29/368640],
[[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 11/442368],
[[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 7/12288],
[[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 1/3600],
[[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 1/96768],
[[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 13/27648],
[[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 1/64512],
[[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 1/9216],
[[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 1/30720],
[[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 1/4608],
[[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 11/36864],
[[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 11/442368],
[[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 1/207360],
[[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 1/28800],
[[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 1/1008],
[[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 5/16128],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 7/10368],
[[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 1/41472],
[[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 1/1536],
[[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 5/55296],
[[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 1/1920],
[[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1/38880],
[[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 1/24192],
[[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 1/10368],
[[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 1/5184],
[[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 1/20736],
[[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 1/1920],
[[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 1/12800],
[[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 11/9600],
[[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 1/672],
[[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 5/36864],
[[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 1/7168],
[[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 1/24576],
[[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 3/1792],
[[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 9/14336],
[[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 9/8192],
[[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 1/1280],
[[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 19/110592],
[[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 23/40960],
[[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 5/24576],
[[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 23/373248],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 1/3072],
[[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 13/147456],
[[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 163/221184],
[[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 59/147456],
[[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 419/884736],
[[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 1/19200],
[[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 17/193536],
[[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 31/414720],
[[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 11/414720],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 7/6912],
[[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 25/13824],
[[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 73/221184],
[[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 1/9216],
[[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 37/829440],
[[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 5/9216],
[[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 1/2304],
[[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 7/460800],
[[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 1/64512],
[[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 7/165888],
[[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 29/1990656],
[[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 17/172032],
[[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 1/4096],
[[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 19/215040],
[[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 71/245760],
[[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 1/768],
[[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 1/8064],
[[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 67/442368],
[[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 41/110592],
[[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 23/552960],
[[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 81/81920],
[[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 11/9216],
[[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 43/184320],
[[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 1/322560],
[[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 1/138240],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 695/995328],
[[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 485/442368],
[[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 421/1105920],
[[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 611/3870720],
[[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 187/518400],
[[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 191/276480],
[[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 7/46080],
[[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 11/43008],
[[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 49/1327104],
[[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 25/165888],
[[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 47/184320],
[[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 257/1474560],
[[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 607/884736],
[[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 1343/2211840],
[[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 4067/7962624],
[[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 2017/7741440],
[[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 209/1658880],
[[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 223/3317760],
[[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 481/1228800],
[[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 38687/836075520],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1/9000],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 1/1568],
[[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 1/1440],
[[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 1/4320],
[[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 13/14112],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 7/57600],
[[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 1/6144],
[[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 5/18144],
[[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 1/6048],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 1/5400],
[[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 1/145152],
[[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 5/41472],
[[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 23/90720],
[[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 1/3240],
[[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 1/2700],
[[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 1/6048],
[[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 1/10368],
[[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 1/54432],
[[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 1/7776],
[[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 1/311040],
[[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 1/62208],
[[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 1/12960],
[[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 1/6804],
[[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 1/5184],
[[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 1/116640],
[[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 1/93312],
[[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 1/14580],
[[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1/4200],
[[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 11/61440],
[[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 1/19200],
[[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 1/30720],
[[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 1/6720],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 1/3072],
[[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 1/2304],
[[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 1/3584],
[[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 7/110592],
[[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 29/368640],
[[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 3/8192],
[[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 1/3600],
[[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 5/96768],
[[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 13/57600],
[[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 19/64512],
[[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 23/82944],
[[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 1/5120],
[[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 17/27648],
[[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 17/120960],
[[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 29/207360],
[[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 7/14400],
[[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 29/24192],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 1/10368],
[[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 13/145152],
[[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 1/5184],
[[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 7/51840],
[[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 5/27648],
[[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 53/165888],
[[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 1/27648],
[[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 49/51840],
[[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 1/38880],
[[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 5/12096],
[[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 1/3888],
[[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 17/622080],
[[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 5/15552],
[[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 11/248832],
[[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 7/62208],
[[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 1/4860],
[[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 1/23328],
[[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 1/2400],
[[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 7/9600],
[[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 11/26880],
[[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 13/184320],
[[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 53/107520],
[[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 17/10752],
[[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 27/40960],
[[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1/3360],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 7/460800],
[[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 1/8064],
[[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 67/442368],
[[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 43/184320],
[[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 73/221184],
[[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 11/9216],
[[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 419/884736],
[[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 1/322560],
[[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 1/138240],
[[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 1/19200],
[[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 37/829440],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 1/2304],
[[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 1/64512],
[[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 7/165888],
[[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 23/552960],
[[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 25/13824],
[[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 41/110592],
[[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 163/221184],
[[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 5/9216],
[[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 17/193536],
[[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 31/414720],
[[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 1/9216],
[[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 7/6912],
[[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 29/1990656],
[[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 1/3072],
[[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 11/414720],
[[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 23/373248],
[[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 19/215040],
[[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 1/4096],
[[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 17/172032],
[[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 81/81920],
[[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 1/768],
[[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 13/147456],
[[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 71/245760],
[[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 59/147456],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 73/331776],
[[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 79/6635520],
[[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 245/294912],
[[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 35/294912],
[[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 517/442368],
[[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 1/34560],
[[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 37/1290240],
[[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 17/184320],
[[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 17/230400],
[[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 13/9216],
[[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 227/884736],
[[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 17/491520],
[[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 7/15360],
[[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 5/129024],
[[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 169/6635520],
[[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 23/442368],
[[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 13/1105920],
[[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 21/163840],
[[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 71/147456],
[[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 113/737280],
[[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 1/8640],
[[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 6487/13271040],
[[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 253/589824],
[[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 21/204800],
[[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 23/294912],
[[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 2009/11059200],
[[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 40601/464486400],
[[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 1/7560],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 1/36000],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 1/3136],
[[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 11/16800],
[[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 7/64800],
[[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/3528],
[[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 11/90720],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 1/7200],
[[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 19/54432],
[[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 1/5400],
[[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 1/7200],
[[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1/54432],
[[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1/15552],
[[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 1/13608],
[[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 1/15552],
[[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 1/116640],
[[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 1/186624],
[[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 1/29160],
[[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 1/16800],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 17/46080],
[[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 1/6144],
[[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 1/5376],
[[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 1/110592],
[[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 1/16128],
[[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 1/7560],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 13/19200],
[[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 101/193536],
[[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 1/5120],
[[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 1/6144],
[[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 35/110592],
[[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 1/1512],
[[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 1/3840],
[[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 37/43200],
[[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 1/1512],
[[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 17/48384],
[[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 1/3456],
[[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 49/155520],
[[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 181/497664],
[[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 29/51840],
[[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 1/1296],
[[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 1/4320],
[[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 107/622080],
[[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 1/7776],
[[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 79/746496],
[[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 1/15552],
[[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 7/14580],
[[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 1/11664],
[[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 1/1920],
[[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1/9600],
[[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 1/26880],
[[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 23/1290240],
[[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 47/107520],
[[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 11/17920],
[[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 1/8192],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 31/92160],
[[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 13/21504],
[[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 29/221184],
[[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 97/184320],
[[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 11/9216],
[[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 29/884736],
[[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 3/17920],
[[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 1/25920],
[[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 19/57600],
[[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 55/193536],
[[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 1/6144],
[[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 17/34560],
[[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 73/184320],
[[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 49/55296],
[[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 113/221184],
[[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 1/1152],
[[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 1/6480],
[[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 31/64512],
[[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 11/165888],
[[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 1/6912],
[[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 41/41472],
[[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 25/221184],
[[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 7/9216],
[[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 35/82944],
[[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 61/186624],
[[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 37/71680],
[[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 125/516096],
[[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 149/122880],
[[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 11/38400],
[[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 5/129024],
[[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 169/6635520],
[[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 113/737280],
[[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 227/884736],
[[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 71/147456],
[[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 517/442368],
[[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 1/8640],
[[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 17/184320],
[[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 37/1290240],
[[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 13/1105920],
[[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 13/9216],
[[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 23/442368],
[[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 245/294912],
[[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 17/230400],
[[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 73/331776],
[[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 21/163840],
[[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 7/15360],
[[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 79/6635520],
[[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 17/491520],
[[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 35/294912],
[[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 1/34560],
[[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 367/1474560],
[[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 17/1769472],
[[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 6127/8847360],
[[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 37/3686400],
[[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 11/230400],
[[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 227/4423680],
[[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 7/147456],
[[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 319/11059200],
[[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 47/460800],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 19/230400],
[[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 1/73728],
[[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 17/725760],
[[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 1/120960],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 161/288000],
[[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 47/193536],
[[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 11/414720],
[[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 4/4725],
[[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 83/518400],
[[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 7/14400],
[[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 1/6912],
[[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 163/435456],
[[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 7/51840],
[[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 7/38880],
[[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 67/497664],
[[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 7/51840],
[[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 13/25920],
[[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 1/12960],
[[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 421/1866240],
[[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 307/3732480],
[[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 209/583200],
[[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 1/23328],
[[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 1/4800],
[[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 37/23224320],
[[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 3/35840],
[[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 17/215040],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 21/25600],
[[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 263/322560],
[[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 287/3317760],
[[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 109/307200],
[[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 251/552960],
[[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 529/967680],
[[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 23/414720],
[[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 1/1800],
[[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 1/1344],
[[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 1/5120],
[[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 127/138240],
[[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 29/552960],
[[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 209/276480],
[[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 23/221184],
[[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 13/20736],
[[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 1/25920],
[[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 367/483840],
[[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 31/622080],
[[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 91/155520],
[[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 79/155520],
[[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 73/331776],
[[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 119/207360],
[[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 191/207360],
[[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 25/46656],
[[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 31/35840],
[[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 89/645120],
[[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 413/614400],
[[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 1/38400],
[[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 11/43008],
[[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 49/1327104],
[[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 1343/2211840],
[[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 607/884736],
[[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 421/1105920],
[[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 1/8640],
[[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 611/3870720],
[[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 47/184320],
[[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 191/276480],
[[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 25/165888],
[[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 485/442368],
[[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 187/518400],
[[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 695/995328],
[[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 257/1474560],
[[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 7/46080],
[[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 319/11059200],
[[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 227/4423680],
[[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 7/147456],
[[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 6127/8847360],
[[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 11/230400],
[[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 37/3686400],
[[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 367/1474560],
[[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 17/1769472],
[[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 1007/8847360],
[[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 29/10160640],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 31/288000],
[[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 169/453600],
[[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 271/7257600],
[[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 7/86400],
[[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 7/62208],
[[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 1/69120],
[[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 37/362880],
[[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 1/155520],
[[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 151/1866240],
[[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 77/3732480],
[[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 49/583200],
[[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 1/38400],
[[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/23224320],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 797/1152000],
[[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 73/193536],
[[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 313/15482880],
[[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 19/307200],
[[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 119/2211840],
[[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 743/1209600],
[[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 1/32400],
[[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 1/2700],
[[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 11/16128],
[[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 37/414720],
[[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 1141/2073600],
[[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 221/829440],
[[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 91/414720],
[[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 689/1451520],
[[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 89/5806080],
[[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 137/194400],
[[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 61/622080],
[[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 493/2985984],
[[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 29/207360],
[[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 461/622080],
[[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 313/933120],
[[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 919/1612800],
[[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 167/3612672],
[[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 4523/25804800],
[[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 479/967680],
[[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 239/6635520],
[[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 4793/5529600],
[[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 103/221184],
[[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 23/221184],
[[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 1/32400],
[[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 641/3870720],
[[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 827/1105920],
[[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 1969/5806080],
[[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 83/442368],
[[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 1621/2211840],
[[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 1301/2073600],
[[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 2207/2488320],
[[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 2789/22118400],
[[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 37/1612800],
[[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 2009/11059200],
[[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 23/294912],
[[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 253/589824],
[[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 21/204800],
[[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 6487/13271040],
[[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 1007/8847360],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 3449/16128000],
[[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 41/967680],
[[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 71/46448640],
[[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 1903/6773760],
[[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 13/1741824],
[[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 53/518400],
[[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 659/2903040],
[[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 89/5806080],
[[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 679/8294400],
[[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 43/1658880],
[[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 11/414720],
[[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 2381/20321280],
[[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 1/580608],
[[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 701/2332800],
[[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 9857/209018880],
[[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 10459/43545600],
[[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 121/1866240],
[[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 3263/22579200],
[[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 433/81285120],
[[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 407/25804800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 11/27648],
[[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 143/9289728],
[[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 4087/7741440],
[[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 5161/30965760],
[[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 23/2211840],
[[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 1/518400],
[[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 829/9031680],
[[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 3353/4147200],
[[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 589/6531840],
[[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 11/90720],
[[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 21631/92897280],
[[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 11/22400],
[[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1327/2488320],
[[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 8801/154828800],
[[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 37/29030400],
[[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 481/1228800],
[[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 223/3317760],
[[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 2017/7741440],
[[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 209/1658880],
[[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 4067/7962624],
[[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 47/460800],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 341/16128000],
[[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 7951/152409600],
[[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 1/1360800],
[[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 1/103680],
[[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 59/2903040],
[[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 1/1161216],
[[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 169/20321280],
[[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 1/17418240],
[[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 169/4665600],
[[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 757/209018880],
[[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 1079/43545600],
[[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 89/7526400],
[[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 29/162570240],
[[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 209/1505280],
[[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 83/27869184],
[[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 17369/139345920],
[[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 17831/696729600],
[[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 1105/48771072],
[[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 42887/116121600],
[[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 41/5225472],
[[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 2191/59719680],
[[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 2059/92897280],
[[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 23129/130636800],
[[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 941/6967296],
[[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 167/13271040],
[[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 1/29030400],
[[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 5857/15482880],
[[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 113/3096576],
[[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 17209/185794560],
[[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 5051/58060800],
[[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 81439/278691840],
[[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 40601/464486400],
[[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 12161/609638400],
[[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 1/3981312],
[[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 6673/696729600],
[[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 1867/1393459200],
[[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 547/243855360],
[[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 26059/373248000],
[[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 1187/261273600],
[[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 913/32659200],
[[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 73/6967296],
[[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 1627/1393459200],
[[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 122443/696729600],
[[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 7603/696729600],
[[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 2077/139345920],
[[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 2687/87091200],
[[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 345479/4180377600],
[[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 38687/836075520],
[[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 149/152409600],
[[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 1/139345920],
[[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 17/243855360],
[[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 23141/5225472000],
[[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 401/2090188800],
[[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 197/130636800],
[[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 7/199065600],
[[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 140057/3483648000],
[[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 6763/4180377600],
[[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 95/111476736],
[[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 5681/1045094400],
[[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 43543/4180377600],
[[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 55591/4180377600],
[[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 44923/10450944000],
[[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 29/261273600],
[[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 227/522547200],
[[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 1949/4180377600],
[[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 257/130636800],
[[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 1777/10450944000],
[[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 23/8360755200],
[[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/83607552],
[[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 23/167215104],
[[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 29/8360755200],
[[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 1/7560],
[[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 1/10368],
[[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 1/896],
[[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/3780],
[[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560],
[[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 1/4800],
[[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 1/6912],
[[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 1/36288],
[[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 1/77760],
[[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/7680],
[[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/1890],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 13/30240],
[[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/12960],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 1/6400],
[[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 1/138240],
[[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 1/24192],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 11/48384],
[[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/2240],
[[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 1/10368],
[[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 11/77760],
[[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 1/3840],
[[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 13/120960],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 1/48384],
[[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 1/11612160],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 23/134400],
[[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 1/103680],
[[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 121/2073600],
[[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 733/174182400],
[[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 1/1536],
[[[1, 2], [2, 3], [3, 1], [7, 1], [9, 1], [14, 1]], 1/504],
[[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 1/10368],
[[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [16, 1]], 1/896],
[[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 1/448],
[[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280],
[[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 1/1536],
[[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 2], [2, 3], [6, 1], [7, 1], [14, 1], [18, 1]], 1/504],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 1/15552],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1800],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 1/19440],
[[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 1/1512],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/7560],
[[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 1/3240],
[[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 1/8400],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 1/4800],
[[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 1/1728],
[[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 1/36288],
[[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 1/5184],
[[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 1/77760],
[[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 7/7680],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1536],
[[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 1/17280],
[[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 1/840],
[[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 1/2520],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 1/6048],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 1/5184],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 1/15552],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 1/12960],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 1/10368],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 1/14400],
[[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 37/30240],
[[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 1/2592],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 13/19200],
[[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 1/8640],
[[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 29/48384],
[[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 11/103680],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1440],
[[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 23/51840],
[[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 13/38880],
[[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 11/8960],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 1/27648],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 1/34560],
[[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 11/23040],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 1/28800],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 17/48384],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 1/41472],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 13/103680],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 1/3456],
[[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 1/207360],
[[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 1/259200],
[[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 11/15120],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 59/241920],
[[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 29/11612160],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 53/50400],
[[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 1/10368],
[[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 107/259200],
[[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 47/230400],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 31/967680],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 253/23224320],
[[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 1/10800],
[[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 1/34836480],
[[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1/43545600],
[[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 11353/174182400],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 13/139345920],
[[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 661/116121600],
[[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 1/1536],
[[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [14, 1]], 1/504],
[[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 1/10368],
[[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 1/448],
[[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [16, 1]], 1/896],
[[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 1/1536],
[[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 1/1280],
[[[1, 3], [2, 2], [6, 1], [7, 1], [14, 1], [18, 1]], 1/504],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/3072],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 1/15552],
[[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 1/1536],
[[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 5/9216],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1800],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 1/19440],
[[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 1/3024],
[[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 1/6480],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/2592],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 1/3072],
[[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 1/2160],
[[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1008],
[[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 1/2592],
[[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/1728],
[[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 1/2560],
[[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 1/2304],
[[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 1/10368],
[[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 1/224],
[[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 3/2560],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 1/9600],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 1/768],
[[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 1/1536],
[[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 1/17280],
[[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 5/9216],
[[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 1/840],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 1/7200],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 1/6048],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 1/2592],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 1/5184],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 1/12960],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 1/15552],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/2048],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 1/16128],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 1/13824],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/34560],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 1/2592],
[[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/2304],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 7/14400],
[[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 1/3240],
[[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 7/12960],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 1/4032],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 1/6912],
[[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1/3456],
[[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1200],
[[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 11/19200],
[[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 1/2688],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2304],
[[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 5/20736],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 7/17280],
[[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1/5184],
[[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 1/768],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 1/896],
[[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 7/27648],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 1/2688],
[[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 7/11520],
[[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 3/5120],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 1/5760],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 59/48384],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 1/5184],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 7/11520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1152],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/10368],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 11/64512],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 23/55296],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 7/34560],
[[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 1/12960],
[[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/46080],
[[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 1/16200],
[[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 1/672],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 5/27648],
[[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1/13824],
[[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8640],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 53/80640],
[[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 17/829440],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 1/630],
[[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 1/3456],
[[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 7/8640],
[[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 257/230400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 307/967680],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 1139/7741440],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 61/86400],
[[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 1/207360],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 23/552960],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 5/110592],
[[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 37/34836480],
[[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 37/43545600],
[[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 1/172800],
[[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 3047/9676800],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 17/5806080],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 919/11612160],
[[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1/34836480],
[[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/3780],
[[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 1/10368],
[[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 1/896],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1536],
[[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 1/9600],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 1/3072],
[[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 1/8064],
[[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 1/768],
[[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 5/9216],
[[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 1/840],
[[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 1/2592],
[[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 1/17280],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/3072],
[[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456],
[[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 1/2160],
[[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1800],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1008],
[[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 1/2592],
[[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 1/1728],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 1/15552],
[[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 1/19440],
[[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 3/2560],
[[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 1/224],
[[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 1/2560],
[[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 1/1536],
[[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 5/9216],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/14400],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/5184],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 1/7776],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 1/15552],
[[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 29/6144],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 5/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/6912],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/34560],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/3456],
[[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 1/1024],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 5/18432],
[[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1/1536],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 1/1600],
[[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 1/2160],
[[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 1/4800],
[[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 1/288],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 1/10080],
[[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 1/4320],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 1/4032],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1/2016],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 1/4320],
[[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 1/1728],
[[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1/5760],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 1/1536],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 1/5760],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 7/3456],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 5/18432],
[[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 1/2304],
[[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 7/4320],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 5/6912],
[[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 1/1728],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 1/1200],
[[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/12960],
[[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1120],
[[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/560],
[[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 1/672],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 1/19200],
[[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 1/8064],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 1/16128],
[[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 1/6912],
[[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 1/17280],
[[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 3/8960],
[[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 1/320],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 1/2688],
[[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 11/9216],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 1/7680],
[[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 3/5120],
[[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 7/28800],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 19/16128],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 1/2592],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 11/10368],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 1/1440],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/2592],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 53/64512],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 89/55296],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 7/8640],
[[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 5/6912],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 11/36864],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1/30720],
[[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 11/46080],
[[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 11/10080],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 1/1024],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 23/69120],
[[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1792],
[[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 1/18432],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 1/3456],
[[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 17/34560],
[[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 29/15360],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 73/80640],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 961/1658880],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 23/14400],
[[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 1/12960],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 109/276480],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 23/69120],
[[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 13/387072],
[[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 23/2419200],
[[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 1/10800],
[[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 821/1382400],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 3977/139345920],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 1621/4300800],
[[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 37/34836480],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 1/1536],
[[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 1/9600],
[[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 1/8064],
[[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 1/1536],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 1/2520],
[[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 1/840],
[[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 1/4800],
[[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 1/1728],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 1/17280],
[[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1800],
[[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 1/1512],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 1/6480],
[[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 1/36288],
[[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 1/5184],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 1/3240],
[[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 1/77760],
[[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 1/15552],
[[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1/19440],
[[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 7/7680],
[[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 1/4480],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 1/19200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 1/1200],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 1/8064],
[[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 1/672],
[[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 1/26880],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 1/11520],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 29/6144],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 1/1536],
[[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 1/2688],
[[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 11/9216],
[[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 3/5120],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 5/18432],
[[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 1/2304],
[[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1/1536],
[[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 1/4800],
[[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 1/2160],
[[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/1600],
[[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 1/288],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 1/17280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1/14400],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1/2016],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 1/4032],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 5/6912],
[[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 1/7680],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 1/16128],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 5/6912],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1/5760],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 7/3456],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 5/18432],
[[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 1/10080],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 1/4320],
[[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 7/4320],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/4320],
[[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/12960],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 1/1728],
[[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 1/34560],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1/3456],
[[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 1/7776],
[[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 1/15552],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 3/8960],
[[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/560],
[[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 1/1344],
[[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 1/9216],
[[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1/320],
[[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 1/1024],
[[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 1/9600],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 5/16128],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 7/10368],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 1/1728],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 1/8640],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 1/3456],
[[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 17/110592],
[[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 3/7168],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 23/21504],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 41/18432],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 7/11520],
[[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1/864],
[[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 3/10240],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 125/36864],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/3072],
[[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 7/4608],
[[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/2160],
[[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 1/4480],
[[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 7/23040],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 19/41472],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 7/1728],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 13/23040],
[[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 7/3456],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 19/18432],
[[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 7/13824],
[[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1/3456],
[[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1/960],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 1/8064],
[[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 7/36864],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 1/26880],
[[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 1/11520],
[[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 1/27648],
[[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 1/960],
[[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1024],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 5/4032],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 107/110592],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 1/640],
[[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 25/18432],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 19/23040],
[[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 79/276480],
[[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 53/345600],
[[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 55/110592],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 1/8960],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 1097/1382400],
[[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 23/1935360],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 1/8400],
[[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/1890],
[[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 1/4800],
[[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 1/6912],
[[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 1/3024],
[[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 1/6480],
[[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 1/36288],
[[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 1/10368],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/7560],
[[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 1/6480],
[[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 1/77760],
[[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 11/19200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/1200],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 1/2688],
[[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 1/1344],
[[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 1/2688],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 1/2048],
[[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 1/896],
[[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 7/27648],
[[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 3/5120],
[[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 7/14400],
[[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 1/2016],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 1/4032],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 7/17280],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/7200],
[[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 1/4032],
[[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 5/20736],
[[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 7/11520],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 1/16128],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 1/13824],
[[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 1/3456],
[[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 1/2304],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 1/1120],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 7/12960],
[[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/4320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/4320],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1/5184],
[[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/12960],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 1/6048],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 1/2592],
[[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 1/34560],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/6912],
[[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 1/2592],
[[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 1/3240],
[[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/12960],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 1/5184],
[[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 1/15552],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 1/768],
[[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 1/1120],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 1/26880],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 1/11520],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/9600],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 19/41472],
[[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 1/8064],
[[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 7/36864],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/1024],
[[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 1/960],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 23/21504],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 3/7168],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 19/18432],
[[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 7/13824],
[[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 1/3072],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 125/36864],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 3/10240],
[[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 7/4608],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 1/4480],
[[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/3456],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 13/23040],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 1/27648],
[[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2880],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 5/16128],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 7/10368],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 7/1728],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 7/23040],
[[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 7/3456],
[[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 7/11520],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 41/18432],
[[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 1/864],
[[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 1/2160],
[[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/8640],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 1/1728],
[[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 1/3456],
[[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 1/960],
[[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 17/110592],
[[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 1/3840],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 19/64512],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 59/64512],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 17/24576],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 1/1728],
[[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 13/36864],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 53/12288],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 41/46080],
[[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 53/55296],
[[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 61/69120],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 37/221184],
[[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 1/13824],
[[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440],
[[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 29/184320],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 35/147456],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 983/1105920],
[[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 13/276480],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 13/19200],
[[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 1/3456],
[[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 1/8640],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 3/8960],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 1/34560],
[[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 1/1344],
[[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1/27648],
[[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 1/14400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1440],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 23/51840],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/14400],
[[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 29/48384],
[[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 11/103680],
[[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 11/23040],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 37/30240],
[[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 1/2592],
[[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 13/38880],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 1/6048],
[[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 1/10368],
[[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/12960],
[[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/12960],
[[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 1/15552],
[[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 11/8960],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 1/1344],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 7/28800],
[[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 1/1792],
[[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 1/18432],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 29/15360],
[[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 1/1920],
[[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 53/64512],
[[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 1/30720],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 11/36864],
[[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 11/46080],
[[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 11/10080],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 23/69120],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 17/34560],
[[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/2160],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 19/16128],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 1/2592],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 1/1024],
[[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 1/3456],
[[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 7/8640],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 89/55296],
[[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 5/6912],
[[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1/4320],
[[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1440],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 11/10368],
[[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 1/2592],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 29/184320],
[[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 1/1440],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 59/64512],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 19/64512],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 37/221184],
[[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 1/13824],
[[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 41/46080],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 53/12288],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 13/36864],
[[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 53/55296],
[[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 61/69120],
[[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 1/1728],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 17/24576],
[[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 1/3456],
[[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3840],
[[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 227/1843200],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 1217/2211840],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 481/921600],
[[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 5/55296],
[[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 1/6400],
[[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 1/24192],
[[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 1/138240],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/2240],
[[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 1/10368],
[[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 11/48384],
[[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1/103680],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 13/30240],
[[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/12960],
[[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 11/77760],
[[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/3840],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 1/630],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 1/3456],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 1/5760],
[[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 53/80640],
[[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 17/829440],
[[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 257/230400],
[[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 11/64512],
[[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 1/46080],
[[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 1/672],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1/13824],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 7/8640],
[[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 1/8640],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 59/48384],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 1/5184],
[[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 5/27648],
[[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 7/34560],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 23/55296],
[[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 1/12960],
[[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/16200],
[[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 1/1152],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 7/11520],
[[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 1/10368],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 55/110592],
[[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1/1920],
[[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 5/4032],
[[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 19/23040],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 25/18432],
[[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 79/276480],
[[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 53/345600],
[[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 1/640],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 107/110592],
[[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 1/3456],
[[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 481/921600],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 1217/2211840],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 227/1843200],
[[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 5/55296],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 53/50400],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 1/10368],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 1/28800],
[[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 59/241920],
[[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 29/11612160],
[[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 47/230400],
[[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 11/15120],
[[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 107/259200],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 17/48384],
[[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 1/41472],
[[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 1/207360],
[[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/259200],
[[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 1/3456],
[[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 13/103680],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 821/1382400],
[[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 1/10800],
[[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 73/80640],
[[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 23/69120],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 109/276480],
[[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 13/387072],
[[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 23/2419200],
[[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 23/14400],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 961/1658880],
[[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 1/12960],
[[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 983/1105920],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 35/147456],
[[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 13/276480],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 23/134400],
[[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 1/103680],
[[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/48384],
[[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/11612160],
[[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 13/120960],
[[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 121/2073600],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 3047/9676800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 1/172800],
[[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 307/967680],
[[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 5/110592],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 23/552960],
[[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 37/34836480],
[[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 37/43545600],
[[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 61/86400],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1139/7741440],
[[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 1/207360],
[[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 1097/1382400],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1/8960],
[[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 23/1935360],
[[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 11353/174182400],
[[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 31/967680],
[[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/34836480],
[[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/43545600],
[[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 1/10800],
[[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 253/23224320],
[[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 1621/4300800],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 3977/139345920],
[[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 37/34836480],
[[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 733/174182400],
[[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 919/11612160],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 17/5806080],
[[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/34836480],
[[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 661/116121600],
[[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 13/139345920],
[[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 1/576],
[[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 1/576],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/960],
[[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1344],
[[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640],
[[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 1/576],
[[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 1/576],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/1080],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/1080],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/960],
[[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/2016],
[[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/4320],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/3456],
[[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/8640],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1120],
[[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2160],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 11/16128],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/2160],
[[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 19/138240],
[[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/960],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/2016],
[[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/1080],
[[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4320],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 1/1152],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/1080],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/720],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 7/2304],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/4032],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 1/576],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/8640],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/672],
[[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/840],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/3456],
[[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/720],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/2880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2880],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 41/16128],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/3360],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/540],
[[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/7680],
[[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 31/34560],
[[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520],
[[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/960],
[[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/2016],
[[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/4320],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/6720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2880],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/720],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 7/2304],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/3456],
[[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/864],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/672],
[[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/1920],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/840],
[[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/1680],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/576],
[[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/864],
[[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/8640],
[[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5/5376],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5/1792],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/6720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/672],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 1/720],
[[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/1440],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1536],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1280],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/768],
[[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/960],
[[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 31/57600],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 23/11520],
[[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 7/11520],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1120],
[[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/2160],
[[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 1/2304],
[[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/1680],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/4032],
[[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 1/3456],
[[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/8640],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6720],
[[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/960],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 5/1792],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/672],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 5/5376],
[[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1344],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1280],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1920],
[[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/768],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1536],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/384],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/720],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/720],
[[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/3072],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/320],
[[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3840],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/640],
[[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1280],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/1344],
[[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/8640],
[[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/3360],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 41/16128],
[[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1344],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/7680],
[[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/540],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2880],
[[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1440],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/640],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/320],
[[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/1280],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3072],
[[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3840],
[[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/6720],
[[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 11/16128],
[[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2160],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 23/11520],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 31/57600],
[[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 7/11520],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 31/34560],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/57600],
[[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520],
[[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 19/138240],
[[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/480],
[[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/480]
]}